Probability 1

PROBABILITY
1. What is the probability that a number selected from 1 to 30 is prime number, when each of the
given numbers is equally likely to be selected?
(a) 9/30 (b) 8/30 (c) 10/30 (d) 11/30
2. There are four hotels in a town. If 3 men check into the hotels in a day then what is the
probability that each checks into a different hotel?
(a) 6/7 (b) 1/8 (c) 3/8 (d) 5/9
3. 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 colour?
(a) 4/11 (b) 1 (c) 2/33 (d) 19/66
4. When two dice are thrown simultaneously, what is the probability that the sum of the two
numbers that turn up is less than 11?
(a) 5/6 (b) 11/12 (c) 1/6 (d) 1/12
5. 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
6. What is the possibility of having 53 Thursdays in a non-leap year?

(a) 1/7 (b) 6/7 (c) 1/365 (d) 53/365
7. On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face
is 8. What is the probability that the first throw of dice yields 4?
(a) 2/36 (b) 1/36 (c) 1/6 (d) 1/5
8. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and
one is a heart, is:
(a) 47/100 (b) 13/102 (c) 29/34 (d) 3/20
9. In a class, 40% of the students study math and science. 60% of the students study math.
What is the probability of a student studying science given he/she is already studying math?
(a) 0.54 (b) 0.72 (c) 0.67 (d) 0.84
10. A speaks truth in 55% cases and B speaks truth in 75% cases. Find the percentage of cases
they are likely to contradict each other in stating the fact?
(a) 36.4% (b) 56.8%
(c) 63.2% (d) 47.5%
11. 14. 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 that only one of them is selected?
(a) 2/7 (b) 1/7 (c) 3/4 (d) 4/5
12. Amit throws three dice in a special game of Ludo. If it is known that he needs 15 or higher in
this throw to win, then find the chance of his winning the game.
(a) 5/54 (b) 17/216 (c) 13/216 (d) 15/216
13. Two dice are thrown together. What is the probability that the sum of the numbers on the two
faces is divisible by 4 or 6?
(a) 1/12 (b) 1/3 (c) 7/15 (d) 7/18
14. A family has two children. Find the probability that both the children are girls given that at
least one of them is a girl?
A. 1/3
B. 3/4
C. 2/3
D. 2/4
15. 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. 10/21
B. 11/21
C. 2/7
D. 5/7
16. 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. 1/2
B. 1/52
C. 1/26
D. 1/13
Arithmetic Progression
1. If 3rd and 7th terms of an AP are 19 and 29 respectively. Find its first term?
2. What is the nth term of an AP 9, 13, 17, 21, 25, ...?
3. Find the 17th term of AP 4, 9,14, ..
4. If the first, second and last terms of the AP are 5, 9, 101, respectively, find the total number of
terms in the AP?
5. How many terms are there in

20, 25, 30 ......140?
A. 22
B. 25
С. 23
D. 24
6. Find the 15th term of the sequence

20,15,10.....
A. -45
В. -55
С. -50
D. 0
7. The sum of the first 16 terms of an

AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 680
C. 640
D. 765
8. The 7th term of an AP is -39/12 and the 15th term is -103/12. What is the 27th term?
A. -187/12
B. -191/12
C. -199/12
D. -205/12
9. In an AP of 21 terms, the sum of the first 3 terms is – 33 and that of the middle 3 is 75. What is
the sum of the AP?
A. -955
B. -1155
C. 525
D. 715
10. The 6th term of an AP is 6 and the 16th term is 14. What is the 27th term?
A. 106/5
B. 22/5
C. 118/5
D. 114/5
11. In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is 11, what is the 15th
term?
A. 28
B. 31
C. 33
D. 36
12. The sum of the first 3 terms in an AP is 6 and that of the last 3 is 16. If the AP has 13 terms,
what is the sum of the middle three terms?
A. 7
B. 9
C. 11
D. 13
13. In an AP, the ratio of the 7th term to the 10th term is -1. If the 16th term is -15, what is the 3rd
term?
A. 11
B. 13
C. -11
D. -13
14. In an AP, the sum of the first 3 terms is -36 and that of the last 3 is 27. If there are 10 terms,
what are the 1 st term and the common difference respectively?
A. 15, 3
B. -15, 3
C. 15, -3
D. -15, -3
15. In an AP, the sum of the first 3 terms is – 60 and that of the last 3 are 84. If there are 15
terms, what is the sum of the middle 3 terms?
A. 8
B. 12
C. 16
D. 24
16. In an AP, the ratio of the 2nd term to the 6th term is 2/5. If the 8th term is 26, what is the 10th
term?
A. 28
B. 29
C. 32
D. 33
17. The sum of the first 3 terms in an AP is 51 and that of the last 3 is 99. If the AP has 11 terms,
what is the arithmetic mean of the middle 3 terms?
A. 17
B. 19
C. 21
D. 25

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PROBABILITY

6. What is the possibility of having 53 Thursdays in a non-leap year?

2. What is the nth term of an AP 9, 13, 17, 21, 25, ...?

3. Find the 17th term of AP 4, 9,14, ..

5. How many terms are there in

6. Find the 15th term of the sequence

7. The sum of the first 16 terms of an

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