# SSC CGL 17th August Shift 1 - QA

**1. SSC CGL 17th August Shift 1 - QA | Triangles - SSC**

In △ABC, D and E are the points on sides AB and AC, respectively and DE || BC, BC = 8 cm and DE = 5 cm. If the area of △ADE = 45 cm^{2}, then what is the area (in cm^{2}) of △ABC?

- A.
115.2

- B.
105.2

- C.
125

- D.
64

Answer: Option A

**Explanation** :

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**2. SSC CGL 17th August Shift 1 - QA | Triangles - SSC**

A △ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.

- A.
13

- B.
9

- C.
11

- D.
12

Answer: Option B

**Explanation** :

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**3. SSC CGL 17th August Shift 1 - QA | Time & Work - SSC**

Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same workin 11 days. In how many days can 7 men complete the same work?

- A.
11

- B.
22

- C.
12

- D.
24

Answer: Option B

**Explanation** :

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**4. SSC CGL 17th August Shift 1 - QA | Triangles - SSC**

In a triangle ABC,a point D lies on AB and points E andF lie on BC suchthat DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6cm, then find the length (in cm) of BC.

- A.
30

- B.
20

- C.
25

- D.
15

Answer: Option C

**Explanation** :

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**5. SSC CGL 17th August Shift 1 - QA | Simplification - SSC**

The value of 32 ÷ 12 of 3 × [5 − (15 − 12) ÷ 9] of $\frac{3}{7}$ + 4 - 8 ÷ 2 of 4 is:

- A.
3$\frac{1}{3}$

- B.
4$\frac{7}{9}$

- C.
3$\frac{1}{6}$

- D.
1$\frac{7}{9}$

Answer: Option B

**Explanation** :

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**6. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

A certain number of students from school X appeared in an examination and 20% students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students appeared from from both the schools passed, then what is the percentage of students from school Y whofailed (correct to one decimal place)?

- A.
6.4%

- B.
10%

- C.
5.7%

- D.
8.3%

Answer: Option C

**Explanation** :

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**7. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC**

The table shows the daily income (in ₹) of 50 persons.

How many persons earn ₹200 or more but less than ₹300?

- A.
12

- B.
38

- C.
22

- D.
8

Answer: Option C

**Explanation** :

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**8. SSC CGL 17th August Shift 1 - QA | Simple & Compound Interest - SSC**

Asum of ₹ 31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The share (in ₹) of B is:

- A.
9024

- B.
12690

- C.
10152

- D.
8460

Answer: Option A

**Explanation** :

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**9. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC**

Find the value of $\frac{3}{4}$ cot^{2} 30° + cos^{2} 30° - 3 cosec^{2} 60° + tan^{2} 60°

- A.
-4

- B.
10

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

- D.
2

Answer: Option D

**Explanation** :

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**10. SSC CGL 17th August Shift 1 - QA | Simple & Compound Interest - SSC**

A certain sum becomes ₹13650 at 15% p.a. simple interest after 2 years. What will be the amount(in ₹) of the same sum after 1 year at the same rate of interest, if the interest is compounded half yearly?

(nearest to a ₹)

- A.
12134

- B.
10500

- C.
13625

- D.
11000

Answer: Option A

**Explanation** :

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**11. SSC CGL 17th August Shift 1 - QA | Circles - SSC**

In a circle with centre O, PAX and PBY are the tangents to the circle at points A and B, from an external point P. Q is any point on the circle such that ∠QAX = 59° and ∠QBY = 72°. What is the measure of ∠AQB?

- A.
31°

- B.
72°

- C.
49°

- D.
59°

Answer: Option C

**Explanation** :

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**12. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

By selling an article for 640, a person loses 15% ofits selling price. At whatprice (in 2) should he sell it to gain 15% on its cost price?

- A.
832

- B.
846.40

- C.
835

- D.
836.60

Answer: Option B

**Explanation** :

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**13. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC**

Study the following table and answer the question:

Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

The ratio of the total number of students enrolled for VC in institutes A, C and E in 2015 to the total number of students enrolled in institutes B and D in 2017, is:

- A.
9 : 10

- B.
3 : 4

- C.
3 : 2

- D.
10 : 11

Answer: Option C

**Explanation** :

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**14. SSC CGL 17th August Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price ofan article is ₹1500. A shopkeeper sells it by giving 20% discount on its marked price.If the cost price ofthe article is ₹991, then his profit(in ₹) is:

- A.
209

- B.
319

- C.
229

- D.
189

Answer: Option A

**Explanation** :

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**15. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC**

$\left(\sqrt{se{c}^{2}\theta +\mathrm{cos}e{c}^{2}\theta}\right)$ $\left(\frac{\mathrm{sin}\theta (1+\mathrm{cos}\theta )}{1+\mathrm{cos}\theta -{\mathrm{sin}}^{2}\theta}\right)$, 0° < θ < 90° is equal to:

- A.
sec

^{2}θ - B.
cosec

^{2}θ - C.
cot θ

- D.
tan θ

Answer: Option A

**Explanation** :

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**16. SSC CGL 17th August Shift 1 - QA | Simplification - SSC**

If x + y + z = 7, x^{2} + y^{2} + z^{2} = 85 and x^{3} + y^{3} + z^{3} = 913, then the value of $\sqrt[3]{xyz}$ is:

- A.
1

- B.
2

- C.
4

- D.
8

Answer: Option C

**Explanation** :

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**17. SSC CGL 17th August Shift 1 - QA | Time & Work - SSC**

A takes 8 hours more than the time taken by B to covera distance of 160 km. IfA doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km/h) of is:

- A.
72

- B.
70

- C.
75

- D.
80

Answer: Option D

**Explanation** :

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**18. SSC CGL 17th August Shift 1 - QA | Coordinate Geometry - SSC**

The curved surface area of a cylinder is 462 cm^{2} and its base area is 346.5 cm^{2}. What is the volume (in cm^{3}) of the cylinder?

(Use π = $\frac{22}{7}$)

- A.
2400

- B.
2425.5

- C.
4800

- D.
4850

Answer: Option B

**Explanation** :

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**19. SSC CGL 17th August Shift 1 - QA | Number Theory - SSC**

If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y?

- A.
35

- B.
37

- C.
23

- D.
21

Answer: Option B

**Explanation** :

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

The average of 8 consecutive even numbers written in ascending order is 17. What is the average ofthe last three numbers, 36 and 53?

- A.
31

- B.
32.2

- C.
31.6

- D.
29.8

Answer: Option A

**Explanation** :

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**21. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC**

The data given in the table shows the number of students studying in four different disciplines in 5 institutes. Study the table and answer the question:

By what percent is the number of students studying Computer Science in institutes A and B more than the number of students studying Arts in institutes B and C?

- A.
5

- B.
14

- C.
2

- D.
24

Answer: Option A

**Explanation** :

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**22. SSC CGL 17th August Shift 1 - QA | Simple Equation - SSC**

If a^{2} + c^{2} + 17 = 2(a - 8b - 2b^{2}), then what is the value of (a^{3} + b^{3} + c^{3})?

- A.
-7

- B.
9

- C.
10

- D.
-4

Answer: Option A

**Explanation** :

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**23. SSC CGL 17th August Shift 1 - QA | Tables & Graphs - SSC**

Study the following table and answer the question:

Number of students enrolled for Vocational Courses (VC) in institutes A, B, C. D, E & F.

The total number of students enrolled for VC in institutes B, C and E in 2015 is x %more than the total number of students enrolled in institutes A, D and F in 2016. The value of x is closest to:

- A.
10.3

- B.
11.8

- C.
10.8

- D.
11.1

Answer: Option D

**Explanation** :

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**24. SSC CGL 17th August Shift 1 - QA | Trigonometry - SSC**

If cos(A - B) = $\frac{\sqrt{3}}{2}$ and cot(A + B) = $\frac{1}{\sqrt{3}}$ Where A - B and A + B are acute angles, then (2A - 3B) is equal to:

- A.
45°

- B.
30°

- C.
15°

- D.
60°

Answer: Option A

**Explanation** :

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**25. SSC CGL 17th August Shift 1 - QA | Simplification - SSC**

If (54$\sqrt{2}$x^{3} + 24$\sqrt{3}$y^{3}) ÷ ($\sqrt{18}$x + $\sqrt{12}$y) = Ax^{2} + by^{2} + Cxy, then what is the value of A^{2} - (B^{2} + C^{2})?

- A.
12

- B.
-36

- C.
-24

- D.
24

Answer: Option B

**Explanation** :

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