SSC CGL Previous Year Question Paper 16th August Shift 3 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 16th August Shift 3 - QA | Average, Mixture & Alligation - SSC

The average height of some studentsin a groupis 156 cm.If 5 students of average height 160 cm join the group. then the averageheight ofall the students in the group increases by 0.8 cm. What is the numberof students in the group, initially?

A.
10
B.
15
C.
20
D.
25

2. SSC CGL 16th August Shift 3 - QA | Triangles - SSC

In △ABC, DE || AB, where D and E are the points on sides AC and BC, respectively. If AD = x - 3, AC = 2x, BE = x - 2 and BC = 2x + 3, then what is the value of x?

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

3. SSC CGL 16th August Shift 3 - QA | Tables & Graphs - SSC

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years.

By what percent is the total number of boys in Arts stream more than the total number of boys in Science stream in the years 2012 to 2020?

A.
5
B.
4 $\frac{16}{21}$
C.
0
D.
4 $\frac{18}{41}$

4. SSC CGL 16th August Shift 3 - QA | Simple & Compound Interest - SSC

A certain sum amounts to ₹291600 in 2 years and to ₹314928 in 3 years on compound interest compounded annually. How much will be the simple interest (in ₹) on ₹40000 at the same rate for 2 years?

A.
6400
B.
8000
C.
7500
D.
9600

5. SSC CGL 16th August Shift 3 - QA | Tables & Graphs - SSC

The following Bar Graph represents the Production of Fertilizers by Company A and Company B (in 10000 tonne) Over the Years from 2005 to 2010. The X-axis represents the years, and the Y-axis represents the Production of Fertilizers (in 10000 tonne).
(Note: The data shown below is only for mathematical exercise. They do not represent the actual figures of the companies)

What is the average production (in 10000 tonne) of fertilizers in 2008, 2009 and 2010 of Company A?

A.
600
B.
570
C.
590
D.
620

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

If sin $(\frac{2 A + B}{2})$ = cos $(\frac{2 A - B}{2})$ = $\frac{\sqrt{3}}{2}$ , 0° < $\frac{2 A + B}{2}$ < 90° and 0° < $\frac{2 A + B}{2}$ < 90° then find the value of sin[3(A - B)].

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

7. SSC CGL 16th August Shift 3 - QA | Tables & Graphs - SSC

The given bar graph shows the imports and exports (in crore 2) of steel for 5 years from 2014 to 2018.

What is the ratio of average export to average import over the five years?

A.
247 : 109
B.
247 : 218
C.
109 : 247
D.
218 : 247

8. SSC CGL 16th August Shift 3 - QA | Tables & Graphs - SSC

In a factory, there are 39 workers who have been categorised into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of ₹100), It is ensured that the daily wage of no worker is an exact multiple of ₹100. The distribution is presented through the given histogram.

If two Managers are engaged to supervise the workers, with daily wages ranging between ₹700 and ₹800, then what will be the average daily wage (nearest to a ₹) of all members of staff of the factory?

A.
₹445
B.
₹400
C.
₹455
D.
₹467

9. SSC CGL 16th August Shift 3 - QA | Percentage, Profit & Loss - SSC

A shopkeeper allows 16% discount on every item. Even after giving the discount, he makes a profit of 8%. If he gives 8% discount instead of 16% on an item marked for ₹1800, then what will be his profit percent? (correct to 2 decimal places)

A.
19
B.
18.31
C.
18
D.
18.29

10. SSC CGL 16th August Shift 3 - QA | Simple Equation - SSC

If x + y = 2 and $\frac{1}{x}$ + $\frac{1}{y}$ = $\frac{18}{5}$ , then the value of (x³ + y³) is:

A.
4 $\frac{2}{3}$
B.
4 $\frac{3}{5}$
C.
3 $\frac{1}{5}$
D.
3 $\frac{1}{3}$

11. SSC CGL 16th August Shift 3 - QA | Simplification - SSC

The value of 25 ÷ 15 of 4 × [4 ÷ 5 × (9 − 7)] − (20 ÷ 5 of 9) is:

A.
$\frac{2}{3}$
B.
$\frac{1}{3}$
C.
$\frac{2}{9}$
D.
$\frac{4}{9}$

12. SSC CGL 16th August Shift 3 - QA | Simple Equation - SSC

If p - 2q = 3 and pq = 5, then what is the value of (p³ - 8q³)?

A.
-63
B.
72
C.
117
D.
27

13. SSC CGL 16th August Shift 3 - QA | Time, Speed & Distance - SSC

A boat goes 27 km upstream and 33 km downstream in 6 hours. In the same time it can go 36 km upstream and 22 km downstream, How much time will it take to go 36 km upstream and 44 km down stream?

A.
8 h 30 m
B.
8 h 10 m
C.
8 h
D.
7 h 50 m

14. SSC CGL 16th August Shift 3 - QA | Circles - SSC

In a circle with centre O, AB and CDare twoparallel chords on the sameside of the diameter. If AB = 12 cm, CD = 18 cm and distance between the chords AB and CD is 3 cm, then find the radius of the circle (in cm).

A.
12
B.
3 $\sqrt{13}$
C.
15
D.
9

15. SSC CGL 16th August Shift 3 - QA | Simple Equation - SSC

If x² + y² = 53 and x - 2y = 5, then what is the value of x³ - 8y³?

A.
155
B.
335
C.
-85
D.
85

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

The value of 4(sin⁴ 30° + cos⁴ 30°) - 3(sin² 45° - 2 cos² 45°) is:

A.
0
B.
4
C.
2
D.
1

17. SSC CGL 16th August Shift 3 - QA | Time & Work - SSC

Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for ₹4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in ₹) was paid to Ashok?

A.
800
B.
1500
C.
750
D.
1071

18. SSC CGL 16th August Shift 3 - QA | Triangles - SSC

In △ABC, D is the mid-point of side AC and E is a point on side AB such that EC bisects BD at F. If AE = 30 cm, then the length of EB is:

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

19. SSC CGL 16th August Shift 3 - QA | Triangles - SSC

△ABC is incribed in a circle with center O, such that ∠ACB = 115°. O is joined to A. What is the measure of ∠OAB?

A.
25°
B.
20°
C.
35°
D.
30°

20. SSC CGL 16th August Shift 3 - QA | Percentage, Profit & Loss - SSC

A trader bought twoarticles for ₹490. Hesold one at a loss of 20% and the other at a profit of 16%.If the selling price of both articles is same, then the cost price (in ₹) of the article sold at 20% loss is:

A.
310
B.
300
C.
290
D.
280

21. SSC CGL 16th August Shift 3 - QA | Percentage, Profit & Loss - SSC

If a number is first increased by 15%, then reduced by 15%, it results in 782. If the same numberis first reduced by 25%, then increased by 25%and again reduced by 20%, then what will be the resulting number?

A.
712
B.
150
C.
750
D.
600

22. SSC CGL 16th August Shift 3 - QA | Ratio, Proportion & Variation - SSC

Fourth proportion to 12, 18, and 6 is same as the third proportion to k and 6. What is the value of k?

A.
3 $\sqrt{6}$
B.
4
C.
13.5
D.
3

23. SSC CGL 16th August Shift 3 - QA | Number Theory - SSC

Find the difference between squares of the greatest value and the smallest value of P if the number 5306P2 is divisible by 3.

A.
6
B.
36
C.
68
D.
60

24. SSC CGL 16th August Shift 3 - QA | Coordinate Geometry - SSC

The area of a square shaped field is 1764 m². The breadth ofa rectangular park is $\frac{1}{3}$ rd the side of the square field and its length is twotimesits breadth. Whatis the cost (in ₹) of levelling the park at ₹15 per m²?

A.
4290
B.
4200
C.
5880
D.
4320

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

The value of $\frac{\tan^{2} 30 ° + \sin^{2} 90 ° + c o t^{2} 60 ° + \sin^{2} 30 ° \cos^{2} 45 °}{\sin 60 ° \cos 30 ° - \cos 60 ° \sin 30 °}$ is:

A.
$\frac{47}{12}$
B.
$\frac{37}{12}$
C.
$\frac{43}{12}$
D.
$\frac{25}{12}$

SSC CGL 16th August Shift 3 - QA

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