AMCAT Questions Quants Past year Papers 4

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Ques. A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?
Op 1: 8.45 a.m.
Op 2: 8.56 a.m.
Op 3: 9.20 a.m.
Op 4: 9.56 a.m.
Op 5:
Correct Op : 2
Ques. How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?
Op 1: 24 L
Op 2: 22.5 L
Op 3: 6 L
Op 4: 17.5 L
Op 5:
Correct Op : 3
Ques. If x is a positive number and y = x2, then which of the following is true?
Op 1: y is always more than x
Op 2: x is always more than y
Op 3: x is always equal to y
Op 4: None of these
Op 5:
Correct Op : 4
Ques. Rajiv has a number x in his mind. He finds out that the square of x is less than x. What is the range of x?
Op 1: x is more than 0
Op 2: x is less than 1
Op 3: x is more than 0, but less than 1
Op 4: This is not possible
Op 5:
Correct Op : 3
Ques. What is the value of: x1.5 * x2 ?
Op 1: x3
Op 2: x3.5
Op 3: x0.75
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is the value of: (33*812*20)/95 ?
Op 1: 0
Op 2: 3
Op 3: 1/3
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What number should be divided by (0.81)1/2 to give the result as 81? Op 1: 9
Op 2: 81
Op 3: 72.9
Op 4: 0.9
Op 5:
Correct Op : 3
Ques. If 6(x-3) = 36(x-5), then what is the value of x?
Op 1: 2
Op 2: No value will agree
Op 3: -1
Op 4: 7
Op 5:
Correct Op : 4
Ques. Which is the largest among 21/2, 51/3 and 41/4 ?
Op 1: (2)1/2
Op 2: 51/3
Op 3: 41/4
Op 4: None of these
Op 5:
Correct Op : 2
Ques. What is the value of 10009/1004?
Op 1: 1005
Op 2: 105
Op 3: 1019
Op 4: None of these
Op 5:
Correct Op : 3
Ques. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?
Op 1: 120
Op 2: 720
Op 3: 4320
Op 4: 2160
Op 5: None of these
Correct Op : 2
Ques. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
Op 1: 810
Op 2: 1440
Op 3: 2880
Op 4: 50400
Op 5: 5760
Correct Op : 4
Ques. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?
Op 1: 5
Op 2: 10
Op 3: 15
Op 4: 20
Op 5:
Correct Op : 4
Ques. A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this be done?
Op 1: 3,724
Op 2: 3,630
Op 3: 4,914
Op 4: 5,670
Op 5:
Correct Op : 3
Ques. From a pack of 52 playing cards, 4 cards are removed at random. In how many ways can the 1st place and 3rd place cards be drawn out such that both are black ?
Op 1: 64,974
Op 2: 62,252
Op 3: 69,447
Op 4: 1,592,500
Op 5:
Correct Op : 4
Ques. In how many ways can the digits 2,3,5,7 and 9 be placed to form a three-digitnumber so that the higher order digit is always greater than the lower order digits? (Assume digits are all different).
Op 1: 8
Op 2: 9
Op 3: 10
Op 4: 15
Op 5:
Correct Op : 3
Ques. In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?
Op 1: 72
Op 2: 108
Op 3: 36
Op 4: 84
Op 5:
Correct Op : 1
Ques. In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
Op 1: 2,500
Op 2: 2,250
Op 3: 2,750
Op 4: 3,250
Op 5:
Correct Op : 2
Ques. A boy has 4 different boxes and 5 different marbles. In how many ways can he place the marbles in the boxes such that each box has at least one marble ?
Op 1: 560
Op 2: 240
Op 3: 420
Op 4: 36
Op 5:
Correct Op : 2
Ques. A teacher was trying to form the groups of students in such a way that every group has equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind. If t
Op 1: 0
Op 2: 2
Op 3: 3
Op 4: 4
Op 5:
Correct Op : 4
Ques. Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time ?
Op 1: 7!x8!
Op 2: 7x8!
Op 3: 7!x8
Op 4: 56
Op 5:
Correct Op : 4
Ques. In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
Op 1: 212
Op 2: 266
Op 3: 272
Op 4: 312
Op 5:
Correct Op : 2
Ques. A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ?
Op 1: 18
Op 2: 33
Op 3: 56
Op 4: 90
Op 5:
Correct Op : 4
Ques. A company could advertise about its new product in 4 magazines, 3 newspapers and 2 television channels. But in a later move it decided to give advertisements in only 2 of the magazines, one of the newspapers and one the TV channels. In how many ways can
Op 1: 30
Op 2: 36
Op 3: 44
Op 4: None of these
Op 5:
Correct Op : 2
Ques. In how many ways can the letters of the word 'ERGONOMICS' be rearranged such that the vowels always appear together?
Op 1: 6! /2!
Op 2: 6!*4!
Op 3: 7! /2!
Op 4: (7! * 4!)/2!
Op 5:
Correct Op : 4
Ques. How many different four letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F?
Op 1: 8
Op 2: 3
Op 3: 6
Op 4: 7!/5!
Op 5:
Correct Op : 1
Ques. The value of 74P2 is
Op 1: 2775
Op 2: 150
Op 3: 5402
Op 4: none of these
Op 5:
Correct Op : 3
Ques. In how many different ways can the letters of the word ' HARDWARE' be arranged in such a way that the vowels always come together.
Op 1: 120
Op 2: 1080
Op 3: 1440
Op 4: 4320
Op 5: 720
Correct Op : 2
Ques. In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?
Op 1: 266
Op 2: 50
Op 3: 15
Op 4: 8640
Op 5: none of these
Correct Op : 3
Ques. Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?
Op 1: 210
Op 2: 1050
Op 3: 25200
Op 4: 21400
Op 5: none of these
Correct Op : 3
Ques. 3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are .
Op 1: 1440
Op 2: 1956
Op 3: 720
Op 4: none of these
Op 5:
Correct Op : 1
Ques. The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is
Op 1: 28-1
Op 2: 38-1
Op 3: 48-1
Op 4: none of these
Op 5:
Correct Op : 2
Ques. A five -digit number divisible by 3 is to be formed using numerals 0,1,2,3,4 and 5 without repetition. The total number of ways this can be done is
Op 1: 216
Op 2: 240
Op 3: 600
Op 4: 3125
Op 5:
Correct Op : 1
Ques. Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS
Op 1: 10!
Op 2: 1010
Op 3: 210
Op 4: 210-1
Op 5:
Correct Op : 2
Ques. A polygon has 44 diagonals, the number of its sides is
Op 1: 10
Op 2: 11
Op 3: 12
Op 4: 22
Op 5:
Correct Op : 2
Ques. The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is
Op 1: 105
Op 2: 115
Op 3: 175
Op 4: 185
Op 5:
Correct Op : 4
Ques. There are 5 letters and five addressed envelops. the number of ways in which all the letters can be put in wrong envelops is
Op 1: 119
Op 2: 44
Op 3: 59
Op 4: 40
Op 5:
Correct Op : 2
Ques. The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is
Op 1: 960
Op 2: 2880
Op 3: 288
Op 4: 576
Op 5:
Correct Op : 2



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