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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.
| 401. |
How many of the following numbers are divisible by 36?324, 338, 342, 356, 360, 1080 |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 402. |
How many bamboo piece of length 85 cm can be made from a 42.5 m long bamboo? |
| A. | 30 |
| B. | 40 |
| C. | 50 |
| D. | 60 |
| Answer» D. 60 | |
| 403. |
How many numbers are there from 14 to 159 which are divisible by both 2 and 8? |
| A. | 7 |
| B. | 18 |
| C. | 11 |
| D. | 12 |
| Answer» C. 11 | |
| 404. |
Calculate the value of \(\frac{{\sqrt 3 }}{{\left( {3 + \sqrt 3 } \right)}},\) if √3 = 1.7320. |
| A. | 0.366 |
| B. | 0.566 |
| C. | 0.356 |
| D. | 0.346 |
| Answer» B. 0.566 | |
| 405. |
A temple has five bells which ring at the intervals of 12, 15, 16, 20 and 25 minutes respectively. If they ring together at midnight, then at what time next will they ring together? |
| A. | 7:00 P.M. |
| B. | 7:30 P.M. |
| C. | 8:00 P.M. |
| D. | 8:30 P.M. |
| Answer» D. 8:30 P.M. | |
| 406. |
If the sum of the squares of two positive numbers is 2426 and the square root of one number is 7, then the other number is: |
| A. | 6 |
| B. | 4 |
| C. | 5 |
| D. | 8 |
| Answer» D. 8 | |
| 407. |
If \(a\; = \;\sqrt {7\; + \;4\sqrt 3 ,}\) then what is the value of a + 1/a? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 7 |
| Answer» D. 7 | |
| 408. |
Find the correct pair from the following : |
| A. | 1 Kilobyte = 104 |
| B. | 1 Megabyte = 106 |
| C. | 1 Gigabyte = 1012 |
| D. | 1 Terabyte = 1015 |
| Answer» C. 1 Gigabyte = 1012 | |
| 409. |
Find the LCM of the following fractions:2/3, 8/9, 16/27, 32/81 |
| A. | 32/81 |
| B. | 81/32 |
| C. | 32/3 |
| D. | 11/41 |
| Answer» D. 11/41 | |
| 410. |
If 4515 ÷ 17.5 = 258, then 45.15 ÷ 1.75 =?A. 2.58B. 0.258C. 25.8D. 258 |
| A. | A |
| B. | C |
| C. | B |
| D. | D |
| Answer» C. B | |
| 411. |
7386038 is divisible by |
| A. | 3 |
| B. | 9 |
| C. | 11 |
| D. | None of the above |
| Answer» D. None of the above | |
| 412. |
If the product of two numbers is 3192 and their LCM is 56 then their HCF is:A. 58B. 59C. 56D. 57 |
| A. | C |
| B. | A |
| C. | B |
| D. | D |
| Answer» E. | |
| 413. |
One of the factors of \({x^2} - \frac{{5x}}{2} + 1\) is |
| A. | 2x - 1 |
| B. | 2x + 1 |
| C. | 3x - 1 |
| D. | None of the above |
| Answer» B. 2x + 1 | |
| 414. |
Find the simplest number which is divisible by 12, 15, 20 and is a perfect square. |
| A. | 400 |
| B. | 900 |
| C. | 1000 |
| D. | 180 |
| Answer» C. 1000 | |
| 415. |
Complete the following number sequence, 2, 5, 10, 17, 26, 37, ? |
| A. | 40 |
| B. | 42 |
| C. | 49 |
| D. | 50 |
| Answer» E. | |
| 416. |
If sum of the digits of a number is 18 less than the number, then what is the digit in the tenth place of the number? |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 3 |
| Answer» C. 1 | |
| 417. |
LCM and HCF of two numbers is 64699 and 97 respectively and one of the numbers is 2231. Find the second number. |
| A. | 2813 |
| B. | 2814 |
| C. | 2815 |
| D. | 2816 |
| Answer» B. 2814 | |
| 418. |
If A = {x : x is a multiple of 7},B = {x : x is a multiple of 5} andC = {x : x is a multiple of 35}Then which of the following is null set? |
| A. | (A – B) ∪ C |
| B. | (A – B) – C |
| C. | (A ∩ B) ∩ C |
| D. | (A ∩ B) – C |
| Answer» E. | |
| 419. |
Cube root of 704969 is - |
| A. | 69 |
| B. | 79 |
| C. | 89 |
| D. | 99 |
| Answer» D. 99 | |
| 420. |
Find the remainder in the expression \(\frac{{557{\rm{\;}} \times {\rm{\;}}653{\rm{\;}} \times {\rm{\;}}672}}{9}\) |
| A. | 0 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 421. |
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is Rs.2 more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is |
| A. | 36 |
| B. | 33 |
| C. | 30 |
| D. | 27 |
| Answer» C. 30 | |
| 422. |
Find the greatest number which is such that when 76, 151, and 226 are divided by it, the remainders are all alike. |
| A. | 60 |
| B. | 70 |
| C. | 75 |
| D. | 69 |
| Answer» D. 69 | |
| 423. |
Find the missing number: 2, 10, 30, 68, ? |
| A. | 101 |
| B. | 102 |
| C. | 130 |
| D. | 104 |
| Answer» D. 104 | |
| 424. |
If 8 balls Cost 60 rupees, how much will it Cost for one and a half dozen balls? |
| A. | 120 |
| B. | 135 |
| C. | 100 |
| D. | 144 |
| Answer» C. 100 | |
| 425. |
Let m and n be natural numbers such that n is even and \(0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0.5\) Then m - 2n equals |
| A. | 2 |
| B. | 4 |
| C. | 3 |
| D. | 1 |
| Answer» E. | |
| 426. |
If A is the smallest three digit number divisible by both 6 and 7 and B is the largest four digit number divisible by both 6 and 7, then what is the value of B – A? |
| A. | 9870 |
| B. | 9912 |
| C. | 9996 |
| D. | 9954 |
| Answer» B. 9912 | |
| 427. |
A boy added all natural numbers from 1 to 12, however he added one number twice due to which the sum becomes 80. What is the number which he added twice? |
| A. | 3 |
| B. | 2 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 428. |
If 1234x is divisible by 11, what will be the value of x? |
| A. | 4 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 429. |
How many of the following numbers are divisible by 132?264, 396, 462, 792, 968, 2178, 5184, 6336 |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» B. 5 | |
| 430. |
How many times the digit 2 appears in the first 100 natural numbers? |
| A. | 10 |
| B. | 19 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 431. |
How many positive factors of 64 are there? |
| A. | 5 |
| B. | 7 |
| C. | 4 |
| D. | 8 |
| Answer» C. 4 | |
| 432. |
A number 'x' on dividing 115, 138 and 191 leaves remainder of 3, 5 and 2 respectively. What is the value of 'x'? |
| A. | 6 |
| B. | 7 |
| C. | 1 |
| D. | 9 |
| Answer» C. 1 | |
| 433. |
Find the LCM of 2/3 and 6/7. |
| A. | 6/21 |
| B. | 12/21 |
| C. | 2/21 |
| D. | 6 |
| Answer» E. | |
| 434. |
M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9? |
| A. | 2 |
| B. | 1 |
| C. | 3 |
| D. | 6 |
| Answer» C. 3 | |
| 435. |
If LCM of two numbers 390 and 420 is 5460, then the HCF of two numbers is: |
| A. | 35 |
| B. | 45 |
| C. | 30 |
| D. | 42 |
| Answer» D. 42 | |
| 436. |
Let y = f(x) be the function for which f(l) = 14, f(2) = 12, f(5) = 6 and f(8) = 21, then f(7) is- |
| A. | 2 |
| B. | 12 |
| C. | -8 |
| D. | None of these |
| Answer» B. 12 | |
| 437. |
Let \(g(x) + g \left(\dfrac{1}{x}\right) = 1 + 3x\). Find the value of g(3). |
| A. | Cannot be determined |
| B. | -1/2 |
| C. | 1/2 |
| D. | 3 |
| Answer» B. -1/2 | |
| 438. |
If the numbers \(\frac{1}{3}\), 0.3, \(\frac{{33}}{{121}}\) and 0.33 are written in ascending order, then what will be the last number? |
| A. | 0.33 |
| B. | \(\frac{{33}}{{121}}\) |
| C. | 0.3 |
| D. | \(\frac{1}{3}\) |
| Answer» E. | |
| 439. |
Find the HCF of 315, 630 and 945.A. 315B. 105C. 210D. 140 |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» D. D | |
| 440. |
Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123? |
| A. | 40 |
| B. | 33 |
| C. | 103 |
| D. | 100 |
| Answer» C. 103 | |
| 441. |
A non-terminating but recurring decimal is |
| A. | an integer |
| B. | a natural number |
| C. | a rational number |
| D. | an irrational number |
| Answer» D. an irrational number | |
| 442. |
If x is an integer, then (x3 - x) is always divisible by which of the following number? |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 9 |
| Answer» C. 8 | |
| 443. |
A-F system is used in which of the following number systems? |
| A. | Binary |
| B. | Octal |
| C. | Hexa-Decimal |
| D. | Decimal |
| Answer» D. Decimal | |
| 444. |
If the Least Common Multiple of 56, 57 and 58 is K, then what will be the Least Common Multiple of 56, 57, 58 and 59? |
| A. | 177 K |
| B. | 59 K |
| C. | 57 K |
| D. | 56 K |
| Answer» C. 57 K | |
| 445. |
Let d + 2(2b + c) = 19. What will be the remainder when the 4-digit number abcd is divided by 8? |
| A. | 2 |
| B. | 5 |
| C. | 0 |
| D. | 3 |
| Answer» E. | |
| 446. |
HCF of 3 numbers is 6 and LCM is 630. If two numbers be 18 and 42, then 3rd number will be |
| A. | 30 |
| B. | 20 |
| C. | 24 |
| D. | 28 |
| Answer» B. 20 | |
| 447. |
If N = (√7 - √5)/(√7 + √5), then what is the value of 1/N? |
| A. | 6 - √35 |
| B. | 6 + √35 |
| C. | 7 + √35 |
| D. | 7 - √35 |
| Answer» C. 7 + √35 | |
| 448. |
Find out the HCF of 30 and 25? |
| A. | 48 |
| B. | 05 |
| C. | 25 |
| D. | 30 |
| Answer» C. 25 | |
| 449. |
A man has Rs. 480 in the denominations of one-rupee notes, five notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has? |
| A. | 45 |
| B. | 60 |
| C. | 75 |
| D. | 90 |
| Answer» E. | |
| 450. |
How many natural numbers less than 500, when divided by 35 and 49, will leave a remainder of 30 in each case? |
| A. | 4 |
| B. | 3 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |