## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.

The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.

## Questions

Q1) The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not.

How many different sequences of scans are allowed for any given person’s original scan?

Q2) The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.

How many different sequences are allowed for any given person’s original scan?
A) 7
B) 5
C) 8
D) 13

Q3) The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.

Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.

How many different sequences of scans are allowed for any given person’s original scan?

Q4) The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL.

Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once.

How many different sequences of scans are allowed if the original scan sequence is LRLTIM?
A) 8
B) 11
C) 13
D) 14

Q1: 11
Q2: Option (C)
Q3: 15
Q4: Option (C)

## Solutions

Q1
CAT 2017 – Logical Reasoning
Since the order of exactly one out of the five scans can’t be changed, either all the scans are in the correct order or one pair of scans can be varied, i.e. their positions can be interchanged.
Case (1): when all the scans are in the correct order = 1 way
Case (2): when exactly two are interchanged: We can choose any two of the five scans that can be interchanged in 5C2 ways = 10 ways
Case(1) + Case(2) = 10+1 = 11

Q2
CAT 2017 – Logical Reasoning
Let the original scan be: TIMRL
(1) All sequence as original = 1 way
(2) Interchange of TI = 1 way
(TI) + (RL) = 1 way
= 2 way
(3) Interchange of IM = 1 way
(IM) + (RL) = 1 way
= 2 way
(4) Interchange of MR = 1 way
(MR) + (TI) = 1 way
= 2 way
(5) Interchange of RL = 1 way
Total = 1 + 2 + 2 + 2 + 1 = 8 ways.
Option (C)

Q3
CAT 2017 – Logical Reasoning
Let us say original input: TIMTRL.
Case (1): None of them misplaced : 1.
Case (2): When exactly two are misplaced.
T can be misplaced in 4 ways.
I can be misplaced in 4 ways.
M can be misplaced in 3 ways.
T can be misplaced in 2 ways.
R can be misplaced in 1 way.
Total ways in case (2) = 4 + 4 + 3 + 2 + 1
= 14 ways.
Both case (1) and case (2) = 14 + 1 = 15 ways

Q4
CAT 2017 – Logical Reasoning
Given LRLTIM
The distinct possibilities are:
1. No shift = 1 way
2. (a) LR = 1 way
(b) LR + LT = 1 way
(c) LR + LT + IM = 1 way
(d) LR + IM = 1 way
(e) LR + IT = 1 way (Total 5 ways)
3. (a) RL = 1 way
(b) RL + TI = 1 way
(c) RL + IM = 1 way (Total 3 ways)
4. (a) LT = 1 way
(b) LT + IM = 1 way (Total 2 way)
5. TI = 1 way
6. IM = 1 way
Total ways = 1 + 5 + 3 +2 +1 + 1 = 13 ways.
Option (C)

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata
Logical Reasoning – Set 2: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row
Logical Reasoning – Set 3: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 4: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N).
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row.

Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge.

The following are known:
1. The eight friends were seated in six different rows.
2. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat.
3. Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat.
4. Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero.
5. Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.
6. Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

## Questions

Q1) In which row was Manik sitting?
A) 10
B) 11
C) 12
D) 13

Q2) How much extra did Jayanta pay for his choice of seat?
A) Rs. 300
B) Rs. 400
C) Rs. 500
D) Rs. 1000

Q3) How much extra did Gargi pay for her choice of seat?
A) 0
B) Rs. 300
C) Rs. 500
D) Rs. 1000

Q4) Who among the following did not pay any extra amount for his/her choice of seat?
A) Kikira
B) Manik
C) Gargi
D) Tapesh

Q1: Option (A)
Q2: Option (C)
Q3: Option (D)
Q4: Option (D)

## Solutions

CAT 2017 – Logical Reasoning
Let’s take the initial letter of each friend. From the given data, we can observe that Row number 1 to 20 have extra charges except for middle seat. J, A, B must be in Aisle seats to get the sum as 4600; and we know that J, A, B paid different amount. Therefore,

G, K and K, G can be interchanged. Moreover they can be placed in row 1 to 0. So also the right window positions and aisle seats can be interchanged.

Q1
CAT 2017 – Logical Reasoning
Manik was sitting in Row number 10
Option (A)

Q2
CAT 2017 – Logical Reasoning
Jayanta paid Rs. 500 extra for his choice of seat
Option (C)

Q3
CAT 2017 – Logical Reasoning
Gargi paid Rs. 1000 extra for her choice of seat
Option (D)

Q4
CAT 2017 – Logical Reasoning
Tapesh did not pay any extra amount for his choice of seat
Option (D)

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row
Logical Reasoning – Set 3: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 4: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N).
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.

The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row.

## Questions

Q1) If the queen is at c5, and the other pieces at positions c2, gl, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.
A) 2 ‘
B) 3
C) 4
D) 5

Q2) If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?
A) f8
B) a7
C) c1
D) d3

Q3) If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then from how many positions the queen cannot attack any of the pieces?
A) 0
B) 3
C) 4
D) 6

Q4) Suppose the queen is the only piece on the board and it is at position d5.
In how many positions can another piece be placed on the board such that it is safe from attack from the queen?

A) 32
B) 35
C) 36
D) 37

Q1: Option (C)
Q2: Option (D)
Q3: Option (C)
Q4: Option (C)

## Solutions

Q1
CAT 2017 – Logical Reasoning

P1 is in the same column as Queen
P2 is in the same diagonal as Queen
P3 is not in the same diagonal, column or row of the queen
P4 is in the same row as queen
P5 is diagonal to queen
So, acc to the question, queen can attack P1, P2, P4 and P5

Q2
CAT 2017 – Logical Reasoning
When Queen is at f8

The Queen can attack P6 (same row), P3 (Same diagonal). So, 2

When Queen is at a7

The Queen can attack P2 (Same column), P4 (Same row). So, 2

When Queen is at c1

The Queen can attack P1 (Same row), P2 (Same Diagonal). So, 2

When Queen is at d3

Here, the queen can attack P2 (Same row), P4 (Same Column), P5 (Same Diagonal). So, 3

Option (D) is the right answer.

Q3
CAT 2017 – Logical Reasoning
Queen cannot be placed in Columns A, B, D, and H. From the remaining columns, it has to be assessed. For e.g.
COLUMN C:-> If Queen is placed in c2, it will attack h7. Further, other positions in the column c can be ruled out. Similarly, analyzing other squares, the result is as follows:
Queen can be placed in e2, f2, g2, g5 (such that the pieces on board are NOT under attack). So, there are a total of 4 such squares for the Queen.

Q4
CAT 2017 – Logical Reasoning
Given that Queen is at d5. The squares which will be under attack are as indicated below. These squares are either lying in the diagonal, or in the row or in the column. The remaining squares that are safe have been kept empty. A total of 36 such squares are safe (by counting).

Option (C)

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 4: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N).
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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b) 2 Live Classes (online) every week for doubt clarification
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## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below:

1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup 3.
3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5.
4. Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even number.
6. Tea in Cup 3 got a higher rating than that in Cup 1. 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam.

## Questions

Q1) What was the second highest rating given?

Q2) What was the number of the cup that contained tea from Ooty?

Q3) If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad?
A) 3
B) 5
C) 1
D) 6

Q4) If cups containing teas from Wayanad and Ooty had consecutive numbers, which of the following statements may be true?
A) Cup 5 contains tea from Assam
B) Cup 1 contains tea from Darjeeling
C) Tea from Wayanad has got a rating of 6
D) Tea from Darjeeling got the minimum rating

Q1: 7
Q2: 4
Q3: Option (B)
Q4: Option (B)

## Solutions

CAT 2017 – Logical Reasoning
There can be only two even numbers in rating.

Assam > Wayanand > Munnar (Ratings)

Q1
CAT 2017 – Logical Reasoning
As per the table, we can see that the second highest rating is 7 (Himachal, Cup number 6)

Q2
CAT 2017 – Logical Reasoning
As per the table, the cup from Ooty has number 4.

Q3
CAT 2017 – Logical Reasoning
If tea from Munnar did not get the minimum rating, then tea from Darjeeling got the minimum rating (2)
The remaining ratings are 5, 6, 3
The only possibility is
Assam (6, Cup 3) > Wayanand (5, Cup 1) > Munnar (3, Cup 5)
So, the rating of tea from Wayanand is 5.
Option (B)

Q4
CAT 2017 – Logical Reasoning
The choices are Cup 3 (Rating – 6) and Cup 5 (Rating – 3), Assam can’t be Cup 5 because it has a higher rating than Wayanand. So, Wayanad will be Cup 5. Munnar has a rating lesser than Wayanand. So, the only choice for Munnar is Cup 2 (Rating – 2). Assam can be Cup 1 or 3 and Darjeeling can also be Cup 1 or 3.
Option (B) seems fit.

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N).
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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b) 2 Live Classes (online) every week for doubt clarification
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## DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.

Further, the following are known:

1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.

2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum

## Questions

Q1) Which of the following is NOT necessarily true?
A) Dorm 1 needs a moderate repair
B) Dorm 5 repair will cost no more than Rs. 4 Crores
C) Dorm 7 needs an extensive repair
D) Dorm 10 repair will cost no more than Rs. 4 Crores

Q2) What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)?

Q3) Suppose further that: 1. 4 of the 10 dorms needing repair are women’s dorms and need a total of Rs. 20 Crores for repair. 2. Only one of Dorms 1 to 5 is a women’s dorm.

What is the cost for repairing Dorm 9 (in Rs. Crores)?

Q4) Suppose further that: 1. 4 of the 10 dorms needing repair are women’s dorms and need a total of Rs. 20 Crores for repair. 2. Only one of Dorms 1 to 5 is a women’s dorm.

Which of the following is a women’s dorm?
A) Dorm 2
B) Dorm 5
C) Dorm 8
D) Dorm 10

Q1: Option (D)
Q2: 19
Q3: 3
Q4: Option (D)

## Solutions

CAT 2017 – Data Interpretation

Q1)
CAT 2017 – Data Interpretation
As per the options, Dorm 1 needs a moderate repair is possibly true. Dorm 5 does not need more than Rs.4 crore, which is true.
Hence, Dorm 10’s repair not costing more than Rs.4 crore is not necessarily true as it may require Rs.6 crore or Rs.1 crore.
Option (D)

Q2)
CAT 2017 – Data Interpretation
As per the question, number of dorms with repair cost as 3 crores = 3
Since Dorm 1 and 2 already have the repair cost as Rs. 3 crores.
So, out of Dorm 5 and 9, only one can have the repair cost as Rs. 3 crores
Total cost = 3+3+3/4+6+4/3 = 19
Ans : 19

Q3)
CAT 2017 – Data Interpretation
4 of the 10 dorms are women’s dorms which need Rs.20 crore for repairs. As per the question, from 1 to 5 there is only one women’s dorm. This is possible with repairing costs Rs.6, Rs.6, Rs.5 and Rs.3 crore. Among the first 5, dorm 4 should be women’s dorm. Rs.6 cr dorms can only be dorm 7 and dorm 10. Rs.3 crore can be from dorm 1, 3, 5 or 9. But 1, 3 or 5 are not women’s dorm. So it has to be dorm 9.
The repair cost for dorm 9 is Rs.3 crore. So, 3 crore is the right answer.

Q4)
CAT 2017 – Data Interpretation
4 of the 10 dorms are women’s dorms which need Rs.20 crore for repairs. Also from 1 to 5 there is only one women’s dorm. This is possible with repairing costs Rs.6, Rs.6, Rs.5 and Rs.3 crore. Among the first 5, dorm 4 should be women’s dorm. Rs.6 cr dorms can only be dorm 7 and dorm 10. Rs.3 crore can be from dorm 1, 3, 5 or 9. But 1, 3 or 5 are not women’s dorm. So it has to be dorm 9.
Dorm 10 should be women’s dorm.
Option (D)

## CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 2: There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven.
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).
Data Interpretation – Set 6: A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S).

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## DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

An old woman had the following assets:

(a) Rs. 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c) 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

## Questions

Q1) Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.

How much did Seeta receive in bank deposits (in lakhs of rupees)?
A) 30
B) 40
C) 20
D) 10

Q2) Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.

How many flats did Neeta receive?

Q3) The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits.

How many gold coins did the old woman have?
A) 72
B) 90
C) 180
D) 216

Q4) The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits.

How much did Geeta get in bank deposits (in lakhs of rupees)?

Q1: Option (C)
Q2: 2
Q3: Option (B)
Q4: 20

## Solutions

Amount in Bank Deposits = 70 lakhs
Amount for 1 house = 50 lakhs
Amount for 1 flat = 30 lakhs
Amount for 3 flats = 90 lakhs
Number of gold coins = n
Amount in gold coins = n lakhs
Total Amount = 210 + n
House will go to only one person, 1 Flat will go to only one person and 1 Gold coin will go to one person

Q1)
CAT 2017 – Data Interpretation
Assets were divided equally among the three and so were the gold coins.
Gold coins each daughter will receive = n/3
Total Amount with each person = (210 + n)/3
Total Amount with each person – Number of gold coins = 70
One child will get the house (worth Rs. 50 lakhs). Flat can’t be given to this child as it is worth 30 lakhs and limit will be exceeded. So, the child will get 50 lakhs (House) + 20 lakhs (Bank Deposits)
Second child will get 2 Flats (60 lakhs) + 10 lakhs (Bank Deposits)
Third child will get 1 Flat (30 lakhs) + 40 lakhs (Bank Deposits)
Neeta gets the minimum amount of Bank Deposit, so 2nd child will be Neeta
Geeta gets the maximum amount of Bank Deposit, so 3rd child will be Geeta
Seeta will be the 1st child
So, Seeta got Rs. 20 lakhs as Bank Deposit.
Option (C)

Q2)
CAT 2017 – Data Interpretation
We can get the answer to this question with the help of the first one.
Neeta will get 2 flats

Q3)
CAT 2017 – Data Interpretation
Total amount distributed by the old woman = Rs.70 lakh (bank deposits) + Rs.50 lakh (House) + Rs.90 lakhs (3 flats) i.e Rs.210 lakhs + Gold coins worth Rs.1 lakh each.
Ratio of distributed gold coins = 2 : 3 : 4,
Ratio of total assets distributed = 1:2:3
From both the ratios, we can see that
Seeta received 1/3 of the total property and 1/3 of the gold coins. This means her share is 1/3 (Bank deposits + house + flats) = Rs.70 lakhs.
Also, one child got all the three flats but not the house. One child other than Geeta got Rs.30 lakhs in bank deposits. From this we can conclude that Seeta cannot get all the three flats. As her share is Rs.70 lakhs + 1/3 (gold coins).
So, Seeta should receive one house and bank deposits of Rs.20 lakhs. This suggests that Neeta should get Rs.30 lakhs in bank deposits. Therefore, Geeta should get Rs.20 lakhs in bank deposits. From this, all the three flats should be received by Geeta. Let the number of gold coins received by Neeta, Seeta and Geeta be 2x, 3x and 4x respectively.
From these we’ve. (30+2x)/(70+3x) = 1/2 => x = 10
So, number of gold coins must be 90.
Option (B)

Q4)
CAT 2017 – Data Interpretation
Total amount distributed by the old woman = Rs.70 lakh (bank deposits) + Rs.50 lakh (House) + Rs.90 lakhs (3 flats) i.e Rs.210 lakhs + Gold coins worth Rs.1 lakh each
Ratio of distributed gold coins = 2 : 3 : 4,
Ratio of total assets distributed = 1:2:3
From both the ratios, we can see that
Seeta received 1/3 of the total property and 1/3 of the gold coins. This means her share is 1/3 (Bank deposits + house + flats) = Rs.70 lakhs.
Also, one child got all the three flats but not the house. One child other than Geeta got Rs.30 lakhs in bank deposits.
From this we can conclude that Seeta cannot get all the three flats. As her share is Rs.70 lakhs + 1/3 (gold coins).
So, Seeta should receive one house and bank deposits of Rs.20 lakhs. This implies Neeta should get Rs.30 lakhs in bank deposits. Hence Geeta should get Rs.20 lakhs in bank deposits.

## CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven.
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).
Data Interpretation – Set 6: A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S).

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## DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.

2. The number of students in E2 increased by 30 after the change process.

3. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3.

## Questions

Q1) How many elective courses among E1 to E6 had a decrease in their enrollments after the change process?
A) 4
B) 1
C) 2
D) 3

Q2) After the change process, which of the following is the correct sequence of number of students in the six electives El to E6?
A) 19, 76, 79, 21, 45, 60
B) 19, 76, 78, 22, 45, 60
C) 18, 76, 79, 23, 43, 61
D) 18, 76, 79, 21, 45, 61

Q3) After the change process, which course among El to E6 had the largest change in its enrollment as a percentage of its original enrollment?
A) E1
B) E2
C) E3
D) E6

Q4) Later, the college imposed a condition that if after the change of electives, the enrollment in any elective (other than E7) dropped to less than 20 students, all the students who had left that course will be required to re-enroll for that elective.
Which of the following is a correct sequence of electives in decreasing order of their final enrollments?

A) E2, E3, E6, E5, El, E4
B) E3, E2, E6, E5, E4, El
C) E2, E5, E3, El, E4, E6
D) E2, E3, E5, E6, El, E3

Q1: Option (C)
Q2: Option (D)
Q3: Option (D)
Q4: Option (A)

## Solutions

As per CAT 2017 – Data Interpretation – Set, we can see that
The remaining blanks can only be 0 or 1.
Based upon the conditions, we get the following solution:

Q1
As per the table above from CAT 2017 – Data Interpretation,
Courses that decreased in their enrollments after the change process are E1 and E4.
Option (C)

Q2
As per the table above from CAT 2017 – Data Interpretation, option (D) is the correct answer.

Q3
As per the table above from CAT 2017 – Data Interpretation,
% change in E6 is the maximum as it is going from 23 to 61, more than 2.5 times the original.
Option (D)

Q4
As per the table above from CAT 2017 – Data Interpretation,
Number of enrollments would change because no movement from E1 would be allowed. New numbers for E1 to E6 would be:
31
71
69
20
41
59
So, the decreasing order would be E2 E3 E6 E5 E1 E4
(Option A)

## CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).
Data Interpretation – Set 6: A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S).

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## DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:

## Questions

Q1) How many Thin Crust pizzas were to be delivered to Party 3?
A) 398
B) 162
C) 196
D) 364

Q2) How many Normal Cheese pizzas were required to be delivered to Party 1?
A) 104
B) 84
C) 16
D) 196

Q3) For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of TEC and D-EC pizzas to be delivered to Party 2?
A) 18
B) 12
C) 30
D) 24

Q4) Suppose that a T-NC pizza cost as much as a D-NC pizza, but 3/5th of the price of a D-EC pizza. A D-EC pizza costs Rs. 50 more than a T-EC pizza, and the latter costs Rs. 500.

If 25% of the Normal Cheese pizzas delivered to Party 1 were of Deep Dish variety, what was the total bill for Party 1?
A) Rs. 59480
B) Rs. 59840
C) Rs. 42520
D) Rs. 45240

Q1: Option (B)
Q2: Option (C)
Q3: Option (B)
Q4: Option (A)

## Solutions

Q1
As per CAT 2017 – Data Interpretation – Set,
With the original table given in the question 0.375*800 – (0.6+0.55)*120 = 162¬
Option (B)

Q2
As per CAT 2017 – Data Interpretation – Set,
With the original table given in the question 0.52*800-0.3*120-0.65*560 = 16
Option (C)

Q3
As per CAT 2017 – Data Interpretation – Set,
With the original table given in the question 120*((0.55-0.3/2) – (0.45-0.3/2)) = 120*(0.4-0.3) = 12
Option (B)

Q4
As per CAT 2017 – Data Interpretation – Set,
Cost of normal cheese pizza = 3/5th of (500 + 50) = 330
Number of normal cheese pizzas from Q2 = 16
From the remaining 120 – 16 = 104 pizzas, 0.6*120 – 25% of 16 = 60 are thin crust and the remaining 44 are Deep dish
Total cost = 60*500 + 44*550 + 16*330 = 59480
Option (A)

## CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 4: There were seven elective courses – El to E7 – running in a specific term in a college.
Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).
Data Interpretation – Set 6: A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S).

## Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
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## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

## Questions

Q1) How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?

Q2) If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-NB and a car that takes the route A-M-B?
A) 1
B) 0.1
C) 0.2
D) 0.9

Q3) A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and A-MN-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.

How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same route.)

Q4) A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and A-MN-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the – A-N-B route.

If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)
A) 26
B) 32
C) 29.9
D) 30

Q1: 2
Q2: Option (B)
Q3: 2
Q4: Option (B)

## Solutions

Q1
From CAT 2017 – Logical Reasoning – Set, we can infer that,

When two cars go from the route A – N – B

Total time taken = 30 minutes
When two cars go from the route A – M – B

Total time taken = 29.9 minutes
So, the number of cars that can go from the route A-N-B are 2

Q2
From CAT 2017 – Logical Reasoning – Set, we can infer that,

As we can see from the above question, the difference in time will be 30-29.9 = 0.1 minutes
Option (B)

Q3
From CAT 2017 – Logical Reasoning – Set, we can infer that,

When only one care takes the route A – N –B

Total time = 26 minutes
When only one car takes the route A – M – B

Total time = 26 minutes
So, police department will ask 2 cars to take the route A – M – N – B

Q4
From CAT 2017 – Logical Reasoning – Set, we can infer that,

When all cars follow the police order the time taken would be A-M-B (1 car) = 12 + 20 = 32 minutes.
A-M-N-B (2cars) = 12 + 8 + 12 = 32 minutes. A-N-B (1 car) = 20 + 12 =32 minutes.
Option (B)

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.

The underlying principle that they are working on is the following:

Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

## Questions

Q1) If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is:
A) 45
B) 90
C) 180
D) 135

Q2) Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:
A) 54
B) 120
C) 96
D) 60

Q3) Suppose the 10 cities are divided into 4 distinct groups 01,02,03,04 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following:
1. Both cities are in G1
2. Between A and any city in G2
3. Between B and any city in G3
4. Between C and any city in G4

Then the minimum number of direct flights that satisfies the underlying principle of the airline is:

Q4) Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following:
1. Both cities are in G1
2. Between A and any city in G2
3. Between B and any city in G3
4. Between C and any city in G4

However, due to operational difficulties at A, it was later decided that the only flights that would operate at A would be those to and from B. Cities in G2 would have to be assigned to G3 or to G4.

What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose?

Q1: Option (C)
Q2: Option (C)
Q3: 40
Q4: 4

## Solutions

Q1
As per CAT 2017 – Logical Reasoning – Set
For any pair of cities, say A and B, to satisfy the underlying principle, there must be a morning flight from A to B, an evening flight from B to A and a morning flight from B to A and an evening flight from A to B.
Only then can a person from A or B travel to B or A and return the same day. Hence, there must be four flights between any pair of cities.
Number of ways of selecting two cities from ten cities
= 10C2
= (10*9)/2 = 45
Hence, the minimum number of flights that must be scheduled = 45 ×4 = 180.
Option (C)

Q2
As per CAT 2017 – Logical Reasoning – Set
Let the ten cities be represented by A – J. Among these ten cities, consider A, B and C to be hubs and the other seven cities to be non-hub cities. It is given that any direct flight should originate or terminate at a hub.

Consider city D, which is not a hub. D is connected to each of A, B and C. Between D and each of A, B and C, theremust be four flights (see the above solution). Hence, from D, there must be 4 × 3 = 12 flights to the three hubs, A, B and C. Similarly, for each of the other six non-hub cities, there must be 12 flights connecting each non-hub city with the three hubs. Hence, a total of 12 ×7 = 84 flights will connect a non-hub city with a hub. In addition to this, the three hubs must be connected amongst themselves. Since there must be four flights between any pair of cities, there will be a total of 4 × 3 = 12 flights connecting any pair of hubs.

So, the total minimum number of flights that should be scheduled = 84 + 12 = 96.
Option (C)

Q3
As per CAT 2017 – Logical Reasoning – Set
Given that G1 has the cities A, B and C. G2, G3 and G4 have 3, 2 and 2 cities respectively.

As per the given conditions, we can see that a city in G2 cannot be connected by a direct flight to a city in G3 or G4. Hence, for a person to travel from a city in G2 to a city in G3 or G4, all the cities in G2 must be connected to A and from A, he can travel to B or C to travel to a city G3 or G4 respectively.

Hence, the 3 cities in G2 must be connected to A. Between each pair of cities there must be four flights. Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.

Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and B. Since there are 2 cities in G4, there must be 2 × 4 = 8 flights between cities in G4 and C. Also, the cities in G1, i.e., A, B and C must be connected to each other. Hence, there must be an additional 4 × 3 = 12 flights between these three cities. Therefore, the total minimum number of direct flights that must be scheduled = 12 + 8 + 8 + 12 = 40

Q4
As per CAT 2017 – Logical Reasoning – Set, it is given that the cities in G2 will be assigned to G3 or G4. However, this, by itself, will not result in any reduction in the number of flights because the cities in G2 will still have to be connected to either B or C. However, it is also given that there are now no flights between A and C. Hence, the 4 flights that would have been scheduled in the previous case, will now not be scheduled.

Hence, the reduction in the number of flights can be a maximum of 4.

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

## Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video