# SSC CGL- 2019 SET-2 Quantitative Aptitude SSC CGL- 2019 SET-2 Quantitative Aptitude

1. If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is

(a) 0
(b) -1
(c) 2
(d) 1

2. The income of Raju is 20% more than his expenditure. If his income increases by 60% and his expenditure increases by 70%, then by what percent does his savings increase/decrease ?

(a) it decreases by 10%
(b) It decreases by 2%
(c) it increases by 10%
(d) It increases by 2%

3. A triangle ABC is inscribed in a circle with centre O. AO is produced to meet the circle at K and AD ⊥ BC. If ∠B = 80° and ∠C = 64° , then the measure of ∠DAK is

(a) 10°
(b) 16°
(c) 12°
(d) 20°

4. If cosθ = 2p/(1+p²), then tanθ is equal to

(a) p2 /1+p2
(b) 2p /1−p2
(c) 1−p2 /1+p2
(d) 1−p2 /2p

5. If 0° < θ < 90° and cos²θ = 3(cot²θ – cos²θ) then the value of ( 1/2 secθ + sinθ)-1 is

(a) √3 + 2
(b) 2(2 − √3)
(c) 2(√3 − 1)
(d) √3 + 1

6. If 16x² + 9y² + 4z² = 24 (x – y + z) – 61, then the value of (xy + 2z) is

(a) 1
(b) 2
(c) 3
(d) 5

7. if x + y + z = 19, xy + yz + zx = 114, then the value of √x3 + y3 + z3 − 3xyz is

(a) 21
(b) 17
(c) 19
(d) 13

8. In ∆ABC, AD ⊥ BC ad BE ⊥ AC. AD and BE intersect each other at F. If BF = AC, then the measure of ∠ABC is

(a) 45°
(b) 60°
(c) 70°
(d) 50°

9. Two circles of radii 10 cm and 8 cm intersect at the points P and Q. if PQ = 12 cm, and the distance between the centres of the circles is x cm. The value of x (correct to one decimal place ) is

(a) 13.9
(b) 14.8
(c) 13.3
(d) 12.8

10. ( sinθ−2sin 3θ / 2cos 3θ−cosθ )2 + 1, θ ≠ 45°, is equal to

(a) cosec²θ
(b) sec²θ
(c) cot²θ
(d) 2tan²θ

11. if [8(x + y)³ – 27 (x – y)³] ÷ (5y – x) = Ax² + Bxy + Cy², then the value of (A + B + C) is

(a) 26
(b) 19
(c) 16
(d) 13

12. A takes 30 minutes more than B to cover a distance of 15 km at a certain speed. But if A doubles his speed, he takes one hour less than B to cover the same distance. What is the speed (in km/h) of B?

(a) 6
(b) 5
(c) 6  ½
(d) 5  ½

13. The value of 5 ÷ 5 of 5 × 2 +2 ÷ 2 of 2 × 5 – (5 – 2) ÷ 6 × 2 is

(a) 9/5
(b) 19/10
(c) 19
(d) 23/2

14. If x is subtracted from each of 23, 39, 32 and 56, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 4) and (3x + 1)?

(a) 15
(b) 10
(c) 12
(d) 14

15. The marked price of an article is Rs 315. it is sold for Rs288. if there is a loss of 4%, then by what percent above the cost is article marked?

(a) 5
(b) 8
(c) 6  ½
(d) 5  ½

16. . The ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days, A and C together will complete 35% of that work in

(a) 12 days
(b) 10 days
(c) 18 days
(d) 15 days

17. The compound interest on a certain sum in 2 ½ years at 10% p.a. interest compounded yearly isRs 1,623. The sum is

(a) Rs 5000
(b) Rs 6000
(c) Rs 6500
(d) Rs 7200

18. ∆ABC is similar to ∆DEF. The area of ∆ABC is 100 cm² and the area of ∆DEF is 49 cm². If the altitude of ∆ABC = 5 cm, then the corresponding altitude of ∆DEF is

(a) 7 cm
(b) 4.5 cm
(c) 6 cm
(d) 3.5 cm

SSC CGL- 2019 SET-2 Quantitative Aptitude

19. Renu bought an article for Rs 1,240 and sold it at a loss of 25%. With this amount, she bought another article and sold it at a gain of 40%. Her overall percentage profit is

(a) 12
(b) 6  2/3
(c) 5
(d) 15

20. How much iron sheet (in m²) will be needed to construct a rectangular tank measuring 10 m × 8 m × 6 m, if a circular opening of radius one metre is to be left at the top of the tank ? (correct to one decimal place)

(a) 371.6
(b) 370.4
(c) 372.9
(d) 370.8