1 .
The average weight of a group of 53 girls was calculated as 58 kgs. It was later discovered that the weight of one of the girls was read as 65 kgs., whereas her actual weight was 45 kgs. What is the actual average weight of the group of 53 girls ? (rounded off to two digits after decimal)
A.  58.62 kgs
B.  58.37 kgs
C.  57.37 kgs
D.  57.37 kgs
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2 .
What is/are the real value(s) of$ (256)^ {0.16 }$ $\times$$ (16)^ {0.18 }$ ?
A.  Only - 4
B.  Only 4
C.  4, - 4
D.  2, - 2
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3 .
What is the square root of 9 + 2 $\sqrt {14}$ ?
A.  1 + 2 $\sqrt 2$
B.  $\sqrt 3$ + $\sqrt 6$
C.  $\sqrt 2$ + $\sqrt 7$
D.  $\sqrt 2$ + $\sqrt 5$
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4 .
An aeroplane flies along the four sides of a square at a speed of 100, 200, 300 and 400 km/h, respectively. What is the average speed of the plane in its flight around the square?
A.  196 km/h
B.  200 km/h
C.  250 km/h
D.  None of the above
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5 .
The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
A.  36.5 kg
B.  35 kg
C.  36 kg
D.  34.6 kg
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6 .
A railway ticket for a child costs half the full fare but the reservation charge is the same on half tickets as much as on full ticket. One reserved first class ticket for a journey between two stations is Rs.362, one full and one half reserved first class tickets cost Rs.554. What is the reservation charge?
A.  Rs.18
B.  Rs.22
C.  Rs.38
D.  Rs.46
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7 .
If $3 \over x + y$ + $2 \over x - y$ = 2 and $9 \over x + y$ - $4 \over x - y$ = 1, then what is the value of $x \over y$ ?
A.  $3 \over 2$
B.  5
C.  $2 \over 3$
D.  $1 \over 5$
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8 .
If sin x+ cos x= cthen $sin^ 6$ x+ $cos^ 6$ x is equal to
A.  $1 + 6c^2 - 3c^4 \over 16 $
B.  $1 + 6c^2 - 3c^4 \over 4$
C.  $1 + 6c^2 + 3c^4 \over 16 $
D.  $1 + 6c^2 + 3c^4 \over 4 $
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9 .
From the top of a cliff 200 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 45° , respectively. What is the height of the tower?
A.  400 m
B.  400$\sqrt 3$ m
C.  $400 \over \sqrt 3$
D.  None of the above
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10 .
The angle of elevation of a cloud from a point 200 m above a lake is 30 and the angle of depression of its reflection in the lake is 60. The height of the cloud is
A.  200 m
B.  300 m
C.  400 m
D.  600 m
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