1. Find the HCF of 126, 180 and 216.
A) 12 B) 24 C) 36 D) 18
2. Find the LCM of 75, 120 and 150.
A) 640 B) 450 C) 600 D) 720
3. Find the LCM of 
A) 
B) 50 C) 60 D) 
4. Two numbers are in the ratio of 9 : 13. If their HCF is 11, find the sum of squares of numbers.
A) 30520 B) 35020 C) 32050 D) 30250
5. The HCF of two numbers is 13 and their LCM is 4368. If one of the numbers is 91, find the other number.
A) 660 B) 624 C) 642 D) 690
6. Three numbers are in the ratio of 2 : 5 : 8 and their LCM is 3280. Their HCF is.....
A) 35 B) 40 C) 41 D) 39
7. Find the least number which when divided by 5, 9, 12, 18, 21 and leave the same remainder 2 each case.
A) 1260 B) 1560 C) 1562 D) 1262
8. Find the greatest number that will divide 39, 89 and 104 so as to leave the same remainder in each case.
A) 5 B) 10 C) 9 D) 4
9. If the sum of two numbers is 63 and the HCF and LCM of these numbers are 7 and 126 respectively, then the sum of the reciprocals of the numbers is equal to....
A) 15 B) 14 C) 
D) 
10. Find the least number which when divided by 21, 27, 35 leaves the remainder 11, 17 and 25 respectively.
A) 945 B) 935 C) 640 D) 630
11. Four bells toll at intervals of 3, 5, 9,15 minutes respectively. If they start tolling together at 9 a.m. How many times they toll together in 12 hours?
A) 12 times B) 11 times C) 16 times D) 17 times
12. Three planets revolve round the Sun once in 240, 320 and 400 days, respectively in their own orbits. When do (in days) they all come relatively to the same position as at a certain point of time in their orbits?
A) 4100 B) 4200 C) 4800 D) 4600
13. If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.
A) 
B) 
C) 6 D) 4
14. Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square?
A) 900 B) 400 C) 3600 D) 144
15. The HCF of two numbers is 17 and the other two factors of the LCM are 11 and 19. The smaller of the two numbers is.....
A) 209 B) 187 C) 323 D) 319
16. The LCM of and is.....
A) 28.5 B) 52.5 C) 101.5 D) 25.25
17. The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What is the sum of their reciprocals?
A) 
B) 
C) 
D) 
18. Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
A) 7 B) 9 C) 8 D) 5
Key
1-D ; 2-C ; 3-C ; 4-D ; 5-B ; 6-C ; 7-D ; 8-A ; 9-D ; 10-B ; 11-D ; 12-C ; 13-A ; 14-A ; 15-B ; 16-B ; 17-A ; 18-A
