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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.
| 601. |
sec(x) has a trigonometric series that is given by _______ |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» B. b | |
| 602. |
A number is selected from the first 20 natural numbers. Find the probability that it would be divisible by 3 or 7? |
| A. | \(\frac{19}{46}\) |
| B. | \(\frac{24}{67}\) |
| C. | \(\frac{12}{37}\) |
| D. | \(\frac{7}{20}\) |
| Answer» E. | |
| 603. |
There are a total of 50 distinct books on a shelf such as 20 math books, 16 physics books, and 14 chemistry books. Find is the probability of getting a book that is not a chemistry book or not a physics book. |
| A. | \(\frac{4}{17}\) |
| B. | \(\frac{43}{50}\) |
| C. | \(\frac{12}{31}\) |
| D. | 1 |
| Answer» E. | |
| 604. |
If spinner has 3 equal sectors colored yellow, blue and red, then the probability of landing on red or yellow after spinning this spinner is _______ |
| A. | \(\frac{2}{3}\) |
| B. | \(\frac{4}{7}\) |
| C. | \(\frac{6}{17}\) |
| D. | \(\frac{23}{47}\) |
| Answer» B. \(\frac{4}{7}\) | |
| 605. |
There are 24 red marbles in a bag 68 marbles, and 8 of those marbles are both red and white striped. 27 marbles are white striped and of those marbles, the same 8 marbles would be both red and white striped). Find the probability of drawing out a marble from the bag that is either red or white striped. |
| A. | \(\frac{12}{35}\) |
| B. | \(\frac{43}{68}\) |
| C. | \(\frac{26}{68}\) |
| D. | \(\frac{32}{55}\) |
| Answer» C. \(\frac{26}{68}\) | |
| 606. |
If a fair 15-sided dice is rolled, then is the probability that the roll is an odd number or prime number or both? |
| A. | \(\frac{3}{20}\) |
| B. | \(\frac{4}{19}\) |
| C. | \(\frac{9}{20}\) |
| D. | \(\frac{17}{20}\) |
| Answer» D. \(\frac{17}{20}\) | |
| 607. |
Neha has 4 yellow t-shirts, 6 black t-shirts, and 2 blue t-shirts to choose from for her outfit today. She chooses a t-shirt randomly with each t-shirt equally likely to be chosen. Find the probability that a black or blue t-shirt is chosen for the outfit. |
| A. | \(\frac{8}{13}\) |
| B. | \(\frac{5}{6}\) |
| C. | \(\frac{1}{2}\) |
| D. | \(\frac{7}{12}\) |
| Answer» D. \(\frac{7}{12}\) | |
| 608. |
The joint probability is |
| A. | Also called Prior probability |
| B. | Based on two mutually exclusive events |
| C. | The likelihood of two events happening together |
| D. | The likelihood of an event happening given that another event has already happened |
| Answer» D. The likelihood of an event happening given that another event has already happened | |
| 609. |
The collection of one or more outcomes from an experiment is called |
| A. | Event |
| B. | Z-Value |
| C. | Probability |
| D. | Random Variable |
| Answer» B. Z-Value | |
| 610. |
Which of the following is not a correct statement about a probability. |
| A. | A value near 0 means that the event is not likely to occur/happens |
| B. | It can be reported as a decimal or a fraction |
| C. | It must have a value between 0 and 1 |
| D. | It is the collection of several experiments |
| Answer» E. | |
| 611. |
If the occurrence of one event means that another cannot happen, then the events are |
| A. | Bayesian |
| B. | Empirical |
| C. | Independent |
| D. | Mutually Exclusive |
| Answer» E. | |
| 612. |
If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven? |
| A. | 1/26 |
| B. | 4/52 |
| C. | 8/52 |
| D. | 1/169 |
| Answer» D. 1/169 | |
| 613. |
Which of the following is not an example of a discrete probability distribution? |
| A. | The number of bathrooms in a house |
| B. | The sale or purchase price of a house |
| C. | The number of bedrooms in a house |
| D. | Whether or not a home has a swimming pool in it. |
| Answer» C. The number of bedrooms in a house | |
| 614. |
In which approach to probability the outcomes are equally likely to occur? |
| A. | Classical Probability |
| B. | Subjective Probability |
| C. | Relative Frequency |
| D. | Independent |
| Answer» B. Subjective Probability | |
| 615. |
A bag contains 2 red, 3 green and 2 blue balls.Two balls are drawn at random.What is the probability that none of the drawn ball is blue? |
| A. | 5/21 |
| B. | 10/21 |
| C. | 15/21 |
| D. | 20/21 |
| Answer» C. 15/21 | |
| 616. |
A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident? |
| A. | 15% |
| B. | 25% |
| C. | 35% |
| D. | 45% |
| Answer» D. 45% | |
| 617. |
A bag contains 6 white and 4 black balls. Two balls are drawn at random. Find the probability that they are of same colour. |
| A. | 1 |
| B. | 2/15 |
| C. | 3 |
| D. | 7/15 |
| Answer» E. | |
| 618. |
Two dice are thrown simultaneously ,what is the probability of getting a total of 7? |
| A. | 1/3 |
| B. | 1/6 |
| C. | 1/12 |
| D. | 1/24 |
| Answer» C. 1/12 | |
| 619. |
Two unbiased coin are tossed .What is the probability of getting at most one head? |
| A. | 1/4 |
| B. | 2 |
| C. | 3/4 |
| D. | 1 |
| Answer» D. 1 | |
| 620. |
In random experiment, observations of random variable are classified as |
| A. | composition |
| B. | functions |
| C. | events |
| D. | trials |
| Answer» E. | |
| 621. |
Formula to calculate standardized normal random variable is |
| A. | x - μ ⁄ σ |
| B. | x + μ ⁄ σ |
| C. | x - σ ⁄ μ |
| D. | x + σ ⁄ μ |
| Answer» B. x + μ ⁄ σ | |
| 622. |
In binomial probability distribution, dependents of standard deviations must includes |
| A. | probability of q |
| B. | probability of p |
| C. | trials |
| D. | all of above |
| Answer» E. | |
| 623. |
There is a pack of 52 cards and Rohan draws two cards together, what is the probability that one is spade and one is heart ? |
| A. | 3/102 |
| B. | 13/102 |
| C. | 23/102 |
| D. | 33/102 |
| Answer» C. 23/102 | |
| 624. |
Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white |
| A. | 1/3 |
| B. | 2/3 |
| C. | 1 |
| D. | 4/3 |
| Answer» C. 1 | |
| 625. |
A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour. |
| A. | 3/44 |
| B. | 31/44 |
| C. | 41/44 |
| D. | 61/44 |
| Answer» D. 61/44 | |
| 626. |
From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings |
| A. | 1/13 |
| B. | 1/57 |
| C. | 1/119 |
| D. | 1/221 |
| Answer» E. | |
| 627. |
Five coins are tossed at a time. Then, the probability of obtaining at least one tail is |
| A. | 31/32 |
| B. | 1/32 |
| C. | 1/5 |
| D. | 5/32 |
| Answer» B. 1/32 | |
| 628. |
Out of 13 applicants for a job, there are 5 women and 8 men It is desired to select 2 persons for the job, The probability that atleast one of the selected persons will be a woman, is |
| A. | 25/39 |
| B. | 14/35 |
| C. | 5/13 |
| D. | 10/13 |
| Answer» B. 14/35 | |
| 629. |
Tow persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/3 and 1/6 respectively, then the probability that none of them is selected, is |
| A. | 5/8 |
| B. | 5/12 |
| C. | 1/12 |
| D. | 1/24 |
| Answer» B. 5/12 | |
| 630. |
The probability that a man will be alive for 10 more years is 1/4 and the probability that his wife will alive for 10 more years is 1/3 .The probability that none of them will be alive for 10 more yea |
| A. | 9/10000 |
| B. | 9/10 |
| C. | 999/100 |
| D. | 9999/10000 |
| Answer» D. 9999/10000 | |
| 631. |
Three mangoes and three apples are kept in a box. if two fruits are chosen at random. find the probability that one is a mango and the other is an apple. |
| A. | 2/3 |
| B. | 3/5 |
| C. | 1/3 |
| D. | 1/5 |
| Answer» C. 1/3 | |
| 632. |
An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it ,The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2, and 0. |
| A. | 0.4379 |
| B. | 0.6872 |
| C. | 0.6976 |
| D. | 0.3507 |
| Answer» D. 0.3507 | |
| 633. |
In a ward-robe, Nitish has 3 trousers. One of them is black, second is blue and third brown. In this ward-robe, he has 4 shirts also. One of them is black and the other 3 are white. He opens his ward- |
| A. | 1/12 |
| B. | 1/6 |
| C. | 1/4 |
| D. | 1/2 |
| Answer» E. | |
| 634. |
A bag contains 3 red, 4 white and 7 black balls. The probability of drawing a red or a black ball, is |
| A. | 4/7 |
| B. | 1/7 |
| C. | 5/7 |
| D. | 3/7 |
| Answer» D. 3/7 | |
| 635. |
A box contains 24 marbles, some are green and other are blue. If a marble is drawn at random from the box, the porbability that it is green is 2/3. The number of blue balls in the box is |
| A. | 13 |
| B. | 12 |
| C. | 16 |
| D. | 8 |
| Answer» E. | |
| 636. |
A and B are two events such that P(A) = 0.3 and P ( A∪B) = 0.8. If A and B are independent, then P (B) is |
| A. | 2/3 |
| B. | 3/8 |
| C. | 2/7 |
| D. | 4/7 |
| Answer» E. | |
| 637. |
A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is |
| A. | 4/19 |
| B. | 5/19 |
| C. | 6/19 |
| D. | 7/19 |
| Answer» E. | |
| 638. |
A box contains 3 white and 2 red balls. If we draw one ball and ball and without replacing the first ball. The probability of drawing red ball in the second drawn is ? |
| A. | 8/25 |
| B. | 2/5 |
| C. | 3/5 |
| D. | 21/25 |
| Answer» C. 3/5 | |
| 639. |
if from each of the three boxes containing 3 white and 1 black, 2 white and 2 black and 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black ball will |
| A. | 13/32 |
| B. | 1/4 |
| C. | 1/32 |
| D. | 3/16 |
| Answer» B. 1/4 | |
| 640. |
A card is drawn at random from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king ? |
| A. | 4/13 |
| B. | 9/13 |
| C. | 2/13 |
| D. | 4/13 |
| Answer» C. 2/13 | |
| 641. |
Two cards are drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces ? |
| A. | 1/221 |
| B. | 2/13 |
| C. | 2/26 |
| D. | None of these |
| Answer» B. 2/13 | |
| 642. |
If four balls are picked at random, what is the probability that two are green and two are blue ? |
| A. | 1/18 |
| B. | 1/70 |
| C. | 3/5 |
| D. | 1/2 |
| Answer» C. 3/5 | |
| 643. |
If three caps are picked at random, what is the probability that two are red and one is green ? |
| A. | 9/22 |
| B. | 6/19 |
| C. | 1/6 |
| D. | 3/22 |
| Answer» E. | |
| 644. |
If four caps are picked at random, what is the probability that none is green ? |
| A. | 7/99 |
| B. | 5/99 |
| C. | 7/12 |
| D. | 5/12 |
| Answer» B. 5/99 | |
| 645. |
If four marbles are picked at random, what is the probability that one is green, two are blue and one is red ? |
| A. | 24/455 |
| B. | 13/35 |
| C. | 11/15 |
| D. | 7/91 |
| Answer» B. 13/35 | |
| 646. |
If two marbles are picked at random, what is the probability that either both are green or both are yellow ? |
| A. | 5/91 |
| B. | 1/35 |
| C. | 1/3 |
| D. | 4/105 |
| Answer» E. | |
| 647. |
If four marbles are picked at random, what is the probability that at least one is blue ? |
| A. | 4/15 |
| B. | 69/91 |
| C. | 11/15 |
| D. | 22/91 |
| Answer» E. | |
| 648. |
If three marbles are picked at random, what is the probability that two are blue and one is yellow ? |
| A. | 3/91 |
| B. | 1/5 |
| C. | 18/455 |
| D. | 7/15 |
| Answer» D. 7/15 | |
| 649. |
If two marbles are picked at random, what is the probability that both marbles are red ? |
| A. | 1/6 |
| B. | 1/3 |
| C. | 2/15 |
| D. | None of the above |
| Answer» E. | |
| 650. |
An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two are green and one is red ? |
| A. | 3/7 |
| B. | 18/35 |
| C. | 5/14 |
| D. | 4/21 |
| Answer» C. 5/14 | |