If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 a

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Question
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 = $\frac{1}{a} + \frac{1}{b} = \frac{a + b}{a b} = \frac{55}{600} = \frac{11}{120}$

More questions

1. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by aLogic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Options
A. (13, 26, 39)
B. (15, 30, 45)
C. (17, 34, 51)
D. (19, 38, 59)

3. The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ?
Options
A. 12 years
B. 10 years
C. 14 years
D. 13 years

7. If the price of kerosene be raised by 11%, find by how much percent a house holder must reduce his consumption of kerosene so as not to increase his expenditure?
Options
A. 11%
B. 9.09%
C. 11.09%
D. 8.25%

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