# SSC CGL 20th April Shift 3 - QA

**1. SSC CGL 20th April Shift 3 - QA | Time, Speed & Distance - SSC**

The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?

- A.
20

- B.
40

- C.
70

- D.
30

Answer: Option A

**Explanation** :

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**2. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

A person bought a book at 31% discount on its printed price. If no discount was given, then he would have to pay ₹2,480 more. How much did he pay (in ₹) for the book?

- A.
5,520

- B.
8,000

- C.
4,560

- D.
7,000

Answer: Option A

**Explanation** :

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**3. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC**

The value of

$\frac{5{\mathrm{cos}}^{2}62\xb0+5{\mathrm{cos}}^{2}28\xb0-21}{7{\mathrm{sin}}^{2}35\xb0+7{\mathrm{sin}}^{2}55\xb0+1}$

- A.
-2

- B.
-3

- C.
2

- D.
3

Answer: Option A

**Explanation** :

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**4. SSC CGL 20th April Shift 3 - QA | Average, Mixture & Alligation - SSC**

While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?

- A.
57

- B.
37

- C.
40

- D.
45

Answer: Option C

**Explanation** :

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**5. SSC CGL 20th April Shift 3 - QA | Circles - SSC**

A circle is circumscribed on a quadrilateral ∠ABCD. If ∠DAB = 100°, ∠ADB = 35° and ∠CDB = 40°, then find the measure of ∠DBC.

- A.
45°

- B.
60°

- C.
35°

- D.
40°

Answer: Option B

**Explanation** :

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**6. SSC CGL 20th April Shift 3 - QA | Triangles - SSC**

In a triangle ABC, angle A = 68. If 'I' is incentre, then find out the measure of angle BIC.

- A.
124°

- B.
68°

- C.
56°

- D.
112°

Answer: Option A

**Explanation** :

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**7. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC**

Which of the following is the smallest number that is a perfect square and is divisible by each of ihe numbers 6, 8 and 15?

- A.
225

- B.
121

- C.
3600

- D.
576

Answer: Option C

**Explanation** :

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**8. SSC CGL 20th April Shift 3 - QA | Triangles - SSC**

In a right-angled triangle PQR, ∠Q = 90°. A and B are the mid-points of PQ and PR, respectively. If PQ = 16 cm, QR= 30 cm and PR= 34 cm, what is perimeter (in cm) of the trapezium ABRQ?

- A.
65

- B.
70

- C.
80

- D.
40

Answer: Option B

**Explanation** :

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**9. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC**

If a + b + c = 6, a² + b² + c² = 32, and a³ + b³ + c³ = 189, then the value of 4abc is

- A.
9

- B.
12

- C.
8

- D.
16

Answer: Option B

**Explanation** :

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**10. SSC CGL 20th April Shift 3 - QA | Simple & Compound Interest - SSC**

Divide ₹66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount that B receives after 10 years; with compound interest being compounded annually at a rate of 10% per annum.

- A.
A = ₹35,200, B =₹31,100

- B.
A = ₹35,520, B =₹30,810

- C.
A = ₹37,000, B =₹29,300

- D.
A = ₹36,300, B =₹30,000

Answer: Option D

**Explanation** :

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**11. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC**

A ladder of length 3.5 m just reaches the top of a wall. If the ladder makes an angle of 60° with the wall, then what is the height of the wall (in m)?

- A.
$7\sqrt{3}$

- B.
1.75

- C.
$3.5\sqrt{3}$

- D.
$\frac{3.5}{\sqrt{3}}$

Answer: Option B

**Explanation** :

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**12. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC**

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E. what is the average number of youth in the five states?

- A.
1200000

- B.
1025000

- C.
1015000

- D.
****1010000

Answer: Option D

**Explanation** :

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**13. SSC CGL 20th April Shift 3 - QA | Trigonometry - SSC**

The value of ${\left(\frac{1-cot\theta}{1-\mathrm{tan}\theta}\right)}^{2}$ +1, if 0° < θ < 90°, is equal to:

- A.
cos² θ

- B.
cosec² θ

- C.
sin² θ

- D.
sec² θ

Answer: Option B

**Explanation** :

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**14. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC**

The given bar graph shows the income and expenditure (in crores ₹) of a company over 5 years, from 2014 to 2018.

Study the bar graph and answer the question that follows.

What is the difference (in crores ₹) between the expenditure for the years 2017 and 2018 taken together and the income for the years 2015 and 2016 taken together?

- A.
15

- B.
16

- C.
18

- D.
20

Answer: Option D

**Explanation** :

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**15. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC**

Performance of 1800 students in grades has been shown in the following pie chart. How many more students have obtained grade B than those who have obtained grade C?

- A.
54

- B.
3

- C.
60

- D.
50

Answer: Option A

**Explanation** :

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**16. SSC CGL 20th April Shift 3 - QA | Tables & Graphs - SSC**

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram. During which hour(s) is the number of cars passed less than the average number of cars passed from 7 am to 12 noon?

- A.
7- 8, 8-9 9-10

- B.
6-7, 11-12

- C.
6-7, 10-11, 11-12

- D.
0-11, 11-12

Answer: Option C

**Explanation** :

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**17. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC**

If (4a - 3b) = 1, ab = $\frac{1}{2}$, where a > 0 and b > 0, what is the value of (64a³ + 27b³)?

- A.
15

- B.
35

- C.
25

- D.
30

Answer: Option B

**Explanation** :

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**18. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

A is 25% more than B, and B is 40% less than C. If C is 20% more than D, then A is what percentage less than D?

- A.
12%

- B.
10%

- C.
11%

- D.
9%

Answer: Option B

**Explanation** :

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**19. SSC CGL 20th April Shift 3 - QA | Ratio, Proportion & Variation - SSC**

Three partners shared the profit in a business in the proportion of 9 : 8 : 11. They invested their capitals for 4 months, 6 months and 18 months, respectively. What was the ratio of their capitals?

- A.
27 : 48 : 22

- B.
81 : 48 : 22

- C.
81 : 16 : 66

- D.
27 : 16 : 66

Answer: Option B

**Explanation** :

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**20. SSC CGL 20th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

An article is sold at a certain price. If it is sold at 70% of this price, then there is a loss of 10%. What is the percentage profit, when it is sold at the original selling price?

- A.
$\frac{100}{7}$%

- B.
$\frac{50}{7}$%

- C.
$\frac{300}{7}$%

- D.
$\frac{200}{7}$%

Answer: Option D

**Explanation** :

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**21. SSC CGL 20th April Shift 3 - QA | Mensuration - SSC**

The length of the body diagonal of a cube is 8√3 cm. What is the volume (in ) of the cube?

- A.
512

- B.
343

- C.
216

- D.
729

Answer: Option A

**Explanation** :

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**22. SSC CGL 20th April Shift 3 - QA | Time & Work - SSC**

A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?

- A.
24

- B.
36

- C.
21

- D.
18

Answer: Option D

**Explanation** :

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**23. SSC CGL 20th April Shift 3 - QA | Simplification - SSC**

Find the value of the following expression:

$\frac{1{\displaystyle \frac{1}{2}}+1{\displaystyle \frac{3}{7}}\xf7\left(1{\displaystyle \frac{3}{5}}\mathrm{of}1{\displaystyle \frac{1}{4}}\right)\times 2{\displaystyle \frac{1}{3}}}{2{\displaystyle \frac{2}{3}}\xf7{\displaystyle \frac{4}{9}}\times {\displaystyle \frac{5}{6}}+14}$

- A.
$\frac{107}{342}$

- B.
$\frac{49}{114}$

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

- D.
$\frac{13}{114}$

Answer: Option C

**Explanation** :

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**24. SSC CGL 20th April Shift 3 - QA | Quadrilaterals & Polygons - SSC**

PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?

- A.
147°

- B.
113°

- C.
123°

- D.
157°

Answer: Option B

**Explanation** :

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**25. SSC CGL 20th April Shift 3 - QA | Number Theory - SSC**

If 5$\sqrt{3}+\sqrt{75}$ = 17.32, then the value of $14\sqrt{3}+\sqrt{108}$

- A.
33.86

- B.
34.64

- C.
35.64

- D.
32.46

Answer: Option B

**Explanation** :

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