Competitive Exams : Quantitative Aptitude - HCF/LCM (Set 2) | Concept of Maths

Question 1

Three security alarms are set to ring at intervals of 9, 12, and 15 minutes respectively. If they all ring together at 12:00 PM, after how many hours will they next ring together?

Accepted Answer

C) 3 hours

Answer

A) 9 hours

Answer

B) 6 hours

Answer

D) 12 hours

Question 2

A merchant has three containers of olive oil measuring 140 liters, 175 liters, and 210 liters. What is the maximum capacity of a standard measuring can that can measure the oil of each container an exact number of times?

Accepted Answer

B) 35 liters

Answer

A) 25 liters

Answer

C) 45 liters

Answer

D) 15 liters

Question 3

A rectangular courtyard is 18 meters 72 centimeters long and 13 meters 20 centimeters broad. If it is to be paved with identical square tiles, what is the least number of such tiles required?

Accepted Answer

C) 4290 tiles

Answer

A) 4120 tiles

Answer

B) 4380 tiles

Answer

D) 4450 tiles

Question 4

Three runners start running together on a circular track from the same point. They complete one lap in 24 seconds, 36 seconds, and 45 seconds respectively. After how many minutes will they meet again at the starting point?

Accepted Answer

A) 6 minutes

Answer

B) 8 minutes

Answer

C) 4 minutes

Answer

D) 5 minutes

Question 5

Identify the greatest number of four digits which is exactly divisible by 12, 15, 20, and 35.

Accepted Answer

D) 9660

Answer

A) 9240

Answer

B) 9820

Answer

C) 9960

Question 6

A gardener wants to plant trees in rows. If he plants 16, 20, or 24 trees in each row, he always has 5 trees left over. If he plants 23 trees in each row, no trees are left over. What is the lowest possible number of trees he has?

Accepted Answer

A) 2645

Answer

B) 1205

Answer

C) 1685

Answer

D) 2165

Question 7

Find the least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21, and 28.

Accepted Answer

B) 1015

Answer

A) 1001

Answer

C) 1022

Answer

D) 1035

Question 8

A school has 396 boys and 324 girls. They are to be divided into uniform groups of either only boys or only girls, with each group containing the same number of students. What is the maximum possible number of students in each group?

Accepted Answer

C) 36

Answer

A) 24

Answer

B) 18

Answer

D) 54

Question 9

The ratio of two positive numbers is 3:4, and their highest common factor (HCF) is 4. What is their lowest common multiple (LCM)?

Accepted Answer

A) 48

Answer

B) 12

Answer

C) 36

Answer

D) 16

Question 10

One electronic sensor beeps every 60 seconds, and another beeps every 62 seconds. If they beep together at 10:00 AM, at what time will they next beep together?

Accepted Answer

C) 10:31 AM

Answer

A) 10:45 AM

Answer

B) 10:15 AM

Answer

D) 10:30 AM