CMAT Maths Puzzle Numerical Ability Number System

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

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CMAT Other Question
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 Out of a group of swans, 72 times the square root of the total number of swans are playing on the shore of the pond. The remaining two swans are inside the pond. Which of the following can be the total number of swans?
Option
(a) 12
(b) 10
(c) 14
(d) 16