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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.
| 1. |
If y is an integer, then (y3 - y) is always multiple of _________. |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 6 |
| Answer» E. | |
| 2. |
Find the quotient when x2 + x - 72 is divided by x – 8. |
| A. | X - 9 |
| B. | X + 9 |
| C. | X + 8 |
| D. | 2X - 8 |
| Answer» C. X + 8 | |
| 3. |
Find the unit place digit in the expression given below.1! + 2! + 3! + 4! + ....... + 20! |
| A. | 5 |
| B. | 0 |
| C. | 3 |
| D. | 9 |
| Answer» D. 9 | |
| 4. |
Consider the following three sets of numbersA. 2, 5, 9B. 1, 6, 10C. 3, 4, 8Which of the following represents correct ascending order of the averages of three sets A, B and C?Choose the correct answer from the options given below |
| A. | C < A < B |
| B. | B < C < A |
| C. | B < A < C |
| D. | C < B < A |
| Answer» B. B < C < A | |
| 5. |
If the 6-digit number 479xy9 is divisible by each of 7, 11, 13, then (x – y) is equal to- |
| A. | -3 |
| B. | 2 |
| C. | 3 |
| D. | -2 |
| Answer» B. 2 | |
| 6. |
If you have two straight sticks of length 7.5 feet and 3.25 feet, what is the minimum length can you mesaure? |
| A. | 0.05 foot |
| B. | 0.25 foot |
| C. | 1 foot |
| D. | 3.25 foot |
| Answer» C. 1 foot | |
| 7. |
A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds.They beeped together at 10 AM.The immediate next time that they will beep together is _____. |
| A. | 10.42 AM |
| B. | 10.00 PM |
| C. | 10.08 AM |
| D. | 11.00 AM |
| Answer» D. 11.00 AM | |
| 8. |
If the number 687x29 is divisible by 9, then the value of 2x is: |
| A. | 2 |
| B. | 8 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 9. |
Find the LCM of 18, 33 and 37.A. 2442B. 7326C. 814D. 1221 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 10. |
If x = 3 – √2 then find the value of 3x2+ 2x – 4 |
| A. | 20 – √2 |
| B. | 35 + √2 |
| C. | 35 – 20√2 |
| D. | 35 – 2√2 |
| Answer» D. 35 – 2√2 | |
| 11. |
Find the greatest number that will divide 23, 71 and 141 so as to leave the same remainder in each case. |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 4 |
| Answer» B. 3 | |
| 12. |
Find the least number that is exactly divisible by all even numbers lying between 10 and 20. |
| A. | 1008 |
| B. | 5040 |
| C. | 10080 |
| D. | 1080 |
| Answer» B. 5040 | |
| 13. |
78 – [5 + 3 of (25 – 2x10)] = ? |
| A. | 58 |
| B. | 38 |
| C. | 48 |
| D. | 56 |
| Answer» B. 38 | |
| 14. |
Find the least number required to be added to 3105 so that it is exactly divisible by 3, 4, 5 and 6. |
| A. | 15 |
| B. | 12 |
| C. | 25 |
| D. | 10 |
| Answer» B. 12 | |
| 15. |
Given n is an integer, what is the remainder when (6n + 3)2 is divided by 9? |
| A. | 3 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 16. |
Find the LCM of 15, 25 and 29.A. 2335B. 3337C. 2175D. 2375 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 17. |
If 5 divided the integer n, the remainder is 2. What will be remainder if 7n is divided by 5? |
| A. | 3 |
| B. | 4 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 18. |
A rectangular garden has length twice the width. Posts are placed on all sides at equal interval including all corners. If 10 posts are placed along one short side, find how many posts are there in all the four sides. |
| A. | 60 |
| B. | 58 |
| C. | 56 |
| D. | 54 |
| Answer» E. | |
| 19. |
\(0.\overline {32} \; + \;0.5\overline {48} - 0.1\bar 9\) is equal to: |
| A. | \(0.6\overline {17}\) |
| B. | \(0.6\overline {79}\) |
| C. | \(0.6\overline {71}\) |
| D. | \(0.6\overline {51}\) |
| Answer» D. \(0.6\overline {51}\) | |
| 20. |
19541742 is divisible by which of the following? |
| A. | 12 |
| B. | 11 |
| C. | 13 |
| D. | 9 |
| Answer» C. 13 | |
| 21. |
If 2x + 3y = 85 and \(\frac{4x}{5y} = \frac{16}{15}\) then find the value of 2y - x ? |
| A. | 10 |
| B. | 18 |
| C. | 15 |
| D. | 20 |
| Answer» B. 18 | |
| 22. |
800 chocolates were distributed among the students of a class. Each student got twice as many chocolates as the number of students in the class. The number of students in the class was: |
| A. | 20 |
| B. | 35 |
| C. | 30 |
| D. | 25 |
| Answer» B. 35 | |
| 23. |
Find 150% of X, if X is the least number which when divided by 6, 7, 8, 9 and 12 leaves remainders 2, 3, 4, 5 and 8 respectively.A. 750B. 500C. 1000D. 1200 |
| A. | B |
| B. | D |
| C. | A |
| D. | C |
| Answer» D. C | |
| 24. |
If A = {x / x ≤ 10, x ∈ N}, B = {x / x ≤ 10, x ∈ W} , then A - B = ? |
| A. | {0, 1} |
| B. | {0} |
| C. | 0 |
| D. | null set |
| Answer» E. | |
| 25. |
Find the LCM of 8, 10, 15, 16 and 20? |
| A. | 240 |
| B. | 260 |
| C. | 220 |
| D. | 250 |
| Answer» B. 260 | |
| 26. |
103 x 104 = ? |
| A. | 10,712 |
| B. | 10,000 |
| C. | 10,812 |
| D. | 10,512 |
| Answer» B. 10,000 | |
| 27. |
How many distinct natural numbers are the divisors of (30)4 ? |
| A. | 125 |
| B. | 123 |
| C. | 122 |
| D. | 124 |
| Answer» B. 123 | |
| 28. |
If difference between 9 times and 6 times of a number is 27, then find that number? |
| A. | 2 |
| B. | 11 |
| C. | 9 |
| D. | 5 |
| Answer» D. 5 | |
| 29. |
If a 10-digit number 1220x558y2 is divisible by 88, then the value of (x + y) is: |
| A. | 9 |
| B. | 7 |
| C. | 15 |
| D. | 11 |
| Answer» B. 7 | |
| 30. |
If a number is divided by 30 then it leaves 17 as a remainder. What will be the remainder when the same number is divided by 10? |
| A. | 7 |
| B. | 3 |
| C. | 1 |
| D. | 2 |
| Answer» B. 3 | |
| 31. |
If a rod of length \(208\frac{4}{5}\) is cut into equal pieces of length \(23\frac{1}{5}\) then the total number of rods obtained is: |
| A. | 7 |
| B. | 9 |
| C. | 8 |
| D. | 5 |
| Answer» C. 8 | |
| 32. |
Find the least five-digit number which is divided by 12, 18, 21 and 28 leaves the same remainder 1. |
| A. | 11019 |
| B. | 10081 |
| C. | 10059 |
| D. | 10289 |
| Answer» C. 10059 | |
| 33. |
Consider the equation (40)x = (132)y in some bases x and y . Then a possible set of values of x and y are |
| A. | 8 and 12 |
| B. | 12 and 8 |
| C. | 6 and 12 |
| D. | 12 and 6 |
| Answer» B. 12 and 8 | |
| 34. |
A telephone bill costs Rs. 11 for 2 minutes 30 seconds. What is the cost (in rupees) for 3 minutes 20 seconds? (Round up to one decimal) |
| A. | 14.6 |
| B. | 14.5 |
| C. | 14.7 |
| D. | 14.8 |
| Answer» D. 14.8 | |
| 35. |
HCF of two numbers is 11 and their LCM is 693. If one number is 77, find the other number? |
| A. | 89 |
| B. | 99 |
| C. | 94 |
| D. | 92 |
| Answer» C. 94 | |
| 36. |
Find the number of integers between 1 and 250, that are divisible by any of the integer 2, 3 and 7. |
| A. | 179 |
| B. | 182 |
| C. | 170 |
| D. | 185 |
| Answer» B. 182 | |
| 37. |
Find the difference between the place value and face value of the digit 9 in the number 229301. |
| A. | 9292 |
| B. | 8991 |
| C. | 099 |
| D. | 220 |
| Answer» C. 099 | |
| 38. |
In school assembly, students of a class are standing in a line. Ruhi is 19th from both ends. How many students are present in that class? |
| A. | 37 |
| B. | 36 |
| C. | 40 |
| D. | 38 |
| Answer» B. 36 | |
| 39. |
A number is 3/4 greater than 58 times of the reciprocal of the number. What is the number? |
| A. | -8 |
| B. | 12 |
| C. | -12 |
| D. | 8 |
| Answer» E. | |
| 40. |
One litre of water weighs 1 kg. How many cubic millimeters of water will weigh 0.1 gm? |
| A. | 10 |
| B. | 100 |
| C. | 0.1 |
| D. | None of the above |
| Answer» C. 0.1 | |
| 41. |
Q : What is the average of a1, a2, a3, a4 and a5 ?S1 : a1, a2, a3, a4 and a5 are consecutive integers.S2 : a5 = 100 |
| A. | if S1 alone is sufficient to answer Q |
| B. | if S2 alone is sufficient to answer Q. |
| C. | if S1 and S2 together only can answer Q but neither S1 and S2 alone can answer Q. |
| D. | if S1 and S2 together also cannot answer Q and additional information is needed to answer. |
| Answer» D. if S1 and S2 together also cannot answer Q and additional information is needed to answer. | |
| 42. |
Find the product of two numbers such that there LCM is 9797 and HCF is 1. |
| A. | 9797 |
| B. | 9898 |
| C. | 9696 |
| D. | 9595 |
| Answer» B. 9898 | |
| 43. |
Find the least number that is divisible by 12, 18, 21, and 30. |
| A. | 1620 |
| B. | 1260 |
| C. | 1020 |
| D. | 1060 |
| Answer» C. 1020 | |
| 44. |
Least prime number is : |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 45. |
Dividing (x80 + x40 + 5) by (x8 + 1) gives the remainder as ______.A. 5B. 8C. 12D. 13 |
| A. | A |
| B. | B |
| C. | D |
| D. | C |
| Answer» B. B | |
| 46. |
If the product of the numbers is 4725 and their HCF is 15. What will be LCM of these number? |
| A. | 180 |
| B. | 345 |
| C. | 315 |
| D. | 265 |
| Answer» D. 265 | |
| 47. |
42 + 43 + 44 = ? |
| A. | 262 |
| B. | 236 |
| C. | 336 |
| D. | 436 |
| Answer» D. 436 | |
| 48. |
For x > 0, if a variable takes discrete values (x + 4), (x - 3.5), (x - 2.5), (x - 3), (x - 2), (x + 0.5), (x - 0.5), (x + 5), then what is the median? |
| A. | x - 1.25 |
| B. | x - 0.5 |
| C. | x + 0.5 |
| D. | x + 1.25 |
| Answer» B. x - 0.5 | |
| 49. |
Find the value of ‘a’, if x4 – 2x3+ 2x2 + x + a is exactly divisible by x2 + x + 1. |
| A. | -1 |
| B. | 4 |
| C. | 1 |
| D. | -4 |
| Answer» C. 1 | |
| 50. |
How many of the integers between 110 and 120 are prime numbers? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |