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Question 1:

A person takes a loan of Rs. 10,000 partly from a bank at $8 \%$ p.a. and remaining from another bank at $10 \%$ p.a. He pays a total interest of Rs. 950 per annum. Amount of loan taken from the first bank (in Rs.) is:

Question 2:

Train A takes 50 minutes more than train B to travel a distance of $420 \mathrm{~km}$. Due to engine trouble, speed of train $B$ falls by onethird, So it takes $30 \mathrm{~min}$ more than train A to complete the same journey what is the speed of train A?

Question 3:

A boat can cover a distance of $72 \mathrm{~km}$ downstream and $32 \mathrm{~km}$ upstream in 20 hours. It can also cover $15 \mathrm{~km}$ downstream and 6 km upstream in 4 hours. What is the speed of boat when going downstream (in $\mathrm{km} / \mathrm{h}$ )?

Question 4:

If $5 \cos \theta+12 \sin \theta=13$, then $\tan \theta=$

Question 5:

Find the quadratic equation whose one root is $2+\sqrt{2}$

Question 6:

Simplify and find the value of $x$ in the following questions:

$(7)^{x}=16 \frac{2}{3} \%$ of $9846+19(22+18)$

Question 7:

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

$\sqrt{1296} \times \sqrt{3136}=? \times \sqrt{15876}$

Question 8:

The volume of a cubical box is $4.096 \mathrm{~m}^{3}$. The length of the edge of the box is:

Question 9:

A hollow cylindrical tube, open at both ends is made of iron $2 \mathrm{~cm}$ thick. The volume of iron used in making the tube, If the external diameter is $14 \mathrm{~cm}$ and length of tube is 77 $\mathrm{cm}$ is

Question 10:

Eight metallic balls of one centimetre radius each are melted into one ball. The diameter of the new ball (in cm) is