SSC SECTION OFFICER (COMMERCIAL AUDIT)
Previous Year Paper
Part II : AIRTHMETIC
76. A trader sells his goods at a discount of 20 per cent. He still makes a profit of 25 per cent. If he sells the goods at the marked price only, his profit will be
(a) 56.25 per cent (b) 25.56 per cent
(c) 50.25 per cent (d) 54.25 per cent
77. The total surface area of a metallic hemisphere is 1848 cm2 . The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its height is
(a) 21 cm. (b) 26 cm.
(c) 28 cm. (d) 30 cm.
78. A circle is inscribed in an equilateral triangle of side 8 cm. The area of the portion between the triangle and the
circle is
(a) 11 cm2 . (b) 10.95 cm2 .
(c) 10 cm2 . (d) 10.50 cm2 .
79. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volumes is
(a) 1:2:3 (b) 2:1:3
(c) 1:3:2 (d) 3:1:2
80. The difference between a discount of 40 per cent on Rs. 500 and two successive discounts of 36 per cent and 4 per cent on the same amount is
(a) zero (b) Rs. 1.93
(c) Rs. 2.00 (d) Rs. 7.20
81. If a discount of 20 per cent on the marked price of a shirt saves a man Rs. 150, how much did he pay for the shirt?
(a) Rs. 600 (b) Rs. 650
(c) Rs. 500 (d) Rs. 620
82. In a cricket match the total number of runs scored by Sachin, Vinod and Saurav is 285. The ratio of the number of runs scored by Sachin and Saurav is 3:2 and that of the runs scored by Sourav and Vinod is also 3:2. The number of runs scored by Sachin in that match is
(a) 135 (b) 90
(c) 60 (d) 140
83. If A:B = 2:3 and B:C = 4:5, then A:B:C is
(a) 2:3:5 (b) 5:4:6
(c) 6:4:5 (d) 8:12:15
84. If two times of A is equal to three times of B and also equal to four times of C, then A:B:C is
(a) 2:3:4 (b) 3:4:2
(c) 4:6:3 (d) 6:4:3
85. In a bag, there are three types of coins- rupee, 50-paise and 25-paise in the ratio 3:8:20. Their total value is Rs. 372. The total number of coins is
(a) 1200 (b) 961
(c) 744 (d) 612
86. 5 years ago, the average age of A,B,C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E?
(a) 25 years (b) 40 years
(c) 45 years (d) 64 years.
87. 200 liters of a mixture contains milk and water in the ratio 17:3. After the addition of some more milk to it, the ratio of milk of water in the resulting mixture becomes 7:1. The quantity of milk added it was
(a) 20 liters. (b) 40 liters.
(c) 60 liters. (d) 80 liters.
88. 3333(333)(333)(334)3333333334++-???is equal to
(a) 12 (b) 11
(c) 10 (d) 15
89. The least number, which is a perfect square and is divisible by each of the numbers 16,20 and 24, is
(a) 1600 (b) 3600
(c) 6400 (d) 14400
90. The L.C.M. of the two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is
(a) 215 (b) 220
(c) 225 (d) 235
91. The least one of 4 2 3,25, 8 and 3 2 is
(a) 23 (b) 4 25
(c) 8 (d) 32 121212... + + +
92. is equal to
(a) 3 (b) 4
(c) 6 (d) 2
93. If (a-b) is 6 more than (c+d) and (a+b) 3 is less than (c-d), then (a-c) is
(a) 0.5 (b) 1
(c) 1.5 (d) 2.5
94. In a test, a student got 30 per cent marks and failed. In the same test, another student got 40 per cent marks and secured 25 marks more than the essential minimum pass mark. The maximum marks for the test were
(a) 400 (b) 480
(c) 500 (d) 580
95. 200 liters of a mixture contains 15 per cent water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5 per cent milk is
(a) 30 liters. (b) 35 liters.
(c) 40 liters. (d) 45 liters.
96. A man sold two chairs at Rs. 1,200 each. On one hand he gained 20 per cent and on other he lost 20 per cent. His gain or loss in the whole transaction is
(a) 1 per cent loss. (b) 2 per cent loss.
(c) 4 per cent loss. (d) 1 per cent gain.
97. By what per cent must the cost price be raised in fixing the sale price in order that there may be a profit of 20 per cent after allowing a commission of 10 per cent?
(a) 25 (b) 13313
(c) 3313(d) 30
98. If the price of petrol be raised by 20 per cent, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is
(a) 16 13 (b) 162 3
(c) 1523(d) 151 3
99. If the circumference of a circle is increased by 50 per cent, then the area will be increased by
(a) 50 per cent (b) 75 per cent
(c) 100 per cent (d) 125 per cent
100. A,B,C enter into a partnership. A contributes Rs. 3,20,000 for 4 months, B contributes Rs. 5,10,000 for 3 months and C contributes Rs. 2,70,000 for 5 months. If the total profit be Rs. 1,24,800, then A’s share of profit is
(a) Rs. 38,400 (b) Rs. 45,900
(c) Rs. 40,500 (d) Rs. 41,500
101. The value of (12+22+32…?+202)-(1+2+3+….+20) is
(a) 5320 (b) 4200
(c) 3150 (d) 2660
102. If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in
(a) 18 days. (b) 24 days.
(c) 30 days. (d) 40 days.
103. A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, the tank is filled in 40 minutes. The pipe B alone can fill the tank in
(a) 45 minutes. (b) 60 minutes.
(c) 75 minutes. (d) 90 minutes.
104. From a point in the interior of an equilateral triangle, the lengths of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is
(a) 48 cm2 . (b) 163cm2 .
(c) 1923 cm2 . (d) 192 cm2 .
105. If the altitude of a triangle is increased by 10 per cent while its area remains same, its corresponding base will have to be decreased by
(a) 10 per cent (b) 9 per cent
(c) 1911 per cent (d) 1119per cent
106. The simple interest on a sum of money is 1 16 of the principal and the number of years is equal to the rate per cent per annum. The rate per annum is
(a) 112per cent (b) 2 1 2 per cent
(c) 312per cent (d) 4 1 2 per cent
107. Running at 5 4 of his usual speed, an athlete improves his timing by 5 minutes. The time he usually take to run the same distance is
(a) 30 minutes. (b) 28 minutes.
(c) 25 minutes. (d) 23 minutes.
108. In a race of 1000 m, A can beat B by 100 m, In a race of 400 m, B beats C by 40m. In a race of 500 m, A will beat C by
(a) 95 m. (b) 50 m.
(c) 45 m. (d) 60 m.
109. A sum of Rs. 6,000 is deposited for 3 years at 5 per cent per annum compound interest (compounded annually). The difference of interest for 3 and 2 years will be
(a) Rs. 75.00 (b) Rs. 30.75
(c) Rs. 330.75 (d) Rs. 375.00
110. The difference between the compound and the simple interests on a sum for 2 years at 10 per cent per annum, when the interest is compounded annually, is Rs.28. If the interest were compounded half yearly, the difference in the two interests will be
(a) Rs. 44 (b) Rs. 28.35
(c) Rs. 43.41 (d) Rs. 43.29
111. A dealer sold 34of his articles at a gain of 20 per cent and the remaining at cost price. The gain percent earned by him in the whole transaction is
(a) 13 (b) 14
(c) 15 (d) 16
112. Mohan brought 25 books for Rs. 2,000 and sold them at a profit equal to the selling price of 5 books. The selling price of 1 book is
(a) Rs. 100 (b) Rs. 120
(c) Rs. 150 (d) Rs. 200
113. 7 kg of tea costing Rs. 280 per kg is mixed with 9 kg of tea costing Rs. 240 per kg. The average price of the mixed tea is
(a) Rs. 225.80 (b) Rs. 257.50
(c) Rs. 267.20 (d) Rs. 267.50
114. Of the three numbers, the second is twice the first and is also thrice the third. If the average of these numbers is 44, the largest number is
(a) 24 (b) 36
(c) 72 (d) 108
115. The average of 30 numbers is 15. The average of the first 18 numbers is 10 and that of next 11 numbers is 20. The last number is
(a) 56 (b) 52
(c) 60 (d) 50
116. Two-third of a consignment was sold at a profit of 5 per cent and the remainder of loss of 2 per cent. If the total profit was Rs. 400, then the value of the consignment was
(a) Rs. 15,000 (b) Rs. 15,500
(c) Rs. 16,000 (d) Rs. 16,500
Directions. Q. 117-120 : These questions are based on the following bar graph and the question
FINANCES IF XYX RAILWAYS640075008500940053005100580069008000880002000400060008000100002001-022002-032003-042004-052005-06 Gross Traffic ReceiptsTotal Expenditure
117. In which year was the profit , as a percent of gross traffic receipts, the highest?
(a) 2005-06 (b) 2004-05
(c) 2003-04 (d) 2002-03
118. In order to make profit 10 percent what should have been the gross traffic receipts (in Rs. Crores) in 2002-03, total expenditure remaining the same?
(a) 6186 (b) 5876
(c) 6444 (d) 7667
119. What was the percentage increase in the gross traffic receipt in 2003-04 as compared to 2001-02?
(a) 33.9 (b) 41.5
(c) 20.7 (d) 17
120. If profit=gross traffic – total expenditure, then in 2004-05 what percentage of gross traffic receipts is the profit made?
(a) 5.9 (b) 6.4
(c) 7.2 (d) 8.0
121. The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is
(a) 76 (b) 94
(c) 184 (d) 364
122. If a = 5151+- and b= 5151-+, the value of 2222aabbaabb??++??-+?? is
(a) 34 (b) 43
(c) 35 (d) 53
123. One’s digit of (2137)754 is
(a) 1 (b) 3
(c) 7 (d) 9
124. 1111...1223341011++++???? is equal to
(a) 911 (b) 1011
(c) 1211 (d) 109 110
125. The sum of two 2-digit numbers is 132. If their H.C.F. is 11, the numbers are
(a) 55, 77 (b) 44, 88
(c) 33, 99 (d) 22,110
Answer Key:-
76. (c) 77. (b) 78. (a) 79. (d) 80. (a)
81. (a) 82. (d) 83. (d) 84. (b) 85. (c) 86. (b) 87. (c) 88. (b) 89. (c) 90. (c)
91. (b) 92. (c) 93. (a) 94. (c) 95. (c) 96. (c) 97. (b) 98. (d) 99. (a) 100. (d)
101. (b) 102. (d) 103. (c) 104. (c) 105. (d) 106. (c) 107. (a) 108. (c) 109. (c)
110. (c) 111. (a) 112. (b) 113. (c) 114. (d) 115. (a) 116. (d) 117. (a) 118. (c)
119. (a) 120. (d) 121. (b) 122. (d) 123. (b) 124. (a) 125. (c)
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