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.
| 251. |
From a bag containing 4 white and 5 black balls a man drawn 3 balls at random. What are the odds against these balls being black? |
| A. | $\frac{{5}}{{37}}$$ |
| B. | $\frac{{37}}{{5}}$$ |
| C. | $\frac{{11}}{{13}}$$ |
| D. | $\frac{{13}}{{37}}$$ |
| Answer» C. $\frac{{11}}{{13}}$$ | |
| 252. |
A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-III, 150 Year-II and 200 Year-I students who applied.Each Year-III's name is placed in the lottery 3 times; each Year-II's name, 2 times and Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen? |
| A. | $\frac{{1}}{{8}}$$ |
| B. | $\frac{{2}}{{9}}$$ |
| C. | $\frac{{2}}{{7}}$$ |
| D. | $\frac{{3}}{{8}}$$ |
| Answer» E. | |
| 253. |
In a race where 12 cars are running, the chance that car X will win is $$\frac{1}{6},$$ that Y will win is $$\frac{{1}}{{10}}$$ and that Z will win is $$\frac{{1}}{{8}}$$. Assuming that a dead heat is impossible. Find the chance that one of them will win. |
| A. | $\frac{{47}}{{120}}$$ |
| B. | $\frac{{1}}{{480}}$$ |
| C. | $\frac{{1}}{{160}}$$ |
| D. | $\frac{{1}}{{240}}$$ |
| Answer» B. $\frac{{1}}{{480}}$$ | |
| 254. |
A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that $$|X| < 2$$ |
| A. | $\frac{{5}}{{7}}$$ |
| B. | $\frac{{3}}{{7}}$$ |
| C. | $\frac{{3}}{{5}}$$ |
| D. | $\frac{{1}}{{3}}$$ |
| Answer» C. $\frac{{3}}{{5}}$$ | |
| 255. |
If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even? |
| A. | $\frac{{5}}{{6}}$$ |
| B. | $\frac{{1}}{{6}}$$ |
| C. | $\frac{{1}}{{2}}$$ |
| D. | $\frac{{2}}{{3}}$$ |
| Answer» E. | |
| 256. |
The odds against an event are 5 : 3 and the odds in favour of another independent event are 7 : 5. Find the probability that at least one of the two events will occur. |
| A. | $\frac{{69}}{{96}}$$ |
| B. | $\frac{{52}}{{96}}$$ |
| C. | $\frac{{71}}{{96}}$$ |
| D. | $\frac{{13}}{{96}}$$ |
| Answer» D. $\frac{{13}}{{96}}$$ | |
| 257. |
A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event? |
| A. | 5% |
| B. | % |
| C. | 5% |
| D. | 2.5% |
| Answer» B. % | |
| 258. |
A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement.What is the probability that first is white and second is black? |
| A. | $\frac{{18}}{{145}}$$ |
| B. | $\frac{{18}}{{29}}$$ |
| C. | $\frac{{36}}{{135}}$$ |
| D. | $\frac{{36}}{{145}}$$ |
| Answer» E. | |
| 259. |
The probability of success of three students X,Y and Z in the one examination are $$\frac{{1}}{{5}}$$, $$\frac{{1}}{{4}}$$ and $$\frac{{1}}{{3}}$$ respectively. Find the probability of success of at least two. |
| A. | $\frac{{1}}{{6}}$$ |
| B. | $\frac{{2}}{{5}}$$ |
| C. | $\frac{{3}}{{4}}$$ |
| D. | $\frac{{3}}{{5}}$$ |
| Answer» B. $\frac{{2}}{{5}}$$ | |
| 260. |
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice. |
| A. | $\frac{{5}}{{12}}$$ |
| B. | $\frac{{11}}{{36}}$$ |
| C. | $\frac{{5}}{{36}}$$ |
| D. | $\frac{{13}}{{36}}$$ |
| Answer» C. $\frac{{5}}{{36}}$$ | |
| 261. |
A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement.Find the probability that both toys will show even numbers. |
| A. | $\frac{{5}}{{21}}$$ |
| B. | $\frac{{9}}{{42}}$$ |
| C. | $\frac{{11}}{{42}}$$ |
| D. | $\frac{{4}}{{21}}$$ |
| Answer» C. $\frac{{11}}{{42}}$$ | |
| 262. |
Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit. |
| A. | $\frac{{13}}{{270725}}$$ |
| B. | $\frac{{91}}{{190}}$$ |
| C. | $\frac{{178}}{{20825}}$$ |
| D. | $\frac{{44}}{{4165}}$$ |
| Answer» E. | |
| 263. |
Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected.The probability of A is $$\frac{{1}}{{7}}$$ and that of B is $$\frac{{2}}{{9}}$$. Find the probability that both of them are selected. |
| A. | $\frac{{1}}{{63}}$$ |
| B. | $\frac{{2}}{{35}}$$ |
| C. | $\frac{{2}}{{63}}$$ |
| D. | $\frac{{9}}{{14}}$$ |
| Answer» D. $\frac{{9}}{{14}}$$ | |
| 264. |
Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion? |
| A. | to 2 |
| B. | to 2 |
| C. | to 1 |
| D. | 3 to 7 |
| Answer» E. | |
| 265. |
An urn contains 6 red, 5 blue and 2 green marbles. If three marbles are picked at random, what is the probability that at least one is blue? |
| A. | $\frac{{28}}{{143}}$$ |
| B. | $\frac{{115}}{{97}}$$ |
| C. | $\frac{{28}}{{197}}$$ |
| D. | $\frac{{115}}{{143}}$$ |
| Answer» E. | |
| 266. |
A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4? |
| A. | $\frac{{1}}{{5}}$$ |
| B. | $\frac{{5}}{{6}}$$ |
| C. | $\frac{{4}}{{5}}$$ |
| D. | one of these |
| Answer» B. $\frac{{5}}{{6}}$$ | |
| 267. |
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together. |
| A. | $\frac{1}{7}$$ |
| B. | $\frac{3}{5}$$ |
| C. | $\frac{5}{11}$$ |
| D. | $\frac{1}{5}$$ |
| Answer» E. | |
| 268. |
A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, what is the probability that either both are white or both are blue? |
| A. | $\frac{{4}}{{105}}$$ |
| B. | $\frac{{1}}{{35}}$$ |
| C. | $\frac{{1}}{{105}}$$ |
| D. | $\frac{{1}}{{15}}$$ |
| Answer» B. $\frac{{1}}{{35}}$$ | |
| 269. |
A box has 6 black, 4 red, 2 white and 3 blue shirts. What is probability of picking at least 1 red shirt in 4 shirts that are randomly picked? |
| A. | $\frac{{4}}{{15}}$$ |
| B. | $\frac{{24}}{{455}}$$ |
| C. | $\frac{{69}}{{91}}$$ |
| D. | $\frac{{22}}{{91}}$$ |
| Answer» D. $\frac{{22}}{{91}}$$ | |
| 270. |
In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black? |
| A. | $\frac{{5}}{{14}}$$ |
| B. | $\frac{{5}}{{8}}$$ |
| C. | $\frac{{3}}{{8}}$$ |
| D. | $\frac{{5}}{{16}}$$ |
| Answer» B. $\frac{{5}}{{8}}$$ | |
| 271. |
A pot has 2 white, 6 black, 4 grey and 8 green balls. If one ball is picked randomly from the pot, what is the probability of it being black or green? |
| A. | $\frac{{3}}{{4}}$$ |
| B. | $\frac{{7}}{{10}}$$ |
| C. | $\frac{{4}}{{3}}$$ |
| D. | $\frac{{1}}{{10}}$$ |
| Answer» C. $\frac{{4}}{{3}}$$ | |
| 272. |
A box has 6 black, 4 red, 2 white and 3 blue shirts. What is the probability that 2 red shirts and 1 blue shirt get chosen during a random selection of 3 shirts from the box? |
| A. | $\frac{{18}}{{455}}$$ |
| B. | $\frac{{7}}{{15}}$$ |
| C. | $\frac{{7}}{{435}}$$ |
| D. | $\frac{{7}}{{2730}}$$ |
| Answer» B. $\frac{{7}}{{15}}$$ | |
| 273. |
In a set of 30 game cards, 17 are white and rest are green. 4 white and 5 green are marked IMPORTANT. If a card is chosen randomly from this set, what is the possibility of choosing a green card or an ‘IMPORTANT’ card? |
| A. | $\frac{{13}}{{30}}$$ |
| B. | $\frac{{22}}{{30}}$$ |
| C. | $\frac{{17}}{{30}}$$ |
| D. | $\frac{{9}}{{13}}$$ |
| Answer» D. $\frac{{9}}{{13}}$$ | |
| 274. |
A box has 5 black and 3 green shirts. One shirt is picked randomly and put in another box. The second box has 3 black and 5 green shirts. Now a shirt is picked from second box. What is the probability of it being a black shirt? |
| A. | $\frac{{4}}{{9}}$$ |
| B. | $\frac{{29}}{{72}}$$ |
| C. | $\frac{{8}}{{72}}$$ |
| D. | $\frac{{3}}{{16}}$$ |
| Answer» C. $\frac{{8}}{{72}}$$ | |
| 275. |
When two coins are tossed simultaneously, what are the chances of getting at least one tail? |
| A. | $\frac{{4}}{{5}}$$ |
| B. | $\frac{{1}}{{5}}$$ |
| C. | $\frac{{3}}{{4}}$$ |
| D. | $\frac{{1}}{{4}}$$ |
| Answer» D. $\frac{{1}}{{4}}$$ | |
| 276. |
Three unbiased coins are tossed. What is the probability of getting at least 2 tails? |
| A. | 0.75 |
| B. | 0.5 |
| C. | 0.25 |
| D. | 0.2 |
| Answer» C. 0.25 | |
| 277. |
There are 2 pots. One pot has 5 red and 3 green marbles. Other has 4 red and 2 green marbles. What is the probability of drawing a red marble? |
| A. | $\frac{{9}}{{14}}$$ |
| B. | $\frac{{31}}{{48}}$$ |
| C. | |
| Answer» C. | |
| 278. |
A dice is rolled twice. What is the probability of getting sum 9? |
| A. | $\frac{{2}}{{3}}$$ |
| B. | $\frac{{1}}{{3}}$$ |
| C. | $\frac{{1}}{{9}}$$ |
| D. | $\frac{{3}}{{9}}$$ |
| Answer» D. $\frac{{3}}{{9}}$$ | |
| 279. |
If four coins are tossed, the probability of getting two heads and two tails is - |
| A. | $\frac{{3}}{{8}}$$ |
| B. | $\frac{{6}}{{11}}$$ |
| C. | $\frac{{2}}{{5}}$$ |
| D. | $\frac{{4}}{{5}}$$ |
| Answer» B. $\frac{{6}}{{11}}$$ | |
| 280. |
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good. |
| A. | $\frac{{6}}{{63}}$$ |
| B. | $\frac{{2}}{{63}}$$ |
| C. | $\frac{{125}}{{126}}$$ |
| D. | $\frac{{1}}{{126}}$$ |
| Answer» D. $\frac{{1}}{{126}}$$ | |
| 281. |
The probability that A speaks truth is $$\frac{{3}}{{5}}$$ and that of B speaking truth is $$\frac{{4}}{{7}}$$. What is the probability that they agree in stating the same fact? |
| A. | $\frac{{18}}{{35}}$$ |
| B. | $\frac{{12}}{{35}}$$ |
| C. | $\frac{{17}}{{35}}$$ |
| D. | $\frac{{19}}{{35}}$$ |
| Answer» B. $\frac{{12}}{{35}}$$ | |
| 282. |
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is - |
| A. | $\frac{{1}}{{2}}$$ |
| B. | $\frac{{16}}{{19}}$$ |
| C. | $\frac{{4}}{{5}}$$ |
| D. | $\frac{{17}}{{20}}$$ |
| Answer» E. | |
| 283. |
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is - |
| A. | $\frac{{25}}{{42}}$$ |
| B. | $\frac{{9}}{{20}}$$ |
| C. | $\frac{{10}}{{23}}$$ |
| D. | $\frac{{41}}{{42}}$$ |
| Answer» B. $\frac{{9}}{{20}}$$ | |
| 284. |
If the chance that a vessel arrives safely at a port is $$\frac{{9}}{{10}}$$ then what is the chance that out of 5 vessels expected at least 4 will arrive safely? |
| A. | $\frac{{14 \times {9^4}}}{{{{10}^5}}}$$ |
| B. | $\frac{{15 \times {9^5}}}{{{{10}^4}}}$$ |
| C. | $\frac{{14 \times {9^3}}}{{{{10}^4}}}$$ |
| D. | $\frac{{14 \times {9^6}}}{{{{10}^5}}}$$ |
| Answer» B. $\frac{{15 \times {9^5}}}{{{{10}^4}}}$$ | |
| 285. |
In a charity show tickets numbered consecutively from 101 through 350 are placed in a box.What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2? |
| A. | 0.285 |
| B. | 0.4 |
| C. | $\frac{{100}}{{249}}$$ |
| D. | $\frac{{99}}{{250}}$$ |
| Answer» C. $\frac{{100}}{{249}}$$ | |
| 286. |
What is the probability that a number selected from numbers 1, 2, 3, ......, 30, is prime number, when each of the given numbers is equally likely to be selected? |
| A. | $\frac{{9}}{{30}}$$ |
| B. | $\frac{{8}}{{30}}$$ |
| C. | $\frac{{10}}{{30}}$$ |
| D. | $\frac{{11}}{{30}}$$ |
| Answer» D. $\frac{{11}}{{30}}$$ | |
| 287. |
A box contains 10 black and 10 white balls. What is the probability of drawing 2 balls of the same colour ? |
| A. | $\frac{9}{19}$$ |
| B. | $\frac{9}{38}$$ |
| C. | $\frac{10}{19}$$ |
| D. | $\frac{5}{19}$$ |
| E. | one of these |
| Answer» B. $\frac{9}{38}$$ | |
| 288. |
Two dice are tossed. The probability that the total score is a prime number is- |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{2}$$ |
| C. | $\frac{5}{12}$$ |
| D. | $\frac{7}{9}$$ |
| E. | one of these |
| Answer» D. $\frac{7}{9}$$ | |
| 289. |
An urn contains 2 red, 3 green and 2 blue balls. If 2 balls are drawn at random, find the probability that no ball is blue. |
| A. | $\frac{5}{7}$$ |
| B. | $\frac{10}{21}$$ |
| C. | $\frac{2}{7}$$ |
| D. | $\frac{11}{21}$$ |
| E. | one of these |
| Answer» C. $\frac{2}{7}$$ | |
| 290. |
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If four marbles are picked up at random, what is the probability that 1 Is green, 2 are blue and 1 is red ? |
| A. | $\frac{13}{35}$$ |
| B. | $\frac{24}{455}$$ |
| C. | $\frac{11}{15}$$ |
| D. | $\frac{1}{13}$$ |
| Answer» C. $\frac{11}{15}$$ | |
| 291. |
In a single throw of die, what is the probability of getting a number greater than 4 ? |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{1}{3}$$ |
| C. | $\frac{2}{3}$$ |
| D. | $\frac{1}{4}$$ |
| Answer» C. $\frac{2}{3}$$ | |
| 292. |
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If two marbles are picked up at random, what is the probability that either both are green or both are yellow ? |
| A. | $\frac{5}{91}$$ |
| B. | $\frac{1}{35}$$ |
| C. | $\frac{1}{3}$$ |
| D. | $\frac{4}{105}$$ |
| E. | one of these |
| Answer» E. one of these | |
| 293. |
A box contains 20 electric bulbs, out of which 4 are defective. Two balls are chosen at random from this box. The probability that at least one ofthem is defective, is - |
| A. | $\frac{4}{19}$$ |
| B. | $\frac{7}{19}$$ |
| C. | $\frac{12}{19}$$ |
| D. | $\frac{21}{95}$$ |
| E. | one of these |
| Answer» C. $\frac{12}{19}$$ | |
| 294. |
A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked up at random what is the probability that at least one is blue ? |
| A. | $\frac{7}{12}$$ |
| B. | $\frac{37}{44}$$ |
| C. | $\frac{5}{12}$$ |
| D. | $\frac{7}{44}$$ |
| E. | one of these |
| Answer» C. $\frac{5}{12}$$ | |
| 295. |
An urn contains 6 red, 4 blue, 2 green 3 yellow marbles. If two marbles are drawn at random from the run, what is the probability that both are red ? |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{7}$$ |
| C. | $\frac{2}{15}$$ |
| D. | $\frac{2}{5}$$ |
| Answer» C. $\frac{2}{15}$$ | |
| 296. |
Two cards are drawn from a pack of 52 cards. The probability that either both are red or both are king, is- |
| A. | $\frac{7}{13}$$ |
| B. | $\frac{3}{26}$$ |
| C. | $\frac{63}{221}$$ |
| D. | $\frac{55}{221}$$ |
| Answer» E. | |
| 297. |
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ? |
| A. | $\frac{1}{2}$$ |
| B. | $\frac{6}{13}$$ |
| C. | $\frac{7}{13}$$ |
| D. | $\frac{27}{52}$$ |
| Answer» D. $\frac{27}{52}$$ | |
| 298. |
In a simultaneous throw of two dice, what is the probability of getting a total of 7? |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{2}{3}$$ |
| D. | $\frac{3}{4}$$ |
| Answer» B. $\frac{1}{4}$$ | |
| 299. |
A man and his wife appear in an interview for two vacancies in the same post. The probability two of husband’s selection is $$\frac{1}{7}$$ and the probability of wife’s selection is$$\frac{1}{5}$$. What is the probability that only one of them is selected? |
| A. | $\frac{4}{5}$$ |
| B. | $\frac{2}{7}$$ |
| C. | $\frac{4}{7}$$ |
| D. | $\frac{8}{15}$$ |
| E. | one of these |
| Answer» C. $\frac{4}{7}$$ | |
| 300. |
A bag contains 6 red balls 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag. One after another what is the probability that the first ball is red and second ball is yellow? |
| A. | $\frac{1}{14}$$ |
| B. | $\frac{2}{7}$$ |
| C. | $\frac{5}{7}$$ |
| D. | $\frac{3}{14}$$ |
| E. | one of these |
| Answer» C. $\frac{5}{7}$$ | |