DSSSB PRT MATHS QUIZ 6

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Question 1:

Average age of $A, B$ and $C$ is 34 years, 7 years ago, average age of $A$ and $C$ was 23 years. If $B$ is 10 years older than $\mathrm{C}$, then find the age of A. (in years)

Question 2:

B borrows 10000 from A at 8%p.a. simple interest and lent it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays to A, the profit made by B in the transaction is:

Question 3:

The cost price of an article is $75 \%$ of its marked price. How much percent does a shopkeeper gain if he gives a discount of $18 \%$ on the article?

Question 4:

Sindhu and Sonia started a retail store with initial investments in the ratio $5: 6$ and their annual profits were in the ratio $2: 3$. If Sindhu invested the money for 8 months. For how many months did Sonia invest his money?

Question 5:

If 76 is added to the $40 \%$ of a number then its value becomes 53 more than the square of the number, Then find the number.

Question 6:

A circular pavement was to be built around a square park of side is $12 \mathrm{~cm}$. The maximum width of pavement is $4 \mathrm{~m}$. calculate the cost of cementing the pavement at Rs. 16 per $\mathrm{m}^{2}$.

Question 7:

A police man saw a thief from a distance of 300 m and started running towards him. If speed of police man and thief are 24 km/h and 15 km/h respectively. find the distance thief had run before getting caught.

Question 8:

Three friends Ram, Atul and Mukesh can together complete a work in 8 days. If Mukesh refused to work with them, then Ram and Atul together can complete the work in 10 days and Ram alone can complete the work in 16 days. It was decided that Ram and Mukesh will together complete $70\%$ of the work and the rest will be completed by Atul alone. The total time taken by them to complete the work is.

Question 9:

In a class, there are 15 students at the age of 18 years, 12 students at the age of 23 years and 7 students at the age of 13 years. What is the average age of a student?

Question 10:

In what ratio should oil costing Rs.200/liter be mixed with oil costing 240/liter so that after selling the mixture at Rs.258/liter there is a gain of $20 \%$ ?