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SSC

Explore popular questions from LCM and HCF for SSC. This collection covers LCM and HCF previous year SSC questions hand picked by experienced teachers.

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LCM and HCF

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Q 1. The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is :

A

576

B

1296

432

D

144

Explanation

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Q 2. LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:

A

5

B

25

45

D

225

Explanation

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Q 3. The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is :

A

70

B

1690

364

D

1264

Explanation

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Q 4. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

A

204

240

C

260

D

320

Explanation

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Q 5. The HCF of two numbers 12906 and 14818 is 478. Their LCM is

400086

B

200043

C

600129

D

800172

Explanation

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Q 6. The H.C.F. and L.C.M. of two 2- digit numbers are 16 and 480 respectively. The numbers are :

A

40, 48

B

60, 72

C

64, 80

80, 96

Explanation



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Q 7. The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32, then the other number is

A

48

80

C

96

D

112

Explanation

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Q 8. The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is

A

185

111

C

107

D

101

Explanation

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Q 9. The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is :

A

50

75

C

65

D

100

Explanation

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Q 10. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

A

0

B

1

2

D

3

Explanation

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Q 11. The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is

A

20

B

25

15

D

5

Explanation

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Q 12. The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be :

160

B

150

C

120

D

140

Explanation

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Q 13. The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is

A

48

B

36

C

24

16

Explanation

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Q 14. The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is

A

36

48

C

72

D

96

Explanation

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Q 15. The product of two numbers is 216. If the HCF is 6, then their LCM is

A

72

B

60

C

48

36

Explanation

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Q 16. The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is

126

B

144

C

198

D

238

Explanation

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Q 17. The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is

A

4

B

3

2

D

1

Explanation

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Q 18. The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is :

A

105

B

90

C

60

45

Explanation

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Q 19. The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is

40

B

42

C

50

D

52

Explanation

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Q 20. The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is

A

132

B

135

C

140

144

Explanation

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Q 21. The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is

A

5

25

C

100

D

125

Explanation

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Q 22. Product of two co-prime numbers is 117. Then their L.C.M. is

117

B

9

C

13

D

39

Explanation

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Q 23. The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is

A

1

2

C

3

D

4

Explanation

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Q 24. LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is

297

B

584

C

189

D

216

Explanation

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Q 25. The product of two numbers is 2028 and their HCF is 13. The number of such pairs is

A

1

2

C

3

D

4

Explanation