# SSC CHSL 30th May Shift 1 - QA

**1. SSC CHSL 30th May Shift 1 - QA | Triangles - SSC**

If AB = QR, BC = PR and CA = PQ, then

- A.
△PQR ≅ △BCA

- B.
△ABC ≅ △PQR

- C.
△CBA ≅ △PRQ

- D.
△BAC ≅ △RPQ

Answer: Option C

**Explanation** :

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**2. SSC CHSL 30th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

In a decade, a town's population grew from 1,75,000 to 2,62,500. What is the average annual percentage increase in population?

- A.
8%

- B.
3%

- C.
5%

- D.
10%

Answer: Option C

**Explanation** :

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**3. SSC CHSL 30th May Shift 1 - QA | Circles - SSC**

Find the surface area of a sphere of diameter 21 cm.

(Use π = 22/7)

- A.
988 cm

^{2} - B.
1234 cm

^{2} - C.
1445 cm

^{2} - D.
1386 cm

^{2}

Answer: Option D

**Explanation** :

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**4. SSC CHSL 30th May Shift 1 - QA | Time, Speed & Distance - SSC**

A train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours. Find the distance between the two stations

- A.
220 km

- B.
234 km

- C.
185 km

- D.
215 km

Answer: Option B

**Explanation** :

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**5. SSC CHSL 30th May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

In a bag, black tablet covers and white tablet covers are in the ratio 5:9. If there are 450 white tablet covers, how many black tablet covers are there in the bag?

- A.
200

- B.
275

- C.
225

- D.
250

Answer: Option D

**Explanation** :

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**6. SSC CHSL 30th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is:

- A.
64

- B.
63

- C.
62

- D.
61

Answer: Option D

**Explanation** :

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**7. SSC CHSL 30th May Shift 1 - QA | Tables & Graphs - SSC**

Study the given table and answer the question that follows.

The combined expenses on food and on labour is what percentage of the total expenses on all the four items taken together?

- A.
40%

- B.
15%

- C.
25%

- D.
50%

Answer: Option D

**Explanation** :

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**8. SSC CHSL 30th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

Anil offers his customer a discount of 15% on a T-shirt and he still makes a profit of 25%. What is the actual cost of the T-shirt marked ₹500?

- A.
₹340

- B.
₹330

- C.
₹350

- D.
₹360

Answer: Option A

**Explanation** :

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**9. SSC CHSL 30th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

A family consists of two grandparents, two parents and four grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 9 years. What is the average age of the family?

- A.
40 years

- B.
30 years

- C.
36 years

- D.
****45 years

Answer: Option B

**Explanation** :

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**10. SSC CHSL 30th May Shift 1 - QA | Coordinate Geometry - SSC**

Find the total surface area of a cuboid whose length is 20 cm, width is 15 cm, and height is 8 cm.

- A.
1160 cm

^{2} - B.
990 cm

^{2} - C.
1120 cm

^{2} - D.
1080 cm

^{2}

Answer: Option A

**Explanation** :

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**11. SSC CHSL 30th May Shift 1 - QA | Coordinate Geometry - SSC**

The diagonal of a cube is 24 cm. Find its total surface area.

- A.
1152 cm

^{2} - B.
1252 cm

^{2} - C.
1100 cm

^{2} - D.
1366 cm

^{2}

Answer: Option A

**Explanation** :

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**12. SSC CHSL 30th May Shift 1 - QA | Number Theory - SSC**

The sum of two numbers is 17 and their product is 34.Find the sum of their squares.

- A.
224

- B.
221

- C.
225

- D.
222

Answer: Option B

**Explanation** :

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**13. SSC CHSL 30th May Shift 1 - QA | Time & Work - SSC**

A container is normally filled in 5 hours. However, it takes 6 hours when there is a leak at the bottom. If the container is full, in what time would the leak empty it, if no water is allowed into the container during that period?

- A.
5 h

- B.
6 h

- C.
15 h

- D.
30 h

Answer: Option D

**Explanation** :

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**14. SSC CHSL 30th May Shift 1 - QA | Number Theory - SSC**

When two numbers are separately divided by 44, the remainders are 11 and 38, respectively. If the sum of the two numbers is divided by 44, then the remainder will be:

- A.
16

- B.
44

- C.
33

- D.
5

Answer: Option D

**Explanation** :

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**15. SSC CHSL 30th May Shift 1 - QA | Trigonometry - SSC**

If tan θ + cot θ = 4, then find the value of tan^{2}θ + cot^{2}θ.

- A.
10

- B.
12

- C.
16

- D.
14

Answer: Option D

**Explanation** :

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**16. SSC CHSL 30th May Shift 1 - QA | Simple & Compound Interest - SSC**

Find the compound interest on ₹40,000 after 2 years 6 months at 20% per annum, if the interest is compounded half-yearly.

- A.
₹24,820.40

- B.
₹25,520

- C.
₹24,420.40

- D.
₹24,920.40

Answer: Option C

**Explanation** :

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**17. SSC CHSL 30th May Shift 1 - QA | Simple Equation - SSC**

If 8 × 3 + 27y^{3} + 64z^{3} = 72xyz, then the relation between x, y and z can be:

- A.
2x + 3y = −4z

- B.
2x + y + z = 0

- C.
2x - 3y + 4z = 0

- D.
2x + 3y = 4z

Answer: Option A

**Explanation** :

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**18. SSC CHSL 30th May Shift 1 - QA | Tables & Graphs - SSC**

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

The table shows the number of different drinks purchased by customers in three different seasons.

Which of the following is the most favourite drink of the people in winter?

- A.
B

- B.
A

- C.
D

- D.
C

Answer: Option C

**Explanation** :

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**19. SSC CHSL 30th May Shift 1 - QA | Number Theory - SSC**

If the formula for converting degrees Fahrenheit to degrees Celsius is C = $\frac{5}{9}$(F - 32), what is the value of F when C is 30?

- A.
86

- B.
$-\frac{10}{9}$

- C.
$-\frac{9}{10}$

- D.
54

Answer: Option A

**Explanation** :

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**20. SSC CHSL 30th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shoe manufacturing company offers 3 types of discount schemes to its customers:

(i) 20% and 12%

(ii) 25% and 5%

(iii) 30% and 3%

at different stages of sales. Find the best scheme for the customer

- A.
Only Scheme (iii)

- B.
Only Scheme (i)

- C.
Only Scheme (ii)

- D.
Both Schemes (i) and (ii)

Answer: Option A

**Explanation** :

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**21. SSC CHSL 30th May Shift 1 - QA | Tables & Graphs - SSC**

Study the given graph and answer the following question.

As per data available in the table above. what was the aproximate percentage increase the percentage of the population affected by cold in 2020 when compared to the percentage of the population affected by cold in 1990?

- A.
43%

- B.
70%

- C.
233%

- D.
333%

Answer: Option C

**Explanation** :

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**22. SSC CHSL 30th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

Rahul bought 20 dozen toys at a cost of ₹375 each dozen. He sold each of them for ₹33. The profit percentage is:

- A.
5.6

- B.
6

- C.
4.7

- D.
5

Answer: Option A

**Explanation** :

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**23. SSC CHSL 30th May Shift 1 - QA | Simple & Compound Interest - SSC**

The value of a machine depreciates every year by 10%. If its present value is ₹35,000, then the value of the machine after 2 years will be:

- A.
₹28,350

- B.
₹27,225

- C.
₹28,000

- D.
₹27,750

Answer: Option A

**Explanation** :

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**24. SSC CHSL 30th May Shift 1 - QA | Simplification - SSC**

The value of $\frac{\left[{(5.4)}^{3}-0.064\right]}{\left[{(5.4)}^{2}+2.16+0.16\right]}$

- A.
5

- B.
7

- C.
3

- D.
1

Answer: Option A

**Explanation** :

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**25. SSC CHSL 30th May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

A beaker contains a mixture of two liquids X and Y in the ratio 5 : 3. When 6 litres of the mixture is drawn off and then replaced with Y, the ratio of X and Y becomes 5 : 7.

How many litres of liquid X was contained in the beaker initially?

- A.
18.25

- B.
22.5

- C.
11.25

- D.
15.5

Answer: Option C

**Explanation** :

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