# SSC CHSL 3rd June Shift 1 - QA

**1. SSC CHSL 3rd June Shift 1 - QA | Number Theory - SSC**

If the 9-digit number 5p42978n6 is divisible by 72, what is the value of (2p - 1), where n is the second largest of all the possible values of n? Given that p and n are natural numbers.

- A.
17

- B.
21

- C.
15

- D.
11

Answer: Option C

**Explanation** :

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**2. SSC CHSL 3rd June Shift 1 - QA | Tables & Graphs - SSC**

Study the following graph which shows imports and exports (in ₹ crores) of a company during 2006-07 to 2010-11 and answer the question.

In which of the following years was (Imports-Exports) minimum?

- A.
2010-11

- B.
2009-10

- C.
2008-09

- D.
2006-07

Answer: Option B

**Explanation** :

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

If the length of the diagonal of a cube is $6\sqrt{3}$ cm, then the length of the edge of the cube is:

- A.
6 cm

- B.
4 cm

- C.
2 cm

- D.
3 cm

Answer: Option A

**Explanation** :

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**4. SSC CHSL 3rd June Shift 1 - QA | Triangles - SSC**

The height of a right circular cone is 6 cm and its base diameter is 16 cm. Find the volume of this cone.

- A.
384π cm

^{3} - B.
786π cm

^{3} - C.
128π cm

^{3} - D.
512π cm

^{3}

Answer: Option C

**Explanation** :

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**5. SSC CHSL 3rd June Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Champa buys type 1 sugar at ₹45 per kg. He mixes it with type 2 sugar having a price of ₹48 per kg. The final mixture becomes worth ₹46 per kg. What is the ratio of the quantities of type 1 sugar to type 2 sugar in the final mixture?

- A.
1 : 2

- B.
2 : 3

- C.
3 : 2

- D.
2 : 1

Answer: Option D

**Explanation** :

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**6. SSC CHSL 3rd June Shift 1 - QA | Trigonometry - SSC**

If cosec θ + cot θ = 5, then cosec θ is equal to _________.

- A.
$\left(5+\frac{1}{5}\right)$

- B.
$\frac{1}{2}\left(3+\frac{1}{3}\right)$

- C.
$\frac{1}{2}\left(5+\frac{1}{5}\right)$

- D.
$\left(3+\frac{1}{3}\right)$

Answer: Option C

**Explanation** :

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**7. SSC CHSL 3rd June Shift 1 - QA | Percentage, Profit & Loss - SSC**

A retailer offers the following discount schemes for an article to his customers.

**A. **Two equal successive discounts of 15% .

**B.** Two successive discounts of 12% and 18%.

**C.** Buy 7 articles and get 3 free.

Which scheme is favourable to a customer? (assuming buys articles in a multiple of 10)

- A.
Only A

- B.
Only C

- C.
Both A and C are the same

- D.
Only B

Answer: Option B

**Explanation** :

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**8. SSC CHSL 3rd June Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average of 16 numbers is 23. The average of the first 7 numbers is 21 and that of the last 8 numbers is 24. Find the 8th number.

- A.
28

- B.
27

- C.
29

- D.
26

Answer: Option C

**Explanation** :

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

If a solid piece of iron in the form of a cuboid, of dimensions 49 cm 33 cm 24 cm, is moulded to form a solid sphere, then the radius of the sphere is ______.

[Use π = 22/7]

- A.
16 cm

- B.
10 cm

- C.
18 cm

- D.
21 cm

Answer: Option D

**Explanation** :

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**10. SSC CHSL 3rd June Shift 1 - QA | Time, Speed & Distance - SSC**

The ratio of the distances Ravina and Suhel had to travel from their respective houses to their workplaces was 4 : 7. If Suhel had to travel 63 km, how much did Ravina have to travel?

- A.
40 km

- B.
32 km

- C.
39 km

- D.
36 km

Answer: Option D

**Explanation** :

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**11. SSC CHSL 3rd June Shift 1 - QA | Percentage, Profit & Loss - SSC**

64% of the students of a class are girls and 81.25% of the girls have chosen soccer as their favourite sport. If 143 girls have chosen soccer as their favourite sport, what is the total number of students in the class?

- A.
270

- B.
280

- C.
300

- D.
275

Answer: Option D

**Explanation** :

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**12. SSC CHSL 3rd June Shift 1 - QA | Tables & Graphs - SSC**

The table below gives the profit/loss of a company during each of five consecutive year. Study this table and answer the question that follows.

[**Note:** A negative value will denote a loss.]

What was the total profit or loss of the company during the last three year given in the table, taken together?

- A.
Profit of Rs.25 lakhs

- B.
Loss of Rs.20 lakhs

- C.
Profit of Rs.40 lakhs

- D.
Profit of Rs.20 lakhs

Answer: Option D

**Explanation** :

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**13. SSC CHSL 3rd June Shift 1 - QA | Simplification - SSC**

Simplify:

450 + 752 - 125 × -$\frac{3}{100}$ of 1000 - {650 ÷ (16 - 3)}

- A.
3200

- B.
2598

- C.
-3750

- D.
-2598

Answer: Option D

**Explanation** :

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**14. SSC CHSL 3rd June Shift 1 - QA | Percentage, Profit & Loss - SSC**

A woman sold her earphone for ₹2,000 and got a percentage profit equal to the numerical value of cost price. The cost price of the earphone is:

- A.
₹ 500

- B.
₹ 200

- C.
₹ 600

- D.
₹ 400

Answer: Option D

**Explanation** :

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**15. SSC CHSL 3rd June Shift 1 - QA | Simple & Compound Interest - SSC**

A sum of money amounts to ₹4,624 in 2 years and to ₹4,913 in 3 years at a certain rate of interest, when interest is compounded per annum. The sum is _______.

- A.
₹4,412

- B.
₹4,335

- C.
₹4,260

- D.
₹4,096

Answer: Option D

**Explanation** :

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**16. SSC CHSL 3rd June Shift 1 - QA | Simplification - SSC**

If x + $\frac{1}{x}$ = 10, then find the value of $\frac{7x}{{x}^{2}+1-8x}.$

- A.
3.5

- B.
4.5

- C.
2.5

- D.
5.5

Answer: Option A

**Explanation** :

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**17. SSC CHSL 3rd June Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price of a laptop is ₹50,000.A shopkeeper gives the following four schemes of discount to his customers. Which one is more beneficial to the customers?

i) Discount of ₹10,000

ii) Discount of flat 25%

iii) Discount of 10% of 10%

iv) Discount of 15% of 10%

- A.
i

- B.
iv

- C.
ii

- D.
iii

Answer: Option C

**Explanation** :

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**18. SSC CHSL 3rd June Shift 1 - QA | Time, Speed & Distance - SSC**

Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to complete one round. After how much time did they meet at the starting point for the first time since the race started?

- A.
4200 sec

- B.
2400 sec

- C.
3600 sec

- D.
1800 sec

Answer: Option C

**Explanation** :

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**19. SSC CHSL 3rd June Shift 1 - QA | Percentage, Profit & Loss - SSC**

In an election between two candidates, 15% of the voters did not cast their votes and 10% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 6120 votes. The number of voters enrolled on the voters list was:

- A.
70000

- B.
80000

- C.
72000

- D.
75000

Answer: Option B

**Explanation** :

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**20. SSC CHSL 3rd June Shift 1 - QA | Simple Equation - SSC**

If x - 2y = 3 and 2xy = 5, then find the value of (x + 2y)^{2}.

- A.
29

- B.
27

- C.
30

- D.
28

Answer: Option A

**Explanation** :

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**21. SSC CHSL 3rd June Shift 1 - QA | Simplification - SSC**

If a² + b² + $\frac{1}{{a}^{2}}$ + $\frac{1}{{b}^{2}}$ = 4, a ≠ 0, b ≠ 0, then the value of ${a}^{4}$ + ${b}^{4}$ is:

- A.
32

- B.
256

- C.
64

- D.
2

Answer: Option D

**Explanation** :

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**22. SSC CHSL 3rd June Shift 1 - QA | Tables & Graphs - SSC**

A die is thrown 1,000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 a nd 6 as given in the following table. How many times is the number appearing on the die greater than or equal to 5?

- A.
365

- B.
535

- C.
190

- D.
356

Answer: Option A

**Explanation** :

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**23. SSC CHSL 3rd June Shift 1 - QA | Average, Mixture & Alligation - SSC**

A group of 36 students has an average present age of 14 years. When the age of the teacher is included, the average age rises by one. Calculate the teacher's age (in years).

- A.
53

- B.
54

- C.
52

- D.
51

Answer: Option D

**Explanation** :

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**24. SSC CHSL 3rd June Shift 1 - QA | Ratio, Proportion & Variation - SSC**

If ABC is a triangle in which DE ‖ BC and AD ∶ DB = 9 ∶ 8, then DE : BC is _________.

- A.
9 : 17

- B.
9 : 15

- C.
8 : 17

- D.
9 : 13

Answer: Option A

**Explanation** :

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**25. SSC CHSL 3rd June Shift 1 - QA | Time & Work - SSC**

Manoj and his wife Swathi fill a tank with water fetched from a well. Manoj fetches 5 litres of water in 4 minutes whereas Swathi fetches 4 litres of water in 5 minutes. Find the time taken by them together to fetch 205 litres of water.

- A.
2 hours

- B.
80 minutes

- C.
100 minutes

- D.
1 hour 30 minutes

Answer: Option C

**Explanation** :

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