Kiran Expert Team Solutions for Chapter: Mock Test Model Practice Set, Exercise 11: Quantitative Aptitude

A and B have their monthly incomes in the ratio $8:5$, while their monthly expenditures are in the ratio $5:3$. If they have saved $Rs.12000$ and $Rs.10000$ monthly respectively, then the difference in their monthly incomes is: 

A boy aged $12$ years is left with $Rs. 100000$ which is under a trust. The trustees invest the money at $6\%$ per annum and pay the minor boy a sum of $Rs. 2500$, for his pocket money at the end of each year. The expenses of trust come out to be $Rs. 500$ per annum. Find the amount that will be handed over to the minor boy after he attains the age of $18$ years.

If $a^2+b^2+c^2=2\left(a-b-c\right)-3$, then the value of $a+b+c$ is:

A bus starts running with the initial speed of $33km/hr$ and its speed increases every hour by cer- tain amount. If it takes $7$ hours to cover a distance of $315 km$, what will be hourly increment (in $km/hr$) in the speed of the bus? 

What is the compound interest (in $Rs.$) on $Rs. 12500$ at the rate of $12\%$ per annum compounded yearly for $2$ years?

An amount was lent for two years at the rate of $20\%$ per annum compounded annually. Had the compounding been done half yearly, the interest would have increased by $Rs. 241$. What was the amount (in $Rs.$) lent?

Two guns are fired from the same place at an interval of $6$ minutes. A person approaching the place observes that $5$ minutes $52$ seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is $330$m/sec, the man was approaching that place at what speed in $km/h$?

The diagonals $AC$ and $BD$ of a cyclic quadrilateral $ABCD$ intersect each other at the point $P$. Then, it is always true that: