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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.
| 1701. |
If the seven-digit number 5x634y2 is divisible by 88 such that x ≠ y, then what is the value of (2y – 3x)? |
| A. | 15 |
| B. | 6 |
| C. | 13 |
| D. | 8 |
| Answer» E. | |
| 1702. |
Product of two coprime numbers is 903. Find their LCM. |
| A. | Cannot be determined |
| B. | 903 |
| C. | 301 |
| D. | 39 |
| Answer» C. 301 | |
| 1703. |
If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is: |
| A. | 45 |
| B. | 42 |
| C. | 49 |
| D. | 36 |
| Answer» B. 42 | |
| 1704. |
Factors of the polynomial 2x3 + x2 – 7x – 6 are: |
| A. | x + 1, x – 2 and 2x + 3 |
| B. | x + 1, x + 2 and 2x + 3 |
| C. | x – 1, x + 2 and x + 3 |
| D. | None of these |
| Answer» B. x + 1, x + 2 and 2x + 3 | |
| 1705. |
In a digital calculator, the digits 2, 5, 8 and 4 are not working. If it is a-6-digit calculator, what can be the maximum difference between 2 numbers (both the numbers are > 0 and are formed without repetition of any digit) using this calculator? |
| A. | 976310 |
| B. | 872631 |
| C. | 772631 |
| D. | 171631 |
| Answer» C. 772631 | |
| 1706. |
(49)15 - 1 is completely divisible by which number?i. 50ii. 48iii. 29iv. 8 |
| A. | ii and iv |
| B. | iii and iv |
| C. | i and iii |
| D. | i and ii |
| Answer» B. iii and iv | |
| 1707. |
On the scale of a map, 0.6 cm represents 5.4 km. If the distance between two points on the map is 35 cm, then the actual distance is ______. |
| A. | 900 km |
| B. | 315 km |
| C. | 600 km |
| D. | 250 km |
| Answer» C. 600 km | |
| 1708. |
Deep and Rakesh have a total of 160 stamps. Deep has 10 more stamps than Rakesh. How many stamps does Deep have? |
| A. | 95 |
| B. | 100 |
| C. | 85 |
| D. | 75 |
| Answer» D. 75 | |
| 1709. |
Given that the polynomial (x2 + ax + b) leaves the same remainder when divided by (x - 1) or (x + 1). What are the values of a and b respectively? |
| A. | 4 and 0 |
| B. | 0 and 3 |
| C. | 3 and 0 |
| D. | 0 and any integer |
| Answer» E. | |
| 1710. |
If 10n divides 623 × 759 × 1052, then what is the largest value of n? |
| A. | 20 |
| B. | 22 |
| C. | 23 |
| D. | 28 |
| Answer» B. 22 | |
| 1711. |
Calculate the total number of prime factors in the expression (4)11 × (5)5 × (3)2 × (13)2. |
| A. | 30 |
| B. | 31 |
| C. | 33 |
| D. | 32 |
| Answer» C. 33 | |
| 1712. |
If x = 3, y = 5 and z = x + y, then which of the following is true? |
| A. | (x + y) × z = 16 |
| B. | x + y + z = 13 |
| C. | y + z – x = 10 |
| D. | z – y – x = 5 |
| Answer» D. z – y – x = 5 | |
| 1713. |
p and q are positive integers and \(\frac{p}{q}+\frac{q}{p}=3\)then \(\frac{p^2}{q^2} + \frac{q^2}{p^2} =\) |
| A. | 7 |
| B. | 3 |
| C. | 9 |
| D. | 11 |
| Answer» B. 3 | |
| 1714. |
If f1 (x) = x2 + 11x + n and f2 (x) = x, then the largest positive integer n for which the equation f1 (x) = f2 (x) has two distinct real roots, is? |
| A. | 24 |
| B. | 26 |
| C. | 28 |
| D. | 30 |
| Answer» B. 26 | |
| 1715. |
If the seven-digit number 35345xy is divisible by 40, then the least value of (4x + 5y) is: |
| A. | 9 |
| B. | 7 |
| C. | 8 |
| D. | 10 |
| Answer» D. 10 | |
| 1716. |
A number 35786X625 is completely divisible by 9, find the smallest whole digit number in the place of ‘X’. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 1717. |
210102 can be divided exactly by∶ |
| A. | 7 |
| B. | 3 |
| C. | 4 |
| D. | 8 |
| Answer» C. 4 | |
| 1718. |
A man fills a basket with eggs in such a way that the number of eggs on each successive day is the same as the number already present in the basket. This way the basket gets completely filled in 24 days. After how many days the basket was 1/4th filled? |
| A. | 6 |
| B. | 12 |
| C. | 17 |
| D. | 22 |
| Answer» E. | |
| 1719. |
Find the highest common factor of 506 and 782. |
| A. | 29 |
| B. | 34 |
| C. | 46 |
| D. | 22 |
| Answer» D. 22 | |
| 1720. |
An irrational number between 2 and 2.5 is _____. |
| A. | \(+ \sqrt {22.5}\) |
| B. | \(+ \sqrt 5\) |
| C. | \(+ \sqrt {15.5}\) |
| D. | \(+ \sqrt {10}\) |
| Answer» C. \(+ \sqrt {15.5}\) | |
| 1721. |
How many multiples of both 3 or 4 are there from 1 to 100? |
| A. | 55 |
| B. | 50 |
| C. | 58 |
| D. | 33 |
| Answer» C. 58 | |
| 1722. |
If a 10-digit number 46789x531y is divisible by 72, then the value of (2x + 5y), for the largest value of x is: |
| A. | 38 |
| B. | 28 |
| C. | 10 |
| D. | 16 |
| Answer» C. 10 | |
| 1723. |
A two-digit number is 9 more than four times of the number obtained by interchanging its digits. If the product of digits in the two-digit number is 8, then what is the number? |
| A. | 81 |
| B. | 42 |
| C. | 24 |
| D. | 18 |
| Answer» B. 42 | |
| 1724. |
710 - 510 is divisible by |
| A. | 5 |
| B. | 7 |
| C. | 10 |
| D. | 11 |
| Answer» E. | |
| 1725. |
If H is the harmonic mean of P and Q, then the value of H/P + H/Q is |
| A. | 1 |
| B. | 2 |
| C. | \(\frac{{P + Q}}{{PQ}}\) |
| D. | \(\frac{{PQ}}{{P+Q}}\) |
| Answer» C. \(\frac{{P + Q}}{{PQ}}\) | |
| 1726. |
Find the product of the sum of digits of the smallest 4-digit number divisible by 11 and the sum of the digits of smallest 4-digit number divisible by 13. |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 1727. |
Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34 |
| A. | 32 |
| B. | 30 |
| C. | 15 |
| D. | 28 |
| Answer» B. 30 | |
| 1728. |
If the product of two numbers is 4725 and their HCF is 15. What will be LCM of these numbers? |
| A. | 315 |
| B. | 180 |
| C. | 345 |
| D. | 265 |
| Answer» B. 180 | |
| 1729. |
Number of credit cards held by an individual can be treated as : |
| A. | Qualitative data |
| B. | Discrete data |
| C. | Categorical data |
| D. | None of the above |
| Answer» C. Categorical data | |
| 1730. |
If LCM of two numbers is 231, HCF of two numbers is 11 and one number is 77, then find the other number. |
| A. | 57 |
| B. | 37 |
| C. | 33 |
| D. | 47 |
| Answer» D. 47 | |
| 1731. |
If the six digit number 4x573y is divisible by 72 then the value of (x + y) is: |
| A. | 6 |
| B. | 8 |
| C. | 4 |
| D. | 9 |
| Answer» C. 4 | |
| 1732. |
Mrs. Sharma bought 7.35 m of fabric for her elder daughter, 6.75 m for the younger daughter, 8.57 m for her husband, and 7.83 m for herself. How much dress material (in m) did she bought in total? |
| A. | 29.7 |
| B. | 30.5 |
| C. | 27 |
| D. | 32.5 |
| Answer» C. 27 | |
| 1733. |
Find the remainder when 3215 is divided by 43 ? |
| A. | 35 |
| B. | 30 |
| C. | 28 |
| D. | 33 |
| Answer» D. 33 | |
| 1734. |
If A = 23 x 54 and B = 22 x 52 then what is the value of A x B? |
| A. | 200000 |
| B. | 500000 |
| C. | 40000 |
| D. | 800000 |
| Answer» C. 40000 | |
| 1735. |
Let x be the least number which when divided by 12, 15, 18, 20 and 27, the remainder in each case is 2, but x is divisible by 23. If x is divided by the sum of its digits then the quotient is: |
| A. | 196 |
| B. | 149 |
| C. | 193 |
| D. | 199 |
| Answer» B. 149 | |
| 1736. |
Find the square root of (272)2 - (128)2: |
| A. | 200 |
| B. | 240 |
| C. | 256 |
| D. | 144 |
| Answer» C. 256 | |
| 1737. |
\(\frac{5}{0}\) is a ______ |
| A. | positive rational number |
| B. | neither positive nor negative rational number |
| C. | negative rational number |
| D. | either positive or negative rational number |
| Answer» C. negative rational number | |
| 1738. |
If the Standard deviation of a distribution is 9, what is the value of variance?A. 18B. 27C. 81D. 36 |
| A. | A |
| B. | B |
| C. | D |
| D. | C |
| Answer» E. | |
| 1739. |
A vessel, full of water, weighs 16.5 Kg. When the vessel is 1/4 full, it weighs 5.25 Kg. The weight of the empty vessel (in Kg) is |
| A. | 1.125 |
| B. | 1.5 |
| C. | 4.5 |
| D. | 3 |
| Answer» C. 4.5 | |
| 1740. |
A man has some hens and cows. If the number of their heads be 48 and the number of feet equal to 140, then the number of hens is |
| A. | 24 |
| B. | 25 |
| C. | 26 |
| D. | 27 |
| Answer» D. 27 | |
| 1741. |
If (172826 - 2156) is divided by 16, what will be the remainder? |
| A. | 0 |
| B. | 1 |
| C. | 4 |
| D. | 13 |
| Answer» B. 1 | |
| 1742. |
If HCF (a, 8) = 4 and LCM (a, 8) = 24, then 'a' is |
| A. | 10 |
| B. | 14 |
| C. | 12 |
| D. | 8 |
| Answer» D. 8 | |
| 1743. |
How many natural numbers are there in between \(\sqrt {841}\) and \(\sqrt {3249}\)? |
| A. | 26 |
| B. | 27 |
| C. | 28 |
| D. | 29 |
| Answer» C. 28 | |
| 1744. |
If the number 234117 pq is divisible by 99, then what are the value of 'p' and 'q' ? |
| A. | p = 1, q = 8 |
| B. | p = 3, q = 6 |
| C. | p = 2, q = 7 |
| D. | p = 4, q = 5 |
| Answer» B. p = 3, q = 6 | |
| 1745. |
By what should 76 be multiplied to get 72 ? |
| A. | 74 |
| B. | \(\frac{1}{7^4}\) |
| C. | 72 |
| D. | \(\frac{1}{7^2}\) |
| Answer» C. 72 | |
| 1746. |
Find the smallest number which is divisible by 12, 15, 20 and also is a perfect square? |
| A. | 1600 |
| B. | 900 |
| C. | 3600 |
| D. | 400 |
| Answer» C. 3600 | |
| 1747. |
Arun had some money with which he could buy either fifteen chocolates or five notebooks. He decided to put away 12 percent of it for himself. What is the maximum number of notebooks that he can buy with the remaining amount? |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» B. 3 | |
| 1748. |
If 6x5 – 24x3 – 5x + 6 is divided by x + 2, then the remainder is: |
| A. | -22 |
| B. | -16 |
| C. | 16 |
| D. | 22 |
| Answer» D. 22 | |
| 1749. |
Consider the following statements:1. Every natural number is a real number2. Every real number is a rational number3. Every integer is a real number4. Every rational number is a real numberWhich of the above statements are correct? |
| A. | 1, 2 and 3 |
| B. | 1, 3 and 4 |
| C. | 2 and 3 only |
| D. | 3 and 4 only |
| Answer» C. 2 and 3 only | |
| 1750. |
If p3 = q4 = r5 = s6 , then the value of logs (pqr) is equal to |
| A. | 1 |
| B. | 24/5 |
| C. | 16/5 |
| D. | 47/10 |
| Answer» E. | |