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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.
| 1501. |
A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults? |
| A. | 6 |
| B. | 10 |
| C. | 12 |
| D. | 15 |
| Answer» C. 12 | |
| 1502. |
A three digit number 4p3 is added to 984 to get a four digit number 13q7. If 13q7 is divisible by 11, then the value of (q - p) will be: |
| A. | 8 |
| B. | 9 |
| C. | 7 |
| D. | 11 |
| Answer» B. 9 | |
| 1503. |
Let m be a non-zero integer and n be a positive integer. Let R be the remainder obtained on dividing the polynomial xn + mn by (x – m). Then |
| A. | R is a non-zero even integer |
| B. | R = s2 for some integer s, if n is even |
| C. | R = s2 for some integer s, if n is even |
| D. | R = t3 for some integer t, if 3 divides n |
| Answer» B. R = s2 for some integer s, if n is even | |
| 1504. |
If the number x4584 is divisible by 11, what is the face value of x? |
| A. | 4 |
| B. | 5 |
| C. | 3 |
| D. | 2 |
| Answer» D. 2 | |
| 1505. |
If \(A_{n}=P_{n}+1\), where \(P_n\) is the product of the first n prime numbers, then consider the following statements:1. \(A_n\) is always a composite number.2. An + 2 is always an odd number.3. An + 1 is always an even numberWhich of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | 3 only |
| D. | 2 and 3 only |
| Answer» E. | |
| 1506. |
If the 8 - digit number 43A5325B is divisible by 8 and 9, then the sum of A and B is equal to: |
| A. | 18 |
| B. | 12 |
| C. | 14 |
| D. | 15 |
| Answer» D. 15 | |
| 1507. |
In a gathering on 100 people, 70 of them can speak Hindi, 60 can speak English and 30 can speak French. Further, 30 of them can speak both Hindi and English, 20 can speak both Hindi and French. If x is the number of people who can speak both English and French, then which one of the following is correct? (Assume that everyone can speak at least one of the three languages.) |
| A. | 9 < × ≤ 30 |
| B. | 0 ≤ × ≤ 8 |
| C. | x = 9 |
| D. | x = 8 |
| Answer» B. 0 ≤ × ≤ 8 | |
| 1508. |
A number X lies between 0 and 1. Which of the following is true? |
| A. | \(X > \sqrt X\) |
| B. | \(X > \frac{1}{X}\) |
| C. | X3 > X2 |
| D. | \(\frac{1}{X} > \sqrt X\) |
| Answer» E. | |
| 1509. |
In a division action, the divisor is 8 times the quotient and 9 times the remainder. If the remainder is 24, what will the dividend be? |
| A. | 5,858 |
| B. | 5,820 |
| C. | 5,856 |
| D. | 5,824 |
| Answer» D. 5,824 | |
| 1510. |
Any 6-digit number formed by repeating 3 digits like 656656 or 486486 is always divisible by: |
| A. | 6 |
| B. | 11 |
| C. | 9 |
| D. | 3 |
| Answer» C. 9 | |
| 1511. |
For the data given below, Find the LCM of Mode, Mean and Median.7, 2, 10, 4, 3, 12, 8, 4, 6, 4 |
| A. | 20 |
| B. | 60 |
| C. | 12 |
| D. | 30 |
| Answer» C. 12 | |
| 1512. |
A number is such that the product of its digit is 12. When 36 is added to the number, the digits get reversed. Find the number |
| A. | 43 |
| B. | 26 |
| C. | 34 |
| D. | 62 |
| Answer» C. 34 | |
| 1513. |
Find the HCF of 48, 92 and 140? |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 1514. |
If the eight -digit number 342x 18y6 is divided by 72, then what is the value of \(\sqrt {9x + y} ,\) for the largest value of y? |
| A. | \(2\sqrt 7\) |
| B. | 8 |
| C. | \(4\sqrt 7\) |
| D. | 6 |
| Answer» E. | |
| 1515. |
If the sum of the square of a number and its square root is equal to the half the square of 6, then the number is _________ |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» B. 5 | |
| 1516. |
111 Russian, 407 Chinese and 259 Japanese tourists have assembled at a place. Identical batches containing the same number of persons from each nationality has to be formed without leaving out anybody. Find the total number of persons in each batch. |
| A. | 18 |
| B. | 21 |
| C. | 10 |
| D. | 14 |
| Answer» C. 10 | |
| 1517. |
\(\frac{2^5}{2^3}\)= ? |
| A. | 4 |
| B. | 1 |
| C. | 0 |
| D. | 16 |
| Answer» B. 1 | |
| 1518. |
Find the reciprocal of \(2\frac{3}{5}\). |
| A. | \(\frac{5}{{13}}\) |
| B. | \(2\frac{3}{5}\) |
| C. | \(5\frac{3}{5}\) |
| D. | \(3\frac{3}{5}\) |
| Answer» B. \(2\frac{3}{5}\) | |
| 1519. |
Let x be the greatest number which is such that when 3288, 10139 and 19200 are divided by it, the remainder in each case is the same. What is the sum of the digits of x? |
| A. | 6 |
| B. | 7 |
| C. | 11 |
| D. | 5 |
| Answer» E. | |
| 1520. |
If x = 2 + 1/3 + 2/3, then the value of \(x^3 - 6x^2 + 6x\) is |
| A. | -9 |
| B. | 1 |
| C. | -4 |
| D. | 3 |
| Answer» B. 1 | |
| 1521. |
If the seven digit number 3x6349y is divisible by 88, then what will be the value of (2x + 3y)? |
| A. | 32 |
| B. | 30 |
| C. | 35 |
| D. | 28 |
| Answer» B. 30 | |
| 1522. |
One picometre is equal to _______. |
| A. | 1012 m |
| B. | 1011 m |
| C. | 10-11 m |
| D. | 10-12 m |
| Answer» E. | |
| 1523. |
If x is a positive integer such that 2x + 12 is perfectly divisible by x, then the number of possible values of x is: |
| A. | 2 |
| B. | 5 |
| C. | 6 |
| D. | 12 |
| Answer» D. 12 | |
| 1524. |
Find the highest common factor of 36 and 84. |
| A. | 24 |
| B. | 6 |
| C. | 12 |
| D. | 18 |
| Answer» D. 18 | |
| 1525. |
Find the HCF of 69, 96 and 138.A. 9B. 6C. 3D. 2 |
| A. | D |
| B. | B |
| C. | C |
| D. | A |
| Answer» D. A | |
| 1526. |
How many positive factors of 36 are there? |
| A. | 4 |
| B. | 6 |
| C. | 9 |
| D. | 12 |
| Answer» D. 12 | |
| 1527. |
If n is any natural number, then 52n - 1 is always divisible by a minimum of how many natural numbers? |
| A. | One |
| B. | Four |
| C. | Six |
| D. | Eight |
| Answer» E. | |
| 1528. |
Find the HCF for 120, 300 and 105? |
| A. | 15 |
| B. | 10 |
| C. | 25 |
| D. | 5 |
| Answer» B. 10 | |
| 1529. |
Between 52 and 62 there are ______ non-perfect square numbers. |
| A. | 11 |
| B. | 6 |
| C. | 12 |
| D. | 10 |
| Answer» E. | |
| 1530. |
If p and q are in the ratio 4 : 3 and their LCM is 36, p + q = ? |
| A. | 18 |
| B. | 21 |
| C. | 24 |
| D. | 12 |
| Answer» C. 24 | |
| 1531. |
Find the LCM of 0.63, 10.5, 2.1, 4.20. |
| A. | 63 |
| B. | 0.63 |
| C. | 6.30 |
| D. | 6300 |
| Answer» B. 0.63 | |
| 1532. |
72 × 28 = 36 × 4 × _________.The number in the blank isA) multiple of 7B) a prime numberC) less than 10D) an even numberE) factor of 56Which of the following is correct? |
| A. | A), D), B) |
| B. | C), D), E) |
| C. | A), D), E) |
| D. | A), B), C) |
| Answer» D. A), B), C) | |
| 1533. |
Arrange the following in descending order:1000, 1005, 1002, 1007, 1003. |
| A. | 1007, 1005, 1003, 1002, 1000 |
| B. | 1000, 1002, 1003, 1005, 1007 |
| C. | 1007, 1003, 1005, 1002, 1000 |
| D. | 1007, 1005, 1000, 1002, 1003 |
| Answer» B. 1000, 1002, 1003, 1005, 1007 | |
| 1534. |
Anand has to multiply 2 numbers together, but he uses 47 instead of 74 and finds that the product has decreased by 270. What is this decreased product? |
| A. | 470 |
| B. | 740 |
| C. | 720 |
| D. | 420 |
| Answer» B. 740 | |
| 1535. |
A prime numberA. is not a positive integer.B. has no divisor at all.C. has only 1 and itself as divisors.D. has more than two divisors. |
| A. | B |
| B. | D |
| C. | A |
| D. | C |
| Answer» E. | |
| 1536. |
Product of Highest Common Factor and Least Common Multiple of two numbers is 216. If one of the number is 12, then what will be the ratio of these two numbers? |
| A. | 3 : 5 |
| B. | 1 : 6 |
| C. | 2 : 3 |
| D. | 1 : 2 |
| Answer» D. 1 : 2 | |
| 1537. |
A monkey climbs a 12 meters high slippery pillar. In his first minute, he climbs 2 meters and in the next minute, he slips one meter down. In this way, how much time will he take to reach the top of the pillar? |
| A. | 10 minutes |
| B. | 21 minutes |
| C. | 12 minutes |
| D. | 11 minutes |
| Answer» C. 12 minutes | |
| 1538. |
By what number should \((\frac{4}{9})\)-4 be divided so that the quotient is \((\frac{1}{2})\)4 |
| A. | \((\frac{9}{2})\)4 |
| B. | \((\frac{2}{9})\)3 |
| C. | \((\frac{9}{2})\)3 |
| D. | \((\frac{2}{9})\)4 |
| Answer» B. \((\frac{2}{9})\)3 | |
| 1539. |
If 45921P is divisible by 8, then what is the value of P? |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 6 |
| Answer» E. | |
| 1540. |
Find the dividend if the divisor is (x + 2), quotient is (4x - 5) and the remainder is 12. |
| A. | 4x2 + 5x + 2 |
| B. | 4x2 + 3x + 2 |
| C. | 4x2 – 3x + 2 |
| D. | 4x2 + 3x – 2 |
| Answer» C. 4x2 – 3x + 2 | |
| 1541. |
How many multiples of 5 are there from 1 to 200 which are not multiples of 4? |
| A. | 40 |
| B. | 30 |
| C. | 25 |
| D. | 35 |
| Answer» C. 25 | |
| 1542. |
If the square of a number is multiplied by 5, we get 1125, then the number is: |
| A. | 14 |
| B. | 25 |
| C. | 15 |
| D. | 12 |
| Answer» D. 12 | |
| 1543. |
200 sq. mtrs is equal to ______ |
| A. | 2000 sq. yards |
| B. | 2400 sq. yards |
| C. | 240 sq. yards |
| D. | 200 sq. yards |
| Answer» D. 200 sq. yards | |
| 1544. |
If 3x2 – 6x + a is divisible by x – 2, then the value of 'a' will be |
| A. | 6 |
| B. | 8 |
| C. | 0 |
| D. | -2 |
| Answer» D. -2 | |
| 1545. |
Convert 45 into binary number. |
| A. | 111001 |
| B. | 101101 |
| C. | 101010 |
| D. | 101111 |
| Answer» C. 101010 | |
| 1546. |
If 2x + 4(x - 3) < - 2 - x < 2x - 1, then find the value of x. |
| A. | -1 |
| B. | 1 |
| C. | 2 |
| D. | -2 |
| Answer» C. 2 | |
| 1547. |
For real numbers a and b, if \(a*b=a^2+b^2-3ab\) then \(\lbrace 1* (-1)\rbrace * \lbrace \sqrt{2}* \sqrt{2}\rbrace =\) |
| A. | 23 |
| B. | 35 |
| C. | 53 |
| D. | 59 |
| Answer» E. | |
| 1548. |
Let x be the greatest number of 4 digits which, when divided by 16, 28, 40 and 48, leaves remainder 11 in each case. What is the sum of the digit of x? |
| A. | 17 |
| B. | 13 |
| C. | 14 |
| D. | 18 |
| Answer» D. 18 | |
| 1549. |
If A = Integers, B = Natural numbers then A ∩ B = |
| A. | Even numbers |
| B. | Natural numbers |
| C. | Whole numbers |
| D. | Integer numbers |
| Answer» C. Whole numbers | |
| 1550. |
A number when divided by 16 leaves a remainder 8. When the square of the number is divided by 8 the remainder is __________. |
| A. | 6 |
| B. | 2 |
| C. | 5 |
| D. | 0 |
| Answer» E. | |