# Numbers Questions

Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

 A) 13 B) 12 C) 11 D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

10 3346
Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

 A) 4 B) 5 C) 6 D) 7

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264   => 4,3,11(/)
396   => 4,3,11(/)
462   => 11,3
792   => 4,3,11(/)
968   => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

9 3287
Q:

Which one of the following cannot be the square of a natural number?

 A) 32761 B) 42437 C) 81225 D) 20164

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

5 3084
Q:

What smallest number of 6 digit is divisible by 111?

Smallest number of 6 digits is 100000

on dividing 100000 by 111 we get 100 as remainder

$\inline&space;\fn_jvn&space;\therefore$ Number to be added = (111 -100) = 11

$\inline&space;\fn_jvn&space;\therefore$ Required Number  = 100011

2995
Q:

On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is

Divisor = $\inline \fn_jvn \left [ \frac{Divided-Remainder}{Quotient} \right ]$
= $\inline \fn_jvn \frac{45\times 46}{2}=75$