# SSC CGL- 2018- 10-June – Quantitative Aptitude SSC CGL- 2018- 10-June – Quantitative Aptitude

1. A train without stoppage travels with an average speed of 50 km/h, and with stoppage, it travels with an average speed of 44 km/h . For how many minutes does the train stop on an average per hour?
1. 15
2. 14
3. 12
4. 13

1. If x + 1/x= 3, then x3 + 1/ x2 is equal to :
1. 27
2. 18
3. 24
4. 36

3. The difference between the compound interest and simple interest on Rs. x  at 8% per annum for 2 years is Rs. 19.20. What is the value of x ?

1. 2800
2. 3200
3. 2500
4. 3000

4. In triangle ABC, AD is the median and G is a point on AD such that AG : GD = 2 : 1. Then ar (BDG)  : ar(ABC) is equal to :

1. 1 : 4
2. 1 : 9
3. 1 : 6
4. 1 : 3

1. If √x – 1 / √x  = 4, then x2 + 1/ x2 is equal to :
1. 322
2. 256
3. 326
4. 192

1. In a circle with centre O, AB is the diameter and CD is a chord  such that ABCD is a trapezium. If angle BAC = 40°, then angle CAD is equal to :
1. 20°
2. 50°
3. 10°
4. 15°

1. If tan θ = 2 / 3, then 3 sin θ- 4cos θ / 3 sin θ + 4cos θ is equal to :
1. 1/ 3
2. – 1/ 3
3. 2/ 3
4. -2/3

1. If the six digit number 15x1y2 is divisible by 44, then (x + y) is equal to :
1. 9
2. 8
3. 6
4. 7

1. The value of 4.5 – (3.2  / 0.8 * 5)  + 3 * 4 / 6 is :
1. -13.5
2. 5.7
3. -8.5
4. 4.2

1. If a : b = 3 : 2, then (5a + 2b) : (3a + 4b) is equal to :
1. 19 : 17
2. 16 : 15
3. 17 : 14
4. 8 : 7

1. The radius of sphere is reduced by 40%. By what percent will its volume decrease ?
1. 64%
2. 60%
3. 78.4%
4. 72.5%

1. If sec 4θ = cosec (θ + 20°) then θ is equal to :
1. 18°
2. 22°
3. 20°
4. 14°

1. From a point P outside a circle, PAB is a secant and PT is a tangent to the circle, where, A, B and T are points on the circle. If PT = 5 cm PA = 4 cm and AB  = x cm, then x is equal to :
1. 1.75 cm
2. 2.75 cm
3. 2.45 cm
4. 2.25 cm

1. Two articles are sold for Rs. 9720 each. On one, the seller gains 8% and on the other, he loses 10%. What is his overall gain or loss ?
1. Rs. 380 gain
2. Rs. 380 loss
3. Rs. 360 loss
4. Rs. 360 gain

15 : An article is sold for RS. 528  after successive discounts of 20% and 12%. What is the marked price of the article?

1. 760
2. 750
3. 740
4. 780

16. The value of sin2 38° + sin2 52° + sin2 + 30° – tan2 45° is equal to :

1. 1 / 2
2. 1 / 3
3. 1 / 4
4. 3 / 4

17. The price of sugar is increased by 20%. A person wants to increase his expenditure by 8% only. By what percent should he decrease his consumption ?

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

18. If a + b + c = 13 and ab + bc + ca = 54, then a3  + b3 + c3 – 3abc is equal to :

1. 273
2. 91
3. 793
4. 182

SSC CGL- 2018- 10-June – Quantitative Aptitude

19. The average marks of 40 students was found to be 68. If the marks of two students were incorrectly entered as 48 and 64 instead of 84 and 46 respectively, then what is the correct average ?

1. 68.25
2. 68.15
3. 68.45
4. 68.35