Number System MCQs

Question 1

Given that (12 + 22 + 32 + ..... + 202) = 2870, the value of (22 + 42 + 62 + ... + 402 ) is :

Accepted Answer

11480

Answer

2870

Answer

5740

Answer

28700

Question 2

If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit's place and the thousandth's place respectively are :

Accepted Answer

None of these

Answer

0, 6

Answer

5, 1

Answer

5, 4

Question 3

In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ?

Accepted Answer

x + y > z

Answer

y > p

Answer

y + p > x

Answer

Insufficient data

Question 4

(xn - an) is divisible by (x - a)

Accepted Answer

for all values of n

Answer

only for even values of n

Answer

only for odd values of n

Answer

only for prime values of n

Question 5

8 + 88 + 888 + 8888 + 88888 + 888888 = ?

Accepted Answer

987648

Answer

897648

Answer

896748

Answer

986748

Question 6

If a + b + c = 0, (a + b) (b + c) (c + a) equals

Accepted Answer

- abc

Answer

ab (a + b)

Answer

(a + b + c)2

Answer

a2 + b2 + c2

Question 7

If x is a rational number and y is an irrational number, then-

Accepted Answer

x + y is necessarily irrational, but xy can be either rational or irrational

Answer

Both x + y and xy are necessarily rational

Answer

Both x + y and xy are necessarily irrational

Answer

xy is necessarily irrational, but x + y can be either rational or irrational

Question 8

The digit in the unit's place of [(251)98 + (21)29 - (106)100 + (705)35 - 164 + 259] is :

Accepted Answer

4

Answer

1

Answer

5

Answer

6

Question 9

The digits indicated by * in 3422213** so that this number is divisible by 99 are :

Accepted Answer

1, 9

Answer

3, 7

Answer

4, 6

Answer

5, 5