# Numbers Questions

Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Number = ( 779 x a) + 47, where "a" is the quotient

= (19 x 41 x a) + (19 x 2) + 9

= 19 x (41a + 2) + 9

= 19 x (New quotient) + 9

$\inline&space;\fn_jvn&space;\therefore$  Required remainder = 9

1894
Q:

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

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

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

1 1739
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 1701
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.

6 1619
Q:

x = y - (50/y), where x and y are both > 0

If the value of y is doubled in the equation above, the value of x will

 A) decrease B) stay the same C) increase four fold D) increase to more than double