# Numbers Questions

Q:

Find the next number in the series 125, 80, 45, 20, ....

 A) 5 B) 15 C) -5 D) 10

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5

72 120128
Q:

(51 + 52 + 53 + .........+100) is equal to

51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

= It is in the form of

= n1 = 100 , n2 = 50

=

=  (5050 - 1275) = 3775

69981
Q:

If the product 4864*9 P 2 is divisible by 12, the value of p:

 A) 1 B) 2 C) 3 D) 4

Explanation:

Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.

97 59190
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.

40 58319
Q:

The sum of all two digit numbers divisible by 5 is

 A) 945 B) 678 C) 439 D) 568

Explanation:

Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.

129 54184
Q:

If

 A) 144 B) 72 C) 36 D) 24

Explanation:

Given a x a = 12

asked to find a x a x a x a =  (a x a) x (a x a)

a4 = a2 x a2

= 12 x 12

= 144.

5 47499
Q:

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

 A) 23 B) 31 C) 29 D) 37

Explanation:

87)13601(156
87
-----
490
435
-----
551
522
-----
29
-----
Required number is 29.

202 47339
Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :

 A) 553681 B) 555181 C) 555681 D) 556581