# SSC CHSL 3rd June Shift 3 - QA

**1. SSC CHSL 3rd June Shift 3 - QA | Coordinate Geometry - SSC**

If the areas of three adjacent faces of a cuboidal box are 729 cm^{2}, 529 cm^{2 }and 289 cm^{2}, respectively, then find the volume of the box.

- A.
10557 cm

^{3} - B.
10560 cm

^{3} - C.
10555 cm

^{3} - D.
10551 cm

^{3}

Answer: Option A

**Explanation** :

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**2. SSC CHSL 3rd June Shift 3 - QA | Number Theory - SSC**

Which of the following numbers is divisible by 3?

- A.
7865001

- B.
7803572

- C.
7803541

- D.
7803593

Answer: Option A

**Explanation** :

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**3. SSC CHSL 3rd June Shift 3 - QA | Simplification - SSC**

If a, b, c are positive real numbers, what is the value of $\sqrt{{a}^{-1}b}$ × $\sqrt{{b}^{-1}c}$ × $\sqrt{{c}^{-1}a}$

- A.
2

- B.
3

- C.
1

- D.
4

Answer: Option C

**Explanation** :

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**4. SSC CHSL 3rd June Shift 3 - QA | Percentage, Profit & Loss - SSC**

An authorised rice dealer purchases rice at ₹32 per kg and sells it at ₹40 per kg. But while selling, he is giving only 900 grams instead of 1 kg. Find the actual profit percentage of the dealer

(Correct to one decimal place)

- A.
37.8%

- B.
39.7%

- C.
39.8%

- D.
38.9%

Answer: Option D

**Explanation** :

The shopkeeper gives only 900 gms instead of 1 kg. The shopkeeper buys 900 gms and while selling he tells the customer that it is 1 kg.

Cost price of shopkeeper = 0.9 × 32 = Rs. 28.8

Selling price of shopkeeper = 1 × 10 = Rs. 40

∴ % profit = (40 - 28.8)/28.8 × 100 = 38.9%

Hence, option (d).

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**5. SSC CHSL 3rd June Shift 3 - QA | Percentage, Profit & Loss - SSC**

When the price of an article was reduced by 25%, its sale was increased by 75%. Calculate the net effect on revenue.

- A.
31.25% decrease

- B.
31.25% increase

- C.
39.75% increase

- D.
39.75% decrease

Answer: Option B

**Explanation** :

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**6. SSC CHSL 3rd June Shift 3 - QA | Average, Mixture & Alligation - SSC**

A person runs at an average speed of 20 km/h for 30 minutes and cycles at a speed of 32 km/h for 1 hour 15 minutes. Calculate the average speed (in km/h, rounded off to 1 decimal place).

- A.
30.5

- B.
28.6

- C.
25.4

- D.
26.3

Answer: Option B

**Explanation** :

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**7. SSC CHSL 3rd June Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average of 25 numbers is 18. The average of the first 12 of these numbers is 14 and that of the last 12 of these numbers is 17. The 13th number is:

- A.
80

- B.
78

- C.
74

- D.
82

Answer: Option B

**Explanation** :

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**8. SSC CHSL 3rd June Shift 3 - QA | Simplification - SSC**

2[8p + 5{n - 2{n - n + p} + 4p}]

- A.
76p + 10n

- B.
6p + 10n

- C.
7p + 6n

- D.
10p + 10n

Answer: Option A

**Explanation** :

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**9. SSC CHSL 3rd June Shift 3 - QA | Ratio, Proportion & Variation - SSC**

In a school, students using school bus, bike and bicycle for transport are in the proportion 6 : 3 : 1. If the total strength of the school is 1200, find the number of students who use bicycle for transport. (Each student uses only one of the given 3 modes of transport)

- A.
120

- B.
180

- C.
240

- D.
100

Answer: Option A

**Explanation** :

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**10. SSC CHSL 3rd June Shift 3 - QA | Triangles - SSC**

Which of the following options does NOT give the lengths of three sides of any triangle?

- A.
12, 18, 25

- B.
18, 23, 41

- C.
7, 10, 12

- D.
4, 7, 9

Answer: Option B

**Explanation** :

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**11. SSC CHSL 3rd June Shift 3 - QA | Simplification - SSC**

The value of the expression

1800 ÷ 10 {(18 − 6) + [−2 (1 + 2)]} is:

- A.
20

- B.
1080

- C.
30

- D.
1008

Answer: Option C

**Explanation** :

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**12. SSC CHSL 3rd June Shift 3 - QA | Tables & Graphs - SSC**

Study the following pie-chart carefully, which shows a state government's expenditure (% allocation) on various sectors during the year 2019. If ₹27 million were spent on transport in 2019, what would have been the total expenses (in million) of the given state government in that year considering mentioned sectors only?

- A.
160

- B.
140

- C.
150

- D.
130

Answer: Option C

**Explanation** :

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**13. SSC CHSL 3rd June Shift 3 - QA | Average, Mixture & Alligation - SSC**

In a class there are 26 boys and 24 girls. The Math teacher administered a test and found that the average score of the whole class is 85.If the average score of the boys was 82, find the average score of the girls.

- A.
82

- B.
88.25

- C.
85

- D.
87.5

Answer: Option B

**Explanation** :

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**14. SSC CHSL 3rd June Shift 3 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper buys a note book for ₹85. He wants a profit of 20% after giving a discount of 15%. At what price should he mark the note book?

- A.
₹105

- B.
₹110

- C.
₹115

- D.
₹120

Answer: Option D

**Explanation** :

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**15. SSC CHSL 3rd June Shift 3 - QA | Coordinate Geometry - SSC**

Taking π = 3.14, find the volume of a cylinder having its radius of base as 5 cm and its height as 24 cm.

- A.
1526 cm

^{3} - B.
1848 cm

^{3} - C.
1256 cm

^{3} - D.
1884 cm

^{3}

Answer: Option D

**Explanation** :

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**16. SSC CHSL 3rd June Shift 3 - QA | Trigonometry - SSC**

What is the value of the expression 100(sin 15° cos 15)?

- A.
50

- B.
75

- C.
100

- D.
25

Answer: Option D

**Explanation** :

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**17. SSC CHSL 3rd June Shift 3 - QA | Triangles - SSC**

The perimeter of an isosceles triangle is 80 cm. If the side that is not equal in length to any of the other two sides is 20 cm, find the length of each of the equal sides.

- A.
25 cm

- B.
20 cm

- C.
40 cm

- D.
30 cm

Answer: Option D

**Explanation** :

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**18. SSC CHSL 3rd June Shift 3 - QA | Percentage, Profit & Loss - SSC**

A number is first increased by 25% and then decreased by 10%. If the resulting number is 72, what is the original number?

- A.
75

- B.
84

- C.
64

- D.
56

Answer: Option C

**Explanation** :

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**19. SSC CHSL 3rd June Shift 3 - QA | Tables & Graphs - SSC**

The table given below provides information about the marks obtained by a group of students in a test.

What is total number of students in the group?

- A.
20

- B.
10

- C.
8

- D.
31

Answer: Option B

**Explanation** :

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**20. SSC CHSL 3rd June Shift 3 - QA | Simple & Compound Interest - SSC**

A sum of money becomes ₹2,000 in 3 years and ₹2,400 in 4 years, at the certain rate of yearly compound interest in case of annual compounding. Find the yearly rate of compound interest.

- A.
20%

- B.
10%

- C.
15%

- D.
25%

Answer: Option A

**Explanation** :

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**21. SSC CHSL 3rd June Shift 3 - QA | Time, Speed & Distance - SSC**

A boat’s speed in still water is 22 km/h, while the river is flowing with a speed of 8 km/h and the time taken to cover a certain distance upstream is 4 hours more than the time taken to cover the same distance downstream. Find the distance.

- A.
105 km

- B.
110 km

- C.
115 km

- D.
125 km

Answer: Option A

**Explanation** :

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**22. SSC CHSL 3rd June Shift 3 - QA | Tables & Graphs - SSC**

The following table gives the age of the children in a class of a school. Find the number of children in the class whose age is below 11 years but above 8 years.

- A.
42

- B.
28

- C.
40

- D.
57

Answer: Option D

**Explanation** :

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**23. SSC CHSL 3rd June Shift 3 - QA | Simplification - SSC**

If X + $\frac{1}{x}$ = -3$\sqrt{2}$ (X⁵ + $\frac{1}{{x}^{5}}$)

- A.
-715$\sqrt{2}$

- B.
-717$\sqrt{2}$

- C.
-723$\sqrt{2}$

- D.
-720$\sqrt{2}$

Answer: Option B

**Explanation** :

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**24. SSC CHSL 3rd June Shift 3 - QA | Time & Work - SSC**

Ram and Shawan working together can complete a job in 5 hours, where as Ram alone can complete the same job in 6 hours. In how many hours can Shawan alone complete the job?

- A.
30

- B.
20

- C.
35

- D.
25

Answer: Option A

**Explanation** :

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**25. SSC CHSL 3rd June Shift 3 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper offers the following four schemes. Which scheme has the maximum discount percentage?

a) Two successive discounts of 22% and 25%

b) Buy 3, get 2 free

c) Buy 5, get 4 free

d) Buy 4, get 3 free

- A.
a

- B.
b

- C.
d

- D.
c

Answer: Option D

**Explanation** :

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