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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.
| 1001. |
Given \(\dfrac{\begin{matrix} 7 \ y \\\ \times6 \end{matrix}}{yyy}\)Then the value of y is— |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 2 |
| Answer» D. 2 | |
| 1002. |
Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and D? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 1003. |
A number ‘m’ when multiplied by 12 gives the 4 digit number 20A2. What is A? |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 1 |
| Answer» B. 7 | |
| 1004. |
Arrange the following in ascending order: \(\frac{1}{2},\frac{4}{5},\frac{3}{4},\frac{2}{5}\) |
| A. | \(\frac{2}{5},\frac{1}{2},\frac{3}{4},\frac{4}{5}\) |
| B. | \(\frac{2}{5},\frac{3}{4},\frac{1}{2},\frac{4}{5}\) |
| C. | \(\frac{2}{5},\frac{1}{2},\frac{4}{5},\frac{3}{4}\) |
| D. | \(\frac{4}{5},\frac{1}{2},\frac{3}{4},\frac{2}{5}\) |
| Answer» B. \(\frac{2}{5},\frac{3}{4},\frac{1}{2},\frac{4}{5}\) | |
| 1005. |
Find the greatest possible length which can be used to measure 2 m, 75 cm, and 8 m, 65 cm. |
| A. | 35 cm |
| B. | 15 cm |
| C. | 5 cm |
| D. | 25 cm |
| Answer» D. 25 cm | |
| 1006. |
A number when divided by any of the numbers 4, 5, 6, 7 gives 2 as the remainder in each case. If that number lies between 300-500, then the number is |
| A. | 362 |
| B. | 422 |
| C. | 446 |
| D. | 486 |
| Answer» C. 446 | |
| 1007. |
In finding the HCF of two numbers by division method, the last divisor is 17 and the quotients are 1, 11 and 2, respectively. What is sum of the two numbers ? |
| A. | 867 |
| B. | 901 |
| C. | 816 |
| D. | 833 |
| Answer» D. 833 | |
| 1008. |
How many factors of 60 are prime numbers? |
| A. | 4 |
| B. | 5 |
| C. | 3 |
| D. | 2 |
| Answer» D. 2 | |
| 1009. |
An oil merchant has 3 varieties of oil of volumes 432, 594 and 702 litres respectively. The number of cans of equal size that would be required to fill the oil separately is∶ |
| A. | 13, 15, 17 |
| B. | 8, 11, 13 |
| C. | 8, 13, 15 |
| D. | 6, 9, 11 |
| Answer» C. 8, 13, 15 | |
| 1010. |
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively |
| A. | 125 |
| B. | 127 |
| C. | 129 |
| D. | 137 |
| Answer» C. 129 | |
| 1011. |
If \( \sqrt{2}\) = 1.4, then the value of \( \sqrt{50} - \sqrt{18}\) is : |
| A. | 2 |
| B. | 2.8 |
| C. | 3 |
| D. | 3.4 |
| Answer» C. 3 | |
| 1012. |
If (x + k) is the HCF of x2 + 5x + 6 and x2 + 8x + 15, then what is the value of k? |
| A. | 5 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» C. 2 | |
| 1013. |
A, B and C competed in an ice cream eating contest. A ate 6 scoop in the same time as B ate 4 scoop and C ate 5 scoops. Now A ate 18 scoops in half an hour. How many scoops in total did they eat together in half an hour? |
| A. | 30 |
| B. | 27 |
| C. | 33 |
| D. | 45 |
| Answer» E. | |
| 1014. |
If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is |
| A. | 59 |
| B. | 79 |
| C. | 56 |
| D. | 46 |
| Answer» E. | |
| 1015. |
N is a number divisible by 17. If (N + 3)(N + 4) is divided by 17, then what will be the remainder? |
| A. | 9 |
| B. | 12 |
| C. | 10 |
| D. | 15 |
| Answer» C. 10 | |
| 1016. |
Find the HCF & LCM of 16, 24? |
| A. | 8, 48 |
| B. | 4, 12 |
| C. | 2, 24 |
| D. | 4, 48 |
| Answer» B. 4, 12 | |
| 1017. |
If x and y are even numbers, then which of the following is an odd number? |
| A. | xy + 1 |
| B. | x + y + xy |
| C. | x + y + 2 |
| D. | 3x + y |
| Answer» B. x + y + xy | |
| 1018. |
Number 64 and 36 have the property that they are divisible by their unit's digit. The number of numbers between 20 and 60 such that this property is satisfied by them is: |
| A. | 19 |
| B. | 21 |
| C. | 20 |
| D. | 17 |
| Answer» E. | |
| 1019. |
How many factors of 1296 are perfect squares? |
| A. | 8 |
| B. | 9 |
| C. | 12 |
| D. | 10 |
| Answer» C. 12 | |
| 1020. |
Let f(x) = 2x - 5 and g(x) = 7 - 2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if |
| A. | \(\frac{5}{2}<\frac{7}{2}\)< span> |
| B. | \(x \le \frac{5}{2}\;or \;x \ge \frac{7}{2}\) |
| C. | \(x < \frac{5}{2}\;or \;x \ge \frac{7}{2}\) |
| D. | \(\frac{5}{2}\le x \le \frac{7}{2}\) |
| Answer» E. | |
| 1021. |
Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.A. 700, 1000, 2040B. 340, 1360, 2040C. 680, 1020, 2040D. 500, 1200, 2040 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» E. | |
| 1022. |
On dividing 4150 by a certain number, the quotient is 55 and the remainder is 25. The divisor is: |
| A. | 80 |
| B. | 75 |
| C. | 65 |
| D. | 70 |
| Answer» C. 65 | |
| 1023. |
A number 72X1 is divisible by 11. Find the number that can replace X. |
| A. | 4 |
| B. | 7 |
| C. | 6 |
| D. | 5 |
| Answer» C. 6 | |
| 1024. |
If x2 + ax + b, when divided by x - 5, leaves a remainder of 34 and x2 + bx + a, when divided by x - 5, leaves a remainder of 52, then a + b = ? |
| A. | 6 |
| B. | -6 |
| C. | 3 |
| D. | -3 |
| Answer» B. -6 | |
| 1025. |
If an 8-digit number 30x0867y is divisible by 88, then what is the value of (3x + y)? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» C. 6 | |
| 1026. |
If (x - k) is the HCF of x2 + ax + b and x2 + cx + d, then what is the value of k? |
| A. | \(\frac{{d - b}}{{c - a}}\) |
| B. | \(\frac{{d - b}}{{a - c}}\) |
| C. | \(\frac{{d + b}}{{c + a}}\) |
| D. | \(\frac{{d - b}}{{c + a}}\) |
| Answer» C. \(\frac{{d + b}}{{c + a}}\) | |
| 1027. |
Find the HCF of 513, 1107 and 783. |
| A. | 19 |
| B. | 22 |
| C. | 27 |
| D. | 21 |
| Answer» D. 21 | |
| 1028. |
For a / an _____, the decimal representation is non-terminating, non-repeating. Fill in the blank. |
| A. | whole number |
| B. | natural number |
| C. | irrational number |
| D. | rational number |
| Answer» D. rational number | |
| 1029. |
If √2 = 1.4, the value of \(\sqrt {98}\) is: |
| A. | 8.9 |
| B. | 9.8 |
| C. | 0.98 |
| D. | \(\frac 1 {9.8}\) |
| Answer» C. 0.98 | |
| 1030. |
If P713 is divisible by 11, find the value of the smallest natural number P? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 9 |
| Answer» E. | |
| 1031. |
If x + 3 ≤ 4x + 4 and 3(4 - x) ≥ 2x - 2, then x can take which of the following values? |
| A. | 1 |
| B. | 3 |
| C. | -1 |
| D. | -3 |
| Answer» B. 3 | |
| 1032. |
Five students weighed themselves in pairs in all possible ways. The weights were 90 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 97 kg, 98 kg, 100 kg, and 101 kg. What was the total weight of the five boys? |
| A. | 239 kg |
| B. | 229 kg |
| C. | 230 kg |
| D. | 240 kg |
| Answer» B. 229 kg | |
| 1033. |
Equal square tiles are to be fixed on a wall, 3 m 50 cm in length and 4 m in height. How many largest possible tiles are needed to cover the wall? |
| A. | 63 |
| B. | 45 |
| C. | 56 |
| D. | 54 |
| Answer» D. 54 | |
| 1034. |
On dividing a given number by 899, we get 63 as remainder. If the same number is divided by 29, what will be the remainder? |
| A. | 3 |
| B. | 1 |
| C. | 5 |
| D. | 0 |
| Answer» D. 0 | |
| 1035. |
A pearl set broke, with one-eighth of pearls failing onto the floor, a fourth going under a chair, two-fifths staying on the sofa and eighteen pieces staying on the strand. How many pearls fell on the floor? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 1036. |
Apply Chinese Remainder Theorem to solveX = 3 (mod 5), X = 5 (mod 7). The common solution is: |
| A. | X = 33 (mod 35) |
| B. | X = 31 (mod 5) |
| C. | X = 27 (mod 35) |
| D. | X = 28 (mod 35) |
| Answer» B. X = 31 (mod 5) | |
| 1037. |
Four numbers from which of the following sets add up to 57? |
| A. | {12,15,10,23} |
| B. | {12,15,10,15} |
| C. | {2,5,10,15} |
| D. | {15,14,9,19} |
| Answer» E. | |
| 1038. |
Given that x2018y2017 = 1/2 and x2016y2019 = 8, the value of x2 + y3 is |
| A. | 33/4 |
| B. | 37/4 |
| C. | 35/4 |
| D. | 31/4 |
| Answer» B. 37/4 | |
| 1039. |
3/4 of 1/2 of a number is 120. What is the number? |
| A. | 256 |
| B. | 250 |
| C. | 320 |
| D. | 160 |
| Answer» D. 160 | |
| 1040. |
In a competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, 75 students for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics? |
| A. | 90 |
| B. | 100 |
| C. | 150 |
| D. | 160 |
| Answer» E. | |
| 1041. |
If f(x + y) = f(x) f(y) and f(5) = 4, then f(10) - f (-10) is equal to |
| A. | 14.0625 |
| B. | 3 |
| C. | 0 |
| D. | 15.9375 |
| Answer» E. | |
| 1042. |
If \(\frac{{log8}}{{log2}} = x,\) then x is equal to - |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 28 |
| Answer» C. 4 | |
| 1043. |
Find the smallest integer whose cube is equal to itself. |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | 2 |
| Answer» D. 2 | |
| 1044. |
P(x) = x2 - 2x + 3 P(1) = ? |
| A. | 1 |
| B. | 2 |
| C. | -2 |
| D. | -1 |
| Answer» C. -2 | |
| 1045. |
Find the greatest number that will divide 47, 95, and 187 so as to leave the same remainder in each case. |
| A. | 7 |
| B. | 13 |
| C. | 9 |
| D. | 4 |
| Answer» E. | |
| 1046. |
Consider the following statements in respect of positive odd integers x and y:1. x2 + y2 is even integer.2. x2 + y2 is divisible by 4.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 | |
| 1047. |
In a five digit number, the digit at ten’s place is 8, digit at units place is one-fourth of the digit at ten’s place, the digit at thousands place is 0, digit at hundreds place is twice that of units place and the digit at ten thousand place is thrice the digit at unit’s place. What is the number? |
| A. | 64082 |
| B. | 64028 |
| C. | 46028 |
| D. | 60482 |
| Answer» E. | |
| 1048. |
In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of Rs. 2 by one student only, the total collection is Rs. 443. Then how many students are there in the class? |
| A. | 12 |
| B. | 21 |
| C. | 43 |
| D. | 45 |
| Answer» C. 43 | |
| 1049. |
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amount is Rs. 59.29, the number of the members in the group is |
| A. | 57 |
| B. | 67 |
| C. | 77 |
| D. | 87 |
| Answer» D. 87 | |
| 1050. |
\(\log_b a\times \log_c b \times \log_a c\) is equal to |
| A. | log abc |
| B. | abc |
| C. | \(\dfrac{1}{abc}\) |
| D. | 1 |
| Answer» E. | |