SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-2 (Mathematics)

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SSC CGL 2017 EXAM PAPER : Held on 12-AUG-2017 Shift-2

(Mathematics)

QID : 151  - Which of the following can't be the unit's digit of a perfect square?

Options:
1) 4

2) 6

3) 8

4) 9
 Correct Answer: 8
   
QID : 152  - Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

Options:
1) 15

2) 37

3) 40

4) 45
 
Correct Answer: 40
   
QID : 153  - The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

Options:
1) 35
2) 75
3) 150
4) 225  
Correct Answer: 150  
  
QID : 154  - What will be the net discount percentage of three successive discounts of 20%, 10% and 30%?

Options:
1) 45.2

2) 49.6

3) 54.6

4) 50.4
 
Correct Answer: 49.6
  
QID : 155  - Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

Options:
1) 49.6
2) 52.3
3) 51.2
4) 50.7  
Correct Answer: 50.7  

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QID : 156  - Seven friends spent Rs 14 each on a project and the eighth friend spent Rs 21 more than the average expenditure of all eight of them. What is the amount of  total money (in Rs) spent by them?

Options:
1) 133
2) 136
3) 141
4) 155  
Correct Answer: 136  
  
QID : 157  - A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

Options:
1) 12
2) 14
3) 16
4) 20  
Correct Answer: 20  
  
QID : 158  - A, B and C are three students. A got 36% less marks than B and 16% more marks than C. If B got 145 marks, then what are the marks got by C?

Options:
1) 120
2) 110
3) 80
4) 75  
Correct Answer: 80  
  
QID : 159  - After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

Options:
1) 6 hours 15 minutes
2) 6 hours 45 minutes
3) 7 hours
4) 7 hours 30 minutes
Correct Answer: 6 hours 45 minutes

QID : 160  - If a certain sum of money become thrice of itself in 5 years 4 months at simple interest, then what will be the yearly rate of interest (in %)?

Options:
1) 18.75

2) 27.5

3) 37.5

4) 42.25
 Correct Answer: 37.5
   
QID : 161  - If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?

Options:
1) 121
2) 168
3) 300
4) 770  
Correct Answer: 770  

QID : 162  - 

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Options:
1) 144

2) 288

3) 396

4) 488
 Correct Answer: 488
   
QID : 163  - 

ssc cgl
 
Options:
1) –1

2) 0

3) 4

4) 16
 Correct Answer: 0
   
QID : 164  - If (x/5) + (5/x) = – 2, then what is the value of x3?

Options:
1) –125
2) 5
3) 1/125
4) 625  
Correct Answer: –125  

QID : 165  - In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

Options:
1) 107.5
2) 112.5
3) 117.5
4) 122.5  
Correct Answer: 112.5  
  
QID : 166  - In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

Options:
1) 30
2) 36
3) 45
4) 60  
Correct Answer: 30  

QID : 167  - 

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 Options:
1) 2.5

2) 3

3) 4.5

4) 5
 Correct Answer: 2.5
   
QID : 168  - 

ssc cgl
 
Options:
1) 144

2) 216

3) 256

4) 288
 Correct Answer: 144
   
QID : 169  - What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

Options:
1) cos2 A + cot2 A

2) 2 cos2 A

3) 2 cot2 A

4) 2 cos A cot A
 
Correct Answer: cos2 A + cot2 A
   
QID : 170  - 

    ssc cgl
Options:
1) cosec A
2) √2 cosec A
3) 2 sec2A
4) sec A  
Correct Answer: √2 cosec A  
  
QID : 171  - 

    ssc cgl
Options:
1) sin A + cos A
2) 1 + sin 2A
3) 1 + cos 2A
4) tan A + cot A  
Correct Answer: 1 + sin 2A  
  
QID : 172  - 

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What is average per acre yield (in million tonnes) of these 7 countries?

Options:
1) 163.14
2) 184.28
3) 146.78
4) 198.26  
Correct Answer: 184.28  
  
QID : 173  - 

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What is the respective ratio of average per acre yield of the 3 countries having the highest yield to average per acre yield of the 3 countries having the least yield?

Options:
1) 148 : 65

2) 201 : 149

3) 89 : 69

4) 137 : 51
 Correct Answer: 137 : 51
  
QID : 174  - 

ssc cgl
Total per acre yield of India and China is what percent of the total per acre yield of the remaining countries?

Options:
1) 44.34
2) 56.68
3) 83.24
4) 79.66  
Correct Answer: 79.66  
  
QID : 175  - 

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All the countries are arranged in ascending order of per acre yield. If bottom 2 countries increases their per acre yield by 20% and all other countries increase their per acre yield by 10%, then what is the new average per acre yield (in million tonnes)?

 Options:
1) 205.37
2) 210.82
3) 201.19
4) 199.26  
Correct Answer: 205.37  

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