SSC CGL Previous Year Question Paper 17th August Shift 3 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 17th August Shift 3 - QA | Percentage, Profit & Loss - SSC

The markedprice ofan article is ₹240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%, What is the costprice (in ₹) ofthe article?

A.
200
B.
180
C.
160
D.
150

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

Each one of five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From thefifth day, five persons continued working as a team. In how many days,will the work be completed?

A.
6
B.
2
C.
5
D.
3

3. SSC CGL 17th August Shift 3 - QA | Circles - SSC

Points A and B are on a circle with centre O. PAM and PBN are tangentsto the circle at A and B respectively from a point P outside the circle. Point Q is on the major arc AB such that ∠QAM = 58° and ∠QBN = 50°, then find the measure (in degrees) of ∠APB.

A.
36
B.
40
C.
30
D.
32

4. SSC CGL 17th August Shift 3 - QA | Number Theory - SSC

Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.

A.
100
B.
68
C.
50
D.
64

5. SSC CGL 17th August Shift 3 - QA | Triangles - SSC

In triangle ABC, D is a point on BC such that BD : DC =3 : 4. E is a point on AD such that AE : ED = 2 : 3. Find the ratio area (△ECD) : area (△AEB).

A.
9 : 8
B.
2 : 1
C.
1 : 2
D.
8 : 9

6. SSC CGL 17th August Shift 3 - QA | Tables & Graphs - SSC

The pie chart shows the percentage distribution of a total of 800 employees in different departments of a company.

How many employees are working in the field of marketing?

A.
176
B.
200
C.
240
D.
120

7. SSC CGL 17th August Shift 3 - QA | Simplification - SSC

If 4x⁴ = 5x² - 1, x > $\frac{1}{\sqrt{2}}$ , then what is the value of (2x² - x - 1)?

A.
1
B.
-2
C.
0
D.
2

8. SSC CGL 17th August Shift 3 - QA | Triangles - SSC

In triangle ABC, P and Q are the mid points of AB and AC, respectively. R is a point on PQ such that PR : RQ = 3 : 5 and QR = 20 cm, then what is the length (in cm) of BC?

A.
66.66
B.
24
C.
64
D.
40

9. SSC CGL 17th August Shift 3 - QA | Percentage, Profit & Loss - SSC

The cost price and the marked price of an item are ₹720 and ₹900 respectively. When it is sold at a discount of x%, the profit is $\frac{5 x}{3}$ %, what is the value of x ?

A.
5 $\frac{5}{7}$
B.
5 $\frac{4}{7}$
C.
7 $\frac{4}{7}$
D.
8 $\frac{4}{7}$

10. SSC CGL 17th August Shift 3 - QA | Tables & Graphs - SSC

Bar graph shows the number of students enrolled for a vocational course in institutes A and B during 5 years from 2014 to 2018.

The total number of students enrolled in institute B during 2014, 2016 and 2018 is what percent of the total number of students enrolled in institute A during the five Years?

A.
66%
B.
49%
C.
57%
D.
75%

11. SSC CGL 17th August Shift 3 - QA | Tables & Graphs - SSC

The following Pie charts represent the distribution of candidates who were enrolled for competitive examination and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T. Fig.(i) Total number of candidates enrolled in five different institutes = 7500

Fig.(ii) Total number of candidates passed the examination from five Institutes = 4000

What is the pass percentage for institute Q? (correct up to one decimal place.)

A.
71.1%
B.
42.7%
C.
48%
D.
80%

12. SSC CGL 17th August Shift 3 - QA | Ages

The ratio of present ages of A and is 7 : 8. After 6 years from now, the ratio of their ages will be 8 : 9. If C's present age is 10 years more than the presentage of A, then the present age (in years) of C is:

A.
45
B.
52
C.
59
D.
56

13. SSC CGL 17th August Shift 3 - QA | Ratio, Proportion & Variation - SSC

A sports-goods shop has tennis balls of 3 colors - red, green and white. The number of white balls is 60% more than number of red balls and the number of green balls is 12.5% less than number of white balls. If total number of balls is 120, then how many green balls are there?

A.
48
B.
40
C.
42
D.
30

14. SSC CGL 17th August Shift 3 - QA | Simplification - SSC

If x² + 9y² + 4z² = 12(x - 2y + 2z) - 88, then the value of (x − 3y + z) is:

A.
11
B.
13
C.
10
D.
5

15. SSC CGL 17th August Shift 3 - QA | Time, Speed & Distance - SSC

A man can row a distance of 8 km downstream in a certain time and can row 6 km upstream in the same time. If he rows 24 km upstream and the same distance downstream in 1 $\frac{2}{4}$ hours, then the speed (in km/h) of the current is:

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

16. SSC CGL 17th August Shift 3 - QA | Trigonometry - SSC

If 7 cos² θ + 5 sin² θ - 6 = 0, (0° < θ < 90°), then what is the value of $\sqrt{\frac{\cos e c θ + \tan θ}{s e c θ - c o t θ}}$

A.
$\sqrt{2}$ + 1
B.
$\sqrt{2}$ - 1
C.
$\sqrt{3}$ + 1
D.
$\sqrt{3}$ - 1

17. SSC CGL 17th August Shift 3 - QA | Circles - SSC

In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. Length of the diameter of the circle (in cm) is:

A.
20
B.
22
C.
26
D.
13

18. SSC CGL 17th August Shift 3 - QA | Coordinate Geometry - SSC

Whatis the area of the square (in cm²) whose vertices lie on a circle of radius 5 cm?

A.
80
B.
50
C.
100
D.
75

19. SSC CGL 17th August Shift 3 - QA | Average, Mixture & Alligation - SSC

The average score of 40 students in a class test is 45. Later on, it was found that at two places 25 was read as 35 and at one place 38 wasread as 32, What is the actual average score of the class?

A.
43.80
B.
39.69
C.
45.35
D.
44.65

20. SSC CGL 17th August Shift 3 - QA | Simplification - SSC

Simplify the following expression.

$(\frac{7}{16} \div \frac{1}{2} of \frac{1}{5})$ × $\frac{4}{5}$ - $\frac{1}{3}$ × $\frac{5}{8}$ ÷ $\frac{1}{2}$ + $\frac{3}{4}$

A.
$\frac{23}{6}$
B.
$\frac{10}{3}$
C.
$\frac{317}{96}$
D.
$\frac{71}{150}$

21. SSC CGL 17th August Shift 3 - QA | Trigonometry - SSC

If 4 sin2 (2x - 10)° = 3, 0 ≤ (2x - 10) ≤ 90, then find the value of $\frac{\sin^{4} (x - 5) ° + \cos^{4} (x - 5) °}{1 - 2 \sin^{2} (3 x - 15) ° \cos^{2} (3 x - 15) °}$

A.
$\frac{5}{8}$
B.
-1
C.
1
D.
- $\frac{5}{8}$

22. SSC CGL 17th August Shift 3 - QA | Simplification - SSC

Simplify the following expression:

$\frac{108 \times 108 \times 108 - 92 \times 92 \times 92}{108 \times 108 + 92 \times 92 + 108 \times 92}$

A.
16
B.
-1
C.
1
D.
200

23. SSC CGL 17th August Shift 3 - QA | Trigonometry - SSC

The value of $\frac{\sqrt{2} \tan (60 ° - θ) \tan (30 ° + θ)}{\sin^{2} (45 ° + θ) + \sin^{2} (45 ° - θ)}$ is:

A.
$\sqrt{2}$
B.
2
C.
1
D.
$\frac{1}{\sqrt{2}}$

24. SSC CGL 17th August Shift 3 - QA | Simple & Compound Interest - SSC

A man borrowed a certain sum and agrees to repay it by paying ₹4000 atthe end of first year and ₹7700 at the end of second year. If the rate of compoundinterest compounded annually is 10% per annum,then find the sum (in ₹) borrowed.

A.
11000
B.
10000
C.
9000
D.
11500

25. SSC CGL 17th August Shift 3 - QA | Tables & Graphs - SSC

The following bar graph shows the demand and production (in Lakhs) of motor cycles of five different companies A, B, C, D and in 2020.

What is the ratio of total production of motor cycles of companies A, B, C, D and E, to that of the total demand of motorcycles of all the companies during the five years?

A.
52%
B.
30%
C.
45%
D.
65%

SSC CGL 17th August Shift 3 - QA

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