SSC CPO Exam Paper - 2017 "held on 01 July 2017" Shift-2

(Quantitative Aptitude)

301 - What is the value of 2² + 6² + 10² + 14² - 1² - 5² - 9² - 13²?

Options:

1) 0
2) 15
3) 30
4) 60

Correct Answer: 60

302 - The sum of three consecutive natural numbers is always divisible by ____.

Options:

1) 3
2) 9
3) 15
4) 21

Correct Answer: 3

303 - A boy added all natural numbers from 1 to 20, however he missed one number due to which the sum becomes 190. What is the number which the boy missed?

Options:

1) 5
2) 10
3) 15
4) 20

Correct Answer: 20

304 - If 142N is divisible by 12, then what is the value of N?

Options:

1) 2
2) 4
3) 6
4) 8

Correct Answer: 8

305 - 3/4 part of a tank is filled with oil. After taking out 60 litres of oil the tank is 2/3 part full. What is the capacity (in litres) of the tank?

Options:

1) 240
2) 360
3) 600
4) 720

Correct Answer: 720

306 - Raman is three times as efficient as Manan. Raman can complete a work in 60 days less than Manan. In how many days the work would be complete if both of them work together?

Options:

1) 15
2) 17.5
3) 22.5
4) 27.5

Correct Answer: 22.5

Two inlet pipes can fill a cistern in 5 and 6 hours respectively and an outlet pipe can empty 24 gallons of water per hour. All the three pipes working together can fill the empty cistern in 10 hours. What is the capacity (in gallons) of the tank?

Options:

1) 90
2) 180
3) 60
4) 120

Correct Answer: 90

308 - After giving a discount of 44% a cycle is sold for Rs 17920. What is the marked price (in Rs) of the cycle?

Options:

1) 28000
2) 31500
3) 32000
4) 35000

Correct Answer: 32000

309 - The marked price of an article is 80% more than its cost price. What should be the discount (in %) offered by the shopkeeper so that he earns a profit of 44%?

Options:

1) 10
2) 20
3) 30
4) 44

Correct Answer: 20

310 - The ratio of the speed of A, B and C is 2 : 3 : 6 respectively. What is the ratio of the time taken by A, B and C respectively to cover the same distance?

Options:

1) 2 : 3 : 6
2) 6 : 3 : 2
3) 3 : 2 : 1
4) 1 : 2 : 3

Correct Answer: 3 : 2 : 1

311 - If x - y : y - z : z - k = 2 : 3 : 5, then what is the value of z : (x + k)?

Options:

1) 1 : 2
2) 2 : 1
3) 1 : 3
4) 1 : 4

Correct Answer: 1 : 2

312 - The average of 19 results is 111. If the average of first 10 results is 82 and that of the last 10 results is 129, then what will be the 10 result?

Options:

1) 0
2) 1
3) 82
4) 111

Correct Answer: 1

313 - Eleven friends spent Rs 19 each on a tour and the twelfth friend spent Rs 11 less than the average expenditure of all twelve of them. What is the total money (in Rs) spent by them?

Options:

1) 216
2) 227
3) 236
4) 247

Correct Answer: 216

314 - Atul sells 12 pencils at Rs 400. If there is a loss equal to the cost price of 4 pencil, then what is the cost price (in Rs) of a pencil?

Options:

1) 30
2) 45
3) 50
4) 60

Correct Answer: 50

315 - A trader gets 25% profit by selling an article. If he buys at half the rate and sells at the same selling price as before, then what will be his percentage profit?

Options:

1) 50
2) 100
3) 125
4) 150

Correct Answer: 150

316 - A is 16.66% less than B. If value of A is 500, then what is the value of B?

Options:

1) 583.33
2) 566.66
3) 600
4) 620

Correct Answer: 600

317 - If the side of a cube is increased by 20%, then what will be the percentage increase in the volume of cube?

Options:

1) 60
2) 66.6
3) 72.8
4) 68.5

Correct Answer: 72.8

318 - Two trains are moving in the same direction at speed of 60 km/hr and 70 km/hr. The time taken by faster train to cross a man sitting in the slower train is 2 minutes 42 seconds. What will be the length (in metres) of the faster train?

Options:

1) 220
2) 330
3) 450
4) 540

Correct Answer: 450

319 - Two people A and B are at a distance of 110 km from each other at 10:30 AM. After 30 mins, A starts moving towards B at a speed of 20 km/hr while at 12 PM. B starts moving away from A at a speed of 15 km/hr. At what time (in AM) will they meet on the next day?

Options:

1) 6:00
2) 8:00
3) 4:00
4) 3:00

Correct Answer: 6:00

320 - A certain sum becomes 4 times in 7 years, at simple interest, then in how many years it will become 16 times?

Options:

1) 16
2) 21
3) 28
4) 35

Correct Answer: 35

321 - What will be the amount on Rs 24000 at the rate of 35% per annum compounded yearly for 2 years?

Options:

1) 43740
2) 49870
3) 51785
4) 40890

Correct Answer: 43740

322. The line chart given below represents the revenue (in Rs. Crores) of a company for 6 years.

What is the average revenue (in Rs crores) for given 6 years?

Options:

1) 423.31
2) 492.21
3) 468.33
4) 462.22

Correct Answer: 468.33

323.

What is the percentage decrease in the revenue from year 2011 to 2012?

Options:

1) 18
2) 44
3) 22
4) 36

Correct Answer: 44

324.

Revenue in year 2015 is what percent of revenue in year 2014?

Options:

1) 61.53
2) 62.5
3) 38.46
4) 55.14

Correct Answer: 61.53

325.

Total revenue in year 2013, 2014 and 2015 is what percent of total revenue in given 6 years?

Options:

1) 47.34
2) 59.61
3) 49.33
4) 54.09

Correct Answer: 54.09

326 - What is the length of the longest rod that can be placed in a room which is 6 metres long, 8 metres broad and 20 metres high?

Options:

1) 15√5
2) 20
3) 15
4) 10√5

Correct Answer: 10√5

327 - What is the curved surface area (in cm2) of a cylinder having radius of base as 21 cm and height as 30 cm?

Options:

1) 3740
2) 3850
3) 1980
4) 3960

Correct Answer: 3960

328 - Parallel sides of a trapezium are 14 cm and 35 cm and the area is 1176 cm2. What is the value of the distance (in cm) between parallel sides?

Options:

1) 72
2) 96
3) 24
4) 48

Correct Answer: 48

329 - A cylindrical well of height 80 metres and radius 7 metres is dug in a field 28 metres long and 22 metres wide. The earth taken out is spread evenly on the field. What is the increase (in metres) in the level of the field?

Options:

1) 13.33
2) 26.66
3) 18.17
4) 28.17

Correct Answer: 26.66

330 - Two identical circles each of radius 4 cm intersect such that the circumference of each one passes through the centre of the other. What is the area (in cm2) of the intersecting region?

Options:

1) √66
2) 8
3) √62
4) 6

Correct Answer: 8

332 - If x + y = 7, then what is the value of x³ + y³ + 21xy?

Options:

1) 343
2) 49
3) 294
4) 288

Correct Answer: 343

333 - If 2a - (2/a) + 4 = 0, then what is the value of a³ - (1/a³) + 14?

Options:

1) -14
2) -12
3) 0
4) 14

Correct Answer: 0

334 - If α and β are the roots of the equation x² - x + 3 = 0, then what is the value of α⁴ + β⁴?

Options:

1) 7
2) 9
3) 11
4) 13

Correct Answer: 7

335.

Options:

1) 6
2) 0
3) 1
4) 3

Correct Answer: 1

336 - PQR is an isosceles triangle with such that PQ = PR = 15 cm and QR = 24 cm. PS is a perpendicular bisector of the base QR. What is the length (in cm) of PS?

Options:

1) 18
2) 6
3) 12
4) 9

Correct Answer: 9

337 - ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If ∠CAB = 48°, then what is the value (in degrees) of ∠ADC?

Options:

1) 52
2) 77
3) 138
4) 142

Correct Answer: 138

338 - Two tangents are drawn from a point P to a circle at Q and R. If O is the centre of the circle and ∠QOP = 40°, then what is the value (in degrees) of ∠QPR?

Options:

1) 60
2) 80
3) 90
4) 100

Correct Answer: 100

339.

Options:

1) 30
2) 60
3) 45
4) 90

Correct Answer: 60

340 - ABC is a triangle which is right angled at A and a perpendicular AD is drawn on the hypotenuse BC. If BC = 8 and AD = 3, then what is the value of AB × AC?

Options:

1) 12
2) 24
3) 32
4) 36

Correct Answer: 24

341.

Options:

1) 1 - cos2 θ
2) 2 sin θ
3) cosec θ
4) sec2 θ

Correct Answer: cosec θ

342 - If x and y are positive acute angles such that sin(4x - y) = 1 and cos(2x + y) = 1/2, then what is the value of cot (x + 2y)?

Options:

1) √3
2) 1/√3
3) 1
4) Cannot be determined

Correct Answer: 1

343 - 80 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. What is the height (in metres) of the tower?

Options:

1) 40
2) 60√3
3) 80√3
4) 40/√3

Correct Answer: 80√3

344 - The respective ratio between the height of tower and the point at some distance from its foot is 57 : 19√3. What is the angle (in degrees) of elevation of the top of the tower?

Options:

1) 30
2) 45
3) 60
4) 75

Correct Answer: 60

345.

Options:

1) m
2) 2m
3) mn
4) 2n

Correct Answer: m

If the total expenditure incurred is Rs 60000, then what is the expenditure on seat?

Options:

1) 12000
2) 3000
3) 6000
4) 2000

Correct Answer: 2000

347.

If the expenditure incurred on tyres is Rs 15000, then what is the expenditure incurred on painting?

Options:

1) 30000
2) 8000
3) 7500
4) 6000

Correct Answer: 7500

348.

Expenditure incurred on others is how much percent more than the expenditure incurred on paint?

Options:

1) 24
2) 40
3) 66.66
4) 57.33

Correct Answer: 66.66

349.

The expenditure incurred on seat is how much percent less than the expenditure incurred on tyres?

Options:

1) 83.33
2) 66.66
3) 78.22
4) 85.33

Correct Answer: 83.33

350.

If the expenditure on tyres is Rs 10000, then the expenditure on paint is how much more (in Rs) more than the expenditure on seat?

Options:

1) 2733.33
2) 3333.33
3) 3122.22
4) 3555.55

Correct Answer: 3333.33

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