1 .
A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job in
A.  5 minutes
B.  10 minutes
C.  20 minutes
D.  80 minutes
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2 .
Two train of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes, the slower train in 36 seconds. The length of each train is:
A.  82 m
B.  50 m
C.  80 m
D.  72 m
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3 .
Two boats A and B start towards each other from two places, 108 km apart. Speeds of the boats A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after:
A.  4.5 hours
B.  4 hours
C.  5.4 hours
D.  6 hours
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4 .
If $x ^{x\sqrt x}$ = $(x\sqrt x)^x$. then x equal to
A.  $4 \over 9$
B.  $2 \over 3$
C.  $9\over 4$
D.  $3\over 2$
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5 .
If a$\neq$ b, then which of the following statements is true?
A.  $a + b \over 2$ = $\sqrt {ab}$
B.  $a + b \over 2$ < $\sqrt {ab}$
C.  $a + b \over 2$ > $\sqrt {ab}$
D.  All of the above
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6 .
If a*b= 2a + 3b - ab, then the value of (3*5+ 5*3) is:
A.  10
B.  6
C.  4
D.  2
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7 .
If x = 2 - $2^{1\over 3}$ + $2^{2\over 3}$ then the value of $x^3$ - 6$x^2$ + 18x = 18 is
A.  22
B.  33
C.  40
D.  45
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8 .
If p+q = 10 and pq=5 then the numerical value of $p\over q$ + $q\over p$ will be:
A.  16
B.  20
C.  22
D.  18
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9 .
If x and y are positive real numbers and xy=8, then the minimum value of 2x+y is:
A.  9
B.  17
C.  10
D.  8
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10 .
If tan 2$\theta$ tan 4$\theta$ =1, then the value of tan 3$\theta$ is:
A.  $\sqrt 3$
B.  0
C.  1
D.  $1 \over \sqrt 3$
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