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Basic Mathematics

6  8 Questions
 
Applied Mathematics

8  10 Questions
 
Engineering Mathematics

8  10 Questions

Ques. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The
probability that all of them are red, is:
Op 1: 1/22
Op 2: 3/22
Op 3: 2/91
Op 4: 2/77
Op 5:
Correct Op : 3
Ques. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random
from this box. The probability that at least one of these is defective, is:
Op 1: 4/19
Op 2: 7/19
Op 3: 12/19
Op 4: 21/95
Op 5:
Correct Op : 2
Ques. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a
student is selected at random, what is the probability that he has offered English or Hindi ?
Op 1: 2/5
Op 2: 3/4
Op 3: 3/5
Op 4: 3/10
Op 5:
Correct Op : 1
Ques. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The
probability that the red ball being selected is the smallest red ball, is
Op 1: 1/18
Op 2: 1/3
Op 3: 1/6
Op 4: 2/3
Op 5:
Correct Op : 3
Ques. If A and B are 2 independent events and P(A)=0.5 and P(B) = 0.4, find P(A/B):
Op 1: 0.5
Op 2: 0.4
Op 3: 0.88
Op 4: None of these
Op 5:
Correct Op : 1
Ques. A 5digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability
that the number formed is a multiple of 4?
Op 1: 1/4
Op 2: 1/5
Op 3: 2/5
Op 4: 1/120
Op 5: 4
Correct Op : 2
Ques. In a single throw of dice, what is the probability to get a number greater or equal to 4?
Op 1: 1/3
Op 2: 2/3
Op 3: 1/2
Op 4: None of these
Op 5:
Correct Op : 3
Ques. A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He
draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
Op 1: 3.5/12
Op 2: 7/12
Op 3: 5/12
Op 4: None of these
Op 5:
Correct Op : 2
Ques. There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two
blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red?
Op 1: 4/7
Op 2: 8/49
Op 3: 7/8
Op 4: 15/49
Op 5:
Correct Op : 4
Ques. Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the
probability that he got at least one Nestle chocolate?
Op 1: 2/3
Op 2: 3/7
Op 3: 2/21
Op 4: None of these
Op 5:
Correct Op : 4
Ques. The probability of having at least one tail in 5 throws of a coin is
Op 1: 1/32
Op 2: 31/32
Op 3: 1/5
Op 4: None of these
Op 5:
Correct Op : 2
Ques. A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that
the pencils are of the same colour?
Op 1: 5/108
Op 2: 1/6
Op 3: 5/18
Op 4: 4/9
Op 5:
Correct Op : 4
Ques. A single letter is drawn at random from the word, "ASPIRATION", the probability that it is a vowel
is?
Op 1: 1/2
Op 2: 1/3
Op 3: 3/5
Op 4: 2/5
Op 5:
Correct Op : 1
Ques. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit
the target at least three times is:
Op 1: 291/364
Op 2: 371/464
Op 3: 471/502
Op 4: 459/512
Op 5:
Correct Op : 4
Ques. An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in
any of the 3 rolls is:
Op 1: 8/27
Op 2: 1/27
Op 3: 26/27
Op 4: 2/3
Op 5:
Correct Op : 1
Ques. Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence
of both A and B is 0.1. What is the probability that none of A and B occur?
Op 1: 0.3
Op 2: 0.4
Op 3: 0.7
Op 4: None of these
Op 5:
Correct Op : 2
Ques. An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail
appearing on the fifth toss is:
Op 1: 1/2
Op 2: 1
Op 3: 0
Op 4: 4/5
Op 5:
Correct Op : 1
Ques. X and Y are two independent events. The probability that X and Y occur is 1/12, and the
probability that neither occur is 1/2, the probability of occurrence of X can be:
Op 1: 1/3
Op 2: 1/5
Op 3: 1/2
Op 4: 1/10
Op 5:
Correct Op : 1
Ques. An unbiased coin is tossed n times. If the probability of getting 4 tails equals the probability of
getting 7 tails, then the probability of getting two tails is:
Op 1: 55/2048
Op 2: 3/4096
Op 3: 1/1024
Op 4: None of these
Op 5:
Correct Op : 1
Ques. Sudhanshu and Pankaj stand in a circle with 10 other persons. If the arrangement of the person is
at random, then the probability that there are exactly 3 persons between Sudhanshu and Pankaj is?
Op 1: 9/11
Op 2: 2/11
Op 3: 1/11
Op 4: None of these
Op 5:
Correct Op : 2
Ques. Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive
is:
Op 1: 1/145
Op 2: 144/145
Op 3: 139/140
Op 4: 1/140
Op 5:
Correct Op : 2
Ques. A bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from the bag. What is the
probability that he will draw a banana?
Op 1: 1
Op 2: 0
Op 3: 1/2
Op 4: None of these
Op 5:
Correct Op : 1
Ques. An unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5 respectively. If it is rolled
again, what is the probability that the outcome is 6?
Op 1: 1
Op 2: 5/6
Op 3: 1/6
Op 4: None of these
Op 5:
Correct Op : 3
Ques. The probability of drawing an apple from a bag of fruits is 6/25. How many apples should Ravi
draw, so that there is a chance he will draw 12 apples on average?
Op 1: 25
Op 2: 50
Op 3: 12
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is the probability for a day to be Sunday?
Op 1: 1/7
Op 2: 1/5
Op 3: 52/365
Op 4: None of these
Op 5:
Correct Op : 1
Ques. Rani has a bag with three blue and three yellow coins. She takes out a coin, sees its colour and
puts it back in the bag. She does this thrice. What is the probability that she saw all blue coins.
Op 1: 1/8
Op 2: 1/2
Op 3: 1/3
Op 4: None of these
Op 5:
Correct Op : 1
Ques. Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he
draws out a ball and it turns out to be black. After this event, what is the probability that both balls are
black?
Op 1: 1/2
Op 2: 1/4
Op 3: 1
Op 4: None of these
Op 5:
Correct Op : 1
Ques. A coin is tossed thrice. What is the probability that the first toss of coin lands head, second tail
and third lands tail as well?
Op 1: 1/16
Op 2: 3/8
Op 3: 1/8
Op 4: None of these
Op 5:
Correct Op : 3
Ques. The probability of occurrence of event A is 0.3 and that of event B is 0.4. The events are
independent. What is the probability of occurrence of both A and B?
Op 1: 0.7
Op 2: 0.1
Op 3: 0.12
Op 4: Cannot be determined
Op 5:
Correct Op : 3
Ques. The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually
exclusive. What is the probability of occurrence of both A and B?
Op 1: 0.1
Op 2: 0
Op 3: 1
Op 4: Cannot be determined
Op 5:
Correct Op : 2
Ques. The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually
exclusive. What is the probability of occurrence of either X or Y?
Op 1: 0.85
Op 2: 0.75
Op 3: 0
Op 4: Cannot be determined
Op 5:
Correct Op : 1
Ques. A biased die has a probability of 1/4 of showing a 5, while the probability of any of 1, 2, 3, 4, or 6
turning up is the same . If three such dice are rolled, what is the probability of getting a sum of atleast 14
without getting a 6 on any die ?
Op 1: 5/24
Op 2: 9/160
Op 3: 1/30
Op 4: 7/160
Op 5:
Correct Op : 4
Ques. A, B, C, D and E play the following game. Each person picks one card from cards numbered 1
through 10. The person who picks the greatest numbered card loses and is out of the game. Now the
remaining four return their cards to the pack and draw again, and
Op 1: 3/14
Op 2: 4/17
Op 3: 1/5
Op 4: 5/24
Op 5:
Correct Op : 3
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