# Numbers Questions

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.

7 2584
Q:

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

Divisor = $\inline \fn_jvn \left [ \frac{Divided-Remainder}{Quotient} \right ]$

= $\inline \fn_jvn \frac{45\times 46}{2}=75$

2510
Q:

Which natural number is nearest to 8485, which is completely divisible by 75 ?

 A) 8475 B) 8500 C) 8550 D) 8525

Explanation:

On dividing we get

75)8485(113
75
------
98
75
------
235
225
------
10
------
Required number = (8485-10)=8475.

3 2240
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.

8 2220
Q:

If V = 12R / (r + R) , then R =

 A) Vr / (12 - V) B) Vr + (V /12 ) C) V D) V / (r - 12 )