# SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-2 (Quantitative Aptitude)

## SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-2

## (Quantitative Aptitude)

**QID : 301 -** If P = (√7 - √6)/(√7 + √6), then what is the value of P + (1/P)?

**Options:**

1) 12

2) 13

3) 24

4) 26**Correct Answer:** 26**QID : 302 **- Which value among 3^{200}, 2^{300} and 7^{100} is the largest?

**Options:**

1) 3200

2) 2300

3) 7100

4) All are equal**Correct Answer:** 3200**QID : 303 **- What is the value of 3^{2} + 7^{2} + 11^{2 }+ 13^{2} + 17^{2} - 1^{2} - 5^{2} - 9^{2} - 11^{2} - 15^{2}?

**Options:**

1) 5

2) 72

3) 92

4) 184**Correct Answer: **184**QID : 304 -**

**Options:**

1) 0.3

2) 0.4

3) 0.7

4) 1.1**Correct Answer:** 0.3**QID : 305 -** How many positive factors of 40 are there?

**Options:**

1) 3

2) 4

3) 6

4) 8**Correct Answer:** 8**QID : 306** - A is 20% more efficient than B. If B alone can complete a piece of work in 12 days, then A alone can complete the same work in how many days?

**Options:**

1) 10

2) 12

3) 14

4) 16**Correct Answer:** 10**QID : 307 **- A and B together can complete a work in 10 days. They started together but A left after 2 days and the remaining work was completed by B in 12 days. In how many days can A complete the entire work while working alone?

**Options:**

1) 15

2) 20

3) 30

4) 45**Correct Answer: **30**QID : 308 **- What will be the net discount (in percentage) after two successive discounts of 50% and 50%?

**Options:**

1) 85

2) 75

3) 100

4) 95**Correct Answer: **75**QID : 309 **- An article is sold for Rs 5330 after a discount of 18%. What is the marked price (in Rs) of the article?

**Options:**

1) 6250

2) 6450

3) 6800

4) 6500**Correct Answer: **6500**QID : 310 **- Raman, Rohit and Raja are partners and invest in a business. Raman invests 1/4th of total and Rohit invest 1/3th of the total. What is the ratio of profit of Raman, Rohit and Raja respectively?

**Options:**

1) 4 : 3 : 1

2) 3 : 4 : 4

3) 3 : 4 : 5

4) 4 : 3 : 5**Correct Answer: **3 : 4 : 5**QID : 311** - If a - b : b - c : c - d = 1 : 2 : 3, then what is the value of (a + d) : c?

**Options:**

1) 1 : 2

2) 2 : 1

3) 4 : 1

4) 3 : 1**Correct Answer**: 2 : 1**QID : 312 - **The average age of Rustam and Preetam is 39 years. The average age of Preetam and Geetam is 28 years. The average age of Rustam and Geetam is 34 years. What will be the age (in years) of the youngest of the three after 10 years?

**Options:**

1) 13

2) 23

3) 33

4) 43**Correct Answer:** 33**QID : 313 -** The average age of 6 members of a family is 25 years. If the youngest member of the family is 15 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

**Options:**

1) 9

2) 12

3) 18

4) 24**Correct Answer: **12**QID : 314 -** On an article the profit is 230% of the cost price. If the cost price increases by 50% but the selling price remains constant, then what is the new profit percentage?

**Options:**

1) 54.54

2) 80

3) 120

4) 150**Correct Answer:** 120**QID : 315 -** A trader buys two articles for Rs 4000 each. While selling if he gains 12.5% on one and losses 20% on the other, then what will be the overall loss percentage?

**Options:**

1) 2.5

2) 3.75

3) 5

4) 5.25**Correct Answer:** 3.75**QID : 316 **- X is 30% more than Y and 25% less than Z. If value of Y is Rs 300, then what is the value (in Rs) of Z ?

Options:

1) 390

2) 400

3) 470

4) 520**Correct Answer:** 520**QID : 317 **- The price of motor cycle depreciates every year by 10%. If the value of the motor cycle after 3 years will be Rs 36450, then what is the present value (in Rs) of the motor cycle?

**Options:**

1) 45000

2) 50000

3) 48000

4) 51000**Correct Answer:** 50000**QID : 318 -** Two boat are travelling with speed of 36 km/hr and 54 km/hr respectively towards each other. What is the distance (in metres) between the two boats one second before they collide?

**Options:**

1) 10

2) 15

3) 25

4) 5**Correct Answer:** 25**QID : 319 - **A car left 3 minutes early than the scheduled time and in order to reach the destination 126 km away in time, it has to slow its speed by 6 km/h from the usual. What is the usual speed (in km/hr) of the car?

**Options:**

1) 56

2) 63

3) 94.5

4) 126**Correct Answer: **126**QID : 320 **- If a certain sum becomes 3 times in 6 years at compound interest, then in how many years, it will become 81 times?

**Options:**

1) 81

2) 162

3) 27

4) 24**Correct Answer: **24**QID : 321 -** What is the simple interest on Rs 5400 in 5 years at the rate of 12% per annum?

**Options:**

1) 2700

2) 2950

3) 3120

4) 3240**Correct Answer:** 3240**QID : 322 -**

What is the total number of boys using the three apps in month of March?

**Options:**

1) 1420

2) 1480

3) 1450

4) 1500**Correct Answer: **1450**QID : 323 -**

Number of boys using Whatsapp in February is how much percent more than the number of boys using Facebook in February?

**Options:**

1) 50

2) 33.33

3) 66.66

4) 44.22**Correct Answer:** 50**QID : 324 -**

What is the percentage decrese in number of boys using Facebook from January to February?

**Options:**

1) 26.66

2) 20

3) 21.33

4) 16.66**Correct Answer: **16.66**QID : 325 -**

Number of boys using Whatsapp in March is what percent of number of boys using Facebook in February?

**Options:**

1) 126.47

2) 136

3) 128

4) 131.3**Correct Answer:** 136**QID : 326 - **The perimeter of base of a right circular cone is 132 cm. If the height of the cone is 72 cm, then what is the total surface area (in cm2) of the cone?

**Options:**

1) 6600

2) 6336

3) 4224

4) 5784**Correct Answer: **6336**QID : 327 -** A solid metallic sphere of radius 14 cm is melted and recast into a cone with diameter of the base as 14 cm. What is the height (in cm) of the cone?

**Options:**

1) 236

2) 64

3) 112

4) 224**Correct Answer:** 224**QID : 328 **- The radius of a wheel is 21 cm what is the distance (in cm) travelled by the wheel in 10 revolutions?

**Options:**

1) 660

2) 1320

3) 1980

4) 2640**Correct Answer:** 1320**QID : 329 - **Three circles of radius 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?

**Options:**

1) 441√3 - 693

2) 882√3 - 693

3) 882√3 - 462

4) 441√3 - 462**Correct Answer: **441√3 - 693**QID : 330 -** If the perimeter of a square is 80 cm, then what is the diagonal of the square (in cm)?

Options:

1) 20√2

2) 40√2

3) 80√2

4) 20**Correct Answer:** 20√2**QID :** 331 - If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 11, then what is the value of x^{3} + y^{3} + z^{3} - 3xyz?

**Options:**

1) 1331

2) 2662

3) 3993

4) 14641**Correct Answer:** 1331**QID : 332 -****Options:**

1) 1

2) x

3) x + 1

4) 1/(x - 1)**Correct Answer:** x + 1**QID : 333 -**

**Options:**

1) -4

2) 0

3) 3

4) 16**Correct Answer: **-4**QID : 334 -****Options:**

1) 3

2) 7

3) 9

4) 11**Correct Answer:** 7**QID : 335 -**

**Options:**

1) 2

2) 2√2

3) √5

4) √3**Correct Answer: **2√2**QID : 336 - I**n ΔABC, ∠BCA = 90°, AC = 24 cm and BC = 10 cm. What is the radius (in cm) of the circum-circle of ΔABC?

**Options**:

1) 12.5

2) 13

3) 25

4) 26**Correct Answer:** 13**QID : 337 -** A chord of length 7 cm subtends an angle of 60° at the centre of a circle. What is the radius (in cm) of the circle?

**Options:**

1) 7√2

2) 7√3

3) 7

4) 14**Correct Answer:** 7**QID : 338 **- If ΔPQR is right angled at Q, PQ = 12 and ∠PRQ = 30°, then what is the value of QR?

**Options:**

1) 12√3

2) 12√2

3) 12

4) 24**Correct Answer: **12√3**QID : 339 -****Options:**

1) 108

2) 124

3) 136

4) 144**Correct Answer:** 144**QID : 340 -****Options:**

1) 4

2) 6

3) 2

4) 8**Correct Answer**: 4**QID : 341 **-If 4sin^{2} θ - 3 = 0 and θ is acute, then what is the value of (cot^{2} θ + tan^{2} θ)?

**Options:**

1) 2

2) 0

3) 10/3

4) 6**Correct Answer**: 10/3**QID : 342 -**

**Options:**

1) 30

2) 45

3) 60

4) 90

Correct Answer: 60**QID : 343 -****Options:**

1) -1

2) 0

3) 1

4) 2**Correct Answer:** 2**QID : 344 -****Options:**

1) 1

2) 2

3) 3

4) 4**Correct Answer: **3**QID : 345 **- If cosec θ + cosec^{2} θ = 1, then what is the value of (cot^{12} θ - 3 cot^{10} θ + 3 cot^{8} θ - cot^{6} θ)?

**Options:**

1) -2

2) -1

3) 0

4) 1**Correct Answer:** 1**QID : 346 -**

how much is the expenditure (in Rs crores) on Operations annually?

**Options:**

1) 1.52

2) 7.14

3) 11.52

4) 1.152**Correct Answer: **11.52**QID : 347 -**

What is the monthly expenditure (in Rs crores) on Miscellaneous by the company?

Options:

1) 14.4

2) 1.44

3) 1.21

4) 1.69

Correct Answer: 1.44**QID : 348 -**

If 5% of Miscellaneous is spent on research of nanotubes, then how much is spent (in Rs crores) on research of nanotubes annually?

**Options:**

1) 0.864

2) 0.362

3) 0.544

4) 0.962

Correct Answer: 0.864**QID : 349 -**

By what percentage is the total expenditure on Interest and Miscellaneous more that the total expenditure on Tax and Salary?

**Options:**

1) 20

2) 15

3) 8

4) 10**Correct Answer: **10**QID : 350 -**

Total amount spent on Raw material is 50% of the total amount spent on Interest. If the ratio of amount of expenditure on Rent and Raw material is 1 : 2 respectively, then what will be the amount (in Rs) spent on Rent annually?

**Options:**

1) 28000000

2) 36000000

3) 40000000

4) 32000000**Correct Answer:** 36000000