1 .
The curved surface of a solid cylinder is $2\over 3$ rd of its total surface and total surface area is$231 m^ 2$ , then the volume of cylinder is
A.  269$1 \over 2$ $m^2$
B.  259$1 \over 2$ $m^2$
C.  249$1 \over 2$ $m^2$
D.  239$1 \over 2$ $m^2$
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2 .
In an examination 70% students passed in English, 65% passed in Maths, 27% failed in both the subjects and 248 students passed in both the subjects. Find the total number of students
A.  275
B.  325
C.  400
D.  500
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3 .
Two trains are moving in the same direction at 75 km/hr and 48 km/hr. The faster train crosses a man sitting in the slower in 14 seconds. Find the length of faster train
A.  105 m
B.  115 m
C.  125 m
D.  215 m
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4 .
The simplified value of $ (secA - cosA)^ 2$ + $(cosecA - sinA)^ 2$ -$ (cotA - tanA)^ 2$ is
A.  0
B.  $1\over 2$
C.  1
D.  2
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5 .
A certain number of men complete a piece of work in 60 days. If there are 8 men more, the work could be finished in 10 days less. The number of men originally were
A.  32
B.  36
C.  30
D.  40
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6 .
After allowing a discount of 10% on marked price a trader makes a profit of 15%. The ratio of the marked price to the cost price is
A.  23 : 18
B.  23 : 19
C.  23 : 9
D.  23 : 10
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7 .
80 litres of a mixture contain milk and water in the ratio 27 : 5. How much more water is to be added to get a mixture containing milk and water in the ratio of 3 : 1 ?
A.  15 litres
B.  20 litres
C.  5 litres
D.  10 litres
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8 .
If the radius of the base of cone be 7 cm and its surface area be 550 $cm^2$ , then the volume of the cone is
A.  1132 $cm^3$
B.  1324$cm^3$
C.  1232$cm^3$
D.  1024$cm^3$
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9 .
Mohan lends Rs. 500 to John and a certain sum to Tom at the same time at a S.I. of 8% per annum. If in 4 years, he altogether receives Rs. 210 as interest from the both, then how much the sum of money he lent to Tom?
A.  Rs. 156.25
B.  Rs. 165.50
C.  Rs. 144.75
D.  Rs. 148
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10 .
Sriya with her family travelled from Bolpur to Suri by car of a speed of 40 km/hr and returned to Bolpur at a speed of 50 km/hr. The average speed for the whole journey is
A.  45$1\over 3$ km / hr
B.  44.78 km/hr
C.  44$4 \over 9$ km/hr
D.  45 km/hr
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