# Numbers Questions

Q:

What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

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

Explanation:

6)4456(742
42
--------
25
24
-------
16
12
-----
4
------
Required number = (6-4) = 2.

5 6801
Q:

The sum of first 45 natural numbers is:

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

6784
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

7 6569
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.

7 6210
Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

 A) 8 B) 9 C) 10 D) 11

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.

11 5862
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

5799
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.

11 5616
Q:

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

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

Answer & Explanation Answer: A) Vr / (12 - V)

Explanation:

We have to rearrange the equation to make R the subject.

Start by cross multiplying by (r + R); V (r + R) = 12R

Multiply out the bracket Vr + VR = 12R