# SSC CGL 21st April Shift 2 - QA

**1. SSC CGL 21st April Shift 2 - QA | Triangles - SSC**

In ∆ABC , the perpendiculars drawn from A, B and C meet the opposite sides at points D, E and F, respectively. AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then ∠AQB?

- A.
125°

- B.
135°

- C.
110°

- D.
115°

Answer: Option A

**Explanation** :

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**2. SSC CGL 21st April Shift 2 - QA | Circles - SSC**

AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠CAB = 52° and ∠ABD = 47°. What is the difference (in degrees) between the measures of ∠CAD and ∠CBD?

- A.
10

- B.
2

- C.
15

- D.
20

Answer: Option A

**Explanation** :

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**3. SSC CGL 21st April Shift 2 - QA | Time, Speed & Distance - SSC**

Two trains are running on parallel tracks in the same direction at the speed of 80 km/h and 90 km/h, respectively. The trains crossed each other in 3 minutes. If the length of one train is 230 m, then what is the length (in m) of the other train?

- A.
300

- B.
230

- C.
270

- D.
250

Answer: Option C

**Explanation** :

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**4. SSC CGL 21st April Shift 2 - QA | Trigonometry - SSC**

If $\frac{{\mathrm{sin}}^{2}\theta -3\mathrm{sin}\theta +2}{{\mathrm{cos}}^{2}\theta}=1,\; where\; 0\xb0\; \theta \; 90\xb0,then\; what\; is\; the\; value\; of\; (cos\; 2\theta \; -\; sin\; 3\theta \; +\; cosec\; 2\theta )$

- A.
$\frac{3-4\sqrt{3}}{6}$

- B.
$\frac{-3-4\sqrt{3}}{6}$

- C.
$\frac{-3+4\sqrt{3}}{6}$

- D.
$\frac{3+4\sqrt{3}}{6}$

Answer: Option C

**Explanation** :

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**5. SSC CGL 21st April Shift 2 - QA | Triangles - SSC**

In the following figure AD bisects angle BAC. Find the length (in cm) of BD.

- A.
5

- B.
4

- C.
9

- D.
6

Answer: Option B

**Explanation** :

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**6. SSC CGL 21st April Shift 2 - QA | Simplification - SSC**

Simplify [(5$\frac{1}{4}$ ÷ 3$\frac{1}{2}$ × $\frac{5}{12}$) - $\frac{3}{16}$] ÷ (3$\frac{4}{7}$ ÷ $\frac{5}{14}$ of 1$\frac{1}{3}$

- A.
$\frac{7}{32}$

- B.
$\frac{3}{32}$

- C.
$\frac{5}{32}$

- D.
$\frac{17}{32}$

Answer: Option A

**Explanation** :

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**7. SSC CGL 21st April Shift 2 - QA | Tables & Graphs - SSC**

Study the graph and answer the question that follows.

What is the ratio of the total number of workers whose daily wages are less than ₹450 to the total number of workers whose daily wages are ₹650 and above?

- A.
1 : 4

- B.
3 : 5

- C.
5 : 7

- D.
6 : 7

Answer: Option D

**Explanation** :

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**8. SSC CGL 21st April Shift 2 - QA | Mensuration - SSC**

A solid cone of radius 7 cm and height 7 cm was melted along with two solid spheres of radius 7 cm each to form a solid cylinder of radius 7 cm. What is the curved surface area (in cm²) of the cylinder?

(use π = 22/7)

- A.
2196

- B.
924

- C.
482

- D.
880

Answer: Option B

**Explanation** :

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**9. SSC CGL 21st April Shift 2 - QA | Tables & Graphs - SSC**

**The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.
Study the pie chart and table and answer the question that follows.**

****

The below table shows the ratio of girls and boys in the given five schools.

****

The number of girls in school D is what percentage less than the number of boys in school B ( correct to the nearest integer)?

- A.
35%

- B.
19%

- C.
27%

- D.
33%

Answer: Option D

**Explanation** :

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**10. SSC CGL 21st April Shift 2 - QA | Simple & Compound Interest - SSC**

What is the compound interest (in ₹) on a sum of ₹62,500 for 2 years at 12% p.a., if the inerest is compounded 8- monthly?

- A.
13,428

- B.
18,342

- C.
16,232

- D.
16,548

Answer: Option C

**Explanation** :

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**11. SSC CGL 21st April Shift 2 - QA | Average, Mixture & Alligation - SSC**

In the month of March, Dalip earned on an average ₹501 per day. For the first 18 days, his average earning was ₹495 and, for the last 15 days, his average earning was ₹505 . On 18th March, he earned ₹50 more than that earned on 17th March. How much (in ₹) did he earn on 18th March?

- A.
498

- B.
501

- C.
500

- D.
502

Answer: Option D

**Explanation** :

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**12. SSC CGL 21st April Shift 2 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper marks an article x% above the cost price and sells it by allowing 30% discount on the marked price. If there is a loss of 4.8%, then what is the value of x?

- A.
36

- B.
40

- C.
35

- D.
30

Answer: Option A

**Explanation** :

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**13. SSC CGL 21st April Shift 2 - QA | Percentage, Profit & Loss - SSC**

A person's salary was increased by 50% and subsequently decreased by 50%. How much percentage does he lose or gain?

- A.
Gain of 50%

- B.
Loss of 25%

- C.
Gain of 20%

- D.
Loss of 30%

Answer: Option B

**Explanation** :

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**14. SSC CGL 21st April Shift 2 - QA | Tables & Graphs - SSC**

**The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.
How many youth (in lakhs) are unemployed in states B and D taken together?**

- A.
3.25

- B.
4.5

- C.
3.5

- D.
4.25

Answer: Option C

**Explanation** :

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**15. SSC CGL 21st April Shift 2 - QA | Number Theory - SSC**

What is the sum of the numbers between 400 and 500 such that when they are divided by 6, 12 and 16, it leaves no remainder?

- A.
912

- B.
1024

- C.
960

- D.
480

Answer: Option A

**Explanation** :

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**16. SSC CGL 21st April Shift 2 - QA | Ratio, Proportion & Variation - SSC**

A and B entered into a partnership with investments in the ratio 3 : 5. After a few months, A withdrew and collected back his money. At the end of the year, they received profit in the ratio 2 : 5. After how many months did A withdraw?

- A.
6

- B.
9

- C.
7

- D.
8

Answer: Option D

**Explanation** :

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**17. SSC CGL 21st 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.

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

- A.
5 : 4

- B.
3 : 2

- C.
2 : 3

- D.
3 : 8

Answer: Option C

**Explanation** :

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**18. SSC CGL 21st April Shift 2 - QA | Time & Work - SSC**

A tyre has two punctures. The first puncture alone would have made the tyre flat in 45 minutes, and the second puncture alone would have done it in 90 minutes. If air leaks out at a constant rate, then how long (in minutes) does it take for both the punctures together to make the tyre flat?

- A.
30

- B.
45

- C.
15

- D.
40

Answer: Option A

**Explanation** :

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**19. SSC CGL 21st April Shift 2 - QA | Circles - SSC**

AB and CD are two chords in a circle with centre O and AD is the diameter. When produced, AB and CD meet at the point P. If ∠DAP = 27°, ∠APD = 35°, then what is the measure (in degrees) of ∠DBC?

- A.
30

- B.
28

- C.
32

- D.
26

Answer: Option B

**Explanation** :

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**20. SSC CGL 21st April Shift 2 - QA | Number Theory - SSC**

If a² + b² = 65 and ab = 8, a > b > 0, then find the value of a² - b².

- A.
60

- B.
65

- C.
72

- D.
63

Answer: Option D

**Explanation** :

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

A ladder 18 m long rests against a wall so that the angle between the ladder and the wall is 30°. How far (in m) is the base of the ladder from the wall?

- A.
9

- B.
9√3

- C.
18

- D.
18√3

Answer: Option A

**Explanation** :

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**22. SSC CGL 21st April Shift 2 - QA | Number Theory - SSC**

If x^{4} - 79x² + 1 = 0, then a value of x + x^{-1} can be:

- A.
7

- B.
5

- C.
9

- D.
8

Answer: Option C

**Explanation** :

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**23. SSC CGL 21st April Shift 2 - QA | Percentage, Profit & Loss - SSC**

The selling price of a mobile phone is ₹59,620 and it was sold at 8.4% profit. The cost price (in ₹) of the mobile phone is:

- A.
2,000

- B.
45,000

- C.
50,000

- D.
55,000

Answer: Option D

**Explanation** :

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**24. SSC CGL 21st April Shift 2 - QA | Trigonometry - SSC**

If cosec A = sec B, where A and B are acute angles, then what is the value of (A+ B)?

- A.
135°

- B.
0°

- C.
90°

- D.
15°

Answer: Option C

**Explanation** :

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**25. SSC CGL 21st April Shift 2 - QA | Number Theory - SSC**

If a nine-digit number 485x3678y is divisible by 72, then for the smallest value of x, the value of (2y - 3x) is:

- A.
9

- B.
11

- C.
8

- D.
6

Answer: Option C

**Explanation** :

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