# 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.

9 3784
Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

 A) 2 B) 1 C) 3 D) 7

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ),which must be divisible by 3.
Whe x=2. [(22 + 2) = 24 is divisible by 3] Answer is 2

6 3721
Q:

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

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

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

3457
Q:

The sum of first 45 natural numbers is:

The sum of n natural numbers $\inline \frac{n(n+1)}{2}=\frac{45\times 46}{2}=1035$

3312
Q:

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

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