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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.
| 951. |
Given that \((1^2 + 2^2 + 3^2 + ...+10^2)=385\), the value of \((2^2 +4^2 +6^2 + ...+ 20^2)\) is equal to |
| A. | 770 |
| B. | 1155 |
| C. | 1540 |
| D. | (385)2 |
| Answer» D. (385)2 | |
| 952. |
If 7 divided a positive integer n, the remainder is 2. Which of the following numbers gives a remainder of 0 when divided by 7? |
| A. | n + 1 |
| B. | n + 2 |
| C. | n - 5 |
| D. | n + 5 |
| Answer» E. | |
| 953. |
How many ways 378 mobile phones be shared equally in the students present in the classroom? |
| A. | 18 |
| B. | 16 |
| C. | 14 |
| D. | 12 |
| Answer» C. 14 | |
| 954. |
Find the number of factors of 7056 |
| A. | 30 |
| B. | 40 |
| C. | 35 |
| D. | 45 |
| Answer» E. | |
| 955. |
If the sum of the first n terms of an arithmetic progression is 7n2 + 2n, then the sum of its third and fifth terms is: |
| A. | 75 |
| B. | 120 |
| C. | 102 |
| D. | 12 |
| Answer» D. 12 | |
| 956. |
Consider the following statements in respect of three 3-digit numbers XYZ, YZX and ZXY:1) The sum of the numbers is divisible by (X + Y + Z)2) The sum of the numbers is divisible by 111Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» D. Neither 1 nor 2 | |
| 957. |
A man buys 7 bats and 6 balls for Rs. 3,800. Later, he buys 3 bats and 5 balls for Rs. 1,750. What is the cost (in Rs.) of a bat and a ball separately? |
| A. | Bat: 510, Ball: 40 |
| B. | Bat: 480, Ball: 70 |
| C. | Bat: 500, Ball: 50 |
| D. | Bat: 490, Ball: 60 |
| Answer» D. Bat: 490, Ball: 60 | |
| 958. |
A crate of mangoes contain one bruised mango for every 30 mangoes in the crate. If 3 out of every 4 bruised mangoes are considered unsalable, and there are 12 unsalable mangoes in the crate, how many mangoes are there in the crate? |
| A. | 480 |
| B. | 500 |
| C. | 420 |
| D. | 520 |
| Answer» B. 500 | |
| 959. |
Mensah walked \(\dfrac{1}{3}\) of a km yesterday and \(\dfrac{3}{4}\) of a km today. How many km has mansha walked in total? |
| A. | \(\dfrac{13}{12}\) |
| B. | \(\dfrac{4}{7}\) |
| C. | \(\dfrac{3}{12}\) |
| D. | None of these |
| Answer» B. \(\dfrac{4}{7}\) | |
| 960. |
HCF of 88 and 220 is: |
| A. | 8 |
| B. | 22 |
| C. | 44 |
| D. | 11 |
| Answer» D. 11 | |
| 961. |
Let x be the greatest number by which when 152, 277 and 427 are divided, then the remainder in each case is y. The value of (x – y) is: |
| A. | 21 |
| B. | 23 |
| C. | 27 |
| D. | 29 |
| Answer» C. 27 | |
| 962. |
Dividing a number by 6 and 9 gives the remainder as a and b respectively. How many different values can |a – b| have? |
| A. | 3 |
| B. | 2 |
| C. | 4 |
| D. | 1 |
| Answer» B. 2 | |
| 963. |
For what value of N, 34N will be a perfect cube, where 34 N is a 3 digit number? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 964. |
How many natural numbers less than 1000 are divisible by 5 or 7 but NOT by 35? |
| A. | 313 |
| B. | 341 |
| C. | 285 |
| D. | 243 |
| Answer» D. 243 | |
| 965. |
In an office, there are 216 tables and 264 chairs. If 1/6 of the tables and 1/4 of the chairs are broken then how many people can work in the office if each person requires one table and one chair? |
| A. | 186 |
| B. | 100 |
| C. | 180 |
| D. | 198 |
| Answer» D. 198 | |
| 966. |
If the six digit number 6x2904 is divisible by 88, then the value of x is∶ |
| A. | 7 |
| B. | 8 |
| C. | 6 |
| D. | 5 |
| Answer» D. 5 | |
| 967. |
Find the positive number which when decreased by 20 is equal to 2925 times the reciprocal of the number. |
| A. | 35 |
| B. | 65 |
| C. | 55 |
| D. | 45 |
| Answer» C. 55 | |
| 968. |
How many numbers are there from 5 to 125 which are divisible by both 3 and 7? |
| A. | 6 |
| B. | 4 |
| C. | 2 |
| D. | 5 |
| Answer» E. | |
| 969. |
Let \(a=\dfrac{11}{13}, b = \dfrac{13}{14}\) and \(c=\dfrac{15}{17}\) be three fractions. Which of the following is true? |
| A. | \(\dfrac{11}{13} < \dfrac{15}{17} < \dfrac{13}{14}\) |
| B. | \(\dfrac{11}{13} < \dfrac{13}{14} < \dfrac{15}{17}\) |
| C. | \(\dfrac{13}{14} < \dfrac{11}{13} < \dfrac{15}{17}\) |
| D. | \(\dfrac{15}{17} < \dfrac{13}{14} < \dfrac{11}{13}\) |
| Answer» B. \(\dfrac{11}{13} < \dfrac{13}{14} < \dfrac{15}{17}\) | |
| 970. |
If x and y are negative, then which of the following statements is/are always true ?I. x + y is positive.II. xy is positive.III. x - y is positive. |
| A. | lll only |
| B. | II only |
| C. | I only |
| D. | i and III only |
| Answer» C. I only | |
| 971. |
Find out which of the following sets form co-prime numbers. |
| A. | (12, 7) |
| B. | (21, 42) |
| C. | (3, 9) |
| D. | (43, 129) |
| Answer» B. (21, 42) | |
| 972. |
If the numerator of a fraction is increased by 10% and its denominator is decreased by 20%, then the value of the fraction becomes 55/48. Which is the original fraction? |
| A. | 61/39 |
| B. | 62/39 |
| C. | 13/17 |
| D. | 25/30 |
| Answer» E. | |
| 973. |
I am a 2-digit number.The digit in the tens place and the digit in units place are consecutive prime numbers.The sum of digits is multiple of 3 and 4.The number is |
| A. | 57 |
| B. | 23 |
| C. | 35 |
| D. | 13 |
| Answer» B. 23 | |
| 974. |
If the difference and the product of two numbers are 5 and 36 respectively, then their reciprocals differ by |
| A. | 5/36 |
| B. | 31/36 |
| C. | 5/9 |
| D. | 9/5 |
| Answer» B. 31/36 | |
| 975. |
3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes, respectively. Since they start together, when will they meet again (in minutes) at the starting position? |
| A. | 450 |
| B. | 945 |
| C. | 600 |
| D. | 360 |
| Answer» C. 600 | |
| 976. |
For what value of N, 270N will be a perfect square, where 270N is a 4 digit number?? |
| A. | 1 |
| B. | 6 |
| C. | 4 |
| D. | 9 |
| Answer» D. 9 | |
| 977. |
2122 + 462 + 842 + 464 + 2130 is divisible by which one of the following integers? |
| A. | 3 |
| B. | 5 |
| C. | 7 |
| D. | 11 |
| Answer» E. | |
| 978. |
A number is as much greater than 36 as is less than 86. Find the number. |
| A. | 61 |
| B. | 71 |
| C. | 81 |
| D. | 51 |
| Answer» B. 71 | |
| 979. |
A frog was at the bottom of an 80 m deep well. It attempted to come out of it by jumping. In each jump, it covered 1.15 m but slipped down by 0.75 m. The number of jumps after which it would be out of the well is: |
| A. | 200 |
| B. | 198 |
| C. | 201 |
| D. | 199 |
| Answer» E. | |
| 980. |
If the 10-digit number 897359y7x2 is divisible by 72, then what is the value of (3x – y), for the possible maximum value of x and y? |
| A. | 25 |
| B. | 23 |
| C. | 21 |
| D. | 22 |
| Answer» C. 21 | |
| 981. |
If 1433 × 1433 × 1422 × 1425 is divided by 12, then what is the remainder? |
| A. | 9 |
| B. | 6 |
| C. | 8 |
| D. | 3 |
| Answer» C. 8 | |
| 982. |
Let p, q, r and s be natural numbers such thatp - 2016 = q + 2017 = r - 2018 = s + 2019Which one of the following is the largest natural number? |
| A. | p |
| B. | q |
| C. | r |
| D. | s |
| Answer» D. s | |
| 983. |
1 Metre3 = ____ Litre |
| A. | 10000 |
| B. | 1000 |
| C. | 100 |
| D. | 500 |
| Answer» C. 100 | |
| 984. |
In a division question, the factor is ten times the quotient and five times the remainder. If the remainder is 46, what is the dividend? |
| A. | 4236 |
| B. | 4306 |
| C. | 4336 |
| D. | 5336 |
| Answer» E. | |
| 985. |
By what number should we multiply \(-\frac{1}{5}\) so that the product may be \(\frac{9}{25}\)? |
| A. | \(\frac{5}{9}\) |
| B. | \(\frac{-5}{9}\) |
| C. | \(\frac{-9}{5}\) |
| D. | \(\frac{9}{5}\) |
| Answer» D. \(\frac{9}{5}\) | |
| 986. |
If the 5-digit number 535ab is divisible by 3, 7 and 11 then what is the value of (a2 - b2 + ab)? |
| A. | 83 |
| B. | 89 |
| C. | 95 |
| D. | 77 |
| Answer» D. 77 | |
| 987. |
A number M is divisible by 25. If (M + 5)(M + 1) is divided by 25, then what will be the remainder? |
| A. | 5 |
| B. | 6 |
| C. | 1 |
| D. | 3 |
| Answer» B. 6 | |
| 988. |
A natural number, when divided by 4, 5, 6, or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers? |
| A. | 843 |
| B. | 213 |
| C. | 423 |
| D. | 63 |
| Answer» D. 63 | |
| 989. |
How many multiples of the number 4840 are there? |
| A. | 25 |
| B. | 26 |
| C. | 24 |
| D. | 27 |
| Answer» D. 27 | |
| 990. |
A certain number is 4 times the sum of the digits. If 18 is added to the number, the digits get interchanged, then the new number is' |
| A. | 42 |
| B. | 24 |
| C. | 36 |
| D. | None of these |
| Answer» B. 24 | |
| 991. |
If the 8 digit number 136p5785 is divisible by 15, then find the least possible value of P. |
| A. | 1 |
| B. | 3 |
| C. | 4 |
| D. | 2 |
| Answer» B. 3 | |
| 992. |
one mile distance is equal to how many kilometers? |
| A. | 1.6 Km |
| B. | 2.6 Km |
| C. | 1.5 Km |
| D. | 2.5 Km |
| Answer» B. 2.6 Km | |
| 993. |
If x is a positive quantity such that 2x = 3log52, then x is equal to |
| A. | \(1+log_5\frac{5}{3}\) |
| B. | logs9 |
| C. | logs8 |
| D. | \(1+log_3\frac{3}{5}\) |
| Answer» B. logs9 | |
| 994. |
Abdul prepared 42 litres of medicine and filled it in bottles of 280 ml each find how many bottles would be required?A. 15B. 1500C. 150D. 300 |
| A. | A |
| B. | C |
| C. | D |
| D. | B |
| Answer» C. D | |
| 995. |
For any two real numbers a and b, \(\sqrt {{{\left( {a - b} \right)}^2}} + \sqrt {{{\left( {b - a} \right)}^2}} \) is |
| A. | always zero |
| B. | never zero |
| C. | positive only if a ≠ b |
| D. | positive if and only if a > b |
| Answer» D. positive if and only if a > b | |
| 996. |
Arrange the fractions \(\frac{3}{4},\;\frac{5}{{12}},\frac{{13}}{{16}},\frac{{16}}{{29}},\frac{3}{8}\) in the descending order of their magnitude. |
| A. | \(\frac{3}{4} > \frac{3}{8} > \frac{{13}}{{16}} > \frac{{16}}{{29}} > \frac{5}{{12}}\) |
| B. | \(\frac{3}{8} > \frac{5}{{12}} > \frac{{16}}{{29}} > \frac{3}{4} > \frac{{13}}{{16}}\) |
| C. | \(\frac{{13}}{{16}} > \frac{3}{4} > \frac{{16}}{{29}} > \frac{5}{{12}} > \frac{3}{8}\) |
| D. | \(\frac{{13}}{{16}} > \frac{{16}}{{29}} > \frac{3}{4} > \frac{5}{{12}} > \frac{3}{8}\) |
| Answer» D. \(\frac{{13}}{{16}} > \frac{{16}}{{29}} > \frac{3}{4} > \frac{5}{{12}} > \frac{3}{8}\) | |
| 997. |
A number when divided by 10, 9 and 8 separately leaves remainders 9, 8 and 7 respectively. What is the least of such numbers? |
| A. | 1359 |
| B. | 359 |
| C. | 719 |
| D. | 353 |
| Answer» C. 719 | |
| 998. |
In a two digit number, the sum of the digits of the number is 18 less than the number. What is the digit in the tens place of the number? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» C. 1 | |
| 999. |
A boy added all natural numbers from 1 to 20. However he added one number twice, due to which the sum becomes 215. What is the number which he added twice? |
| A. | 5 |
| B. | 7 |
| C. | 11 |
| D. | 15 |
| Answer» B. 7 | |
| 1000. |
Match List I with List IIList IList II Types of numbers Examples A. Natural numbers I. {.., -2, -1, 0, 1, 2,...} B. Whole numbers II. {1, 2, 3, 4, ...} C. Integers III. {0, 1, 2, 3, ...} D. Prime numbers IV. {2, 3, 5, 7, 11, 13,...} Choose the correct answer from the options given below: |
| A. | A - III, B - I, C - IV, D - II |
| B. | A - II, B - III, C - I, D - IV |
| C. | A - I, B - II, C - IV, D - III |
| D. | A - III, B - II, C - I, D - IV |
| Answer» C. A - I, B - II, C - IV, D - III | |