## Wednesday, 26 August 2015

### AMCAT Quants All Questions List

Ques. At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is
Op 1: 25
Op 2: 30
Op 3: 32
Op 4: none of these
Op 5:
Correct Op : 4
Ques. There are n different books and p copies of each. the number of ways in which a selection can be made from them is
Op 1: np
Op 2: pn
Op 3: (p+1)n -1
Op 4: (n+1)p-1
Op 5:
Correct Op : 3
Ques. The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is
Op 1: 220
Op 2: 204
Op 3: 205
Op 4: 195
Op 5:
Correct Op : 3
Ques. A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is
Op 1: 56
Op 2: 126
Op 3: 91
Op 4: none of these
Op 5:
Correct Op : 3
Ques. Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is
Op 1: 15
Op 2: 81
Op 3: 255
Op 4: 256
Op 5:
Correct Op : 3
Ques. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
Op 1: 1260
Op 2: 210
Op 3: 10C6 * 6!
Op 4: 10C5 * 6
Op 5:
Correct Op : 1
Ques. There are 10 yes or no questions. How many ways can these be answered? Op 1: 1084
Op 2: 2048
Op 3: 1024
Op 4: 100
Op 5:
Correct Op : 3
Ques. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
Op 1: 24
Op 2: 31
Op 3: 32
Op 4: 30
Op 5:
Correct Op : 3
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 5-digit 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

<< Previous|| Set 1 || Set 2 || Set 3 || Set 4 || Set 5 || Set 6 || Set 7 || Next >>

Related Pages:
AMCAT Question Bank all 2016 Computer Programming Questions.
AMCAT Question Bank all 2016 Verbal English Questions
AMCAT Question Bank all 2016 Quantitative Ability Questions
AMCAT Question Bank all 2016 Logical Reasoning Questions