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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.
| 201. |
By what number \(\dfrac{2^{-6}}{3}\) be divided that the quotient is equals to \(\dfrac{3^{-6}}{2}\) |
| A. | \(\left(\dfrac{3}{2} \right)^5\) |
| B. | \(\left(\dfrac{2}{3} \right)^6\) |
| C. | \(\left(\dfrac{2}{3} \right)^{12}\) |
| D. | \(\left(\dfrac{3}{2} \right)^{12}\) |
| Answer» B. \(\left(\dfrac{2}{3} \right)^6\) | |
| 202. |
For what value of B, 2B06 is completely divisible by 9? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 203. |
How many two digit prime numbers are there between 10 to 100 which remains prime numbers when the order of their digits is reversed? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 12 |
| Answer» C. 10 | |
| 204. |
How many numbers from 1 to 1000 are there which are NOT divisible by any of the digits 2, 3 and 5? |
| A. | 166 |
| B. | 266 |
| C. | 357 |
| D. | 366 |
| Answer» B. 266 | |
| 205. |
In a division sum, the divisor ‘d’ is 10 times the quotient ‘q’ and 5 times the remainder ‘r’. If r = 46, the dividend will be: |
| A. | 5042 |
| B. | 5328 |
| C. | 5336 |
| D. | 4276 |
| Answer» D. 4276 | |
| 206. |
A number when divided by 6 leaves a remainder 4. When the square of the number is divided by 6 the remainder is ____. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 207. |
How many of the integers 1, 2, ......, 120, are divisible by none of 2, 5 and 7? |
| A. | 40 |
| B. | 42 |
| C. | 41 |
| D. | 43 |
| Answer» D. 43 | |
| 208. |
If the sum of three consecutive numbers in a geometric progression is 26 and the sum of their squares is 364, then the product of those numbers is |
| A. | 216 |
| B. | 125 |
| C. | 343 |
| D. | 512 |
| Answer» B. 125 | |
| 209. |
For what value of N, 23N7 is completely divisible by 9? |
| A. | 5 |
| B. | 7 |
| C. | 6 |
| D. | 4 |
| Answer» D. 4 | |
| 210. |
Decimal equivalent of Binary No. 100 is: |
| A. | 100 |
| B. | 1 |
| C. | 4 |
| D. | 16 |
| Answer» D. 16 | |
| 211. |
How many factors of 25 × 36 are perfect squares? |
| A. | 9 |
| B. | 12 |
| C. | 11 |
| D. | 17 |
| Answer» C. 11 | |
| 212. |
A number divides 12288, 28200 and 44333 so as to leave the same remainder in each case. What is that number? |
| A. | 272 |
| B. | 232 |
| C. | 221 |
| D. | 120 |
| Answer» D. 120 | |
| 213. |
______ is the product of the lowest powers of each of the prime factors that commonly occurs in both the number.I. Highest common factorII. Least common multiple |
| A. | Both I and II |
| B. | Only II |
| C. | Only I |
| D. | Neither I nor II |
| Answer» D. Neither I nor II | |
| 214. |
A and B start walking together from a point. Their steps measure 72 cm and 84 cm respectively. What is the minimum distance they should walk so that each takes exact number of steps? |
| A. | 2.7 m |
| B. | 3.54 m |
| C. | 6.3 m |
| D. | 5.04 m |
| Answer» E. | |
| 215. |
If a 9-digit number 32x4115y2 is divisible by 88, then the value of (4x – y) for the smallest possible value of y is: |
| A. | 20 |
| B. | -1 |
| C. | 31 |
| D. | 11 |
| Answer» D. 11 | |
| 216. |
In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is |
| A. | 35 |
| B. | 45 |
| C. | 50 |
| D. | 55 |
| Answer» D. 55 | |
| 217. |
In calculating HCF of two numbers, the last divisor is 49 and the quotients are 17, 3 and 2 respectively. The difference between the two numbers is∶ |
| A. | 5,486 |
| B. | 5,529 |
| C. | 5,586 |
| D. | 5,929 |
| Answer» D. 5,929 | |
| 218. |
In a two - digit number, the unit's digit exceeds its ten's digit by 4. If the product of the given number and the sum of its digits is 370, then what is the number? |
| A. | 62 |
| B. | 37 |
| C. | 26 |
| D. | 73 |
| Answer» C. 26 | |
| 219. |
In 87659_21 what is the least number that can be filled in blank to make the number divisible by 11. |
| A. | 7 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» C. 3 | |
| 220. |
Find the total prime factors in the product of { (8)10 × (9)7 × 78 }.A. 45B. 54C. 52D. 65 |
| A. | B |
| B. | A |
| C. | D |
| D. | C |
| Answer» E. | |
| 221. |
A number consist of 3 digits whose sum is 14. The middle digit is equal to the sum of the other two digits. The number will increase by 99 if its digits are reversed. The number is: |
| A. | 374 |
| B. | 275 |
| C. | 572 |
| D. | 473 |
| Answer» B. 275 | |
| 222. |
How many numbers less than 320 are multiples of both 5 and 3? |
| A. | 29 |
| B. | 21 |
| C. | 20 |
| D. | 28 |
| Answer» C. 20 | |
| 223. |
How many numbers between 500 and 1000 are divisible by 13? |
| A. | 36 |
| B. | 37 |
| C. | 38 |
| D. | 39 |
| Answer» D. 39 | |
| 224. |
If a * b = ab + b - a, what is the value of c such that c * (2 * 5) = 97? |
| A. | 8 |
| B. | 7 |
| C. | 3 |
| D. | 91 |
| Answer» C. 3 | |
| 225. |
√2 is a number |
| A. | rational |
| B. | irrational |
| C. | natural |
| D. | integer |
| Answer» C. natural | |
| 226. |
How many times digit '0' appears in the number from 1 to 100? |
| A. | 11 |
| B. | 17 |
| C. | 10 |
| D. | 13 |
| Answer» B. 17 | |
| 227. |
For x > 0, what is the minimum value of \(x + \frac{{x\; + \;2}}{{2x}}?\) |
| A. | 1 |
| B. | 2 |
| C. | \(2\frac{1}{2}\) |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 228. |
Among 100 students, x1 have birthdays in January, x2 have birthday in February, and so on. If x0 = max(x1, x2 ......... x12), then the smallest possible value of x0 is |
| A. | 12 |
| B. | 9 |
| C. | 8 |
| D. | 10 |
| Answer» C. 8 | |
| 229. |
If X is between -3 and -1, and Y is between -1 and 1, then X2 - Y2 is in between which of the following? |
| A. | -9 and 1 |
| B. | -9 and -1 |
| C. | 0 and 8 |
| D. | 0 and 9 |
| Answer» E. | |
| 230. |
(m + n) (___) = 5 ma + mb + 5na + nb |
| A. | 5a + b |
| B. | 5a - b |
| C. | a + 5b |
| D. | a - 5b |
| Answer» B. 5a - b | |
| 231. |
A construction company purchases cement at the rate of Rs. 1,000 per tonne and stores it at Rs. 100 per tonne. It is perceived that in the coming month, the price of cement will rise by Rs. 2,000 per tonne. The company already has 500 tonnes of cement. If the cement usage during a month is 1,000 tonnes, how much cement should the company purchase this month to minimize its expense in the next one? |
| A. | 500 tones |
| B. | 1,000 tones |
| C. | 2,000 tones |
| D. | 1,500 tones |
| Answer» E. | |
| 232. |
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits are reversed. The number is: |
| A. | 32 |
| B. | 71 |
| C. | 53 |
| D. | 80 |
| Answer» D. 80 | |
| 233. |
If LCM and HCF of the two numbers are given by 1105 and 5 respectively. One of the numbers is 65. Find the second number. |
| A. | 85 |
| B. | 81 |
| C. | 95 |
| D. | 72 |
| Answer» B. 81 | |
| 234. |
How many natural numbers are there between √261 and √45109? |
| A. | 195 |
| B. | 197 |
| C. | 198 |
| D. | 196 |
| Answer» E. | |
| 235. |
23 + 3 + 33 + 333 + 3.33 = ? |
| A. | 395.33 |
| B. | 372.33 |
| C. | 702 |
| D. | 702.33 |
| Answer» B. 372.33 | |
| 236. |
If the six-digit number 479xyz is exactly divisible by 7, 11 and 13, then {(y + z) ÷ x} is equal to: |
| A. | 11/9 |
| B. | 4 |
| C. | 13/7 |
| D. | 7/13 |
| Answer» C. 13/7 | |
| 237. |
Find the biggest 4-digit number which is a perfect square. |
| A. | 9999 |
| B. | 1899 |
| C. | 9000 |
| D. | 9801 |
| Answer» E. | |
| 238. |
Find HCF of 12, 15, 18 and 21? |
| A. | 3 |
| B. | 8 |
| C. | 6 |
| D. | 12 |
| Answer» B. 8 | |
| 239. |
If R and S are different integers both divisible by 5, then which of the following is not necessarily true? |
| A. | R - S is divisible by 5 |
| B. | R + S is divisible by 10 |
| C. | R × S is divisible by 25 |
| D. | R2 + S2 is divisible by 5 |
| Answer» C. R × S is divisible by 25 | |
| 240. |
Kumar used to eat 30 samosas in a month when the price of each samosa was Rs. 12. When the price of samosa increased to Rs. 15 per piece, he eats only 20 samosas a month. What is the price elasticity of demand for samosa by Kumar? |
| A. | 1.33 |
| B. | 1.00 |
| C. | 0.75 |
| D. | 0.08 |
| Answer» B. 1.00 | |
| 241. |
If A = 6, B = 3, C = 2 then A2 - B2 + C3 =? |
| A. | 50 |
| B. | 35 |
| C. | 53 |
| D. | 51 |
| Answer» C. 53 | |
| 242. |
For which value of k 5, 4 + k and 6 area in AP? |
| A. | 3/2 |
| B. | 1/2 |
| C. | 1/3 |
| D. | 1 |
| Answer» B. 1/2 | |
| 243. |
If q is the square of a natural number p, then p is— |
| A. | the square of q |
| B. | the square root of q |
| C. | equal to q |
| D. | greater than q |
| Answer» C. equal to q | |
| 244. |
A bucket of 16 litres capacity is filled to the brim with water. Water from this bucket is to be transferred into smaller utensils. A mug filled to capacity has to be dipped 50 times to completely transfer the water in the bucket into the utensils. What is the capacity of the mug? |
| A. | 250 mL |
| B. | 275 mL |
| C. | 320 mL |
| D. | 225 mL |
| Answer» D. 225 mL | |
| 245. |
If 31989 is divided by 7, then the remainder is |
| A. | 7 |
| B. | 6 |
| C. | 8 |
| D. | 0 |
| Answer» C. 8 | |
| 246. |
1 kg apple costs Rs. 40. If there are 4 apples in each kg, how much will a basket of 25 apples cost? |
| A. | 100 |
| B. | 240 |
| C. | 250 |
| D. | 245 |
| Answer» D. 245 | |
| 247. |
How many such numbers are there from 500 to 750 (including both) which are neither divisible by 3 nor by 11? |
| A. | 114 |
| B. | 93 |
| C. | 158 |
| D. | 151 |
| Answer» E. | |
| 248. |
How many factors of number 4000 are perfect squares? |
| A. | 4 |
| B. | 5 |
| C. | 7 |
| D. | 6 |
| Answer» E. | |
| 249. |
I sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed \({10 {\frac{1}{2}}}\) kg? |
| A. | 147.5 kg |
| B. | 127.5 kg |
| C. | 137.5 kg |
| D. | 157.5 kg |
| Answer» E. | |
| 250. |
243! In the trailing Zeros, let us know. |
| A. | 56 |
| B. | 57 |
| C. | 55 |
| D. | 58 |
| Answer» E. | |