### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions - 5

Ques 121 : Choose the correct answer.

What is the value of: x1.5 * x2 ?

Option 1 : x3

Ques 122 : Choose the correct answer.

What is the value of: (33*812*20)/95 ?

Option 1 : 0

Ques 123 : Choose the correct answer.

What number should be divided by (0.81)1/2 to give the result as 81?

Option 1 : 9 Option 2 : 81

Ques 124 : Choose the correct answer.

If 6(x-3) = 36(x-5), then what is the value of x?

Option 1 : 2 Option 2 : No value will agree Option 3 : -1

Ques 125 : Choose the correct answer.

Which is the largest among 21/2, 51/3 and 41/4 ?

Option 1 : (2)1/2

Ques 126 : Choose the correct answer.

What is the value of 10009/1004?

Option 1 : 1005 Option 2 : 105

Ques 127 : Choose the correct answer.

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?

Option 1 : 120

Ques 128 : Choose the correct answer.

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?

Option 1 : 810 Option 2 : 1440 Option 3 : 2880

Ques 129 : Choose the correct answer.

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 ?

Option 1 : 5 Option 2 : 10 Option 3 : 15

Ques 130 : Choose the correct answer.

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?

Option 1 : 3,724 Option 2 : 3,630

What is the value of: x1.5 * x2 ?

Option 1 : x3

**Option 2 : x3.5**Option 3 : x0.75 Option 4 : None of theseQues 122 : Choose the correct answer.

What is the value of: (33*812*20)/95 ?

Option 1 : 0

**Option 2 : 3**Option 3 : 1/3 Option 4 : None of theseQues 123 : Choose the correct answer.

What number should be divided by (0.81)1/2 to give the result as 81?

Option 1 : 9 Option 2 : 81

**Option 3 : 72.9**Option 4 : 0.9Ques 124 : Choose the correct answer.

If 6(x-3) = 36(x-5), then what is the value of x?

Option 1 : 2 Option 2 : No value will agree Option 3 : -1

**Option 4 : 7**Ques 125 : Choose the correct answer.

Which is the largest among 21/2, 51/3 and 41/4 ?

Option 1 : (2)1/2

**Option 2 : 51/3**Option 3 : 41/4 Option 4 : None of theseQues 126 : Choose the correct answer.

What is the value of 10009/1004?

Option 1 : 1005 Option 2 : 105

**Option 3 : 1019**Option 4 : None of theseQues 127 : Choose the correct answer.

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?

Option 1 : 120

**Option 2 : 720**Option 3 : 4320 Option 4 : 2160 Option 5 : None of theseQues 128 : Choose the correct answer.

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?

Option 1 : 810 Option 2 : 1440 Option 3 : 2880

**Option 4 : 50400**Option 5 : 5760Ques 129 : Choose the correct answer.

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 ?

Option 1 : 5 Option 2 : 10 Option 3 : 15

**Option 4 : 20**Ques 130 : Choose the correct answer.

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?

Option 1 : 3,724 Option 2 : 3,630

**Option 3 : 4,914**Option 4 : 5,670
Ques 131 : Choose the correct answer.

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 ?

Option 1 : 64,974 Option 2 : 62,252 Option 3 : 69,447

Ques 132 : Choose the correct answer.

In how many ways can the digits 2,3,5,7 and 9 be placed to form a three-digit number so that the higher order digit is always greater than the lower order digits? (Assume digits are all different).

Option 1 : 8 Option 2 : 9

Ques 133 : Choose the correct answer.

In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?

Ques 134 : Choose the correct answer.

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

Option 1 : 2,500

Ques 135 : Choose the correct answer.

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 ?

Option 1 : 560

Ques 136 : Choose the correct answer.

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

Option 1 : 0 Option 2 : 2 Option 3 : 3

Ques 137 : Choose the correct answer.

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 ?

Option 1 : 7!x8! Option 2 : 7x8! Option 3 : 7!x8

Ques 138 : Choose the correct answer.

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 ?

Option 1 : 212

Ques 139 : Choose the correct answer.

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 ?

Option 1 : 18 Option 2 : 33 Option 3 : 56

Ques 140 : Choose the correct answer.

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

Option 1 : 30

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 ?

Option 1 : 64,974 Option 2 : 62,252 Option 3 : 69,447

**Option 4 : 1,592,500**Ques 132 : Choose the correct answer.

In how many ways can the digits 2,3,5,7 and 9 be placed to form a three-digit number so that the higher order digit is always greater than the lower order digits? (Assume digits are all different).

Option 1 : 8 Option 2 : 9

**Option 3 : 10**Option 4 : 15Ques 133 : Choose the correct answer.

In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?

**Option 1 : 72**Option 2 : 108 Option 3 : 36 Option 4 : 84Ques 134 : Choose the correct answer.

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

Option 1 : 2,500

**Option 2 : 2,250**Option 3 : 2,750 Option 4 : 3,250Ques 135 : Choose the correct answer.

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 ?

Option 1 : 560

**Option 2 : 240**Option 3 : 420 Option 4 : 36Ques 136 : Choose the correct answer.

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

Option 1 : 0 Option 2 : 2 Option 3 : 3

**Option 4 : 4**Ques 137 : Choose the correct answer.

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 ?

Option 1 : 7!x8! Option 2 : 7x8! Option 3 : 7!x8

**Option 4 : 56**Ques 138 : Choose the correct answer.

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 ?

Option 1 : 212

**Option 2 : 266**Option 3 : 272 Option 4 : 312Ques 139 : Choose the correct answer.

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 ?

Option 1 : 18 Option 2 : 33 Option 3 : 56

**Option 4 : 90**Ques 140 : Choose the correct answer.

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

Option 1 : 30

**Option 2 : 36**Option 3 : 44 Option 4 : None of these
Ques 141 : Choose the correct answer.

In how many ways can the letters of the word 'ERGONOMICS' be rearranged such that the vowels always appear together?

Option 1 : 6! /2! Option 2 : 6!*4! Option 3 : 7! /2!

Ques 142 : Choose the correct answer.

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?

Ques 143 : Choose the correct answer.

The value of 74P2 is

Option 1 : 2775 Option 2 : 150

Ques 144 : Choose the correct answer.

In how many different ways can the letters of the word ' HARDWARE' be arranged in such a way that the vowels always come together.

Option 1 : 120

Ques 145 : Choose the correct answer.

In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?

Option 1 : 266 Option 2 : 50

Ques 146 : Choose the correct answer.

Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?

Option 1 : 210 Option 2 : 1050

Ques 147 : Choose the correct answer.

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 .

Ques 148 : Choose the correct answer.

The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is

Option 1 : 28-1

Ques 149 : Choose the correct answer.

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

Ques 150 : Choose the correct answer.

Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS

Option 1 : 10!

In how many ways can the letters of the word 'ERGONOMICS' be rearranged such that the vowels always appear together?

Option 1 : 6! /2! Option 2 : 6!*4! Option 3 : 7! /2!

**Option 4 : (7! * 4!)/2!**Ques 142 : Choose the correct answer.

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?

**Option 1 : 8**Option 2 : 3 Option 3 : 6 Option 4 : 7!/5!Ques 143 : Choose the correct answer.

The value of 74P2 is

Option 1 : 2775 Option 2 : 150

**Option 3 : 5402**Option 4 : none of theseQues 144 : Choose the correct answer.

In how many different ways can the letters of the word ' HARDWARE' be arranged in such a way that the vowels always come together.

Option 1 : 120

**Option 2 : 1080**Option 3 : 1440 Option 4 : 4320 Option 5 : 720Ques 145 : Choose the correct answer.

In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?

Option 1 : 266 Option 2 : 50

**Option 3 : 15**Option 4 : 8640 Option 5 : none of theseQues 146 : Choose the correct answer.

Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?

Option 1 : 210 Option 2 : 1050

**Option 3 : 25200**Option 4 : 21400 Option 5 : none of theseQues 147 : Choose the correct answer.

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 .

**Option 1 : 1440**Option 2 : 1956 Option 3 : 720 Option 4 : none of theseQues 148 : Choose the correct answer.

The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is

Option 1 : 28-1

**Option 2 : 38-1**Option 3 : 48-1 Option 4 : none of theseQues 149 : Choose the correct answer.

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

**Option 1 : 216**Option 2 : 240 Option 3 : 600 Option 4 : 3125Ques 150 : Choose the correct answer.

Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS

Option 1 : 10!

**Option 2 : 1010**Option 3 : 210 Option 4 : 210-1
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