 # HCF and LCM Problems (Basic)

Q.1. What is the L.C.M. of 25, 30, 35 and 40?
1. 3800
2. 4200
3. 4400
4. 3200
5. None of these
Q.2. What is the greatest number which divides 639, 1065 and 1491 exactly?
1. 193
2. 183
3. 223
4. 213
5. 233
Q.3. What is the H.C.F. of 4/9, 10/21 and 20/63?
1. 4/189
2. 6/63
3. 2/63
4. 20/21
5. None of these
Q.4. The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?
1. 66, 77
2. 70, 84
3. 94, 108
4. 84, 96
5. 66, 106
Q.5. The HCF of two numbers is 29 & their sum is 174. The possible numbers are
1. 1,174
2. 74,100
3. 29, 154
4. 29, 145
5. None of these
Q.6. Find the side of the largest square slab which can be paved on the floor of a room 5 meters 44cm long and 3 meters 74 cm broad.
1. 56 cm
2. 42 cm
3. 38 cm
4. 34 cm
5. 48 cm
Q.7. The product of two numbers is 6760 and their H.C.F. is 13. How many such pairs can be formed?
1. 0
2. 3
3. 4
4. 1
5. 2
Q8. least perfect cube which is divisible by 2, 3, 4 and 6 is
1. 360
2. 216
3. 512
4. 1728
5. 120
Q9. The least perfect square number which is divisible by 3, 4, 5, 6 and 8 is
1. 900
2. 1200
3. 2500
4. 3600
5. 1600
Q10. 3 different pieces of iron are of varying length are given to a student which are 44cm, 22 cm,55 cm respectively.He has to form rods of maximum length such that no iron waste is left.Find the maximum length of such rod.
1. 28 cm
2. 14 cm
3. 42 cm
4. 63 cm
5. 11 cm