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.

1101.

Find the missing term (?) in the series2, 6, 12, 20, 30, 42, 56, ?A. 66B. 68C. 72D. 74

A. C
B. A
C. B
D. D
Answer» B. A
1102.

One Terabyte (TB) of memory is equal to

A. 1024 KB
B. 1024 × 1024 KB
C. 1024 × 1024 × 1024 KB
D. 1024 × 1024 × 1024 Bytes
Answer» D. 1024 × 1024 × 1024 Bytes
1103.

If a, b, c and d are 4 whole numbers such that a + b + c = d where a, b, d are all odd numbers,then find c.

A. Also odd
B. 0
C. Can either be odd or even
D. Even
Answer» B. 0
1104.

Find the value of \(\frac{{5\sqrt 3 }}{2} + \sqrt {108}\)

A. \(\frac{{7\sqrt 3 }}{2}\)
B. \(\frac{{17\sqrt 3 }}{2}\)
C. \(\frac{{27\sqrt 3 }}{2}\)
D. \(\frac{{37\sqrt 3 }}{2}\)
Answer» C. \(\frac{{27\sqrt 3 }}{2}\)
1105.

Find the product of those numbers whose LCM is 8249 and HCF is 1.

A. 8549
B. 8449
C. 8349
D. 8249
Answer» E.
1106.

In a class, there are 18 very tall boys. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

A. 6
B. 12
C. 18
D. 21
Answer» C. 18
1107.

Find a rational number whose decimal representation is 2.34.

A. 232/99
B. 26/11
C. 235/101
D. 117/50
Answer» E.
1108.

In a two-digit number, unitary value is same as ______.I. place valueII. face value

A. Only I
B. Only II
C. Neither I nor II
D. Both I and II
Answer» C. Neither I nor II
1109.

A number when divided by three consecutive numbers 9, 11, 13 leaves the remainders 8, 9 and 8 respectively. If the order of divisors is reversed, the remainders will be :

A. 0, 8, 9
B. 0, 1, 6
C. , 9, 8
D. , 8, 8
Answer» C. , 9, 8
1110.

How many numbers will be there between 300 and 500, where 4 comes only one time ?

A. 9
B. 9
C. 10
D. 20
Answer» C. 10
1111.

Which one of the following numbers is divisible by 15 ?

A. 7325
B. 3755
C. 9515
D. 0560
Answer» B. 3755
1112.

The numbers 2272 and 875 are divided by a three-digit numbers N, giving the same remainder. The sum of the digits of N is :

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
1113.

If p,q,r are all real numbers then (p - q)3 + (q - r)3 + (r - p)3 is equal to :

A. p - q) (q - r) (r - p)
B. (p - q) (q - r) (r - p)
Answer» C.
1114.

Which is the greatest 5-digit number exactly divisible by 279 ?

A. 9603
B. 9550
C. 9882
D. one of these
Answer» D. one of these
1115.

When 10025 - 25 is written in decimal notation, the sum of its digits is :

A. 44
B. 45
C. 46
D. 48
Answer» B. 45
1116.

The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and the remainder is 15. What is the smaller number ?

A. 40
B. 70
C. 95
D. 60
Answer» C. 95
1117.

How many 3-digit numbers are completely divisible by 6 ?

A. 49
B. 50
C. 51
D. 66
Answer» C. 51
1118.

The smallest 4-digit number exactly divisible by 7 is :

A. 001
B. 007
C. 101
D. 108
Answer» B. 007
1119.

Let a number of three digits have for its middle digit the sum of the other two digits. Then it is a multiple of :

A. 0
B. 1
C. 9
D. 0
Answer» C. 9
1120.

The number of terms between 11 and 200 which are divisible by 7 but not by 3 are :

A. 8
B. 9
C. 7
D. 8
Answer» B. 9
1121.

The sum of digits of a two-digit number is 12 and the difference between the two-digits of the two-digit number is 6. What is the-digit number ?

A. 9
B. 4
C. 3
D. ther than the given options
E. 5
Answer» B. 4
1122.

The sum of the digits of a natural number (10n - 1) is 4707, where n is a natural number. The value of n is :

A. 77
B. 23
C. 32
D. 04
Answer» C. 32
1123.

If (a2 - b2) ÷ (a + b) = 25, then (a - b) = ?

A. 0
B. 5
C. 25
D. 50
Answer» C. 25
1124.

If a number 774958A96B is divisible by 8 and 9, the respective values of A and B will be :

A. and 8
B. and 8
C. and 0
D. one of these
Answer» D. one of these
1125.

Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347) = ?

A. 47 - 43)
B. 47 + 43)
C. 4743 + 4343)
D. one of these
Answer» C. 4743 + 4343)
1126.

If 11,109,999 is divided by 1111, then what is the remainder ?

A. 098
B. 010
C. 110
D. 188
Answer» D. 188
1127.

A boy multiplies 987 by a certain number and obtains 559981 as his answer. If in the answer both 9's are wrong but the other digits are correct, then the correct answer will be :

A. 53681
B. 55181
C. 55681
D. 56581
Answer» D. 56581
1128.

Given n = 1 + x and x is the product of four consecutive integers. Then which of the following us true ?I. n is an odd integer.II. n is prime.III. n is a perfect square

A. nly I is correct
B. nly III is correct
C. oth I and II are correct
D. oth I and III are correct
Answer» E.
1129.

(46)2- (?)2= 4398 - 3066

A. 6
B. 8
C. 6
D. 2
E. one of these
Answer» C. 6
1130.

The number of prime factors in the expression 610 × 717 × 1127 is equal to :

A. 4
B. 4
C. 1
D. 1
Answer» C. 1
1131.

If n is a natural number and n = $${p_1}^{{x_1}}$$$${p_2}^{{x_2}}$$$${p_3}^{{x_3}}$$where p1, p2, p3 are distinct prime factors, then the number of prime factors for n is :

A. ${x_1} + {x_2} + {x_3}$$
B. ${x_1} \times {x_2} \times {x_3}$$
C. $\left( {{x_1} + 1} \right)\left( {{x_2} + 1} \right)\left( {{x_3} + 1} \right)$$
D. one of these
Answer» C. $\left( {{x_1} + 1} \right)\left( {{x_2} + 1} \right)\left( {{x_3} + 1} \right)$$
1132.

What is the remainder when 461 is divided by 51 ?

A. 0
B. 1
C. 0
D. one of these
Answer» E.
1133.

The sum of the perfect square between 120 and 300 is :

A. 204
B. 024
C. 296
D. 400
Answer» E.
1134.

If p is a prime number greater than 3, then (p2 - 1) is always divisible by :

A. but not 12
B. 2 but not 24
C. 4
D. one of these
Answer» D. one of these
1135.

The numbers 1, 2, 3, 4, ......, 1000 are multiplied together. The number of zeros at the end (on the right) of the product must be :

A. 0
B. 00
C. 11
D. 49
Answer» E.
1136.

A young girl counted in the following way on the fingers of her left hand. She started calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11, and so on. She counted upto 1994. She ended on her

A. humb
B. ndex finger
C. iddle finger
D. ing finger
Answer» C. iddle finger
1137.

The numbers 2, 4, 6, 8 ..... 98, 100 are multiplied together. The number of zeros at the end of the product must be :

A. 0
B. 1
C. 2
D. 3
Answer» D. 3
1138.

$$\frac{{768 \times 768 \times 768 + 232 \times 232 \times 232}}{{768 \times 768 - 768 \times 232 + 232 \times 232}} = ?$$

A. 000
B. 36
C. 00
D. 68
E. one of these
Answer» B. 36
1139.

A 3-digit number 4a3 is added to another 3-digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then, (a + b) is :

A. 0
B. 1
C. 2
D. 5
Answer» B. 1
1140.

136 × 12 × 8 = ?

A. 2066
B. 3046
C. 3064
D. 3066
E. one of these
Answer» F.
1141.

If m and n are integers divisible by 5, which of the following is not necessarily true ?

A. + n is divisible by 10
B. - n is divisible by 5
C. 2- n2is divisible by 25
D. one of these
Answer» B. - n is divisible by 5
1142.

If m and n are natural numbers such that 2m - 2n = 960, what is the value of m ?

A. 0
B. 2
C. 5
D. annot be determined
Answer» B. 2
1143.

111, 111, 111, 111 is divisible by :

A. and 37 only
B. , 11 and 37 only
C. , 11, 37 and 111 only
D. , 11, 37, 111 and 1001
Answer» E.
1144.

In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then the dividend is :

A. 404
B. 648
C. 808
D. 848
Answer» E.
1145.

The value of 52 + 62 + .... + 102 + 202is :

A. 55
B. 60
C. 65
D. 70
Answer» B. 60
1146.

Find the least 6-digit number which is exactly divisible by 349 ?

A. 00163
B. 01063
C. 60063
D. one of these
Answer» B. 01063
1147.

The smallest 6-digit number exactly divisible by 111 is :

A. 11111
B. 10011
C. 00011
D. 10101
E. one of these
Answer» D. 10101
1148.

The difference between the squares of any two consecutive integers is equal to :

A. n even integer
B. ifference of given integers
C. um of given integers
D. roduct of given integers
Answer» D. roduct of given integers
1149.

The least number of five digit is exactly divisible by 88 is :

A. 0032
B. 0132
C. 0088
D. 0023
Answer» B. 0132
1150.

If (12n + 1) is divisible by 13, then n is :

A. only
B. 2 only
C. ny odd integer
D. ny even integer
Answer» D. ny even integer