SSC CPO Exam Paper - 2017 "held on 01 July 2017" Shift-1 (Quantitative Aptitude)
SSC CPO Exam Paper - 2017 "held on 01 July 2017" Shift-1
(Quantitative Aptitude)
QID : 101 - If N = (√7 - √3)/(√7 + √3), then what is the value of N + (1/N)?
Options:
1) 2√2
2) 5
3) 10
4) 13
Correct Answer: 5
QID : 102 - What is the simplified value of (2 + 1)(22 + 1)(24 + 1)(28 + 1)?
Options:
1) 28 - 1
2) 216 - 1
3) 232 - 1
4) 264 - 1
Correct Answer: 216 - 1
QID : 103 - Which one among √10 + √4, √11 + √3, √7 + √7 is the smallest number?
Options:
1) √10 + √4
2) √11 + √3
3) √7 + √7
4) All are equal
Correct Answer: √11 + √3
QID : 104 - What is the smallest value that must be added to 709, so that the resultant is a perfect square?
Options:
1) 8
2) 12
3) 20
4) 32
Correct Answer: 20
QID : 105 - If 34N is divisible by 11, then what is the value of N?
Options:
1) 1
2) 3
3) 4
4) 9
Correct Answer: 1
QID : 106 - P is four times as efficient as Q. P can complete a work in 45 days less than Q. If both of them work together, then in how many days the work will be completed?
Options:
1) 10
2) 12
3) 15
4) 30
Correct Answer: 12
QID : 107 - Two inlet pipes can fill a cistern in 10 and 12 hours respectively and an outlet pipe can empty 80 gallons of water per hour. All the three pipes working together can fill the empty cistern in 20 hours. What is the capacity (in gallons) of the tank?
Options:
1) 360
2) 300
3) 600
4) 900
Correct Answer: 600
QID : 108 - What will be the net discount (in percentage) after two successive discounts of 40% and 20%?
Options:
1) 60
2) 68
3) 52
4) 42
Correct Answer: 52
QID : 109 - An article is sold for Rs 6552 after a discount of 22%. What is the marked price (in Rs) of the article?
Options:
1) 8450
2) 8425
3) 8400
4) 8750
Correct Answer: 8400
QID : 110 - If 2A = 3B and 3B = 2C, then what is A : B : C?
Options:
1) 3 : 2 : 3
2) 2 : 3 : 2
3) 1 : 3 : 1
4) 2 : 3 : 2
Correct Answer: 3 : 2 : 3
QID : 111 - Raman, Manan and Kamal are partners and invest in a business such that Raman invests 2/5th of total and Manan invest 3/8th of the total. What is the ratio of profit of Raman, Manan and Kamal respectively
Options:
1) 16 : 15 : 9
2) 16 : 15 : 31
3) 2 : 3 : 5
4) 15 : 16 : 9
Correct Answer: 16 : 15 : 9
QID : 112 - What is the average of the squares of the first 19 natural numbers?
Options:
1) 124
2) 127.5
3) 130
4) 133.5
Correct Answer: 130
QID : 113 - In a match, average of runs scored by 5 players is 49. If the runs scored by four players are 75, 30, 62 and 21 respectively, then how many runs did the 5th player had scored?
Options:
1) 43
2) 49
3) 57
4) 89
Correct Answer: 57
QID : 114 - A man bought 15 mangoes for a rupee. How many mangoes were sold for a rupee so that there is a loss of 25%?
Options:
1) 10
2) 12
3) 18
4) 20
Correct Answer: 20
QID : 115 - By selling a fan for Rs 1900 a man has a loss of 5%, then at what price (in Rs) should he sell the fan to gain 20%?
Options:
1) 2000
2) 2400
3) 2600
4) 2800
Correct Answer: 2400
QID : 116 - If 40% of a number is 290, then what is the number which is 20% more than the initial number?
Options:
1) 870
2) 725
3) 825
4) 680
Correct Answer: 870
QID : 117 - The price of table depreciates every year by 20%. If the value of the table after 2 years will be Rs 32000, then what is the present price (in Rs) of the table?
Options:
1) 48000
2) 44000
3) 50000
4) 51000
Correct Answer: 50000
QID : 118 -
Options:
1) 28
2) 35
3) 42
4) 64
Correct Answer: 42
QID : 119 - A bus starts running with the initial speed of 33 km/hr and its speed increases every hour by certain amount. If it takes 7 hours to cover a distance of 315 km, then what will be hourly increment (in km/hr) in the speed of the bus?
Options:
1) 1
2) 2
3) 3
4) 4
Correct Answer: 4
QID : 120 - What is the compound interest (in Rs) on Rs 12500 at the rate of 12% per annum compounded yearly for 2 years?
Options:
1) 3000
2) 2980
3) 3050
4) 3180
Correct Answer: 3180
QID : 121 - An amount was lent for two years at the rate of 20% per annum compounding annually. Had the compounding been done half yearly, the interest would have increased by 241. What was the amount (in Rs) lent?
Options:
1) 10000
2) 12000
3) 20000
4) 24000
Correct Answer: 10000
QID : 122 -
What is the ratio of male and female population respectively in 2015?
Options:
1) 12 : 7
2) 5 : 7
3) 7 : 5
4) 5 : 3
Correct Answer: 7 : 5
QID : 123 -
In 2016 male population is how much percent more than the female population?
Options:
1) 25
2) 20
3) 23
4) 28
Correct Answer: 25
QID : 124 -
In 2014 female population is what percent of total population?
Options:
1) 62.96
2) 37.03
3) 20
4) 31.13
Correct Answer: 37.03
QID : 125 -
Female population in 2015 is what percent of female population in 2014?
Options:
1) 25
2) 80
3) 150
4) 125
Correct Answer: 125
QID : 126 - If diagonals of a rhombus are 16 cm and 30 cm. then what is the perimeter (in cm) of the rhombus?
Options:
1) 32
2) 64
3) 34
4) 68
Correct Answer: 68
QID : 127 - The ratio of curved surface area of two cones is 1 : 4 and the ratio of slant height of the two cones is 2 : 1. What is the ratio of the radius of the two cones?
Options:
1) 1 : 2
2) 1 : 4
3) 1 : 8
4) 1 : 1
Correct Answer: 1 : 8
QID : 128 - Radius of hemisphere is twice that of a sphere. What is the ratio of total surface area of hemisphere and sphere?
Options:
1) 3 : 1
2) 12 : 1
3) 4 : 1
4) 6 : 1
Correct Answer: 3 : 1
QID : 129 - A solid cylinder having radius of base as 7 cm and length as 20 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area?
Options:
1) 29.78
2) 25.93
3) 27.62
4) 32.83
Correct Answer: 25.93
QID : 130 - If the perimeter of a rhombus is 80 cm and one of its diagonal is 24 cm, then what is the area (in cm2) of the rhombus?
Options:
1) 218
2) 192
3) 384
4) 768
Correct Answer: 384
QID : 131 - If (p2 + q2)/(r2 + s2) = (pq)/(rs), then what is the value of (p - q)/(p + q) in terms of r and s?
Options:
1) (r + s) /(r - s)
2) (r - s) /(r + s)
3) (r + s) /(rs)
4) (rs) /(r - s)
Correct Answer: (r - s) /(r + s)
QID : 132 - If the expression (px3 - 8x2 - qx + 1) is completely divisible by the expression (3x2 - 4x + 1), then what will be the value of p and q respectively?
Options:
1) (21/4, 15/8)
2) (6, 1)
3) (33/4, 5/4)
4) (1, 6)
Correct Answer: (33/4, 5/4)
QID : 133 - If a = 2017, b = 2016 and c = 2015, then what is the value of a2 + b2 + c2 - ab - bc - ca?
Options:
1) -2
2) 0
3) 3
4) 4
Correct Answer: 3
QID : 134 -
Options:
1) 3
2) 7
3) 11
4) 18
Correct Answer: 18
Options:
1) 1
2) 3
3) 0
4) 21
Correct Answer: 21
QID : 136 - In ΔPQR, ∠P : ∠Q : ∠R = 2 : 2 : 5. A line parallel to QR is drawn which touches PQ and PR at A and B respectively. What is the value of ∠PBA - ∠PAB?
Options:
1) 60
2) 30
3) 24
4) 36
Correct Answer: 60
Options:
1) 5
2) 10
3) 15
4) 20
Correct Answer: 10
QID : 138 - If ΔDEF is right angled at E, DE = 15 and ∠DFE = 60°, then what is the value of EF?
Options:
1) 5√3
2) 5
3) 15
4) 30
Correct Answer: 5√3
QID : 139 -
Options:
1) 80
2) 64
3) 124
4) 72
Correct Answer: 64
Options:
1) 3√2
2) 4√3
3) 3√5
4) 3√3
Correct Answer: 3√5
QID : 141 - If sec θ + cosec θ = √2 sec(90 - θ) then what is the value of cot θ?
Options:
1) √2
2) 2
3) √2 - 1
4) √2 + 1
Correct Answer: √2 + 1
Options:
1) cosec θ + tan θ
2) sin θ + cos θ
3) (1 - cos θ) / (1 + cos θ)
4) (1 - sin θ) / (1 + sin θ)
Correct Answer: (1 - cos θ) / (1 + cos θ)
QID : 143 - If sin (θ + 23°) = cos 58°, then what is the value of cos 5θ?
Options:
1) 1/2
2) 1/√2
3) √3/2
4) 0
Correct Answer: 1/√2
QID : 144 -
Options:
1) √3
2) 1/2
3) √3/2
4) 5
Correct Answer: 5
Options:
1) 0
2) 1/2
3) 1/√2
4) 1
Correct Answer: 1
QID : 146 -
How much does he spend (in Rs) on Rent?
Options:
1) 2080
2) 2275
3) 2470
4) 2840
Correct Answer: 2080
QID : 147 -
How much more does he spend (in Rs) on the Saving and Fuel taken together than Transport?
Options:
1) 5850
2) 6060
3) 7020
4) 8420
Correct Answer: 7020
QID : 148 -
Had his income been Rs 22,000, how much less he would have spent on Miscellaneous (in Rs)?
Options:
1) 510
2) 680
3) 765
4) 935
Correct Answer: 680
QID : 149 -
If he invests 65% of his savings on purchasing gold, then how much amount (in Rs) does he spend on gold?
Options:
1) 3312
2) 4124
3) 3522
4) 3718
Correct Answer: 3718
QID : 150 -
What will be the approximate difference (in Rs) between the average expenditure on Saving, Rent and Fuel and average expenditure on Food, Transport and Savings?
Options:
1) 433
2) 444
3) 417
4) 467
Correct Answer: 433
