# SSC CGL 11th April Shift 3 - QA

**1. SSC CGL 11th April Shift 3 - QA | Tables & Graphs - SSC**

**Performance of 1800 students in grades has been shown in the following pie chart.**

In which two grades taken together is the number of students 54 less than the number of students in grades B and E taken together?

- A.
C and E

- B.
B and D

- C.
A and E

- D.
C and D

Answer: Option A

**Explanation** :

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**2. SSC CGL 11th April Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average of 52, 71, 43, 22, a, and b is 55 and the average of 42, 45, 49, 51, 42, c, and d is 53 . What is the average of a, b, c, and d?

- A.
54.7

- B.
71

- C.
54

- D.
142

Answer: Option B

**Explanation** :

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**3. SSC CGL 11th April Shift 3 - 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. Which state has the maximum number of unemployed youth?

- A.
D

- B.
B

- C.
E

- D.
A

Answer: Option A

**Explanation** :

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**4. SSC CGL 11th April Shift 3 - QA | Simplification - SSC**

If x + 4 + $\sqrt{15}$, What is the value of $\left({x}^{2}+\frac{2}{{x}^{2}}\right)$

- A.
48

- B.
54

- C.
72

- D.
62

Answer: Option D

**Explanation** :

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**5. SSC CGL 11th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

A person sold an article at a loss of 18%. Had he sold it for ₹960 more, he would have gained 12%· If the article is sold for ₹3,840, then how much is the profit percentage'?

- A.
15%

- B.
24%

- C.
20%

- D.
21%

Answer: Option C

**Explanation** :

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**6. SSC CGL 11th April Shift 3 - QA | Triangles - SSC**

In △MN, the bisectors of ∠L and ∠N intersect at an angle of 112°. What is the measure (in degrees) of ∠M?

- A.
62

- B.
60

- C.
44

- D.
72

Answer: Option C

**Explanation** :

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**7. SSC CGL 11th April Shift 3 - QA | Time, Speed & Distance - SSC**

A boatman can row his boat in still water at a speed of 9 km/h. He can also row 44 km downstream and 35 km upstream in 9 hours. How much time (in hours) will he take to row 33 km downstream and 28 km upstream?

- A.
7

- B.
5

- C.
6

- D.
8

Answer: Option A

**Explanation** :

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**8. SSC CGL 11th April Shift 3 - QA | Lines & Angles - SSC**

In △ACDB and E are two points on side AC and AD respectively, such that BE is parallel to CD. CD = 9 cm. BE = 6 cm. AB= 5 cm and ED= 2cm. What are the measures of the lengths (in cm) of AE and BC?

- A.
4, 2.5

- B.
3, 4

- C.
4, 3

- D.
2.5, 4

Answer: Option A

**Explanation** :

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**9. SSC CGL 11th April Shift 3 - QA | Lines & Angles - SSC**

A kite is attached to a string. Find the length of the string (in m) when the height of the kite is 90 m and the string makes an angle of 30° with the ground.

- A.
180

- B.
90$\sqrt{3}$

- C.
45

- D.
60$\sqrt{3}$

Answer: Option A

**Explanation** :

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**10. SSC CGL 11th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

The reduction of 15% in the price of salt enables a person to buy 2 kg more for ₹72. The reduced price of salt per kg (in ₹) is:

- A.
20.40

- B.
22.16

- C.
24.25

- D.
25.00

Answer: Option A

**Explanation** :

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**11. SSC CGL 11th April Shift 3 - QA | Ratio, Proportion & Variation - SSC**

If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).

- A.
140

- B.
126

- C.
90

- D.
104

Answer: Option A

**Explanation** :

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**12. SSC CGL 11th April Shift 3 - QA | Simple & Compound Interest - SSC**

A sum of money was borrowed and paid back in two equal annual instalments of ₹980, allowing 4% compound interest. The sum (in₹, to the nearest tens) borrowed was:

- A.
1,850

- B.
1,960

- C.
1,760

- D.
2,050

Answer: Option A

**Explanation** :

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**13. SSC CGL 11th April Shift 3 - QA | Circles - SSC**

Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q,

∠TPQ = 42°. ∠PQT (in degrees) is:

- A.
48

- B.
45

- C.
42

- D.
60

Answer: Option A

**Explanation** :

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**14. SSC CGL 11th April Shift 3 - QA | Trigonometry - SSC**

If sec A = $\frac{17}{8}$, given that A < 90°, What is the value of following?

$\frac{34\mathrm{sin}A+15cotA}{68\mathrm{cos}A-16\mathrm{tan}A}$

- A.
23

- B.
19

- C.
30

- D.
38

Answer: Option B

**Explanation** :

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**15. SSC CGL 11th April Shift 3 - QA | Circles - SSC**

AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB. such that ∠CAB = 42° and ∠ABD = 57°. What is difference (in degrees) between the measures of ∠CAD and ∠CBD?

- A.
105 and 75

- B.
75 and 105

- C.
81 and 99

- D.
99 and 81

Answer: Option B

**Explanation** :

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**16. SSC CGL 11th April Shift 3 - QA | Simplification - SSC**

If a^{2} + b^{2} + c^{2} = 6.25 and (ab + be - ca) = 0.52. what is the value of (a + b + c). if (a + b + c) < 0 ?

- A.
±2.7

- B.
-2.7

- C.
-2.8

- D.
±2.8

Answer: Option B

**Explanation** :

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**17. SSC CGL 11th April Shift 3 - QA | Number Theory - SSC**

What is the greatest number by which when 156. 181 and 331 are divided, the remainder is 6 in each case?

- A.
26

- B.
17

- C.
25

- D.
13

Answer: Option C

**Explanation** :

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**18. SSC CGL 11th April Shift 3 - QA | Time & Work - SSC**

A can finish a piece of work in 48 days and B can finish it in 60 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?

- A.
6 days 4 hours

- B.
8 days 8 hours

- C.
6 days 6 hours

- D.
8 days 6 hours

Answer: Option D

**Explanation** :

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**19. SSC CGL 11th April Shift 3 - QA | Tables & Graphs - SSC**

The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020 respectively. What is the percentage increase or decrease in the number of students of Engineering in 2020 as compared to 2019? (correct to 2 decimal places)

- A.
10.55%

- B.
11.77%

- C.
10.77%

- D.
10.25%

Answer: Option C

**Explanation** :

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**20. SSC CGL 11th April Shift 3 - QA | Coordinate Geometry - SSC**

A 35 cm high bucket in the form ofn frustum is full of water. Radii of its lower and upper ends are 12 cm and 18 cm, respectively. If water from this bucket is poured in a cylindrical drum, whose base radius is 20 cm, then what will be the height of water (in cm) in the drum?

- A.
16.25

- B.
18.25

- C.
19.95

- D.
20.50

Answer: Option C

**Explanation** :

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**21. SSC CGL 11th April Shift 3 - QA | Tables & Graphs - SSC**

Study the given histogram that shows the height (in cm) of 100 students in an athletic team and answer the question that follows.

Express the number of students with height less than 170 cm as the percentage (correct to one decimal place) of the number of students with height more than 160 cm.

- A.
46.3%

- B.
73.5%

- C.
29.1%

- D.
53.7%

Answer: Option A

**Explanation** :

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**22. SSC CGL 11th April Shift 3 - QA | Trigonometry - SSC**

If tan^{2} A + 2 tan A - 63 = 0 Given that 0 < A < $\frac{\pi}{2}$ what is the value of (2 sin A + 5 cos A)?

- A.
19$\sqrt{50}$

- B.
15$\sqrt{50}$

- C.
$\frac{19}{\sqrt{50}}$

- D.
$\frac{15}{\sqrt{50}}$

Answer: Option C

**Explanation** :

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**23. SSC CGL 11th April Shift 3 - QA | Percentage, Profit & Loss - SSC**

In a manufacturing unit, it was noted that the price of raw material has increased by 25% and the labour cost has gone up from 30% of the cost of raw material to 38% of the cost of the raw material. What percentage of the consumption of raw material be reduced to keep the cost the same as that before the increase?

- A.
20.7%

- B.
30.2%

- C.
24.6%

- D.
25.5%

Answer: Option C

**Explanation** :

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**24. SSC CGL 11th April Shift 3 - QA | Number Theory - SSC**

If the 7-digit number x8942y4 is divisible by 56, what is the value of for the largest value of y, where x and y are natural numbers?

- A.
33

- B.
44

- C.
55

- D.
70

Answer: Option C

**Explanation** :

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**25. SSC CGL 11th April Shift 3 - QA | Simplification - SSC**

Simplify the following expression:

$\frac{3{\displaystyle \frac{1}{2}}+5{\displaystyle \frac{1}{3}}\xf71{\displaystyle \frac{1}{3}}\times 5{\displaystyle \frac{1}{4}}-5{\displaystyle \frac{1}{2}}}{1{\displaystyle \frac{1}{2}}\times 1{\displaystyle \frac{2}{3}}-6{\displaystyle \frac{1}{2}}}$

- A.
$\frac{13}{147}$

- B.
29$\frac{9}{32}$

- C.
-1$\frac{5}{14}$

- D.
-$\frac{5}{28}$

Answer: Option C

**Explanation** :

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