Permutation and Combination (Algebra, Teaching Exam Part-2)

Total Questions: 50

1. The number of committees of five persons including a chairperson can be selected from 12 persons, is: [KVS PGT 23-12-2018]

Correct Answer: (d) 3960
Solution:

2. If the integers m and n are chosen at random from the numbers between 1 and 100, then probability that a number of the form (7ᵐ+7ⁿ) is divisible by 5 is: [KVS PGT 23-12-2018]

Correct Answer: (a) 1/4
Solution:

3. Solve the following equation? [KVS PGT 23-12-2018]

Correct Answer: (d) 50
Solution:

4. There are 15 points in a plane such that no three of them are collinear. The number of triangles formed by joining them is [UP PGT-2016 (02-02-2019)]

Correct Answer: (a) 455
Solution:

5. There are three rooms I, II and III in a game. Room I has 2 boxes containing gift items and 3 empty boxes. Room II contains 3 boxes containing gift items and 2 empty boxes. Room III containers 4 boxes containing gift items and 1 empty box. Each room choosen by a player has the same probability. Mr. John Selects a box from a room choosen at random. What is the probability that Mr. John wins a box of goodies? [DSSSB 23 SEP 2018 (9 AM-11 AM)]

Correct Answer: (d) 3/5
Solution:

6. Solve the following equation? [DSSSB 23 SEP 2018 (9 AM-11 AM)]

Correct Answer: (d)
Solution:

7. How many cards must be picked from a standard pack of 52 cards to surely get 2 cards of the same suit? (Club, Diamond, Heart and Spade are the Suits) [DSSSB 23 SEP 2018 (9 AM-11 AM)]

Correct Answer: (c) 5
Solution:

8. Solve the following equation? [LT 2018]

Correct Answer: (b) 11/8
Solution:

9. А coin is thrown 6 times. The probability of getting exactly four heads is [LT 2018]

Correct Answer: (d) 15/64
Solution:

10. A bag contains 8 red and 5 white balls. Three balls are drawn at random. The probability that one ball is red and two balls are white, is [LT 2018]

Correct Answer: (a) 40/143
Solution: