SSC CGL Previous Year Question Paper 19th April Shift 3 | QA | Quantitative Aptitude questions | CGL Past Year Papers

1. SSC CGL 19th April Shift 3 - QA | Circles - SSC

The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:

A.
810000
B.
250000
C.
440000
D.
360000

2. SSC CGL 19th April Shift 3 - QA | Simplification - SSC

Find the value of the following expression:

A.
$\frac{4}{3}$
B.
$- \frac{1}{7}$
C.
$\frac{1}{7}$
D.
$- \frac{4}{3}$

3. SSC CGL 19th April Shift 3 - QA | Trigonometry - SSC

If cot²α + tan² α = 2, 0° ≤ α ≤ 90°, then find the value of a

A.
90°
B.
60°
C.
0°
D.
45°

4. SSC CGL 19th April Shift 3 - QA | Lines & Angles - SSC

What is the angle of elevation of the sun when the shadow of a 9-m high pole is 3 $\sqrt{3}$ m long?

A.
45°
B.
90°
C.
60°
D.
30°

5. SSC CGL 19th April Shift 3 - QA | Tables & Graphs - SSC

The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = ReceiptsExpenditure. In which year did the company gain the maximum amount?

A.
2017
B.
2020
C.
2016
D.
2018

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

What is the compound interest (in ₹) at the rate of 10%, compounded annually, for 3 years on the principal which in 8years at the rate of 12% per annum gives ₹14,800 as simple interest?

A.
1,455
B.
1,505
C.
2,045
D.
1,655

7. SSC CGL 19th April Shift 3 - QA | Tables & Graphs - SSC

The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350 and the maximum marks of the test are 200.
Study the graph and answer the question that follows.

The total number of students whose marks are less than 100 is what percentage (correct up to one place of decimal) less than the total number of students whose marks are 120 and above?

A.
43.2%
B.
36.6%
C.
51.8%
D.
32.7%

8. SSC CGL 19th April Shift 3 - QA | Time & Work - SSC

20 men can finish a work in 30 days. They started working, but 4 men left the work after 10 days. In how many days would the work be completed?

A.
35
B.
25
C.
30
D.
28

9. SSC CGL 19th April Shift 3 - QA | Percentage, Profit & Loss - SSC

Two successive discounts of 20% and 25% on the marked price of an article are equal to a single discount of ₹250. If the marked price of the article is 25% above the cost price, the cost price (in ₹) of the article is:

A.
500
B.
600
C.
550
D.
450

10. SSC CGL 19th April Shift 3 - QA | Tables & Graphs - SSC

Performance of 1800 students in grades has been shown in the following pie chart.
How many students have got either grade D or grade E?:

A.
345
B.
352
C.
359
D.
342

11. SSC CGL 19th April Shift 3 - QA | Simple Equation - SSC

If (x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³, then find the value of k.

A.
10.5
B.
10
C.
11
D.
8

12. SSC CGL 19th April Shift 3 - QA | Tables & Graphs - SSC

The bar graph shows the number of people who visited Mall A and Mall B on different days of a week.

What is the ratio of the number of people visiting Mall A on Thursday. Saturday and Sunday together to the number of people visiting Mall B on these three days together?

A.
25 : 27
B.
81 : 80
C.
27 : 25
D.
80 : 81

13. SSC CGL 19th April Shift 3 - QA | Triangles - SSC

In a triangle ABC, the bisector of angle BAC meets BC at point D such that DC = 2BD. If AC - AB = 5 cm, then find the length of AB (in cm).

A.
12
B.
10
C.
7
D.
5

14. SSC CGL 19th April Shift 3 - QA | Percentage, Profit & Loss - SSC

A shopkeeper bought 60 pencils at a rate of 4 for ₹5 and another 60 pencils at a rate of 2 for ₹3. He mixed all the pencils and sold them at a rate of 3 for ₹4. Find his gain or loss percentage.

A.
Loss 3 $\frac{1}{33}$ %
B.
Profit 2 $\frac{7}{8}$ %
C.
Loss 2 $\frac{7}{8}$ %
D.
Profit 3 $\frac{1}{8}$ %

15. SSC CGL 19th April Shift 3 - QA | Circles - SSC

In a circle with centre O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17 cm, then find the difference in lengths of the two chords (in cm).

A.
12
B.
24
C.
10
D.
14

16. SSC CGL 19th April Shift 3 - QA | Percentage, Profit & Loss - SSC

A and B entered into a partnership with certain investments. At the end of 8 months, A withdrew and collected back his money. A and B received profit in the ratio 5 : 9 at the end of the year. If B bad invested ₹36,000, then how much (in ₹) had A invested?

A.
36,000
B.
20,000
C.
25,000
D.
30,000

17. SSC CGL 19th April Shift 3 - QA | Percentage, Profit & Loss - SSC

A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?

A.
111
B.
121
C.
120
D.
100

18. SSC CGL 19th April Shift 3 - QA | Trigonometry - SSC

Simplify the following expression:

$\frac{\cos A}{1 - \tan A}$ + $\frac{\sin A}{1 - c o t A}$ - sin A

A.
1 + sin A
B.
cos A
C.
(1 + sin A) cos A
D.
1 + cos A

19. SSC CGL 19th April Shift 3 - QA | Triangles - SSC

In a right-angled triangle, the lengths of the medians from the vertices of acute angles are 7 cm and 4 $\sqrt{6}$ cm. What is the length of the hypotenuse of the triangle (in cm)?

A.
3.5 + 2 $\sqrt{6}$
B.
2 $\sqrt{29}$
C.
$\sqrt{29}$
D.
$\frac{5}{2}$ $\sqrt{29}$

20. SSC CGL 19th April Shift 3 - QA | Number Theory - SSC

Find the greatest 3-digit number which , when divided by 3, 4, 5 and 8, leaves remainder 2 in each case.

A.
958
B.
122
C.
962
D.
482

21. SSC CGL 19th April Shift 3 - QA | Average, Mixture & Alligation - SSC

The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh numbers is:

A.
43.5
B.
44.5
C.
41.5
D.
45.5

22. SSC CGL 19th April Shift 3 - QA | Lines & Angles - SSC

AB is a chord of a circle with centre O.C is a point on the circumference of the circle in the minor sector. If ∠ABO = 40°. what
is the measure (in degree) of ∠ACB?

A.
110°
B.
100°
C.
130°
D.
120°

23. SSC CGL 19th April Shift 3 - QA | Simple Equation - SSC

If a + b + c = 11 and ab + bc + ca = 28 , then find the value of a³ + b³ + c³ - 3abc.

A.
407
B.
2255
C.
1639
D.
1093

24. SSC CGL 19th April Shift 3 - QA | Time, Speed & Distance - SSC

Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).

A.
18 $\frac{1}{5}$
B.
16 $\frac{4}{5}$
C.
17 $\frac{1}{2}$
D.
17 $\frac{1}{7}$

25. SSC CGL 19th April Shift 3 - QA | Number Theory - SSC

Find the value of k such that the number k53206k is divisible by 6.

A.
7
B.
1
C.
4
D.
2

SSC CGL 19th April Shift 3 - QA

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