MCQOPTIONS
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MCQOPTIONS
This section includes 21 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
From a pack of 52 cards two cards are drawn at random. What is the probability that it has no digit cards ? |
| A. | $$ {17 over 221}$$ |
| B. | $$ {18 over 224}$$ |
| C. | $$ {19 over 223}$$ |
| D. | $$ {15 over 221}$$ |
| E. | $$ {20 over 221}$$ |
| Answer» F. | |
| 2. |
If three roses are picked at random, what is the probability that either all are yellow or all are red roses? |
| A. | $$ {2 over 65}$$ |
| B. | $$ {1 over 65}$$ |
| C. | $$ {3 over 65}$$ |
| D. | $$ {4 over 65}$$ |
| E. | $$ {7 over 65}$$ |
| Answer» B. $$ {1 over 65}$$ | |
| 3. |
If three roses are drawn at random, what is the probability that at least one is white rose? |
| A. | $$ {51 over 65}$$ |
| B. | $$ {58 over 65}$$ |
| C. | $$ {54 over 65}$$ |
| D. | $$ {53 over 65}$$ |
| E. | $$ {52 over 65}$$ |
| Answer» E. $$ {52 over 65}$$ | |
| 4. |
If three roses are drawn at random, what is the probability that all are red roses? |
| A. | $$ {6 over 91}$$ |
| B. | $$ {2 over 91}$$ |
| C. | $$ {3 over 91}$$ |
| D. | $$ {4 over 91}$$ |
| E. | $$ {5 over 91}$$ |
| Answer» C. $$ {3 over 91}$$ | |
| 5. |
9 persons are seated around a round table. What is the probability that two particular persons sit together? |
| A. | $$ {1 over 4}$$ |
| B. | $$ {2 over 5}$$ |
| C. | $$ {1 over 3}$$ |
| D. | $$ {3 over 4}$$ |
| E. | $$ {2 over 3}$$ |
| Answer» B. $$ {2 over 5}$$ | |
| 6. |
A bag contains 8 yellow and 3 green balls. Two balls are drawn in succession at random. What is the probability that one of them is yellow and the other is green? |
| A. | $$ {21 over 55}$$ |
| B. | $$ {23 over 55}$$ |
| C. | $$ {21 over 53}$$ |
| D. | $$ {20 over 53}$$ |
| E. | $$ {24 over 55}$$ |
| Answer» F. | |
| 7. |
Find the odds in favour of getting a green ball. |
| A. | 3 : 5 |
| B. | 4 : 5 |
| C. | 3 : 4 |
| D. | 5 : 4 |
| E. | 5 : 3 |
| Answer» F. | |
| 8. |
Find the odd against getting a purple ball. |
| A. | 5 : 3 |
| B. | 4 : 3 |
| C. | 3 : 4 |
| D. | 3 : 5 |
| E. | 4 : 5 |
| Answer» B. 4 : 3 | |
| 9. |
If probability of drawing 1 ball such that it is not green is $$ { 4 over 5}$$, then sum of the number of red and white balls is |
| A. | 20 |
| B. | 30 |
| C. | 24 |
| D. | 16 |
| E. | None of these |
| Answer» D. 16 | |
| 10. |
If sum of green and white balls is 16, then what is the probability of drawing 2 balls of same colour? |
| A. | $$ {151 over 870}$$ |
| B. | $$ {151 over 435}$$ |
| C. | $$ {151 over 145}$$ |
| D. | $$ {151 over 435}$$ |
| E. | None of these |
| Answer» C. $$ {151 over 145}$$ | |
| 11. |
If Probability of drawing 1 green ball from the bag is $${1 over 5}$$, then what is the probability of drawing 2 balls such that none of them is red? |
| A. | 3/29 |
| B. | 4/29 |
| C. | 8/29 |
| D. | 8/87 |
| E. | None of these |
| Answer» D. 8/87 | |
| 12. |
If sum of red, green and white balls is 30, then what is the probability of drawing 2 white balls from the bag? |
| A. | 3/29 |
| B. | 5/58 |
| C. | 9/58 |
| D. | 10/87 |
| E. | None of these |
| Answer» B. 5/58 | |
| 13. |
In a bag, there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red ? |
| A. | 29/35 |
| B. | 7/15 |
| C. | 23/35 |
| D. | 2/5 |
| E. | 19/35 |
| Answer» D. 2/5 | |
| 14. |
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 balls drawn is blue? |
| A. | $$ 10 over21$$ |
| B. | $$ 11 over21$$ |
| C. | $$ 2 over7$$ |
| D. | $$ 5 over7$$ |
| E. | None of these |
| Answer» B. $$ 11 over21$$ | |
| 15. |
What is the probability of forming word from the letters of word IMPEACH such that all vowels come together? |
| A. | $$ {8 over 35}$$ |
| B. | $$ {1 over 7}$$ |
| C. | $$ {3 over 35}$$ |
| D. | $$ {17 over 35}$$ |
| E. | $$ {2 over 7}$$ |
| Answer» C. $$ {3 over 35}$$ | |
| 16. |
In how many different ways can the letters of the word 'NATIONAL' be arranged? |
| A. | 6720 |
| B. | 5040 |
| C. | 10080 |
| D. | 1020 |
| E. | 3360 |
| Answer» D. 1020 | |
| 17. |
There are some coins and rings of either gold or silver in a box. 60% of the objects are coins, 40% of the rings are of gold and 30% of the coins are silver. What is the percentage of gold articles? |
| A. | 58 |
| B. | 27 |
| C. | 16 |
| D. | 70 |
| Answer» B. 27 | |
| 18. |
In a bag there are 4 white, 4 red and 2 green boxes. Two boxes are drawn at random. What is the probability that at least one boxes is of red colour? |
| A. | $${4 over3}$$ |
| B. | $${7 over3}$$ |
| C. | $${1 over3}$$ |
| D. | $${2 over3}$$ |
| E. | None of these |
| Answer» E. None of these | |
| 19. |
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? |
| A. | $$ 1 over15$$ |
| B. | $$ 25 over57$$ |
| C. | $$ 35 over256$$ |
| D. | $$ 1 over221$$ |
| E. | None of these |
| Answer» E. None of these | |
| 20. |
Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? |
| A. | 69760 |
| B. | 69970 |
| C. | 67960 |
| D. | 65760 |
| E. | 69790 |
| Answer» B. 69970 | |
| 21. |
There are 3 green, 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is the probability of having either a green or a white bulb? |
| A. | 3/4 |
| B. | 2/3 |
| C. | 4/3 |
| D. | 2/5 |
| E. | None of these |
| Answer» C. 4/3 | |