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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.
| 501. |
A perfect square is obtained by multiplying the smallest number with 486. Find the square root of the square thus obtained. |
| A. | 24 |
| B. | 48 |
| C. | 54 |
| D. | 26 |
| Answer» D. 26 | |
| 502. |
A plane is flying at a height of 6000 m above the sea level. At a particular point, it is exactly above a submarine floating at 1 / 4th of the height of the plane below the sea level. What is the vertical distance between the plane and the submarine? |
| A. | 7000 m |
| B. | 7750 m |
| C. | 7250 m |
| D. | 7500 m |
| Answer» E. | |
| 503. |
In a question on division,the divisor is 6 times the quotient and 3 times the remainder. If the remainder is 40, then find the dividend. |
| A. | 2445 |
| B. | 2440 |
| C. | 2455 |
| D. | 2450 |
| Answer» C. 2455 | |
| 504. |
Let a, b, c be three rational numbers, where \(a=\dfrac{3}{5}, b = \dfrac{2}{3}\) and \(c = \dfrac{-5}{6}\). Which one of the following is true? |
| A. | a × (b + c ) = b × (a + c ) |
| B. | (a ÷ b + c ) = b ÷ (a + c ) |
| C. | a + (b + c ) = c + (a + b) |
| D. | a - (b - c ) = c - (a - b) |
| Answer» D. a - (b - c ) = c - (a - b) | |
| 505. |
From a tin jar containing 11.5 litre mustard oil, 2.5 litre of oil is used for the house. For keeping the remaining oil in plastic jars of capacity 225 ml how many jars are required in the minimum? |
| A. | 30 |
| B. | 40 |
| C. | 45 |
| D. | 50 |
| Answer» C. 45 | |
| 506. |
If (2x - 3) is a factor of f(x) = 2x3 - x2 + px + 6, then the value of p is: |
| A. | 4 |
| B. | -3 |
| C. | 3 |
| D. | -7 |
| Answer» E. | |
| 507. |
Average of first eight multiples of 8 is |
| A. | 36 |
| B. | 46 |
| C. | 32 |
| D. | 72 |
| Answer» B. 46 | |
| 508. |
On dividing 43628 by a certain number the quotient and the remainder are 76 and 536 respectively. Find the divisor. |
| A. | 536 |
| B. | 567 |
| C. | 765 |
| D. | 576 |
| Answer» C. 765 | |
| 509. |
Let a1 a2, ….. be integers such thata1 − a2 + a3 − a4 + ⋯ + (−1)(n - 1)an = n, for all n ≥ 1Then a51 + a52 + ….. + a1023 equals |
| A. | -1 |
| B. | 1 |
| C. | 0 |
| D. | 10 |
| Answer» C. 0 | |
| 510. |
If the product of two numbers is 2664 and their LCM is 74, then their HCF is: |
| A. | 34 |
| B. | 36 |
| C. | 64 |
| D. | 35 |
| Answer» C. 64 | |
| 511. |
If six - digit number 5x2y6z is divisible by 7, 11 and 13, then the value of (x – y + 3z) is: |
| A. | 9 |
| B. | 0 |
| C. | 7 |
| D. | 4 |
| Answer» D. 4 | |
| 512. |
Four bells ring at the intervals of 5, 6, 8, and 9 seconds respectively. All the bells ring simultaneously at some time. They will again ring simultaneously after: |
| A. | 12 minutes |
| B. | 6 minutes |
| C. | 24 minutes |
| D. | 18 minutes |
| Answer» C. 24 minutes | |
| 513. |
If 7364x is divisible by 11, what will be the value of x? |
| A. | 7 |
| B. | 6 |
| C. | 5 |
| D. | 4 |
| Answer» D. 4 | |
| 514. |
10 dozen apples 15 dozen mangoes, 20 dozen oranges were kept for sale. If 1/2, 1/3 and 1/4 fruits were sold out of each respectively, then how many fruits are left?A. 420B. 380C. 180D. 360 |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» E. | |
| 515. |
If the numerator of a fraction is increased by 40% and dominator is increased by 80%, then what fraction of the original is the new fraction? |
| A. | \(\frac{1}{2}\) |
| B. | \(\frac{7}{9}\) |
| C. | \(\frac{7}{18}\) |
| D. | 7 |
| Answer» C. \(\frac{7}{18}\) | |
| 516. |
If 1.5x = 0.04y, then the value of ((y - x) / (y + x)) is |
| A. | 73 / 77 |
| B. | 7.3 / 77 |
| C. | 730 / 77 |
| D. | 7300 / 77 |
| Answer» B. 7.3 / 77 | |
| 517. |
Find the HCF of 12.5, 0.5 and 1.25 |
| A. | 0.005 |
| B. | 0.05 |
| C. | 0.5 |
| D. | 5 |
| Answer» C. 0.5 | |
| 518. |
Consider the following statements in respect of the expression Sn = n(n + 1)/2where n is an integerI. There are exactly two values of n for which Sn = 861II. Sn = S-(n + 1) and hence for any integer m, we have two values of n for which Sn = mWhich of the above are not perfect squares? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 519. |
A number when divided by 252 leaves the remainder 34. Find the remainder when the same number is divided by 21. |
| A. | 17 |
| B. | 11 |
| C. | 22 |
| D. | 13 |
| Answer» E. | |
| 520. |
Get the product of the two numbers of which the smallest equator ratio (LCM) is 70 and the maximum consonant (HCF) is 7. |
| A. | 480 |
| B. | 490 |
| C. | 510 |
| D. | 390 |
| Answer» C. 510 | |
| 521. |
In finding the HCF of two numbers by division method,the last divisor is 174 and the quotient are 1, 7 and 2, respectively. If the sum of the two numbers is divided by 11. the remainder is: |
| A. | 2 |
| B. | 8 |
| C. | 1 |
| D. | 7 |
| Answer» B. 8 | |
| 522. |
If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y)? |
| A. | 3 |
| B. | 4 |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 523. |
How many triplets (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers? |
| A. | 4 |
| B. | 5 |
| C. | 9 |
| D. | 10 |
| Answer» E. | |
| 524. |
A sequence of three numbers is constructed such that the next number in the sequence is the square of the previous number. The sum of the three numbers in this sequence results in between 50 and 99. What is the result of the ratio of the first and second digits of the sum ( from left hand)? |
| A. | 2 |
| B. | 0.5 |
| C. | 3 |
| D. | 0.33 |
| Answer» D. 0.33 | |
| 525. |
A number when divided by 18 leaves remainder 15. What is the remainder when the same number is divided by 6? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» B. 2 | |
| 526. |
If a six-digit number 3x7z8y is divisible by 7, 11, 13, then the average value of x, y, z is: |
| A. | 9 |
| B. | 6 |
| C. | 8 |
| D. | 7 |
| Answer» C. 8 | |
| 527. |
If a + b + c + d = 2, then the maximum value of (1 + a) (1 + b) (1 + c) (1 + d) is _______. |
| A. | \(\frac{{91}}{9}\) |
| B. | \(\frac{{81}}{16}\) |
| C. | \(\frac{{63}}{22}\) |
| D. | \(\frac{{54}}{13}\) |
| Answer» C. \(\frac{{63}}{22}\) | |
| 528. |
If \(\sqrt 3 = 1.732\), then what is the value of \(\left( {\sqrt 3 - \frac{{10}}{{\sqrt 3 }} + \sqrt {27} } \right)\)? |
| A. | 1.154 |
| B. | 1.577 |
| C. | 1.464 |
| D. | 2.358 |
| Answer» B. 1.577 | |
| 529. |
A student was asked to multiply a number by \(\frac{3}{2}\) but he divided that number by \(\frac{3}{2}\) . His result was 10 less than the correct answer. The number was: |
| A. | 20 |
| B. | 15 |
| C. | 12 |
| D. | 10 |
| Answer» D. 10 | |
| 530. |
Nilesh had 1 hector land. He gave 1 acre land to his elder son while 40 gunthas to his younger son. Then how much (approx) acre land remained with Nilesh? |
| A. | 1/√2 acre |
| B. | 1 acre |
| C. | 1/2 acre |
| D. | None |
| Answer» B. 1 acre | |
| 531. |
Divide x3 - 3x2 -13x +15 by (x - 5) and find the quotient. |
| A. | x2 - 3x + 3 |
| B. | x2 - 3x + 2 |
| C. | x2 - x + 2 |
| D. | x2 + 2x – 3 |
| Answer» E. | |
| 532. |
Find the cube root of 2197? |
| A. | 11 |
| B. | 7 |
| C. | 13 |
| D. | 19 |
| Answer» D. 19 | |
| 533. |
If 2x2 + ax + b when divided by x – 3 leaves a remainder of 35, and 2x2 + bx + a when divided by x – 3 leaves a remainder of 29, then what is the value of a + b? |
| A. | -23 |
| B. | 7 |
| C. | -7 |
| D. | 23 |
| Answer» C. -7 | |
| 534. |
Mr. X has Rs. 55,600, He invested it in a scheme and got 8 times of his amount. Then he donated Rs. 57,986 to a trust. Against he invested the rest amount and got only one–third of it. Now Mr. X has an amount equal to |
| A. | Rs. 1,28,938 |
| B. | Rs. 1,29,838 |
| C. | Rs. 1,28,948 |
| D. | Rs. 1,29,848 |
| Answer» B. Rs. 1,29,838 | |
| 535. |
Find the least number which should be multiplied to 63368 to make it a perfect square. |
| A. | 1 |
| B. | 8 |
| C. | 4 |
| D. | 2 |
| Answer» E. | |
| 536. |
Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively. |
| A. | 18 |
| B. | 20 |
| C. | 14 |
| D. | 16 |
| Answer» E. | |
| 537. |
Find the greatest number of 4 digits divisible by 15, 25, 40 and 75. |
| A. | 9600 |
| B. | 9400 |
| C. | 9000 |
| D. | 9200 |
| Answer» B. 9400 | |
| 538. |
A bookseller sold 'a' number of Geography textbooks at the rate of Rs. x per book, 'a + 2' number of History textbooks at the rate of Rs. (x + 2) per book and 'a - 2' number of Mathematics textbooks at the rate of Rs. (x - 2) per book. What is his total sale in Rs. ? |
| A. | 3x + 3a |
| B. | 3ax + 8 |
| C. | 9ax |
| D. | x3a3 |
| Answer» C. 9ax | |
| 539. |
For any two non-zero rational numbers a and b, a12 b4 ÷ a4 b12 is equal to: |
| A. | a3 ÷ b3 |
| B. | a16 ÷ b16 |
| C. | a8 ÷ b8 |
| D. | a4 ÷ b4 |
| Answer» D. a4 ÷ b4 | |
| 540. |
If the sum 1! - 2! + 3! - 4! + _________ - 10! is divided by 24, then the remainder will be: |
| A. | 12 |
| B. | 21 |
| C. | 5 |
| D. | 9 |
| Answer» D. 9 | |
| 541. |
Common factor of 12a4b6, 18a6c2, 36a2b2 is |
| A. | 36a2 |
| B. | 108b2 |
| C. | 6a2b2 |
| D. | 6a2 |
| Answer» E. | |
| 542. |
Find the number of ways in which 8064 can be resolved as the product of two factors ? |
| A. | 26 |
| B. | 24 |
| C. | 22 |
| D. | 20 |
| Answer» C. 22 | |
| 543. |
Find HCF of 15, 30 and 45? |
| A. | 15 |
| B. | 5 |
| C. | 30 |
| D. | 9 |
| Answer» B. 5 | |
| 544. |
If \(\frac{{2 - \sqrt 5 }}{{2 + \sqrt 5 }} = a\) and \(\frac{{2 + \sqrt 5 }}{{2 - \sqrt 5 }} = b\) then, the value of a2 - b2 is: |
| A. | 12√5 |
| B. | -144√5 |
| C. | 62√5 |
| D. | 5√5 |
| Answer» C. 62√5 | |
| 545. |
If 635P61 is completely divisible by 9, then what is the value of P? |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 546. |
In the below series how many numbers are completely divisible by the number on immediate right653247779263548348 |
| A. | 5 |
| B. | 4 |
| C. | 6 |
| D. | 3 |
| Answer» E. | |
| 547. |
If a positive integer n is divided by 7, the remainder is 2. Which of the numbers in the options yields a remainder of 0 when it is divided by 7? |
| A. | n + 2 |
| B. | n + 1 |
| C. | n + 3 |
| D. | n + 5 |
| Answer» E. | |
| 548. |
If x is the remainder when 361284 is divided by 5 and y is the remainder when 496 is divided by 6, then what is the value of (2x – y)? |
| A. | 2 |
| B. | -4 |
| C. | -2 |
| D. | 4 |
| Answer» D. 4 | |
| 549. |
For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied? |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» B. 12 | |
| 550. |
Eight Thirteen of 65 how much more than Six Fifth of 20? |
| A. | 16 |
| B. | 18 |
| C. | 20 |
| D. | 25 |
| Answer» B. 18 | |