Competitive Exams : Quantitative Aptitude - HCF/LCM (Set 10) | Concept of Maths

Question 1

Find the greatest number that will divide 148, 246, and 623 leaving remainders of 4, 6, and 11 respectively.

Accepted Answer

B) 12

Answer

A) 18

Answer

C) 24

Answer

D) 6

Question 2

Three runners are running on a circular track of length 12 km. Their speeds are 3 km/hr, 7 km/hr, and 13 km/hr respectively. If they start together from the same point, after how many hours will they meet again at the starting point?

Accepted Answer

C) 12 hours

Answer

A) 84 hours

Answer

B) 36 hours

Answer

D) 156 hours

Question 3

The sum of two positive numbers is 528 and their HCF is 33. How many distinct pairs of such numbers can satisfy these given conditions?

Accepted Answer

A) 4

Answer

B) 3

Answer

C) 5

Answer

D) 2

Question 4

The HCF and LCM of two 3-digit numbers are 16 and 2640 respectively. What is the sum of these two numbers?

Accepted Answer

D) 416

Answer

A) 384

Answer

B) 432

Answer

C) 448

Question 5

What is the least number which when decreased by 7 is exactly divisible by each of 12, 16, 18, 21, and 28?

Accepted Answer

B) 1015

Answer

A) 1001

Answer

C) 1022

Answer

D) 995

Question 6

Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9, and 12 seconds. How many times will they toll together in a span of 3 hours, excluding the initial start?

Accepted Answer

A) 21

Answer

B) 22

Answer

C) 20

Answer

D) 24

Question 7

Find the greatest four-digit number which when divided by 15, 25, 40, and 75 leaves a remainder of 12 in each case.

Accepted Answer

C) 9612

Answer

A) 9600

Answer

B) 9912

Answer

D) 9588

Question 8

The HCF of two numbers is 13 and their LCM is 273. If one of these numbers lies strictly between 60 and 100, what is the value of that number?

Accepted Answer

A) 91

Answer

B) 78

Answer

C) 65

Answer

D) 84

Question 9

Three measuring rods are 64 cm, 80 cm, and 96 cm in length. What is the shortest length of a cloth that can be measured an exact number of times using any of these three rods?

Accepted Answer

D) 9.6 meters

Answer

A) 19.2 meters

Answer

B) 4.8 meters

Answer

C) 96 meters

Question 10

What is the smallest positive integer which when divided by 20, 25, 35, and 40 leaves remainders of 14, 19, 29, and 34 respectively?

Accepted Answer

B) 1394

Answer

A) 1406

Answer

C) 1396

Answer

D) 1400

Question 11

If the HCF of two numbers is 8, which of the following numbers can never be their LCM?

Accepted Answer

C) 60

Answer

A) 48

Answer

B) 56

Answer

D) 72

Question 12

What is the Highest Common Factor (HCF) of the fractions 2/3, 8/9, 16/81, and 10/27?

Accepted Answer

A) 2/81

Answer

B) 8/81

Answer

C) 2/3

Answer

D) 16/27

Question 13

The ratio of two numbers is 3:4 and their Least Common Multiple (LCM) is 180. What is the value of the larger number?

Accepted Answer

D) 60

Answer

A) 45

Answer

B) 75

Answer

C) 90

Question 14

In a race on a circular track of 400 meters, Runner A runs at 5 m/s and Runner B runs at 4 m/s in the same direction. After how many seconds will they meet at the starting point for the first time?

Accepted Answer

B) 400 seconds

Answer

A) 200 seconds

Answer

C) 800 seconds

Answer

D) 100 seconds

Question 15

Find the greatest number which can divide 1354, 1866, and 2762 leaving the exact same remainder in each case.

Accepted Answer

C) 128

Answer

A) 64

Answer

B) 256

Answer

D) 192