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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.
| 1151. |
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings is also a multiple of 11 ? |
| A. | x - 3y |
| B. | x + 4y |
| C. | x + 6y |
| D. | +y + 6 |
| Answer» B. x + 4y | |
| 1152. |
Which is not a prime number ? |
| A. | 3 |
| B. | 9 |
| C. | 1 |
| D. | 7 |
| Answer» D. 7 | |
| 1153. |
If a2+ b2+ c2= 1, what is the maximum value of abc ? |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{1}{3{\sqrt 3 }}$$ |
| C. | $\frac{2}{{\sqrt 3 }}$$ |
| Answer» C. $\frac{2}{{\sqrt 3 }}$$ | |
| 1154. |
The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, then the dividend is : |
| A. | 00 |
| B. | 80 |
| C. | 400 |
| D. | 480 |
| Answer» E. | |
| 1155. |
Which one of the following numbers is divisible by 3 ? |
| A. | 006020 |
| B. | 345678 |
| C. | 876423 |
| D. | 566003 |
| Answer» B. 345678 | |
| 1156. |
884697 - 773697 - 102479 = ? |
| A. | 251 |
| B. | 512 |
| C. | 521 |
| D. | 531 |
| E. | one of these |
| Answer» D. 531 | |
| 1157. |
Find the multiple of 11 in the following numbers. |
| A. | 12144 |
| B. | 47355 |
| C. | 69756 |
| D. | 78626 |
| Answer» E. | |
| 1158. |
414 × ? × 7 = 127512 |
| A. | 6 |
| B. | 0 |
| C. | 4 |
| D. | 8 |
| E. | one of these |
| Answer» D. 8 | |
| 1159. |
10531 + 4813 - 728 = ? × 87 |
| A. | 68 |
| B. | 72 |
| C. | 86 |
| D. | 12 |
| E. | one of these |
| Answer» B. 72 | |
| 1160. |
74844 ÷ ? = 54 × 63 |
| A. | 2 |
| B. | 4 |
| C. | 2 |
| D. | 4 |
| E. | one of these |
| Answer» B. 4 | |
| 1161. |
Consider the following statements for the sequence of numbers given below :11, 111, 1111, 11111, .....1. Each number can be expressed in the form (4m + 3), where m is a natural number.2. Some numbers are squares.Which of the above statements is/are correct ? |
| A. | only |
| B. | only |
| C. | oth 1 and 2 |
| D. | either 1 nor 2 |
| Answer» B. only | |
| 1162. |
If B > A, then which expression will have the highest value (given that A and B are positive integers) |
| A. | - B |
| B. | B |
| C. | + B |
| D. | an't say |
| Answer» E. | |
| 1163. |
38649 - 1624 - 4483 = ? |
| A. | 2425 |
| B. | 2452 |
| C. | 4522 |
| D. | 5422 |
| E. | one of these |
| Answer» F. | |
| 1164. |
Find the product of all odd natural numbers less than 5000. |
| A. | $\frac{{5000!}}{{{2500} \times 2501}}$$ |
| B. | $\frac{{5000!}}{{{2^{2500}} \times 2500!}}$$ |
| C. | $\frac{{5000!}}{{{2^{5000}}}}$$ |
| D. | one of these |
| Answer» C. $\frac{{5000!}}{{{2^{5000}}}}$$ | |
| 1165. |
1234 + 2345 - 3456 + 4567 = ? |
| A. | 590 |
| B. | 670 |
| C. | 680 |
| D. | 690 |
| E. | one of these |
| Answer» E. one of these | |
| 1166. |
The smallest three-digit prime number is : |
| A. | 01 |
| B. | 03 |
| C. | 07 |
| D. | one of these |
| Answer» B. 03 | |
| 1167. |
How many prime numbers are there between 100 to 200 ? |
| A. | 1 |
| B. | 0 |
| C. | 6 |
| D. | 1 |
| Answer» B. 0 | |
| 1168. |
If a and b are positive integers and $$\frac{(a - b)}{3.5}$$= $$\frac{4}{7}$$, then: |
| A. | > a |
| B. | < a |
| C. | = a |
| D. | $$ \geqslant $$ a |
| Answer» C. = a | |
| 1169. |
Which of the following numbers is exactly divisible by 24 ? |
| A. | 5718 |
| B. | 3810 |
| C. | 37804 |
| D. | 125736 |
| Answer» E. | |
| 1170. |
If m = - 4, n = - 2, then the value of m3 - 3m2 + 3m + 3n + 3n2+ n3 is : |
| A. | 120 |
| B. | 124 |
| C. | 126 |
| D. | 128 |
| Answer» D. 128 | |
| 1171. |
Two numbers when divided by a certain divisor leave the remainders 4375 and 2986 respectively but when the sum of two numbers is divided by the same divisor, the remainder is 2361. The divisor in question is : |
| A. | 675 |
| B. | 900 |
| C. | 000 |
| D. | one of these |
| Answer» D. one of these | |
| 1172. |
The digits indicated by * in 3422213** so that this number is divisible by 99 are : |
| A. | , 9 |
| B. | , 7 |
| C. | , 6 |
| D. | , 5 |
| Answer» B. , 7 | |
| 1173. |
(800 ÷ 64) × (1296 ÷ 36) = ? |
| A. | 20 |
| B. | 60 |
| C. | 00 |
| D. | 40 |
| E. | one of these |
| Answer» F. | |
| 1174. |
If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : |
| A. | and 0 |
| B. | and 0 |
| C. | and 5 |
| D. | and 5 |
| Answer» D. and 5 | |
| 1175. |
If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true ?I. n is oddII. n is primeIII. n is a perfect square |
| A. | only |
| B. | and II only |
| C. | and III only |
| D. | one of these |
| Answer» D. one of these | |
| 1176. |
In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ? |
| A. | > p |
| B. | + y > z |
| C. | + p > x |
| D. | nsufficient data |
| Answer» C. + p > x | |
| 1177. |
If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit's place and the thousandth's place respectively are : |
| A. | , 6 |
| B. | , 1 |
| C. | , 4 |
| D. | one of these |
| Answer» E. | |
| 1178. |
Given that (12 + 22+ 32 + ..... + 202) = 2870, the value of (22 + 42+ 62 + ... + 402 ) is : |
| A. | 870 |
| B. | 740 |
| C. | 1480 |
| D. | 8700 |
| Answer» D. 8700 | |
| 1179. |
If p is a positive fraction less than 1, then |
| A. | $\frac{1}{p}$$ is less than 1 |
| B. | $\frac{1}{p}$$ is a positive integers |
| C. | 2is less than p |
| D. | $\frac{2}{p}$$ - p is a positive number |
| Answer» E. | |
| 1180. |
The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 1181. |
If x is a rational number and y is an irrational number, then- |
| A. | oth x + y and xy are necessarily rational |
| B. | oth x + y and xy are necessarily irrational |
| C. | y is necessarily irrational, but x + y can be either rational or irrational |
| D. | + y is necessarily irrational, but xy can be either rational or irrational |
| Answer» E. | |
| 1182. |
If a + b + c = 0, (a + b) (b + c) (c + a) equals |
| A. | b (a + b) |
| B. | a + b + c)2 |
| C. | abc |
| D. | 2 + b2 + c2 |
| Answer» D. 2 + b2 + c2 | |
| 1183. |
8 + 88 + 888 + 8888 + 88888 + 888888 = ? |
| A. | 97648 |
| B. | 96748 |
| C. | 86748 |
| D. | 87648 |
| E. | one of these |
| Answer» E. one of these | |
| 1184. |
(xn - an) is divisible by (x - a) |
| A. | or all values of n |
| B. | nly for even values of n |
| C. | nly for odd values of n |
| D. | nly for prime values of n |
| Answer» B. nly for even values of n | |
| 1185. |
The number (248 - 1) is exactly divisible by two numbers between 60 and 70. The numbers are : |
| A. | 3 and 65 |
| B. | 3 and 67 |
| C. | 1 and 65 |
| D. | 5 and 67 |
| Answer» B. 3 and 67 | |
| 1186. |
If all the numbers from 501 to 700 are written, what is the total number of times the digit 6 appears ? |
| A. | 38 |
| B. | 39 |
| C. | 40 |
| D. | 41 |
| Answer» D. 41 | |
| 1187. |
(71 × 29 + 27 × 15 + 8 × 4) equals : |
| A. | 496 |
| B. | 450 |
| C. | 458 |
| D. | one of these |
| Answer» B. 450 | |
| 1188. |
12345679 × 72 is equal to : |
| A. | 8888888 |
| B. | 88888888 |
| C. | 98989898 |
| D. | 99999998 |
| Answer» C. 98989898 | |
| 1189. |
What is 394 times 113 ? |
| A. | 4402 |
| B. | 4522 |
| C. | 4632 |
| D. | 4802 |
| E. | one of these |
| Answer» C. 4632 | |
| 1190. |
6 × 66 × 666 = ? |
| A. | 63376 |
| B. | 63763 |
| C. | 63736 |
| D. | 67336 |
| E. | one of these |
| Answer» D. 67336 | |
| 1191. |
76n - 66n, where n is an integer > 0, is divisible by : |
| A. | 3 |
| B. | 27 |
| C. | 59 |
| D. | ll the above |
| Answer» E. | |
| 1192. |
8899 - 6644 - 3322 = ? - 1122 |
| A. | 5 |
| B. | 5 |
| C. | 5 |
| D. | 5 |
| E. | one of these |
| Answer» B. 5 | |
| 1193. |
Let x be the product of two numbers 3, 659, 893, 456, 789, 325, 678 and 342, 973, 489, 379, 256. The number of digits in x is : |
| A. | 2 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 1194. |
What is 786 times 964 ? |
| A. | 57704 |
| B. | 54164 |
| C. | 59276 |
| D. | 49844 |
| E. | one of these |
| Answer» B. 54164 | |
| 1195. |
7 is added to a certain number; the sum is multiplied by 5 ; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ? |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» B. 0 | |
| 1196. |
If the sum of two numbers is 14 and their difference is 10. Find the product of these two numbers. |
| A. | 4 |
| B. | 2 |
| C. | 0 |
| D. | 8 |
| Answer» B. 2 | |
| 1197. |
The greatest number by which the product of three consecutive multiples of 3 is always divisible is : |
| A. | 4 |
| B. | 1 |
| C. | 62 |
| D. | 43 |
| Answer» D. 43 | |
| 1198. |
If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. |
| A. | 8 |
| B. | 0 |
| C. | 4 |
| D. | 2 |
| Answer» D. 2 | |
| 1199. |
The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 5 |
| Answer» D. 5 | |
| 1200. |
The remainder obtained when any prime number greater than 6 is divided by 6 must be : |
| A. | ither 1 or 2 |
| B. | ither 1 or 3 |
| C. | ither 1 or 5 |
| D. | ither 3 or 5 |
| Answer» D. ither 3 or 5 | |