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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.
| 601. |
If the 7-digit number 134x58y is divisible by 72, then the value of (2x + y) is |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 6 |
| Answer» C. 9 | |
| 602. |
If a cube of a number is subtracted from (153)2, the number so obtained is 1457, Find the number. |
| A. | 28 |
| B. | 18 |
| C. | 24 |
| D. | 16 |
| Answer» B. 18 | |
| 603. |
A sum of Rs.312 was divided among a group of 100 students in such a way that each boy got Rs. 3.60 and each girl got Rs. 2.40.Find the number of girls |
| A. | 65 |
| B. | 60 |
| C. | 40 |
| D. | 35 |
| Answer» D. 35 | |
| 604. |
If L and M are natural or whole numbers, then L × M is also a natural or whole number.The above statement indicates which property of multiplication? |
| A. | Commutative property |
| B. | Closure property |
| C. | Identity of multiplication |
| D. | Distributive property of multiplication over addition |
| Answer» C. Identity of multiplication | |
| 605. |
Find the largest two-digit prime number. |
| A. | 91 |
| B. | 93 |
| C. | 89 |
| D. | 97 |
| Answer» E. | |
| 606. |
Find two consecutive odd positive integers, sum of whose square is 290? |
| A. | 11, 13 |
| B. | 5, 7 |
| C. | 13, 15 |
| D. | 7, 9 |
| Answer» B. 5, 7 | |
| 607. |
If three-fourth of a number is more than one-fifth of the number by 11, then the number is: |
| A. | 25 |
| B. | 16 |
| C. | 20 |
| D. | 30 |
| Answer» D. 30 | |
| 608. |
In a class of 600 students, 55% students passed in Geography, 65% students passed in Economics and 30% students passed in both these subjects. How many students failed in these two subjects? |
| A. | 70 |
| B. | 60 |
| C. | 45 |
| D. | 50 |
| Answer» C. 45 | |
| 609. |
If we have to find the place value of any digit present at the tens place of a number, then by which number we have to multiply this digit? |
| A. | 1000 |
| B. | 1 |
| C. | 100 |
| D. | 10 |
| Answer» E. | |
| 610. |
In a 1000 metre race, Rahul reaches the finishing line 5 seconds before than Raj and beats Raj by 50 metre. What is Rahul's speed (in m/s)? |
| A. | \(11 \frac{9}{19}\) |
| B. | \(9 \frac{9}{19}\) |
| C. | \(10 \frac{10}{19}\) |
| D. | \(9 \frac{10}{19}\) |
| Answer» D. \(9 \frac{10}{19}\) | |
| 611. |
Outside a meeting room, Madhukar was told by a person that each meeting takes place after 13/4 hours. The last meeting has been over just 45 minutes ago, and the next meeting will take place at 2 pm. At what time did Madhukar receive this information? |
| A. | 10:20 am |
| B. | 11:30 am |
| C. | 11:40 am |
| D. | 11:50 am |
| Answer» C. 11:40 am | |
| 612. |
Find the value of n = 3n/2 + 9n/4 + …∞. |
| A. | 3 |
| B. | 1 |
| C. | 2 |
| D. | Infinity |
| Answer» E. | |
| 613. |
If Highest common Factor of two numbers is 8, then which of the following cannot be their Least Common Multiple? |
| A. | 72 |
| B. | 24 |
| C. | 68 |
| D. | 64 |
| Answer» D. 64 | |
| 614. |
If the number \(2^2 \times 5^4 \times 4^6 \times 10^8 \times 15^{12} \times 8^{14} \times 20^{16} \times 10^{18} \times 25^{20}\) is divisible by \(10^n\), then which one of the following is the maximum value of n? |
| A. | 78 |
| B. | 85 |
| C. | 89 |
| D. | 98 |
| Answer» E. | |
| 615. |
HCF and LCM of two numbers p and q are A and B respectively, if A + B = p + q, then the value of A3 + B3 is: |
| A. | p3 |
| B. | p3 – q3 |
| C. | q3 |
| D. | p3 + q3 |
| Answer» E. | |
| 616. |
Find the largest number of three digits exactly divisible by 15, 18, 27 and 30? |
| A. | 870 |
| B. | 900 |
| C. | 810 |
| D. | 780 |
| Answer» D. 780 | |
| 617. |
A number when divided by 3 is reduced by 32. What will be number? |
| A. | 48 |
| B. | 36 |
| C. | 56 |
| D. | 64 |
| Answer» B. 36 | |
| 618. |
According to the discussion, division in the natural numbers is the reverse process of ______.I. AdditionII. multiplication |
| A. | Both I and II |
| B. | Neither I nor II |
| C. | Only I |
| D. | Only II |
| Answer» E. | |
| 619. |
If a = 25 × 113 × 134, b = 24 × 114 × 135, c = 24 × 115 × 133 and d = 23 × 114 × 134, then the LCM of a, b, c and d is: |
| A. | (22 × 13)5 |
| B. | 114 × 265 |
| C. | (11 × 26)4 |
| D. | 115 × 264 |
| Answer» B. 114 × 265 | |
| 620. |
If log3 y = x and log2 z = x, then 72x is equal to - |
| A. | yz |
| B. | y2z2 |
| C. | y2z3 |
| D. | y3z3 |
| Answer» D. y3z3 | |
| 621. |
How many times will you write even numerals if you write all the numbers from 291 to 300? |
| A. | 11 |
| B. | 13 |
| C. | 15 |
| D. | 17 |
| Answer» D. 17 | |
| 622. |
Consider the following sentences:1. If a = bc with HCF(b, c) = 1, then HCF(c, bd) = HCF(c, d).2. If a = bc with HCF(b, c) = 1, then LCM(a, d) = LCM(c, bd).Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 623. |
How many multiples of 3 are there from 1 to 100 which are not multiples of 2? |
| A. | 17 |
| B. | 21 |
| C. | 34 |
| D. | 22 |
| Answer» B. 21 | |
| 624. |
Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 5 |
| Answer» C. 2 | |
| 625. |
Find out the least number to be added 1051 make it completely divisible by 33. |
| A. | 31 |
| B. | 33 |
| C. | 38 |
| D. | 36 |
| Answer» D. 36 | |
| 626. |
If p2 - 6p + 7 is divided by p - 1, the remainder will be |
| A. | Positive |
| B. | Zero |
| C. | Negative |
| D. | None of these |
| Answer» B. Zero | |
| 627. |
Find the number of trailing zeros in 375!. |
| A. | 93 |
| B. | 94 |
| C. | 92 |
| D. | 91 |
| Answer» B. 94 | |
| 628. |
A divisor is 15 times the quotient and 3 times the remainder. If the remainder is 40, find the dividend. |
| A. | 1000 |
| B. | 600 |
| C. | 750 |
| D. | 900 |
| Answer» B. 600 | |
| 629. |
A sum of Rs. 2100 has to be used to give seven cash prizes to the students. If each prize is Rs. 20 less than its preceding prize, then number of times the maximum prize amount is more than minimum prize amounts, is |
| A. | 1.2 |
| B. | 1.3 |
| C. | 1.5 |
| D. | 2 |
| Answer» B. 1.3 | |
| 630. |
If 432P1 is completely divisible by 9, then what is the value of P? |
| A. | 1 |
| B. | 8 |
| C. | 7 |
| D. | 2 |
| Answer» C. 7 | |
| 631. |
HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number. |
| A. | 6 |
| B. | 9 |
| C. | 8 |
| D. | 3 |
| Answer» B. 9 | |
| 632. |
In the shooting competition, 5 marks are given for each correct target and 3 marks are deducted for the missed target. How many points will Kiran get if he misses 5 targets for a total of 15 attempts? |
| A. | 65 |
| B. | 50 |
| C. | 15 |
| D. | 35 |
| Answer» E. | |
| 633. |
In a college of 900 students, if 600 select mathematics; 350 select both mathematics and science; find the number of students who select only science. |
| A. | 950 |
| B. | 600 |
| C. | 900 |
| D. | 300 |
| Answer» E. | |
| 634. |
If \(\sqrt{18225} = 135\), then the value of \(\sqrt{182.25} + \sqrt{1.8225}\) is |
| A. | 1.485 |
| B. | 13.635 |
| C. | 2.7 |
| D. | 14.85 |
| Answer» E. | |
| 635. |
Given below are two statements:Statement I: The value of hexadecimal number 21 is 33 in the decimal number system.Statement II: The value of binary number 1110 is 14 in the decimal number system.In the light of the above statements, choose the correct answer from the options given below: |
| A. | Both Statement I and Statement II are true |
| B. | Both Statement I and Statement II are false |
| C. | Statement I is correct but Statement II is false |
| D. | Statement I is incorrect but Statement II is true |
| Answer» B. Both Statement I and Statement II are false | |
| 636. |
How many times the digit 7 appears in the number from 1 to 90? |
| A. | 19 |
| B. | 18 |
| C. | 20 |
| D. | 10 |
| Answer» B. 18 | |
| 637. |
Find the LCM of 3, 4, 5 ? |
| A. | 45 |
| B. | 48 |
| C. | 60 |
| D. | 12 |
| Answer» D. 12 | |
| 638. |
Find the square root of the perfect square made by multiplying 4050 with a least positive integer. |
| A. | 80 |
| B. | 90 |
| C. | 85 |
| D. | 95 |
| Answer» C. 85 | |
| 639. |
Find the LCM of \(\dfrac{1}{15}, \dfrac{1}{2}, \dfrac{2}{25}, \dfrac{2}{15}\).A. \(\dfrac{40}{300}\)B. \(\dfrac{2}{10}\)C. \(\dfrac{1}{4}\)D. 2 |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» E. | |
| 640. |
If a number 657423547X46 is divisible by 11, then find the value of X. |
| A. | 7 |
| B. | 9 |
| C. | 8 |
| D. | 6 |
| Answer» C. 8 | |
| 641. |
How many positive factors of 24 are there? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 642. |
For a natural number m, where m is even and prime number, the product m (m + 2)(m + 4) is not divisible by: |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 2 |
| Answer» C. 6 | |
| 643. |
Consider the following statements in respect of two different non-zero integers p and q:I. For (p + q) to be less than (p - q), q must be negativeII. For (p + q) to be greater than (p - q), both p and q must be positiveWhich of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 644. |
Given below are two statementsStatement I : (543)6 is equivalent to (317)8Statement II : The last 4 bits in the binary representation of a multiple of 16 is 1000.In light of the above statements. choose the correct answer from the options given below |
| A. | Both Statement I and Statement II are true |
| B. | Both Statement I and Statement II are false |
| C. | Statement I is true but Statement II is false |
| D. | Statement I is false but Statement II is true |
| Answer» D. Statement I is false but Statement II is true | |
| 645. |
If ratio of two numbers is 7 : 11 and its H.C.F. is 13. Then L.C.M is: |
| A. | 143 |
| B. | 234 |
| C. | 1001 |
| D. | 101 |
| Answer» D. 101 | |
| 646. |
If \(x = 3 + 2\sqrt{2}\), then the value of \(\sqrt{x} - \frac{1}{\sqrt{x}}\) is: |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 3 |
| Answer» B. 1 | |
| 647. |
If 234A is divisible by 9, find the value of the smallest natural number A?A. 5B. 6C. 7D. 9 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» B. B | |
| 648. |
LCM of two prime numbers x and y (x > y) is 203. The value of 7y - x is∶ |
| A. | 23 |
| B. | 20 |
| C. | 19 |
| D. | 196 |
| Answer» C. 19 | |
| 649. |
A student was asked to find \(\dfrac{5}{16}\) of a number. By mistake he found \(\dfrac{5}{6}\) of that number and his answer was 250 more than the correct answer. Find the given number |
| A. | 300 |
| B. | 480 |
| C. | 450 |
| D. | 500 |
| Answer» C. 450 | |
| 650. |
Find the value of 5231405 × 99999.A. 523135278595B. 723135268595C. 523135268595D. 623135268595 |
| A. | D |
| B. | B |
| C. | C |
| D. | A |
| Answer» D. A | |