# SSC CGL 20th April Shift 2 - QA

**1. SSC CGL 20th April Shift 2 - QA | Trigonometry - SSC**

If tan B = $\frac{5}{3}$, what is the value of $\frac{\mathrm{cos}ecB+\mathrm{sin}B}{\mathrm{cos}B-secB}$?

- A.
-$\frac{177}{125}$

- B.
-$\frac{59}{15}$

- C.
$\frac{59}{15}$

- D.
$\frac{177}{125}$

Answer: Option A

**Explanation** :

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**2. SSC CGL 20th April Shift 2 - QA | Simplification - SSC**

If $\sqrt{x}$ - $\frac{1}{\sqrt{x}}$ = $\sqrt{5}$, x ≠ 0, then what is the value of $\frac{{x}^{4}+{\displaystyle \frac{1}{{x}^{2}}}}{{x}^{2}+1}$

- A.
42

- B.
44

- C.
48

- D.
46

Answer: Option D

**Explanation** :

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**3. SSC CGL 20th April Shift 2 - QA | Number Theory - SSC**

If the num ber 48 k 2048 p 6 is divisible by 99, then (k p) is equal to:

- A.
2

- B.
6

- C.
4

- D.
0

Answer: Option D

**Explanation** :

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**4. SSC CGL 20th April Shift 2 - QA | Simple & Compound Interest - SSC**

The simple interest on a sum of money at 10% per annum for 4 years is ₹3,200. What will be the amount (in ₹) of the same sum for the same period at the same rate of inerest when the interest is compounded annually?

- A.
11,217.80

- B.
11,172.80

- C.
11,127.80

- D.
11,712.80

Answer: Option D

**Explanation** :

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

A shopkeeper offers a discount of 18% on a machine and sells it for ₹48,380. If he does not offer the discount, he will get a profit of 18%. What is the cost price (in ₹) of the machine?

- A.
50,000

- B.
48,500

- C.
55,000

- D.
59,000

Answer: Option A

**Explanation** :

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**6. SSC CGL 20th April Shift 2 - QA | Triangles - SSC**

In triangle ABC, X and Y are the points on sides AB and AC, respectively, such that XY is parallel to BC. If XY : BC = 2.5 : 7. what is the ratio of the area of the trapezium BCYX to that of the ∆AXY?

- A.
$\frac{25}{171}$

- B.
$\frac{25}{196}$

- C.
$\frac{196}{25}$

- D.
$\frac{171}{25}$

Answer: Option D

**Explanation** :

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**7. SSC CGL 20th April Shift 2 - QA | Ratio, Proportion & Variation - SSC**

A, B and C divide an amount of ₹10,500 amongst themselves in the ratio 5 : 7 : 9. respectively. If each one gets ₹500 more, then what will be the ratio of the amounts will A, B and C?

- A.
5 : 7 : 9

- B.
3 : 4 : 5

- C.
7 : 9 : 11

- D.
5 : 6 : 7

Answer: Option B

**Explanation** :

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**8. SSC CGL 20th April Shift 2 - QA | Simplification - SSC**

25 ÷ 10 - $\left(\frac{7}{4}\times \frac{1}{3}\right)$ of $\frac{6}{5}$ + $\frac{14}{3}$ × $\frac{9}{10}$ + $\left(\frac{1}{5}\xf7\frac{1}{25}\right)$ is:

- A.
11

- B.
7

- C.
15

- D.
9

Answer: Option A

**Explanation** :

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**9. SSC CGL 20th April Shift 2 - QA | Trigonometry - SSC**

A and B are two points on the same side of a ground, 50 metres apart. The angles of elevation of these points to the top of a tree are 60° and 30° respectively. What is 40% of the height of the tree (in m)?

- A.
10$\sqrt{3}$

- B.
15$\sqrt{3}$

- C.
5$\sqrt{3}$

- D.
25$\sqrt{3}$

Answer: Option A

**Explanation** :

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**10. SSC CGL 20th April Shift 2 - QA | Tables & Graphs - SSC**

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

The pie chart shows the breakup of the total number of employees of a company working in different offices (A to E),in degrees. The total number of employees = 3600.

If the percentage of male employees in office C is 20% and that of female employees in office D is 40%, then what is the ratio of the number of female employees in office D to that of female employees in office C?

- A.
3 : 8

- B.
2 : 3

- C.
3 : 5

- D.
5 : 6

Answer: Option D

**Explanation** :

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

A reduction of 20% in the price of bananas enables a customer to buy 6 more bananas for ₹80. What is the reduced price of bananas per dozen (in ₹)?

- A.
32

- B.
35

- C.
36

- D.
40

Answer: Option A

**Explanation** :

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**12. SSC CGL 20th April Shift 2 - QA | Triangles - SSC**

In ∆PQR, ∠Q = 66° and ∠R = 3°. T is a point on QR., and S is a point between Q and T such that PS ⊥ QR and PT is the bisector of ∠QPR. What is the measure of ∠SPT?

- A.
20°

- B.
16°

- C.
18°

- D.
12°

Answer: Option B

**Explanation** :

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**13. SSC CGL 20th April Shift 2 - QA | Tables & Graphs - SSC**

The following bar graph shows receipts and expenditure of a business firm over 5 years. Gain = Receipts - Expenditure.

What is the percentage of increase in expenditure from 2018 to 2019 as compared to 2018?

- A.
6$\frac{1}{4}$

- B.
8$\frac{3}{4}$

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

- D.
6$\frac{2}{3}$

Answer: Option D

**Explanation** :

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**14. SSC CGL 20th April Shift 2 - QA | Circles - SSC**

AC is the diameter of a circle dividing the circle into two semicircles. ED is a chord in one semicircle, such that ED is parallel to AC. B is a point on the circumference of the circle in the other semicircle ∠CBE = 15°. What is the measure (in degrees) of ∠CED?

- A.
68°

- B.
37°

- C.
75°

- D.
15°

Answer: Option D

**Explanation** :

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**15. SSC CGL 20th April Shift 2 - QA | Tables & Graphs - SSC**

The given histogram shows the heights of 232 students of an athletic club and their numbers.

Study the histogram carefully and answer the questions that follows.

If the histogram is to be presented by a line diagram. what would be the starting point and the end point of the line diagram?

- A.
(122.5, 20) and (167.5, 20)

- B.
(117.5, O) and (172.5, 0)

- C.
(117.5, 20) and 172.5, 20)

- D.
(122.5, O) and (167.5, O)

Answer: Option B

**Explanation** :

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**16. SSC CGL 20th April Shift 2 - QA | Circles - SSC**

AB is a chord in the minor segment of a circle with centre O. C is a point between A and B on the minor are AB. The tangents to the circle at A and B meet at the point D. If ∠ACB = 116°, then the measure of ∠ADB is

- A.
64°

- B.
48°

- C.
56°

- D.
52°

Answer: Option D

**Explanation** :

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

In which year were the exports of cars of type B ₹20 million less than the average exports (per year) of cars of type A over the five years?

- A.
2014

- B.
2015

- C.
2016

- D.
2017

Answer: Option C

**Explanation** :

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**18. SSC CGL 20th April Shift 2 - QA | Number Theory - SSC**

The least number which should be added to 3627 so that the sum is exactly divisible by 4, 5, 6 and 8 is:

- A.
93

- B.
39

- C.
27

- D.
72

Answer: Option A

**Explanation** :

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

A fruit vendor recovers the cost of 95 oranges by selling 80 oranges. What is his profit perpcentage?

- A.
18.75%

- B.
20.75%

- C.
21.25%

- D.
24.25%

Answer: Option A

**Explanation** :

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**20. SSC CGL 20th April Shift 2 - QA | Time, Speed & Distance - SSC**

If Raman drives his bike at a speed of 24 km/h, he reaches his office 5 minutes late. If he drives at a speed of 30 km/h, he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?

- A.
45

- B.
55

- C.
40

- D.
50

Answer: Option C

**Explanation** :

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**21. SSC CGL 20th April Shift 2 - QA | Trigonometry - SSC**

If tan² A - 6 tan A + 9 = 0, 0 < A < 90°, what is the value of 6 cot A + 8$\sqrt{10}$ cos A?

- A.
10$\sqrt{10}$

- B.
14

- C.
10

- D.
8$\sqrt{10}$

Answer: Option C

**Explanation** :

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**22. SSC CGL 20th April Shift 2 - QA | Simplification - SSC**

If 6$\sqrt{6}$${p}^{3}$ + 2$\sqrt{2}$${q}^{3}$ = ($\sqrt{6}$p + $\sqrt{2}$q) (S${p}^{2}$ + M${q}^{2}$ - Npq), then the positive value of $\sqrt{{S}^{2}+{M}^{2}+2{N}^{2}}$ is:

- A.
10

- B.
8

- C.
9

- D.
12

Answer: Option B

**Explanation** :

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**23. SSC CGL 20th April Shift 2 - QA | Average, Mixture & Alligation - SSC**

What is the average of the first six prime numbers?

- A.
6

- B.
6$\frac{5}{6}$

- C.
9$\frac{1}{3}$

- D.
7

Answer: Option B

**Explanation** :

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**24. SSC CGL 20th April Shift 2 - QA | Triangles - SSC**

The total surface area of a right pyramid, with base as a square of side 8 cm, is 208 cm^{2}. What is the slant height (in cm) of the pyramid?

- A.
7

- B.
10

- C.
9

- D.
8

Answer: Option C

**Explanation** :

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**25. SSC CGL 20th April Shift 2 - QA | Time & Work - SSC**

P and Q completed a work together and were paid ₹1,080 and ₹1,440, respectively. If P can do the entire work in 20 days, how many days did they take to complete the work together?

- A.
6$\frac{4}{7}$

- B.
6$\frac{3}{7}$

- C.
8$\frac{3}{7}$

- D.
8$\frac{4}{7}$

Answer: Option D

**Explanation** :

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