Practice MCQ Questions and Answer on Number System

591.

Which of following can never be ending of a perfect square?

(A) 00
(B) 000
(C) 1
(D) 6

592.

The number 534677 is divisible by 777. The difference of divisor and remainder is :

(A) 577
(B) 676
(C) 687
(D) 789

593.

P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ?

(A) 16
(B) 21
(C) 35
(D) 65

594.

All natural numbers and 0 are called the ..... numbers.

(A) rational
(B) integer
(C) whole
(D) prime

595.

The number of prime numbers between 0 and 50 is :

(A) 14
(B) 15
(C) 16
(D) 17

596.

Three numbers are in Arithmetic progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is:

(A) 17
(B) 15
(C) 13
(D) 10

Solution: Let the three number is a - d, a, a + d a is first term, d is common difference a + d + a + a - d = 30 (Given) 3a = 30 a = 10 (a + d)(a)(a - d) = 910 (10 + d)(10)(10 - d) = 91 × 10 (10 + d)(10 - d) = 91 Put d = 3 $(10 + 3) (10 - 3) = 91$ So, d = 3 So, greater number is = a + b = 10 + 3 = 13

597.

7⁶ⁿ - 6⁶ⁿ, where n is an integer > 0, is divisible by :

(A) 13
(B) 127
(C) 559
(D) All the above

598.

The remainder of $\frac{6^{36}}{215} :$

(A) 0
(B) 1
(C) 2
(D) 3

Solution: $\begin{aligned} \frac{6^{36}}{215}, can be written as \\ \frac{{(6^{3})}^{12}}{215} \\ O r, \frac{216^{12}}{215}, [216 on divided by 215, gives remainder 1] \\ \frac{1^{12}}{215} \\ The remainder will be 1 \end{aligned}$

599.

Which one of the following numbers is divisible by 3 ?

(A) 4006020
(B) 2345678
(C) 2876423
(D) 9566003

600.

Which of the following digits will replace the H marks in the following equation ?
9H + H8 + H6 = 230

(A) 3
(B) 4
(C) 5
(D) 9

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Practice MCQ Questions and Answer on Number System

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