R. Gupta Solutions for Chapter: NICL Administrative Officers Exam, Exercise 2: QUANTITATIVE APTITUDE

In school 'ABC', the respective ratio between the number of students in class $8,$ class $9$ and class $10$ in the year $2013$ was $4:5:6.$ If in $2014,$ the number of students in class $8$ and class $9$ increased by $10\%$ and $20\%$ respectively and the number of students in class $10$ decreased by $20\%,$ what was the respective ratio between the number of students in class $8,$ class $9$ and class $10$ in $2014?$

If the length of a rectangle is increased by $15\%$ and the breadth is decreased by $12\%,$ what is the percentage change in the area of the rectangle?

The ratio of present ages of Rahul and Rashmi is $2:1.$ The ratio of their ages after $30$ years will be $7:6.$ The present age of Rahul is:

Mr. Shindey had a sum of money which he decided to distribute among his wife, his one son and one daughter. He gave $25\%$ of the total money to his wife and the remaining amount he distributed in the respective ratio of $2:3$ among his son and daughter. If his daughter got $\mathrm{Rs}.24,300,$ how much money did Mr. Shindey have?

$\mathrm{Rs}.6,100$ was partly invested in scheme A at $10\%$ p.a. compound interest (compounded annually) for $2$ years and partly in scheme B at $10\%$ p.a. simple interest for $4$ years. Both the schemes generate equal interest amounts. How much was invested in scheme A?

Jar A and Jar B both contain a mixture of milk and water. Jar A has $80$ litres of the mixture out of which $20\%$ is water. The mixture in Jar B has $40\%$ of water. The mixture from the jars is poured in an empty jar C. The resultant respective ratio between milk and water in the Jar C is $5:2.$ What is the quantity of milk in Jar C? (in litres)

The sum of the present ages of a father and his son is $8$ years more than the present age of the mother. If the mother is $22$ years older to the son, what will be the age of the father after $4$ years?

A boat can travel $36 \mathrm{km}$ upstream in $5$ hours. If the speed of the stream is $2.4 \mathrm{kmph},$ how much time will the boat take to cover a distance of $78 \mathrm{km}$ downstream?