Practice MCQ Questions and Answer on Number System

621.

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is ?

(A) 85
(B) 75
(C) 70
(D) 80

Solution: $\begin{aligned} Let number are x, x + 5, x + 10 \\ So, x + x + 5 + x + 10 = 225 \\ 3 x + 15 = 225 \\ 3 x = 210 \\ x = 70 \\ largest number is 70 + 10 = 80 \end{aligned}$

622.

The rightmost non-zero digit of the number 30²⁷²⁰ is

(A) 1
(B) 3
(C) 7
(D) 9

623.

The total number of 3 digit numbers which have two or more consecutive digits identical is:

(A) 171
(B) 170
(C) 90
(D) 180

624.

If m = - 4, n = - 2, then the value of m³ - 3m² + 3m + 3n + 3n² + n³ is :

(A) - 120
(B) - 124
(C) - 126
(D) - 128

625.

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C (C > - 7) is a constant, then the minimum value of the fraction is:

(A) 5
(B) 1/5
(C) -5
(D) -1/5

Solution: According to the given condition Denominator = 7 + C [C > -7] $\begin{matrix} Denominator = & Greator number & Smaller number \\ (7 + C - 4) & \times & (7 + C - 4 - 2) \end{matrix}$ Equation $= \frac{(3 + C) (1 + C)}{7 + C}$ By putting value according to option C = -2 for minimum value = -1/5

626.

(9⁶ + 1) when divided by 8, would leave a remainder of :

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

627.

1234 + 2345 - 3456 + 4567 = ?

(A) 4590
(B) 4670
(C) 4680
(D) 4690

628.

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

629.

A string of length 221 metre is cut into two parts such that one part is $\frac{9}{4}$ th as long as the rest of the string, then the difference between the larger piece and the shorter piece is :

(A) 58 m
(B) 53 m
(C) 85 m
(D) 76 m

Solution: Let one part of string is x. Now, x + $\frac{9 x}{4}$ = 221 m x = 68 meter and, $\frac{9 x}{4}$ = 153 m Difference between two parts = 153 - 68 = 85m.

630.

The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

(A) 15
(B) 30
(C) 40
(D) 60

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Practice MCQ Questions and Answer on Number System

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