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SSC CPO Exam Paper - 2017 "held on 05 July 2017" Shift-2

(Quantitative Aptitude)

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QID : 301 - If N = (√8 + √6)/(√8 - √6), then what is the value of N - (1/N)?

Options:

1) 8√3
2) 14
3) 7
4) 0

Correct Answer: 8√3

QID : 303 - What is the value of positive square root of 14 + 6√5?

Options:

1) 3 + √5
2) 3 - √5
3) 5 + √3
4) 5 - √3

Correct Answer: 3 + √5

QID : 304 -

Options:

1) 1.2
2) 0.8
3) 1
4) 1.4

Correct Answer: 1

QID : 305 - A boy added all natural numbers from 1 to 10, however he added one number twice due to which the sum becomes 58. What is the number which he added twice?

Options:

1) 3
2) 4
3) 7
4) 8

Correct Answer: 3

QID : 306 - Ram is five times as efficient as Rohit. Ram can complete a work in 60 days less than Rohit. If both of them work together then in how many days the work would be completed ?

Options:

1) 10
2) 12.5
3) 15
4) 20

Correct Answer: 12.5

QID : 307 - A and B together can complete a work in 20 days. They started together but after 4 days A left the work. The remaining work was completed by B alone in 24 more days. In how many days can A complete the entire work alone?

Options:

1) 75
2) 25
3) 45
4) 60

Correct Answer: 60

QID : 308 - What will be the net discount (in percentage) after two successive discounts of 20% and 10%?

Options:

1) 28
2) 30
3) 32
4) 42

Correct Answer: 28

QID : 309 - An article is sold for Rs 4080 after a discount of 15%. What is the marked price (in Rs) of the article?

Options:

1) 4600
2) 4800
3) 4950
4) 5150

Correct Answer: 4800

QID : 310 - A, B and C are partners and invest in a business. A invests 1/5th of total and B invests 1/4th of the total. What is the ratio of profit of A, B and C respectively?

Options:

1) 5 : 4 : 9
2) 5 : 4 : 1
3) 4 : 5 : 1
4) 4 : 5 : 11

Correct Answer: 4 : 5 : 11

QID : 311 - Three bottles of equal capacity contain mixture of milk and water in ratio 2 : 3, 3 : 5 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What is the ratio of milk and water respectively in the large bottle?

Options:

1) 439 : 1080
2) 439 : 641
3) 439 : 360
4) 439 : 79

Correct Answer: 439 : 641

QID : 312 - What is the average of first 17 odd numbers?

Options:

1) 16
2) 17
3) 18
4) 19

Correct Answer: 17

QID : 313 - The average of 4 consecutive even numbers is 51. What is the third number?

Options:

1) 46
2) 52
3) 54
4) 56

Correct Answer: 52

QID : 314 - Rohit buys an old bat for Rs 1230 and spends Rs 180 on its repairs. If he sells it for Rs 1128, then what is his loss percentage?

Options:

1) 12.5
2) 15
3) 20
4) 25

Correct Answer: 20

QID : 315 - A trader sells two articles for Rs 1875 each. If he gains 25% on one and losses 25% on other, then what is the value (in Rs) of the loss?

Options:

1) 150
2) 250
3) 400
4) 500

Correct Answer: 250

QID : 316 - If the price of milk increases from Rs 60/kg to Rs 70/kg, then by what percentage a person should decrease the consumption of milk so that expenditure remains same?

Options:

1) 16.66
2) 14.28
3) 12.33
4) 17.33

Correct Answer: 14.28

QID : 317 - If length of a rectangle is increased by 20% and breadth is increased by 30%, then what will be the percentage increase in the area of rectangle?

Options:

1) 50
2) 46
3) 56
4) 62

Correct Answer: 56

QID : 318 - Two cars are travelling towards each other with speeds of 45 km/hr and 63 km/hr respectively. What is the distance (in kilometres) between the two cars ten second before they collide?

Options:

1) 0.5
2) 0.2
3) 0.3
4) 0.45

Correct Answer: 0.3

QID : 319 - 29 boys are standing in a line such that distance between any two consecutive boys is same. A teacher takes 7 seconds to reach from first boy to 15^thboy. How much more time (in seconds) will he take to reach the 22^nd boy?

Options:

1) 2.5
2) 3
3) 3.5
4) 4

Correct Answer: 3.5

QID : 320 - If a certain sum becomes 2 times in 5 years at compound interest, then in how many years, it will become 8 times?

Options:

1) 10
2) 20
3) 15
4) 30

Correct Answer: 15

QID : 321 - A certain sum becomes Rs 840 in 3 years and Rs 1200 in 7 years at simple interest. What is the value (in Rs.) of principal?

Options:

1) 520
2) 570
3) 620
4) 670

Correct Answer: 570

What is the total number of players playing all three games in 2015?

Options:

1) 950
2) 900
3) 1000
4) 1050

Correct Answer: 1000

QID : 323 -

Number of players playing football in 2016 is how much percent less than the players playing football in 2014?

Options:

1) 14.28
2) 16.66
3) 33.33
4) 8.33

Correct Answer: 16.66

QID : 324 -

Number of players playing hockey in 2015 is what percent of total players playing all the three games in 2015?

Options:

1) 25
2) 33.33
3) 22
4) 28

Correct Answer: 25

QID : 325 -

Total number of players in 2015 is what percent of total number of players in 2016?

Options:

1) 75
2) 112.5
3) 141.11
4) 133.33

Correct Answer: 133.33

QID : 326 - If diagonals of a rhombus are 36 cm and 48 cm, then what is the perimeter (in cm) of the rhombus?

Options:

1) 30
2) 60
3) 120
4) 240

Correct Answer: 120

QID : 327 - Three spherical balls of radius 3 cm, 2 cm and 1 cm are melted to form a new spherical ball. In this process there is a loss of 25% of the material. What is the radius (in cm) of the new ball

Options:

1) 5
2) 3
3) 6
4) 8

Correct Answer: 3

QID : 328 - The perimeter of base of a right circular cone is 88 cm. If the height of the cone is 48 cm, then what is the curved surface area (in cm²) of the cone?

Options:

1) 550
2) 1100
3) 2200
4) 2700

Correct Answer: 2200

QID : 329 - The radius of a wheel is 14 cm. What is the distance (in cm) travelled by the wheel in 15 revolutions?

Options:

1) 440
2) 660
3) 1320
4) 1980

Correct Answer: 1320

QID : 330 - A cuboid of sides 9 cm, 27 cm and 24 cm is melted to form a cube. What is the ratio between the total surface area of the cuboid and that of the cube?

Options:

1) 41 : 35
2) 41 : 36
3) 47 : 38
4) 49 : 36

Correct Answer: 41 : 36

QID : 331 - If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 7, then what is the value of x³ + y³ + z³ - 3xyz?

Options:

1) 49
2) 343
3) 1029
4) 2401

Correct Answer: 343

QID : 332 - If x + (1/x) = 5, then what is the value of x⁶ + (1/x⁶)?

Options:

1) 623
2) 627
3) 12098
4) 12102

Correct Answer: 12098

QID : 333 -

Options:

1) 1
2) 17/16
3) 15/16
4) 51/16

Correct Answer: 17/16

QID : 334 -

Options:

1) 0
2) 1
3) 2
4) -1

Correct Answer: 1

QID : 335 -

QID : 336 - In ∆ABC, ∠A : ∠B : ∠C = 5 : 4 : 1. What is the value (in degrees) of ∠B + ∠C?

Options:

1) 50
2) 70
3) 90
4) 100

Correct Answer: 90

QID : 337 - If O is the circum-center in ∆PQR and ∠QOR = 40°, then what is the value (in degrees) of ∠QPR?

Options:

1) 40
2) 60
3) 80
4) 20

Correct Answer: 20

QID : 338 - In ΔDEF, ∠EFD = 90°, DF = 7 cm and EF = 24. What is the radius (in cm) of the circum-circle of ΔDEF?

Options:

1) 26
2) 12.5
3) 13
4) 25

Correct Answer: 12.5

QID : 339 - In ΔPQR, PQ = PR and the value of ∠QPR is equal to half of external angle at R. What is the value (in degrees) of ∠QPR?

Options:

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

Correct Answer: 60

QID : 340 -

Options:

1) 6
2) 8
3) 9
4) 10

Correct Answer: 9

QID : 341 -

QID : 342 -

QID : 343 -

Options:

1) 2/3
2) 3/4
3) 5/6
4) 6/7

Correct Answer: 6/7

QID : 344 -

Options:

1) 0
2) 30
3) 45
4) 60

Correct Answer: 60

QID : 345 - If sec² θ - sec θ = 1, then what is the value of (tan¹² θ - 3 tan¹⁰ θ + 3 tan⁸ θ - tan⁶ θ)?

Options:

1) -1
2) 0
3) 1
4) 2

Correct Answer: 1

QID : 346 -

How much they spend (in Rs) on clothes?

Options:

1) 150000
2) 180000
3) 200000
4) 240000

Correct Answer: 150000

QID : 347 -

Their expenditure on rent is what percentage of their expenditure on Education?

Options:

1) 33.33
2) 50
3) 100
4) 90

Correct Answer: 100

QID : 348 -

What is the total expenditure (in Rs) on Rent, Food and Transport together?

Options:

1) 450000
2) 390000
3) 570000
4) 500000

Correct Answer: 570000

QID : 349 -

What will be the average (in Rs) of total income spent by the family on Education, Savings and Rent?

Options:

1) 220000
2) 215000
3) 205000
4) 210000

Correct Answer: 210000

QID : 350 -

Income of the family in the year 2015 was 20% less than that in the year 2016 and the ratio of their savings in 2015 and 2016 is 2 : 5. Approximately what percentage they saved in the year 2015?

Options:

1) 6.17
2) 4.166
3) 3.24
4) 5.66

Correct Answer: 4.166

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