Competitive Exams : Quantitative Aptitude - HCF/LCM (Set 9) | Concept of Maths

Question 1

Find the greatest number which divides 1354, 1866, and 2762 to leave the same remainder in each case.

Accepted Answer

B) 128

Answer

A) 64

Answer

C) 256

Answer

D) 74

Question 2

Three bells toll together at intervals of 14, 18, and 21 minutes respectively. If they toll together now, after how many hours will they toll together next?

Accepted Answer

A) 2 hours 6 minutes

Answer

B) 2 hours 12 minutes

Answer

C) 2 hours 18 minutes

Answer

D) 3 hours

Question 3

The HCF and LCM of two numbers are 18 and 3780 respectively. If one of the numbers is 270, find the other number.

Accepted Answer

C) 252

Answer

A) 216

Answer

B) 234

Answer

D) 288

Question 4

Find the least number which when divided by 18, 27, 36, and 45 leaves remainders 13, 22, 31, and 40 respectively.

Accepted Answer

A) 535

Answer

B) 545

Answer

C) 525

Answer

D) 540

Question 5

Find the greatest number of four digits which is exactly divisible by 12, 18, 24, and 28.

Accepted Answer

B) 9576

Answer

A) 9828

Answer

C) 9072

Answer

D) 9912

Question 6

The sum of two numbers is 468 and their HCF is 18. How many pairs of such numbers can be formed?

Accepted Answer

C) 6

Answer

A) 4

Answer

B) 5

Answer

D) 8

Question 7

The ratio of two numbers is 5:7 and their LCM is 525. Find the difference between the two numbers.

Accepted Answer

B) 30

Answer

A) 15

Answer

C) 45

Answer

D) 60

Question 8

Find the least number which when decreased by 7 is exactly divisible by 15, 21, 28, and 35.

Accepted Answer

C) 427

Answer

A) 413

Answer

B) 420

Answer

D) 434

Question 9

An organic fruit vendor has three crates containing 136 apples, 170 oranges, and 238 pears. She wants to pack them into equal-sized cartons such that each carton contains only one type of fruit and no fruit is left over. What is the maximum number of fruits that can be packed in each carton?

Accepted Answer

B) 34

Answer

A) 17

Answer

C) 51

Answer

D) 68

Question 10

The HCF of two numbers is 13 and their LCM is 546. If one of the numbers lies between 60 and 90, find that number.

Accepted Answer

B) 78

Answer

A) 65

Answer

C) 91

Answer

D) 84

Question 11

Find the HCF of the fractions: 4/5, 12/25, 16/15, and 24/35.

Accepted Answer

A) 4/525

Answer

B) 2/175

Answer

C) 8/525

Answer

D) 4/105

Question 12

Find the LCM of fractions: 5/6, 15/8, and 25/12.

Accepted Answer

C) 75/2

Answer

A) 75/4

Answer

B) 25/2

Answer

D) 150

Question 13

Let N be the greatest number that will divide 137, 245, and 389, leaving remainders 5, 5, and 5 respectively. Find the sum of the digits of N.

Accepted Answer

A) 3

Answer

B) 5

Answer

C) 6

Answer

D) 9

Question 14

The HCF and LCM of two numbers are 21 and 462 respectively. If the sum of these two numbers is 273, find the difference between them.

Accepted Answer

B) 189

Answer

A) 168

Answer

C) 210

Answer

D) 231

Question 15

Find the least perfect square number which is exactly divisible by 8, 12, 15, and 20.

Accepted Answer

D) 3600

Answer

A) 900

Answer

B) 1600

Answer

C) 2400