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Question 1:

Find the value

$\tan 20^{\circ}+\tan 40^{\circ}+\sqrt{3} \tan 20^{\circ} \cdot \tan 40^{\circ}$

Question 2:

$\sqrt{6+\sqrt{6+\sqrt{6+\ldots . .}}}$ is equal to:

Question 3:

What is the fourth proportional to 15,12 and 20 .

Question 4:

A person takes a loan of Rs. 500 at $20 \%$ Simple interest. He return Rs. 200 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay:

Question 5:

If for some $\theta$ lying between $0^{\circ}$ and $90^{\circ}, \tan \theta=1$, then what is the value of $\sin ^{2} \theta-2 \sin \theta \cos \theta ?$

Question 6:

Manish is 15 years elder to Ramesh. If 5 years ago, Manish was 4 times as old as Ramesh, then find present age of Manish.

Question 7:

What should come in place of question mark(?)

244.03 - 654.02 + ? ÷ 2.01 = 835.01

Question 8:

A discount of 30% on the marked price of a toy reduces its selling price by Rs. 30 . What is the new selling price (in rs.)?

Question 9:

Two items $A$ and $B$ are sold at a profit of $12 \%$ and loss of $8 \%$ respectively. If the amount of profit earned and loss suffered is the same, then the cost price of $A$ and B may be:

Question 10:

Find the value of $\frac{3^{7}-1}{(\sqrt{9})^{6}}$