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Question 1:

Simplify the value:

$5 \frac{1}{5} \div\left[3 \frac{1}{2}-\left\{\frac{5}{6}-\left(\frac{3}{5}+\frac{1}{10}-\frac{4}{15}\right)\right\}\right]$

Question 2:

The average age of 14 girls and  teacher's is 16 years. If teacher's age is excluded the average reduced by 1 . What is the teacher's age.

Question 3:

In an election only 2 candidates participate. $10 \%$ voters of voting list did not vote. Out of the total votes polled, 300 votes were found invalid and hence the winner got $60 \%$ votes of the voting list and therefore won by a margin of 900 votes. Find the number of voters in the voting list

Question 4:

A trader buys an article at a discount of $20 \%$ on its list price and marks it at $25 \%$ above the list price. If he allows a $20 \%$ discount on the new list price, then his profit percent is?

Question 5:

If a certain amount is lent at compound interest for 3 years at 10% ,15% and 20% for first year, second year and third respectively. Find the compound interest for 3 years.

Question 6:

If Lalita leaves home and drives to her school at a speed of 45 kmph, she reaches 5 minutes late than when she drives at 60kmph speed. Find the distance to her school (in km ).

Question 7:

2 men and 4 boys can do a piece of work in 10 days, while 4 men and 5 boys can do it in 6 days. Men and boys are paid wages according to their output. If the daily wage of a man is Rs. 40, then the ratio of daily wages of a man and a boy will be :

Question 8:

A rectangular water reservoir contains 42,000 liters of water. Find the depth of water in the reservoir, if the base measures 6m by 3.5m.

Question 9:

In the circle given below, the chord AB is produced to meet the tangent DE at D. If AB=24 cm ,  DE=9 cm, then what is the length of BD?

Question 10:

If $\cot x=\tan \left(3 x-30^{\circ}\right), x$ is an acute angle then $\tan x$ is equal to