1 . If $a^4$ + $b^4$ = $a^2$ $b^2$ , then ($a^6$ +$b^6$ ) will be equals to –
(A) 0
(B) 1
(C) $a^2$+ $b^2$
D) $a^2$ $b^4$ + $a^4$ $b^2$
A.  a
B.  b
C.  c
D.  d
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2 . A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 2 days of start and A left 3 days before the completion of work. In how many days will the work be completed ?
A.  20 days
B.  18 days
C.  16 days
D.  12 days
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3 . A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13 ?
A.  0
B.  1
C.  11
D.  12
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4 . Two trains 105 metres and 90 metres long, run at the speeds of 45 km/hr and 72 km/hr respectively, in opposite directions. The time which they take to cross each other, is –
A.  8 seconds
B.  6 seconds
C.  7 seconds
D.  5 seconds
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5 . Two trains, each of length 125 metre, are running in parallel tracks in opposite directions. One train is running at a speed 65 km/hour and they cross each other in 6 seconds. The speed of the other train is –
A.  75 km/hour
B.  85 km/hour
C.  95 km/hour
D.  105 km/hour
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6 . Two candle of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candidate burnished a constant rate. In how many hours after being lighted, the ratio between the first and second candle becomes 2 : 1?
A.  48 minutes
B.  1 hour 36 minutes
C.  36 minutes
D.  60 minutes
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7 . If the selling price of 4 articles is equal to the cost price of 5 articles, then the profit percent will be –
A.  20%
B.  22$1\over2$%
C.  25%
D.  30%
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8 . A motor-boat goes 2 km up-stream in a stream flowing at 3 km per hr and returns downst ream to the st art i ng point i n 30 minutes. Find the speed of the motorboat in still water.
A.  9.5 kmph
B.  8.5 kmph
C.  9 kmph
D.  8 kmph
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9 . If the circumcentre of a triangle lies outside it, then the triangle is –
A.  Equilateral
B.  Acute angled
C.  Right angled
D.  Obtuse angled
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10 . Each edge of a regular tetrahedron is 3 cm, then its volume is –
A.9$\sqrt2\over4$ $cm^3$
B.27$\sqrt3$ $cm^3$
C.4$\sqrt2\over9$ $cm^3$
D.9$\sqrt3$ $cm^3$
A.  a
B.  b
C.  c
D.  d
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