# SSC CHSL 24th May Shift 3 - QA

**1. SSC CHSL 24th May Shift 3 - QA | Simplification - SSC**

The value of (4^{3} + 4) ÷ [5^{2} - (7^{2} - 41)]

- A.
8

- B.
17

- C.
5

- D.
4

Answer: Option D

**Explanation** :

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**2. SSC CHSL 24th May Shift 3 - QA | Ratio, Proportion & Variation - SSC**

The fourth proportional to the numbers 5, 6 and 8 is:

- A.
9.8

- B.
9.6

- C.
9

- D.
9.5

Answer: Option B

**Explanation** :

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**3. SSC CHSL 24th May Shift 3 - QA | Coordinate Geometry - SSC**

To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton?

[Use 1 foot = 12 inches.]

- A.
36 inches

- B.
32.5 inches

- C.
30 inches

- D.
32 inches

Answer: Option C

**Explanation** :

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**4. SSC CHSL 24th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

5 kg of ₹18 per kg wheat is mixed with 2 kg of another type of wheat to get a mixture costing ₹20 per kg. Find the price (per kg) of the costlier wheat.

- A.
₹27

- B.
₹25

- C.
₹29

- D.
₹30

Answer: Option B

**Explanation** :

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**5. SSC CHSL 24th May Shift 3 - QA | Trigonometry - SSC**

If cot 75° = 2 - $\sqrt{3}$. Find the value of cot 15°.

- A.
2 - $\sqrt{3}$

- B.
2 + $\sqrt{3}$

- C.
$\sqrt{3}$ + 1

- D.
$\sqrt{3}$ - 1

Answer: Option B

**Explanation** :

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**6. SSC CHSL 24th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

In a government scheme, if an electricity bill is paid before the due date, one gets a reduction of 5% on the amount of the bill. By paying the bill before the due date, a person got a reduction of ₹20. The amount of his electricity bill was:

- A.
₹440

- B.
₹400

- C.
₹520

- D.
₹420

Answer: Option B

**Explanation** :

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**7. SSC CHSL 24th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price is:

- A.
38 : 55

- B.
45 : 56

- C.
55 : 38

- D.
56 : 45

Answer: Option B

**Explanation** :

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**8. SSC CHSL 24th May Shift 3 - QA | Time, Speed & Distance - SSC**

A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him?

- A.
1237.5 metres

- B.
1137.5 metres

- C.
1357.5 metres

- D.
1256.5 metres

Answer: Option A

**Explanation** :

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**9. SSC CHSL 24th May Shift 3 - QA | Number Theory - SSC**

Which of the following is divisible by 3?

- A.
7345932

- B.
5439763

- C.
3642589

- D.
3262735

Answer: Option A

**Explanation** :

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**10. SSC CHSL 24th May Shift 3 - QA | Simple & Compound Interest - SSC**

At a certain rate of interest compounded annually, a sum amounts to ₹10,890 in 2 years and to ₹11,979 in 3 years. The sum is:

- A.
₹9,000

- B.
₹8,000

- C.
₹8,500

- D.
₹9,500

Answer: Option A

**Explanation** :

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**11. SSC CHSL 24th May Shift 3 - QA | Tables & Graphs - SSC**

The following graph shows the data of the production of electric wire (in thousand tons b three different companies P, and R over the years.

What is the ratio of the average production of Company Pin the period 2017- 2019 to the average production of Company Q in the same period?

- A.
4 : 5

- B.
25 : 23

- C.
23 : 25

- D.
5 : 4

Answer: Option C

**Explanation** :

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**12. SSC CHSL 24th May Shift 3 - QA | Tables & Graphs - SSC**

The following pie chart shows the different coloured dresses worn by 60 students in a college party. Study the pie chart and answer the question that follows.

The number of students who wore yellow coloured dress ( sector which represents 10%)is:

- A.
20

- B.
10

- C.
6

- D.
12

Answer: Option C

**Explanation** :

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**13. SSC CHSL 24th May Shift 3 - QA | Average, Mixture & Alligation - SSC**

In a class, there are 39 students and their average weight is 51 kg. If we include the weight of the teacher, then the average weight becomes 51.2 kg. What is the weight of the teacher?

- A.
53 kg

- B.
59 kg

- C.
57 kg

- D.
51 kg

Answer: Option B

**Explanation** :

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**14. SSC CHSL 24th May Shift 3 - QA | Simple & Compound Interest - SSC**

A sum of money becomes ₹ 3,364 at a rate of 16% compounded annually for 2 years.

The sum of money is:

- A.
₹2,500

- B.
₹1,800

- C.
₹3,800

- D.
₹2,200

Answer: Option A

**Explanation** :

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**15. SSC CHSL 24th May Shift 3 - QA | Circles - SSC**

If the surface area of a sphere is 1386 cm^{2}, then find the radius of the sphere.

- A.
12.5 cm

- B.
10.5 cm

- C.
10 cm

- D.
12 cm

Answer: Option B

**Explanation** :

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**16. SSC CHSL 24th May Shift 3 - QA | Simplification - SSC**

If the numerator of a fraction be increased by 50% and its denominator be diminished by 28%, the value of the fraction is $\frac{25}{36}$.

Find the original fraction.

- A.
$\frac{1}{5}$

- B.
$\frac{2}{3}$

- C.
$\frac{2}{5}$

- D.
$\frac{1}{3}$

Answer: Option D

**Explanation** :

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**17. SSC CHSL 24th May Shift 3 - QA | Simple Equation - SSC**

Simplify:

(957 + 932)^{2} - 4 × 957 × 932.

- A.
576

- B.
676

- C.
529

- D.
625

Answer: Option D

**Explanation** :

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**18. SSC CHSL 24th May Shift 3 - QA | Circles - SSC**

If the surface area of a sphere is 64 π cm^{2}, then the volume of the sphere is:

- A.
$\frac{241}{3}\pi $ cm³

- B.
$\frac{251}{5}\pi $ cm³

- C.
$\frac{226}{3}\pi $ cm³

- D.
$\frac{251}{3}\pi $ cm³

Answer: Option D

**Explanation** :

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**19. SSC CHSL 24th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

On reducing the marked price of his goods by ₹28, a shopkeeper gains 20%. If the cost price of the article be ₹560 and it is sold at the marked price, what will be the gain per cent?

- A.
30%

- B.
25%

- C.
20%

- D.
15%

Answer: Option B

**Explanation** :

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**20. SSC CHSL 24th May Shift 3 - QA | Simplification - SSC**

If x + $\frac{1}{x}$ = -2$\sqrt{3}$, what is the value of ${x}^{5}$ + $\frac{1}{{x}^{5}}$

- A.
$178\sqrt{3}$

- B.
$182\sqrt{3}$

- C.
$183\sqrt{3}$

- D.
$180\sqrt{3}$

Answer: Option A

**Explanation** :

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**21. SSC CHSL 24th May Shift 3 - QA | Time & Work - SSC**

Avi and Bindu can complete a project in four and twelve hours, respectively. Avi begins project at 5 a.m., and they work alternately for one hour each. When will the project be completed?

- A.
9 a.m.

- B.
11 a.m.

- C.
1 p.m.

- D.
10 a.m.

Answer: Option B

**Explanation** :

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**22. SSC CHSL 24th May Shift 3 - QA | Circles - SSC**

Two circles having radii 12 cm and 8 cm, respectively, touch each other externally. A common tangent is drawn to these circles which touch the circles at M and N, respectively. What is the length (in cm) of MN?

- A.
8$\sqrt{8}$

- B.
8$\sqrt{6}$

- C.
6$\sqrt{8}$

- D.
6$\sqrt{6}$

Answer: Option B

**Explanation** :

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**23. SSC CHSL 24th May Shift 3 - QA | Simple Equation - SSC**

If a + 2b = 27 and a^{3} + 8b^{3} = 5427, then find the value of 2ab .

- A.
176

- B.
156

- C.
172

- D.
149

Answer: Option A

**Explanation** :

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**24. SSC CHSL 24th May Shift 3 - QA | Tables & Graphs - SSC**

The following table gives the sales of an electronic chip over 5 years. Find the year in which the sales are equal to the average of the sales over the 5 years.

- A.
2018

- B.
2015

- C.
2017

- D.
2016

Answer: Option C

**Explanation** :

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**25. SSC CHSL 24th May Shift 3 - QA | Percentage, Profit & Loss - SSC**

In an election between two candidates, 80% of the eligible voters cast their votes, 5% of the votes cast were declared invalid. A candidate got 10545 votes, which were 75% of the total valid votes. Find the total number of eligible voters.

- A.
17800

- B.
18500

- C.
18250

- D.
18000

Answer: Option B

**Explanation** :

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