# SSC CHSL 26th May Shift 3 - QA

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

Simplify the following expression.

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

- A.
$\frac{139}{881}$

- B.
$\frac{137}{881}$

- C.
$\frac{140}{881}$

- D.
$\frac{138}{881}$

Answer: Option D

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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%

Answer: Option C

**Explanation** :

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**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 x^{2} + x is (consider the maximum value of x):

- A.
7

- B.
20

- C.
56

- D.
2

Answer: Option C

**Explanation** :

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**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.
H

_{3} - B.
H2

- C.
H

_{7} - D.
H

_{5}

Answer: Option C

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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

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

- A.
4$\frac{6}{125}$

- B.
5$\frac{101}{125}$

- C.
10$\frac{81}{125}$

- D.
17$\frac{31}{125}$

Answer: Option A

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option B

**Explanation** :

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**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

Answer: Option B

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option B

**Explanation** :

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

If 1 + x^{2} + x^{2} = 585 and 1 - x + x^{2} = 65, then find the value of 1 + x + x.

- A.
8

- B.
7

- C.
6

- D.
9

Answer: Option D

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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

If a = 2022, b = 2021 and c = 2020, then value of a^{2} + b^{2} + c^{2} - ab - b9 - ca is:

- A.
2

- B.
4

- C.
3

- D.
1

Answer: Option C

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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%

Answer: Option C

**Explanation** :

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