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.

1451.

For what value of M, 243M is divisible by 4?

A. 2
B. 4
C. 6
D. 2 or 6
Answer» E.
1452.

In an examination, 52% of the candidates failed in English, 42% in Mathematics and 17% in both. The number of candidates who passed in both subjects is -

A. 23%
B. 40%
C. 53%
D. 33%
Answer» B. 40%
1453.

How many times does the number 5 occur in the range of numbers from 1 to 100?A. 21B. 22C. 20D. 19

A. B
B. A
C. C
D. D
Answer» D. D
1454.

Let the sum of the first ‘m’ terms of an Arithmetic Progression be Sm and ‘n’ terms be Sn. if the first term and common difference are 2 and 5, respectively, then find the ratio of Sm and Sn.

A. (m(5m - 1))/(3n(5n - 1))
B. (m(5m - 1))/(2n(5n - 1))
C. (2m(5m - 1))/(n(5n - 1))
D. (m(5m - 1))/(n(5n - 1))
Answer» E.
1455.

Four bulbs light up at the interval of 2, 3, 4 and 5 minutes respectively at some moment. They are lit up together at 8:00 pm. At what time will all bulbs light up together?

A. Night 8:45
B. Night 9:45
C. Night 8:30
D. Night 9:00
Answer» E.
1456.

A number when divided by 72 leaves remainder 10. What will be the remainder when the same number is divided by 9?

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
1457.

If the sum of four consecutive even numbers is 60, which is the smallest number?

A. 10
B. 20
C. 14
D. 12
Answer» E.
1458.

How many numbers are there from 80 to 120 which are divisible by both 7 and 5?

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
1459.

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x – 2y), for the smallest value of y, is:

A. 22
B. 20
C. 9
D. 18
Answer» B. 20
1460.

How many positive factors of 132 are there?

A. 10
B. 12
C. 9
D. 11
Answer» C. 9
1461.

If 65723X is divisible by 8, then what is the value of X?

A. 2
B. 0
C. 4
D. 6
Answer» B. 0
1462.

How many numbers from 11 to 50 are divisible by 7 but NOT by 3?

A. 2
B. 4
C. 5
D. 6
Answer» C. 5
1463.

How much time does the minute hand of a watch take to describe an angle of \(\dfrac{3\pi}{2}\) radian?

A. 30 minutes
B. 45 minutes
C. 15 minutes
D. 20 minutes
Answer» C. 15 minutes
1464.

Find the greatest number that will divide 288, 392 and 504 and so as to leave the same remainder in each case.

A. 12
B. 8
C. 4
D. 6
Answer» C. 4
1465.

If a 10-digit number 75y97405x2 is divisible by 72, then the value of (2x - y), for the greatest value of x, is:

A. 24
B. 21
C. 12
D. 18
Answer» D. 18
1466.

If log2(5 + log3 a) = 3 and log5(4a + 12 + log2 b) = 3, then a + b is equal to

A. 40
B. 67
C. 59
D. 32
Answer» D. 32
1467.

Find the LCM and HCF of 1.75, 5.6 and 7.

A. 24, 0.25
B. 24, 0.35
C. 28, 0.35
D. 28, 0.25
Answer» D. 28, 0.25
1468.

If N = 1 + 11 + 111 + 1111 + …… + 111111111, then what is the sum of the digits of N?

A. 45
B. 18
C. 36
D. 5
Answer» B. 18
1469.

Express \(0.\overline {125}\) in rational form of the number.

A. 125/999
B. 119/993
C. 100/999
D. 113/990
Answer» B. 119/993
1470.

Find the square root of\(\frac{{0.324 \times 0.64 \times 129.6}}{{0.729 \times 1.024 \times 36}}\)

A. 4
B. 3
C. 2
D. 1
Answer» E.
1471.

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.A. 262B. 131C. 65.5D. 393

A. B
B. D
C. C
D. A
Answer» B. D
1472.

A number N is divisible by 20. What will be the remainder when (N + 2)(N + 9) is divided by 20?

A. 14
B. 18
C. 9
D. 6
Answer» C. 9
1473.

If 5 – 5x < 4 – x and 2 – x < 6 – 4x, then x can take which of the following values?

A. 1
B. 2
C. -1
D. -2
Answer» B. 2
1474.

Find the largest number by which when 270, 675 and 1215 are divided, leave equal remainder in each case.A. 45B. 135C. 270D. 75

A. D
B. B
C. C
D. A
Answer» C. C
1475.

Find the LCM of 63 and 140.

A. 63
B. 14
C. 126
D. 1260
Answer» E.
1476.

A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel? (Assume π = 22/7)

A. 17.5 cm
B. 35 cm
C. 70 cm
D. 140 cm
Answer» C. 70 cm
1477.

Find the L.C.M of 4/5, 2/3 and 5/7

A. 25
B. 20
C. 40
D. 30
Answer» C. 40
1478.

If a steel rod of length \(20\frac{3}{{26}}\) is cut out from a rod of length \(56\frac{1}{5}\) then what is the remaining length of the rod?

A. \(36\frac{3}{{130}}\)
B. \(36\frac{7}{{130}}\)
C. \(36\frac{{11}}{{130}}\)
D. \(36\frac{1}{{130}}\)
Answer» D. \(36\frac{1}{{130}}\)
1479.

A number increased by itself and 5 gives 17, the number is _____?

A. 3
B. 6
C. 5
D. 2
Answer» C. 5
1480.

If 7129p465 is divisible by 9, then the value of p is:

A. 2
B. 3
C. 4
D. 0
Answer» B. 3
1481.

All rational numbers are ______ numbers.

A. integer
B. whole
C. irrational
D. real
Answer» E.
1482.

Find the common factors of 24 and 36

A. 5, 1, 2
B. 1, 2, 3, 4, 6, 12
C. 5, 4, 3, 2, 7
D. 1, 3, 9
Answer» C. 5, 4, 3, 2, 7
1483.

If p, p + 4, p + 14 all three numbers are prime. How many different values can 'p' take?

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
1484.

In a question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence. For this to happen the maximum number of candidates is:

A. 10
B. 18
C. 26
D. 32
Answer» E.
1485.

If 169 × 64 = 10816 then 16.9 × 0.064 =?

A. 1.0816
B. 10.816
C. 0.10816
D. 0.010816
Answer» B. 10.816
1486.

If the number x3339 is divisible by 11, what is the face value of x?

A. 2
B. 4
C. 5
D. 3
Answer» D. 3
1487.

A fraction becomes \(\dfrac{7}{8}\). if 5 is added to both the numerator and the denominator but when 3 is added to both the numerator and the denominator it becomes \(\dfrac{6}{7}\). The sum of numerator and denominator is:

A. 18
B. 21
C. 17
D. 20
Answer» E.
1488.

If the 11-digit number 5678x43267y is divisible by 72, then the value of √(5x + 8y) is

A. 7
B. 4
C. 6
D. 8
Answer» D. 8
1489.

If a positive integer 'n' is divided by 7, the remainder is 4. What is the remainder if '5n' is divided by 7?

A. 6
B. 5
C. 3
D. 4
Answer» B. 5
1490.

Give the expression for the following:p is multiplied by 3 and 2 is subtracted from the product

A. p – 3 - 2
B. 2 - 3p
C. 3p - 2
D. (p × 3 × 2) - 2
Answer» D. (p × 3 × 2) - 2
1491.

In a group of 65 people, 40 people like cricket and 10 people like both cricket and tennis. Everyone in the group likes at least one of the two games. How many people like only tennis?

A. 35
B. 60
C. 70
D. 25
Answer» E.
1492.

Find HCF of 16, 48 and 104.

A. 12
B. 16
C. 4
D. 8
Answer» E.
1493.

Find the smallest square number from among the given options, which is divisible by each of 8, 15 and 20.

A. 3600
B. 6400
C. 14400
D. 4900
Answer» B. 6400
1494.

If a 10-digit number 1230x558y2 is divisible by 88, then the value of (5x + 5y) is:

A. 50
B. 40
C. 20
D. 30
Answer» C. 20
1495.

If the numerator of a fraction is increased by 25 percent and the denominator is decreased by 50 percent, then the fraction obtained is 2/5. What is the original fraction?

A. 4/25
B. 6/25
C. 3/25
D. 7/25
Answer» B. 6/25
1496.

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

A. 95
B. 26
C. 96
D. 23
Answer» B. 26
1497.

If the H.C.F. and L.C.M. of two numbers are 21 and 84 respectively and the ratio of numbers is 1:4, then the larger number in these two numbers will be

A. 108
B. 84
C. 48
D. 36
Answer» C. 48
1498.

4 alarm clocks ring together at 5 am. They ring after 7, 8, 11 and 12 seconds respectively. How many times will they ring together again in the next 3 hours?

A. 5
B. 6
C. 3
D. 4
Answer» B. 6
1499.

1313.13 divided by 0.13 is equal to:

A. 101
B. 111
C. 1010
D. 10101
Answer» E.
1500.

Find the value of 9996 × 10004

A. 99999984
B. 99999804
C. 99999914
D. 99999964
Answer» B. 99999804