CMAT Maths Puzzle Numerical Ability Age Problem

The sum of a 2-digit number and the number obtained by reversing the digits is a perfect square. How many such numbers exist?
Option
(a) 2
(b) 4
(c) 6
(d) 8

Read Solution (Total 1)

Option (d)

ab + ba = P.S.
(10a + b) + (10b + a) = P.S
so, 11 (a +b) = P.S.
This will happen only when (a+b) = 11
so, the possible numbers are: 29, 92, 38, 83, 47, 74, 56, 65...........8 numbers.
8 years agoHelpfull: Yes(3) No(4)

CMAT Other Question

Four prime numbers are written in ascending order. The product of the first three is 385 and that of the last three is 1001. Which one is the largest prime number among them?
Option
(a) 7
(b) 11
(c)17
(d) 13 Between 1 to 1000, how many natural numbers are there which when divided by 3, 4 and 5 leave a remainder of 2, 3 and 4 respectively but when divided by 7 leave no remainder?
Option
(a) 1
(b) 2
(c) 3
(d) None of these