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This section includes 45 Mcqs, each offering curated multiple-choice questions to sharpen your Maharashtra CET knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
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. | 11/102 |
| B. | 13/102 |
| C. | 11/104 |
| D. | 11/102 |
| Answer» C. 11/104 | |
| 2. |
Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white |
| A. | 1 |
| B. | 2/3 |
| C. | 1/3 |
| D. | 4/3 |
| Answer» C. 1/3 | |
| 3. |
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. | 52/55 |
| B. | 3/55 |
| C. | 41/44 |
| D. | 3/44 |
| Answer» D. 3/44 | |
| 4. |
From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings |
| A. | 2/121 |
| B. | 2/221 |
| C. | 1/221 |
| D. | 1/13 |
| Answer» D. 1/13 | |
| 5. |
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident |
| A. | 30% |
| B. | 35% |
| C. | 40% |
| D. | 45% |
| Answer» C. 40% | |
| 6. |
From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn. |
| A. | 3/13 |
| B. | 1/52 |
| C. | 1/4 |
| D. | None of above |
| Answer» B. 1/52 | |
| 7. |
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. | 1/13 |
| B. | 2/13 |
| C. | 2/13 |
| D. | 1/52 |
| Answer» D. 1/52 | |
| 8. |
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 blue nor green? |
| A. | 2/3 |
| B. | 8/21 |
| C. | 3/7 |
| D. | 9/22 |
| Answer» C. 3/7 | |
| 9. |
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ? |
| A. | 3/4 |
| B. | 1/4 |
| C. | 7/4 |
| D. | 1/2 |
| Answer» B. 1/4 | |
| 10. |
What is the probability of getting a sum 9 from two throws of dice. |
| A. | 1/3 |
| B. | 1/9 |
| C. | 1/12 |
| D. | 2/9 |
| Answer» C. 1/12 | |
| 11. |
In a throw of dice what is the probability of getting number greater than 5 |
| A. | 1/2 |
| B. | 1/3 |
| C. | 1/5 |
| D. | 1/6 |
| Answer» E. | |
| 12. |
Three unbiased coins are tossed, what is the probability of getting at least 2 tails ? |
| A. | 1/3 |
| B. | 1/6 |
| C. | 1/2 |
| D. | 1/8 |
| Answer» D. 1/8 | |
| 13. |
In a throw of coin what is the probability of getting tails. |
| A. | 1 |
| B. | 2 |
| C. | 1/2 |
| D. | 0 |
| Answer» D. 0 | |
| 14. |
A letter is chosen at random from the letters of the word �ASSASSINATION�. The probability that the letter chosen has: |
| A. | 6/13 |
| B. | 7/13 |
| C. | 1 |
| D. | none of these. |
| Answer» C. 1 | |
| 15. |
If three coins are tossed simultaneously, than the probability of getting at least two heads, is |
| A. | 1/4 |
| B. | 3/8 |
| C. | 1/2 |
| D. | 1/8 |
| Answer» D. 1/8 | |
| 16. |
The sum of the probability of an event and non event is : |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | none of these. |
| Answer» C. 0 | |
| 17. |
The probability that a prime number selected at random from the numbers (1,2,3, ..........35) is : |
| A. | 12/35 |
| B. | 11/35 |
| C. | 13/35 |
| D. | none of these |
| Answer» C. 13/35 | |
| 18. |
What is the probability that a number selected from the numbers (1, 2, 3,..........,15) is a multiple of 4? |
| A. | 1/5 |
| B. | 4/5 |
| C. | 2/15 |
| D. | 1/3 |
| Answer» B. 4/5 | |
| 19. |
The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow |
| A. | 0.25 |
| B. | 0.145 |
| C. | 3/20 |
| D. | none of these |
| Answer» D. none of these | |
| 20. |
A bag contains 3 red and 2 blue marbles. A marble is drawn at random. The probability of drawing a black ball is : |
| A. | 3/5 |
| B. | 2/5 |
| C. | 0/5 |
| D. | 1/5 |
| Answer» D. 1/5 | |
| 21. |
The probability of a leap year selected at random contain 53 Sunday is: |
| A. | 53/ 366 |
| B. | 1/7 |
| C. | 2/7 |
| D. | 53/365 |
| Answer» B. 1/7 | |
| 22. |
Three coins are tossed. What is the probability of getting at most two tails? |
| A. | 7/8 |
| B. | 1/8 |
| C. | 2/8 |
| D. | 4/8 |
| Answer» B. 1/8 | |
| 23. |
A box has 10 black and 10 white balls. What is the probability of getting two balls of the same color? |
| A. | 10/19 |
| B. | 9/38 |
| C. | 9/19 |
| D. | 5/38 |
| Answer» D. 5/38 | |
| 24. |
A dice is rolled twice. What is the probability of getting sum 9? |
| A. | 2/3 |
| B. | 1/3 |
| C. | 1/9 |
| D. | 3/9 |
| Answer» D. 3/9 | |
| 25. |
A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked. |
| A. | 1/50 |
| B. | 3/25 |
| C. | 21/46 |
| D. | 25/122 |
| Answer» D. 25/122 | |
| 26. |
Two dice are tossed simultaneously. Find the probability that the total is a prime number. |
| A. | 7/9 |
| B. | 5/12 |
| C. | 1/6 |
| D. | 5/9 |
| Answer» E. | |
| 27. |
Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7? |
| A. | 9/25 |
| B. | 9/50 |
| C. | 18/25 |
| D. | None of these |
| Answer» B. 9/50 | |
| 28. |
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected? |
| A. | 8/35 |
| B. | 34/35 |
| C. | 27/35 |
| D. | None of these |
| Answer» B. 34/35 | |
| 29. |
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 | |
| 30. |
Suresh keeps all his socks in a single drawer. He has 24 pairs of white socks and 18 pairs of grey socks. Suresh picks 3 socks randomly. Find the possibility of Suresh choosing a matching pair. |
| A. | 1/36 |
| B. | 1/108 |
| C. | 7/36 |
| D. | 1 |
| Answer» E. | |
| 31. |
What will be the possibility of drawing a jack or a spade from a well shuffled standard deck of 52 playing cards? |
| A. | 4/13 |
| B. | 1/26 |
| C. | 1/13 |
| D. | 17/52 |
| Answer» B. 1/26 | |
| 32. |
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. | 4/105 |
| B. | 1/35 |
| C. | 1/105 |
| D. | 1/15 |
| Answer» B. 1/35 | |
| 33. |
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. | 3/4 |
| B. | 7/10 |
| C. | 4/3 |
| D. | 1/10 |
| Answer» C. 4/3 | |
| 34. |
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. | 9/14 |
| B. | 31/48 |
| C. | 1 |
| D. | 1/2 |
| Answer» C. 1 | |
| 35. |
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. | 13/30 |
| B. | 22/30 |
| C. | 17/30 |
| D. | 9/13 |
| Answer» D. 9/13 | |
| 36. |
A box has 6 black, 4 red, 2 white and 3 blue shirts. Find the probability of drawing 2 black shirts if they are picked randomly? |
| A. | 1/8 |
| B. | 2/15 |
| C. | 6/15 |
| D. | 1/7 |
| Answer» B. 2/15 | |
| 37. |
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. | 18/455 |
| B. | 7/15 |
| C. | 7/435 |
| D. | 7/2730 |
| Answer» B. 7/15 | |
| 38. |
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. | 4/15 |
| B. | 24/455 |
| C. | 69/91 |
| D. | 22/91 |
| Answer» D. 22/91 | |
| 39. |
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. | 4/9 |
| B. | 29/72 |
| C. | 8/72 |
| D. | 3/16 |
| Answer» C. 8/72 | |
| 40. |
What is the possibility of having 53 Thursdays in a non-leap year? |
| A. | 6/7 |
| B. | 1/7 |
| C. | 1/365 |
| D. | 53/365 |
| Answer» C. 1/365 | |
| 41. |
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. | 5/14 |
| B. | 5/8 |
| C. | 3/8 |
| D. | 5/16 |
| Answer» E. | |
| 42. |
In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color? |
| A. | 4/11 |
| B. | 1 |
| C. | 2/33 |
| D. | 19/66 |
| Answer» E. | |
| 43. |
When two coins are tossed simultaneously, what are the chances of getting at least one tail? |
| A. | 3/4 |
| B. | 1/5 |
| C. | 4/5 |
| D. | 1/4 |
| Answer» E. | |
| 44. |
What is probability of drawing two clubs from a well shuffled pack of 52 cards? |
| A. | 13/51 |
| B. | 1/17 |
| C. | 1/26 |
| D. | 13/17 |
| Answer» C. 1/26 | |
| 45. |
What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys? |
| A. | 1/21 |
| B. | 4/7 |
| C. | 2/7 |
| D. | 5/7 |
| Answer» E. | |