SSC CGL Previous Year Question Paper 16th August Shift 1 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 16th August Shift 1 - QA | Percentage, Profit & Loss - SSC

The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is ₹28500 less than that of B, then the income (in ₹) of C is:

A.
36000
B.
48000
C.
50000
D.
40000

2. SSC CGL 16th August Shift 1 - QA | Lines & Angles - SSC

If △ABC, ∠A = 90°, AD ⊥ BC at D. If AB = 12 cm and AC = 16 cm, then what is the length(in cm) of BD?

A.
7.8
B.
6.4
C.
7.2
D.
8.4

3. SSC CGL 16th August Shift 1 - QA | Ages

Ratio of the present age of a motherto that of the daughteris 7 : 1. After 5 years the ratio will become 4 : 1. What is the difference (in years) in their present ages?

A.
29
B.
30
C.
28
D.
31

4. SSC CGL 16th August Shift 1 - QA | Trigonometry - SSC

1 + 2 tan² θ + 2 sin θ sec² θ, 0° < θ < 90°, is equal to:

A.
$\frac{1 + \cos θ}{1 + \cos θ}$
B.
$\frac{1 + \cos θ}{1 - \cos θ}$
C.
$\frac{1 - \sin θ}{1 + \sin θ}$
D.
$\frac{1 + \sin θ}{1 - \sin θ}$

5. SSC CGL 16th August Shift 1 - QA | Tables & Graphs - SSC

Table shows the number of trees planted in 4 cities from 2016 to 2020.

From 2016 to 2020, how many more trees were planted in Ahmedabad as compared to trees planted in Pune?

A.
1860
B.
1850
C.
2000
D.
2340

6. SSC CGL 16th August Shift 1 - QA | Lines & Angles - SSC

Angle between the internal bisectors of two angles ∠B and ∠C of a △ABC, is 132°, then the value of ∠A is:

A.
62°
B.
72°
C.
84°
D.
48°

7. SSC CGL 16th August Shift 1 - QA | Tables & Graphs - SSC

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

The ratio of the total number of students enrolled for VC in institutes A, C and E in 2016 to the total number of students enrolled in institutes B and D in 2018, is

A.
8 : 7
B.
14 : 9
C.
21 : 19
D.
3 : 2

8. SSC CGL 16th August Shift 1 - QA | Time, Speed & Distance - SSC

A train mans first 75 km at a certain uniform speed and next 90 km at an average speed of 10 km/h more than the normal speed. If it takes 3 hours to complete the journey, then how much timewill the train take to cover 300 km with normal speed?

A.
5 hours 15 minutes
B.
5 hours 25 minutes
C.
5 hours
D.
6 hours

9. SSC CGL 16th August Shift 1 - QA | Simple Equation - SSC

x + y + z = 2 and xy + yz + zx = -11, then the value of x³ + y³ + z³ - 3xyz is:

A.
78
B.
71
C.
74
D.
69

10. SSC CGL 16th August Shift 1 - QA | Percentage, Profit & Loss - SSC

The selling price of an article marked for ₹10000 after giving three discounts, 20%, 10% and k% is ₹6120. What will be selling price (in ₹) of the samearticle if a single discountof (k + 20)% is allowed?

A.
8500
B.
6800
C.
6500
D.
8000

11. SSC CGL 16th August Shift 1 - QA | Tables & Graphs - SSC

Table shows income (in ₹) received by 4 employees of a company during the month of December 2020 and all their income sources.

By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?

A.
1.4
B.
1.2
C.
1.5
D.
1.6

12. SSC CGL 16th August Shift 1 - QA | Simple Equation - SSC

If a³ + b³ = 405 and a + b = 9, then the value of ab is

A.
10
B.
15
C.
8
D.
12

13. SSC CGL 16th August Shift 1 - QA | Tables & Graphs - SSC

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

The total number of students enrolled for VC in institute C in 2013, 2014 and 2017 is what percent of the total number of students enrolled in all the five institutes in 2018?

A.
62
B.
55
C.
58
D.
53

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

If $(2 x - \frac{3}{x})$ = 2, then what is the value of $(16 x^{4} + \frac{81}{x^{4}})$ ?

A.
328
B.
180
C.
184
D.
220

15. SSC CGL 16th August Shift 1 - QA | Trigonometry - SSC

If $\frac{\cos e c θ + c o t θ}{\cos e c θ - c o t θ}$ = 7, then the value of $\frac{4 \sin^{2} θ - 1}{4 \sin^{2} θ + 5}$ is:

A.
- $\frac{1}{9}$
B.
$\frac{1}{3}$
C.
- $\frac{1}{3}$
D.
$\frac{1}{9}$

16. SSC CGL 16th August Shift 1 - QA | Average, Mixture & Alligation - SSC

The average of 22 numbers is 37.5. The average of first 12 numbers is 40.6 and that of the last 12 numbers is 35.4. If 11th and 12th numbers are excluded, then what is the average of the remaining numbers?

A.
37.8
B.
36.9
C.
37.4
D.
36.4

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

If the 6-digit number 5x423y is divisible by 88, then what is the value of (5x - 8y)?

A.
16
B.
28
C.
24
D.
14

18. SSC CGL 16th August Shift 1 - QA | Trigonometry - SSC

If 3 cos² θ + 4 sin θ + 1 = 0, 0° < θ < 90°, then tan θ + sec θ = ?

A.
2 $\sqrt{5}$
B.
2 $\sqrt{3}$
C.
3 $\sqrt{3}$
D.
$\sqrt{5}$

19. SSC CGL 16th August Shift 1 - QA | Circles - SSC

In a circle with center O, AB is a diameter and CD is a chord such that ∠ABC = 34° and CD = BD. What is the measure of ∠DBC?

A.
24°
B.
28°
C.
32°
D.
30°

20. SSC CGL 16th August Shift 1 - QA | Circles - SSC

In a circle with center O and radius 5 cm, AB and CD are two parallel chords of lengths 6 cm and x cm, respectively and the chords are on the opposite side of the centre O . The distance between the chords is 7 cm. What is the value of x?

A.
9
B.
12
C.
8
D.
10

21. SSC CGL 16th August Shift 1 - QA | Simple & Compound Interest - SSC

A sum of ₹7500 amounts to ₹9075 at 10% p.a, interest being compounded yearly in a certain time. The simple interest (in ₹) on the same sum for the same time and the same rate is:

A.
1500
B.
1520
C.
1480
D.
1530

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

The value of $\frac{52 - 1170 \div 26 + 13 \times 2}{2 + 1 \frac{1}{8} of 2 - 1 \frac{1}{4}}$ is:

A.
12
B.
41
C.
27
D.
11

23. SSC CGL 16th August Shift 1 - QA | Time & Work - SSC

A can do a certain work in 15 days. B is 25% more efficient than A. Both worked together for 4 days. C alone completed the remaining work in 8 days. A, B and C together will complete the same work in ?

A.
4 $\frac{1}{2}$ days
B.
5 days
C.
6 $\frac{1}{2}$ days
D.
4 days

24. SSC CGL 16th August Shift 1 - QA | Coordinate Geometry - SSC

What is the area (in cm²) of a circle inscribed in a square of area 784 cm²?

(Take π = 22/7)

A.
660
B.
616
C.
924
D.
462

25. SSC CGL 16th August Shift 1 - QA | Percentage, Profit & Loss - SSC

On selling an article for ₹246.80, the gain is 20% more than the amount of loss incurred on selling it for ₹216. If the article is sold for ₹220.75, then what is the gain/loss percent(correct to nearest integer)?

A.
Profit 7%
B.
Loss 5%
C.
Loss 4%
D.
Profit 3%

SSC CGL 16th August Shift 1 - QA

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