# SSC CGL 16th August Shift 2 - QA

**1. SSC CGL 16th August Shift 2 - QA | Simple Equation - SSC**

If 4x^{4} - 37x^{2} + 9 = 0, x > $\sqrt{\frac{3}{2}}$, then what is the value of 8x^{3} - $\frac{27}{{x}^{3}}$?

- A.
35

- B.
215

- C.
-215

- D.
-35

Answer: Option B

**Explanation** :

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**2. SSC CGL 16th August Shift 2 - QA | Simple Equation - SSC**

If a - $\frac{12}{a}$ = 1, where a > 0, then the value of a^{2} + $\frac{16}{{a}^{2}}$ is:

- A.
15

- B.
17

- C.
19

- D.
11

Answer: Option B

**Explanation** :

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**3. SSC CGL 16th August Shift 2 - QA | Tables & Graphs - SSC**

Table shows income (in ₹) received by 4 employees of a company during the month of December 2020 and all their income sources.

- A.
45

- B.
48

- C.
40.9

- D.
38

Answer: Option D

**Explanation** :

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**4. SSC CGL 16th August Shift 2 - QA | Tables & Graphs - SSC**

The bar graph shows the number of students enrolled for a science course in institutes A and B during 5 years from 2014 to 2018

What is the ratio of the total numbers of students enrolled in institute B in 2015 and 2017 to that of students enrolled in institute A in 2014 and 2016?

- A.
111 : 91

- B.
91 : 111

- C.
93 : 137

- D.
137 : 92

Answer: Option D

**Explanation** :

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**5. SSC CGL 16th August Shift 2 - QA | Time, Speed & Distance - SSC**

A train leaves station A at 8 am and reaches station B at 12 noon. A car leaves station B at 8:30 am and reaches station A at the same time when the train reaches station B. At what time do they meet?

- A.
10 : 22 am

- B.
10 : 08 am

- C.
9 : 38 am

- D.
9 : 52 am

Answer: Option B

**Explanation** :

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**6. SSC CGL 16th August Shift 2 - QA | Simplification - SSC**

The value of 3$\frac{5}{6}$ + $\left[3\frac{2}{3}+\left\{\frac{15}{4}\left(5\frac{4}{5}\xf714\frac{1}{2}\right)\right\}\right]$ is equal to:

- A.
6

- B.
7

- C.
9

- D.
8

Answer: Option C

**Explanation** :

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**7. SSC CGL 16th August Shift 2 - QA | Trigonometry - SSC**

In △ABC, AB = 20 cm, BC = 21 cm and AC = 29 m. What is the value of cot C + cosec C − 2 tan A?

- A.
$\frac{3}{5}$

- B.
$\frac{9}{20}$

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

- D.
$\frac{7}{20}$

Answer: Option C

**Explanation** :

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**8. SSC CGL 16th August Shift 2 - QA | Triangles - SSC**

In a triangle ABC, point D lies on AB, and points E and F lie on BC suchthat DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, CF = 3 cm, then find the length (in cm) of EF.

- A.
5

- B.
3

- C.
2

- D.
1.5

Answer: Option C

**Explanation** :

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**9. SSC CGL 16th August Shift 2 - QA | Time & Work - SSC**

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 4 days B had to leave. Then A working with a new worker C completed the remaining work in 3 days. If C works alone, in how many days he can do 40% of the same work?

- A.
9

- B.
8$\frac{1}{2}$

- C.
8

- D.
10

Answer: Option A

**Explanation** :

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**10. SSC CGL 16th August Shift 2 - QA | Lines & Angles - SSC**

If one of the angles of a triangle is 74°, then the angle between the bisectors of the other two interior angles is:

- A.
53°

- B.
106°

- C.
127°

- D.
16°

Answer: Option C

**Explanation** :

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**11. SSC CGL 16th August Shift 2 - QA | Trigonometry - SSC**

$\frac{co{t}^{3}\theta}{\mathrm{cos}e{c}^{2}\theta}$ + $\frac{{\mathrm{tan}}^{3}\theta}{se{c}^{2}\theta}$ + 2 sin θ cos θ = ?

- A.
cosec θ sec θ

- B.
sin θ cos θ

- C.
cosec

^{2}θ sec^{2}θ - D.
sin

^{2}θ cos θ

Answer: Option A

**Explanation** :

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

If the nine-digit number 7p5964q28 is completelydivisible by 88, whatis the value of (p^{2} - q), forthe largest value of q, where p and q are natural numbers?

- A.
81

- B.
9

- C.
0

- D.
72

Answer: Option D

**Explanation** :

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**13. SSC CGL 16th August Shift 2 - QA | Tables & Graphs - SSC**

Table shows the number of trees planted in 4 cities from 2016 to 2020.

In which year were the maximum number of trees planted?

- A.
2016

- B.
2020

- C.
2017

- D.
2018

Answer: Option C

**Explanation** :

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**14. SSC CGL 16th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Chamanial, Arshad and Jagjit Singh contested an election. All the votes polled were valid. Arshad got 35% ofthe total votes. For every 35 votes Chamanilal got 14 votes. The winner got 4950 more votes than the person who received the least number of votes. Find the total number of votes polled.

- A.
99000

- B.
33000

- C.
13378

- D.
38000

Answer: Option B

**Explanation** :

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**15. SSC CGL 16th August Shift 2 - QA | Lines & Angles - SSC**

AB is a diameter of a circle. C and D are points on the opposite sides of the diameter AB, such that ∠ACD = 25°. E is a point on the minor are BD. Find the measure of ∠BED (in degrees).

- A.
105

- B.
125

- C.
130

- D.
115

Answer: Option D

**Explanation** :

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**16. SSC CGL 16th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Three shopkeepers A, B and C marked an identical article at ₹4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in Rs)?

- A.
C, 1780

- B.
C, 1783.40

- C.
B, 1800

- D.
A, 1735.20

Answer: Option B

**Explanation** :

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**17. SSC CGL 16th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

Hridaya opened her piggy bank and found coins of denomination ₹1, ₹2, ₹5 and ₹10 in the ratio 10 : 5 : 2 : 1. If there are 72 coins in all, then how much money (in ₹) was there in the piggy bank in the form of coins?

- A.
100

- B.
72

- C.
160

- D.
90

Answer: Option C

**Explanation** :

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**18. SSC CGL 16th August Shift 2 - QA | Simple & Compound Interest - SSC**

A sum at a certain rate of simple interest becomes ₹14880 after 3 years and ₹16800 after 5 years. Find the simple interest on the same sum at 10%per annum for 4 years (in ₹).

- A.
5184

- B.
4860

- C.
4800

- D.
4740

Answer: Option C

**Explanation** :

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**19. SSC CGL 16th August Shift 2 - QA | Circles - SSC**

From an external point A, two tangents AB and AC have been drawnto a circle touching the circle at B and C respectively. P and Q are points on AB and AC respectively such that PQ touches the circle at R. If AB = 11 cm, AP = 7 cm and AQ = 9 cm, then find the length of PQ (in cm).

- A.
7

- B.
5

- C.
8

- D.
6

Answer: Option D

**Explanation** :

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**20. SSC CGL 16th August Shift 2 - QA | Ratio, Proportion & Variation - SSC**

What is the ratio of the average of first eight prime numbers to the average of first ten even natural numbers?

- A.
7 : 8

- B.
1 : 7

- C.
7 : 80

- D.
8 : 70

Answer: Option A

**Explanation** :

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**21. SSC CGL 16th August Shift 2 - QA | Tables & Graphs - SSC**

The following Pie chart represents the percentage-wise distribution of 300 students of class X in a schoolin six different sections A, B, C, D, E and F.

The table given below shows the number of boys of class X in six different sections A, B, C, D, E and F.

If in section E, the ratio of the number of boys to the number of girls is 3 : 4, then the ratio of number of boys in section E to the number of girls in section is :

- A.
23 : 18

- B.
23 : 24

- C.
24 : 23

- D.
18 : 23

Answer: Option D

**Explanation** :

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**22. SSC CGL 16th August Shift 2 - QA | Coordinate Geometry - SSC**

A heap of wheat is in the form of a cone whose base diameter is 8.4 m and height is 1.75 m. The heap is to be covered by canvass. What is the area (in m_{2}) of the canvas required?

(Use π = 22/7)

- A.
60.06

- B.
60.6

- C.
115.05

- D.
115.5

Answer: Option A

**Explanation** :

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**23. SSC CGL 16th August Shift 2 - QA | Trigonometry - SSC**

If 2 sin(3x - 15)° = 1, 0° < (3x - 15) < 90°, then find the value of cos^{2} (2x + 15)° + cot^{2} (x + 15)°.

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

- B.
1

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

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

Answer: Option A

**Explanation** :

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**24. SSC CGL 16th August Shift 2 - QA | Simple Equation - SSC**

If (16$\sqrt{2}$x^{3} + 81$\sqrt{3}$y^{3}) ÷ (2$\sqrt{2}$x + 3$\sqrt{3}$y) = Ax^{2} + By^{2} + Cxy, then find the value of 2A - 3B - 2$\sqrt{6}$C.

- A.
25

- B.
7

- C.
137

- D.
79

Answer: Option B

**Explanation** :

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**25. SSC CGL 16th August Shift 2 - QA | Percentage, Profit & Loss - SSC**

Radha purchased a Computer table for ₹10000 anda Centre table for ₹5000. She sold Computer table with 8% profit. With whatprofit percent should she sell the Centre table so as to gain 10% on the whole transaction?

- A.
12%

- B.
10%

- C.
14%

- D.
18%

Answer: Option C

**Explanation** :

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