# SSC CGL 18th August Shift 2 - QA

**1. SSC CGL 18th August Shift 2 - QA | Simplification - SSC**

If x + y + z = 1, xy + yz + zx = xyz = −4, then what is the value of (x^{3} + y^{3} + z^{3})?

- A.
8

- B.
-8

- C.
1

- D.
-1

Answer: Option C

**Explanation** :

Workspace:

**2. SSC CGL 18th August Shift 2 - QA | Simple Equation - SSC**

What is the constant term in the expansion of ${\left(5{x}^{2}-\frac{1}{x}\right)}^{3}$?

- A.
15

- B.
5

- C.
75

- D.
-15

Answer: Option A

**Explanation** :

Workspace:

**3. SSC CGL 18th August Shift 2 - QA | Triangles - SSC**

In a trapezium PQRS, PQ is parallel to RS and diagonals PR and QS intersect at O. If PQ = 4 cm. SR = 10 cm, then what is area (△POQ) : area (△SOR)?

- A.
2 : 3

- B.
2 : 5

- C.
4 : 25

- D.
4 : 9

Answer: Option C

**Explanation** :

Workspace:

**4. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper buys an article at 30% discount on its marked price and sells it at 5% discount onits marked price. If he earns a profit of ₹65, then whatis the marked price (in ₹) of the article?

- A.
227.50

- B.
325

- C.
260

- D.
292.50

Answer: Option C

**Explanation** :

Workspace:

**5. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC**

If tan θ = $\sqrt{5}$, the the value of $\frac{\mathrm{cos}e{c}^{2}\theta +se{c}^{2}\theta}{\mathrm{cos}e{c}^{2}\theta -se{c}^{2}\theta}$ is:

- A.
-$\frac{7}{5}$

- B.
$\frac{7}{5}$

- C.
-$\frac{3}{2}$

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

Answer: Option C

**Explanation** :

Workspace:

**6. SSC CGL 18th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

A sum of ₹6342 is divided amongst A, B, C and in theratio 3 : 4: 8 : 6. What is the difference between the shares of B and D?

- A.
₹906

- B.
₹1510

- C.
₹302

- D.
₹604

Answer: Option D

**Explanation** :

Workspace:

**7. SSC CGL 18th August Shift 2 - QA | Simplification - SSC**

If x^{2} - 5$\sqrt{2}$x + 1 = 0, then what is the value of $\frac{\left({x}^{3}+{\displaystyle \frac{1}{x}}\right)}{{x}^{2}+1}$?

- A.
$\frac{24\sqrt{2}}{5}$

- B.
$\frac{12\sqrt{2}}{5}$

- C.
$\frac{18\sqrt{2}}{5}$

- D.
$\frac{26\sqrt{2}}{5}$

Answer: Option A

**Explanation** :

Workspace:

**8. SSC CGL 18th August Shift 2 - QA | Simplification - SSC**

Simplify the following expression:

6 ÷ 4 of 3 − 4 ÷ 6 × (13 − 10) − 2 × 15 ÷ 6 × 6

- A.
-27$\frac{1}{2}$

- B.
-19$\frac{1}{2}$

- C.
-29$\frac{14}{17}$

- D.
-31$\frac{1}{2}$

Answer: Option D

**Explanation** :

Workspace:

**9. SSC CGL 18th August Shift 2 - QA | Simple & Compound Interest - SSC**

A sum of ₹3125 amounts to 3515.20 in 3 years at x %p.a., interest being compounded yearly. What will be the simple interest (in ₹) on the same sum and for the same time at (x + 2) %p.a.?

- A.
562.50

- B.
554

- C.
550

- D.
565.50

Answer: Option A

**Explanation** :

Workspace:

**10. SSC CGL 18th August Shift 2 - QA | Time & Work - SSC**

A can complete a work in 60 days. B is 25% more efficient than A. They work together for 15 days. C alone completes the remaining work in 14 days. B and C together will complete $\frac{5}{8}$th part of the original work in:

- A.
18 days

- B.
15 days

- C.
16 days

- D.
12 days

Answer: Option D

**Explanation** :

Workspace:

**11. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

By selling an article for ₹131.25, a trader gains as much percent as the number representing the cost price of the article. In order to earn 40% profit, at what price (in ₹) should hesell the article?

- A.
140

- B.
105

- C.
75

- D.
100

Answer: Option B

**Explanation** :

Workspace:

**12. SSC CGL 18th August Shift 2 - QA | Coordinate Geometry - SSC**

The cost of tiling the floor of a rectangular room is ₹9100 at ₹65 per m^{2}. The ratio of the length and breadth of the floor is 7 : 5. The perimeter (in m ) of the floor of the room is:

- A.
36

- B.
24

- C.
48

- D.
28.8

Answer: Option C

**Explanation** :

Workspace:

**13. SSC CGL 18th August Shift 2 - QA | Average, Mixture & Alligation - SSC**

The average of ten numbers is 32.5. The averageoffirst four numbers is 25.6 and thatofthe last three numbers is 38.2. The 5th number is 50% more than the 6th number and 8 less than the 7th number. Whatis the average of 5th and 7th numbers?

- A.
42

- B.
41

- C.
42.4

- D.
41.5

Answer: Option D

**Explanation** :

Workspace:

**14. SSC CGL 18th August Shift 2 - QA | Lines & Angles - SSC**

ABCD is a cyclic quadrilateral. AB and DC meet at F, when produced. AD and BC meetat E, when produced. If ∠BAD = 68° and ∠AEB = 27°, then whatis the measure of ∠BFC?

- A.
27°

- B.
22°

- C.
17°

- D.
15°

Answer: Option C

**Explanation** :

Workspace:

**15. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC**

Medicines of three different flavors - A, B and C (in lakh bottles) manufactured by a pharmaceutical company over a period of five years from 2010 to 2014 is given in the bar graph.

Production of flavor A in 2012 is what percent less than the average production of flavor B in all the years (correct to 2 decimal places)?

- A.
3.87

- B.
4.66

- C.
6.98

- D.
5.66

Answer: Option D

**Explanation** :

Workspace:

**16. SSC CGL 18th August Shift 2 - QA | Number Theory - SSC**

If the 5-digit number 688xy is divisible by 3, 7 and 11, then what is the value of (5x + 3y)?

- A.
36

- B.
23

- C.
43

- D.
39

Answer: Option D

**Explanation** :

Workspace:

**17. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC**

If 5 sin^{2} θ - 4 cos θ - 4 = 0, 0° < θ < 90°, then the value of (cot θ + cosec θ) is:

- A.
$\frac{\sqrt{6}}{2}$

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

- C.
$\frac{3}{2}$

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

Answer: Option A

**Explanation** :

Workspace:

**18. SSC CGL 18th August Shift 2 - QA | Time, Speed & Distance - SSC**

Suman travels from place X to Y and Rekha travels from Y to X, simultaneously. After meeting on the way, Suman and Rekha reach Yand X, in 3 hours 12 minutes and one hour 48 minutes, respectively. If the speed of Rekha is 9 km/h, then the speed (in km/h) of Suman is:

- A.
7$\frac{1}{2}$

- B.
8

- C.
6

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

Answer: Option D

**Explanation** :

Workspace:

**19. SSC CGL 18th August Shift 2 - QA | Triangles - SSC**

△ABC is an equilateral triangle. D is a point on side BC such that BD : BC = 1 : 3. If AD = 5$\sqrt{7}$ cm, then the side of the triangle is:

- A.
20 cm

- B.
18 cm

- C.
15 cm

- D.
12 cm

Answer: Option C

**Explanation** :

Workspace:

**20. SSC CGL 18th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

The income of A is 20% less than the incomeofB and the incomeofC is 70%of the sum of incomes of A and B. The incomeof D is 25%more than the income ofC.If the difference between the incomes of B and D is ₹23000, then what is the income(in ₹) of A?

- A.
28000

- B.
26000

- C.
32000

- D.
25000

Answer: Option C

**Explanation** :

Workspace:

**21. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC**

Study the following table and answer the question:

Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

The average number of cars sold by dealer C in February. April and May exceeds the number of cars sold by the dealer E in January by x . The value of x lies between

- A.
55 and 60

- B.
40 and 45

- C.
45 and 50

- D.
50 and 55

Answer: Option D

**Explanation** :

Workspace:

**22. SSC CGL 18th August Shift 2 - QA | Trigonometry - SSC**

In △PQR,∠Q = 90°. If tan R = $\frac{1}{3}$, then what is the value of $\frac{secP(\mathrm{cos}R+\mathrm{sin}P)}{\mathrm{cos}ecR(\mathrm{sin}R-\mathrm{cos}ecP)}$?

- A.
$\frac{18}{7}$

- B.
-$\frac{18}{7}$

- C.
-$\frac{2}{7}$

- D.
$\frac{2}{7}$

Answer: Option B

**Explanation** :

Workspace:

**23. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC**

Study the following table and answer the question:

Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

80% the total number of cars sold by dealers B and E in April is what percent less than the total number of cars sold by the dealers C and D in February?

- A.
15%

- B.
12.5%

- C.
17.5%

- D.
16%

Answer: Option C

**Explanation** :

Workspace:

**24. SSC CGL 18th August Shift 2 - QA | Tables & Graphs - SSC**

Bar graph shows the number of students enrolled for a vocational course in institutes A and B during 5 years.

The average number of students enrolled in institute A during 2014, 2016 and 2018 is what percent less than the number of students enrolled in institute B during 2017 (correct to two decimal places)?

- A.
29.17%

- B.
32.75%

- C.
26.15%

- D.
22.46%

Answer: Option C

**Explanation** :

Workspace:

**25. SSC CGL 18th August Shift 2 - QA | Circles - SSC**

Achord AB of circle C_{1}, of radius 17 cm touches circle C_{2}, which is concentric to C_{2}. The radius of C_{2}, is 8 cm. What is the length (in cm) of AB?

- A.
25

- B.
20

- C.
30

- D.
24

Answer: Option C

**Explanation** :

Workspace: