If the product of two numbers is 3026 and their LCM is 89, then their HCF is : 3

3. If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to
Options
A. 55/601
B. 601/55
C. 11/120
D. 120/11

Correct Answer: 11/120

Explanation:

Let the numbers be a and b . Then, a+b =55 and ab = 5 x 120 = 600.

Therefore, Required sum = $\frac{1}{a} + \frac{1}{b} = \frac{a + b}{a b} = \frac{55}{600} = \frac{11}{120}$

Correct Answer: ab

5. The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;
Options
A. 102
B. 64
C. 204
D. 92

Correct Answer: 204

6. The minimum value of LCM of given numbers is ........... the product of all the given numbers.
Options
A. always greater than
B. always less than
C. always equal to
D. None

Correct Answer: None

7. The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.
Options
A. 33
B. 66
C. 44
D. 77

Correct Answer: 66

8. If the product of two numbers is 4941 and their LCM is 81, then their HCF is :
Options
A. 60
B. 59
C. 35
D. 61

Correct Answer: 61

Correct Answer: 300

10. HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275 find the other number.
Options
A. 53
B. 45
C. 33
D. 43

Correct Answer: 33

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