Quantitative Aptitude – Number Systems – If the product of three consecutive

Quantitative Aptitude – Number Systems

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Number Systems - If the product of three consecutive
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

A) 1777
B) 1785
C) 1875
D) 1877

Answer

Option (D)

Solution

From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,
a (a+1) (a+2) = 15600
The consecutive numbers will be 24, 25 and 26
We have to find,
a^2 + (a+1)^2 + (a+2)^2 = (24)^2 + (25)^2 + (26)^2 = 1877

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

CAT 2017 Questions from Quantitative Aptitude – Number Systems

Quantitative Aptitude – Number Systems – Q1: If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?
Quantitative Aptitude – Number Systems – Q2: The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
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Quantitative Aptitude – Number Systems – If the product of three consecutive
5 (99.62%) 52 votes

Quantitative Aptitude – Number Systems – If a, b, c are three positive integers

Quantitative Aptitude – Number Systems

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Number Systems - If a, b, c are three positive integers
If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?

A) 201
B) 205
C) 207
D) 210

Answer

Option (C)

Solution

From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,
Let us take a = 3x and b = 4x
Also, b = 2y and c = y
4x = 2y => y = 2x
Now, c = 2x
a + b + c = 9x
Since it is a multiple of 9. From the given options we have to find the one that is divisible by 9. 207 satisfies this condition.
Option (C)

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

CAT 2017 Questions from Quantitative Aptitude – Number Systems

Quantitative Aptitude – Number Systems – Q1: If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Quantitative Aptitude – Number Systems – Q2: The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
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Dealing With Factorials
Baisc Idea of Remainders
Cyclicity Of Remainders
Basic Application of Remainder Theorem
Remainders Advanced
Determining the second last digit and the last two digits
Application of LCM (Lowest Common Multiple) in solving Quantitative Aptitude Problems
How to Find Number of Trailing Zeros in a Factorial or Product

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

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Quantitative Aptitude – Number Systems – If a, b, c are three positive integers
5 (100%) 51 votes

Quantitative Aptitude – Number Systems – The numbers 1, 2,…,9 are arranged

Quantitative Aptitude – Number Systems

Question

CAT 2017 - Aftrnoon slot - Quantitative Aptitude - Number Systems - The numbers 1, 2,...,9 are arranged
The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.

If the top left and the top right entries of the grid are 6 and 2, respectively, then the bottom middle entry is

Answer

3

Solution

From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,
The numbers cannot be repeated.
The grid looks like this
Quantitative Aptitude - Number Systems - The numbers 1, 2,...,9 are arranged
We have to find x. On solving, we get
Quantitative Aptitude - Number Systems - The numbers 1, 2,...,9 are arranged
The sum along the diagonals, columns and rows comes as equal.
Answer will be 3

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

CAT 2017 Questions from Quantitative Aptitude – Number Systems

Quantitative Aptitude – Number Systems – Q1: If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Quantitative Aptitude – Number Systems – Q2: If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?
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Divisibility Rules for CAT Quantitative Aptitude Preparation
Factor Theory
Dealing With Factorials
Baisc Idea of Remainders
Cyclicity Of Remainders
Basic Application of Remainder Theorem
Remainders Advanced
Determining the second last digit and the last two digits
Application of LCM (Lowest Common Multiple) in solving Quantitative Aptitude Problems
How to Find Number of Trailing Zeros in a Factorial or Product

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

Know More about Online CAT Course

Quantitative Aptitude – Number Systems – The numbers 1, 2,…,9 are arranged
4.9 (97.69%) 52 votes