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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.
| 751. |
Find the missing number in the following number series. 4, 17, 34, 53, 76, ? |
| A. | 105 |
| B. | 85 |
| C. | 95 |
| D. | 103 |
| Answer» B. 85 | |
| 752. |
One-sixth of a number is 53. What will be 57% of that number? |
| A. | 136.74 |
| B. | 149.46 |
| C. | 181.26 |
| D. | 197.16 |
| Answer» D. 197.16 | |
| 753. |
If highest common factor of x2 + px - q and 5x2 - 3px - 15q is (x - 3), then value of p and q will be |
| A. | \(-\dfrac{5}{3}, 4\) |
| B. | \(-\dfrac{5}{3}, -4\) |
| C. | \(\dfrac{5}{3}, 4\) |
| D. | \(4, - \dfrac{3}{5}\) |
| Answer» B. \(-\dfrac{5}{3}, -4\) | |
| 754. |
Let x be the least multiple of 29 which when divided by 20, 21, 22, 24 and 28 then the remainders are 13, 14, 15, 17 and 21 respectively. What is the sum of digits of x? |
| A. | 18 |
| B. | 22 |
| C. | 19 |
| D. | 23 |
| Answer» E. | |
| 755. |
If a six–digit number 3x9z8y is divisible by 7, 11, 13, then the average value of x, y, z is: |
| A. | 23/3 |
| B. | 31/3 |
| C. | 20/3 |
| D. | 8 |
| Answer» D. 8 | |
| 756. |
If the number 732XY is divided by 70, then (X - Y)A. 2B. 5C. 6D. 3 |
| A. | C |
| B. | B |
| C. | D |
| D. | A |
| Answer» E. | |
| 757. |
If N = 23 × 32, then what are the positive factors of N? |
| A. | 5 |
| B. | 8 |
| C. | 12 |
| D. | 20 |
| Answer» D. 20 | |
| 758. |
Find the greatest number of 4 digits which is exactly divisible by 12. |
| A. | 9994 |
| B. | 9999 |
| C. | 9996 |
| D. | 9998 |
| Answer» D. 9998 | |
| 759. |
Find the greatest three digit number which is divisible by 12, 16 and 24. |
| A. | 680 |
| B. | 920 |
| C. | 960 |
| D. | 940 |
| Answer» D. 940 | |
| 760. |
How many perfect cubes are there between 1 and 100000 which are divisible by 7? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 15 |
| Answer» C. 7 | |
| 761. |
A bag contains 600 coins of 25 p denomination and 1200 coins of 50p denomination. If 12% of 25p coins and 24% of the 50 p coins are removed, the percentage of money removed from the bag is nearly |
| A. | 15.6% |
| B. | 17.8% |
| C. | 21.6% |
| D. | 30% |
| Answer» D. 30% | |
| 762. |
\(1\frac{5}{4}\)meter of cloth required to stitch a skirt. For how many skirts can be stitched with 105 \(\frac{3}{4}\)m of cloth? |
| A. | 87 |
| B. | 47 |
| C. | 37 |
| D. | 27 |
| Answer» C. 37 | |
| 763. |
Find the least square number which is exactly divisible by 4, 9 and 14. |
| A. | 1008 |
| B. | 252 |
| C. | 1764 |
| D. | 504 |
| Answer» D. 504 | |
| 764. |
Greatest number among the 250, 340, 430 and 520 is |
| A. | 340 |
| B. | 430 |
| C. | 520 |
| D. | 250 |
| Answer» B. 430 | |
| 765. |
Express 3 ∶ 5 as percent. |
| A. | 35% |
| B. | 60% |
| C. | 8% |
| D. | None of these |
| Answer» C. 8% | |
| 766. |
In a division sum, the divisor is 14 times the quotient and 7 times the remainder. If the remainder is 34, then the dividend is∶ |
| A. | 4063 |
| B. | 4080 |
| C. | 4097 |
| D. | 4114 |
| Answer» C. 4097 | |
| 767. |
If the sum of the digits of any number lying between 100 and 1000 is subtracted from the number, the difference is always divisible by |
| A. | 9 |
| B. | 12 |
| C. | 6 |
| D. | None of the above |
| Answer» B. 12 | |
| 768. |
Find the smallest number that is exactly divisible by each of the numbers 12, 15, 20 and 27. |
| A. | 530 |
| B. | 520 |
| C. | 510 |
| D. | 540 |
| Answer» E. | |
| 769. |
If the polynomial 2x3 + ax2 + 3x – 5 and x3 + x2 – 2x + a leave the same remainder when divided by x – 2, then the value of ‘a’ is_____. |
| A. | 5 |
| B. | 3 |
| C. | -3 |
| D. | -5 |
| Answer» D. -5 | |
| 770. |
Express 486 as a product of powers of prime factors. |
| A. | 53 × 2 |
| B. | 21 × 35 |
| C. | 12 × 53 |
| D. | 35 |
| Answer» C. 12 × 53 | |
| 771. |
Find the HCF of 36/75, 48/50 and 72/30. |
| A. | 144/45 |
| B. | 12/75 |
| C. | 144/150 |
| D. | 12/150 |
| Answer» E. | |
| 772. |
Find the quotient when the smallest 4-digit number divisible by 13 is divided by 8. |
| A. | 126 |
| B. | 127 |
| C. | 125 |
| D. | 128 |
| Answer» D. 128 | |
| 773. |
If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a - b)2 + (a - c)2 + (a - d)2 is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 774. |
If one - fifth of one - fourth of a number is 35, then what is seven - eighth of that number? |
| A. | 612.5 |
| B. | 624.5 |
| C. | 715 |
| D. | 723.5 |
| Answer» B. 624.5 | |
| 775. |
Let x be the greatest 4-digit number which when divided by 4, 5, 6, 7 and 9, the remainder in each case is 1. What is the sum of the digits of x? |
| A. | 19 |
| B. | 18 |
| C. | 21 |
| D. | 16 |
| Answer» B. 18 | |
| 776. |
If the 8-digit number 485x074y is divisible by 72 and the 6-digit number 5z4678 is divisible by 11, then what is the value of (2x + 3y – z)? |
| A. | 18 |
| B. | 15 |
| C. | 12 |
| D. | 20 |
| Answer» B. 15 | |
| 777. |
Pick out the set that forms the factors of 36. |
| A. | (2, 3, 4, 6, 9, 12) |
| B. | (2, 3, 4, 6, 9) |
| C. | (2, 3, 4, 6, 9, 12, 18) |
| D. | (2, 3, 4, 6) |
| Answer» D. (2, 3, 4, 6) | |
| 778. |
A bucket of capacity 2000 mL is to be filled by using containers measuring 200 mL and 300 mL. Which one of the following combinations of containers is not correct for filling the bucket completely by the containers of 200 mL and 300 mL respectively? |
| A. | 1, 6 |
| B. | 4, 4 |
| C. | 7, 2 |
| D. | 6, 3 |
| Answer» E. | |
| 779. |
Find the LCM of 1.05 and 2.1. |
| A. | 2.1 |
| B. | 0.6 |
| C. | 4 |
| D. | 1.25 |
| Answer» B. 0.6 | |
| 780. |
If y is an integer, then (y3 - y) is always multiple of ____. |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 6 |
| Answer» E. | |
| 781. |
In how many ways, 48 small squares of 1 cm × 1 cm can be arranged so that the resulting area is 48 cm2? |
| A. | 4 |
| B. | 5 |
| C. | 2 |
| D. | 6 |
| Answer» C. 2 | |
| 782. |
If x + 2 is a factor of x2 + ax + 8 then a = |
| A. | -2 |
| B. | 2 |
| C. | 8 |
| D. | None of the above |
| Answer» E. | |
| 783. |
In a school, the number of students in Grades 4, 5 and 6 was 215, 258 and 301 respectively. If every grade was divided into sections and every section had the same number of students, what was the minimum number of sections in all in these three classes? |
| A. | 15 |
| B. | 17 |
| C. | 18 |
| D. | 16 |
| Answer» D. 16 | |
| 784. |
If the seven-digit number 64x29y6 (x > y) is divisible by 72, what is the value of (2x – y)? |
| A. | 13 |
| B. | 7 |
| C. | 3 |
| D. | 9 |
| Answer» E. | |
| 785. |
If √21 = 4.58, then what is the simplified value of \(\left( {8\sqrt {\frac{3}{7}} - 3\sqrt {\frac{7}{3}} } \right)\)? |
| A. | 0.474 |
| B. | 0.752 |
| C. | 0.655 |
| D. | 1 |
| Answer» D. 1 | |
| 786. |
Find the LCM of 15, 25 and 125. |
| A. | 5 |
| B. | 125 |
| C. | 300 |
| D. | 375 |
| Answer» E. | |
| 787. |
π is a/an |
| A. | rational number |
| B. | irrational number |
| C. | prime number |
| D. | integer |
| Answer» C. prime number | |
| 788. |
Find the HCF of 6xy2z, 8x2y3z2, 12x3y3z3. |
| A. | 2xyz |
| B. | 4xy2z |
| C. | 2xy2z |
| D. | 3xy2z |
| Answer» D. 3xy2z | |
| 789. |
919K/418 = 22 Where K is representing a numeral; what is ‘K’? |
| A. | 6 |
| B. | 4 |
| C. | 2 |
| D. | 9 |
| Answer» B. 4 | |
| 790. |
If \(\overline {32a} \) is divisible by 9, then the value of ‘a’ is: |
| A. | 3 |
| B. | 6 |
| C. | 9 |
| D. | 4 |
| Answer» E. | |
| 791. |
Find the greatest three digit number which is divisible by 15, 25, 40 and 75. |
| A. | 450 |
| B. | 400 |
| C. | 300 |
| D. | 600 |
| Answer» E. | |
| 792. |
\({(\frac{1}{2})^3} \times {(\frac{1}{2})^3}\) The product of this expression is |
| A. | \((\frac{1}{64})\) |
| B. | \(\frac{{{1^6}}}{4}\) |
| C. | \(\frac{1}{{{4^3}}}\) |
| D. | \((\frac{6}{64})\) |
| Answer» B. \(\frac{{{1^6}}}{4}\) | |
| 793. |
Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder. |
| A. | 366 |
| B. | 634 |
| C. | 384 |
| D. | 364 |
| Answer» E. | |
| 794. |
A 60-page book has n lines per page. If the number of lines were reduced by 3 in each page, the number of pages would have to be increased by 10 to give the same writing space. What is the value of n? |
| A. | 18 |
| B. | 21 |
| C. | 24 |
| D. | 30 |
| Answer» C. 24 | |
| 795. |
If kx3 + 4x2 + 3x - 4 and x3 - 4x + k leave the same remainder when divided by (x - 3), then the value of k is: |
| A. | 0 |
| B. | -1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 796. |
A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94, B and C together earn Rs. 76. Per day the earning of 'C' is: |
| A. | Rs. 34 |
| B. | Rs. 20 |
| C. | Rs. 75 |
| D. | Rs. 56 |
| Answer» C. Rs. 75 | |
| 797. |
If successive natural numbers are written in a row starting from 1, which digit appears in the 200th place? |
| A. | 0 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» B. 3 | |
| 798. |
40 multiplied by the square of a number gives 10 times the cube of the number. Find the number. |
| A. | 8 |
| B. | 2 |
| C. | 4 |
| D. | 16 |
| Answer» D. 16 | |
| 799. |
If Least Common Multiple of 23 and 24 is A, and Highest Common Factor of 23 and 24 is B. then what is the value of A + B? |
| A. | 452 |
| B. | 551 |
| C. | 553 |
| D. | 451 |
| Answer» D. 451 | |
| 800. |
A number consists of two digits whose sum is 7. If 9 is subtracted from the number, the digits are reversed. The number is |
| A. | 43 |
| B. | 52 |
| C. | 70 |
| D. | 61 |
| Answer» B. 52 | |