71. A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?
(a) 1 : 6
(b) 1 : 5
(c) 1 : 25 br>
(d) 1 : 125 br>
Ans : (b)
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72. If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius?
(a) 37.5
(b) 24
(c) 9
(d) 15
Ans : (c)
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73. The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?
(a) 20 ft
(b) 25 ft
(c) 750 ft
(d) 900 ft
Ans : (d)
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74. The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?
(a) 3 minutes
(b) 2 minutes
(c) 2.4 minutes
(d) 2 minutes 40 seconds
Ans : (b)
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Quantitative Ability : Trignometry
75. a and b are the lengths of the base and height of a right angled triangle whose hypotenuse is h. If the values of a and b are positive integers, which of the following cannot be a value of the square of the hypotenuse?
(a) 13
(b) 23
(c) 37
(d) 41
Ans : (b)
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Quantitative Ability : Menstruation
76. The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?
(a) 30
(b) 51.96
(c) 47.32
(d) 81.96
Ans : (c)
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77. What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?
(a) 3
(b) Infinity
(c) 1
(d) None of these
Ans : (c)
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Ratio And Proportion
78. Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?
(a) Rs.192
(b) Rs.133
(c) Rs.144
(d) Rs.128
Ans : (c)
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79. If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?
(a) 8 men
(b) 12 men
(c) 2 men
(d) 24 men
Ans : (c)
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80. Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
(a) 48
(b) 135
(c) 24
(d) None of these
Ans : (c)
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