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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.
| 451. |
If the seven digit number 56x34y4 is divisible by 72, then what is the least value of (x + y)? |
| A. | 8 |
| B. | 12 |
| C. | 5 |
| D. | 14 |
| Answer» D. 14 | |
| 452. |
\(\frac{125}{5^4} \times 5^2 \times \frac{5^7}{3125}= ?\) |
| A. | 12.5 |
| B. | 125 |
| C. | 625 |
| D. | 25 |
| Answer» C. 625 | |
| 453. |
If X6 + 2X5 - 4X4 - 7X3 + 9X2 – 8X – 19 is divided by X + 1, the remainder is |
| A. | 19 |
| B. | 0 |
| C. | -19 |
| D. | 10 |
| Answer» C. -19 | |
| 454. |
A number 576X0 is divisible by 9. Find the numbers that can replace X. |
| A. | 0, 9 |
| B. | 2, 7 |
| C. | 3, 6 |
| D. | 1, 8 |
| Answer» B. 2, 7 | |
| 455. |
If the number x3208 is divisible by 3, what can be the face value of x? |
| A. | 6 |
| B. | 5 |
| C. | 4 |
| D. | 3 |
| Answer» C. 4 | |
| 456. |
\(1-x-x^{n}+x^{n+1}\), where n is a natural number, is divisible by |
| A. | (1 + x)2 |
| B. | (1 - x)2 |
| C. | 1 - 2x - x2 |
| D. | 1 + 2x - x2 |
| Answer» C. 1 - 2x - x2 | |
| 457. |
Let XYZ be a three - digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by |
| A. | 3 |
| B. | 9 |
| C. | 37 |
| D. | (X + Y + Z) |
| Answer» C. 37 | |
| 458. |
Numbers written in the form p/q (where p and q are integers and q≠0) are known as ______.I. Irrational numbersII. Rational number |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» D. Both I and II | |
| 459. |
Find the factor of the following number:5 |
| A. | 25 |
| B. | 15 |
| C. | 1 and 5 |
| D. | all of the above |
| Answer» D. all of the above | |
| 460. |
A group of 1200 persons consists of soldiers and captains. If every 15 soldiers have one captain, then the number of captains is |
| A. | 73 |
| B. | 75 |
| C. | 70 |
| D. | 74 |
| Answer» C. 70 | |
| 461. |
Identify the GCD of the numbers 32, 64 and 256 among the options. |
| A. | 8 |
| B. | 32 |
| C. | 16 |
| D. | 64 |
| Answer» C. 16 | |
| 462. |
Let x be the least 4–digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2800 and 3000, then what is the sum of the digits of x? |
| A. | 16 |
| B. | 12 |
| C. | 13 |
| D. | 15 |
| Answer» B. 12 | |
| 463. |
If x = (4096)7+4 √3, then which of the following equals 64? |
| A. | \(\frac{{{x^{7/2}}}}{{{x^{2\sqrt 3 }}}}\) |
| B. | \(\frac{{{x^{\frac{7}{2}}}}}{{{x^{\frac{4}{{\sqrt 3 }}}}}}\) |
| C. | \(\frac{{{x^{\frac{7}{2}}}}}{{{x^{\frac{4}{{2\sqrt 3 }}}}}}\) |
| D. | \(\frac{{{x^7}}}{{{x^{4\sqrt 3 }}}}\) |
| Answer» B. \(\frac{{{x^{\frac{7}{2}}}}}{{{x^{\frac{4}{{\sqrt 3 }}}}}}\) | |
| 464. |
Let x be the least number which when divided by 15, 20, 25, 30 and 40, the remainders are 11, 16, 21, 26 and 36 respectively. When x is divided by the sum (15 + 20 + 25 + 30 + 40), then the remainder is: |
| A. | 71 |
| B. | 81 |
| C. | 76 |
| D. | 86 |
| Answer» D. 86 | |
| 465. |
A man has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of this cloth? |
| A. | 360 |
| B. | 320 |
| C. | 400 |
| D. | None of these |
| Answer» E. | |
| 466. |
If A = 232, B = 231 + 230 + 229 + … + 20 and C = 315 + 314 + 313 + … + 30, then which of the following option is TRUE? |
| A. | C > B > A |
| B. | C > A > B |
| C. | A > B > C |
| D. | A > C > B |
| Answer» D. A > C > B | |
| 467. |
Find 6 digit number which is completely divisible by 7. |
| A. | 999965 |
| B. | 999954 |
| C. | 999964 |
| D. | 999974 |
| Answer» D. 999974 | |
| 468. |
If r is the remainder when each of 4749, 5601 and 7092 is divided by the greatest possible number d (> 1), then the value of (d + r) will be: |
| A. | 276 |
| B. | 298 |
| C. | 282 |
| D. | 271 |
| Answer» B. 298 | |
| 469. |
HCF of a set of 3 coprime numbers is: |
| A. | Sum of the numbers |
| B. | 1 |
| C. | 3 |
| D. | Product of the numbers |
| Answer» C. 3 | |
| 470. |
If the numbers 23794 and 25273 are divided by a number x such that 50 < x < 100, then the remainder in each case is y. The value of (x – y) is∶ |
| A. | 19 |
| B. | 23 |
| C. | 26 |
| D. | 28 |
| Answer» C. 26 | |
| 471. |
How many numbers are there from 11 to 131 which are divisible by both 5 and 7? |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 5 |
| Answer» C. 2 | |
| 472. |
Consider x and y as two numbers such that x > y. The numbers are also nearest to 10,000 and are divisible by each of 2, 3, 4, 5, 6 and 7. Then x ÷ y equals∶ |
| A. | 23/22 |
| B. | 24/23 |
| C. | 25/24 |
| D. | 26/25 |
| Answer» C. 25/24 | |
| 473. |
Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digits of x is ______. |
| A. | 5 |
| B. | 6 |
| C. | 9 |
| D. | 4 |
| Answer» E. | |
| 474. |
How can 675 mobile phones be shared in an evenly similar manner in the students present in the class? |
| A. | 12 |
| B. | 11 |
| C. | 13 |
| D. | 14 |
| Answer» B. 11 | |
| 475. |
A man saved Rs. 600 in 30 days. The number of days needed by him to save Rs. 1,160 is |
| A. | 66 |
| B. | 72 |
| C. | 58 |
| D. | None of the above |
| Answer» D. None of the above | |
| 476. |
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is: |
| A. | 5 |
| B. | 7 |
| C. | 10 |
| D. | 12 |
| Answer» C. 10 | |
| 477. |
A child is playing with a basket which contains 65 toys. He takes out 25 toys from basket and puts back 18 toys. Then he takes our 22 toys and puts back 17 toys in the basket. Finally he takes out 18 toys from the basket. How many toys are there inside and outside the basket? |
| A. | IN-27 OUT-38 |
| B. | IN-30 OUT-35 |
| C. | IN-35 OUT-30 |
| D. | IN-37 OUT-28 |
| Answer» D. IN-37 OUT-28 | |
| 478. |
If the seven-digit number 54x29y6 (x > y) is divisible by 72, what is the value of (2x + 3y)? |
| A. | 38 |
| B. | 13 |
| C. | 32 |
| D. | 23 |
| Answer» E. | |
| 479. |
Find the value of 16.666... × 1.6666.... |
| A. | 17.777... |
| B. | 27.777... |
| C. | 29.88... |
| D. | 18.8222... |
| Answer» C. 29.88... | |
| 480. |
A number has two digits whose sum is 9. If 27 is added to the number, its digits get interchange. Find the number. |
| A. | 45 |
| B. | 63 |
| C. | 36 |
| D. | 72 |
| Answer» D. 72 | |
| 481. |
Find out the HCF of 38, 35, 39 and 314 |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» B. 3 | |
| 482. |
252 can be expressed as a product of primes as |
| A. | 2 × 2 × 3 × 3 × 7 |
| B. | 2 × 3 × 3 × 3 × 7 |
| C. | 3 × 3 × 3 × 3 × 7 |
| D. | 2 × 2 × 2 × 3 × 7 |
| Answer» B. 2 × 3 × 3 × 3 × 7 | |
| 483. |
If a nine-digit number 389x6378y is divisible by 72, then the value of √(6x + 7y) will be∶ |
| A. | √13 |
| B. | √46 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 484. |
A caterpillar crawls up a pole 75 inches high, starting from the ground. Each day it crawls up 5 inches and each night it slides down 4 inches. When will it first reach the top of the pole? |
| A. | The 70th day |
| B. | The 71st day |
| C. | The 72nd day |
| D. | The 75th day |
| Answer» C. The 72nd day | |
| 485. |
517 + 518 + 519 + 520 is divisible by |
| A. | 7 |
| B. | 9 |
| C. | 11 |
| D. | 13 |
| Answer» E. | |
| 486. |
If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of x + y + z – 5 |
| A. | 5 |
| B. | 9 |
| C. | 15 |
| D. | 20 |
| Answer» C. 15 | |
| 487. |
L.C.M. of two numbers is 12 time their H.C.F. The sum of H.C.F. and L.C.M. is 403. If one of the numbers is 124, then find the other number. |
| A. | 112 |
| B. | 76 |
| C. | 64 |
| D. | 93 |
| Answer» E. | |
| 488. |
Find the HCF of 590, 1062 and 8850. |
| A. | 136 |
| B. | 124 |
| C. | 250 |
| D. | 118 |
| Answer» E. | |
| 489. |
If (x + k) is the HCF of (x2 + 12x + 35) and (x2 + 2x – 35), then what is the value of k? |
| A. | 5 |
| B. | 2 |
| C. | 3 |
| D. | 7 |
| Answer» E. | |
| 490. |
If NTA14 and NTA15 are 5-digit numbers such that their sum is 157229, then N + T + A would be: |
| A. | 15 |
| B. | 21 |
| C. | 25 |
| D. | 72 |
| Answer» C. 25 | |
| 491. |
In which of the following number systems, the addition is closed?I. Natural numbersII. Whole numbersIII. Rational numbersIV Integers |
| A. | III and IV |
| B. | II and III |
| C. | I, III and IV |
| D. | I, II, III and IV |
| Answer» E. | |
| 492. |
How many times the digit 9 occurs in the numbers from 100 to 999. |
| A. | 280 |
| B. | 218 |
| C. | 229 |
| D. | 228 |
| E. | None of the above/More than one of the above |
| Answer» B. 218 | |
| 493. |
If a number is divided by 899, the remainder is 63. If the same number is divided by 29, the remainder be: |
| A. | 4 |
| B. | 10 |
| C. | 2 |
| D. | 5 |
| Answer» E. | |
| 494. |
Convert the decimal number 151.75 to binary |
| A. | 10000111.11 |
| B. | 11010011.01 |
| C. | 00111100.00 |
| D. | 10011101.11 |
| Answer» E. | |
| 495. |
Find the LCM of 60, 120 and 225.A. 360B. 1800C. 600D. 900 |
| A. | A |
| B. | D |
| C. | C |
| D. | B |
| Answer» E. | |
| 496. |
A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder? |
| A. | 9 |
| B. | 27 |
| C. | 36 |
| D. | 45 |
| Answer» E. | |
| 497. |
Identify the HCF of the number 15, 30 and 52 among the options. |
| A. | 15 |
| B. | 30 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 498. |
If L.C.M. of two prime numbers x and y (x > y) is 161, then find the value of 3y - x. |
| A. | -2 |
| B. | -1 |
| C. | 1 |
| D. | 2 |
| Answer» B. -1 | |
| 499. |
Find a number, such that one-third of the number is 5 more than 4. |
| A. | 54 |
| B. | 27 |
| C. | 42 |
| D. | 35 |
| Answer» C. 42 | |
| 500. |
1/8th of 400 is how much less than 2/5th of 200? |
| A. | 30 |
| B. | 40 |
| C. | 60 |
| D. | 70 |
| Answer» B. 40 | |