# SSC CGL 20th April Shift 1 - QA

**1. SSC CGL 20th April Shift 1 - QA | Tables & Graphs - SSC**

**The following pie chart shows the distribution of percentage of a certain corporate office employees in various age groups.**

Total number of employees of the corporate office = 2500

Study the chart carefully and answer the question that follows.

The number of the corporate office employees of age group of 38+ years and above is how much percentage more than that of 28+ to 38 years?

- A.
20%

- B.
120%

- C.
150%

- D.
80%

Answer: Option B

**Explanation** :

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**2. SSC CGL 20th April Shift 1 - 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.**

What is the minimum change percentage in the number of cars in comparison to the previous hour? (correct to 2 decimal places)

- A.
10.52%

- B.
11.54%

- C.
23.81%

- D.
15.25%

Answer: Option B

**Explanation** :

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**3. SSC CGL 20th April Shift 1 - QA | Simple & Compound Interest - SSC**

The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944. Find the compound interest compounded annually (in ₹) on the same sum for the same period at a rate of 10% per annum.

- A.
27,216

- B.
18,060

- C.
20,500

- D.
18,144

Answer: Option D

**Explanation** :

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**4. SSC CGL 20th April Shift 1 - QA | Triangles - SSC**

In a right triangle ABC, right angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6 cm, CD = 5 cm. then find the value of AB^{2} + BD^{2} (in cm).

- A.
30

- B.
66

- C.
36

- D.
96

Answer: Option D

**Explanation** :

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**5. SSC CGL 20th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹30.80 on the sale of one article, then what is the selling price (in ₹) of the article?

- A.
164.30

- B.
184.80

- C.
154.00

- D.
174.80

Answer: Option B

**Explanation** :

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**6. SSC CGL 20th April Shift 1 - QA | Tables & Graphs - SSC**

The given bar chart represents the number of Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.

Study the chart carefully and answer the question that follows.

The average number of TV sets sold by companies C and D is what percentage of the number of TV sets manufactured by company E?

Express your answer correct to one place of decimal.

- A.
90.5%

- B.
86.5%

- C.
89.1%

- D.
92.2%

Answer: Option A

**Explanation** :

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**7. SSC CGL 20th April Shift 1 - QA | Ratio, Proportion & Variation - SSC**

A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

- A.
acute angled

- B.
not possible

- C.
obtuse angled

- D.
right angled

Answer: Option C

**Explanation** :

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**8. SSC CGL 20th April Shift 1 - QA | Circles - SSC**

Points A and B are on a circle with centre O. PA and PB are tangents to the circle from an external point P. If PA and PB are inclined to each other at 42°, then find the measure of ∠OAB.

- A.
21°

- B.
69°

- C.
42°

- D.
25°

Answer: Option A

**Explanation** :

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**9. SSC CGL 20th April Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Numbers A and B are 0% and 50%, respectively, more than the number C. The ratio of A to that of B is:

- A.
13 : 15

- B.
4 : 5

- C.
15 : 13

- D.
5 : 4

Answer: Option A

**Explanation** :

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

Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two third of the time and the rest at an average speed of X km/h. The value of $\frac{x}{2}$ is:

- A.
19.5

- B.
51

- C.
48.75

- D.
97.5

Answer: Option C

**Explanation** :

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**11. SSC CGL 20th April Shift 1 - QA | Simplification - SSC**

The value of:

[25 + 8 ÷ 2 − {16 + (14 of 7 ÷ 14) − (18 ÷ 12 of $\frac{1}{2}$)}]

- A.
3

- B.
6

- C.
12

- D.
9

Answer: Option D

**Explanation** :

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**12. SSC CGL 20th April Shift 1 - QA | Number Theory - SSC**

What is the least square number which is exactly divisible by 2, 3 10, 18 and 20?

- A.
196

- B.
180

- C.
30

- D.
900

Answer: Option D

**Explanation** :

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**13. SSC CGL 20th April Shift 1 - QA | Trigonometry - SSC**

If 6 tan A (tan A - 1) = 5 - tan A, Given that O < A < $\frac{\pi}{2}$. What is the value of (sin A + cos A)?

- A.
3$\sqrt{5}$

- B.
$\frac{3}{\sqrt{5}}$

- C.
5$\sqrt{3}$

- D.
$\frac{5}{\sqrt{3}}$

Answer: Option B

**Explanation** :

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**14. SSC CGL 20th April Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?

- A.
Will increase by 2

- B.
Will increase by 1

- C.
Will decrease by 1

- D.
Will decrease by 2

Answer: Option C

**Explanation** :

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**15. SSC CGL 20th April Shift 1 - QA | Lines & Angles - SSC**

In a circle with centre O, PA and PB are tangents to the circle at point A and point B, respectively. C is a point on the major are AB. If ∠ACB = 50°, then find the measure of ∠APB.

- A.
80°

- B.
90°

- C.
50°

- D.
100°

Answer: Option A

**Explanation** :

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**16. SSC CGL 20th April Shift 1 - QA | Tables & Graphs - SSC**

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

The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018.

The total exports of cars of type A from 2014 to 2016 is approximately what percentage less than the total exports of cars of type B from 2015 to 2017 (correct to one decimal place)?

- A.
13.8%

- B.
10.4%

- C.
11.3%

- D.
11.7%

Answer: Option A

**Explanation** :

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**17. SSC CGL 20th April Shift 1 - QA | Average, Mixture & Alligation - SSC**

80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.

- A.
8

- B.
6

- C.
4

- D.
9

Answer: Option B

**Explanation** :

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**18. SSC CGL 20th April Shift 1 - QA | Lines & Angles - SSC**

The tops of two poles of heights 18 m and 30.5 mare connected by a wire. If the wire makes an angle of 30° with the horizontal, what is the length (in m) of the wire?

- A.
28

- B.
20

- C.
36

- D.
25

Answer: Option D

**Explanation** :

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**19. SSC CGL 20th April Shift 1 - QA | Simplification - SSC**

If $\left(0.4x+\frac{1}{x}\right)$ = 5, what is the value of 0.064${x}^{3}$ + $\frac{1}{{x}^{3}}$?

- A.
119

- B.
125

- C.
110

- D.
105

Answer: Option A

**Explanation** :

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**20. SSC CGL 20th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

Manjeet bought a second-hand motorbike for ₹22,000 and spent ₹3,000 on its overhauling and maintenance. He then sold it with 12% profit. If he had sold it for ₹500 less, then what would have been his profit percentage?

- A.
8%

- B.
10.5%

- C.
5%

- D.
10%

Answer: Option D

**Explanation** :

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**21. SSC CGL 20th April Shift 1 - QA | Number Theory - SSC**

Find the value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.

- A.
4

- B.
6

- C.
9

- D.
3

Answer: Option B

**Explanation** :

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**22. SSC CGL 20th April Shift 1 - QA | Trigonometry - SSC**

Simplify the following expression:

cosec^{4} A(1 - cos^{4} A) - 2 cot^{2} A - 1

- A.
0

- B.
cos

^{2}A - C.
cosec

^{2}A - D.
1

Answer: Option A

**Explanation** :

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**23. SSC CGL 20th April Shift 1 - QA | Circles - SSC**

The inner circumference of a circular path enclosed between two concentric circles is 264 m. The uniform width of the circular path is 3 m. What is the area (in , to the nearest whole number) of the path?

(Taken π = 22/7)

- A.
948

- B.
596

- C.
820

- D.
756

Answer: Option C

**Explanation** :

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**24. SSC CGL 20th April Shift 1 - QA | Average, Mixture & Alligation - SSC**

A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How many boys were shifted to another hostel?

- A.
110

- B.
92

- C.
100

- D.
98

Answer: Option C

**Explanation** :

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**25. SSC CGL 20th April Shift 1 - QA | Simplification - SSC**

If ${x}^{2}$ + $\frac{1}{{x}^{2}}$ = 18, x > 0, then find the value of ${x}^{3}$ + $\frac{1}{{x}^{3}}$

- A.
46$\sqrt{5}$

- B.
34$\sqrt{5}$

- C.
52

- D.
17$\sqrt{5}$

Answer: Option B

**Explanation** :

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