# SSC CHSL 6th June Shift 3 - QA

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

Which scheme among the following is most beneficial to the customer?

i) Successive discounts of 25% and 25%

ii) Flat discount of 40%

iii) Buy one, get one free

iv) Successive discounts of 30% and 20%

- A.
iii

- B.
ii

- C.
i

- D.
iv

Answer: Option A

**Explanation** :

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**2. SSC CHSL 6th June Shift 3 - QA | Time, Speed & Distance - SSC**

A 640 metre long train travelling at 80 km/h overtook a 540 metre long train travelling at 72 km/h in the same direction. How long did it take the faster train to cross the other train completely?

- A.
8 minutes 41 seconds

- B.
9 minutes 09 seconds

- C.
9 minutes 01 second

- D.
8 minutes 51 seconds

Answer: Option D

**Explanation** :

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

In an assembly election of two candidates, the winner got 56% of the total valid votes. 5% of the total votes were declared invalid. If the total number of voters is 3,20,000 then what is the number of valid votes polled for the winning candidate?

- A.
174020

- B.
175240

- C.
170420

- D.
170240

Answer: Option D

**Explanation** :

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**4. SSC CHSL 6th June Shift 3 - QA | Tables & Graphs - SSC**

Study the given pie charts carefully and answer the question that follows.

The expenditure on Food in 2021 was what percentage of the expenditure on Education in 2020?

- A.
95%

- B.
85%

- C.
90%

- D.
80%

Answer: Option C

**Explanation** :

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**5. SSC CHSL 6th June Shift 3 - QA | Simplification - SSC**

Find the value of $\sqrt{2+\sqrt{3}}$ + $\sqrt{2-\sqrt{3}}$,

- A.
$\sqrt{6}$

- B.
2$\sqrt{3}$

- C.
2$\sqrt{2}$

- D.
6

Answer: Option A

**Explanation** :

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

Simplify:

$\frac{6}{5}$ ÷ $\frac{6}{5}$ of $\frac{6}{5}$ × $\frac{5}{6}$ + $\frac{9}{4}$ ÷ $\frac{4}{5}$ of $\frac{15}{2}$ - $\left\{8\frac{5}{9}+\left(\frac{4}{3}+\frac{5}{3}\mathrm{of}\frac{6}{25}\right)\right\}$

- A.
-9$\frac{9}{40}$

- B.
-9$\frac{79}{360}$

- C.
-9$\frac{7}{120}$

- D.
-8$\frac{281}{360}$

Answer: Option B

**Explanation** :

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**7. SSC CHSL 6th June Shift 3 - QA | Tables & Graphs - SSC**

A dice is thrown 150 times, with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 being as given in the following table. How many times is the number appearing on the dice a prime number?

- A.
88

- B.
109

- C.
86

- D.
66

Answer: Option C

**Explanation** :

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**8. SSC CHSL 6th June Shift 3 - QA | Number Theory - SSC**

Which of the following numbers is divisible by 55?

- A.
178765

- B.
185625

- C.
171125

- D.
164485

Answer: Option B

**Explanation** :

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**9. SSC CHSL 6th June Shift 3 - QA | Simplification - SSC**

Evaluate

99 × 99 - 1.

- A.
9900

- B.
9800

- C.
9801

- D.
9899

Answer: Option B

**Explanation** :

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**10. SSC CHSL 6th June Shift 3 - QA | Time, Speed & Distance - SSC**

A bus covers a certain distance travelling at a speed of 40 km/h and returns to the starting point at a speed of 60 km/h. The average speed (in km/h) for the entire journey is:

- A.
48

- B.
20

- C.
100

- D.
50

Answer: Option A

**Explanation** :

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

The population of village has been continuously increasing at the rate of 10% per year. If its present population is 54,450, what was it two years ago?

- A.
48000

- B.
45000

- C.
52000

- D.
50000

Answer: Option B

**Explanation** :

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**12. SSC CHSL 6th June Shift 3 - QA | Simple Equation - SSC**

If p = 38, then the value of p(p^{2} + 3p + 3) is _________

- A.
39313

- B.
59319

- C.
39318

- D.
59318

Answer: Option D

**Explanation** :

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**13. SSC CHSL 6th June Shift 3 - QA | Trigonometry - SSC**

Given below are some of the measures of the sides and angles of five triangles. Which of the triangles given in the options is NOT congruent to triangle ABC?

In ∆ABC, m(AB) = 3.6 cm, m(BC) = 5 cm, m(CA) = 4 cm, m(∠B) = 52.4°, m(∠C) = 45.5°

In ∆DEF, m(DE) = 4 cm, m(EF) = 5 cm, m(FD) = 3.6 cm

In ∆GHI, m(HI) = 5 cm, m(∠H) = 52.4°, m(∠I) = 45.5°

In ∆JKL, m(JK) = 3.6 cm, m(LJ) = 4 cm, m(∠J) = 52.4°

In ∆MNO, m(MN) = 3.6 cm, m(NO) = 5 cm, m(∠N) = 52.4°

- A.
∆MNO

- B.
∆GHI

- C.
∆JKL

- D.
∆DEF

Answer: Option C

**Explanation** :

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**14. SSC CHSL 6th June Shift 3 - QA | Simple & Compound Interest - SSC**

A person borrowed a sum of ₹8,000 at an interest rate of 10% p.a, compounded semi-annually. What is the compound interest for a period of 1 year?

- A.
₹ 820

- B.
₹ 1,600

- C.
₹ 1,680

- D.
₹ 800

Answer: Option A

**Explanation** :

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

Sudhir claimed to sell his items at only 8% above the cost of production, but used a weight that had 750 grams written on it, though it actually weighed 720 grams. What was the actual profit percentage earned by Sudhir?

- A.
12.6%

- B.
12.25%

- C.
12.5%

- D.
12.75%

Answer: Option C

**Explanation** :

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**16. SSC CHSL 6th June Shift 3 - QA | Tables & Graphs - SSC**

The given bar graph shows the sales (in thousands) of four mobile brands for four years. Study the graph and answer the question that follows.

If the sales of a brand is more than the average sales of these four brands in any year, then it gets a star. Which brand has the minimum number of stars from 2016 to 2019?

- A.
B1

- B.
B3

- C.
B2

- D.
B4

Answer: Option A

**Explanation** :

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**17. SSC CHSL 6th June Shift 3 - QA | Coordinate Geometry - SSC**

If the length, the breadth, and the height of a cuboid are respectively 12 m, 6 m and 50 cm, then find the volume of the cuboid.

- A.
336 cm

^{3} - B.
3600 cm

^{3} - C.
360 cm

^{3} - D.
36 cm

^{3}

Answer: Option D

**Explanation** :

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**18. SSC CHSL 6th June Shift 3 - QA | Ratio, Proportion & Variation - SSC**

Copper and bronze are in the ratio 3 : 4 in 350 gm of an alloy. The quantity (in gm) of copper to be added to it to make the ratio 4 : 3 is:

- A.
116.67 gm

- B.
126.67 gm

- C.
123.33 gm

- D.
113.33 gm

Answer: Option A

**Explanation** :

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**19. SSC CHSL 6th June Shift 3 - QA | Trigonometry - SSC**

If A = 30°, what is the value of:

$\frac{\left[6\mathrm{sin}A+9\mathrm{cos}ecA-co{t}^{2}A\right]}{12\mathrm{sin}A}$

- A.
6

- B.
-6

- C.
3

- D.
-3

Answer: Option C

**Explanation** :

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**20. SSC CHSL 6th June Shift 3 - QA | Coordinate Geometry - SSC**

Find the volume of a cuboid whose dimensions are 15 m, 22 m and 5 m.

- A.
1850 m

^{3} - B.
1480 m

^{3} - C.
1650 m

^{3} - D.
1220 m

^{3}

Answer: Option C

**Explanation** :

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**21. SSC CHSL 6th June Shift 3 - QA | Average, Mixture & Alligation - SSC**

In an examination it is required to get a minimum of 340 marks in aggregate to pass. A student gets 244 marks and is declared failed by 12% of the total marks. What are the maximum aggregate marks a student can get?

- A.
1000

- B.
800

- C.
960

- D.
720

Answer: Option B

**Explanation** :

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**22. SSC CHSL 6th June Shift 3 - QA | Triangles - SSC**

The area of a right-angled triangle is 42 cm^{2}. If the length of one of its two sides containing the right angle is 10 cm, find the length of the other side that contain the right angle.

- A.
4.0 cm

- B.
8.0 cm

- C.
8.4 cm

- D.
4.8 cm

Answer: Option C

**Explanation** :

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**23. SSC CHSL 6th June Shift 3 - QA | Time & Work - SSC**

A can complete a work in 5 days and B can complete the same work in 10 days. If A and B work alternately, starting with A, in how many days will they complete the work?

- A.
6$\frac{2}{5}$ days

- B.
6$\frac{1}{2}$ days

- C.
7$\frac{2}{5}$ days

- D.
7$\frac{1}{2}$ days

Answer: Option B

**Explanation** :

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

A merchant gives an additional discount of 10% on the product after an initial discount of 20% on the listed price. He managed to make a 10% profit by selling the product for ₹54,000. What was the listed price of the product?

- A.
₹77,500

- B.
₹77,000

- C.
₹75,000

- D.
₹72,500

Answer: Option C

**Explanation** :

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**25. SSC CHSL 6th June Shift 3 - QA | Ratio, Proportion & Variation - SSC**

The difference between mean proportion of 9 & 16 and 4 & 9 is:

- A.
6

- B.
12

- C.
108

- D.
180

Answer: Option A

**Explanation** :

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