# Percentage, Ratio & Mixture – Math – Paper VI – WBCS Main Question Paper

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WBCS Main Math paper WBCS Main Math paper

## WBCS Main Question Paper – 2019

1. The ratio of bus and train fares from Burdwan to a certain place is 3 : 4. If the train fare increases by 20% and bus fare by 10% then what will be the new ratio of bus and train fares ?

(A) 12 : 23

(B) 11 : 16

(C) 12 : 15

(D) 16 : 15

2. When the price of rice increases 121/2 %, a man can get 250 gm less rice for Rs.18. Find the present cost of rice per kg.

(A) Rs. 8

(B) Rs. 7

(C) Rs. 9

(D) Rs. 7.50

3. Of four numbers, the second number is 20% more than the first, the third is 10% less than the second and the fourth number is 50% more than the third. If the fourth number is 405, find all the numbers.

(A) 300, 405, 250, 270

(B) 300, 270, 405, 250

(C) 275, 290, 310, 380

(D) 250, 300, 270, 405

4. The expense for rice, fish and oil of a family are as 12 : 17 : 3. The prices of these articles are increased by 20%, 30%  and 50% respectively. By what percent the expenses for these articles of the family will be increased ?

(A) 27 1/8%

(B) 27 1/7%

(C) 28 1/8%

(D) 29 1/8%

5. In a certain examination, a candidate answered 25 questions and two-fifth of the rest of the total number of questions and he found that thus he has answered only 60% of the total number of questions. How many questions did he answer ?

(A) 45

(B) 40

(C) 55

(D) 65

6. A man saves 20% of his income. If his expenses be increased by 35%, by what percent his income is to be raised so that he can save 10% of his income ?

(A) 20%

(B) 30%

(C) 25%

(D) 22%

7.  A mixture of milk and water contains 121/2 % of water. How much water should be added to 200 gallons of such mixture so that the new mixture may contain 371/2 % of water ?

(A) 70 gallons

(B) 100 gallons     .

(C) 60 gallons

(D) 80 gallons

8. One litre of spirit which contains 10% of water is added to 3 litres of spirit containing 7% of water and to this mixture half a litre is added. Find the percentage of water in the final mixture.

(wrong question)

(A) 15%

(B) 18%

(C) 20%

(D) 22%

9. A certain kind of brass is composed of copper, zinc, lead and tin, the ratio of copper to zinc is 1 : 2 of zinc to lead is 3 : 5 and of lead to tin is 7 : 8. Find the quantity of each metal in 213 gm brass.

(A) 21 gm, 42 gm, 70 gm, 80 gm

(B) 20 gm, 40 gm, 70 gm, 80 gm

(C) 20 gm, 40 gm. 70 gm, 90 gm

(D) 22 gm, 40 gm, 60 gm, 80 gm

14. 1200 boys and 600 girls are examined in a test. 42% of the boys and 30% of the girls passed. Find the percentage of those who failed ?

(A) 62%

(B) 70%.

(C) 53%

(D) 80%

99. The ratio of two numbers is 3 : 4 and their L.C.M. is 180. Find the numbers.

(A) 45, 60

(B) 40, 25

(C) 50, 30

(D) 30, 60

100. The ratio of two numbers is 5 : 8 and their difference is 69. Find the numbers.

(A) 120, 131

(B) 150, 163

(C) 115, 184

(D) 118, 173

## WBCS Main Question Paper – 2018

1.  The ratio of Velocity of hour’s hand and minute’s hand at a clock is

(A) 1 : 12

(B) 12 : 1

(C) 1 : 24

(D) 24 : 1

36. In an examination it is required to get 310 at the aggregate marks to pass. A student gets 28% mark and is declared failed by 93 marks. What are the maximum aggregate marks a student can get ?

(A) 685

(B) 765

(C) 775

(D) 875

41. A man bought a house for Rs.5 lakhs and rents it. He puts 121/2% of each month’s rent aside for repairs, pays Rs.1660 as annual taxes and realises 10% on his investment thereafter. The monthly rent of the house is

(A) Rs. 2460

(B) Rs. 2500

(C) Rs.4920

(D) Rs.5000

42. A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg. in the ratio 2 : 4 : 3 in terms of weight and sells the mixture at Rs. 33 per kg. What percentage of profit does he make ?

(A) 8%

(B) 9%

(C) 10%

(D) None of the above

43. Which of the following ratios is greatest ?

(A) 7 : 15
(B) 15 : 23

(C) 17 : 25

(D) 21 : 29

44. If the edge of a cube is increased by 25% then percentage increase in its surface area is  (x + y + xy/100 )

(A) 25%

(B) 48.75%

(C) 50%

(D) 56.25%

47. Average of ten positive numbers is x¯. If each number is increased by 10%, then x¯

(A) remains unchanged.

(B) may decrease.

(C) may increase.

(D) is increased by 10%.

57. A plot of 640 sq.ft. is available at the rate of Rs. 4,600 per sq.ft. If 30% of the total cost of the plot is to be paid for booking the plot. How much is the booking amount ?

(A) Rs.9,38,100

(B) Rs.8,83,200

(C) Rs.9,83,200

(D) Rs.8,38,100

64. Sushant spent 18% of his monthly salary on buying electronic goods and 32% of the monthly salary on repair work in his house. Out of remaining amount he invested 42% in fixed deposit. If he was left with Rs. 12,325, how much is his annual salary ?

(A) Rs. 5,18,000

(B) Rs. 5,15,600

(C) Rs. 5,10,000

(D) Rs. 5,01,000

65. Present age of Neha and Rashmi are in the ratio of 7 : 8 respectively. Six years hence, the ratio of their ages will become 9 : 10 respectively. What is Rashmi’s present age ?

(A) 36

(B) 24

(C) 28

(D) 40

94. A survey shows that 73% of the Indians like apples, whereas 65% like oranges. What percentage of Indians like both apples and oranges ?

(A) 83%

(B) 8%

(C) 38%

(D) 35%

95. A man saved Rs. 16,500 in 10 years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. How much did he save in the first year ?

(A) Rs.1200

(B) Rs.1650

(C) Rs.1000

(D) Rs.1020

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