# SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-3 (Mathematics)

**SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-3**

**(Mathematics)**

**QID : 251 -** How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

**Options:**

1) 7

2) 8

3) 9

4) 10 **Correct Answer:** 9

**QID : 252 - **A and B do (3/5)th part of a work and the rest of the work is completed by C. If A, B and C take the same work for Rs 5000, then what is the share of C (in Rs)?

**Options:**

1) 3000

2) 2500

3) 2000

4) 1500

**Correct Answer**: 2000

**QID : 253 ** - A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

**Options:**

1) 25

2) 0

3) 5

4) 10 **Correct Answer: **25

**QID : 254 -** A dealer sells a machine having marked price as Rs 3840 at a discount of 20%. What is the selling price (in Rs) of the machine?

**Options:**

1) 3072

2) 3500

3) 4608

4) 3240

**Correct Answer:** 3072

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**QID : 255 ** - In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

**Options:**

1) 1 : 1

2) 1 : 2

3) 1 : 3

4) 1 : 4

Correct Answer: 1 : 3

**QID : 256 ** - The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

**Options:**

1) 14

2) 22

3) 28

4) 36 **Correct Answer:** 36

**QID : 257 - **Profit obtained on selling an article for Rs 540 is equal to the loss incurred on selling the article for Rs 370. If selling price is Rs. 910, then what is the profit percentage?

**Options:**

1)

2)

3) 50

4) 100 **Correct Answer:** 100

**QID : 258 **- In an examination 65% students pass in history and 55% students pass in hindi. If 5% students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?

**Options:**

1) 15

2) 20

3) 25

4) 30 **Correct Answer**: 25

**QID : 259 ** - Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

**Options:**

1) 12325

2) 18750

3) 21000

4) 24350

**Correct Answer:** 18750

**QID : 260 **- A person invested a total sum of Rs 7900 in three different schemes of simple interest at 3%, 5% and 8% per annum. At the end of one year he got same interest in all three schemes. What is the money (in Rs) invested at 3%?

**Options:**

1) 2900

2) 3500

3) 4000

4) 5600 **Correct Answer: **4000

**QID : 261 **- If x + (1/x) = 2, then what is the value of x^{21} + (1/x^{1331})?

**Options:**

1) 0

2) 1

3) 2

4) 4 **Correct Answer:** 2

**QID : 262 -** If x^{3} – y^{3} = 81 and x – y = 3, then what is the value of x^{2} + y^{2}?

**Options:**

1) 18

2) 21

3) 27

4) 36 **Correct Answer:** 21

**QID : 263 -**

**Options:**

1) –4

2) 0

3) 2

4) 4

**Correct Answer:** 2

**QID : 264 **-

**Options:**

1) 1

2) 2

3) 4

4) 8 **Correct Answer: **8

**QID : 265 -** The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

**Options:**

1) 36

2) 48

3) 76

4) 84 **Correct Answer: **76

**QID : 266 **- O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

**Options:**

1) 60

2) 80

3) 90

4) 100 **Correct Answer: **80

**QID : 267 - **In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

**Options:**

1) 18

2) 28

3) 32

4) 36 **Correct Answer: **36

**QID : 268 ** - In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR ?

**Options:**

1) 36

2) 54

3) 72

4) 216 **Correct Answer:** 54

**QID : 269 **- What is the simplified value of [2/(cot A – tan A)]?

**Options:**

1) sin A cos A

2) tan 2A

3) tan^{2} A

4) sin^{2} A cos^{2} A**Correct Answer**: tan 2A

**QID : 270 - **

**Options:**

1) cosec A

2) sec A – tan A

3) cosec ^{2}A

4) tan A – cosec A

**Correct Answer:** sec A – tan A

**QID : 271 - **What is the simplified value of (sec^{4} A – tan^{2} A) – (tan^{4} A + sec^{2} A)?

**Options:**

1) –1

2) –1/2

3) 0

4) 1

**Correct Answer:** 0

**QID : 272 - **

What is the percentage increase in number of mobile sold by Brand 2 from 2014 to 2015?

**Options:**

1) 8.33

2) 33.33

3) 37.5

4) 11.11 **Correct Answer: **11.11

**QID : 273 - **

What is the percentage increase in the total number of mobiles sold by these four brands from 2014 to 2016?

**Options:**

1) 42.16

2) 38.63

3) 32.43

4) 30.16

**Correct Answer**: 38.63

**QID : 274 - **

In 2017 the sales of each brand increased by the same percentage as it did in the year 2016. What will be the approximate average sales (in units) of mobiles per brand in year 2017?

**Options:**

1) 9175

2) 8360

3) 9436

4) 9678

**Correct Answer:** 9175

**QID : 275 - **

If for any year, the sales of a brand is more than average sales of these four brands in that year, then it gets a star. Which brand has the maximum stars?

**Options:**

1) Brand 3

2) Brand 3 and 4 both

3) Brand 4

4) All brands**Correct Answer:** Brand 4

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**Courtesy: SSC**