MP Police Constable 2020 Question Paper (15-Feb-2022) Shift 2

Question 1

Three friends plan to meet at a place at 5:00 p.m. What is the probability that at least two of them reached late, it is given that at least one of them reached late?

Accepted Answer

$\frac{4}{7}$

Answer

$\frac{3}{8}$

Answer

$\frac{1}{2}$

Answer

$\frac{3}{7}$

Question 2

On the day of exam result, three friends got $1^{st}$, $2^{nd}$, and $3^{rd}$ rank. What is the probability that a girl got $3^{rd}$ rank given that $2^{nd}$ ranker is a boy?

Accepted Answer

0.5

Answer

0.6

Answer

0.35

Answer

0.15

Question 3

A wardrobe contains 2 white shirts, 3 black shirts and 4 red shirts. In how many ways can 3 shirts be selected from the wardrobe, if at least one black shirt is to be included in?

Accepted Answer

64

Answer

84

Answer

60

Answer

72

Question 4

There are four vacant rooms in a hotel, one for 1 person, one for 2 persons, one for 3 persons and one for 4 persons. In how many ways 10 persons can accommodate in these rooms?

Accepted Answer

12600

Answer

12800

Answer

9420

Answer

8640

Question 5

There are six pairs of black shoes and four pairs of white shoes. They are all put into a box and 1 shoe is drawn at a time. To ensure that at least one pair of black shoes are taken out. How many number of shoes required to be drawn out (All the shoes are of the same size)?

Accepted Answer

15

Answer

10

Answer

9

Answer

12

MP Police Constable 2020 Question Paper (15-Feb-2022) Shift 2

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