# SSC CHSL 27th May Shift 1 - QA

**1. SSC CHSL 27th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price of a mobile phone is ₹36,000.A shopkeeper gives a discount of 11% on the marked price. Further, if a customer purchases it through credit card the discount increases by 15%. Pooja purchases it through the credit card. How much does she pay?

- A.
₹31,000

- B.
₹32,000

- C.
₹30,880

- D.
₹30,600

Answer: Option D

**Explanation** :

Since Pooja paid through credit card she will get a discount of 15% on marked price i.e., 15% of Rs. 36,000 = 5,400

∴ Price she needs to pay = 36,000 - 5,400 = Rs. 30,600

Hence, option (d).

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**2. SSC CHSL 27th May Shift 1 - QA | Simplification - SSC**

Simplify the folowing expression.

- A.
38

- B.
76

- C.
170

- D.
19

Answer: Option D

**Explanation** :

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**3. SSC CHSL 27th May Shift 1 - QA | Circles - SSC**

What is the surface area of a sphere whose diameter is 16.8 cm?

[Use π = 22/7]

- A.
877.04 cm

^{2} - B.
888.04 cm

^{2} - C.
878.04 cm

^{2} - D.
887.04 cm

^{2}

Answer: Option D

**Explanation** :

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**4. SSC CHSL 27th May Shift 1 - QA | Time, Speed & Distance - SSC**

Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.

- A.
13 km/h

- B.
21 km/h

- C.
15 km/h

- D.
18 km/h

Answer: Option A

**Explanation** :

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**5. SSC CHSL 27th May Shift 1 - QA | Number Theory - SSC**

Which of the following numbers is divisible by 33?

- A.
178750

- B.
164461

- C.
185592

- D.
171116

Answer: Option C

**Explanation** :

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**6. SSC CHSL 27th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A mobile is marked at a price 25% above its cost price. At what discount percentage should it be sold to make a 10% profit?

- A.
10%

- B.
11%

- C.
12%

- D.
13%

Answer: Option C

**Explanation** :

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**7. SSC CHSL 27th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average weight of 52 girls is 47 kg. What will be the sum of their weights?

- A.
2544 kg

- B.
2458 kg

- C.
2454 kg

- D.
2444 kg

Answer: Option D

**Explanation** :

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**8. SSC CHSL 27th May Shift 1 - QA | Circles - SSC**

As air is pumped into a spherical balloon, its radius increases from 7 cm to 14 cm.

Find the ratio of volume of the balloon's in both circumstances.

- A.
2 : 5

- B.
1 : 9

- C.
1 : 8

- D.
3 : 7

Answer: Option C

**Explanation** :

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**9. SSC CHSL 27th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average age of a man and his son is 56 years. The ratio of their ages is 11 : 5. What is the son's age?

- A.
40 years

- B.
35 years

- C.
30 years

- D.
32 years

Answer: Option B

**Explanation** :

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**10. SSC CHSL 27th May Shift 1 - QA | Tables & Graphs - SSC**

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

The graph shows the number of appeared candidates and passed candidates (in hundreds') in a test from six different institutions.

From which institution is the difference between the appeared candidates and passed candidates the maximum?

- A.
A

- B.
D

- C.
C

- D.
B

Answer: Option B

**Explanation** :

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**11. SSC CHSL 27th May Shift 1 - QA | Simple & Compound Interest - SSC**

A loan is to be repaid in two equal yearly installments. If the rate of interest is 10% per annum, compounded annually, and each installment is ₹6,897, then find the total interest charged.

- A.
₹1,644

- B.
₹1,824

- C.
₹1,914

- D.
₹1,734

Answer: Option B

**Explanation** :

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**12. SSC CHSL 27th May Shift 1 - QA | Trigonometry - SSC**

The value of $\frac{\mathrm{sin}4\theta +\mathrm{sin}2\theta}{\mathrm{cos}4\theta +\mathrm{cos}2\theta}$ is:

- A.
tan 3θ

- B.
cot 3θ

- C.
tan θ

- D.
cot θ

Answer: Option A

**Explanation** :

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**13. SSC CHSL 27th May Shift 1 - QA | Coordinate Geometry - SSC**

Calculate the area of the quadrilateral formed with the vertices (-3,2),(5,4),(7,-6) and (-5,-4).

- A.
80 square units

- B.
160 square units

- C.
0 square units

- D.
150 square units

Answer: Option A

**Explanation** :

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**14. SSC CHSL 27th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper normally makes a profit of 20% in a certain transaction; he weighs 900 g instead of 1 kg, due to an issue with the weighing machine. If he charges 10% less than what he normally charges, what is his actual profit or loss percentage?

- A.
20%

- B.
28%

- C.
25%

- D.
30%

Answer: Option A

**Explanation** :

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**15. SSC CHSL 27th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

Admissions into a commerce course of a university increase by 5% every year. If the number of admissions presently is 2400 into that course, after three years, the number of admissions is Nearest to an integer :

- A.
2778

- B.
2770

- C.
2775

- D.
2780

Answer: Option A

**Explanation** :

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**16. SSC CHSL 27th May Shift 1 - QA | Ratio, Proportion & Variation - SSC**

The fourth proportional to 5, 8 and 30 is:

- A.
50

- B.
60

- C.
48

- D.
90

Answer: Option C

**Explanation** :

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**17. SSC CHSL 27th May Shift 1 - QA | Simple Equation - SSC**

If x^{2} + 4y^{2} = 40, xy = 6$$, and x > 2y, then the value of x - 2y is:

- A.
1

- B.
3

- C.
2

- D.
4

Answer: Option D

**Explanation** :

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**18. SSC CHSL 27th May Shift 1 - QA | Tables & Graphs - SSC**

The following Bar Chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019.

Study the cha11s carefully and answer the question that follows:

For the years 2014 to 2019, what is the ratio of the total number of students enrolled for Summer Camp A to that for Summer Camp B?

- A.
47 : 31

- B.
31 : 47

- C.
41 : 37

- D.
37 : 41

Answer: Option B

**Explanation** :

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**19. SSC CHSL 27th May Shift 1 - QA | Tables & Graphs - SSC**

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

The table shows the number of students doing various courses in various cities.

Which city has maximum number of student?

- A.
Kolkata

- B.
Bhopal

- C.
Hyderabad

- D.
Chennai

Answer: Option A

**Explanation** :

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**20. SSC CHSL 27th May Shift 1 - QA | Time & Work - SSC**

A man and a boy together can do a certain amount of digging in 24 days. Their speeds in digging are in the ratio of 4 :3. How many days will the boy take to complete the work if engaged alone?

- A.
52 days

- B.
26 days

- C.
60 days

- D.
56 days

Answer: Option D

**Explanation** :

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**21. SSC CHSL 27th May Shift 1 - QA | Simple Equation - SSC**

The value of x^{2} + y^{2}, when x = 1, y = 2 is ________.

- A.
4

- B.
5

- C.
2

- D.
1

Answer: Option B

**Explanation** :

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**22. SSC CHSL 27th May Shift 1 - QA | Simple Equation - SSC**

9 ÷ [5 + 7 ÷ {9 + 9 ÷ (9 + 9 ÷ 4)}] = ?

- A.
$\frac{48}{40}$

- B.
$\frac{63}{40}$

- C.
$\frac{59}{40}$

- D.
$\frac{37}{40}$

Answer: Option B

**Explanation** :

Given: 9 ÷ [5 + 7 ÷ {9 + 9 ÷ (9 + 9 ÷ 4)}]

= $\frac{9}{5+{\displaystyle \frac{7}{9+{\displaystyle \frac{9}{9+{\displaystyle \frac{9}{4}}}}}}}$

= $\frac{9}{5+{\displaystyle \frac{7}{9+{\displaystyle \frac{36}{45}}}}}$ = $\frac{9}{5+{\displaystyle \frac{7}{9+{\displaystyle \frac{4}{5}}}}}$

= $\frac{9}{5+{\displaystyle \frac{35}{49}}}$ = $\frac{9}{5+{\displaystyle \frac{5}{7}}}$

= $\frac{63}{40}$

Hence, option (b).

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**23. SSC CHSL 27th May Shift 1 - QA | Triangles - SSC**

If the circumradius of an equilateral triangle is 18 cm, then the measure of its in-radius is:

- A.
9 cm

- B.
3 cm

- C.
10 cm

- D.
12 cm

Answer: Option A

**Explanation** :

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**24. SSC CHSL 27th May Shift 1 - QA | Average, Mixture & Alligation - SSC**

In a class of 45 students, there are 20 girls who scored an average of 42 marks in a test of 50 marks. If the class average is 36, what are the average marks of the boys?

- A.
32.50

- B.
32.10

- C.
30.80

- D.
31.20

Answer: Option D

**Explanation** :

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**25. SSC CHSL 27th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A number is increased by 10% and then the increased number is decreased by 20%. The net increase or decrease is:

- A.
18% decrease

- B.
2% decrease

- C.
12% decrease

- D.
12% increase

Answer: Option C

**Explanation** :

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