1 .
A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What is the area of the remaining portion of the triangle?
A.  144$\sqrt 3$ - 48$\pi$$cm^2$
B.  121$\sqrt 3$ - 36$\pi$$cm^2$
C.  144$\sqrt 3$ - 36$\pi$$cm^2$
D.  121$\sqrt 3$ - 48$\pi$$cm^2$
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2 .
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is
A.  4.4 km/h
B.  4.25 km/h
C.  4.25 km/h
D.  5.15 km/h
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3 .
In an examination, a student's average marks were 63. If he had obtained 20 more marks in Geography and 2 more marks in history, then his average would have been 65. How many subjects were there in the examination?
A.  12
B.  11
C.  13
D.  14
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4 .
A booster pump can be used for filling as well as emptying a tank. The capacity of the tank is 2400 $m^3 $. The emptying capacity of the tank is 10 $m^ 3$ /min higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
A.  20 $m^3$
B.  40$m^3$
C.  50$m^3$
D.  60$m^3$
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5 .
A and B walking around a circular park at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, then how many times shall they meet each other before 9.30 a.m.?
A.  5
B.  6
C.  7
D.  8
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6 .
The profit is 320% of the cost price. The cost price increases by 25%, but the selling price remains constant. Find out approximately what percentage of the selling price is the profit?
A.  250%
B.  100%
C.  70%
D.  30%
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7 .
As per the observations of a person, standing exactly midway between two towers, the top of the two towers are at ang1le of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower?

(Given that tan 22.5° = $\sqrt2$ - 1)
A.  (1 - 2 $\sqrt 2$) :1
B.  (1 + 2 $\sqrt 2$) :1
C.  (3 + 2 $\sqrt 2$) :1
D.  (3 - 2 $\sqrt 2$) :1
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8 .
Prasanth bought a car and paid 10 % less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did he earn on the original price?
A.  17%
B.  16%
C.  18%
D.  14%
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9 .
If x = 8 + 3 $\sqrt 7$, then what is the value of $\sqrt x$ - $1 \over \sqrt x$ = ?
A.  $\sqrt {12}$
B.  4
C.  2
D.  $\sqrt {14}$
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10 .
Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P
A.  62%
B.  50%
C.  75%
D.  66%
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