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Question 1:

Find the value of y for which the distance between the point P ( 2 , -3 ) and Q ( 10 , y ) is 10 units.

Question 2:

Ratio of monthly incomes of A and B is $5: 8$ and that of their monthly expenditure is 4 : 7 . If the income of $A$ is equal to expenditure of $B$, then what is the ratio of savings of $B$ to savings of A?

Question 3:

A person bought a chair and a table for RS. $750 .$ He sold the chair at a gain of $5 \%$ and the table at a gain of $20 \%$. He gained $16 \%$ on the whole. What is original cost of table ?

Question 4:

100 kg rice is sold partially at 10% profit. The remaining is sold at 20% profit. If the total profit of his selling is 12%, then what quantity of rice he sold at 20% ?

Question 5:

A sum is lent out for 2 years. The rate of interest is $4 \%$ for first year and $7 \%$ for the second year. If difference of the compound and simple interest is Rs.84. Find out the sum?

Question 6:

Aakash purchased a chair and then sold it. If the ratio of the cost price and selling price is $25: 29$, then the profit percentage is:

Question 7:

Find the maximum length of a rod that can be placed inside a cubical room of side $8 \mathrm{~m}$.

Question 8:

The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and denominator is decreased by 3 , the fraction becomes $\frac{2}{3}$, then find the fraction?

Question 9:

Average number of masks of a medicine company is $\mathrm{N}$ and average number of sanitizers of the company is $56 .$ If masks and sanitizers are in the ratio of $7: 11$ and overall average of both is $52.5 .$ Find average of number of masks.

Question 10:

Direction : What should come in place of question mark (?) in the following question?

$3.9 \times 2.7=$ ? $\%$ of $70.2$