SSC CGL Previous Year Question Paper 19th April Shift 1 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 19th April Shift 1 - QA | Tables & Graphs - SSC

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
What is the maximum change percentage in the number of cars as compared to the previous hour? ( correct to 2 decimal places)

A.
Decrease of 52.63%
B.
Increase of 55.56%
C.
Increase of 58.5%
D.
Decrease of 58.5%

2. SSC CGL 19th April Shift 1 - QA | Simplification - SSC

If a³ + b³ = 218 and a + b =2, then the value of $\sqrt{1 - a b}$ is:

A.
3
B.
4
C.
5
D.
6

3. SSC CGL 19th April Shift 1 - QA | Simple & Compound Interest - SSC

A sum of ₹18,000 becomes ₹21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in ₹) on the same sum for the same period if the rate of interest increases by 5%?

A.
5,500
B.
1,845
C.
5,805
D.
4,670

4. SSC CGL 19th April Shift 1 - QA | Time & Work - SSC

14 men can complete a work in 15 days. If 21 men are employed, then in how many days will they complete the same work?

A.
14
B.
10
C.
12
D.
15

5. SSC CGL 19th April Shift 1 - QA | Percentage, Profit & Loss - SSC

A invested 30% more than B. B invested 40% less than C. who invested ₹8,000. The average of the total amount invested by all of them together (to the nearest ₹) is:

A.
6,215
B.
6,417
C.
6,143
D.
6,347

6. SSC CGL 19th April Shift 1 - QA | Lines & Angles - SSC

The length of the shadow on the ground of a tall tree of height 30 m is 10 $\sqrt{3}$ m. What is the angle (in degrees) of elevation of the sun?

A.
30
B.
15
C.
45
D.
60

7. SSC CGL 19th April Shift 1 - QA | Percentage, Profit & Loss - SSC

The profit earned by selling an article for ₹832 is equal to the loss incurred when the article is sold for ₹448. What should be the selling price (in ₹) to make a profit of 10%?

A.
750
B.
704
C.
640
D.
715

8. SSC CGL 19th April Shift 1 - QA | Coordinate Geometry - SSC

From the body of a solid cube of edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be 163 $\frac{1}{3}$ cm³. What is the diameter (in cm) of the sphere?

A.
5
B.
10
C.
8
D.
7

9. SSC CGL 19th April Shift 1 - QA | Ratio, Proportion & Variation - SSC

Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

A.
60
B.
57
C.
69
D.
75

10. SSC CGL 19th April Shift 1 - QA | Percentage, Profit & Loss - SSC

A shopkeeper offers his customers a discount of 10%. On an item marked at a price of ₹400, which was a little damaged, he offered additional discount of 10%. At what price (in ₹) is the item available to customers?

A.
324
B.
300
C.
340
D.
320

11. SSC CGL 19th April Shift 1 - QA | Lines & Angles - SSC

In the following figure, MN is a tangent to a circle with centre O at point A. If BC is a diameter and ∠ABC = 42°, then find the measure of ∠MAB.

A.
84°
B.
42°
C.
48°
D.
45°

12. SSC CGL 19th April Shift 1 - QA | Average, Mixture & Alligation - SSC

Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?

A.
84
B.
45
C.
189
D.
63

13. SSC CGL 19th April Shift 1 - QA | Number Theory - SSC

If each of the two numbers $5^{16}$ and $5^{25}$ are divided by 6, the remainders are $R_{1}$ and $R_{2}$ , respectively. What is the value of $\frac{R_{1} + R_{2}}{R_{2}}$ ?

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

14. SSC CGL 19th April Shift 1 - QA | Trigonometry - SSC

If A = 60°, what is the value of:

$\frac{10 \sin \frac{A}{2} + 8 \cos A}{7 \sin \frac{3 A}{2} - 12 \cos A}$ ?

A.
9
B.
10
C.
12
D.
7

15. SSC CGL 19th April Shift 1 - QA | Simplification - SSC

If x + y + z = 7, xy + yz + zx = 8, then what is the value of x³ + y³ + z³ - 3xyz?

A.
175
B.
125
C.
150
D.
200

16. SSC CGL 19th April Shift 1 - QA | Simplification - SSC

The value of

$\frac{[\frac{3}{8} - \{\frac{3}{8} - (\frac{5}{8} - \frac{3}{8})\}] of 4.8 - 0.9}{4 \frac{1}{6} \div 2.5 \times 0.2 \div \frac{1}{5} of 50 + (\frac{3}{4} - \frac{1}{8})}$ is :

A.
$\frac{30}{79}$
B.
$\frac{36}{79}$
C.
$\frac{42}{79}$
D.
$\frac{24}{79}$

17. SSC CGL 19th April Shift 1 - QA | Triangles - SSC

Let △ABC − △QPR and (Area of △ABC) : (Area of △PQR) = 121 : 64. If QP = 14.4 cm, PR = 12 cm and AC = 18 cm, then what is the length of AB?

A.
19.8 cm
B.
32.4 cm
C.
21.6 cm
D.
16.2 cm

18. SSC CGL 19th April Shift 1 - QA | Triangles - SSC

In a △ABC, D, E and Fare the mid-points of side BC, CA and AB respectively. If BC = 14.4 cm, CA = 15.2 cm and AB= 12.4 cm, what is the perimeter (in cm) of the △DEF?

A.
35
B.
28
C.
42
D.
21

19. SSC CGL 19th April Shift 1 - QA | Tables & Graphs - SSC

A vegetable vendor supplies vegetables to a housing complex of 50 families. On a particular day, the break-up sale of vegetables is represented in the form of a pie chart as shown.
Study the pie chart carefully and answer the question that follows.

What is the ratio of the central angle corresponding to the sale of potatoes, tomatoes and beans together to the central angle corresponding to the combined sale of onions and others?

A.
15 : 13
B.
13 : 15
C.
11 : 13
D.
13 : 11

20. SSC CGL 19th April Shift 1 - QA | Circles - SSC

PQ and RS are two parallel chords of a circle of length 14 cm and 48 cm. respectively, and lie on the same side of the centre O. If the distance between the chords is 17 cm, what is the radius (i.n cm) of the circle?

A.
25
B.
24
C.
28
D.
20

21. SSC CGL 19th April Shift 1 - QA | Tables & Graphs - SSC

Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.

What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports of cars of type B in 2014 and 2017?

A.
25 : 16
B.
10 : 9
C.
23 : 20
D.
11 : 10

22. SSC CGL 19th April Shift 1 - QA | Time, Speed & Distance - SSC

A takes 3 hours more than B to walk 'd' km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require to walk ' d' km?

A.
9
B.
8
C.
5
D.
4

23. SSC CGL 19th April Shift 1 - QA | Trigonometry - SSC

If 3 sin² θ + 4 cos θ - 4 = 0, 0° < θ < 90°, then the value of (cosec² θ + cot² θ) is

A.
$\frac{17}{9}$
B.
$\frac{4}{3}$
C.
$\frac{25}{3}$
D.
$\frac{5}{4}$

24. SSC CGL 19th April Shift 1 - QA | Tables & Graphs - SSC

The following pie charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020, respectively.
Students studying humanities in 2019 and 2020 taken together is what percentage of the total number of students studying during the two years taken together? (correct to 2 decimal places)

Academic year 2019 Academic year 2020

A.
19.19%
B.
19.91%
C.
18.75%
D.
18.52%

25. SSC CGL 19th April Shift 1 - QA | Percentage, Profit & Loss - SSC

A man started off a business with a certain capital amount. In the first year, he earned 60% profit and donated 50% of the total capital (initial amount + profit). He followed the same procedure with the remaining capital after the second and the third year. If at the end of the three years, he is left with ₹15,360. what was the initial amount (in ₹) with which the man started his business?

A.
25,000
B.
32,000
C.
30,000
D.
20,000

SSC CGL 19th April Shift 1 - QA

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