MCQOPTIONS
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MCQOPTIONS
This section includes 992 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 301. |
A box contains 4 red, 5 green and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green ? |
| A. | $\frac{2}{5}$$ |
| B. | $\frac{3}{5}$$ |
| C. | $\frac{1}{5}$$ |
| D. | $\frac{7}{15}$$ |
| Answer» C. $\frac{1}{5}$$ | |
| 302. |
From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade? |
| A. | $\frac{4}{13}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{1}{13}$$ |
| D. | $\frac{1}{26}$$ |
| Answer» B. $\frac{1}{4}$$ | |
| 303. |
A basket contains 6 blue, 2 red, 4 green and 3 yellow balls. If 5 balls are picked up at random, what is the probability that at least one is blue? |
| A. | $\frac{137}{143}$$ |
| B. | $\frac{18}{455}$$ |
| C. | $\frac{9}{91}$$ |
| D. | $\frac{2}{5}$$ |
| E. | one of these |
| Answer» B. $\frac{18}{455}$$ | |
| 304. |
A bag contains 3 blue, 2 green and 5 red balls. If four balls are picked at random, what is the probability that two are green and two are blue? |
| A. | $\frac{1}{18}$$ |
| B. | $\frac{1}{70}$$ |
| C. | $\frac{3}{5}$$ |
| D. | $\frac{1}{2}$$ |
| Answer» C. $\frac{3}{5}$$ | |
| 305. |
A bag contains 4 red balls, 6 blue balls and 8 pink balls. One ball is drawn at random and replaced with 3 pink balls. A probability that the first ball drawn was either red or blue in colour and the second drawn was pink in colour ? |
| A. | $\frac{12}{21}$$ |
| B. | $\frac{13}{17}$$ |
| C. | $\frac{11}{30}$$ |
| D. | $\frac{13}{18}$$ |
| E. | one of these |
| Answer» F. | |
| 306. |
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is- |
| A. | $\frac{1}{13}$$ |
| B. | $\frac{2}{13}$$ |
| C. | $\frac{1}{26}$$ |
| D. | $\frac{1}{52}$$ |
| Answer» D. $\frac{1}{52}$$ | |
| 307. |
In a simultaneous throw of two coins, the probability of getting at least one head is- |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{1}{3}$$ |
| C. | $\frac{2}{3}$$ |
| D. | $\frac{3}{4}$$ |
| Answer» E. | |
| 308. |
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If 4 marbles are picked up at random, what is the probability that at least one of them is blue? |
| A. | $\frac{4}{15}$$ |
| B. | $\frac{69}{91}$$ |
| C. | $\frac{11}{15}$$ |
| D. | $\frac{22}{91}$$ |
| E. | one of these |
| Answer» C. $\frac{11}{15}$$ | |
| 309. |
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3 ? |
| A. | $\frac{3}{10}$$ |
| B. | $\frac{3}{20}$$ |
| C. | $\frac{2}{5}$$ |
| D. | $\frac{1}{2}$$ |
| Answer» B. $\frac{3}{20}$$ | |
| 310. |
In a race, the odd favour of cars P, Q, R, S are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race. |
| A. | $\frac{{9}}{{17}}$$ |
| B. | $\frac{{114}}{{121}}$$ |
| C. | $\frac{{319}}{{420}}$$ |
| D. | $\frac{{27}}{{111}}$$ |
| Answer» D. $\frac{{27}}{{111}}$$ | |
| 311. |
P and Q sit in a ring arrangement with 10 persons. What is the probability that P and Q will sit together? |
| A. | $\frac{{2}}{{11}}$$ |
| B. | $\frac{{3}}{{11}}$$ |
| C. | $\frac{{2}}{{9}}$$ |
| D. | $\frac{{4}}{{9}}$$ |
| Answer» B. $\frac{{3}}{{11}}$$ | |
| 312. |
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King. |
| A. | $\frac{{1}}{{13}}$$ |
| B. | $\frac{{4}}{{13}}$$ |
| C. | $\frac{{1}}{{52}}$$ |
| D. | $\frac{{1}}{{26}}$$ |
| Answer» E. | |
| 313. |
An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red? |
| A. | $\frac{6}{{13}}$$ |
| B. | $\frac{{5}}{{26}}$$ |
| C. | $\frac{{5}}{{13}}$$ |
| D. | $\frac{{7}}{{26}}$$ |
| Answer» C. $\frac{{5}}{{13}}$$ | |
| 314. |
A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow? |
| A. | $\frac{{1}}{{7}}$$ |
| B. | $\frac{{3}}{{7}}$$ |
| C. | $\frac{{2}}{{7}}$$ |
| D. | $\frac{{5}}{{14}}$$ |
| E. | $\frac{{9}}{{14}}$$ |
| Answer» C. $\frac{{2}}{{7}}$$ | |
| 315. |
Dev can hit a target 3 times in 6 shots pawan can hit the target 2 times in 6 shotsand Lakhan can hit the target 4 times in 4 shots. What is the probability that at least 2 shots hit the target - |
| A. | $\frac{{2}}{{3}}$$ |
| B. | $\frac{{1}}{{3}}$$ |
| C. | $\frac{{1}}{{2}}$$ |
| D. | one of these |
| Answer» B. $\frac{{1}}{{3}}$$ | |
| 316. |
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ? |
| A. | $\frac{{2}}{{5}}$$ |
| B. | $\frac{{3}}{{4}}$$ |
| C. | $\frac{{7}}{{19}}$$ |
| D. | $\frac{{8}}{{21}}$$ |
| E. | $\frac{{9}}{{21}}$$ |
| Answer» E. $\frac{{9}}{{21}}$$ | |
| 317. |
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is - |
| A. | $\frac{{2}}{{13}}$$ |
| B. | $\frac{{4}}{{13}}$$ |
| C. | $\frac{{1}}{{13}}$$ |
| D. | $\frac{{1}}{{52}}$$ |
| Answer» C. $\frac{{1}}{{13}}$$ | |
| 318. |
A basket contains 6 blue, 2 red, 4 green, and 3 yellow balls. If three balls are picked up at random, what is the probability that none is yellow? |
| A. | $\frac{{3}}{{455}}$$ |
| B. | $\frac{{1}}{{5}}$$ |
| C. | $\frac{{4}}{{5}}$$ |
| D. | $\frac{{44}}{{91}}$$ |
| E. | one of these |
| Answer» E. one of these | |
| 319. |
Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is- |
| A. | $\frac{{1}}{{9}}$$ |
| B. | $\frac{{1}}{{5}}$$ |
| C. | $\frac{{1}}{{12}}$$ |
| D. | $\frac{{10}}{{21}}$$ |
| E. | one of thee |
| Answer» E. one of thee | |
| 320. |
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If three marbles are picked up at random, what is the probability that 2 are blue and 1 is yellow ? |
| A. | $\frac{{13}}{{35}}$$ |
| B. | $\frac{{1}}{{5}}$$ |
| C. | $\frac{{18}}{{455}}$$ |
| D. | $\frac{{7}}{{15}}$$ |
| E. | one of these |
| Answer» D. $\frac{{7}}{{15}}$$ | |
| 321. |
A basket contains 4 red, 5 blue and 3 green marbles. If 2 marbles are drawn at random from the basket, What is the probability that both are red ? |
| A. | $\frac{{3}}{{7}}$$ |
| B. | $\frac{{1}}{{2}}$$ |
| C. | $\frac{{1}}{{11}}$$ |
| D. | $\frac{{1}}{{6}}$$ |
| E. | one of these |
| Answer» D. $\frac{{1}}{{6}}$$ | |
| 322. |
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident ? |
| A. | % |
| B. | 5% |
| C. | 5% |
| D. | 5% |
| E. | one of these |
| Answer» D. 5% | |
| 323. |
A committee of 3 members is to be selected out of 3 men and 2 women. What is the probability that the committee has at least 1 woman ? |
| A. | $\frac{{1}}{{10}}$$ |
| B. | $\frac{{9}}{{20}}$$ |
| C. | $\frac{{1}}{{20}}$$ |
| D. | $\frac{{9}}{{10}}$$ |
| E. | one of these |
| Answer» E. one of these | |
| 324. |
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is- |
| A. | $\frac{{3}}{{20}}$$ |
| B. | $\frac{{29}}{{34}}$$ |
| C. | $\frac{{47}}{{100}}$$ |
| D. | $\frac{{13}}{{102}}$$ |
| Answer» E. | |
| 325. |
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, What is the probability that he has offered English or Hindi ? |
| A. | $\frac{{2}}{{5}}$$ |
| B. | $\frac{{3}}{{5}}$$ |
| C. | $\frac{{3}}{{4}}$$ |
| D. | $\frac{{3}}{{10}}$$ |
| E. | one of these |
| Answer» B. $\frac{{3}}{{5}}$$ | |
| 326. |
A basket contains 6 blue, 2 red,4 green and 3 yellow balls. If four balls are picked up at random, what is the probability that 2 are red 2 are green? |
| A. | $\frac{{4}}{{15}}$$ |
| B. | $\frac{{5}}{{27}}$$ |
| C. | $\frac{{1}}{{3}}$$ |
| D. | $\frac{{2}}{{445}}$$ |
| E. | one of these |
| Answer» E. one of these | |
| 327. |
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that the selected students are 2 boys and 1 girls, is: |
| A. | $\frac{21}{46}$$ |
| B. | $\frac{25}{117}$$ |
| C. | $\frac{1}{50}$$ |
| D. | $\frac{3}{25}$$ |
| E. | one of these |
| Answer» B. $\frac{25}{117}$$ | |
| 328. |
A speaks truth in 60% cases B speaks truth in 70% cases. The probability that they will way say the same thing while describing a single event, is- |
| A. | 0.54 |
| B. | 0.56 |
| C. | 0.68 |
| D. | 0.94 |
| E. | one of these |
| Answer» B. 0.56 | |
| 329. |
A bag contains 10 mangoes out of which 4 are rotten, two mangoes are taken out together. If one of them is found to be good, the probability that other also good is- |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{8}{15}$$ |
| C. | $\frac{5}{18}$$ |
| D. | $\frac{2}{3}$$ |
| Answer» B. $\frac{8}{15}$$ | |
| 330. |
In a binomial distribution, the mean is \(\dfrac{2}{3}\) and variance is \(\dfrac{5}{9}\). What is the probability that random variable D = 2? |
| A. | \(\dfrac{5}{36}\) |
| B. | \(\dfrac{25}{36}\) |
| C. | \(\dfrac{25}{54}\) |
| D. | \(\dfrac{25}{216}\) |
| Answer» E. | |
| 331. |
Box A contains 2 black and 3 red balls while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box, then the probability that it has come from box B is |
| A. | \(\frac{{21}}{{31}}\) |
| B. | \(\frac{{12}}{{31}}\) |
| C. | \(\frac{{13}}{{41}}\) |
| D. | \(\frac{{10}}{{31}}\) |
| Answer» E. | |
| 332. |
A student appears for tests I, II and III. The student is considered successful if the passes in tests I, II or I, III or all the three. The probabilities of the student passing in test I, II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2, then which one of the following is correct? |
| A. | m (1 + n) = 1 |
| B. | n (1 + m) = 1 |
| C. | m = 1 |
| D. | mn = 1 |
| Answer» B. n (1 + m) = 1 | |
| 333. |
A committee of two persons is constituted from two men and two women. What is the probability that the committee will have only women? |
| A. | \(\frac{1}{6}\) |
| B. | \(\frac{1}{3}\) |
| C. | \(\frac{1}{2}\) |
| D. | \(\frac{2}{3}\) |
| Answer» B. \(\frac{1}{3}\) | |
| 334. |
A normal random variable X has the following probability density function \(f(x)=\frac{1}{\sqrt{8\pi}}e^{-\left \{ \frac{(x\;-\;1)^2}{8} \right \}}\), -∞ < x < ∞. Then \(\int_{1}^{\infty}f(x)dx\) |
| A. | 0 |
| B. | \(\frac{1}{2}\) |
| C. | \(1\;-\;\frac{1}{e}\) |
| D. | 1 |
| Answer» C. \(1\;-\;\frac{1}{e}\) | |
| 335. |
Four persons can hit a target correctly with probabilities \(\frac{1}{2},\frac{1}{3},\frac{1}{4}{\rm{\;and\;}}\frac{1}{8}\) respectively. If all hit at the target independently, then the probability that the target would be hit, is: |
| A. | \(\frac{{25}}{{192}}\) |
| B. | \(\frac{7}{{32}}\) |
| C. | \(\frac{1}{{192}}\) |
| D. | \(\frac{{25}}{{32}}\) |
| Answer» E. | |
| 336. |
A man is known to speak the truth 2 out of 3 times. He threw a dice cube with 1 to 6 on its faces and reports that it is 1. Then the probability that it is actually 1 is |
| A. | 1/2 |
| B. | 1/7 |
| C. | 2/7 |
| D. | 5/6 |
| Answer» B. 1/7 | |
| 337. |
In a class there are 15 boys and 10 girls. One student is selected at random. What is the probability that the selected student is a girl? |
| A. | 3/5 |
| B. | 4/5 |
| C. | 2/5 |
| D. | 1/5 |
| Answer» D. 1/5 | |
| 338. |
From a bag containing 4 black balls and 5 red balls, in how many ways can 5 balls be drawn if at least 3 balls are red? |
| A. | 105 |
| B. | 81 |
| C. | 100 |
| D. | 91 |
| Answer» C. 100 | |
| 339. |
Let A and B be two events with \({\rm{P}}\left( {\rm{A}} \right) = \frac{1}{3},{\rm{\;P}}\left( {\rm{B}} \right) = \frac{1}{6}\) and \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right) = \frac{1}{{12}}\). What is the P(B|A̅) equal to? |
| A. | \(\frac{1}{5}\) |
| B. | \(\frac{1}{7}\) |
| C. | \(\frac{1}{8}\) |
| D. | \(\frac{1}{10}\) |
| Answer» D. \(\frac{1}{10}\) | |
| 340. |
A team of 4 musicians is to be chosen at random out of 3 boys, 2 girls and 4 children. The chance that exactly two of them will be children is |
| A. | \(\frac{{10}}{{21}}\) |
| B. | \(\frac{{4}}{{9}}\) |
| C. | \(\frac{{3}}{{43}}\) |
| D. | 1 |
| Answer» B. \(\frac{{4}}{{9}}\) | |
| 341. |
In a box there are 6 blue balls, X red balls and 10 green balls. Probability of choosing one red ball from the given box is 1/3. Find the sum of red and blue balls in the box. |
| A. | 20 |
| B. | 18 |
| C. | 12 |
| D. | 14 |
| Answer» E. | |
| 342. |
In a bag there are 5 red balls, 6 blue balls and 7 white balls. Two balls are drawn from the bag one after other without replacement. If the first ball turns out to be of blue colour, then 4 more blue coloured balls are to be added to the bag. Find the probability that both the balls are of blue colour. |
| A. | \(\frac{2}{7}\) |
| B. | \(\frac{1}{7}\) |
| C. | \(\frac{2}{9}\) |
| D. | \(\frac{1}{9}\) |
| E. | None of these |
| Answer» C. \(\frac{2}{9}\) | |
| 343. |
A computer producing factory has only two plants T1 and T2. Plant T1 produces 20% and plant T2 produces 80% of the total computers produced. 7% of the computers produced in the factory turn out to be defective. It is known that P(computer turns out to be defective given that it is produced in plant T2) = 10 × P(computer turns out to be defective given that it is produced in plant T1). A computer produced in the factory is randomly selected and it does not turn out to be defective, then the probability that it is produced in plant T2 is: |
| A. | \(\frac {36}{73}\) |
| B. | \(\frac {47}{79}\) |
| C. | \(\frac {78}{93}\) |
| D. | \(\frac {75}{83}\) |
| Answer» D. \(\frac {75}{83}\) | |
| 344. |
Cards each marked with one of the numbers 8, 9, 10, ........,15 are placed in a box and mixed thoroughly. If one card is drawn at random, then the probability of getting an odd number is: |
| A. | \(\frac{1}{4}\) |
| B. | \(\frac{2}{3}\) |
| C. | \(\frac{1}{2}\) |
| D. | \(\frac{3}{4}\) |
| Answer» D. \(\frac{3}{4}\) | |
| 345. |
In a class are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is |
| A. | 21/46 |
| B. | 25/117 |
| C. | 1/50 |
| D. | 3/35 |
| Answer» B. 25/117 | |
| 346. |
In a class of 100 students, 50 passed in Maths and 70 passed in English, 5 students failed in both Maths and English. How many students passed in both the subjects? |
| A. | 35 |
| B. | 25 |
| C. | 45 |
| D. | 37 |
| Answer» C. 45 | |
| 347. |
If any leap year is selected at random, then the probability of containing 53 Fridays in that year will be |
| A. | \(\frac{1}{7}\) |
| B. | \(\frac{2}{7}\) |
| C. | \(\frac{53}{366}\) |
| D. | \(\frac{7}{53}\) |
| Answer» C. \(\frac{53}{366}\) | |
| 348. |
During the next year, the probability that a Company A releases a mobile is 0.7. The probability that mobile is a success, given that it is released by the Company A is 0.8. The probability that a mobile is a success and released by a Company B is 0.28. A mobile released by either Company A or Company B during the next one year is a success. Find the probability that it is released by Company A. |
| A. | 1/3 |
| B. | 1/2 |
| C. | 2/3 |
| D. | 3/4 |
| Answer» D. 3/4 | |
| 349. |
A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first? |
| A. | \(\frac{1}{4}\) |
| B. | \(\frac{1}{6}\) |
| C. | \(\frac{5}{{12}}\) |
| D. | \(\frac{5}{{18}}\) |
| Answer» D. \(\frac{5}{{18}}\) | |
| 350. |
A dice is thrown, what is the probability getting number divisible by 5? |
| A. | 1/6 |
| B. | 1/3 |
| C. | 4/5 |
| D. | 2/3 |
| Answer» B. 1/3 | |