# SSC CPO Exam Paper - 2017 "held on 03 July 2017" Shift-2 (Quantitative Aptitude)

## SSC CPO Exam Paper - 2017 "held on 03 July 2017" Shift-2

## (Quantitative Aptitude)

**QID : 301 -**

**QID : 302 -**

**Options:**

1) 18/5

2) 4/3

3) 7/3

4) 33/10

**Correct Answer:**33/10

**QID : 303 -**What is the value of (203 + 107)

^{2}- (203 - 107)

^{2}?

**Options:**

1) 85886

2) 86884

3) 43442

4) 87884

**Correct Answer:**86884

**QID : 304 -**If 46N is divisible by 18, then what is the value of N?

**Options:**

1) 2

2) 4

3) 7

4) 8

**Correct Answer:**8

**QID : 305**- Which is the smallest four digit number that is a perfect square?

**Options:**

1) 1024

2) 1048

3) 1021

4) 1089

**Correct Answer:**1024

**QID : 306 -**Aman and Raman together complete a piece of work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days.All of the three working together can complete the work in how many days?

**Options:**

1) 12

2) 18

3) 24

4) 28

**Correct Answer:**24

**QID : 307**- Two pipes A and B can fill a tank in 20 hours and 24 hours respectively. If the two pipes opened at 5 in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?

**Options:**

1) 3 pm

2) 2 pm

3) 1 pm

4) 11 am

**Correct Answer:**3 pm

**QID : 308 -**The marked price of a cycle is Rs 36800. If 24% discount is given, then what will be the selling price (in Rs) of the cycle?

**Options:**

1) 26168

2) 27168

3) 27968

4) 28142

**Correct Answer:**27968

**QID : 309 -**An article having marked price Rs 1800 is sold for Rs 1476. What is the discount percentage?

**Options:**

1) 14

2) 15

3) 16

4) 18

**Correct Answer:**18

**QID : 310 -**The ratio of two numbers is 5 : 11. If both numbers are increased by 10, the ratio becomes 7 : 13. What is the sum of the two numbers?

**Options:**

1) 80

2) 32

3) 48

4) 160

**Correct Answer:**80

**QID : 311 -**If 3P = 5Q = 15R, then what is P : Q : R?

**Options:**

1) 5 : 3 : 4

2) 5 : 3 : 1

3) 3 : 5 : 15

4) 15 : 5 : 3

**Correct Answer:**5 : 3 : 1

**QID : 312 -**What is the average of the cubes of the first 13 natural numbers?

**Options:**

1) 196

2) 364

3) 485

4) 637

**Correct Answer:**637

**QID : 313 -**The average of 50 results was calculated as 30 but later it was found that while calculating, 73 was taken as 33 by mistake, then what will be the correct average?

**Options:**

1) 29.2

2) 30.8

3) 31.6

4) 34

**Correct Answer:**30.8

**QID : 314 -**

**Options:**

1) 3000

2) 3300

3) 3600

4) 4000

**Correct Answer:**4000

**QID : 315 -**A trader sells two articles for Rs 14784 each. If he gains 12% on one and losses 12% on other, then what is the value (in Rs) of the loss?

**Options:**

1) 300

2) 368

3) 432

4) 498

**Correct Answer:**432

**QID : 316 -**If the length of a rectangle is decreased by 20% and breadth is decreased by 40%, then what will be the percentage decrease in the area of the rectangle?

**Options:**

1) 48

2) 52

3) 60

4) 40

**Correct Answer:**52

**QID : 317 -**If the radius of sphere is decreased by 10%, then by what percent volume of sphere will decrease?

**Options:**

1) 30

2) 27.1

3) 29.3

4) 28.5

**Correct Answer:**27.1

**QID : 318 -**45 pillars are standing in a line such that distance between any two consecutive pillars is same. A car travelling with uniform speed of 72 km/h takes 18 seconds to reach from 1st pole to 10th pole. What is the distance between 10th and 31st pole (in metres)?

**Options:**

1) 800

2) 820

3) 840

4) 910

**Correct Answer:**840

**QID : 319 -**Two trains are moving in the same direction at speed of 54 km/h and 92 km/h, their lengths are 400 m and 360 m respectively. What is the time taken (in seconds) by faster train to cross the slower train?

**Options:**

1) 60

2) 72

3) 81

4) 90

**Correct Answer**: 72

**QID : 320 -**What is the compound interest (in Rs) on Rs 2400 at the rate of 20% per annum compounded yearly for 2 years?

**Options:**

1) 960

2) 1024

3) 1056

4) 1120

**Correct Answer:**1056

**QID : 321 -**An amount was lent for one year at the rate of 10% per annum compounding annually had the compounding been done half yearly, the interest would have increased by 80. What was the amount (in Rs) lent?

**Options:**

1) 16000

2) 32000

3) 48000

4) 64000

**Correct Answer:**32000

**QID : 322 -**

What is the difference between sales of shirts for months January and April?

**Options:**

1) 2700

2) 1500

3) 2000

4) 2200

**Correct Answer:**1500

**QID : 323 -**

What is the percentage increase in the sales of the trousers from January to February?

**Options:**

1) 25

2) 20

3) 10

4) 28

**Correct Answer:**25

**QID : 324 -**

In March sale of trousers is what percent of sale of shirts?

**Options:**

1) 83.33

2) 54.54

3) 125

4) 183.33

**Correct Answer:**183.33

**QID : 325 -**

Total sale of shirts for five months is how much percent more than the total sale of trousers for five months?

**Options:**

1) 30.84

2) 38.46

3) 44.61

4) 49.94

**Correct Answer:**44.61

**QID : 326 -**The ratio of curved surface area of two cones is 1 : 9 and the ratio of slant height of the two cones is 3 : 1. What is the ratio of the radius of the two cones?

**Options:**

1) 1 : 3

2) 1 : 9

3) 1 : 27

4) 1 : 1

**Correct Answer:**1 : 27

**QID : 327 -**If the area of a square is 24, then what is the perimeter of the square?

**Options:**

1) 2√6

2) 4√6

3) 16√6

4) 8√6

**Correct Answer:**8√6

**QID : 328 -**What is the total surface area (in cm

^{2}) of a cylinder having radius of base as 7 cm and height as 15 cm?

**Options:**

1) 814

2) 616

3) 968

4) 780

**Correct Answer:**968

**QID : 329**- A cylindrical well of height 40 metres and radius 7 metres is dug in a field 56 metres long and 11 metres wide. The earth taken out is spread evenly on the field. What is the increase in the level of the field?

**Options:**

1) 12.5

2) 10.66

3) 11.5

4) 13.33

**Correct Answer:**13.33

**QID : 330 -**A cuboid of sides 5 cm, 10 cm and 20 cm are melted to form a new cube. What is the ratio between the total surface area of the cuboid and that of the cube?

**Options:**

1) 6 : 5

2) 7 : 6

3) 11 : 10

4) 9 : 7

**Correct Answer:**7 : 6

**QID : 331 -**

**Options:**

1) 0

2) 1

3) (xq - xp)/(xq + xp)

4) (xq + xp)/(xq - xp)

**Correct Answer:**1

**QID : 332 -**

**Options:**

1) 3

2) 7

3) 9

4) 11

**Correct Answer:**3

**QID : 333 -**If a + b + c = - 11, then what is the value of (a + 4)

^{3}+ (b + 5)

^{3}+ (c + 2)

^{3}- 3(a + 4)(b + 5)(c + 2)?

**Options:**

1) -1331

2) -121

3) 0

4) 1331

**Correct Answer:**0

**QID : 334 -**

**Options:**

1) 0

2) 1

3) 3

4) 9

**Correct Answer:**3

**QID : 335 -**If x + (1/x) = 3√2, then what is the value of x

^{5}+ (1/x

^{5})?

**Options:**

1) 178√3

2) 789√2

3) 1581√2

4) 717√2

**Correct Answer:**717√2

**QID : 336**- In ΔPQR, a line parallel to side QR cuts the side PQ and PR at points M and N respectively and point M divide PQ in the ratio of 1 : 2. If area of ΔPQR is 360 cm2, then what is the area (in cm2) of quadrilateral MNRQ?

**Options:**

1) 160

2) 320

3) 120

4) 96

**Correct Answer:**320

**QID : 337 -**ABC is an isosceles triangle such that AB = AC = 30 cm and BC = 48 cm. AD is a median to base BC. What is the length (in cm) of AD?

**Options:**

1) 18

2) 20

3) 24

4) 32

**Correct Answer:**18

**QID : 338 -**In ΔABC, ∠C = 54°, the perpendicular bisector of AB at D meets BC at E. If ∠EAC = 42°, then what is the value (in degrees) of ∠ABC?

**Options:**

1) 25

2) 42

3) 50

4) 60

**Correct Answer:**42

**QID : 339 -**In an isosceles triangle DEF, ∠D = 110°. If I is the incentre of the triangle, then what is the value (in degrees) of ∠EIF?

**Options:**

1) 110

2) 130

3) 145

4) 155

**Correct Answer:**145

**QID : 340 -**

**Options:**

1) 100

2) 75

3) 130

4) 150

**Correct Answer:**130

**QID : 341 -**If 2cos

^{2}θ - 1 = 0 and θ is acute, then what is the value of (cot

^{2}θ - tan

^{2}θ)?

**Options:**

1) 0

2) 2

3) 10/3

4) 1

**Correct Answer:**0

**QID : 342 -**

**Options:**

1) 0

2) 1

3) 2

4) 4

**Correct Answer:**2

**QID : 343 -**

**QID : 344 -**

**Options:**

1) 45°

2) 90°

3) 100°

4) 120°

**Correct Answer:**100°

**QID : 345 -**

**Options:**

1) 3

2) 4

3) 5

4) 7

**Correct Answer:**3

**QID : 346 -**

If the total expenditure is Rs 60000, then what is the expenditure (in Rs) on the Printing?

**Options:**

1) 18400

2) 14800

3) 13400

4) 16200

**Correct Answer:**16200

**QID : 347 -**

What is the central angle (in degrees) of the sector made by the expenditure on Paper?

**Options:**

1) 25

2) 75

3) 90

4) 120

**Correct Answer:**90

**QID : 348 -**

The expenditure on Binding is how much percent more than the expenditure on Paper?

**Options:**

1) 32

2) 24.24

3) 28.18

4) 34

**Correct Answer:**32

**QID : 349 -**

If expenditure on Paper is Rs 20000, then what is the expenditure (in Rs) on Binding?

**Options:**

1) 24600

2) 26400

3) 28000

4) 22800

**Correct Answer:**26400

**QID : 350 -**

In Others there are only two types of expenditures viz. Marketing and Distribution in ratio 3 : 2 respectively. What will be the central angle (in degrees) made by the sector of expenditure on Marketing?

**Options:**

1) 21.6

2) 32.4

3) 27

4) 36