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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.
| 551. |
A number when divided by 16 leaves a remainder 4. When the square of the number is divided by 16, what will be the remainder? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 0 |
| Answer» E. | |
| 552. |
Find the smallest four-digit number that is divisible by 47. |
| A. | 1200 |
| B. | 1025 |
| C. | 1360 |
| D. | 1034 |
| Answer» E. | |
| 553. |
In a town, 55% people watch news on television, 40% read a newspaper, 25% neither read a newspaper nor watch news on television and 4000 people do both, read a newspaper and watch news on television. Find the population of the town. |
| A. | 22,000 |
| B. | 20,000 |
| C. | 150,000 |
| D. | 18,000 |
| Answer» C. 150,000 | |
| 554. |
Find the unit digit in the given product (4211)102 × (361)52 |
| A. | 3 |
| B. | 1 |
| C. | 4 |
| D. | 7 |
| Answer» C. 4 | |
| 555. |
Let A = {7, 8, 9, 10, 11, 12} and B = {7, 10, 14, 15}. What is the number of elements in (A – B) and (B – A) respectively? |
| A. | 2 and 4 |
| B. | 4 and 2 |
| C. | 2 and 2 |
| D. | 4 and 4 |
| Answer» C. 2 and 2 | |
| 556. |
A prime number contains the digit X at unit’s place. How many such digits of X are possible? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 557. |
How many zeroes are there at the end of the following product?1 × 5 × 10 × 15 × 20 × 30 × 35 × 40 × 45 × 50 × 55 × 60 |
| A. | 10 |
| B. | 12 |
| C. | 14 |
| D. | 15 |
| Answer» B. 12 | |
| 558. |
If the average of four consecutive odd whole numbers A, B, C, D is 42, then what is the product of B and D? |
| A. | 1860 |
| B. | 1890 |
| C. | 1845 |
| D. | 1677 |
| Answer» D. 1677 | |
| 559. |
A printer alloted consecutive integers to all the pages of a book starting with 1. In this process, the digits from 0 to 9 are used 4893 times. Then the total number of pages in that book is |
| A. | 1281 |
| B. | 1224 |
| C. | 1500 |
| D. | 1612 |
| Answer» D. 1612 | |
| 560. |
In a family, father ate 1/4th part of the cake. If he ate 3 times more cake than the cake eaten by each family member, then how many members are there in family? |
| A. | 3 |
| B. | 7 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 561. |
How many pieces of length \(1\frac{3}{4}\) meters can be cut from a roll of ribbon of length 63 meters? |
| A. | 46 |
| B. | 56 |
| C. | 26 |
| D. | 36 |
| Answer» E. | |
| 562. |
M is a 4 - digit number. If the left most digit is removed, then the resulting three digit number is \(\frac{1}{9}th\) of M. How many such M's are possible? |
| A. | 10 |
| B. | 9 |
| C. | 8 |
| D. | 7 |
| Answer» E. | |
| 563. |
How many natural number up to 2001 divisible by 3 or 4 but NOT by 5? |
| A. | 768 |
| B. | 801 |
| C. | 934 |
| D. | 1067 |
| Answer» C. 934 | |
| 564. |
\(\dfrac{3^0 +3^{-1}}{3^{-1}-3^0}\) is equal to |
| A. | 1 |
| B. | -2 |
| C. | -1 |
| D. | 2 |
| Answer» C. -1 | |
| 565. |
If the 6-digit number 479xyz is exactly divisible by 7, 11 and 13, then the product of the digits x, y and z will be: |
| A. | 1001 |
| B. | 794 |
| C. | 252 |
| D. | 479 |
| Answer» D. 479 | |
| 566. |
Find the ones place of square of 562. |
| A. | 6 |
| B. | 4 |
| C. | 5 |
| D. | 1 |
| Answer» B. 4 | |
| 567. |
Find the LCM of 96, 144 and 150. |
| A. | 1440 |
| B. | 3600 |
| C. | 7200 |
| D. | 2400 |
| Answer» D. 2400 | |
| 568. |
Around a circular track of 120 m, P and Q start running simultaneously from the same point in the same direction at 20 m/min and 12 m/min. At how many points will they meet? |
| A. | 2 |
| B. | 1 |
| C. | 4 |
| D. | 3 |
| Answer» B. 1 | |
| 569. |
Find the HCF of 1757, 2259A. 231B. 241C. 251D. 261 |
| A. | D |
| B. | A |
| C. | B |
| D. | C |
| Answer» E. | |
| 570. |
Let XYZ be a 3-digit number. Let S = XYZ + YZX + ZXY. Which of the following statements is/are correct?1. S is always divisible by 3 and (X + Y + Z)2. S is always divisible by 93. S is always divisible by 37Select the correct answer using the code given below: |
| A. | 1 only |
| B. | 2 only |
| C. | 1 and 2 |
| D. | 1 and 3 |
| Answer» E. | |
| 571. |
Find the lowest common multiple of 24,36 and 40. |
| A. | 360 |
| B. | 240 |
| C. | 120 |
| D. | 480 |
| Answer» B. 240 | |
| 572. |
If log1281 = p, then \(3(\frac{4 - p}{4 + p})\)is equal to |
| A. | log28 |
| B. | log416 |
| C. | log68 |
| D. | log616 |
| Answer» D. log616 | |
| 573. |
A person reaches his garden by travelling 2z km. He then travels to his friend’s village located at a distance of 5z km. The total distance travelled by him is |
| A. | 5z |
| B. | 6z |
| C. | 7 |
| D. | 7z |
| Answer» E. | |
| 574. |
If the number 59a44b is divisible by 36, then the maximum value of a + b is: |
| A. | 14 |
| B. | 16 |
| C. | 12 |
| D. | 10 |
| Answer» B. 16 | |
| 575. |
Find the greatest number which on dividing 391 and 318 leaves remainders 7 and 6 respectively.A. 20B. 23C. 24D. 32 |
| A. | C |
| B. | B |
| C. | A |
| D. | D |
| Answer» B. B | |
| 576. |
‘a’ is greater than ‘b’ by 3 and ‘b’ is greater than ‘c’ by 12. If a + b + c = 240, then find the value of a + b. |
| A. | 169 |
| B. | 165 |
| C. | 157 |
| D. | 154 |
| Answer» B. 165 | |
| 577. |
How many pieces of 0.85 meters can be cut from a rod 42.5 meters long |
| A. | 30 |
| B. | 40 |
| C. | 50 |
| D. | 60 |
| Answer» D. 60 | |
| 578. |
Find the first negative term of the below A.P.129, 120, 111, 102, … |
| A. | 15th term |
| B. | 14th term |
| C. | 16th term |
| D. | 13th term |
| Answer» D. 13th term | |
| 579. |
Find the next number in the following series.71, 63, 55, ______? |
| A. | 47 |
| B. | 45 |
| C. | 46 |
| D. | 48 |
| Answer» B. 45 | |
| 580. |
How many numbers from 1 to 1000 are not divisible by 2, 3 and 5? |
| A. | 262 |
| B. | 268 |
| C. | 266 |
| D. | 264 |
| Answer» D. 264 | |
| 581. |
A man spends 2/5th of his salary on food, 3/10th on house rent, and 1/8th on other expenses. What fraction of his salary is still left with him? |
| A. | \(\frac{8}{40}\) |
| B. | \(\frac{6}{40}\) |
| C. | \(\frac{7}{40}\) |
| D. | \(\frac{9}{40}\) |
| Answer» D. \(\frac{9}{40}\) | |
| 582. |
276x1 is divisible by 3. What is the sum of the possible values of x? |
| A. | 18 |
| B. | 15 |
| C. | 12 |
| D. | 21 |
| Answer» C. 12 | |
| 583. |
A number when divided by any of the numbers 4, 5, 6, 7 gives 2 as the remainder. If that number lies between 300 and 500 then what is that number? |
| A. | 446 |
| B. | 422 |
| C. | 486 |
| D. | 362 |
| Answer» C. 486 | |
| 584. |
Five times a positive integer is 3 less than twice its square. Find the integer. |
| A. | 2 |
| B. | 5 |
| C. | 3 |
| D. | 8 |
| Answer» D. 8 | |
| 585. |
How many numbers between 400 and 700 are divisible by 5, 6 and 7? |
| A. | 20 |
| B. | 10 |
| C. | 2 |
| D. | 5 |
| Answer» D. 5 | |
| 586. |
A number when divided by 7 leaves a remainder 4. When the square of the number is divided by 7 the remainder is________. |
| A. | 4 |
| B. | 2 |
| C. | 3 |
| D. | 1 |
| Answer» C. 3 | |
| 587. |
If 2785P3 is divisible by 11, then what will be the digit in place of P? |
| A. | 2 |
| B. | 5 |
| C. | 8 |
| D. | 6 |
| E. | 7 |
| Answer» C. 8 | |
| 588. |
A, B and C are running in same direction around a circular playground and all the three are started from same point. If A, B and C complete one round of running in 42, 68 and 126 seconds respectively, when do they meet again at the starting point? |
| A. | After 72 Minutes 24 Seconds |
| B. | After 70 Minutes 24 Seconds |
| C. | After 71 Minutes 26 Seconds |
| D. | After 71 Minutes 24 Seconds |
| Answer» E. | |
| 589. |
L.C.M. of 6, 9, 12, 18 is ______. |
| A. | 28 |
| B. | 36 |
| C. | 38 |
| D. | 42 |
| Answer» C. 38 | |
| 590. |
In a division sum, the divisor is 18 times the quotient and 9 times the remainder. If the remainder is 26, then the dividend is: |
| A. | 3055 |
| B. | 3072 |
| C. | 3068 |
| D. | 3042 |
| Answer» D. 3042 | |
| 591. |
Let x be the smallest number greater than 600 which gives the remainders 2, 3 and 4, when divided by 5, 6 and 7, respectively. The sum of digits of x is: |
| A. | 14 |
| B. | 13 |
| C. | 15 |
| D. | 16 |
| Answer» D. 16 | |
| 592. |
How many numbers from 500 to 700 start or end in 6? |
| A. | 100 |
| B. | 99 |
| C. | 10 |
| D. | 110 |
| Answer» E. | |
| 593. |
\(\frac{3^0+3^{-1}}{3^{-1}-3^{0}}\) is equal to |
| A. | 1 |
| B. | -2 |
| C. | -1 |
| D. | 2 |
| Answer» C. -1 | |
| 594. |
If x1 = -1 and xm = xm+1 + (m + 1) for every positive integer m, then x100 equals |
| A. | -5120 |
| B. | -5051 |
| C. | -5050 |
| D. | -5151 |
| Answer» D. -5151 | |
| 595. |
How many positive factors of 425 are there? |
| A. | 4 |
| B. | 6 |
| C. | 9 |
| D. | 10 |
| Answer» C. 9 | |
| 596. |
If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0.1 gm? |
| A. | 1 |
| B. | 10 |
| C. | 100 |
| D. | 1000 |
| Answer» D. 1000 | |
| 597. |
A boy saves Rs. 4.65 daily. What is the least number of days in which he will be able to save an exact number of rupees? |
| A. | 10 |
| B. | 20 |
| C. | 21 |
| D. | 25 |
| Answer» C. 21 | |
| 598. |
A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves the remainders 1, 2, 3, 4, 5, 6 and 7 respectively. The number is |
| A. | 1876 |
| B. | 1774 |
| C. | 1679 |
| D. | None of the above |
| Answer» D. None of the above | |
| 599. |
If 5x - 3 = 8, then what is x equal to? |
| A. | \(\frac{3}{{1 \ - \ {{\log }_{10}} \ 2}} \) |
| B. | \(\frac{3}{{1 \ + \ {{\log }_{10}} \ 2} }\) |
| C. | \(\frac{2}{{1\ - \ {{\log }_{10}}\ 2}}\) |
| D. | \(\frac{5}{{1 \ - \ {{\log }_{10}} \ 2}}\) |
| Answer» B. \(\frac{3}{{1 \ + \ {{\log }_{10}} \ 2} }\) | |
| 600. |
Find the LCM of 16, 24, 36 and 54 |
| A. | 432 |
| B. | 443 |
| C. | 448 |
| D. | 423 |
| Answer» B. 443 | |