Number System MCQs

Question 1

When (7777 + 77) is divided by 78, the remainder is:

Accepted Answer

76

Answer

75

Answer

77

Answer

74

Question 2

What is least possible number when it is divided by 13 leaves 8 and when divided by 7 leaves remainder 6?

Accepted Answer

34

Answer

48

Answer

40

Answer

41

Question 3

If the arithmetic mean of 3a and 4b is greater than 50, and a is twice b, then the smallest possible integer value of a is:

Accepted Answer

21

Answer

20

Answer

18

Answer

19

Question 4

If x is the remainder when 361284 is divided by 5 and y is the remainder when 496 is divided by 6, then what the value of (2x - y)?

Accepted Answer

-2

Answer

-4

Answer

2

Answer

4

Question 5

If (px3 - 8x2 - qx + 1), the expression is completely divisible by the expression (3x2 - 4x + 1). Then what will be the value of p and q respectively?

Accepted Answer

$$\left( {\frac{{33}}{4},\,\frac{5}{4}} \right)$$

Answer

$$\left( {\frac{{21}}{4},\,\frac{{15}}{8}} \right)$$

Answer

$$\left( {6,\,1} \right)$$

Answer

$$\left( {1,\,6} \right)$$

Question 6

The smallest whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of that number is?

Accepted Answer

6

Answer

5

Answer

7

Answer

9

Question 7

For what value of X, 211X will be a perfect square?

Accepted Answer

6

Answer

4

Answer

5

Answer

9

Question 8

If $$oot 3 \of {	ext{N}} $$ lies between 6 and 7, where N is an integer then how many values N can take?

Accepted Answer

126

Answer

125

Answer

127

Answer

128

Question 9

If the sum of all the prime numbers is 'x' and that of all the odd prime numbers is 'y', then what is the value of x - y?

Accepted Answer

2

Answer

$$\infty $$

Answer

1

Answer

0