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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.
| 1651. |
29 boys are standing in a line such that distance between any two consecutive boys is same. A teacher takes 7 seconds to reach from first boy to 15thboy. How much more time (in seconds) will he take to reach the 22nd boy? |
| A. | 2.5 |
| B. | 3 |
| C. | 3.5 |
| D. | 4 |
| Answer» D. 4 | |
| 1652. |
Given HCF of (16, 100) = 4, what is the LCM of (6, 100)? |
| A. | 400 |
| B. | 398 |
| C. | 440 |
| D. | 300 |
| Answer» E. | |
| 1653. |
If the 5-digit number 538xy is divisible by 3, 7 and 11, then the value of (x2 + y2)is: |
| A. | 25 |
| B. | 10 |
| C. | 17 |
| D. | 13 |
| Answer» E. | |
| 1654. |
A farmer divides the herd of n cows among his four sons in such a way that the first son gets half the herd, the second son gets one-fourth, the third son gets gets 1/5 share and the fourth son gets 7 cows. What is the value of n accordingly? |
| A. | 240 |
| B. | 100 |
| C. | 180 |
| D. | 140 |
| Answer» E. | |
| 1655. |
In an examination, a student is awarded four marks for correct answer and one mark is deducted for a wrong answer. Student attempts 75 questions and secures 125 marks. What is the number of his correct answers ? |
| A. | 35 |
| B. | 40 |
| C. | 42 |
| D. | 48 |
| Answer» C. 42 | |
| 1656. |
If 10-digit number 67127y76x2 is divisible by 88, then the value of (7x – 2y) is: |
| A. | 10 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 1657. |
If 604 _ 6 is divisible by 11, then the integer in the blank space is |
| A. | 1 |
| B. | 3 |
| C. | 7 |
| D. | 5 |
| Answer» E. | |
| 1658. |
If 42m – 8 = 1, then m = _____. |
| A. | 5 |
| B. | 3 |
| C. | 4 |
| D. | 2 |
| Answer» D. 2 | |
| 1659. |
If the sum of two numbers is 9 and the sum of their squares is 41, then their product is equal to: |
| A. | 16 |
| B. | 38 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 1660. |
If x and y are positive real numbers satisfying the system of equations \(\rm x^2 + y\sqrt{xy}=336\) and \(\rm y^2 + x\sqrt{xy} = 112\), then x + y is: |
| A. | \(\sqrt{448}\) |
| B. | \(\sqrt{224}\) |
| C. | 20 |
| D. | 40 |
| Answer» D. 40 | |
| 1661. |
Point A and B represent numbers on a number line as shown below:The distance between points A and B is: |
| A. | 29000 units |
| B. | 84000 units |
| C. | 22 units |
| D. | 22000 units |
| Answer» E. | |
| 1662. |
a, 1, b are in arithmetic progression and 1, a, b are in geometric progression, then a and b are respectively equate to _______ (where a ≠ b). |
| A. | 2, 4 |
| B. | -2, 4 |
| C. | 4, 1 |
| D. | -1, 2 |
| Answer» C. 4, 1 | |
| 1663. |
(N(p-1) – 1) is a multiple of p, if N is prime to p and p is a |
| A. | Prime number |
| B. | Rational number |
| C. | Real number |
| D. | Composite number |
| Answer» B. Rational number | |
| 1664. |
If \(\frac{p}{q} = {\left( {\frac{2}{3}} \right)^3} \div {\left( {\frac{3}{2}} \right)^{ - 3}}\), then the value of \({\left( {\frac{p}{q}} \right)^{ - 10}}\) is equal to |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | None of the above |
| Answer» B. 0 | |
| 1665. |
In a division sum, the quotient is 125, the divisor is 28 and remainder is 13. The dividend is: |
| A. | 3513 |
| B. | 3613 |
| C. | 3216 |
| D. | 3487 |
| Answer» B. 3613 | |
| 1666. |
If x – 2 is a factor of polynomial x3 + 4x2 – 3x – 18, then its other factors are |
| A. | x + 2, x + 3 |
| B. | x – 3, x + 1 |
| C. | x + 3, x + 3 |
| D. | x + 1, x + 2 |
| Answer» D. x + 1, x + 2 | |
| 1667. |
How many two-digit numbers are divisible by 11? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 1 |
| Answer» C. 10 | |
| 1668. |
A vehicle with mileage 15 km per litre contains 2 L of fuel. The vehicle gets some defect as a result of which 5 L of fuel gets wasted per hour when the engine is on. With what minimum speed the vehicle has to move to travel 20 km with the existing amount of fuel, if it travels with a uniform speed ? |
| A. | 100 km per hour |
| B. | 120 km per hour |
| C. | 150 km per hour |
| D. | 200 km per hour |
| Answer» D. 200 km per hour | |
| 1669. |
Instead of dividing a number by 21, a student did the division by 12 and got the answer as 35. What is the correct answer? |
| A. | 26 |
| B. | 15 |
| C. | 20 |
| D. | 25 |
| Answer» D. 25 | |
| 1670. |
Find the value of a, if: Modulus(2a - 3) = 3a + 2 |
| A. | 1/5 |
| B. | 0 |
| C. | -5 |
| D. | -1/5 |
| Answer» B. 0 | |
| 1671. |
How many whole numbers are there between 244 and 332 which are exactly divisible by 7? |
| A. | 15 |
| B. | 23 |
| C. | 8 |
| D. | 13 |
| Answer» E. | |
| 1672. |
How many integers are there between 1 and 100 which have 4 as a digit and also divisible by 4? |
| A. | 7 |
| B. | 11 |
| C. | 12 |
| D. | 13 |
| Answer» B. 11 | |
| 1673. |
If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, find the number. |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 4 |
| Answer» E. | |
| 1674. |
Find the HCF of 2 × 32 × 52, 5 × 3 × 22 and 52 × 3 × 22. |
| A. | 30 |
| B. | 90 |
| C. | 60 |
| D. | 150 |
| Answer» B. 90 | |
| 1675. |
If 56M4 is completely divisible by 4, then what is the value of M? |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | 5 |
| Answer» B. 1 | |
| 1676. |
If x = 3 & y = 4, Find the value of x2 + 3xy + y2 |
| A. | 71 |
| B. | 61 |
| C. | 51 |
| D. | 81 |
| Answer» C. 51 | |
| 1677. |
How many positive factors of 40 are there? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 1678. |
A divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend? |
| A. | 4236 |
| B. | 4306 |
| C. | 4336 |
| D. | 5336 |
| Answer» E. | |
| 1679. |
How many whole numbers are there between 48 and 352 which are exactly divisible by 7? |
| A. | 42 |
| B. | 43 |
| C. | 44 |
| D. | 45 |
| Answer» D. 45 | |
| 1680. |
In which of the following years will have the calendar same as that of 2056? |
| A. | 2084 |
| B. | 2086 |
| C. | 2085 |
| D. | 2087 |
| Answer» B. 2086 | |
| 1681. |
405 sweets were distributed equally among a group of children such that the number of sweets received by each child is one-fifth of the number of children. The number of children in the group is |
| A. | 45 |
| B. | 9 |
| C. | 21 |
| D. | 15 |
| Answer» B. 9 | |
| 1682. |
Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is: |
| A. | 10 |
| B. | 11 |
| C. | 9 |
| D. | 8 |
| Answer» C. 9 | |
| 1683. |
4 bells begin tolling together at the intervals of 20, 25, 30 and 40 seconds respectively. How many times do they toll together in an hour? |
| A. | 5 |
| B. | 7 |
| C. | 6 |
| D. | 4 |
| Answer» C. 6 | |
| 1684. |
\(\frac{1095}{1168}\) when expressed in simplest form is |
| A. | \(\frac{17}{26}\) |
| B. | \(\frac{25 }{26}\) |
| C. | \(\frac{15}{16}\) |
| D. | \(\frac{13}{16}\) |
| Answer» D. \(\frac{13}{16}\) | |
| 1685. |
An examination is being conducted of three subjects Science, English and Mathematics having students 60, 105 and 135 respectively. Sitting capacity of each room is same. Also, each room has students of only one subject. Then the minimum number of required rooms is equal to |
| A. | 15 |
| B. | 20 |
| C. | 25 |
| D. | 30 |
| Answer» C. 25 | |
| 1686. |
If A = 1 - 10 + 3 - 12 + 5 - 14 + 7 + … up to 60 terms, then what is the value of A? |
| A. | -360 |
| B. | -310 |
| C. | -240 |
| D. | -270 |
| Answer» E. | |
| 1687. |
Let x be the nearest smallest number of 100000 which can actually be divided by 2, 3, 4, 5, 6 and 7. What is the quotient when x is divided by the sum (2 + 3 + 4 + 5 + 6 + 7)? |
| A. | 3702 |
| B. | 3711 |
| C. | 3701 |
| D. | 3717 |
| Answer» B. 3711 | |
| 1688. |
Find the number closest to 500 that is divisible by 30, 25 and 45. |
| A. | 226 |
| B. | 450 |
| C. | 320 |
| D. | 252 |
| Answer» C. 320 | |
| 1689. |
Find the value of 7342015 × 9999?A. 73416544985B. 73453222985C. 73412807985D. 73412907985 |
| A. | B |
| B. | A |
| C. | D |
| D. | C |
| Answer» E. | |
| 1690. |
Find the place value of 5 in 2.00589. |
| A. | 5/100 |
| B. | 5 |
| C. | 5/1000 |
| D. | 5/10 |
| Answer» D. 5/10 | |
| 1691. |
How many zeroes are there in product 46 ⨯ 1510? |
| A. | 10 |
| B. | 12 |
| C. | 11 |
| D. | 6 |
| E. | 8 |
| Answer» B. 12 | |
| 1692. |
If a student does the number of incorrect answers as the double of the number of correct answers, then what is the number of correct answers out of 51 questions attempted by the student? |
| A. | 17 |
| B. | 18 |
| C. | 19 |
| D. | 30 |
| Answer» B. 18 | |
| 1693. |
Number of positive integers, which are less than 108 and prime to 108 are ? |
| A. | 15 |
| B. | 18 |
| C. | 17 |
| D. | 36 |
| Answer» E. | |
| 1694. |
A rational number has its denominator greater than its numerator by 6. If the numerator is increased by 4 and the denominator is decreased by 8, the number becomes 5/3. What is the original rational number ? |
| A. | 11/17 |
| B. | 5/17 |
| C. | 7/13 |
| D. | 13/19 |
| Answer» B. 5/17 | |
| 1695. |
If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be: |
| A. | 0 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» B. 4 | |
| 1696. |
If 2x3 + ax2 + bx - 2 leaves the remainders 7 and 0 when divided by (2x - 3) and (x + 2), respectively, then the values of a and b are respectively. |
| A. | 3 ; -3 |
| B. | -2 ; 2 |
| C. | -3 ; 3 |
| D. | 2 ; -2 |
| Answer» B. -2 ; 2 | |
| 1697. |
\(999\frac{998}{999}\times 999 = ?\) |
| A. | 990809 |
| B. | 998996 |
| C. | 999824 |
| D. | 998999 |
| Answer» E. | |
| 1698. |
Computer uses which number system to store data and perform calculations |
| A. | Binary |
| B. | Octal |
| C. | Decimal |
| D. | Hexadecimal |
| Answer» B. Octal | |
| 1699. |
A rational number between 6 and 7 is |
| A. | \(\frac{{12}}{2}\) |
| B. | \(\frac{{14}}{2}\) |
| C. | \(\frac{{13}}{2}\) |
| D. | None of the above |
| Answer» D. None of the above | |
| 1700. |
A shopkeeper multiplied 6245 by 62 instead of 52. How much was his answer greater than the correct answer? |
| A. | 62450 |
| B. | 62455 |
| C. | 60425 |
| D. | 61455 |
| Answer» B. 62455 | |