Quantitative Aptitude – Arithmetic – Ratios – Suppose, C1, C2, C3, C4, and C5

Quantitative Aptitude – Arithmetic – Ratios

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - Ratios - Suppose, C1, C2, C3, C4, and C5
Suppose, C1, C2, C3, C4, and C5 are five companies.
The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20.
If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is

A) 438 crore
B) 435 crore
C) 348 crore
D) 345 crore

Answer

Option (A)

Solution

As per CAT 2017 – Quantitative Aptitude – Arithmetic – Ratios, we can see that
Profit of C1 = 9x
Profit of C2 = 10x = 18y — (1)
Profit of C3 = 8x
Profit of C4 = 19y
Profit of C1 = 20y
Taking eq(1), we get x = 9y/5
20y = 19 + 9x
Putting value of x and y in the above eq we get, x=9 and y=5
So, Total profit = 9x +10x + 8x + 19y + 20y = 438 crore
Option (A)

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CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Ratios – Ques: A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
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Quantitative Aptitude – Arithmetic – TSD – A man travels by a motor boat

Quantitative Aptitude – Arithmetic – Time, Speed and Distance

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - TSD - A man travels by a motor boat
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is

A) √6 / √2
B) √7 / 2
C) 2√5 / 3
D) 3: 2

Answer

Option (B)

Solution

As per CAT 2017 – Quantitative Aptitude – Arithmetic – Time Speed Distance, we can see that
Total travel time gets reduced by 75%. So, total travel time becomes 1/4th of the original.
So, s’(New speed) = 4s(Original speed)
Speed of boat : Speed of river = x:1
When the speed of boat is normal
Speed Upstream = x-1
Speed Downstream = x+1
Here, the distance is constant. So, average speed can be found out by the harmonic mean of two speeds = 2ab/ (a+b)
Here, average speed will be 2(x^2-1)/2x = (x^2-1)/x
When the speed of boat is doubled
Speed upstream = 2x-1
Speed downstream = 2x+1
Here, the distance is constant. So, average speed can be found out by the harmonic mean of two speeds = 2ab/(a+b)
Here, average speed will be 2(4x^2-1)/4x = (4x^2-1)/2x
Now, we know that
New speed = 4*Original speed
So,
(4x^2-1)/2x = 4(x^2-1)/x
4x^2 – 1 = 8x^2 – 8
4x^2 = 7
x = √7/2
Ratio = x:1 = √7/2
Option (B)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route at a speed of 25 miles per hour
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
>Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Arithmetic – Profit and Loss – If a seller gives a discount of 15%

Quantitative Aptitude – Arithmetic – Profit and Loss

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - Profit and Loss - If a seller gives a discount of 15%
If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?

A) Give a discount of 5% on retail price
B) Give a discount of 2% on retail price
C) Increase the retail price by 2%
D) Sell at retail price

Answer

Option (D)

Solution

CAT 2017 – Quantitative Aptitude – Arithmetic – Profit and Loss
Let Retail Price = MP
Cost Price = CP
When a discount of 15% is given,
[(0.85CP – CP)/CP] *100 = 2
So, 85 * MP = 102 * CP
Let us take SP = xMP
So, [(xMP-CP)/CP] * 100 = 20.
On calculating, we get x = 100
So, we should sell at Retail Price to get a profit of 20%.

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Profit and Loss – Q1: Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q2: The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q3: If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q4: In a market, the price of medium quality mangoes is half that of good mangoes.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Arithmetic – Percentages – Ravi invests 50% of his

Quantitative Aptitude – Arithmetic – Percentages

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - Percentages - Ravi invests 50% of his
Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of hi√√s savings is invested in stocks and the rest goes into Ravi’s savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs 59500, then Ravi’s total monthly savings (in Rs) is

Answer

70000

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Arithmetic – Percentages, we can assume that,
Total amount of savings as ‘s’
Amount kept in FD = 0.5s
Savings left = 0.5s
Amount kept in stocks = (0.3) * (0.5) * s = 0.15s
Amount kept in Bank Account = (0.7) * (0.5) * s = 0.35s
Amount deposited in the bank = 0.5s + 0.35s = 0.85s = 59500. So, s = 70000.
Answer: 70000

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Percentages – Q1: In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period.
Quantitative Aptitude – Arithmetic – Percentages – Q2: Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Quantitative Aptitude – Arithmetic – Percentages – Q3: The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Arithmetic – TSD – A man leaves his home

Quantitative Aptitude – Arithmetic – Time, Speed and Distance

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - TSD - A man leaves his home
A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train’s departure. The distance (in km) from his home to the railway station is

Answer

20

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Arithmetic – Time, Speed and Distnace, we can see that,
Speed in first case: s
Speed in second case: s’ = 5s/4
We know that, time is inversely proportional with speed
Therefore, the time would be 4/5 times the time, i.e., 1/5 less. This one fifth is 20 min. Therefore, the time taken in the first case is 100 min.
The distance = 12*(5/3) = 20 km
Answer: 20

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q1: A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q2: Arun drove from home to his hostel at 60 miles per hour. While returning home he drove halfway along the same route at a speed of 25 miles per hour
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q3: In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
Quantitative Aptitude – Arithmetic – Time, Speed and Distance – Q4 : A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
>Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Algebra – Maxima Minima – An elevator has a weight

Quantitative Aptitude – Algebra – Maxima Minima

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Algebra - Maxima Minima - An elevator has a weight
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg.
What is the maximum possible number of people in the group?

Answer

11

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Algebra – Maxima and Minima, we can see that,
53 + …….. + 57 = 630
Remaining sum of weights = 630 – 53 – 57 = 520
Now, the minimum weight can be 53. So, to find maximum number of people
N(max) = 520/53 = 9.81
So, maximum number of people possible = 9+2 = 11
Answer: 11

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Algebra

Quantitative Aptitude – Algebra – Maxima Minima – Q1: If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
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Quantitative Aptitude – Arithmetic – Time and Work – A person can complete

Quantitative Aptitude – Arithmetic – Time and Work

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Arithmetic - Time and Work - A person can complete
A person can complete a job in 120 days. He works alone on Day 1.
On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
On Day 3, they are joined by another person of equal efficiency.
Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?

Answer

15

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Arithmetic – Time and Work, we can see that,
On Day 1, the person works alone. So, work done on Day 1 = 1/120
Next day, another person joins him, Work done on Day 2 = 2/120
And so on, until the final day
So, sum total of work done = 1/120 + 2/120 +………+ n/120 = 1
(1/120) (1 + 2+3+……+n) = 1
(1/120) [n(n+1)/2] = 1 (Sum of n positive integers)
On solving, we get n = 15.

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Ques: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
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Quantitative Aptitude – Arithmetic – Profit and Loss
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Quantitative Aptitude – Algebra – Arun’s present age in years

Quantitative Aptitude – Algebra – Linear Equations

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Algebra - Arun's present age in years
Arun’s present age in years is 40% of Barun’s. In another few years, Arun’s age will be half of Barun’s. By what percentage will Barun’s age increase during this period?

Answer

20

Solution

After going through CAT 2017 – Quantitative Aptitude – Algebra – Linear Equation, we can assume that
Age of Arun = A and age of Barun = B
Let us assume, A=0.4 B —– (1)
After a few years, A+x = 0.5(B+x) —– (2)
On putting value of A in eq (2), we get x = 0.2B
% increase in the age of B = (0.2B/B) *100 = 20%
Answer: 20%

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

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a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
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