# AMCAT Quantitative Aptitude Previous Questions 21 -40

Ques. In how many ways can a number 6084 be written as a product of two different factors ?

Op 1: 27

Op 2: 26

Op 3: 13

Op 4: 14

Op 5:

Correct Op : 3

Ques. What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and

when divided by 5 leaves a remainder of 3?

Op 1: 1043

Op 2: 1073

Op 3: 1103

Op 4: None of these

Op 5:

Correct Op : 4

Ques. P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide

(P+4) (P+15) is:

Op 1: 11

Op 2: 121

Op 3: 242

Op 4: None of these

Op 5:

Correct Op : 3

Ques. Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such

that C + n2 is divisible by 5 is:

Op 1: 4

Op 2: 5

Op 3: 3

Op 4: Does not exist

Op 5:

Correct Op : 4

Ques. Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively.

The number of times they will toll together in the next 2 hr is:

Op 1: 14 times

Op 2: 15 times

Op 3: 13 times

Op 4: 11 times

Op 5:

Correct Op : 1

Ques. The product of two numbers is 16200. If their LCM is 216, find their HCF.

Op 1: 75

Op 2: 70

Op 3: 80

Op 4: Data inconsistent

Op 5:

Correct Op : 1

Ques. There are four prime numbers written in ascending order of magnitude. The product of first three

is 385 and that of last three is 1001. Find the first number.

Op 1: 5

Op 2: 7

Op 3: 11

Op 4: 17

Op 5:

Correct Op : 1

Ques. M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is

also a natural number, which of the following relations is not possible?

Op 1: K*L=A

Op 2: K*A=L

Op 3: L*A=K

Op 4: None of these

Op 5:

Correct Op : 3

Ques. On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Op 1: 364724

Op 2: 365387

Op 3: 365737

Op 4: 366757

Op 5:

Correct Op : 3

Ques. The difference between two numbers is 1365.When the larger number is divided by the smaller

one ,the quotient is 6 and the remainder is 15.The smaller number is:

Op 1: 240

Op 2: 270

Op 3: 295

Op 4: 360

Op 5:

Correct Op : 2

Ques. The ratio of two numbers is 3:4 and their HCF is 4.Their LCM is:

Op 1: 12

Op 2: 16

Op 3: 24

Op 4: 48

Op 5:

Correct Op : 4

Ques. A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with square

tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose?

Op 1: 14 cm

Op 2: 21 cm

Op 3: 42 cm

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The least perfect square which is divisible by 3, 4, 5, 6, 8 is:

Op 1: 900

Op 2: 1200

Op 3: 2500

Op 4: 3600

Op 5:

Correct Op : 4

Ques. What will be obtained if 8 is subtracted from the HCF of 168, 189, and 231?

Op 1: 15

Op 2: 10

Op 3: 21

Op 4: None of these

Op 5:

Correct Op : 4

Ques. The largest four digit number which is a multiple of 8, 10,12 and 15 is:

Op 1: 120

Op 2: 9600

Op 3: 9840

Op 4: 9960

Op 5:

Correct Op : 4

Ques. If logx (0.1) = -1/3, then the value of x is:

Op 1: 10

Op 2: 100

Op 3: 1000

Op 4: 1/1000

Op 5:

Correct Op : 3

Ques. If ax = by, then:

Op 1: log(a/b) = x/y

Op 2: log(a) / log(b) = x/y

Op 3: log(a) / log(b) = y/x

Op 4: None of these

Op 5:

Correct Op : 3

Ques. If log8 x + log8 (1/6) = 1/3 then the value of x is:

Op 1: 12

Op 2: 16

Op 3: 18

Op 4: 24

Op 5:

Correct Op : 1

Ques. If log x + log y = log (x + y), then:

Op 1: x = y

Op 2: xy=1

Op 3: y = (x-1)/x

Op 4: y = x/(x-1)

Op 5:

Correct Op : 4

Ques. If log10 7 = a, then log10(1/70) is equal to:

Op 1: -(1 + a)

Op 2: (1 + a)-1

Op 3: a/10

Op 4: 1/10a

Op 5:

Correct Op : 1