SSC CGL Previous Year Question Paper 18th August Shift 1 | QA | Quantitative Ability questions | CGL Past Year Papers

1. SSC CGL 18th August Shift 1 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The total number of students passed from school Q in 2014 and 2018 is what percent less than the total number of students appeared from schools R and S in 2017?

A.
42.9%
B.
30%
C.
25%
D.
35.4%

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

If 3 sin² θ - cos θ - 1 = 0, 0° < θ < 90°, then what is the value of cot θ + cosec θ?

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

3. SSC CGL 18th August Shift 1 - QA | Lines & Angles - SSC

Point P lies outside a circle with centre O. Tangents PA and PB are drawn to meetthe circle at A and respectively. If ∠APB = 80°, then ∠OAB is equal to:

A.
70°
B.
40°
C.
140°
D.
35°

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

If x⁴ + y⁴ + x²y² = 21 and x² + y² - xy = 7, then what is the value of $\frac{x}{y}$ + $\frac{y}{x}$ ?

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

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

Simplify the following expression.

$\frac{{(375 + 125)}^{2} - {(125 - 375)}^{2}}{375 \times 375 - 125 \times 125}$

A.
$\frac{15}{8}$
B.
$\frac{3}{2}$
C.
$\frac{27}{28}$
D.
$\frac{3}{4}$

6. SSC CGL 18th August Shift 1 - QA | Ratio, Proportion & Variation - SSC

Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

A.
4 : 3
B.
3 : 2
C.
11 : 5
D.
8 : 9

7. SSC CGL 18th August Shift 1 - QA | Circles - SSC

Chord AB of circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P, then the length of the tangent AP (in cm) is:

A.
7.5
B.
4
C.
3.75
D.
15

8. SSC CGL 18th August Shift 1 - QA | Tables & Graphs - SSC

Study the following table and answer the question:
Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The ratio of the total number of students appeared from school Q in 2017 and from school S$ in 2018 to the total number of students passed from school R in 2018 and school T in 2014, is:

A.
16 : 9
B.
25 : 21
C.
5 : 7
D.
7 : 8

9. SSC CGL 18th August Shift 1 - QA | Tables & Graphs - SSC

The following Bar Graphs represent the Export of Tea (in lakh tonnes) by two companies A and B during the years 2010 to 2015.
Study the chart and answer the question written below:
(Note: The data shown below is only for mathematical exercise. They do not represent the actual figures).

What is the ratio of the total exports of company B in 2011 and 2014 to the total exports of company A in 2012 and 2015?

A.
55 : 68
B.
68 : 55
C.
29 : 37
D.
37 : 29

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

The value of (sin 37° cos 53° + cos 37° sin 53°) - $\frac{4 \cos^{2} 37 ° - 7 + 4 \cos^{2} 53 °}{\tan^{2} 47 ° + 4 - \cos e c^{2} 43 °}$ is:

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

11. SSC CGL 18th August Shift 1 - QA | Number Theory - SSC

If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y). for the maximum value of y?

A.
19
B.
23
C.
27
D.
15

12. SSC CGL 18th August Shift 1 - QA | Percentage, Profit & Loss - SSC

In an examination, 45% of all the students who appeared are boys and therest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?

A.
36
B.
40
C.
35.4
D.
34.5

13. SSC CGL 18th August Shift 1 - QA | Simple Equation - SSC

If x + y = 3 and $\frac{1}{x}$ + $\frac{1}{y}$ = - $\frac{3}{10}$ , then the value of (x² + y²) is:

A.
29
B.
28
C.
26
D.
34

14. SSC CGL 18th August Shift 1 - QA | Time & Work - SSC

A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a work man as C, then in what time will B alone do 40% of the same work?

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

15. SSC CGL 18th August Shift 1 - 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. (2012 to 2020)

What is the difference between the average of the number of boys in the Commerce stream for the 5 years and the average of the number of girls in the Arts stream for the 5 years?

A.
40
B.
10
C.
8
D.
12

16. SSC CGL 18th August Shift 1 - QA | Simple & Compound Interest - SSC

What is the difference (in ₹) between the simple interest and the compound interest on a sum of ₹8000 for 2 $\frac{2}{5}$ years at the rate of 10% p.a., when the interest is compounded yearly?

A.
147.20
B.
152.80
C.
155
D.
150

17. SSC CGL 18th August Shift 1 - QA | Average, Mixture & Alligation - SSC

The average of x occurring 5 times and y occurring 7 times is 37. Also, the average of x occurring 7 times and y occurring 5 times is 35. The value of y is:

A.
45
B.
42
C.
30
D.
27

18. SSC CGL 18th August Shift 1 - QA | Percentage, Profit & Loss - SSC

A trader sells an article at 16% below its cost price. Had he sold it for ₹192.20 more, he would have gained 15%. The cost price (in ₹)of the article is:

A.
620
B.
680
C.
720
D.
640

19. SSC CGL 18th August Shift 1 - QA | Circles - SSC

The perimeter of a semi-circle is 25.7 cm. Whatis its diameter (in cm)?

(π = 3.14)

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

20. SSC CGL 18th August Shift 1 - QA | Lines & Angles - SSC

AB is a chord of a circle in minor segment with center O.C is a point on the minorarc of the circle between the points A and B. The tangents to the circle at A and B meetat the point P. If ∠ACB = 102°, then what is the measure of ∠APB?

A.
29°
B.
27°
C.
23°
D.
24°

21. SSC CGL 18th August Shift 1 - QA | Percentage, Profit & Loss - SSC

A shopkeeper marked every item 25%abovethe cost price and allowed 10% discount. Shruti being a regular customer got 5% additional discount onthe bill and paid ₹2394 for the item purchased. What is the cost price of the item (in ₹)?

A.
2240
B.
2440
C.
2220
D.
2420

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

Find the value of sin⁴ 30° + cos⁴ 30° - sin 25° cos 65° - sin 65° cos 25°

A.
- $\frac{3}{8}$
B.
0
C.
$\frac{5}{8}$
D.
$\frac{13}{8}$

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

The value of 18 ÷ [26 − {25 − (15 − 5) ÷ 2}] of 12 + 2 − 2 ÷ 4 × 16 is:

A.
- $\frac{23}{4}$
B.
$\frac{3}{2}$
C.
$\frac{9}{4}$
D.
- $\frac{25}{2}$

24. SSC CGL 18th August Shift 1 - QA | Triangles - SSC

△ABC ∼ △DEF. If the areas of △ABC and △DEF are 100 cm² and 81 cm², respectively and the altitude of △DEF is 6.3 cm, then the corresponding altitude of △ABC is:

A.
9 cm
B.
5.6 cm
C.
7 cm
D.
8.4 cm

25. SSC CGL 18th August Shift 1 - QA | Time, Speed & Distance - SSC

Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hourslowerthan his usual speed?

A.
2h 45m
B.
2h 30m
C.
2h
D.
2h 15m

SSC CGL 18th August Shift 1 - QA

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