# SSC CGL 2017 EXAM PAPER : Held on 11-AUG-2017 Shift-1 (Mathematics)

**SSC CGL 2017 EXAM PAPER : Held on 11-AUG-2017 Shift-1**

**(Mathematics)**

** ****QID : 51** - A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

**Options:**

1) 8/9

2) 7/10

3) 7/8

4) 6/11

**Correct Answer:** 7/10

**QID : 52 **- Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

**Options:**

1)

2)

3)

4)

**Correct Answer:**

**QID : 53 ** - The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

**Options:**

1) trapezium

2) rectangle

3) parallelogram

4) square**Correct Answer:** parallelogram**QID : 54 ** - What is the discount percentage offered on a book having marked price Rs 2150 being sold at Rs 1892?

**Options:**

1) 12

2) 13

3) 14

4) 16 **Correct Answer:** 12

**QID : 55 **- Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?

**Options:**

1) 29850

2) 30120

3) 31350

4) 37250 **Correct Answer:** 31350

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**QID : 56** - The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

**Options:**

1) x + 1

2) x + 2

3) 2.5x

4) x + 2.5

**Correct Answer:** x + 1

**QID : 57** - A dealer sells two machines at Rs 12000 each. On one it gains 32% and on the other it looses 32%. What is its profit/loss percentage in the whole transaction?

**Options:**

1) No gain and no loss

2) 1% loss

3) 18% profit

4) 10.24% loss**Correct Answer**: 10.24% loss**
QID : 58 ** - How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

**Options:**

1) 10

2) 20

3) 40

4) 80

**Correct Answer: **80

**QID : 59 ** - A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

** Options:**

1) 20.57

2) 24

3) 28

4) 26.52 **Correct Answer:** 24

**QID : 60 ** - For an amount, simple interest at the rate of interest of 12% per annum for 6 years is Rs 25920. What will be the compound interest (in Rs) on same amount at the rate of interest of 8% per annum compounding annually for 2 years?

**Options:**

1) 4326.3

2) 5563.4

3) 5888.6

4) 5990.4 **Correct Answer:** 5990.4 **
QID : 61 ** - If α and β are roots of the equation 3x

^{2}– 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

**Options:**

1) 65/28

2) 53/14

3) 9

4) 85/42 **Correct Answer:** 85/42

**QID : 62 **- If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a^{3} + b^{3} + c^{3} – 3abc ?

**Options:**

1) 189

2) 243

3) 361

4) 486 **Correct Answer:** 243

**QID : 63 **- If (x/y) + (y/x) = 1, then what is the value of x^{3} + y^{3}?

**Options:**

1) – 1

2) 0

3) 1

4) 3 **Correct Answer:** 0

**QID : 64 ** - If 5^{x} = 30^{-y} = 6^{z}, then what is the value of (xy + yz + zx)/xyz ?

**options:**

1) 0

2) 1

3) 2

4) 3 **Correct Answer:** 0

**QID : 65 ** - The internal bisectors of ∠Q and ∠R of triangle PQR meet at O. If ∠P = 70°, then what is the measure of ∠QOR (in degrees)?

**Options:**

1) 110

2) 115

3) 125

4) 135

**Correct Answer:** 125

**QID : 66 ** - If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

**Options:**

1) 5 : 7

2) 25 : 49

3) √5 : √7

4) 125 : 343

**Correct Answer:** √5 : √7

**QID : 67 ** - ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm^{2}) of trapezium?

**Options:**

1) 36

2) 44

3) 88

4) 144

**Correct Answer:** 44

**QID : 68 - **

**Options:**

1) 144

2) 154

3) 288

4) 462

**Correct Answer**: 154

**QID : 69 **- What is the simplified value of [(tan^{2} θ – sin^{2} θ)/tan^{2} θ sin^{2} θ]?

**Options:**

1) –1

2) 0

3) 1

4) 2 **Correct Answer:** 1

**QID : 70 ** - If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?

**Options:**

1) 1

2) √3

3) 1/√3

4) 2√3

**Correct Answer:** 1/√3

**QID : 71 **- If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?

**Options:**

1) – 1

2) 0

3) 1

4) 2** Correct Answer:** – 1 **
QID : 72 - **

Which of the following type of car has the highest increase in sales from 2009 to 2012?

**Options:**

1) Hatchback

2) Both SUV and Hatchback

3) SUV

4) Sedan**Correct Answer**: SUV

**QID : 73 - **

What is the simple annual growth rate (in %) in the sales of SUV from 2009 to 2012?

**options:**

1) 90

2) 100

3) 133.33

4) 150 **Correct Answer: **133.33 **QID : 74 - **

What is the respective ratio of total sales of Sedan and total sales of SUV over the period of 4 years ?

**Options:**

1) 23 : 31

2) 29 : 39

3) 43 : 31

4) 76 : 47** Correct Answer:** 43 : 31

**QID : 75 - **

If all the 3 categories increase by same rate in 2013 over 2012 as they did in 2012 over 2011, then what will be the total approximate sales (in ‘000 units) of all the 3 categories taken together in year 2013 ?

**options:**

1) 2152

2) 2345

3) 3069

4) 3568

**Correct Answer:** 3069

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**Courtesy: SSC**