Competitive Exams: Quantitative Aptitude - HCF/LCM (Set 6)

Question 1

Three bells toll together at intervals of 9, 12, and 15 minutes respectively. If they toll together now, after how many hours will they toll together next?

Accepted Answer

A) 3 hours

Answer

B) 6 hours

Answer

C) 9 hours

Answer

D) 12 hours

Question 2

Find the greatest number of four digits which is exactly divisible by 12, 15, 18, and 27.

Accepted Answer

B) 9720

Answer

A) 9690

Answer

C) 9930

Answer

D) 9960

Question 3

What is the least number which when doubled will be exactly divisible by 12, 18, 21, and 30?

Accepted Answer

A) 630

Answer

B) 1260

Answer

C) 2520

Answer

D) 315

Question 4

The ratio of two numbers is 3:4 and their HCF is 4. What is their LCM?

Accepted Answer

D) 48

Answer

A) 12

Answer

B) 16

Answer

C) 24

Question 5

A merchant has three kinds of wine: 120 liters, 180 liters, and 240 liters. He wants to bottle them in equal-sized containers without mixing. What is the minimum number of containers required?

Accepted Answer

B) 9

Answer

A) 60

Answer

C) 12

Answer

D) 15

Question 6

Find the greatest number which divides 134, 159, and 184 leaving the same remainder in each case.

Accepted Answer

C) 25

Answer

A) 15

Answer

B) 20

Answer

D) 30

Question 7

Let N be the greatest number that will divide 1305, 4665, and 6905, leaving the same remainder in each case. What is the sum of the digits of N?

Accepted Answer

A) 4

Answer

B) 5

Answer

C) 6

Answer

D) 8

Question 8

Three pieces of timber of lengths 42 meters, 49 meters, and 63 meters respectively have to be divided into planks of equal length. What is the greatest possible length of each plank?

Accepted Answer

A) 7 meters

Answer

B) 14 meters

Answer

C) 21 meters

Answer

D) 3 meters

Question 9

The sum of two numbers is 528 and their HCF is 33. How many pairs of such numbers can be formed?

Accepted Answer

C) 4

Answer

A) 2

Answer

B) 3

Answer

D) 5

Question 10

The HCF of two numbers is 11 and their LCM is 7700. If one of the numbers is 275, what is the other number?

Accepted Answer

C) 308

Answer

A) 279

Answer

B) 283

Answer

D) 318

Question 11

Find the least number which when divided by 20, 25, 35, and 40 leaves remainders of 14, 19, 29, and 34 respectively.

Accepted Answer

A) 1394

Answer

B) 1400

Answer

C) 1406

Answer

D) 1384

Question 12

What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15, and 18?

Accepted Answer

D) 364

Answer

A) 94

Answer

B) 184

Answer

C) 274

Question 13

The product of two co-prime numbers is 117. What should be their LCM?

Accepted Answer

D) 117

Answer

A) 1

Answer

B) 9

Answer

C) 13

Question 14

Find the greatest length that can be used to measure exactly the lengths 4 meters 95 centimeters, 9 meters, and 16 meters 65 centimeters.

Accepted Answer

D) 45 cm

Answer

A) 15 cm

Answer

B) 25 cm

Answer

C) 35 cm

Question 15

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. In 30 minutes, how many times do they toll together?

Accepted Answer

B) 16 times

Answer

A) 15 times

Answer

C) 17 times

Answer

D) 18 times