# SSC CGL- 2018- 12-June-Shift-1 – Quantitative Aptitude SSC CGL- 2018- 12-June-Shift-1 – Quantitative Aptitude

1. Two articles are sold for Rs. 4956 each. On one, the seller gains 18% and on  the other he loses 16%. What is his overall gain or loss percent to nearest one decimal place.
1. 1.9 % loss
2. 1.9 % gain
3. 2.1 % loss
4. 2.1 % gain

2. If tan 4θ = cot(40° – 2 θ), then θ is equal to :

1. 35°
2. 20°
3. 30°
4. 25°

3. If cos θ = 4 / 5 , then sin2 θ cos θ + cos2 θ sin θ is equal to :

1. 84 / 125
2. 16 / 25
3. 14 / 25
4. 82 / 125

4. The difference between compound interest and simple interest on Rs. x at 12% per annum for 2 years is Rs. 43.20. What is the value of x?

1. 2500
2. 2400
3. 2800
4. 3000

5. What is the value of x so that the seven digit number 91876×2 is divisible by 72?

1. 2
2. 3
3. 5
4. 7

6. Chord AB and CD of a circle intersect at a point P inside the circle. If AB = 10cm, AP = 4cm and PC = 5cm, then CD is equal to :

1. 9.8cm
2. 7.8cm
3. 4.8cm
4. 6.8cm

7. A train without stoppage travels with the average speed of 80km/h and with stoppage, it travels with an average speed of 64km/h. For how many minutes does the train stop on an average per hour ?

1. 10
2. 14
3. 8
4. 12

8. If √x + 1 / √x = 2√2, then x2 + 1 / x2 is equal to :

1. 64
2. 34
3. 36
4. 32

9. In a circle with a center O, AB is diameter and CD is a chord such that ABCD is a trapezium. If angle BAC = 28°, then angle CAD is equal to :

1. 32°
2. 28°
3. 34°
4. 62°

10. The radii of the two circular faces of the frustum of a cone of height 21cm are 5cm and 3cm.What is the volume in cm3

1. 1078
2. 1025
3. 1058
4. 1020

11. An article sold for Rs. 547.40 after successive discounts of 30% and 15%. What is the marked price of the article ?

1. 960
2. 940
3. 920
4. 900

12. The value of : 3.8 +  (8.2 / 4.1 * 2 ) – 4* 3 / 1.2

1. -1.2
2. 2.2
3. 1.2
4. – 2.2

13. In a class of 60 students 40% are girls. The average weight of the boys is 62 kg and that of girls is 55 kg. What is the average weight of the whole class ?

1. 58.8
2. 59
3. 58.6
4. 59.2

14. A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 20 days. In how many days will C alone complete 30% of task?

1. 29
2. 31
3. 33
4. 35

15. If  a+ b + c = 6 and ab + bc + ca = 5, then a3+ b3  + c3 – 3 abc is equal to :

1. 126
2. 98
3. 108
4. 116

16. If a : b = 2 : 3, then (5a – 2b )  : (5a + 2b) is equal to :

1. 1 : 4
2. 3 : 7
3. 1 : 3
4. 2 : 7