Q1:
2026: 6 June Shift 1
Quantitative Reasoning
Probability
Medium
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?
2026: 6 June Shift 1
Quantitative Reasoning
Probability
Medium
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?
2026: 31 May Shift 2
Quantitative Reasoning
Probability
Easy
Three unbiased coins are tossed. What is the probability of getting at most two heads?
2026: 31 May Shift 1
Quantitative Reasoning
Probability
Easy
A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both balls are white.
2026: 30 May Shift 2
Quantitative Reasoning
Probability
Easy
An unbiased die is rolled. Find the probability of getting a multiple of 2.
2026: 30 May Shift 1
Quantitative Reasoning
Probability
Easy
In a deck of lotteries, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting prize?
2026: 29 May Shift 2
Quantitative Reasoning
Probability
Easy
In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?
2026: 29 May Shift 1
Quantitative Reasoning
Probability
Easy
Consider the experiment of rolling a die. Let A be the event 'getting a prime number', B be the event 'getting an odd number'. However C be the event containing only highest number of die. If P is the probability of the events.
(A) Here,
(B) &
(C)
(D)
Arrange the above events in chronological order and choose the correct answer from the options given below:
2026: 26 May Shift 1
Quantitative Reasoning
Probability
Easy
The probability of getting a composite number when a six faced unbiased die is thrown?
2026: 25 May Shift 2
Quantitative Reasoning
Probability
Easy
Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
2026: 25 May Shift 1
Quantitative Reasoning
Probability
Easy
A bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both are white ?
2026: 24 May Shift 1
Quantitative Reasoning
Probability
Easy
If a dice is thrown, what is the probability of getting 6 ?
2026: 22 May Shift 2
Quantitative Reasoning
Probability
Easy
The probability that a card drawn from a pack of 52 cards will be a king or a diamond, is?
2026: 21 May Shift 2
Quantitative Reasoning
Probability
Easy
Two dices are thrown together. The probability of the sum of the numbers being 8 is:
2026: 21 May Shift 1
Quantitative Reasoning
Probability
Easy
What is the probability of getting a sum 6 from two throws of a dice ?
2026: 20 May Shift 2
Quantitative Reasoning
Probability
Medium
The probability of drawing two aces randomly from a pack of 52 cards is:
2026: 20 May Shift 1
Quantitative Reasoning
Probability
Easy
The probability that a card drawn from a pack of 52 cards will be a spade or a queen, is
2026: 19 May Shift 2
Quantitative Reasoning
Probability
Easy
A bag contains 7 red balls, 11 yellow balls, and 4 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow?
2026: 19 May Shift 1
Quantitative Reasoning
Probability
Easy
A box contains 3 blue, 2 white, and 5 red balls. If a ball is drawn at random from the box, what is the probability that it will be red?
2026: 18 May Shift 2
Quantitative Reasoning
Probability
Easy
An unbiased die is tossed. Find the probability of getting a multiple of 3.
2026: 18 May Shift 1
Quantitative Reasoning
Probability
Easy
Two unbiased coins are tossed:
Match the List-I and List-II
| List-I | List-II |
|---|---|
| (A) Probability of getting one head | (I) 3/4 |
| (B) Probability of getting two heads | (II) 1/2 |
| (C) Probability of getting at most one head | (III) 1/4 |
| (D) Probability of getting three heads | (IV) 0 |
Choose the correct answer from the options given below:
2026: 14 May Shift 2
Quantitative Reasoning
Probability
Easy
The probability of getting an odd number when you roll a die, is:
2026: 14 May Shift 1
Quantitative Reasoning
Probability
Easy
If A and B are two disjoint events then
A. A ∩ B = Φ
B. P ( A ∩ B ) = 0
C. P ( A ∪ B ) = P (A) + P (B)
D. P ( A ∩ B ) = 1
Choose the correct answer from the options given below:
2026: 12 May Shift 2
Quantitative Reasoning
Probability
Easy
In a pack of lotteries, there are 5 prizes and 20 blanks. A lottery is drawn at random. The probability of getting prize is:
2026: 12 May Shift 1
Quantitative Reasoning
Probability
Medium
If A and B are mutually exclusive events, then following probability of the events are given below:
(A) P(A) =0.4, P(B) =0.4 and P(AUB)=0.8
(B) P(A) =0.3, P(B) =0.6 and P(AUB)=0.9
(C) P(A) =0.3, P(B) =0.3 and P(AUB)=0.6
(D) P(A) =0.1, P(B) =0.1 and P(AUB)=0.2
which of the following options is correct?
2025: 3 June Shift 2
Quantitative Reasoning
Probability
Medium
A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked up at random, what is the probability that at least one is blue?
2025: 3 June Shift 1
Quantitative Reasoning
Probability
Easy
Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
2025: 30 May Shift 2
Quantitative Reasoning
Probability
Easy
An integer number is chosen at random from the first 100 integers. What is the probability that the chosen number is a perfect cube?
2025: 29 May Shift 2
Quantitative Reasoning
Probability
Easy
A and B are participating in the same contest, the probability of their winning are and respectively. What is the probability that neither of them will win the contest?
2025: 29 May Shift 1
Quantitative Reasoning
Probability
Easy
In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 1.5 minutes after he starts playing. What is the probability that the music will stop within the first 15 seconds after starting?
2025: 28 May Shift 2
Quantitative Reasoning
Probability
Medium
Arnav rolls two dice simultaneously. What is the probability of Arnav getting two numbers whose sum is a prime number?