Practice MCQ Questions and Answer on Number System

661.

The sum of three consecutive natural numbers is always divisible by . . . . . . . .?

(A) 3
(B) 9
(C) 15
(D) 21

662.

$\frac{[(888 \times 888 \times 888) - (222 \times 222 \times 222)]}{[(888 \times 888) + (888 \times 222) + (222 \times 222)]} = ?$

(A) 777
(B) 888
(C) 1010
(D) 666

Solution: $\begin{aligned} \frac{[(888 \times 888 \times 888) - (222 \times 222 \times 222)]}{[(888 \times 888) + (888 \times 222) + (222 \times 222)]} \\ = \frac{(888^{3} - 222^{3})}{[888^{2} + (888 \times 222) + 222^{2}]} \\ = 888 - 222 \\ = 666 \end{aligned}$

663.

11 * X = $\frac{693}{9}$

(A) 3
(B) 5
(C) 7
(D) 9

Solution: $\begin{aligned} X = \frac{693}{9 \times 11} \\ X = 7 \end{aligned}$

664.

A number of boys raised Rs. 400 for a famine relief fund, each boy giving as many 25 paise coins as there were boys. The number of boys was -

(A) 40
(B) 16
(C) 20
(D) 100

Solution: $\begin{aligned} Let number of boys = x \\ Number of 25 paise coins = x^{2} \\ According to question, \\ \frac{x^{2}}{4} = 400 \\ x^{2} = 1600 \\ x = 40 \end{aligned}$

665.

The number 1, 3, 5, 7. . . . . 99 and 128 are multiplied together. The number of zeros at the end of the product must be -

(A) 19
(B) 22
(C) 7
(D) Nil

666.

What is the largest 4 digit number that is exactly divisible by 93?

(A) 9961
(B) 9971
(C) 9981
(D) 9951

667.

The solution to the inequality 12x - 66 $⩽$ 6 is :

(A) x $⩽$ 6
(B) 0 $⩽$ x $⩽$ 6
(C) -6 $⩽$ x $⩽$ 6
(D) -6 $⩽$ x $⩽$ 0

Solution: 12x - 66 $⩽$ 6 12x $⩽$ 72 x $⩽$ 6

668.

Which of the following is the smallest fraction ? $\frac{8}{25},$ $\frac{7}{23},$ $\frac{11}{23},$ $\frac{14}{53}$

(A) $\frac{8}{25}$
(B) $\frac{7}{23}$
(C) $\frac{11}{23}$
(D) $\frac{14}{53}$

Solution: $\frac{8}{25}, \frac{7}{23}, \frac{11}{23}, \frac{14}{53}$ (184) , (175) ↑ ↑ $\frac{8}{25}$ ⤩ $\frac{7}{23}$ = $\frac{8}{25}$ > $\frac{7}{23}$ (371) , (322) ↑ ↑ $\frac{7}{23}$ ⤩ $\frac{14}{53}$ = $\frac{7}{23}$ > $\frac{14}{53}$ $So \frac{14}{53} is smallest$

669.

The number of two digit prime numbers which remain prime even inverting the position of its digits is:

(A) 4
(B) 5
(C) 9
(D) 10

670.

If all the numbers from 501 to 700 are written, what is the total number of times the digit 6 appears ?

(A) 138
(B) 139
(C) 140
(D) 141

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Practice MCQ Questions and Answer on Number System

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