Time Allotted:
30 minutes.
Time Taken:
Questions 123 and 124 are based on the following data : In a locality, there are five small towns, A,B,C,D and E. The distances of these towns from each other are as follows : AB = 2 km AC = 2 km AD > 2 km AE > 3 km BC = 2 km BD = 4 km BE = 3 km CD = 2 km CE = 3 km DE > 3 km
Question No. 1
123. If a ration shop is to be set up within 2 km of each city, how many ration shops will be required ? a. 2 b. 3 c. 4 d. 5
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Question No. 2
124. If a ration shop is to be set up within 3 km of each city, how many ration shops will be required ? a. 1 b. 2 c. 3 d. 4
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Question No. 3
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Question No. 4
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Question No. 5
103. A student is told that the distance travelled by a body is directly proportional to the square of the time elapsed. The student mistakes the relation to be an inverse proportion instead of a direct proportion. If the student is to find the distance travelled by the body in 10 sec., how many times the correct answer is the answer that he has got ? a] 100 b] 0.01 c] 10000 d] 0.0001
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Question No. 6
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Question No. 7
105. If 3 men and 3 women are to be seated in a row so that no two women sit together, how many arrangements are possible ? a] 144 b] 72 c] 288 d] 216
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Question No. 8
106. The ratio of the costs of HP oil and BP oil is 2 : 3. A mixture of the two oils containing 30% HP oil is sold at Rs. 40 per litre, thus making a profit of 10% of the selling price. Find the cost of a litre of BP oil. a] Rs. 50 b] Rs. 26.67 c] Rs. 40 d] Rs. 45
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Question No. 9
107. In the quadrilateral shown, PPCT09/D/Q107/I04 and PPCT09/D/Q107/I04, when extended. If < ABC = 225 deg., find < D. a] 90 deg. b] 45 deg. c] 135 deg. d] 225 deg.
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Question No. 10
108. A and B swim a 1500 m race in a 25 m swimming pool. A swims 50 meters in the time B takes to swim 40 m. If both swim at a constant rate, how many times do they meet, before A completes the race ? a] 58 b] 60 c] 59 d] 62
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Question No. 11
109. A 6 faced die and 8 faced teetotum are thrown. What is the probability that the sum of the numbers seen is 4 ? a] 1/48 b] 1/24 c] 1/16 d] 1/12
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Question No. 12
110. Rs. 10,000 at 10% interest compounded annually, in 30 months yields a] Rs. 12,100 b] Rs. 13,310 c] Rs. 12,535 d] Rs. 12,705
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Question No. 13
129. A and B together can complete a job in p days. B and C together in q days and C and A together in r days. If p < r < q , the three workers in the ascending order of efficiency are [1] A, B,C [2] B,C,A [3] A,C,B [4] C, B, A
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Question No. 14
135. If a/b = c/d = e/f = 2/3; determine the value of (2a + 3c)/(2b + 3d) - (3b - 2d)/(3e - 2c). A. 2/3 B. 0 C. -5/6 D. 5/3
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Question No. 15
Direction for questions 112 to 151 : Choose the correct answer.
137] Ordinary dice are number so that the opposite faces sum to seven. An icosahedron is a solid figure consisting of twenty triangular faces. If an icosahedron was numbered in the same manner as a die, with opposite faces summing to a constant, what would this constant be ? [a] 12 [b] 22 [c] 31 [d] 21
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Question No. 16
Direction for questions 98 to 132 : Choose the correct choice.
123. In a triangle where no two angles are equal, the difference between the largest and the second largest is the same as the difference between the smallest and the next higher angle. Find the second largest angle ? [1] 54 degree [2] 60 degree [3] Can't be determine [4] Neither of these . [3] Can't be determine [4] Neither of these.
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Question No. 17
Direction for questions 111 to 150 : In the following questions choose the correct alternative.
111. The number of integers x satisfying - x + 5 greater than or equal to 0 and 2x greater than or equal to 10 is a. 0 b. 1 c. 2 d. 3
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Question No. 18
87. A man staying in town A leaves his house for exactly 10 hours everyday to sell vegerables. He procures his vegatables from either the local town A market or from either of the three neighbouring towns B,C, or D. It takes him 1 hour to reach C, and 1.5 hours to reach D from A. The time required to travel from B to C, C to D, and B to D is 1 hour. In 1 hour, he sells exactly 1 kg of vegetables. The rates of vegatables in the four towns is as follows : A= Rs. 20/kg, B= Rs. 25/kg, C=Rs. 10/kg, D = Rs. 11/kg. He completes each day without any stock at the end. 87. The maximum profit he can make by selling in town A only, is A) Rs. 60 B) Rs. 63 C) Rs. 50 D) Rs. 80
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Question No. 19
88. A man staying in town A leaves his house for exactly 10 hours everyday to sell vegerables. He procures his vegatables from either the local town A market or from either of the three neighbouring towns B,C, or D. It takes him 1 hour to reach C, and 1.5 hours to reach D from A. The time required to travel from B to C, C to D, and B to D is 1 hour. In 1 hour, he sells exactly 1 kg of vegetables. The rates of vegatables in the four towns is as follows : A= Rs. 20/kg, B= Rs. 25/kg, C=Rs. 10/kg, D = Rs. 11/kg. He completes each day without any stock at the end. 88. How many extra hours should he put in, in order to earn 50% more than what he earned as mentioned in the question 87 ? A) 5 hours B) 3.5 hours C) 4 hours D) None of these
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Question No. 20
89. A man staying in town A leaves his house for exactly 10 hours everyday to sell vegerables. He procures his vegatables from either the local town A market or from either of the three neighbouring towns B,C, or D. It takes him 1 hour to reach C, and 1.5 hours to reach D from A. The time required to travel from B to C, C to D, and B to D is 1 hour. In 1 hour, he sells exactly 1 kg of vegetables. The rates of vegatables in the four towns is as follows : A= Rs. 20/kg, B= Rs. 25/kg, C=Rs. 10/kg, D = Rs. 11/kg. He completes each day without any stock at the end. 89. If he decides to buy from C and sell in B, what is the profit earned by him? A) Rs. 60 B) Rs. 40 C) Rs. 90 D) Rs. 100
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Question No. 21
90. A man staying in town A leaves his house for exactly 10 hours everyday to sell vegerables. He procures his vegatables from either the local town A market or from either of the three neighbouring towns B,C, or D. It takes him 1 hour to reach C, and 1.5 hours to reach D from A. The time required to travel from B to C, C to D, and B to D is 1 hour. In 1 hour, he sells exactly 1 kg of vegetables. The rates of vegatables in the four towns is as follows : A= Rs. 20/kg, B= Rs. 25/kg, C=Rs. 10/kg, D = Rs. 11/kg. He completes each day without any stock at the end. 90. If he decides to buy from D and sell at A but plans to buy a bicycle which will reduce the time he takes to travel by 2/3rd and if in exactly 30 days he makes extra money equivalent to the price of the bicycle, the price of the bicycle is A) Rs. 540 B) Rs.600 C) Rs. 810 D) None of these
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Direction for questions 140 to 149 : Each question given below contains two statements giving certain data. You have to select your answer from (1) to (4) depending on the sufficiency of the data given in the two statements to answer the question. You will mark the answer as 1] If statementI alone is sufficient. [2] If statement II alone is sufficient. [3] If both statements together are needed. [4] If both statements together also are not sufficient.
Question No. 22
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Question No. 23
143. A man's suit was discounted to $140. What was its list price. I. There would be a $10 fee for alterations. II. The sale was at "30% off the list price."
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Question No. 24
144. In the expression 3x - 2y < z, is y positive ? I. x = 3 II. z = 17
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Question No. 25
145. What is the value of p ? I. 2p + 3r = 11 II. p - r = 5
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Question No. 26
146. What is the width MN of rectangle MNOP ? PHCT04/D/Q146/I07 I. OP = x + 4 II. The area is 48.
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Question No. 27
147. What is the range of a sports car on one tank of gasoline ? I. The tank holds 50 litres. II. It consumes 8 litres of gasoline for each 100 kilometres.
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Question No. 28
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Question No. 29
149. What is the diameter of the wheel above ? PHCT04/D/Q149/I09 I. The wheel has rolled 36 feet. II. Point p has touched the ground 5 times.
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Direction : Each of the questions 107-113 is followed by two statements. As the answer, Mark a, if the question can be answered with the help of statement A alone. Mark b, if the question can be answered with the help of statement B alone. Mark c, if the question can be answered with the help of both the statements A and B, but not with the help of either statement by itself. Mark d, if the question can not be answered even with the help of both the statements.
Question No. 30
107. What is the value of b ? A. a, b, c are in arithmetic progression. B. a, b, c are in geometric progression.
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Question No. 31
108. What is the value of the non-negative integer X ? A. X - Y < 10 B. - X - Y > 8
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Question No. 32
109. Five sticks of equal length are joined end to end to form a closed figure. Is the area of the figure the maximum possible ? A. All the sides of the figure are equal. B. All the angles are less than 180 degree.
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Question No. 33
110. What is the cost of a camera film ? A. You get a film free if you buy a camera worth Rs. 1000. B. You do not get any film free if you buy a camera worth Rs. 900
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111. If c = 2, a = ? A. PPCT08/D/Q111/I04 B. PPCT08/D/Q111/I04
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Question No. 35
112. It takes 10 minutes to machine-stitch a shirt and 20 minutes to machine-stitch a pant. How many clothes are stitched in an 8-hour non-shop working shift ? A. At least 18 shirts are stitched B. Shirts and trousers are stitched in the ratio 2 : 1
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Question No. 36
113. What are the ages of my three daughters Eena, Meena and Dika on their common birthday ? A. Sum of the squares of their ages is 14. B. Their ages are 3 consecutive numbers.
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Question No. 37
Direction for questions 119 to 158 : Choose the correct answer.
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Question No. 38
125. A bib costs Rs. 30 and a milk bottle Re. 1. If you buy more than a dozen bottles, you get 1 bottle free for every 12 that you pay for. If you also buy a bib, you get 10% off your total bill. How much would you need to pay if you need 26 bottles and bib? A. Rs. 54.00 B. Rs. 32.30 C. Rs. 51.40 D. Rs. 48.60
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Questions 129 to 133 are based on the following information : Persons X, Y and Z wish to go from place A to place B, which are separated by a distance of 70 km. All the three persons start off together from A, with X and Y going on a moped at a speed of 20 kmph. X drops Y off somewhere along the way and returns to pick up Z, who has already startded walking towards B at a speed of 5 kmph. Y, later being dropped off by X, starts walking towards B at a speed of 5 kmph. In this manner, all three of them reach B at the same time.
Question No. 39
129. How much distance is covered by Z on foot ? a. 25 km b. 10 km c. 20 km d. 15 km
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Question No. 40
130. What is the total distance travelled by X ? a. 130 km b. 140 km c. 110 km d. 90 km
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Question No. 41
131. How long does it take them to go from A to B ? a. 6.0 hours b. 6.5 hours c. 7.0 hours d. 14.0 hours
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Question No. 42
132. After how much time is Y dropped off on the way by X ? a. 2.0 hours b. 3.0 hours c. 2.5 hours d. 1.5 hours
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Question No. 43
133. For how long does X travel alone over the entire journey ? a. 2.5 hours b. 1.0 hours c. 2.0 hours d. 1.5 hours
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Question No. 44
111. What is the volume of water needed to fill an aquariam measuring 3m x 4m x 5m if 10 m. cube is taken up by fish food? A. 40 m. cube B. 120 m. cube C. 50 m. cube D. 90 m. cube
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Question No. 45
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