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

January 1st, 2020 by

Quantitative Aptitude - Number Systems - If a, b, c are three positive integers Quantitative Aptitude - Number Systems Question 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 =

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

January 1st, 2020 by

Quantitative Aptitude - Number Systems - The numbers 1, 2,...,9 are arranged Quantitative Aptitude - Number Systems Question 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

# Quantitative Aptitude – Number System – If the sum of squares of two numbers

December 23rd, 2019 by

Quantitative Aptitude – Number System – If the sum of squares of two numbers Slot -2 – Quantitative Aptitude – Number System – If the sum of squares of two numbers is 97 If the sum of squares of two numbers is 97, then which one of the following cannot be their product? a) −32 b) 16 c) 48 d) 64 Answer: d) 64 Solution: let numbers are a and b. Given, a^2+b^2=97 Using A.M.≥G.M (a^2+b^2)/2 ≥ (a^2 b^2 )^(1/2)=ab ab ≤ 97/2 = 48.5 Thus product of numbers can not be greater than 48.5 Option d) 6

# Quantitative Aptitude – Number System – The smallest integer n for which

December 22nd, 2019 by

Quantitative Aptitude – Number System – The smallest integer n for which Slot -2 – Quantitative Aptitude – Number System – The smallest integer n for which The smallest integer n for which 4^n > 17^19 holds, is closest to? a) 33 b) 35 c) 37 d) 39 Answer: d) 39 Solution: Given , 4^n > 17^19 Or  16^(n/2) > 17^19 Now from the given options, the only possible value of n is 39 as for other values n/2 will be less than 19 and 16 < 17. Correct answer d) 39 Other posts related to Qu

# Quantitative Aptitude – Arithmetic – Number System – While multiplying three real numbers

December 21st, 2019 by

Quantitative Aptitude – Arithmetic - Number System – While multiplying three real numbers Slot -1 – Quantitative Aptitude – Arithmetic - Number System – While multiplying three real numbers While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is? Answer: 40 Solution: Let the other two numbers are a & b so 73ab - 37ab = 720 Or 36ab = 720 ab = 20 using