# SSC CGL- 2018- 11-June-Shift-3 – Quantitative Aptitude SSC CGL- 2018- 11-June-Shift-3 – Quantitative Aptitude

1. If secθ = 13 / 5, then tanθ – sinθ + cosθ is equal to :
1. 118/ 65
2. 23/13
3. 124/ 65
4. 121/ 65

2. The radii of the two circular faces of the frustum of a cone of height 14cm are 5cm and 2cm. What is its volume in cm3

1. 520
2. 540
3. 572
4. 560

3. The difference between the compound interest and simple interest on Rs. x at 12% per annum for 2 years is Rs.18. What id the value of x?

1. 1280
2. 1300
3. 1340
4. 1250

4. A train without stoppage travels with an average speed of 80 km/h and with the stoppage, it travels with an average speed of 72 km/h. For how many minutes does the train stop on an average per hour ?

1. 7
2. 6
3. 8
4. 9

5. If a + b = 8 and ab = 22/3, then (a3 + b3) is equal to :

1. 256
2. 384
3. 128
4. 320

6. The value of : 5.8 + (7.4 / 3.7 * 5) – 6 * 2 / 2.5

1. 11
2. 12
3. 9
4. 10

7. For what value of x is the seven digit number 46393×8 divisible by 11 ?

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

8. If a + b + c = 4 and ab + bc + ca = 2, then  a3 + b3+ c3 – 3abc is equal to :

1. 48
2. 40
3. 32
4. 36

9.Ina class of 50 students, 46% are girls and remaining are boys. The average of the boys marks is 58 and that of the girls is 62. What is the average marks of the whole class ?

1. 60.65
2. 60.38
3. 60.12
4. 59.48

10. The value of sin248° + sin242° – sec230° + tan260° is equal to :

1. 5/3
2. 7/3
3. 2
4. 8/ 3

11. The two chords AB and CD of a circle intersect at a point P inside the circle. If AB = 7cm, PC = 2cm and AP = 4cm, then CD is equal to :

1. 8cm
2. 5cm
3. 4cm
4. 6cm

12. Two articles are sold for Rs. 2508 each. On one, there is a gain of 14% and on the other there is loss of 12% What is the overall gain or loss % to nearest one decimal place?

1. 0.7 % loss
2. 0.7% gain
3. 0.5%loss
4. 0.5% gain

13. A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 10 days. In how many days will A alone complete 150% of the task?

1. 35
2. 33
3. 31
4. 28

14. If sin 5θ = cos (50 – 3θ) then θ is equal to :

1. 20°
2. 25°
3. 30°
4. 15°

15. An article is sold for Rs.535.50 after two successive discounts of 25% and 15%. What is the marked price of the article?

1. 820
2. 830
3. 840
4. 800

16. If a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to :

1. 5 : 6 : 8
2. 15 : 24 : 28
3. 15 : 24 : 32
4. 5 : 8  :  6

17. If √x + 1/ √x = √7, then x3 + 1 / xis equal to :

1. 120
2. 140
3. 130
4. 110