MPPSC Prelims exam paper 12 January 2020 Paper-2 General Aptitude (Answer Key)

61. Energy conservation is very important today because
(A) Sources of conventional energy are fast depleting
(B) Electrical energy has become more expensive
(C) Electrical energy consumption is increasing
(D) None of the above

62. P, O, R, S and T are to be seated in a row facing north, but Rand S cannot be together. Also, Q cannot be at third place. If Pand Q are together and Ris at the first place, then which of the following cannot be true ?
(A) S is at fourth place
(B) S is at second place
(C) P is at third place
(D) None of the above

63. Mother : Parent
(A) Uncle : Nephew
(B) Sister: Sibling
(C) Father : Son
(D) Daughter : Sister

64. In certain code language, 256 means you are good’, 637 means ‘we are bad’ and 358 means ‘good and bad? Which of the following correctly represents ‘and’ in that code language ? (A) 2
(B) 5
(C) 3
(D) 8

65. Assumption I :
Sandhya bought 7 ½ litres of oil. Out of this, 5 ¾ litres is consumed. 1 ⅓ litres is left in her kitchen.
Assumption II :
Arjun reads 3/5 of a book. He finds that there are still 80 pages left to be read. Total number of pages in the book is 200.
(A) Only Assumption I is implicit
(B) Only Assumption II is implicit
(C) Both Assumptions are implicit
(D) Neither Assumption I nor II is implicit

Directions (Question Nos. 66 – 69) : Read the following excerpt and answer the questions asked at the end.
In a party, a square table with each edge measuring 200 cm, is kept in the garden such that the four edges of the table are either parallel to North-South or East – West. Eight persons (P, Q, R, S, T, U, V and W) are sitting around this table facing the centre of the table. Four persons are sitting at the comers of the table and the remaining four are sitting at the centre of each of the edge of the table.
P and W are facing each other and the distance between them is the maximum possible distance between any two persons sitting around the table.
The directions referred in the data and questions below are with respect to absolute ones and are independent of the orientation of the individuals. Vis sitting North of Sand East of P. Ris sitting North of U and West of O.

66. The following two are sitting at equal distance to W
(A) S and Q
(B) V and S
(C) V and R
(D) V and Q

67. Who is sitting to the left of the person S?
(A) U
(B) P
(C) T
(D) W

68. The distance between Wand R is equal to
(A) 100
(B) 200
(C) 100√5
(D) 100√2

69. Who of the following is/are sitting either North or South of T?
(A) Only Q
(B) Q and W
(C) Only R
(D) R and P

70. Cell phone usage has been steadily increasing in recent times. This definitely means that
(A) Cell phones have become cheap
(B) People started getting more income
(C) Many cell phone shops have opened
(D) Cell phone companies give many advertisements

71. In the figure below, AC + AB = 5AD and AC – AD = 8. The area of the rectangle ABCD is

(A) 36
(B) 50
(C) 60
(D) 70

72. As shown in the figure below, four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to arca. Find the area of the square that is not covered by the coins.

(A) 16(π – 1)
(B) 16(16 – π)
(C) 16(4 – π)
(D) 16/4 – π/2)

73. 2/5 of the voters promise to vote for A and the rest promised to vote for B. Of these, on the last day 15% of the voters went back of their promise to vote for A and 25% of voters went back of their promise to vote for B. A lost by 200 votes. Then, the total number of voters is
(A) 10000
(B) 11000
(C) 9000
(D) 9500

74. 40% employees of a company are men and 75% of the men earn more than ₹25,000 per year. If 45% of the company’s employees earn more than ₹25,000 per year, what fraction of the women employed by the company earn ₹25,000 or less per year?
(A) 2/11
(B) 1/4
(C) 1/3
(D) 3/4

75. Let p and q be the roots of the quadratic equation x² – (α – 2)x -α-1 =0. What is we minimum possible value of p² + q² ?
(A) 0
(B) 3
(C) 4
(D) 5

Directions (Question Nos. 76 – 80) : Study the following bar-chart carefully to answer the questions given below. The bar-chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S and T) in the year of 2015. The percent profit or loss of a company is given by (% Profit/Loss) =

76. Find out which of the following companies earned the maximum profit in the year 2015 ?
(A) 2
(B) T
(C) R
(D) S

77. Find out which of the following companies had the maximum loss in the year 2015 ?
(A) P
(B) Q
(C) R
(D) S

78. What was the profit/loss percentage of the five companies together had in the year 2015 ?
(A) 6.5% loss
(B) 7.5% profit
(C) 5% profit
(D) 5% loss

79. What was the profit/loss percentage of the companies P and together had in the year 2015 ?
(A) 5.25% profit
(B) 5.25% loss
(C) 6.25% profit
(D) No loss and no profit

80. The company S had a loss of 20% in the year 2014 and the company’s income in the year 2015 was 25% more than its income in the year 2014. What was its expenditure (in lakhs of rupees) in the year 2014?
(A) 320
(B) 360
(C) 400
(D) 420

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