1 . A tank can be f ill ed by t wo pipes in 20 minutes and 30 minutes respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was stopped and the tank was filled in 18 minutes. After how much time of the start was the first pipe stopped ?
A.  5 minutes
B.  8 minutes
C.  10 minutes
D.  12 minutes
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2 . A hare sees a dog 100 metres away from her and scuds off in the opposite direction at a speed of 12 km per hr. A minute later the dog perceives her and chases her at a speed of 16 km per hr. At what distance from the spot dog will overtake the hare when the hare took flight ?
A.  900 metre
B.  950 metre
C.  1000 metre
D.  1100 metre
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3 . A train met with an accident 3 hours after starting, which detains it for one hour, after which it proceeds at 75% of its original speed. It arrives at the destination 4 hours late. Had the accident taken place 150 km further along the railway line, the train would have arrived only 3$1\over2$ 2 hours late. Find the length of the trip and the original speed of the train
A.  1100 km and 100 kmph
B.  1200 km and 100 kmph
C.  1200 km and 90 kmph
D.  1600 km and 90 kmph
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4 . A motorboat in still water travels at a speed of 36 kmph. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be –
A.  2 hours 25 minutes
B.  3 hours
C.  1 hour 24 minutes
D.  2 hours 21 minutes
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5 .
A.  a
B.  b
C.  c
D.  d
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6 .
A.  32
B.  8
C.  1
D.  0
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7 . the value of $1\over20$+$1\over30$+$1\over42$+$1\over56$+$1\over72$+$1\over90$ is ---
A.$31\over10$
B.$3\over5$
C.$3\over20$
D.$7\over20$
A.  a
B.  b
C.  c
D.  d
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8 . (x+$1\over x$)(x-$1\over x$)($x^2$ + $1\over x^2$ -1)($x^2$ + $1\over x^2$ +1) is equal to --

A.$x^6$ + $1\over x^6$
B.$x^8$ + $1\over x^8$
C.$x^8$ - $1\over x^8$
D.$x^6$ - $1\over x^6$
A.  a
B.  b
C.  c
D.  d
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9 . The value of the expression

$(a-b)^2\over (b-c)(c-a)$+ $(b-c)^2\over (b-c)(c-a)$+ $(c-a)^2\over (b-c)(c-a)$ is --
A.  0
B.  3
C.  $1\over2$
D.  2
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10 . If a+ b+ c= 2s, then $(s-a)^2+(s-b)^2+(s-c)^2+(s-d)^2+d^2\over a^2+b^2+c^2$ is equal to –

A.  $a^2+b^2+c^2$
B.  0
C.  1
D.  2
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