# Numerical Aptitude Testing Questions and Answers Home > Numerical Tests > Numerical Aptitude > Numerical Aptitude Questions Which one of the following numbers is exactly divisible by 11?

A. 235641
B. 245642
C. 315624
D. 415624

Explanation: 415624 is exactly divisible by 11. (?) - 19657 - 33994 = 9999

A. 63650
B. 53760
C. 59640
D. 61560
E. None of these

Explanation: 19657+33994=53651

Let x - 53651 = 9999

Then, x = 9999 + 53651 = 63650  (?) + 3699 + 1985 - 2047 = 31111

A. 34748
B. 27474
C. 30154
D. 27574
E. None of these

Explanation: x + 3699 + 1985 - 2047 = 31111

x + 3699 + 1985 = 31111 + 2047

x + 5684 = 33158

x = 33158 - 5684 = 27474. How many 3-digit numbers are completely divisible 6 ?

A. 149
B. 150
C. 151
D. 166

Explanation: 3-digit number divisible by 6 are: 102, 108, 114,... , 996

This is an A.P. in which a = 102, d = 6 and l = 996

Let the number of terms be n. Then tn = 996.

a + (n - 1)d = 996

102 + (n - 1) x 6 = 996

6 x (n - 1) = 894

(n - 1) = 149

n = 150

Number of terms = 150. How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

A. 8
B. 11
C. 12
D. 13

Explanation: Required numbers are 24, 30, 36, 42, ..., 96

This is an A.P. in which a = 24, d = 6 and l = 96

Let the number of terms in it be n.

Then tn = 96a + (n - 1)d = 96

24 + (n - 1) x 6 = 96

(n - 1) x 6 = 72

(n - 1) = 12

n = 13

Required number of numbers = 13.  #### Square and Cubic Conversion

The largest provider of tests on the web. We have thousands of questions covering

numerical and verbal aptitude tests, diagrammatic and logic tests, reasoning tests,

puzzles, general knowledge test questions and GMAT test advice and questions.

No login required. All tests are free. All the tests you need when you need them.