Explore topic-wise MCQs in Digital Circuits.

This section includes 2251 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Circuits knowledge and support exam preparation. Choose a topic below to get started.

701.

A boy added all natural numbers from 1 to 10, however he added one number twice due to which the sum becomes 58. What is the number which he added twice?

A. 3
B. 4
C. 7
D. 8
Answer» B. 4
702.

How many numbers are there from 50 to 150 which are divisible by both 5 and 7?

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
703.

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

A. 53
B. 49
C. 57
D. 61
Answer» B. 49
704.

How many numbers between 105 to 205 are divisible by 9?

A. 10
B. 11
C. 13
D. 14
Answer» C. 13
705.

0.005832 is the cube of a rational number ______.

A. \(\frac{7}{20}\)
B. \(\frac{9}{50}\)
C. \(\frac{3}{25}\)
D. \(\frac{6}{35}\)
Answer» C. \(\frac{3}{25}\)
706.

If the product of two numbers is 3360 and their LCM is 96, find their HCF.

A. 35
B. 33
C. 34
D. 29
Answer» B. 33
707.

Choose the missing digit ‘x’ from the options given for the number 987x54, so that the number is completely divisible by 6.

A. 5
B. 3
C. 2
D. 1
Answer» C. 2
708.

If a nine-digit number 785x3678y is divisible by 72, then the value of (x - y) is :

A. 0
B. -2
C. -1
D. 2
Answer» E.
709.

How many positive factors of 120 are there?

A. 12
B. 16
C. 24
D. 36
Answer» C. 24
710.

How many positive factors of 112 are there?

A. 9
B. 10
C. 8
D. 7
Answer» C. 8
711.

How many factors of the number 4000 are perfect squares?

A. 7
B. 5
C. 6
D. 4
Answer» D. 4
712.

Find the least number to be added to 231228 to make it exactly divisible by 33.

A. 3
B. 2
C. 4
D. 1
Answer» B. 2
713.

How many natural numbers are there between 1000 and 2000, which when divided by 341 leaves remainder 5?

A. 3
B. 2
C. 4
D. 1
Answer» B. 2
714.

(96 - 11) when divided by 8 would leave a remainder

A. 6
B. 10
C. 2
D. None of these
Answer» B. 10
715.

\(\left( \dfrac{2}{\sqrt 5 + \sqrt 3} + \dfrac{1}{\sqrt 6 - \sqrt 3} + \dfrac{1}{\sqrt 6 + \sqrt 5} \right)\) is equal to:

A. 3√3
B. 2√5
C. \(\dfrac{4\sqrt 6 - 2\sqrt 3}{3}\)
D. 2√6
Answer» D. 2√6
716.

If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct ?

A. x is greater than y
B. (y - x) is greater than 15
C. (y - x) is less than or equal to 15
D. (x + y) is greater than or equal to 65
Answer» D. (x + y) is greater than or equal to 65
717.

How many 3 digit numbers are divisible by 3?

A. 98
B. 300
C. 97
D. 96
Answer» C. 97
718.

Find the difference between the largest 5 - digit number and the smallest 4-digit number.

A. 99,899
B. 99,989
C. 98,999
D. 89,999
Answer» D. 89,999
719.

N is the largest two-digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5?

A. 4
B. 2
C. 0
D. 1
Answer» B. 2
720.

Calculate the difference between the squares of the largest and smallest two - digit prime numbers.A. 9298B. 9892C. 9292D. 9288

A. D
B. C
C. A
D. B
Answer» B. C
721.

If a number is divided by 15, then it leaves 13 as a remainder. What will be the remainder when the same number is divided by 5?

A. 3
B. 2
C. 1
D. 4
Answer» B. 2
722.

If 192 pens cost is Rs. 10, how many pens can be bought for Rs. 5?

A. 48
B. 96
C. 56
D. 72
Answer» C. 56
723.

In which of the following, lengths have been arranged in decreasing order?

A. 8500 mm, 800 cm 8 mm, 80 dm 8 cm, 8 m
B. 80 dm 8 cm, 8500 mm, 8 m, 800 cm 8 mm
C. 8 m, 80 dm 8 cm, 8500 mm, 800 cm 8 mm
D. 8500 mm, 80 dm 8 cm, 800 cm 8 mm, 8 m
Answer» E.
724.

A man was asked to multiply a number by 21 but he multiplied the number by 12, by which resultant was 198 less than the actual value. Find the number?

A. 18
B. 22
C. 32
D. 10
Answer» C. 32
725.

(3/8 + 3/16) = ?

A. \(\frac 9 {16}\)
B. \(\frac 7 {16}\)
C. \(\frac 5 {8}\)
D. \(\frac {11} {18}\)
Answer» B. \(\frac 7 {16}\)
726.

If + means ÷, × means -, - means × and ÷ means +, then 38 + 19 - 16 × 17 ÷ 3 = ?

A. 16
B. 19
C. 18
D. 12
Answer» D. 12
727.

4 hours 4 minutes 4 second = ?

A. 4004 second
B. 14004 second
C. 1444 second
D. 14644 second
Answer» E.
728.

Arrange the following in descending order: \(\sqrt[4]{{5,}}\sqrt[3]{4}\;and\;\sqrt[4]{6}\)

A. \(\sqrt[4]{6} > \sqrt[3]{4} > \sqrt[4]{5}\)
B. \(\sqrt[4]{6} > \sqrt[4]{5} > \sqrt[3]{4}\)
C. \(\sqrt[3]{4} > \sqrt[4]{5} > \sqrt[4]{6}\)
D. \(\sqrt[3]{4} > \sqrt[4]{6} > \sqrt[4]{5}\)
Answer» E.
729.

If x = 2 + √3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2[(1/x) + (1/y) + (1/z)]?

A. 25
B. 22
C. 77
D. 43
Answer» B. 22
730.

A number consists of 2 digits whose sum is 4. If 18 is added to the number, the digits get interchanged. Then the number is

A. 31
B. 22
C. 13
D. none of these
Answer» D. none of these
731.

A number consists of two digits and their sum is 5. If 27 is added to the number, then the digits are reversed. Find the number.

A. 32
B. 23
C. 5
D. 14
Answer» E.
732.

If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?

A. 148
B. 189
C. 194
D. 204
Answer» D. 204
733.

If a number is divided by 3, the remainder will be 2. If the number is added by 5 and then divided by 3, then what will be the remainder?

A. 1
B. 2
C. 0
D. 3
Answer» B. 2
734.

Identify the LCM of the number 28, 16 and 12 among the options.

A. 160
B. 448
C. 336
D. 192
Answer» D. 192
735.

If x and y are real numbers, then the least possible value of 4 (x – 2)2 + (y – 3)2 – 2 (x – 3)2 is:

A. 1
B. -4
C. -8
D. 3
Answer» C. -8
736.

Counting number ‘1’ doesn’t have a predecessor because of which of the following?I. Counting of objects always start from 1II. 1 is the smallest counting number

A. Both I and II
B. Only II
C. Only I
D. Neither I nor II
Answer» B. Only II
737.

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starling at the same point After what time will they again meet at the starting point?

A. 26 minutes and 18 seconds
B. 42 minutes and 36 seconds
C. 45 minutes
D. 46 minutes and 12 seconds
Answer» E.
738.

If 8075 is written as the product of two 2 digit numbers then the sum of these numbers is:

A. 180
B. 46
C. 61
D. 444
Answer» B. 46
739.

Find the remainder, when (37 + 57 + 78 + 75 + 179) is divided by 17

A. 1
B. 2
C. 5
D. 7
Answer» B. 2
740.

If x is added to each of 14, 12, 34 and 30, the numbers so obtained, in this order, are in proportion. What is the value of \(\sqrt {12x + 9}\) ?

A. 9
B. 11
C. 13
D. 8
Answer» B. 11
741.

4 boys visit a garden after every 3, 5, 2 and 6 days, respectively. How many times in a year will they visit the garden on the same day? Consider counting is done from the start of the year.

A. 12
B. 13
C. 11
D. 14
Answer» B. 13
742.

How many positive factors of 2000 are there?

A. 12
B. 18
C. 24
D. 20
Answer» E.
743.

Krishna has some hens and goats. If the total number of animals heads are 81 and total number of animal legs are 234, then the percentage of hens in total animals is:

A. 45%
B. 54%
C. \(55\dfrac{5}{9}\%\)
D. 59%
Answer» D. 59%
744.

If 0 ≤ x ≤ 5 and 5 ≤ y ≤ 10, then the maximum value of \(\left(\dfrac{x}{y}\right)\) will be

A. 1
B. \(\dfrac{1}{2}\)
C. 2
D. 0
Answer» B. \(\dfrac{1}{2}\)
745.

How many numbers are there between 200 and 290 which are divisible by both 3 and 7?

A. 2
B. 3
C. 4
D. 5
Answer» D. 5
746.

On dividing number by 68 we get 269 as quotient and 0 as remainder, on dividing the same number by 67, what will be the remainder ?

A. 1
B. 2
C. 3
D. 5
Answer» B. 2
747.

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

A. 1
B. 2
C. 3
D. 4
Answer» E.
748.

Find the value of {(0.06)2 + (0.12)2 + (0.18)2 + (0.24)2 + (0.30)2} ÷ {(0.02)2 + (0.04)2}.

A. 9.9
B. 99.99
C. 99
D. 999
Answer» D. 999
749.

Five light buttons blink at the interval of 6 s, 7 s, 8 s, 2 s, 3 s respectively. If they start blinking together, then how many times would they have blinked together in an hour?

A. 24
B. 18
C. 21
D. 20
Answer» D. 20
750.

Find the arithmetic mean for the following data:Cost of Pen303520105Number of Pens12345

A. 10
B. 15
C. 225
D. 105
Answer» C. 225