# SSC CHSL 1st June Shift 3 - QA

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

The following pie chart shows the expenditure inccured by a person during a period under different heads as percentage of the total expenditure incurred by the person during the same period.

What is the ratio of the expenditure incurred by the person on food and on rent ?

- A.
4 : 3

- B.
8 : 3

- C.
3 : 4

- D.
5 : 2

Answer: Option C

**Explanation** :

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**2. SSC CHSL 1st June Shift 3 - QA | Circles - SSC**

The length of the tangent drawn to a circle of radius 12 cm from a point 18 cm away from the centre of the circle is:

- A.
$3\sqrt{5}$ cm

- B.
$6\sqrt{5}$ cm

- C.
$9\sqrt{5}$ cm

- D.
$2\sqrt{5}$ cm

Answer: Option B

**Explanation** :

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

A single discount equivement to two successive discount of 20% and 10% on the marked price of an article is

- A.
18%

- B.
28%

- C.
24%

- D.
22%

Answer: Option B

**Explanation** :

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

The average of 25 numbers is 13. If the average of the first 13 numbers is 11.5 and the average of the last 13 numbers is 14.5, then the middle number is:

- A.
17

- B.
19

- C.
13

- D.
21

Answer: Option C

**Explanation** :

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

If the volume of a cube is 64 cm^{3}, then find its total surface area.

- A.
96 cm

^{2} - B.
82 cm

^{2} - C.
88 cm

^{2} - D.
64 cm

^{2}

Answer: Option A

**Explanation** :

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**6. SSC CHSL 1st June Shift 3 - QA | Simplification - SSC**

If x + y + z = 25 , x^{3} + y^{3} + z^{3} = 85 and xyz = 20, then find the value of x^{2} + y^{2} + z^{2} - xy - yz - zx.

- A.
2

- B.
1

- C.
4

- D.
3

Answer: Option B

**Explanation** :

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

A student's marks were incorrectly entered as 94 instead of 69. Due to this error, the average marks of the class got increased by 1.25. What is the number of students in the class?

- A.
15

- B.
25

- C.
20

- D.
22

Answer: Option C

**Explanation** :

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**8. SSC CHSL 1st June Shift 3 - QA | Trigonometry - SSC**

The value of $\frac{\mathrm{sin}4\theta}{(1-\mathrm{cos}4\theta )}$

- A.
cot θ

- B.
cot 2θ

- C.
tan θ

- D.
tan 2θ

Answer: Option B

**Explanation** :

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**9. SSC CHSL 1st June Shift 3 - QA | Tables & Graphs - SSC**

The profits earned (in crores of rupees) by the two cellular companies in five consecutive years are given in table below.

In which year was the difference in nominal profits earned by Company A and Company B the maximum?

- A.
1993-94

- B.
1994-95

- C.
1992-93

- D.
1991-92

Answer: Option D

**Explanation** :

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

Shyamal covers 1 km in 10 min, whereas Radha covers the same distance in 8 min. By what distance does Radha beat Shyamal?

- A.
300 m

- B.
400 m

- C.
200 m

- D.
500 m

Answer: Option C

**Explanation** :

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

The sum of the first 78 natural numbers from 1 to 78 is divisible by

- A.
79

- B.
61

- C.
29

- D.
30

Answer: Option A

**Explanation** :

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

The monthly income of two persons is in the ratio 4:5 and their expenditures are in the ratio 7:9. If each saves ₹50 per month, then their monthly incomes are:

- A.
₹400; ₹500

- B.
₹700; ₹900

- C.
₹900; ₹500

- D.
₹400; ₹700

Answer: Option A

**Explanation** :

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**13. SSC CHSL 1st June Shift 3 - QA | Tables & Graphs - SSC**

**Study the given table and answer the question that follow.**

The following: table gives the month- wise number of different types of scooters produced by a company during the first six months of 1992.

What is the total number of scooters of all the four types taken together that was produced by the company during the first six months of 1992 ?

- A.
623

- B.
197

- C.
90

- D.
143

Answer: Option A

**Explanation** :

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

The population of a country has been declining at 1% every decade. If the projected population of the country in 2030 is given as 1940598, what was the population of the country in 2000?

- A.
2000000

- B.
1999990

- C.
2000450

- D.
2000616

Answer: Option A

**Explanation** :

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

Giri bought an old machine for ₹2,000 and spent ₹500 on its repair. He sold it for ₹4,000. His profit percentage is:

- A.
30%

- B.
60%

- C.
40%

- D.
20%

Answer: Option B

**Explanation** :

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

If the length of a cuboid is 20 m, breadth is 5 m and height is 4 m, then find the length of diagonal of the cuboid.

- A.
12 m

- B.
21 m

- C.
18 m

- D.
24 m

Answer: Option B

**Explanation** :

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**17. SSC CHSL 1st June Shift 3 - QA | Simplification - SSC**

If x = 32, y = 33 and z = 35, then evaluate the expression x^{3} + y^{3} + z^{3} - 3xyz.

- A.
1120

- B.
1000

- C.
900

- D.
700

Answer: Option D

**Explanation** :

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

In what ratio must a shopkeeper mix two types of rice worth ₹60 per kg and ₹80 per kg, so that the average cost of the mixture is ₹75 per kg?

- A.
1 : 3

- B.
1 : 2

- C.
2 : 3

- D.
3 : 2

Answer: Option A

**Explanation** :

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**19. SSC CHSL 1st June Shift 3 - QA | Time & Work - SSC**

A can do $\frac{1}{5}$ of the work in 3 days and B can do $\frac{1}{4}$ of the work in 7.5 days. Working together, A and B can do $\frac{4}{5}$ of the same work in:

- A.
9 days

- B.
10 days

- C.
8 days

- D.
12 days

Answer: Option C

**Explanation** :

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**20. SSC CHSL 1st June Shift 3 - QA | Simplification - SSC**

What is the value of $\left(1\frac{1}{4}\xf72\frac{3}{5}\xf71\frac{7}{13}\right)$ ?

- A.
$\frac{7}{16}$

- B.
$\frac{5}{16}$

- C.
$\frac{4}{13}$

- D.
$\frac{5}{11}$

Answer: Option B

**Explanation** :

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

The monthly income of a person was Rs12,000 and his monthly expenditure was Rs10,000. In the next year, his income increased by 12% and his expenditure by 5%. Find the percentage increase in his savings.

- A.
48%

- B.
45%

- C.
47%

- D.
46%

Answer: Option C

**Explanation** :

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**22. SSC CHSL 1st June Shift 3 - QA | Simplification - SSC**

If $\left(X+\frac{1}{x}\right)$ = 8.5, what is the value of $\left({X}^{2}+\frac{1}{{x}^{2}}\right)$

- A.
70.25

- B.
74.25

- C.
72.25

- D.
75.25

Answer: Option A

**Explanation** :

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

A shopkeeper gives a discount of 25% on a purse. If he gives a discount of 37%, he earns ₹120 less in profit. Find the marked price.

- A.
₹1,200

- B.
₹1,000

- C.
₹1,220

- D.
₹1,500

Answer: Option B

**Explanation** :

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**24. SSC CHSL 1st June Shift 3 - QA | Circles - SSC**

The volume of a sphere is 8 times that of another sphere. What is the ratio of the surface area of the bigger sphere to that of the other?

- A.
8 : 1

- B.
1 : 4

- C.
1 : 8

- D.
4 : 1

Answer: Option D

**Explanation** :

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

Three numbers A, B and C are in the ratio of 15 : 21 : 27. The ratio of the difference between B and A to the difference between C and B is:

- A.
1 : 1

- B.
42 : 43

- C.
41 : 42

- D.
10 : 11

Answer: Option A

**Explanation** :

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