Miscellaneous Question 95
In each question, there are two different statements given as Quantity I and Quantity II. You have to consider the statements individually and mark your answer accordingly as per the given codes.
(1) Quantity I $>$ Quantity II
(2) Quantity I $<$ Quantity II
(3) Quantity I $\geq$ Quantity II
(4) Quantity I $\leq$ Quantity II
(5) Quantity I = Quantity II or relationship cannot be established (IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)
- Quantity I : The age of the father is three times of his son. 5 years ago the age of son was $\frac{1}{5}$ times of his father. Find the present age of mother, if at the time of marriage of his mother, she was 5 years younger than his father.
Quantity II : 30
Show Answer
Correct Answer: 95. (2)
Solution: 95. (2) Quantity I :
Son’s age $=x$ years (let)
$\therefore$ Father’s age $=3 x$ years
5 years ago,
$x-5=\frac{1}{5}(3 x-5)$
$\Rightarrow 5 x-25=3 x-5$
$\Rightarrow 5 x-3 x=25-5$
$\Rightarrow 2 x=20 \Rightarrow x=10$
$\therefore$ Father’s age $=30$ years
$\therefore$ Mother’s age $=30-5$
$=25$ years
Clearly,
quantity I < quantity II