PnC Probability in NMAT 2023

Q1. A man have two dice, if he rolled both dice, then find the probability that sum of digits will be 5 or 7 ?
(a) 1/18
(b) 1/12
(c) 5/9
(d) 5/18
(e) 7/18

Q2. A bag contains 3 red, 5 blue and 4 green ball. 1 ball is drawn at random. What is the probability of ball being either red or blue colour.
(a) 3/7
(b) 2/3
(c) 5/12
(d) 1/3
(e) 1/4

Q3. A box contains 12 red, 6 green and ‘x’ yellow balls. Probability of choosing one green ball out of the box is 2/9, then find the probability of choosing one ball which can be either red or yellow?
(a) 4/9
(b) 5/9
(c) 2/3
(d) 7/9
(e) 8/9

Q4. In how many different ways the letters of the word ‘ADVENTURE’ can be arranged such that ‘NT’ always come together?
(a) 8!
(b) 7!
(c) 9!
(d) 9! /2!
(e) 8! /2!

Q5. If two dices are rolled together, then find the probability of getting a number of one dice greater than the number on other dice?
(a) 3/4
(b) 2/3
(c) 1/6
(d) 5/6
(e) 1/2

Q6. A bag has seven red, four white and three green balls while another bag has five red, six yellow and three blue balls. A bag is selected at random and a ball drawn out of it, then Find the probability that the ball drawn is red.
(a) 1/7
(b) 3/7
(c) 2/7
(d) 1
(e) 6/7

Q7. Find the number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together.
(a) 950
(b) 800
(c) 900
(d) 750
(e) 920

Q8. A rectangular field cost Rs. 110 for leveling at 50 paise per square meter. If the ratio of length to breadth is 11: 5. Find the breadth of field ?
(a) 12 m
(b) 10 m
(c) 5 m
(d) 16 m
(e) 15 m

Q9. A bag contains 6 red balls, 4 green balls and 8 white balls. If three balls are drawn at random, find the probability that one is red ball and two are green balls?
(a) 3/69
(b) 3/68
(c) 3/65
(d) 4/67
(e) 3/71

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