# SSC CHSL 2021 6th August Shift 3 - QA

**1. SSC CHSL 2021 6th August Shift 3 - QA | Simple & Compound Interest - SSC**

If the simple interest on a certain sum of money borrowed for 4 years at 9.5% per annum exceeds the simple interest on the same sum for 3 years at 12.5% per annumby ₹225, then the sum borrowed is:

- A.
₹35,000

- B.
₹45,000

- C.
₹48,000

- D.
₹42,000

Answer: Option B

**Explanation** :

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**2. SSC CHSL 2021 6th August Shift 3 - QA | Time & Work - SSC**

Suman and Lata working together can complete a task in 8 days. If Lata can complete the same task in 12 days, then how many days will Suman take to complete the same task?

- A.
18

- B.
15

- C.
10

- D.
24

Answer: Option D

**Explanation** :

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**3. SSC CHSL 2021 6th August Shift 3 - QA | Tables & Graphs - SSC**

The following pie chart represents the percentage-wise distribution of 300 students ofclass X in a schoolin six different sections A, B, C, D, E and F.

The given table shows the number of boys of class X in six different sections A, B, C, D, E and F.

The total number of boys in sections A, B and D together is what percentage more than the total number of girls in sections A. B and D together?

- A.
18%

- B.
30%

- C.
15%

- D.
20%

Answer: Option D

**Explanation** :

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**4. SSC CHSL 2021 6th August Shift 3 - QA | Coordinate Geometry - SSC**

If the adjacent sides of a rectangle whose perimeter is 60 cm are in the ratio 3 : 2, then what will be the area of the rectangle?

- A.
300 cm

^{2} - B.
216 cm

^{2} - C.
60 cm

^{2} - D.
864 cm

^{2}

Answer: Option B

**Explanation** :

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**5. SSC CHSL 2021 6th August Shift 3 - QA | Circles - SSC**

The circumference of a circle is 'aπ' units and the area ofthe circle is bx’ square units. If a : b is equal to 4 5, then the radius of the circle is:

- A.
3 cm

- B.
2.5 cm

- C.
5 cm

- D.
2 cm

Answer: Option B

**Explanation** :

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**6. SSC CHSL 2021 6th August Shift 3 - QA | Simplification - SSC**

If x + $\frac{81}{x}$ = 18 where x > 0, then the value of x^{2} + $\frac{162}{{x}^{2}}$ is:

- A.
78

- B.
83

- C.
85

- D.
81

Answer: Option B

**Explanation** :

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**7. SSC CHSL 2021 6th August Shift 3 - QA | Tables & Graphs - SSC**

**Study the given pie chart and answer the question that follows.**

The pie chart shows the distribution (degree wise) of the number of computers sold by a shopkeeper during five months.

By what percentage is the total number of computers sold in February and March more than the number of computers sold in April and May (correct to one decimal place)?

- A.
11.5%

- B.
9.9%

- C.
10.6%

- D.
8.8%

Answer: Option B

**Explanation** :

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**8. SSC CHSL 2021 6th August Shift 3 - QA | Time & Work - SSC**

Mohan takes 2 hours more than Kishore to walk 63 km. If Mohan increases his speed by 50°, then he can makeit in 1 hour less than Kishore. How much time does Kishore take to walk 63 km?

- A.
7 hours

- B.
9 hours

- C.
6 hours

- D.
5 hours

Answer: Option A

**Explanation** :

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**9. SSC CHSL 2021 6th August Shift 3 - QA | Lines & Angles - SSC**

Points D, E and F are on the sides AB, BC and AC,respectively, of triangle ABC such that AE, BF and CD bisect ∠A, ∠B and ∠C, respectively. IfAB = 6 cm, BC = 7 cm and AC = 8 cm, then whatwill be the length of BE?

- A.
4 cm

- B.
3 cm

- C.
3.6 cm

- D.
3.5 cm

Answer: Option B

**Explanation** :

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**10. SSC CHSL 2021 6th August Shift 3 - QA | Lines & Angles - SSC**

The angle between the internal bisectors of two angles ∠B and ∠C of a triangle ABC is 125°, then the value of ∠A is:

- A.
65°

- B.
70°

- C.
72°

- D.
62°

Answer: Option B

**Explanation** :

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**11. SSC CHSL 2021 6th August Shift 3 - QA | Trigonometry - SSC**

If 3 cot A = 4 tan A and A is an acute angle, then what will be the value of sec A?

- A.
$\frac{\sqrt{7}}{2}$

- B.
$\frac{\sqrt{21}}{3}$

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

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

Answer: Option A

**Explanation** :

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**12. SSC CHSL 2021 6th August Shift 3 - QA | Average, Mixture & Alligation - SSC**

The present population of a village (males and females) is 7640. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 9214. The difference between the present population of males and femalesin the village is:

- A.
820

- B.
960

- C.
940

- D.
920

Answer: Option D

**Explanation** :

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**13. SSC CHSL 2021 6th August Shift 3 - QA | Trigonometry - SSC**

$\frac{{\mathrm{cos}}^{2}20\xb0+{\mathrm{cos}}^{2}70\xb0}{{\mathrm{sin}}^{2}90\xb0}$ - tan^{2} 45°?

- A.
0

- B.
1

- C.
-2

- D.
-1

Answer: Option A

**Explanation** :

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**14. SSC CHSL 2021 6th August Shift 3 - QA | Number Theory - SSC**

Two positive numbers are in the ratio 8 : 13. If the sum oftheir squares is 2097, then the sum of the two numbers is:

- A.
65

- B.
63

- C.
64

- D.
60

Answer: Option B

**Explanation** :

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**15. SSC CHSL 2021 6th August Shift 3 - QA | Simple Equation - SSC**

When a positive integer 'n' is divided by 12, the remainder is 5. What will be the remainder if 8n^{2} + 7 is divided by 12?

- A.
2

- B.
5

- C.
3

- D.
4

Answer: Option C

**Explanation** :

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**16. SSC CHSL 2021 6th August Shift 3 - QA | Simplification - SSC**

Simplify the following expression.

$\frac{3{\displaystyle \frac{2}{3}}-5{\displaystyle \frac{7}{9}}\xf7{\displaystyle \frac{1}{3}}\times 1{\displaystyle \frac{2}{13}}}{{\displaystyle \frac{2}{3}}\mathrm{of}1{\displaystyle \frac{1}{3}}\xf7{\displaystyle \frac{1}{3}}}$

- A.
-2$\frac{77}{104}$

- B.
-29$\frac{2}{5}$

- C.
-6$\frac{1}{8}$

- D.
-14$\frac{1}{4}$

Answer: Option C

**Explanation** :

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**17. SSC CHSL 2021 6th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

A customer availed a 10% discounton the purchase of a table and paid ₹4,950 for it. How much money would he have saved if he had bargainedto get 12% discount?

- A.
₹660

- B.
₹99

- C.
₹108.90

- D.
₹110

Answer: Option D

**Explanation** :

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**18. SSC CHSL 2021 6th August Shift 3 - QA | Simple Equation - SSC**

If x - $\frac{1}{x}$ = 2$\sqrt{2}$, then what will be the value of x^{3} - $\frac{1}{{x}^{3}}$?

- A.
22$\sqrt{2}$

- B.
12$\sqrt{2}$

- C.
10$\sqrt{2}$

- D.
20$\sqrt{2}$

Answer: Option A

**Explanation** :

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**19. SSC CHSL 2021 6th August Shift 3 - QA | Tables & Graphs - SSC**

**Study the given pie chart and answer the question that follows.**

Total number of students admitted in a college = 700.

Distribution of the percentage of students in various courses.

Percentage-wise distribution of the number of boys.

The difference between the number of boys and the number of girls admitted in B.Com. is:

- A.
65

- B.
70

- C.
75

- D.
60

Answer: Option B

**Explanation** :

Workspace:

**20. SSC CHSL 2021 6th August Shift 3 - QA | Simple Equation - SSC**

If x^{4} - 12x^{2} + 1 = 0, then what will be the value of x^{4} + $\frac{1}{{x}^{4}}$?

- A.
142

- B.
146

- C.
10

- D.
144

Answer: Option A

**Explanation** :

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**21. SSC CHSL 2021 6th August Shift 3 - QA | Tables & Graphs - SSC**

The histogram shows the marks scored by 40 students in a test with maximum 30 marks. How many students scored 10 or more marks?

- A.
10

- B.
30

- C.
38

- D.
23

Answer: Option B

**Explanation** :

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**22. SSC CHSL 2021 6th August Shift 3 - QA | Percentage, Profit & Loss - SSC**

Amit purchased stationery marked for ₹8,000 at 12% discount and spent ₹160 on transportation. He sold the stationery at the marked price. Find his profit percentage.

- A.
10

- B.
12

- C.
12$\frac{1}{2}$

- D.
11$\frac{1}{9}$

Answer: Option D

**Explanation** :

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**23. SSC CHSL 2021 6th August Shift 3 - QA | Circles - SSC**

Chord AB of a circle with radius 5 cm is at a distance of 4 cm from the centre O. If tangents drawn at A and B intersect at P, then find the length of the tangent AP.

- A.
7.5 cm

- B.
3.75 cm

- C.
3 cm

- D.
2.4 cm

Answer: Option B

**Explanation** :

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**24. SSC CHSL 2021 6th August Shift 3 - QA | Trigonometry - SSC**

If $\frac{{\mathrm{sin}}^{2}\theta}{{\mathrm{tan}}^{2}\theta -{\mathrm{sin}}^{2}\theta}$= 5, then the value of $\frac{24{\mathrm{cos}}^{2}\theta -15se{c}^{2}\theta}{6\mathrm{cos}e{c}^{2}\theta -7co{t}^{2}\theta}$is:

- A.
6

- B.
2

- C.
4

- D.
1

Answer: Option B

**Explanation** :

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**25. SSC CHSL 2021 6th August Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average of the squares of four consecutive odd natural numbers is 201. The average of 7 times of the largest number and 3 times of the smallest numberis:

- A.
72

- B.
78

- C.
76

- D.
66

Answer: Option C

**Explanation** :

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