SSC CGL Previous Year Question Paper 17th August Shift 1 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 17th August Shift 1 - QA | Triangles - SSC

In △ABC, D and E are the points on sides AB and AC, respectively and DE || BC, BC = 8 cm and DE = 5 cm. If the area of △ADE = 45 cm², then what is the area (in cm²) of △ABC?

A.
115.2
B.
105.2
C.
125
D.
64

2. SSC CGL 17th August Shift 1 - QA | Triangles - SSC

A △ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.

A.
13
B.
9
C.
11
D.
12

3. SSC CGL 17th August Shift 1 - QA | Time & Work - SSC

Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same workin 11 days. In how many days can 7 men complete the same work?

A.
11
B.
22
C.
12
D.
24

4. SSC CGL 17th August Shift 1 - QA | Triangles - SSC

In a triangle ABC,a point D lies on AB and points E andF lie on BC suchthat DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6cm, then find the length (in cm) of BC.

A.
30
B.
20
C.
25
D.
15

5. SSC CGL 17th August Shift 1 - QA | Simplification - SSC

The value of 32 ÷ 12 of 3 × [5 − (15 − 12) ÷ 9] of $\frac{3}{7}$ + 4 - 8 ÷ 2 of 4 is:

A.
3 $\frac{1}{3}$
B.
4 $\frac{7}{9}$
C.
3 $\frac{1}{6}$
D.
1 $\frac{7}{9}$

6. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC

A certain number of students from school X appeared in an examination and 20% students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students appeared from from both the schools passed, then what is the percentage of students from school Y whofailed (correct to one decimal place)?

A.
6.4%
B.
10%
C.
5.7%
D.
8.3%

7. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC

The table shows the daily income (in ₹) of 50 persons.

How many persons earn ₹200 or more but less than ₹300?

A.
12
B.
38
C.
22
D.
8

8. SSC CGL 17th August Shift 1 - QA | Simple & Compound Interest - SSC

Asum of ₹ 31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The share (in ₹) of B is:

A.
9024
B.
12690
C.
10152
D.
8460

9. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC

Find the value of $\frac{3}{4}$ cot² 30° + cos² 30° - 3 cosec² 60° + tan² 60°

A.
-4
B.
10
C.
$\frac{\sqrt{3}}{4}$
D.
2

10. SSC CGL 17th August Shift 1 - QA | Simple & Compound Interest - SSC

A certain sum becomes ₹13650 at 15% p.a. simple interest after 2 years. What will be the amount(in ₹) of the same sum after 1 year at the same rate of interest, if the interest is compounded half yearly?

(nearest to a ₹)

A.
12134
B.
10500
C.
13625
D.
11000

11. SSC CGL 17th August Shift 1 - QA | Circles - SSC

In a circle with centre O, PAX and PBY are the tangents to the circle at points A and B, from an external point P. Q is any point on the circle such that ∠QAX = 59° and ∠QBY = 72°. What is the measure of ∠AQB?

A.
31°
B.
72°
C.
49°
D.
59°

12. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC

By selling an article for 640, a person loses 15% ofits selling price. At whatprice (in 2) should he sell it to gain 15% on its cost price?

A.
832
B.
846.40
C.
835
D.
836.60

13. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

The ratio of the total number of students enrolled for VC in institutes A, C and E in 2015 to the total number of students enrolled in institutes B and D in 2017, is:

A.
9 : 10
B.
3 : 4
C.
3 : 2
D.
10 : 11

14. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC

The marked price ofan article is ₹1500. A shopkeeper sells it by giving 20% discount on its marked price.If the cost price ofthe article is ₹991, then his profit(in ₹) is:

A.
209
B.
319
C.
229
D.
189

15. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC

$(\sqrt{s e c^{2} θ + \cos e c^{2} θ})$ $(\frac{\sin θ (1 + \cos θ)}{1 + \cos θ - \sin^{2} θ})$ , 0° < θ < 90° is equal to:

A.
sec² θ
B.
cosec² θ
C.
cot θ
D.
tan θ

16. SSC CGL 17th August Shift 1 - QA | Simplification - SSC

If x + y + z = 7, x² + y² + z² = 85 and x³ + y³ + z³ = 913, then the value of $\sqrt[3]{x y z}$ is:

A.
1
B.
2
C.
4
D.
8

17. SSC CGL 17th August Shift 1 - QA | Time & Work - SSC

A takes 8 hours more than the time taken by B to covera distance of 160 km. IfA doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km/h) of is:

A.
72
B.
70
C.
75
D.
80

18. SSC CGL 17th August Shift 1 - QA | Coordinate Geometry - SSC

The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder?

(Use π = $\frac{22}{7}$ )

A.
2400
B.
2425.5
C.
4800
D.
4850

19. SSC CGL 17th August Shift 1 - QA | Number Theory - SSC

If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y?

A.
35
B.
37
C.
23
D.
21

20. SSC CGL 17th August Shift 1 - QA | Average, Mixture & Alligation - SSC

The average of 8 consecutive even numbers written in ascending order is 17. What is the average ofthe last three numbers, 36 and 53?

A.
31
B.
32.2
C.
31.6
D.
29.8

21. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC

The data given in the table shows the number of students studying in four different disciplines in 5 institutes. Study the table and answer the question:

By what percent is the number of students studying Computer Science in institutes A and B more than the number of students studying Arts in institutes B and C?

A.
5
B.
14
C.
2
D.
24

22. SSC CGL 17th August Shift 1 - QA | Simple Equation - SSC

If a² + c² + 17 = 2(a - 8b - 2b²), then what is the value of (a³ + b³ + c³)?

A.
-7
B.
9
C.
10
D.
-4

23. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C. D, E & F.

The total number of students enrolled for VC in institutes B, C and E in 2015 is x %more than the total number of students enrolled in institutes A, D and F in 2016. The value of x is closest to:

A.
10.3
B.
11.8
C.
10.8
D.
11.1

24. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC

If cos(A - B) = $\frac{\sqrt{3}}{2}$ and cot(A + B) = $\frac{1}{\sqrt{3}}$ Where A - B and A + B are acute angles, then (2A - 3B) is equal to:

A.
45°
B.
30°
C.
15°
D.
60°

25. SSC CGL 17th August Shift 1 - QA | Simplification - SSC

If (54 $\sqrt{2}$ x³ + 24 $\sqrt{3}$ y³) ÷ ( $\sqrt{18}$ x + $\sqrt{12}$ y) = Ax² + by² + Cxy, then what is the value of A² - (B² + C²)?

A.
12
B.
-36
C.
-24
D.
24

SSC CGL 17th August Shift 1 - QA

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