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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