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MCQOPTIONS
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.
| 51. |
Find out the LCM of 35, 311, 3 - 11 and 314 _____A. 35B. 311C. 3-11D. 314 |
| A. | D |
| B. | A |
| C. | B |
| D. | C |
| Answer» B. A | |
| 52. |
If a, b and c are positive integers such that \(\dfrac{1}{a+\dfrac{1}{b+\dfrac{1}{c+\dfrac{1}{2}}}} =\dfrac{16}{23}\), then what is the mean of a, b and c? |
| A. | 1 |
| B. | 2 |
| C. | 1.33 |
| D. | 2.33 |
| Answer» C. 1.33 | |
| 53. |
How many two-digit numbers are divisible by 3 but not by 7? |
| A. | 13 |
| B. | 26 |
| C. | 30 |
| D. | 47 |
| Answer» C. 30 | |
| 54. |
If the 7-digit number x468y05 is divisible by 11, then the maximum value of (x + y) is : |
| A. | 1 |
| B. | 10 |
| C. | 18 |
| D. | 12 |
| Answer» E. | |
| 55. |
If the sum of the digits of a three–digit number is subtracted from that number, then it will always be divisible by: |
| A. | 3 only |
| B. | 9 only |
| C. | both 3 and 9 |
| D. | all of 3, 6 and 9 |
| Answer» D. all of 3, 6 and 9 | |
| 56. |
A is the smallest positive integer which when divided by 9 and 12 leaves remainder 8. B is the smallest positive integer which when divided by 9 and 12 leaves remainder 5. Which one of the following is the value of A - B? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» B. 2 | |
| 57. |
Find the HCF of 527, 1020 and 11594: |
| A. | 13 |
| B. | 14 |
| C. | 17 |
| D. | 19 |
| Answer» D. 19 | |
| 58. |
Find the least number which when divided by 25, 40 and 60 leaves as remainder 7 in each case? |
| A. | 609 |
| B. | 607 |
| C. | 593 |
| D. | 1207 |
| Answer» C. 593 | |
| 59. |
A rectangular wheat field has an area of 1682 sq. metres whereas its perimeter is 29a × 3b × 2c metres. If the length and breadth are positive integers, then find the perimeter. (It is known that a, b, c are positive integers.) |
| A. | 174 metres |
| B. | 58 metres |
| C. | 116 metres |
| D. | 87 metres |
| Answer» B. 58 metres | |
| 60. |
A boy added all natural numbers from 1 to 20, however he missed one number due to which the sum becomes 190. What is the number which the boy missed? |
| A. | 5 |
| B. | 10 |
| C. | 15 |
| D. | 20 |
| Answer» E. | |
| 61. |
Find the smallest number which is when divided by 12, 16 and 18, the remainder in each case is 5. |
| A. | 146 |
| B. | 147 |
| C. | 148 |
| D. | 149 |
| Answer» E. | |
| 62. |
Certain 3-digit numbers have the following characteristics:1. All the three digits are different.2. The number is divisible by 7.3. The number on reversing the digits is also divisible by 7.How many such 3-digit numbers are there? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 63. |
Match List I with List IIList IList IIFor two numbers 84 and 96ResultA. HCFI. 672B. LCMII. 8064C. ProductIII. 180D. SumIV. 12Choose the correct answer from the options given below: |
| A. | A - I, B - IV, C - III, D - II |
| B. | A - I, B - IV, C - II, D - III |
| C. | A - II, B - IV, C - I, D - III |
| D. | A - IV, B - I, C - II, D - III |
| Answer» E. | |
| 64. |
If (5.55)x = (0.555)y = 1000, then value of \(\frac{1}{x}- \frac{1}{y}\) is |
| A. | 2/3 |
| B. | 3 |
| C. | 1 |
| D. | 1/3 |
| Answer» E. | |
| 65. |
How many 3-digit numbers divisible by 5, can be formed using the digits 2 3 5 6 7 and 9, without repetition of digits? |
| A. | 216 |
| B. | 20 |
| C. | 120 |
| D. | 24 |
| Answer» C. 120 | |
| 66. |
If x = 111 - - - - 1 (20 digits), y = 333 - - - - 3 (10 digits) and z = 222 - - - - 2 (10 digits), then what is (x – y2)/z equal to? |
| A. | 1/2 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 67. |
If the number x4738 is divisible by 9, what is the face value of x? |
| A. | 6 |
| B. | 4 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 68. |
How many times digit '5' appears in the number from 1 to 100? |
| A. | 20 |
| B. | 21 |
| C. | 19 |
| D. | 18 |
| Answer» B. 21 | |
| 69. |
A computer has a main memory of 960 Kbytes. What is the exact number of bytes contained in this memory? |
| A. | 960 × 8 |
| B. | 960 × 1000 |
| C. | 960 × 1024 |
| D. | 960 × 1024 × 1024 |
| Answer» D. 960 × 1024 × 1024 | |
| 70. |
Dividing a number by 12 leaves the reminder 7 and dividing by 15 leaves the reminder 10. Find out that number? |
| A. | 25 |
| B. | 35 |
| C. | 45 |
| D. | 55 |
| Answer» E. | |
| 71. |
HCF of Rs. 1.20, Rs. 3.40 & Rs. 4.80 is- |
| A. | 80 Paise |
| B. | 60 Paise |
| C. | 40 Paise |
| D. | 20 Paise |
| Answer» E. | |
| 72. |
For what value of P, 626P9 is completely divisible by 9? |
| A. | 1 |
| B. | 0 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 73. |
HCF of 12, 18 and 24 is |
| A. | 24 |
| B. | 12 |
| C. | 6 |
| D. | 2 |
| Answer» D. 2 | |
| 74. |
Find the least square number which is divisible by 4, 8, 2, 6 and 12? |
| A. | 36 |
| B. | 24 |
| C. | 48 |
| D. | 144 |
| Answer» E. | |
| 75. |
Multiplicative inverse of a negative rational number is- |
| A. | a positive rational number |
| B. | a negative rational number |
| C. | 0 |
| D. | 1 |
| Answer» C. 0 | |
| 76. |
Least common multiple of \(\dfrac{2}{3}, \dfrac{3}{5}, \dfrac{4}{7}, \dfrac{9}{13}\) is : |
| A. | \(\dfrac{20}{3}\) |
| B. | \(\dfrac{18}{7}\) |
| C. | 42 |
| D. | 36 |
| Answer» E. | |
| 77. |
Let x be the least number of 4-digits which when divided by 12, 15, 20 and 27 leaves, in each case, a remainder 7. What is the sum of the digits of x? |
| A. | 13 |
| B. | 16 |
| C. | 17 |
| D. | 11 |
| Answer» C. 17 | |
| 78. |
In an archery contest, 65% of the total participants hit the target in the first test itself and 55% of the total participants hit the target in the second test. 20% of the total participants do not hit the target in any test. What percentage of participants hit the target in both tests? |
| A. | 30 |
| B. | 40 |
| C. | 55 |
| D. | 80 |
| Answer» C. 55 | |
| 79. |
If \(\sqrt {15625}\) = 125, then find the value of \(\sqrt {1.5625} +\sqrt {156.25}\). |
| A. | 13.75 |
| B. | 1.375 |
| C. | 137.5 |
| D. | 1375 |
| Answer» B. 1.375 | |
| 80. |
In a race, a competitor has to collect 6 apples which are kept in a straight line on a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart? |
| A. | 40 m |
| B. | 50 m |
| C. | 75 m |
| D. | 150 m |
| Answer» E. | |
| 81. |
If 2p – 5 = p + 7, then what is the value of p? |
| A. | None of the above |
| B. | 12 |
| C. | 10 |
| D. | 13 |
| Answer» C. 10 | |
| 82. |
Four bells ring at 16, 24, 36, 42 minute intervals. If they ring together at 6.00 a.m. after how long would they next ring together? |
| A. | 842 minutes |
| B. | 964 minutes |
| C. | 886 minutes |
| D. | 1008 minutes |
| Answer» E. | |
| 83. |
Find the LCM of: 9, 12, 18 ? |
| A. | 36 |
| B. | 30 |
| C. | 26 |
| D. | 24 |
| Answer» B. 30 | |
| 84. |
Binary system of numbers uses only |
| A. | 1 and 2 |
| B. | 0 and 1 |
| C. | 2 and 3 |
| D. | 3 and 4 |
| Answer» C. 2 and 3 | |
| 85. |
Free notebooks were distributed equally among the children of a class. The number of notebooks each child got was 1/8th of the number of children. Had the number of children been half, each child would have got 16 notebooks. How many notebooks were distributed in total? |
| A. | 62 |
| B. | 126 |
| C. | 254 |
| D. | 512 |
| Answer» E. | |
| 86. |
0.002 × 0.5 = ? |
| A. | 0.0001 |
| B. | 0.001 |
| C. | 0.01 |
| D. | 0.1 |
| Answer» C. 0.01 | |
| 87. |
If the five-digit number 235 xy is divisible by 3, 7 and 11, then what is the value of (3x - 4y)? |
| A. | 9 |
| B. | 5 |
| C. | 8 |
| D. | 10 |
| Answer» E. | |
| 88. |
If 1234A6 is divisible by 18, then the value of A is _________. |
| A. | 2 |
| B. | 1 |
| C. | 9 |
| D. | 7 |
| Answer» B. 1 | |
| 89. |
Find the LCM Of 25/7, 15/28, 20/21. |
| A. | 300/7 |
| B. | 300 |
| C. | 320/23 |
| D. | 320 |
| Answer» B. 300 | |
| 90. |
Find the HCF of 513, 1134 and 1215. |
| A. | 18 |
| B. | 33 |
| C. | 27 |
| D. | 36 |
| Answer» D. 36 | |
| 91. |
How many three digit numbers are divisible by 5? |
| A. | 100 |
| B. | 180 |
| C. | 175 |
| D. | 10 |
| Answer» C. 175 | |
| 92. |
For what values of k, can the quadratic polynomial, kx2 – 8x + k can be factored into real linear factors? |
| A. | 0 ≤ k ≤ 4 |
| B. | – 4 ≤ k ≤ 4 |
| C. | k = 4 |
| D. | k = – 4 |
| Answer» C. k = 4 | |
| 93. |
If 1 + (1/2) + (1/3) + … + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + … + (1/40)? |
| A. | k/2 |
| B. | 2k |
| C. | (k - 1)/2 |
| D. | (k + 1)/2 |
| Answer» D. (k + 1)/2 | |
| 94. |
If log10 6 = 0.7782 and log10 8 = 0.9031, then what is the value of log10 8000 + log10 600? |
| A. | 4.6813 |
| B. | 5.5813 |
| C. | 1.5813 |
| D. | 6.6813 |
| Answer» E. | |
| 95. |
If 4x3 – 2x2 + 5x – 8 is divided by (x – 2), what will be the remainder? |
| A. | 42 |
| B. | 26 |
| C. | 81 |
| D. | 16 |
| Answer» C. 81 | |
| 96. |
If H.C.F. (408, 1032) = 1032x – 408y and x + y = 7, then (x – y) is equal to |
| A. | 3 |
| B. | –3 |
| C. | 2 |
| D. | –2 |
| Answer» C. 2 | |
| 97. |
If A = {62n - 35n - 1: n = 1, 2, 3,...} and B = {35(n-1) : n = 1, 2, 3,...} then which of the following is true? |
| A. | Every member of B is in A |
| B. | Every member of A is in B and at least one member of B is not in A |
| C. | Neither every member of A is in B nor every member of B is in A |
| D. | At least one member of A is not in B |
| Answer» C. Neither every member of A is in B nor every member of B is in A | |
| 98. |
A number is multiplied by 3,003 and then divided by the LCM of 7, 11 and 13 and then divided by itself. Find the result. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 99. |
How many positive factors of 160 are there? |
| A. | 6 |
| B. | 8 |
| C. | 5 |
| D. | 12 |
| Answer» E. | |
| 100. |
Find the LCM of (22 × 32 × 5 × 7), (22 × 3 × 52 × 7) and (2 × 3 × 5 × 7). |
| A. | 7200 |
| B. | 8400 |
| C. | 9000 |
| D. | 6300 |
| Answer» E. | |