SSC CHSL 26th May Shift 3 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 26th May Shift 3 - QA | Simplification - SSC

Simplify the following expression.

9 $\frac{1}{5}$ ÷ {(16 $\frac{1}{5}$ ÷ $12 \frac{2}{3} - 9 \frac{2}{3}$ ) + 17 $\frac{1}{2}$ of 3 $\frac{1}{21}$ }

A.
$\frac{139}{881}$
B.
$\frac{137}{881}$
C.
$\frac{140}{881}$
D.
$\frac{138}{881}$

2. SSC CHSL 26th May Shift 3 - QA | Circles - SSC

If the diameter of a solid hemisphere is 14 cm, then what will be its total surface area?

( π = 22/7)

A.
462
B.
362
C.
486
D.
261

3. SSC CHSL 26th May Shift 3 - QA | Time & Work - SSC

A and B working separately can do a piece of work in 21 and 24 days, respectively. If they work for a day alternately with A beginning the work, it would be completed in _________.

A.
24 $\frac{1}{8}$ days
B.
21 $\frac{3}{8}$ days
C.
22 $\frac{3}{8}$
D.
22 $\frac{1}{8}$ days

4. SSC CHSL 26th May Shift 3 - QA | Ratio, Proportion & Variation - SSC

The third proportional to 81 and 27 is:

A.
8
B.
6
C.
7
D.
9

5. SSC CHSL 26th May Shift 3 - QA | Percentage, Profit & Loss - SSC

The marked price of a study table is ₹3,200. It will be offered for ₹2,448 after two successive discounts. If the first discount is 10%, the second discount is:

A.
13%
B.
10%
C.
15%
D.
18%

6. SSC CHSL 26th May Shift 3 - QA | Simple Equation - SSC

If the 3-digit number 2 x 3 is divisible by 3, then the value of x² + x is (consider the maximum value of x):

A.
7
B.
20
C.
56
D.
2

7. SSC CHSL 26th May Shift 3 - QA | Tables & Graphs - SSC

A given bar chart shows the heights of seven hills. Study the graph and answer the question that follows.

Which hill is the third highest?

A.
H₃
B.
H2
C.
H₇
D.
H₅

8. SSC CHSL 26th May Shift 3 - QA | Percentage, Profit & Loss - SSC

In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1710 votes. How many voters were enrolled?

A.
20000
B.
21000
C.
19000
D.
20500

9. SSC CHSL 26th May Shift 3 - QA | Circles - SSC

15 identical solid spherical balls of radius 5 cm are melted to form a single sphere. In this process, 35% of the mass is wasted. What is the radius (in cm) of the single sphere that is now formed? [Use π = 22/7, and give your answer correct to two decimal places.]

A.
12.68 cm
B.
16.68 cm
C.
10.68 cm
D.
34.68 cm

10. SSC CHSL 26th May Shift 3 - QA | Simplification - SSC

If $(X + \frac{1}{x})$ = $\frac{11}{5}$ , what is the value of $(X^{3} + \frac{1}{x^{3}})$ ?

A.
4 $\frac{6}{125}$
B.
5 $\frac{101}{125}$
C.
10 $\frac{81}{125}$
D.
17 $\frac{31}{125}$

11. SSC CHSL 26th May Shift 3 - QA | Coordinate Geometry - SSC

The side of a square is 5 cm. If the side is doubled, by how many times will the area of the square increase?

A.
3 times
B.
2 times
C.
5 times
D.
4 times

12. SSC CHSL 26th May Shift 3 - QA | Time, Speed & Distance - SSC

A bus goes to Mumbai from Delhi at the speed of 60 km/h for 60% of the journey, and covers the remaining part of its journeyat the speed of 70 km/h. What is the average speed of the bus (in km/h) during the entire journey under consideration?

A.
67
B.
64
C.
66
D.
65

13. SSC CHSL 26th May Shift 3 - QA | Tables & Graphs - SSC

The following table shows the production of five types of cars by a company for the years 2012 to 2015 .

Which type of car constituted 30% of all cars produced by the company during 2013 ?

A.
D4
B.
D1
C.
D3
D.
D2

14. SSC CHSL 26th May Shift 3 - QA | Percentage, Profit & Loss - SSC

A manufacturer sells an item to a wholesale dealer at a profit of 11%. The wholesaler sells the same to a retailer at a profit of 15%. The retailer in turn sells it to a customer for ₹17,045, thereby earning a profit of 19%. The cost price of the manufacturer is
(consider integral part only):

A.
₹13,520
B.
₹15,020
C.
₹10,200
D.
₹11,220

15. SSC CHSL 26th May Shift 3 - QA | Average, Mixture & Alligation - SSC

In an examination, the average marks of 60 girls is 15 and the average marks of 40 boys is 30. The average marks of the group in which the boys and girls are taken together is:

A.
15
B.
21
C.
24
D.
60

16. SSC CHSL 26th May Shift 3 - QA | Simple Equation - SSC

If 1 + x² + x² = 585 and 1 - x + x² = 65, then find the value of 1 + x + x.

A.
8
B.
7
C.
6
D.
9

17. SSC CHSL 26th May Shift 3 - QA | Average, Mixture & Alligation - SSC

A grocer has a sale of ₹8,435, ₹8,927, ₹8,855, ₹9,230 and ₹8,562 in 5 consecutive weeks. How much sale must he have in the 6th week so that he gets an average sale of ₹8,500?

A.
₹7009
B.
₹6997
C.
₹6991
D.
₹7011

18. SSC CHSL 26th May Shift 3 - QA | Time, Speed & Distance - SSC

Ram is travelling at a speed of 72 km per hour while Shyam is travelling at a speed of 90 km per hour. What is the difference in their speeds (in metres per second)?

A.
5
B.
4
C.
6
D.
7

19. SSC CHSL 26th May Shift 3 - QA | Percentage, Profit & Loss - SSC

A tractor is sold after allowing three successive discounts of 10%, 5% and 2%. If the marked price of the tractor is Rs 4,88,000, find its net selling price.

A.
Rs 5,08,895.2
B.
Rs 4,49,895.06
C.
Rs 4,18,895.45
D.
Rs 4,08,895.2

20. SSC CHSL 26th May Shift 3 - QA | Simple Equation - SSC

If a = 2022, b = 2021 and c = 2020, then value of a² + b² + c² - ab - b9 - ca is:

A.
2
B.
4
C.
3
D.
1

21. SSC CHSL 26th May Shift 3 - QA | Tables & Graphs - SSC

The pie-chart given below shows the monthly expenditures made by a family under different heads as percentages of the total monthly income of the family. If the total monthly income of the family is (₹70,000, then what is the monthly expenditure incurred by the family on house rent?

A.
₹9,600
B.
₹9,500
C.
₹9,700
D.
₹9,800

22. SSC CHSL 26th May Shift 3 - QA | Simple & Compound Interest - SSC

Calculate the difference between the compound interest and the simple interest on a sum of ₹5,000 at the rate of 8% for 3 years. (to nearest ₹)

A.
₹108
B.
₹105
C.
₹102
D.
₹99

23. SSC CHSL 26th May Shift 3 - QA | Circles - SSC

Two parallel chords are drawn in a circle of diameter 10 m. The length of one chord is 8 m and the distance between the two chords is 6 m. Find the length of the other chord.

A.
10 m
B.
6 m
C.
4 m
D.
8 m

24. SSC CHSL 26th May Shift 3 - QA | Trigonometry - SSC

Evaluate the following expression:

3 tan 245° + 2 cos 60° - 2 sin 30°

A.
3
B.
4
C.
0
D.
2

25. SSC CHSL 26th May Shift 3 - QA | Percentage, Profit & Loss - SSC

If the price of rice is raised by 20%, then by what percentage should a person reduce his consumption of rice so that his expenditure remains the same? (correct to one decimal place)

A.
14.7%
B.
18.7%
C.
16.7%
D.
12.7%

SSC CHSL 26th May Shift 3 - QA

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