SSC CGL Previous Year Question Paper 18th August Shift 2 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 18th August Shift 2 - QA | Simplification - SSC

If x + y + z = 1, xy + yz + zx = xyz = −4, then what is the value of (x³ + y³ + z³)?

A.
8
B.
-8
C.
1
D.
-1

2. SSC CGL 18th August Shift 2 - QA | Simple Equation - SSC

What is the constant term in the expansion of ${(5 x^{2} - \frac{1}{x})}^{3}$ ?

A.
15
B.
5
C.
75
D.
-15

3. SSC CGL 18th August Shift 2 - QA | Triangles - SSC

In a trapezium PQRS, PQ is parallel to RS and diagonals PR and QS intersect at O. If PQ = 4 cm. SR = 10 cm, then what is area (△POQ) : area (△SOR)?

A.
2 : 3
B.
2 : 5
C.
4 : 25
D.
4 : 9

4. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC

A shopkeeper buys an article at 30% discount on its marked price and sells it at 5% discount onits marked price. If he earns a profit of ₹65, then whatis the marked price (in ₹) of the article?

A.
227.50
B.
325
C.
260
D.
292.50

5. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC

If tan θ = $\sqrt{5}$ , the the value of $\frac{\cos e c^{2} θ + s e c^{2} θ}{\cos e c^{2} θ - s e c^{2} θ}$ is:

A.
- $\frac{7}{5}$
B.
$\frac{7}{5}$
C.
- $\frac{3}{2}$
D.
$\frac{3}{2}$

6. SSC CGL 18th August Shift 2 - QA | Ratio, Proportion & Variation - SSC

A sum of ₹6342 is divided amongst A, B, C and in theratio 3 : 4: 8 : 6. What is the difference between the shares of B and D?

A.
₹906
B.
₹1510
C.
₹302
D.
₹604

7. SSC CGL 18th August Shift 2 - QA | Simplification - SSC

If x² - 5 $\sqrt{2}$ x + 1 = 0, then what is the value of $\frac{(x^{3} + \frac{1}{x})}{x^{2} + 1}$ ?

A.
$\frac{24 \sqrt{2}}{5}$
B.
$\frac{12 \sqrt{2}}{5}$
C.
$\frac{18 \sqrt{2}}{5}$
D.
$\frac{26 \sqrt{2}}{5}$

8. SSC CGL 18th August Shift 2 - QA | Simplification - SSC

Simplify the following expression:

6 ÷ 4 of 3 − 4 ÷ 6 × (13 − 10) − 2 × 15 ÷ 6 × 6

A.
-27 $\frac{1}{2}$
B.
-19 $\frac{1}{2}$
C.
-29 $\frac{14}{17}$
D.
-31 $\frac{1}{2}$

9. SSC CGL 18th August Shift 2 - QA | Simple & Compound Interest - SSC

A sum of ₹3125 amounts to 3515.20 in 3 years at x %p.a., interest being compounded yearly. What will be the simple interest (in ₹) on the same sum and for the same time at (x + 2) %p.a.?

A.
562.50
B.
554
C.
550
D.
565.50

10. SSC CGL 18th August Shift 2 - QA | Time & Work - SSC

A can complete a work in 60 days. B is 25% more efficient than A. They work together for 15 days. C alone completes the remaining work in 14 days. B and C together will complete $\frac{5}{8}$ th part of the original work in:

A.
18 days
B.
15 days
C.
16 days
D.
12 days

11. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC

By selling an article for ₹131.25, a trader gains as much percent as the number representing the cost price of the article. In order to earn 40% profit, at what price (in ₹) should hesell the article?

A.
140
B.
105
C.
75
D.
100

12. SSC CGL 18th August Shift 2 - QA | Coordinate Geometry - SSC

The cost of tiling the floor of a rectangular room is ₹9100 at ₹65 per m². The ratio of the length and breadth of the floor is 7 : 5. The perimeter (in m ) of the floor of the room is:

A.
36
B.
24
C.
48
D.
28.8

13. SSC CGL 18th August Shift 2 - QA | Average, Mixture & Alligation - SSC

The average of ten numbers is 32.5. The averageoffirst four numbers is 25.6 and thatofthe last three numbers is 38.2. The 5th number is 50% more than the 6th number and 8 less than the 7th number. Whatis the average of 5th and 7th numbers?

A.
42
B.
41
C.
42.4
D.
41.5

14. SSC CGL 18th August Shift 2 - QA | Lines & Angles - SSC

ABCD is a cyclic quadrilateral. AB and DC meet at F, when produced. AD and BC meetat E, when produced. If ∠BAD = 68° and ∠AEB = 27°, then whatis the measure of ∠BFC?

A.
27°
B.
22°
C.
17°
D.
15°

15. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC

Medicines of three different flavors - A, B and C (in lakh bottles) manufactured by a pharmaceutical company over a period of five years from 2010 to 2014 is given in the bar graph.

Production of flavor A in 2012 is what percent less than the average production of flavor B in all the years (correct to 2 decimal places)?

A.
3.87
B.
4.66
C.
6.98
D.
5.66

16. SSC CGL 18th August Shift 2 - QA | Number Theory - SSC

If the 5-digit number 688xy is divisible by 3, 7 and 11, then what is the value of (5x + 3y)?

A.
36
B.
23
C.
43
D.
39

17. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC

If 5 sin² θ - 4 cos θ - 4 = 0, 0° < θ < 90°, then the value of (cot θ + cosec θ) is:

A.
$\frac{\sqrt{6}}{2}$
B.
$\frac{\sqrt{6}}{3}$
C.
$\frac{3}{2}$
D.
$\frac{2}{3}$

18. SSC CGL 18th August Shift 2 - QA | Time, Speed & Distance - SSC

Suman travels from place X to Y and Rekha travels from Y to X, simultaneously. After meeting on the way, Suman and Rekha reach Yand X, in 3 hours 12 minutes and one hour 48 minutes, respectively. If the speed of Rekha is 9 km/h, then the speed (in km/h) of Suman is:

A.
7 $\frac{1}{2}$
B.
8
C.
6
D.
6 $\frac{3}{4}$

19. SSC CGL 18th August Shift 2 - QA | Triangles - SSC

△ABC is an equilateral triangle. D is a point on side BC such that BD : BC = 1 : 3. If AD = 5 $\sqrt{7}$ cm, then the side of the triangle is:

A.
20 cm
B.
18 cm
C.
15 cm
D.
12 cm

20. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC

The income of A is 20% less than the incomeofB and the incomeofC is 70%of the sum of incomes of A and B. The incomeof D is 25%more than the income ofC.If the difference between the incomes of B and D is ₹23000, then what is the income(in ₹) of A?

A.
28000
B.
26000
C.
32000
D.
25000

21. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

The average number of cars sold by dealer C in February. April and May exceeds the number of cars sold by the dealer E in January by x . The value of x lies between

A.
55 and 60
B.
40 and 45
C.
45 and 50
D.
50 and 55

22. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC

In △PQR,∠Q = 90°. If tan R = $\frac{1}{3}$ , then what is the value of $\frac{s e c P (\cos R + \sin P)}{\cos e c R (\sin R - \cos e c P)}$ ?

A.
$\frac{18}{7}$
B.
- $\frac{18}{7}$
C.
- $\frac{2}{7}$
D.
$\frac{2}{7}$

23. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

80% the total number of cars sold by dealers B and E in April is what percent less than the total number of cars sold by the dealers C and D in February?

A.
15%
B.
12.5%
C.
17.5%
D.
16%

24. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC

Bar graph shows the number of students enrolled for a vocational course in institutes A and B during 5 years.

The average number of students enrolled in institute A during 2014, 2016 and 2018 is what percent less than the number of students enrolled in institute B during 2017 (correct to two decimal places)?

A.
29.17%
B.
32.75%
C.
26.15%
D.
22.46%

25. SSC CGL 18th August Shift 2 - QA | Circles - SSC

Achord AB of circle C₁, of radius 17 cm touches circle C₂, which is concentric to C₂. The radius of C₂, is 8 cm. What is the length (in cm) of AB?

A.
25
B.
20
C.
30
D.
24

SSC CGL 18th August Shift 2 - QA

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