# SSC CGL 2017 EXAM PAPER : Held on 10-AUG-2017 Shift-1 (Mathematics)

**SSC CGL 2017 EXAM PAPER : Held on 10-AUG-2017 Shift-1**

**(Mathematics)**

**QID : 51 -** How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

**Options:**

1) 0

2) 1

3) 2

4) 3**Correct Answer: **1**QID : 52 **- 3 men or 4 women can complete a job in 120 days. 12 men and 16 women will complete the same job in how many days?

**Options:**

1) 12

2) 14

3) 15

4) 18**Correct Answer:** 15**QID : 53 **- If the diameter of a hemisphere is 21 cm, then what is the volume (in cm^{3}) of hemisphere?

**Options:**

1) 2810

2) 1250.5

3) 1725.25

4) 2425.5**Correct Answer**: 2425.5

**QID : 54 **- After two successive discounts of 20% and 12% an article is sold for Rs 16896. What is the marked price (in Rs) of the article?

**Options:**

1) 21500

2) 23800

3) 22000

4) 24000**Correct Answer: **24000**QID : 55** - The ratio of speed of three racers is 3 : 4 : 6. What is the ratio of time taken by the three racers to cover the same distance?

**Options:**

1) 3:4:6

2) 6:4:3

3) 4:3:2

4) 2:3:5**Correct Answer**: 4:3:2

**QID : 56** - In a match, average of runs scored by 7 players is 53. If the runs scored by 6 players are 121, 40, 26, 56, 37 and 48, then how many runs did the 7th player scored?

**Options:**

1) 26

2) 37

3) 43

4) 48**Correct Answer:** 43**QID : 57 **- Mohit buys an old bicycle for Rs 2700 and spends Rs 500 on its repairs. If he sells the bicycle for Rs 3520, then what is his profit percentage?

**Options:**

1) 10

2) 12.5

3) 15

4) 20**Correct Answer: **10**QID : 58 -** If the price of onion increases from Rs 24/kg to Rs 36/kg, then by what percentage a household should decrease the consumption of onion so that expenditure remains same?

**Options:**

1) 25

2) 33.33

3) 50

4) 20**Correct Answer: **33.33**QID : 59 **- A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

**Options:**

1) 56

2) 66

3) 72

4) 80**Correct Answer:** 72

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**QID : 60 - **

**Options:**

1) 25/7

2) 4

3) 31/7

4) 33/7**Correct Answer**: 25/7

**QID : 61 **- If (x/y)^{a-4} = (y/x)^{2a-5}, then what is the relation between x and y?

**Options:**

1) x > y

2) Cannot be determined

3) x < y

4) x = y

Correct Answer: Cannot be determined

**QID : 62 - **

**Options:**

1) 25/7

2) 4

3) 31/7

4) 33/7

**Correct Answer: **25/7

**QID : 63 -** If 3a – (3/a) – 3 = 0, then what is the value of a^{3} – (1/a^{3}) + 2?

**Options:**

1) 0

2) 2

3) 4

4) 6**Correct Answer:** 6

**QID : 64 - **

**Options:**

1) 7/2

2) 4

3) 7

4) 14**Correct Answer:** 7

**QID : 65 -** In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

**Options:**

1) 30

2) 40

3) 50

4) 80**Correct Answer**: 50

**QID : 66 **- Circum-centre of ΔABC is O. If ∠BAC = 75° and ∠BCA = 80°, then what is the value (in degrees) of ∠OAC?

**Options:**

1) 45

2) 65

3) 90

4) 95**Correct Answer:** 65** QID : 67** -Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm^{2}) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

**Options:**

1) 6

2) 9√3

3) 12

4) 12√3**Correct Answer: **12√3

**QID : 68 - **

**Options:**

1) 47

2) 68

3) 72

4) Cannot be determined**Correct Answer**: 68**QID : 69 -** What is the simplified value of (cos A + sin A)(cot A + tan A)?

**Options:**

1) sec A + cosec A

2) sin A + cos A

3) tan A + cot A

4) sec A – cosec A**Correct Answer**: sec A + cosec A**QID : 70 - **

**Options:**

1) √2 sec A

2) √2 cosec A

3) sec 2 A

4) 2 sec A**Correct Answer**: √2 sec A**QID : 71 **- If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

**Options:**

1) 1 or 3/5

2) 1 or –1/2

3) –1 or–1/2

4) –1 or 3/5**Correct Answer:** 1 or 3/5**QID : 72 - **

If the total trade of the country in year 3 was 1183 crore dollars, then what was the difference (in crore dollars) between exports and imports of the country in that year?

**Options:**

1) 169

2) 173

3) 142

4) 158**Correct Answer:** 169

**QID : 73 - **

The total trade for Year 2 and Year 4 is same. If exports of Year 4 are 315 crore dollars, then what are the imports (in crore dollars) of Year 2?

**Options:**

1) 306.4

2) 309.8

3) 323.7

4) 318.5**Correct Answer:** 318.5

**QID : 74 - **

Total trade of Year 1 is twice of the total trade of Year 5. If total trade of Year 1 is 5700 crore dollars, then what is the difference (in crore dollars) in exports of Year 1 and Year 5?

**Options:**

1) 1835

2) 1632

3) 1368

4) 1423**Correct Answer**: 1632

**QID : 75 - **

The total trade of 5 years is 3800, 3600, 2800, 3900 and 5000 crore dollars respectively. What is the difference (in crore dollars) in the average exports and average imports respectively?

**Options:**

1) 60

2) –60

3) –90

4) 120**Correct Answer:** 60

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