MCQOPTIONS
Saved Bookmarks
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.
| 251. |
If R019 is divisible by 11, find the value of the smallest natural number R.A. 5B. 6C. 7D. 8 |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» E. | |
| 252. |
For any two sets A and B, A – (A – B) equals to |
| A. | A ∩ B |
| B. | A – B |
| C. | B |
| D. | A ∪ B |
| Answer» B. A – B | |
| 253. |
\(\frac{4}{5}\) of 5 kg apples were used on Monday. The next day \(\frac{1}{3}\) of left was used. The weight (in kg) of the apples left now is |
| A. | \(\frac{2}{7}\) |
| B. | \(\frac{1}{14}\) |
| C. | \(\frac{2}{3}\) |
| D. | None of the above |
| Answer» D. None of the above | |
| 254. |
Find the HCF of 72, 108 and 180.A. 72B.24C.12D. 36 |
| A. | D |
| B. | B |
| C. | C |
| D. | A |
| Answer» B. B | |
| 255. |
Determine the largest 4-digit number which is a perfect square. |
| A. | 9999 |
| B. | 9702 |
| C. | 9604 |
| D. | 9801 |
| Answer» E. | |
| 256. |
A caterpiller crawls up a pole of 75 inches high , standing from the ground . Each day it crawls up 5 inches and each night it slides down 4 inches . When will it reach the top |
| A. | At the end of 70 days |
| B. | At the end of 71 days |
| C. | At the end of 72 days |
| D. | At the end of 73 days |
| Answer» C. At the end of 72 days | |
| 257. |
If 2 is added to the numerator and 3 is subtracted from the denominator of a fraction, the fraction becomes 3 / 2. If 1 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1 / 4. What is the sum of numerator and denominator of that fraction? |
| A. | 13 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» D. 12 | |
| 258. |
If the cost of a dozen pens is Rs. 180, then the cost of 1 pen will be |
| A. | Rs. \(\dfrac{1}{180}\) |
| B. | Rs. \(\dfrac{1}{15}\) |
| C. | Rs. 12 |
| D. | Rs. 15 |
| Answer» E. | |
| 259. |
A common factor of (12797 + 9797) and (257166 – 243166) is∶ |
| A. | 14 |
| B. | 15 |
| C. | 20 |
| D. | 25 |
| Answer» B. 15 | |
| 260. |
A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one; if he packs 7 in a parcel, none is left over. What is the number of boxes he may have to pack? |
| A. | 106 |
| B. | 301 |
| C. | 309 |
| D. | 400 |
| Answer» C. 309 | |
| 261. |
January 1, 2018 was Monday. Then January 1, 2019 falls on the day: |
| A. | Tuesday |
| B. | Wednesday |
| C. | Thursday |
| D. | Saturday |
| Answer» B. Wednesday | |
| 262. |
A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs.600 and Rs.800, which of the following is a most valid conclusion? |
| A. | A cow costs more than Rs.2,500. |
| B. | A cow costs less than Rs.3,600. |
| C. | A cow costs between Rs.2,600 and Rs.3,800. |
| D. | A cow costs between Rs.2,400 and Rs.4,000 |
| Answer» E. | |
| 263. |
If a = (√8 - √7) and a = 1/b, then (a2 + b2 - 3ab)/(a2 + ab + b2) is equal to: |
| A. | 27/31 |
| B. | 29/31 |
| C. | 27/32 |
| D. | 29/33 |
| Answer» B. 29/31 | |
| 264. |
A natural number, when divided by 3, 4, 6 and 7, leaves a remainder of 2 in each case. What is the smallest of all such numbers? |
| A. | 213 |
| B. | 843 |
| C. | 86 |
| D. | 63 |
| Answer» D. 63 | |
| 265. |
A = Highest Common factor of \(\frac{3}{4}\) and \(\frac{9}{{16}}\)B = Least Common Multiple of \(\frac{{16}}{5}\) and \(\frac{4}{{25}}\)What is the value of A + B? |
| A. | \(\frac{{70}}{{23}}\) |
| B. | \(\frac{{271}}{{80}}\) |
| C. | \(\frac{{250}}{{81}}\) |
| D. | \(\frac{{260}}{{71}}\) |
| Answer» C. \(\frac{{250}}{{81}}\) | |
| 266. |
Find the LCM of 12, 16, 20 and 24.A. 180B. 220C. 240D. 260 |
| A. | D |
| B. | A |
| C. | B |
| D. | C |
| Answer» E. | |
| 267. |
HCF of 12/5, 21/6, 9/4 and 18/3 is: |
| A. | 1/20 |
| B. | 3/2 |
| C. | 3/5 |
| D. | 3/7 |
| Answer» B. 3/2 | |
| 268. |
Let 0 < x < 1. Then the correct inequality is: |
| A. | x < √x < x2 |
| B. | √x < x < x2 |
| C. | x2 < x < √x |
| D. | √x < x2 < x |
| Answer» D. √x < x2 < x | |
| 269. |
Evaluate\(\sqrt {1471369}\) |
| A. | 1213 |
| B. | 1233 |
| C. | 1243 |
| D. | 1223 |
| Answer» B. 1233 | |
| 270. |
How many two-digit numbers are there which ends in 7 and are divisible by 3? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 271. |
If 123457Y is completely divisible by 8, then what will be the digit in place of Y? |
| A. | 4 |
| B. | 5 |
| C. | 8 |
| D. | 6 |
| Answer» E. | |
| 272. |
If x and y are in inverse proportion, then which of the following relations is CORRECT? |
| A. | xy = k |
| B. | \({x_1},{y_2} = \frac{{{x_2}{y_1}}}{k}\) |
| C. | \(\frac{x}{y} = k\) |
| D. | \(x = \frac{{{y_2}}}{{{y_1}}}\) |
| Answer» B. \({x_1},{y_2} = \frac{{{x_2}{y_1}}}{k}\) | |
| 273. |
In a knock - out tournament - i.e., a tournament in which the winner in any match moves to the next round and the loser gets eliminated - there are 22 participants. Then the total number of matches to be played is |
| A. | 20 |
| B. | 21 |
| C. | 22 |
| D. | Depends on the way the fixture is prepared |
| Answer» C. 22 | |
| 274. |
How many positive factors of 288 are there? |
| A. | 18 |
| B. | 15 |
| C. | 10 |
| D. | 16 |
| Answer» B. 15 | |
| 275. |
From the set of numbers {2, 3, 5, 6, 8, 9, 11, 12}. we need to select 4 numbers whose sum is 21. Find the largest number that can be a member of such 4-element set. |
| A. | 12 |
| B. | 9 |
| C. | 8 |
| D. | 11 |
| Answer» E. | |
| 276. |
__________ are twin prime number.A. (4, 9)B. (2, 3)C. (4, 6)D. (3, 5) |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» E. | |
| 277. |
Find the number of factors of 60. |
| A. | 14 |
| B. | 10 |
| C. | 15 |
| D. | 12 |
| Answer» E. | |
| 278. |
A candle is kept in front of a plane mirror at a distance of 22 cm. The distance between the candle & the image would be |
| A. | 11 cm |
| B. | 22 cm |
| C. | 44 cm |
| D. | 88 cm |
| Answer» D. 88 cm | |
| 279. |
A canteen requires 28 dozen bananas for a week. How many bananas will it require for 47 days? |
| A. | 2256 |
| B. | 196 |
| C. | 2652 |
| D. | 322 |
| Answer» B. 196 | |
| 280. |
Find the sum of factors of 24. |
| A. | 50 |
| B. | 60 |
| C. | 55 |
| D. | 45 |
| Answer» C. 55 | |
| 281. |
In a division problem, the divisor is eight times the quotient and five times the remainder. If the remainder is 24, find the dividend. |
| A. | 1834 |
| B. | 1684 |
| C. | 1648 |
| D. | 1824 |
| Answer» E. | |
| 282. |
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? |
| A. | 13 |
| B. | 59 |
| C. | 35 |
| D. | 37 |
| Answer» E. | |
| 283. |
Divide 32 into two parts such that if the larger part is divided by the smaller one, the quotient is 2 and the remainder is 5. |
| A. | 2, 5 |
| B. | 9, 23 |
| C. | 32, 9 |
| D. | 32, 5 |
| Answer» C. 32, 9 | |
| 284. |
If f(x) = (x - 2)(x2 + Px + 4) and (x - 3) is a factor of f(x), then what is the value of P? |
| A. | 4 |
| B. | -4 |
| C. | -13/3 |
| D. | 13/3 |
| Answer» D. 13/3 | |
| 285. |
If the nine-digit number 708x6y8z9 is divisible by 99 then what is the value of x + y + z? |
| A. | 5 |
| B. | 9 |
| C. | 27 |
| D. | 16 |
| Answer» E. | |
| 286. |
If the rate of exchange is 7·50 dollars for Rs. 100, then how many dollars will be equal to Rs. 550 ? |
| A. | 41·75 dollars |
| B. | 42·75 dollars |
| C. | 41·25 dollars |
| D. | None of the above |
| Answer» D. None of the above | |
| 287. |
Let A and B be two finite sets such that \(n(A \cap B) = 12\), n (A - B) = 24, n (B - A) = 45, find n(A) and n(B). |
| A. | 36, 57 |
| B. | 33, 12 |
| C. | 36, 69 |
| D. | 12, 33 |
| Answer» B. 33, 12 | |
| 288. |
Four bells ring simultaneously at a certain instant. Thereafter they ring at intervals of 6, 8, 10 and 12 seconds respectively. In how many minutes will they ring together again for the first time? |
| A. | 2 minutes |
| B. | \(2\frac{1}{4}\) minutes |
| C. | 1 minute |
| D. | \(1\frac{1}{2}\) minute |
| Answer» B. \(2\frac{1}{4}\) minutes | |
| 289. |
How many times does the digit 7 appear from 3 to 102? |
| A. | 18 |
| B. | 19 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 290. |
Find the number 7 × 104 + 6 × 103 + 5 × 103 + 4 × 101 + 5 × 100 + 3 and write it in the standard form. |
| A. | 76548 |
| B. | 8.1048 × 104 |
| C. | 7.6548 × 104 |
| D. | 81.0453 × 10 + 4 |
| Answer» C. 7.6548 × 104 | |
| 291. |
18 buckets of water completely fill the tank when the capacity of each bucket is 8 litters. How many buckets will be needed to fill the same tank if the capacity of the bucket is 12 litres? |
| A. | 12 |
| B. | 13.5 |
| C. | 24 |
| D. | Cannot be determined due to insufficient data |
| Answer» B. 13.5 | |
| 292. |
LCM of two numbers is 340 times their HCF. If HCF is 26 and one of the numbers is 442, then the other number is: |
| A. | 260 |
| B. | 390 |
| C. | 520 |
| D. | 560 |
| Answer» D. 560 | |
| 293. |
How many positive factors of 72 are there? |
| A. | 6 |
| B. | 10 |
| C. | 8 |
| D. | 12 |
| Answer» E. | |
| 294. |
In a two-digit number, its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 460. The number is: |
| A. | 64 |
| B. | 48 |
| C. | 46 |
| D. | 36 |
| Answer» D. 36 | |
| 295. |
At a telephone exchange, three phones ring at intervals of 20 sec, 24 sec and 30 seconds - If they ring together at 11:25 am, when will they next ring together? |
| A. | 11:29 pm |
| B. | 11:27 am |
| C. | 11:51 am |
| D. | 12:29 pm |
| Answer» C. 11:51 am | |
| 296. |
If \(a=-\dfrac{3}{4}\) and \(b=\dfrac{5}{6}\), then which of the following does not lie between a and b? |
| A. | \(-\dfrac{2}{5}\) |
| B. | \(-\dfrac{7}{9}\) |
| C. | 0 |
| D. | \(-\dfrac{1}{2}\) |
| Answer» C. 0 | |
| 297. |
How many pairs of twin prime numbers between 1 and 50? |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 5 |
| Answer» D. 5 | |
| 298. |
For every positive integer n, \(n^7 + \dfrac{n^5}{5} + \dfrac{2n^3}{3} - \dfrac{n}{105}\) is: |
| A. | An odd integer |
| B. | An integer |
| C. | A negative real number |
| D. | A rational number |
| Answer» E. | |
| 299. |
How many numbers are there 250 to 350 which are divisible by 12? |
| A. | 8 |
| B. | 9 |
| C. | 7 |
| D. | 10 |
| Answer» C. 7 | |
| 300. |
Convert the given number into Roman numeral:24 |
| A. | XXVI |
| B. | XVIII |
| C. | XXIV |
| D. | XC |
| Answer» D. XC | |