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HCF Test-2

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(1). The L.C.M of two numbers is 1428 and their H.C.F is 102. If one of the number is 204. Find the other number?

  • (a). 754
  • (b). 523
  • (c). 814
  • (d). 714
  • (e). None of these
Answer : 714

Explanation:

(2). The HCF of two number is 1/5th of their LCM. If the product of the two numbers is 720, the HCF is___?

  • (a). 12
  • (b). 20
  • (c). 15
  • (d). 18
  • (e). None of these
Answer : 12

Explanation:

(3). The HCF of two number is 1/6th of their LCM. If the product of the two numbers is 384, the HCF is___?

  • (a). 15
  • (b). 16
  • (c). 5
  • (d). 8
  • (e). None of these
Answer : 8

Explanation:

(4). The LCM of two numbers 14 times their HCF. The sum of LCM and HCF is 600. If one number is 80, then the other is _____,

  • (a). 40
  • (b). 280
  • (c). 105
  • (d). 160
  • (e). None of these
Answer : 280

Explanation:

(5). Which of the following pairs is co-prime (number which are prime to each other)

  • (a). (6, 18)
  • (b). (8, 12)
  • (c). (9 , 16)
  • (d). (14, 35)
  • (e). None of these
Answer : (9 , 16)

Explanation:

(6). Find the two numbers whose HCF is 15 and their product is 5400.

  • (a). (15,360) or( 45, 120)
  • (b). (10,540) or( 9, 600)
  • (c). (15,180) or( 45, 120)
  • (d). (30,180) or( 80, 120)
  • (e). None of these
Answer : (15,360) or( 45, 120)

Explanation:

(7). The HCF of two numbers is 5 and product of their L.C.M and H.C.F is 750 . Find two numbers.

  • (a). (15,50) or ( 5, 150)
  • (b). (10,75) or ( 20, 12)
  • (c). (25,30) or ( 15, 50)
  • (d). (25,60) or ( 90, 10)
  • (e). a) and c)
Answer : a) and c)

Explanation:

(8). The HCF of two numbers is 2 and their product is 12. Find the two numbers.

  • (a). 4 , 1
  • (b). 2 , 8
  • (c). 3 , 5
  • (d). 2 , 6
  • (e). None of these
Answer : 2 , 6

Explanation:

(9). If the sum of two numbers is 112 and the HCF and LCM of these number is 16 and 192 respectively, then the sum if the reciprocals of the numbers is equal to?
  • (a). 1
  • (b). 2
  • (c). 3
  • (d). 4
  • (e). None of these
Answer : 1

Explanation:

(10). If the sum of two numbers is 95 and the HCF and LCM of these number is 5 and 240 respectively, then the sum if the reciprocals of the numbers is equal to?
  • (a). 1
  • (b). 2
  • (c). 3
  • (d). 4
  • (e). None of these
Answer : 3

Explanation: