MCQOPTIONS
Saved Bookmarks
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.
| 651. |
If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is |
| A. | an even number and it is not a square of an integer |
| B. | an odd number and it is not a square of an integer |
| C. | square of an even integer |
| D. | square of an odd integer |
| Answer» E. | |
| 652. |
In a 3-digit number, the tens digit is thrice the hundreds digit and the units digit is four times the hundreds digit. Also, the sum of the digits is 16. Find the number. |
| A. | 268 |
| B. | 628 |
| C. | 286 |
| D. | 826 |
| Answer» B. 628 | |
| 653. |
If 103 A + A is a perfect square, then the minimum numbers of digits in A is |
| A. | 3 |
| B. | 4 |
| C. | undetermined |
| D. | 2 |
| Answer» C. undetermined | |
| 654. |
If 52272 = p2 × q3 × r4,Where p, q and r are prime numbers, then the value of (2p + q - r) is |
| A. | 22 |
| B. | 23 |
| C. | 29 |
| D. | 21 |
| Answer» C. 29 | |
| 655. |
1/25 of the students who registered did not appear for the examination, 11/20 of those who appeared passed. If number of registered students is 2000, the number who passed is |
| A. | 1920 |
| B. | 1056 |
| C. | 1020 |
| D. | 864 |
| Answer» C. 1020 | |
| 656. |
If \(x = \frac{{1\; + \;\sqrt 3 }}{2}\) and y = x3, then y satisfies which one of the following equations? |
| A. | 8y2 – 20y – 1 = 0 |
| B. | 8y2 + 20y – 1 = 0 |
| C. | 8y2 + 20y + 1 = 0 |
| D. | 8y2 – 20y + 1 = 0 |
| Answer» B. 8y2 + 20y – 1 = 0 | |
| 657. |
How many numbers are there between 200 to 300 which are perfect cubes? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 658. |
A train starts from Agartala at 6:30 a.m. on Monday and reached Delhi on Thursday at 8:10 a.m. The total duration of time taken by the train from Agartala to Delhi is |
| A. | 73 hours 40 minutes |
| B. | 74 hours 40 minutes |
| C. | 73 hours 20 minutes |
| D. | None of the above |
| Answer» B. 74 hours 40 minutes | |
| 659. |
Find the sum of the prime numbers between 50 and 80.A. 392B. 390C. 463D. 396 |
| A. | B |
| B. | D |
| C. | C |
| D. | A |
| Answer» D. A | |
| 660. |
If a, b, c, x, y, z are the real numbers such that a2 + b2 + c2 = 1, x2 + y2 + z2 = 1, then ax + by + cz |
| A. | Less than or equal to 3 |
| B. | Less than or equal to 1 |
| C. | Greater than or equal to 3 |
| D. | Greater than or equal to 1 |
| Answer» C. Greater than or equal to 3 | |
| 661. |
A gardener planted 1936 saplings in a garden such that there were as many rows of saplings as the columns. The number of rows planted is∶ |
| A. | 47 |
| B. | 44 |
| C. | 48 |
| D. | 42 |
| Answer» C. 48 | |
| 662. |
Find the least number which should be subtracted from 9999 so that the difference is exactly divisible by 16. |
| A. | 15 |
| B. | 12 |
| C. | 14 |
| D. | 13 |
| Answer» B. 12 | |
| 663. |
Find the greatest number that can be formed out of the digits 9, 0, 8, 7, 9. |
| A. | 90987 |
| B. | 98970 |
| C. | 99780 |
| D. | 99870 |
| Answer» E. | |
| 664. |
Find the number of zeroes in 129! |
| A. | 31 |
| B. | 33 |
| C. | 35 |
| D. | 37 |
| Answer» B. 33 | |
| 665. |
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is: |
| A. | 220030 |
| B. | 22030 |
| C. | 1220 |
| D. | 1250 |
| Answer» B. 22030 | |
| 666. |
4 bells ring at an interval of 4, 12, 20 and 25 minutes. If they ring together at 8 a.m. then at what time they will ring together?. |
| A. | 12 noon |
| B. | 1 p.m. |
| C. | 11 a.m. |
| D. | 2 p.m. |
| Answer» C. 11 a.m. | |
| 667. |
Find the largest number which divides 1250 and 1615, leaves the remainder 4 and 5 respectively.A. 13B. 14C. 16D. 18 |
| A. | A |
| B. | D |
| C. | B |
| D. | C |
| Answer» D. C | |
| 668. |
A clock strikes once at 1 o’ clock, twice at 2 o’ clock and thrice at 3 o’ clock, and so on. If it takes 8 seconds to strike at 5 o’ clock, the time taken by it to strike at 10 o’ clock is |
| A. | 14 seconds |
| B. | 16 seconds |
| C. | 18 seconds |
| D. | None of the above |
| Answer» D. None of the above | |
| 669. |
Let y be a whole number between 20 and 36. If y is the product of exactly two distinct prime numbers, then the number of value of y is∶ |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 670. |
A wheel has diameter 84 cm. The number of complete revolutions it will take to cover 792 m is: |
| A. | 300 |
| B. | 350 |
| C. | 330 |
| D. | 320 |
| Answer» B. 350 | |
| 671. |
LCM of 9, 8, 12 is |
| A. | 72 |
| B. | 864 |
| C. | 144 |
| D. | 288 |
| Answer» B. 864 | |
| 672. |
A man spends 2/5 of his salary on house rent, 3/7 of his salary on food and 1/8 of his salary on conveyance. If he has Rs. 1,300 left with him, find his total expenditure on house rent and food. |
| A. | Rs. 23,200 |
| B. | Rs. 23,000 |
| C. | Rs. 25,300 |
| D. | Rs. 24,200 |
| Answer» B. Rs. 23,000 | |
| 673. |
If (?)3/4 = (?)2, what number should replace ‘?’? |
| A. | 4 |
| B. | 6 |
| C. | 1 |
| D. | 2 |
| Answer» B. 6 | |
| 674. |
How many perfect square numbers are there from 150 to 250? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 675. |
If the 5-digit number 457xy is divisible 3, 7 and 11, then what is the value of (2x + 5y)? |
| A. | 48 |
| B. | 21 |
| C. | 17 |
| D. | 46 |
| Answer» E. | |
| 676. |
How many of the following numbers are divisible by 32?192, 1008, 832, 656, 1264, 1822 |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 677. |
How many numbers between 1 to 1000 which are multiples of 6 but not of 18? |
| A. | 111 |
| B. | 110 |
| C. | 112 |
| D. | 100 |
| Answer» B. 110 | |
| 678. |
Find the square root of 23.04. |
| A. | 4.8 |
| B. | 0.42 |
| C. | 48.02 |
| D. | 2.2 |
| Answer» B. 0.42 | |
| 679. |
Let x be the least number which when divided by 10, 12, 14 and 16 leaves the remainders 2, 4, 6 and 8, respectively, but x is divisible by 17. When x is divided by 52, the quotient is: |
| A. | 96 |
| B. | 92 |
| C. | 95 |
| D. | 99 |
| Answer» B. 92 | |
| 680. |
If the product of two numbers is 4941 and their LCM is 81, then their HCF is: |
| A. | 60 |
| B. | 59 |
| C. | 35 |
| D. | 61 |
| Answer» E. | |
| 681. |
How many pairs of twin primes are there between the integers 1 to 100? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» E. | |
| 682. |
Jeeban left his house for the market at 10 hr. 25 min. a.m. He took 1 hr. 40 min. to reach the market and for purchase of materials, he took 2 hr. 30 min. While coming back home he took 2 hr. 10 min. on the way. At what time he arrived back home? |
| A. | 3.25 p.m. |
| B. | 4.45 p.m |
| C. | 5.25 p.m. |
| D. | 6.45 p.m. |
| Answer» C. 5.25 p.m. | |
| 683. |
H. C. F of the largest one digit odd number and the smallest prime number is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 684. |
If the nine-digit number 8175x45y2 is divisible by 72, then find the largest value of y: |
| A. | 4 |
| B. | 8 |
| C. | 6 |
| D. | 9 |
| Answer» E. | |
| 685. |
HCF of two numbers is 11 and LCM is 7700. If one of the number is 275, then find the other number? |
| A. | 279 |
| B. | 308 |
| C. | 283 |
| D. | 318 |
| Answer» C. 283 | |
| 686. |
For which value of k number 345k6 divisible by 3 |
| A. | 1 |
| B. | 4 |
| C. | 6 |
| D. | 2 |
| Answer» D. 2 | |
| 687. |
A number divisible by 2 is called _______. |
| A. | Composite Number |
| B. | Odd Number |
| C. | Prime Number |
| D. | Even Number |
| Answer» E. | |
| 688. |
A school has 180 students. Among them 150 speak English, 100 speak Hindi, some students speak both English and Hindi. How many of them speak English only ? |
| A. | 30 |
| B. | 70 |
| C. | 80 |
| D. | 100 |
| Answer» D. 100 | |
| 689. |
How many square tiles of equal length will be required to cover 100 meters long and 80 meters wide floors in such a way that no part of the tile is wasted? |
| A. | 15 |
| B. | 20 |
| C. | 30 |
| D. | 25 |
| Answer» C. 30 | |
| 690. |
How much is the remainder when Anubha divides 15300 by 16?A. 7B. 1C. 5D. 9 |
| A. | C |
| B. | D |
| C. | A |
| D. | B |
| Answer» E. | |
| 691. |
How many positive factors are there of 360? |
| A. | 24 |
| B. | 28 |
| C. | 18 |
| D. | 30 |
| Answer» B. 28 | |
| 692. |
A number, when divided by 7, leaves the remainder 3. What would be the remainder left when 8 times of the same number is divided by 7? |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 693. |
If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is: |
| A. | 2 |
| B. | 1 |
| C. | -1 |
| D. | 0 |
| Answer» D. 0 | |
| 694. |
Arrange the following fractions in ascending order:-A. 11/17 < 41/63 < 3/7 < 21/29B. 41/63 < 3/7 < 21/29 < 11/17C. 3/7 < 11/17 |
| A. | C |
| B. | A |
| C. | D |
| D. | B |
| Answer» B. A | |
| 695. |
If N = 411 + 412 + 413 + 414, then how many positive factors of N are there? |
| A. | 92 |
| B. | 48 |
| C. | 50 |
| D. | 51 |
| Answer» B. 48 | |
| 696. |
HCF of two numbers is 12. Which one of the following can never be their LCM? |
| A. | 80 |
| B. | 60 |
| C. | 36 |
| D. | 24 |
| Answer» B. 60 | |
| 697. |
Find which of the following are twin Primes. |
| A. | (37, 41) |
| B. | (3 , 7) |
| C. | (43 , 47) |
| D. | (71, 73) |
| Answer» E. | |
| 698. |
If the sum of squares of two numbers is 97, then which one of the following cannot be their product? |
| A. | 64 |
| B. | 48 |
| C. | -32 |
| D. | 16 |
| Answer» B. 48 | |
| 699. |
How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits? |
| A. | 8 |
| B. | 7 |
| C. | 6 |
| D. | 5 |
| Answer» D. 5 | |
| 700. |
It is given that the 10-digit number 55y1725x00 is exactly divisible by 88. What is the value of (y - x)? |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 6 |
| Answer» D. 6 | |