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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.
| 751. |
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?Two cards are drawn together from a pack of 52 cards. The probability that o |
| A. | 3/20 |
| B. | 29/34 |
| C. | 47/100 |
| D. | 13/102 |
| Answer» E. | |
| 752. |
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)? |
| A. | 1/13 |
| B. | 3/13 |
| C. | 1/4 |
| D. | 9/52 |
| Answer» C. 1/4 | |
| 753. |
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? |
| A. | 1/15 |
| B. | 25/57 |
| C. | 35/256 |
| D. | 1/221 |
| Answer» E. | |
| 754. |
What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, it contains 2 Queen |
| A. | 291/1017926 |
| B. | 29187/1017926 |
| C. | 29187/101792 |
| D. | 2987/101926 |
| Answer» C. 29187/101792 | |
| 755. |
What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards, it contains all Queens |
| A. | 192/37015 |
| B. | 182/379015 |
| C. | 92/37901 |
| D. | 192/379015 |
| Answer» E. | |
| 756. |
The probability of obtaining an even prime number on each die, when a pair of dice is rolled |
| A. | 0 |
| B. | 1/3 |
| C. | 1/26 |
| D. | 1/36 |
| Answer» E. | |
| 757. |
Events A and B are such that P (A) = 1/3, P(B) = 7/6, and P(not A or not B) = 1/4. State whether A and B are independent? |
| A. | A and B are independent |
| B. | A and B are not independent |
| C. | A and B are neither or not independent |
| D. | None of these |
| Answer» C. A and B are neither or not independent | |
| 758. |
If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8, find P (not A and not B). |
| A. | 3/8 |
| B. | 1/8 |
| C. | 1/4 |
| D. | None of these |
| Answer» C. 1/4 | |
| 759. |
Let A and B be independent events with P (A) = 0.13 and P(B) = 0.3. Find P(B/A)? |
| A. | 2.34 |
| B. | 1.3 |
| C. | 0.3 |
| D. | None of these |
| Answer» D. None of these | |
| 760. |
Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)? |
| A. | 0.2 |
| B. | 0.3 |
| C. | 1.2 |
| D. | None of these |
| Answer» B. 0.3 | |
| 761. |
Let A and B be independent events with P (A) = 0.7 and P(B) = 0.7. Find P(A n B)? |
| A. | 4.9 |
| B. | 0.049 |
| C. | 0.49 |
| D. | None of these |
| Answer» D. None of these | |
| 762. |
If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events. |
| A. | 8/23 |
| B. | 8/25 |
| C. | 3/25 |
| D. | None of these |
| Answer» C. 3/25 | |
| 763. |
6 Coins are tossed simultaneously. find the probability to get 2 hands |
| A. | 15/32 |
| B. | 5/64 |
| C. | 15/64 |
| D. | None of these |
| Answer» D. None of these | |
| 764. |
An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event‘odd number on the second throw’. Check the independence of the events A and B. |
| A. | A or B are independent events |
| B. | A and B are not independent events |
| C. | A and B are independent events |
| D. | None of these |
| Answer» D. None of these | |
| 765. |
A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event'the number appearing is even' then find whether G and H are independent ? |
| A. | G and H are not independent events. |
| B. | G and H are independent events. |
| C. | Only G independent event |
| D. | None of these |
| Answer» C. Only G independent event | |
| 766. |
If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B) |
| A. | 0.32 |
| B. | 0.36 |
| C. | 0.16 |
| D. | 0.64 |
| Answer» C. 0.16 | |
| 767. |
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4, find P (E|F) and P(F|E) |
| A. | 3/4,2 |
| B. | 1/4,1 |
| C. | 1,1/4 |
| D. | None of these |
| Answer» D. None of these | |
| 768. |
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once? |
| A. | 1/5 |
| B. | 3/5 |
| C. | 2/5 |
| D. | None of these |
| Answer» D. None of these | |
| 769. |
Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.What is the probability that first two cards are queens and the third card drawn is an ace? |
| A. | 2/5530 |
| B. | 3/5525 |
| C. | 2/5525 |
| D. | 4/5525 |
| Answer» B. 3/5525 | |
| 770. |
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black? |
| A. | 1/7 |
| B. | 2/7 |
| C. | 7/3 |
| D. | 3/7 |
| Answer» E. | |
| 771. |
If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)? |
| A. | 6/3 |
| B. | 2/5 |
| C. | 2/7 |
| D. | 2/3 |
| Answer» E. | |
| 772. |
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B) |
| A. | 6/15 |
| B. | 3/4 |
| C. | 3/2 |
| D. | None of these |
| Answer» D. None of these | |
| 773. |
If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)? |
| A. | 4/13 |
| B. | 5/13 |
| C. | 6/13 |
| D. | None of these |
| Answer» B. 5/13 | |
| 774. |
What is the probability of getting 53 Mondays in a leap year? |
| A. | 1/7 |
| B. | 3/7 |
| C. | 2/7 |
| D. | 1 |
| Answer» D. 1 | |
| 775. |
In a class, there 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. | 1/5 |
| C. | 3/25 |
| D. | 1/50 |
| Answer» B. 1/5 | |
| 776. |
A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of |
| A. | 632/713 |
| B. | 752/833 |
| C. | 833/858 |
| D. | none of these |
| Answer» D. none of these | |
| 777. |
A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is: - |
| A. | 2/126 |
| B. | 3/286 |
| C. | 12/121 |
| D. | 13/211 |
| Answer» C. 12/121 | |
| 778. |
In a class, there are 12 boys and 16 girls. One of them is called out by an enroll number, what is the probability that the one called is a girl? |
| A. | 1/4 |
| B. | 2/5 |
| C. | 4/7 |
| D. | 5/12 |
| Answer» D. 5/12 | |
| 779. |
Two dice are thrown simultaneously. What is the probability of getting the face numbers are same? |
| A. | 1/6 |
| B. | 2/3 |
| C. | 4/9 |
| D. | 5/6 |
| Answer» B. 2/3 | |
| 780. |
Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at most 5? |
| A. | 2/9 |
| B. | 2/18 |
| C. | 4/9 |
| D. | 5/18 |
| Answer» E. | |
| 781. |
Two dice are tossed. The probability that the total score is a prime number is: |
| A. | 5/12 |
| B. | 1/6 |
| C. | 1/2 |
| D. | 7/9 |
| Answer» B. 1/6 | |
| 782. |
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? |
| A. | 2/7 |
| B. | 5/7 |
| C. | 1/5 |
| D. | 1/2 |
| Answer» B. 5/7 | |
| 783. |
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability |
| A. | 2/7 |
| B. | 1/7 |
| C. | 3/4 |
| D. | 4/5 |
| Answer» B. 1/7 | |
| 784. |
The probability function is always |
| A. | Negative |
| B. | Non Negative |
| C. | Positive |
| D. | None of these |
| Answer» C. Positive | |
| 785. |
For distribution Function F(X), F(−∞)=0 and F(∞)= ? |
| A. | 0 |
| B. | -1 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 786. |
Probability distribution of a random variable is also known as |
| A. | Probability |
| B. | Probability Function |
| C. | Distribution Function |
| D. | Probability Distribution |
| Answer» C. Distribution Function | |
| 787. |
Total Area under the curve in probability of density function is |
| A. | 0 |
| B. | -1 |
| C. | 1 |
| D. | Infinity |
| Answer» D. Infinity | |
| 788. |
A discrete probability distribution may be represented by |
| A. | A table |
| B. | A graph |
| C. | A mathematical Equation |
| D. | All of these |
| Answer» E. | |
| 789. |
The distribution function F(X) is represented by |
| A. | P(X) |
| B. | P(X=x) |
| C. | P(X>x) |
| D. | P(X≤x) |
| Answer» E. | |
| 790. |
If C is non-random variable, the E(C) is |
| A. | o |
| B. | 1 |
| C. | 2 |
| D. | C |
| Answer» E. | |
| 791. |
For a random variable X, E(X) is |
| A. | Harmonic Mean (HM) |
| B. | Geometric Mean (GM) |
| C. | Arithmetic Mean (AM) |
| D. | None of these |
| Answer» D. None of these | |
| 792. |
For a probability density function (pdf), the probability of a single point is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | Constant |
| Answer» B. 1 | |
| 793. |
Probability of occurrence of an event lies between |
| A. | 0 and 1 |
| B. | -1 and 0 |
| C. | -1 and 1 |
| D. | exactly 1 |
| Answer» B. -1 and 0 | |
| 794. |
The mean of hypergeometric distribution is |
| A. | nk/N |
| B. | n-k/N |
| C. | n+k/N |
| D. | nn/N |
| Answer» B. n-k/N | |
| 795. |
The mean, median and mode for binomial distribution will be equal when |
| A. | p =0.5 |
| B. | p< 0.5 |
| C. | p> 0.5 |
| D. | p= 1 |
| Answer» B. p< 0.5 | |
| 796. |
If in a binomial distribution n = 1 then E(X) is |
| A. | q |
| B. | p |
| C. | 0 |
| D. | 1 |
| Answer» C. 0 | |
| 797. |
In hypergeometric distribution, the trials are |
| A. | Dependent |
| B. | Independent |
| C. | Collectively Exhaustive |
| D. | None of these |
| Answer» B. Independent | |
| 798. |
Binomial distribution is symmetrical when |
| A. | p = q |
| B. | p > q |
| C. | p < q |
| D. | np > npq |
| Answer» B. p > q | |
| 799. |
Which of the following is not the property of binomial distribution |
| A. | n is fixed |
| B. | has two outcomes |
| C. | Trials are independent |
| D. | Probability of success varies from trial to trial |
| Answer» E. | |
| 800. |
A fair coin is tossed four times, the probability of getting four heads is |
| A. | 1/4 |
| B. | 1/8 |
| C. | 1/16 |
| D. | 1/32 |
| Answer» D. 1/32 | |