Miscellaneous Question 59
In the given questions, two quantities are given. One as Quantity-I and the other is Quantity-II. You have to determine relationship between these two quantities and choose the appropriate options as given below :
(1) Quantity-I > II
(2) Quantity-I $<$ II
(3) Quantity-I $\leq$ II
(4) Quantity-I $\geq$ II
(5) Quantity-I = II (or) relationship cannot be established
- Quantity-1: The present ratio of ages of Kumar & Saran is 11: 12 and the ratio of ages of Kumar’s 2 years back to that of Saran’s 6 years hence is $2: 3$. Find the age of Kumar after 6 years?
Quantity-2: The average of 20 students in a class is 21 . The teacher of the class joined the school 35 years ago. Suppose, the age of teacher also is included then the average age is increased by 2 years. What was the age of the teacher when he joined the school?
Show Answer
Correct Answer: 59. (5)
Solution: 59. (5) Quantity-I:
$\frac{11 x-2}{12 x-6}=\frac{2}{3} \Rightarrow 33 x-6$
$=24 x+12$
$\Rightarrow 33 x-24 x=18 \Rightarrow 9 x=18$
$\Rightarrow x=2$
$\therefore$ A’s age 6 years hence
$=11 \mathrm{x}+6=28$ years
Quantity II:
If the age of teacher is 21 years then average remains unchanged.
But there is an increase by 2 years which means the teacher had given 2 years to everyone i.e. $(20+1)=21$
$\therefore$ Teachers’s age
$=21+(21 \times 2)$
$=21+42=63$ years
Therefore, the age of the teacher at the time of joining the school $=63-35=28$ years
BETA
