# SSC CGL 21st April Shift 3 - QA

**1. SSC CGL 21st April Shift 3 - QA | Trigonometry - SSC**

If sec² α + 4 cos² α = 4 and 0° ≤ α ≤ 90°, then find the value of α

- A.
45°

- B.
60°

- C.
30°

- D.
0°

Answer: Option A

**Explanation** :

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**2. SSC CGL 21st April Shift 3 - QA | Time & Work - SSC**

If 35 men can finish a work in 6 days, then in how many days can 7 men do half of the same work?

- A.
60

- B.
15

- C.
30

- D.
17

Answer: Option B

**Explanation** :

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

Monthly expenditure of a family on different heads is shown in the following pie chart. The family earns ₹1,08,000 every month.

What is the amount spent on Rent every month (in ₹)?

- A.
17,500

- B.
18,000

- C.
21,000

- D.
15,000

Answer: Option B

**Explanation** :

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**4. SSC CGL 21st April Shift 3 - QA | Circles - SSC**

In a circle with centre O, PQ and QR are two chords such that ∠PQR = 118°. What is the value of ∠OPR?

- A.
31°

- B.
28°

- C.
36°

- D.
26°

Answer: Option B

**Explanation** :

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**5. SSC CGL 21st April Shift 3 - QA | Mensuration - SSC**

A 22.5 m high tent is in the shape of a frustum of a cone surmounted by a hemisphere. If the diameters of the upper and the lower circular ends of the frustum are 21 m and 39 m, respectively, then find the area of the cloth (in m²) used to make the tent (ignoring the wastage).

(Use π = 22/7)

- A.
2800 2/7

- B.
787 2/7

- C.
1635 6/7

- D.
2107 2/7

Answer: Option D

**Explanation** :

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

A 240-m long train crosses a 360-m long tunnel in 30 seconds. What is th e speed of the train (in km/h)?

- A.
28.8

- B.
43.2

- C.
72

- D.
60

Answer: Option C

**Explanation** :

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**7. SSC CGL 21st April Shift 3 - QA | Simple Equation - SSC**

Ankita's weight is 20% less than that of her grandmother. The grandmother weight 26 kg less than grandmother's husband, whose weight is 81 kg. If Ankita's brother is 8 kg heavier than Ankita, then what is the weight (in kg) of Anikita's brother?

- A.
60

- B.
19

- C.
36

- D.
52

Answer: Option D

**Explanation** :

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**8. SSC CGL 21st April Shift 3 - QA | Circles - SSC**

AB is a chord of a circle with centre O. C is a point on the circle in the minor sector. If ∠ABO = 50°, then what is the degree measure of ∠ACB?

- A.
100°

- B.
110°

- C.
140°

- D.
130°

Answer: Option C

**Explanation** :

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**9. SSC CGL 21st April Shift 3 - QA | Triangles - SSC**

In a triangle ABC, points P and Q are on AB and AC, respectively, such that AP= 4 cm, PB = 6 cm, AQ = 5 cm and QC = 7.5 cm. If PQ = 6 cm, then find BC (in cm).

- A.
10

- B.
12

- C.
15

- D.
9

Answer: Option C

**Explanation** :

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**10. SSC CGL 21st April Shift 3 - QA | Percentage, Profit & Loss - SSC**

A reduction of 15% in the price of wheat enables a housewife to buy 6 kg more for ₹2,720. The reduced price of wheat per kg (in ₹) is:

- A.
68

- B.
75

- C.
65

- D.
70

Answer: Option A

**Explanation** :

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**11. SSC CGL 21st April Shift 3 - QA | Percentage, Profit & Loss - SSC**

A vegetable vendor sold 1 kg of potatoes for ₹25 and earned 25% profit. In the evening, he started selling potatoes with only 10% profit. At what cost (in ₹) per kg did he sell the potatoes in the evening?

- A.
20

- B.
21

- C.
22

- D.
24

Answer: Option C

**Explanation** :

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**12. SSC CGL 21st April Shift 3 - QA | Simple & Compound Interest - SSC**

A borrows a sum of ₹90,000 for 4 years at 5% simple interest. He lends it to B at 7% for 4 years at simple interest. What is his gain (in ₹)?

- A.
8,000

- B.
9,000

- C.
7,500

- D.
7,200

Answer: Option D

**Explanation** :

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**13. SSC CGL 21st April Shift 3 - QA | Triangles - SSC**

The perimeters of two similar ∆ABC and ∆PQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the areas of ∆ABC and ∆PQR?

- A.
16 : 1

- B.
1 : 16

- C.
4 : 1

- D.
1 : 4

Answer: Option A

**Explanation** :

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**14. SSC CGL 21st April Shift 3 - QA | Number Theory - SSC**

If 4x - 3y = 12 and xy = 5, then find the value of

$\frac{16{x}^{2}+9{y}^{2}}{8}$

- A.
44

- B.
18

- C.
33

- D.
3

Answer: Option C

**Explanation** :

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**15. SSC CGL 21st April Shift 3 - QA | Number Theory - SSC**

LCM and HCF of two numbers are 90 and 15, respectively. If the sum of the two numbers is 75, then find the greater number.

- A.
75

- B.
90

- C.
45

- D.
60

Answer: Option C

**Explanation** :

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**16. SSC CGL 21st April Shift 3 - QA | Tables & Graphs - SSC**

**Study the histogram and answer the question given below.**

The graph represents the number of students obtaining a percentage of marks in class X Board examination in 2018 in a

school.

The number of students who have secured less than 60% marks is what per cent less than the number of students who have

secured 80% marks and above?

- A.
37.4%

- B.
33.5%

- C.
38.5%

- D.
29.7%

Answer: Option C

**Explanation** :

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**17. SSC CGL 21st April Shift 3 - QA | Average, Mixture & Alligation - SSC**

Ras Bihari, a plumber, earned on an average ₹925 per day in the month of January. He earned on an average ₹881 per day during the first 20 days and ₹915 per day during the last 20 days. What was his average income (in ₹) per day from 12th January to January?

- A.
800

- B.
805

- C.
875

- D.
795

Answer: Option B

**Explanation** :

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**18. SSC CGL 21st April Shift 3 - QA | Trigonometry - SSC**

If tan A = $\frac{2.4}{0.\mathrm{7\; what\; is\; the\; value\; of\; (50\; cos\; A\; +\; 24\; cot\; A)}}$

- A.
26

- B.
21

- C.
37

- D.
34

Answer: Option B

**Explanation** :

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**19. SSC CGL 21st April Shift 3 - QA | Trigonometry - SSC**

The length of the shadow of a vertical tower on level ground increases by 8.4 cm when the altitude of the sun changes from 45° to 30°. What is the height of the tower (in m)?

- A.
4.2 (√3 + 1)

- B.
8.4 (√3 + 3)

- C.
4.2 (√3 - 1)

- D.
4.2(√3 + 3)

Answer: Option A

**Explanation** :

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**20. SSC CGL 21st April Shift 3 - QA | Tables & Graphs - SSC**

**The following bar graph shows exports of cars of type A and B (in ₹ millions) from 2014 to 2018. Study the graph and answer the question that follows.**

Exports of Cars of Type A and B (in ₹ millions) during 2014 to 2018.

The total exports of cars of type A in 2014 to 2018 is what per cent more than the total exports of cars of type B in 2015 to 2017? (Correct to one decimal place)

- A.
44.3%

- B.
51.7%

- C.
50.4%

- D.
41.3%

Answer: Option B

**Explanation** :

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**21. SSC CGL 21st April Shift 3 - QA | Vocabulary - SSC**

If a 10-digit number 54726x79y6 is divisible by 72, then what is the value of 5x - 3y, for the least value of y?

- A.
17

- B.
23

- C.
16

- D.
19

Answer: Option C

**Explanation** :

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**22. SSC CGL 21st April Shift 3 - QA | Number Theory - SSC**

If ${\left(\mathrm{a}+\frac{1}{\mathrm{a}}+3\right)}^{2}$ = 16, where a is a non-zero real number, then find the value of a^{2} + $\frac{1}{\mathrm{a}}$

- A.
7

- B.
47

- C.
3

- D.
49

Answer: Option B

**Explanation** :

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**23. SSC CGL 21st April Shift 3 - QA | Simplification - SSC**

Find the value of the following expression:

-5 + 5 + 625 ÷ 5 × 5

- A.
25

- B.
625

- C.
121

- D.
605

Answer: Option B

**Explanation** :

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**24. SSC CGL 21st 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, respectively, in academic years 2019 and 2020.

What is the ratio of Commerce and Computer Science students taken together in 2019 to Engineering and Medical students taken together in 2020?

- A.
65 : 44

- B.
22 : 39

- C.
44 : 65

- D.
39 : 22

Answer: Option A

**Explanation** :

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**25. SSC CGL 21st April Shift 3 - QA | Ratio, Proportion & Variation - SSC**

Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹38,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8.000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.

- A.
10,950

- B.
10,200

- C.
10,880

- D.
9,800

Answer: Option C

**Explanation** :

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