Competitive Exams : Quantitative Aptitude - HCF/LCM (Set 7) | Concept of Maths

Question 1

The ratio of two numbers is 15:11. If their HCF is 13, find the numbers.

Accepted Answer

A) 195 and 143

Answer

B) 180 and 130

Answer

C) 210 and 154

Answer

D) 165 and 121

Question 2

Find the greatest number which can divide 1354, 1866, and 2762 leaving the same remainder of 10 in each case.

Accepted Answer

B) 64

Answer

A) 32

Answer

C) 128

Answer

D) 16

Question 3

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

Accepted Answer

A) 1394

Answer

B) 1406

Answer

C) 1396

Answer

D) 1400

Question 4

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the larger of the two numbers?

Accepted Answer

C) 322

Answer

A) 276

Answer

B) 299

Answer

D) 345

Question 5

Find the least number which when divided by 5, 6, 7, and 8 leaves a remainder of 3 in each case, but when divided by 9 leaves no remainder.

Accepted Answer

A) 1683

Answer

B) 843

Answer

C) 2523

Answer

D) 3363

Question 6

Three measuring rods are 64 cm, 80 cm, and 96 cm in length. Find the least length of cloth (in meters) that can be measured an exact number of times using any of the three rods.

Accepted Answer

A) 9.6 meters

Answer

B) 19.2 meters

Answer

C) 4.8 meters

Answer

D) 96 meters

Question 7

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 pairs

Answer

A) 2 pairs

Answer

B) 3 pairs

Answer

D) 5 pairs

Question 8

Find the highest common factor (HCF) of the fractions 2/3, 8/9, 16/81, and 10/27.

Accepted Answer

A) 2/81

Answer

B) 80/3

Answer

C) 2/3

Answer

D) 16/81

Question 9

The lowest common multiple (LCM) of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, find their difference.

Accepted Answer

A) 10

Answer

B) 20

Answer

C) 45

Answer

D) 90

Question 10

A rectangular courtyard is 18 meters 72 cm long and 13 meters 20 cm broad. It is to be paved with square tiles of the same size. Find the least number of such tiles required.

Accepted Answer

A) 4290

Answer

B) 4160

Answer

C) 4400

Answer

D) 4520

Question 11

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds respectively. If they all change simultaneously at 8:20:00 hours, at what time will they change simultaneously again?

Accepted Answer

A) 8:27:12 hours

Answer

B) 8:27:24 hours

Answer

C) 8:28:12 hours

Answer

D) 8:27:00 hours

Question 12

Find the greatest 4-digit number which is exactly divisible by each of 12, 15, 18, and 27.

Accepted Answer

A) 9720

Answer

B) 9960

Answer

C) 9840

Answer

D) 9450

Question 13

What is the least number of soldiers in a regiment such that they can be stood in rows of 15, 20, or 25 and also form a perfect square?

Accepted Answer

A) 900

Answer

B) 1600

Answer

C) 3600

Answer

D) 400

Question 14

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) 30 times

Answer

D) 17 times

Question 15

Find the greatest number of four digits which when divided by 10, 15, and 20 leaves a remainder of 7 in each case.

Accepted Answer

A) 9967

Answer

B) 9997

Answer

C) 9907

Answer

D) 9847