76 .
A cone is inscribed in a hemisphere such that their bases are common. If C is the volume of the cone and H that of the hemisphere, then what is the value of C : H?
A.  1 : 2
B.  2 : 3
C.  3 : 4
D.  4 : 5
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77 .
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In the given triangle, AB is parallel to PQ. AP = c, PC= b,PQ = a, AB= x. What is the value of x?
A.  a + $ab \over c$
B.  a + $bc \over a$
C.  b + $ca \over b$
D.  a + $ac \over b$
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78 .
What is the number of points in the plane of a $\Delta$ABC which are at equal distance from the vertices of the triangle?
A.  0
B.  1
C.  2
D.  3
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79 .
An obtuse angle made by a side of a parallelogram PQRS with other pair of parallel sides is 150°. If the perpendicular distance between these parallel sides (PQand SR) is 20 cm, what is the length of the side RQ?
A.  40 cm
B.  50 cm
C.  60 cm
D.  70 cm
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80 .
42 men take 25 days to dig a pond. If the pond would have to be dug in 14 days, then what is the number of men to be employed?
A.  67
B.  75
C.  81
D.  84
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81 .
There are two taps Aand Bto fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap Aalone is on. How much time will tap Balone take, to fill up the same tank?
A.  64 min
B.  80 min
C.  96 min
D.  120 min
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82 .
A train started from a station with a certain number of passengers. At the first halt, $1\over 3$rd of its passengers got down and 120 passengers got in. At the second halt, half of the passengers got down and 100 persons got in. Then, the train left for its destination with 240 passengers. How many passengers were there in the train when it started ?
A.  540
B.  480
C.  360
D.  240
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83 .
If the HCF of$x^ 3$ + m$x^ 2$ - x+ 2mand $x^ 2$ + mx- 2 is a linear polynomial, then what is the value of m?
A.  1
B.  2
C.  3
D.  4
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84 .
A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage?
A.  10
B.  15
C.  20
D.  25
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85 .
If mean of y and $1\over y$ is M, then what is the mean of $y\over 3$ and $1 \over {y^3}$
A.  $M (M^2 - 3) \over 3$
B.  $M^3$
C.  $M^3$ - 3
D.  M(4$M^2$ - 3)
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86 .
From a series of 50 observations, an observation with value 45 is dropped but the mean remains the same. What was the mean of 50 observations?
A.  50
B.  49
C.  45
D.  40
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87 . Read the following information carefully to answer the questions that follow

The average age of 6 persons living in a house is 23.5 years. Three of them are majors and their average age is 42 years. The difference in ages of the three minor children is same
What is the mean of the ages of minor children?
A.  3 years
B.  4 years
C.  5 years
D.  6 years
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88 . Read the following information carefully to answer the questions that follow
What is the median of the ages of minor children?
A.  3 years
B.  5 years
C.  7 years
D.  Cannot be determined
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89 .
In how many ways can a committee of 4 people be chosen out of 8 people ?
A.  110
B.  32
C.  70
D.  126
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90 . Study the following Pie-chart carefully and answer the questions given below

image
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What is the ratio of the male Engineers and Designers to the same-occupation female professionals in the town?
A.  41 : 44
B.  55 : 53
C.  31 : 35
D.  44 : 41
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