QUANTITATIVE APTITUDE - H.C.F AND L.C.M SET 03

H.C.F AND L.C.M SET 03

1. 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?
 

A) 4          B) 10          C) 15         D) 16
 

2. The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
 

A) 15 cm          B) 25 cm          C) 35 cm          D) 42 cm 
 

3. Find the Greatest Number that will devide 43, 91  and 183  so as to leave the same remainder in each case
 

A) 4          B) 7          C) 9          D) 13 
 

4. H.C.F of 4 x 27 x 3125,  8 x 9 x 25 x 7  and   16 x 81 x 5 x 11 x 49 is
 

A) 180          B) 360      C) 540          D) 1260
 

5. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is    
 

A) 101          B) 107          C) 111          D) 185 
 

6. The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is
 

A) 12          B) 16          C) 24          D) 48 
 

7. Which of the following has most number of divisors?
 

A) 99          B) 101         C) 176          D) 182
 

8. A drink vendor has 80 liters of Mazza, 144 liters of Pepsi, and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
 

A) 35          B) 36          C) 37          D) 38 
 

9. A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square miles of equal size required to cover the entire floor of the room.
 

A) 107         B) 117         C) 127         D) 137 
 

10. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
 

A.68        B.98        C.180        D.364        E. None of these

Answer Keys:
1. D
2. C
3. A
4. A
5. C
6. D
7. C
8. C
9. B
10. D