# SSC CGL 12th April Shift 2 - QA

**1. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC**

**The given histogram represents the marks of students in Mathematics test of a certain class.**

The total number of students is 350 and the maximum marks of the test are 200. Study the graph and answer the question that follows.

What is the class average ( correct up to one place of decimal) of mathematics test?

- A.
119.3

- B.
123.7

- C.
115.8

- D.
127.3

Answer: Option A

**Explanation** :

Workspace:

**2. SSC CGL 12th April Shift 2 - QA | Lines & Angles - SSC**

In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at point E. If ∠CED = 57° and ∠A = 47°, then the measure of ∠B is:

- A.
47°

- B.
67°

- C.
77°

- D.
57°

Answer: Option B

**Explanation** :

Workspace:

**3. SSC CGL 12th April Shift 2 - QA | Simplification - SSC**

The value of 40 ÷ 5 2 × [18 ÷ 6 × (12 − 9) of5 − (3 − 8)] ÷ 25 is:

- A.
5

- B.
7

- C.
8

- D.
4

Answer: Option C

**Explanation** :

Workspace:

**4. SSC CGL 12th April Shift 2 - QA | Time & Work - SSC**

A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?

- A.
24

- B.
20

- C.
12

- D.
25

Answer: Option C

**Explanation** :

Workspace:

**5. SSC CGL 12th April Shift 2 - QA | Percentage, Profit & Loss - SSC**

A and B start a business. A invests %, of the total capital and B invests the remaining. If the total profit at the end of the year is ₹1,62,000, then B's share (in ₹) is:

- A.
1,08,000

- B.
1,12,000

- C.
1,20,000

- D.
54,000

Answer: Option A

**Explanation** :

Workspace:

**6. SSC CGL 12th April Shift 2 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper marks his goods at a price 20% higher than their cost price and allows 10% discount on every item. Find his gain percentage.

- A.
10%

- B.
10.5%

- C.
9%

- D.
8%

Answer: Option A

**Explanation** :

Workspace:

**7. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC**

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.

In which state(s) is the number of youth more than the average number of youth in the five states?

- A.
A

- B.
A, C

- C.
A, C, D, E

- D.
A, C, D

Answer: Option A

**Explanation** :

Workspace:

**8. SSC CGL 12th April Shift 2 - QA | Average, Mixture & Alligation - SSC**

Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

- A.
167

- B.
168

- C.
176

- D.
186

Answer: Option B

**Explanation** :

Workspace:

**9. SSC CGL 12th April Shift 2 - QA | Coordinate Geometry - SSC**

The angle of elevation of the top of a tall building from the points M and N at the distances of 72 m and 128 m, respectively, from the base of the building and in the same straight line with it, are complementary. The height of the building (in m) is:

- A.
84

- B.
96

- C.
80

- D.
90

Answer: Option B

**Explanation** :

Workspace:

**10. SSC CGL 12th April Shift 2 - QA | Simple & Compound Interest - SSC**

The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple inrerest (in ₹) on ₹ 15,000 at the same rate of simple interest for 8 years.

- A.
5,800

- B.
5,000

- C.
6,000

- D.
5,250

Answer: Option C

**Explanation** :

Workspace:

**11. SSC CGL 12th April Shift 2 - QA | Average, Mixture & Alligation - SSC**

What is the average of all the prime numbers between 70 and 90?

- A.
80

- B.
78.66

- C.
79

- D.
81.6

Answer: Option C

**Explanation** :

Workspace:

**12. SSC CGL 12th April Shift 2 - QA | Lines & Angles - SSC**

In △ABC,∠A = 88°. If I is the incentre of the triangle, then the measure of ∠BIC is:

- A.
112°

- B.
134°

- C.
56°

- D.
68°

Answer: Option B

**Explanation** :

Workspace:

**13. SSC CGL 12th April Shift 2 - QA | Simple Equation - SSC**

If a^{2} + b^{2} + 49c^{2} + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:

- A.
4

- B.
3

- C.
2

- D.
1

Answer: Option A

**Explanation** :

Workspace:

**14. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC**

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

Total number of employees = 2400.

In which office is the number of employees 600?

- A.
E

- B.
A

- C.
C

- D.
D

Answer: Option D

**Explanation** :

Workspace:

**15. SSC CGL 12th April Shift 2 - QA | Trigonometry - SSC**

The value of $\sqrt{\frac{cot\theta +\mathrm{cos}\theta}{cot\theta -\mathrm{cos}\theta}}$, 0° < θ < 90°, is equal to:

- A.
1 − sec θ + tan θ

- B.
1 − sec θ − tan θ

- C.
1 + sec θ − tan θ

- D.
1 + sec θ + tan θ

Answer: Option D

**Explanation** :

Workspace:

**16. SSC CGL 12th April Shift 2 - QA | Circles - SSC**

If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.

- A.
1 : 2

- B.
2 : 3

- C.
3 : 4

- D.
3 : 5

Answer: Option C

**Explanation** :

Workspace:

**17. SSC CGL 12th April Shift 2 - QA | Trigonometry - SSC**

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

- A.
cos

^{2}−1 - B.
sec

^{2}θ + 1 - C.
cot

^{2}θ − 1 - D.
sin

^{2}θ − 1

Answer: Option C

**Explanation** :

Workspace:

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

Sides AB and AC of △ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 78°, then the measure of ∠P is:

- A.
51°

- B.
61°

- C.
55°

- D.
56°

Answer: Option A

**Explanation** :

Workspace:

**19. SSC CGL 12th April Shift 2 - QA | Time, Speed & Distance - SSC**

A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed remaining parts of their journeys in 6$\frac{1}{8}$ hours and 8 hours, respectively. If the speed of A is 32 km/h, then the speed, in km/h, of B is:

- A.
21

- B.
28

- C.
30

- D.
25

Answer: Option B

**Explanation** :

Workspace:

**20. SSC CGL 12th April Shift 2 - QA | Tables & Graphs - SSC**

The following bar chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019.

Study the chart carefully and answer the question that follows.

The number of students enrolled in Camp A in 2016 and 2019 together is what percentage of the number of students enrolled in Camp B in 2015 and 2017 together?

- A.
64%

- B.
75%

- C.
60%

- D.
80%

Answer: Option A

**Explanation** :

Workspace:

**21. SSC CGL 12th April Shift 2 - QA | Coordinate Geometry - SSC**

A cyclic quadrilateral ABCD is drawn in a circle with centre O, A and C are joined to O. If ∠ABC = 2p and ∠ADC = 3p, what is the measure (in degrees) of the ∠AOC reflex?

- A.
200

- B.
245

- C.
210

- D.
216

Answer: Option D

**Explanation** :

Workspace:

**22. SSC CGL 12th April Shift 2 - QA | Number Theory - SSC**

If 8A5146B is divisible by 88, then what is the value of B - A?

- A.
0

- B.
-1

- C.
1

- D.
2

Answer: Option C

**Explanation** :

Workspace:

**23. SSC CGL 12th April Shift 2 - QA | Simple Equation - SSC**

If a + b + C = 6, a^{2} + b^{2} + c^{2} = 32, and a^{2} + b^{2} + c^{2} = 189, then the value of abc - 3 is:

- A.
2

- B.
3

- C.
1

- D.
0

Answer: Option D

**Explanation** :

Workspace:

**24. SSC CGL 12th April Shift 2 - QA | Percentage, Profit & Loss - SSC**

The cost prices of two articles A and B are in the ratio 4 : 5. While selling these articles, the shopkeeper gains 10% on article A and 20% on article B and the difference in their selling prices is ₹480. The difference in the cost price (in ₹) of articles B and A is:

- A.
250

- B.
300

- C.
400

- D.
350

Answer: Option B

**Explanation** :

Workspace:

**25. SSC CGL 12th April Shift 2 - QA | Number Theory - SSC**

$\frac{11}{5}$ of a number A is 22% of a number B. The number B is equal to 2.5% of a third number C. If the value of C is 5500, then the sum of 80% of A and 40% of B is:

- A.
88

- B.
75

- C.
48

- D.
66

Answer: Option D

**Explanation** :

Workspace: