# SSC CGL 21st April Shift 1 - QA

**1. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper bought toffees at a rate of 10 for ₹15 and sold them at a rate of 16 for ₹40. Find his profit percentage. (correct to two decimal places?

- A.
65.05%

- B.
33.33%

- C.
50.55%

- D.
66.67%

Answer: Option D

**Explanation** :

Workspace:

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

From the masthead of a ship of 180 m height to boat, a depression angle of 60 degrees formed. Find out the distance of ship to boat( in m).

- A.
360

- B.
60√3

- C.
180√3

- D.
180

Answer: Option B

**Explanation** :

Workspace:

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

Find the value of the following expression:

$\frac{4{\displaystyle \frac{1}{3}}+3{\displaystyle \frac{1}{3}}\times 1{\displaystyle \frac{4}{5}}\xf73{\displaystyle \frac{3}{4}}\times \left(6{\displaystyle \frac{1}{4}}\right)\mathrm{of}1{\displaystyle \frac{1}{15}}}{{\displaystyle \frac{2}{3}}\xf7{\displaystyle \frac{5}{6}}\times {\displaystyle \frac{2}{3}}}$

- A.
$28\frac{1}{8}$

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

- C.
$289\frac{3}{8}$

- D.
$12\frac{1}{2}$

Answer: Option A

**Explanation** :

Workspace:

**4. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC**

Find the smallest number which should be added to the smallest number divisible by 6, 9 and 15 to make it a perfect square.

- A.
10

- B.
9

- C.
19

- D.
21

Answer: Option A

**Explanation** :

Workspace:

**5. SSC CGL 21st April Shift 1 - QA | Circles - SSC**

The radii of two concentric circles with centre O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle ar C and AD is a diameter. What is the length of D?

- A.
42 cm

- B.
36 cm

- C.
35 cm

- D.
38 cm

Answer: Option D

**Explanation** :

Workspace:

**6. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC**

Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6

- A.
9

- B.
8

- C.
5

- D.
4

Answer: Option B

**Explanation** :

Workspace:

**7. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in Rs, to the nearest rupee) of a food processor costing Rs 4580?

- A.
2519

- B.
2977

- C.
2382

- D.
3664

Answer: Option C

**Explanation** :

Workspace:

**8. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC**

If 5x - $\frac{1}{4x}$ = 6, x > 0, then find the value of 25x^{2} - $\frac{1}{16{x}^{2}}$

- A.
$6\sqrt{41}$

- B.
36

- C.
$\sqrt{246}$

- D.
$6\sqrt{31}$

Answer: Option A

**Explanation** :

Workspace:

**9. SSC CGL 21st April Shift 1 - QA | Triangles - SSC**

In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm. AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).

- A.
17

- B.
11

- C.
15

- D.
9

Answer: Option C

**Explanation** :

Workspace:

**10. SSC CGL 21st April Shift 1 - QA | Time & Work - SSC**

A and B working alone can complete a work in 8 days and 12 days. respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?

- A.
6

- B.
5

- C.
8

- D.
10

Answer: Option A

**Explanation** :

Workspace:

**11. SSC CGL 21st April Shift 1 - QA | Ratio, Proportion & Variation - SSC**

Person A started a business by investing ₹65,000. After a few months. B joined him by investing ₹50.000. Three months after the joining of B, C joined the two with an investment of ₹55.000. At the end of the year. A got 50% of profit as his share. For how many months did A alone finance the business?

- A.
2

- B.
3

- C.
5

- D.
4

Answer: Option B

**Explanation** :

Workspace:

**12. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC**

The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts -Expenditure.

ln which year did the company gain the minimum amount?

- A.
2016

- B.
2017

- C.
2019

- D.
2018

Answer: Option C

**Explanation** :

Workspace:

**13. SSC CGL 21st April Shift 1 - QA | Number Theory - SSC**

Three positive numbers are in the ratio 2 : 3 : 4. The sum of their squares is 2349. The average of the first two numbers is:

- A.
36

- B.
27.5

- C.
18

- D.
22.5

Answer: Option D

**Explanation** :

Workspace:

**14. SSC CGL 21st April Shift 1 - QA | Mensuration - SSC**

The sides of a triangular field are 360 m. 480 m and 600 m. Its area is equal to the area of a square field . What is the side (in m) of the square field?

- A.
$120\sqrt{6}$

- B.
$160\sqrt{6}$

- C.
$160\sqrt{3}$

- D.
$120\sqrt{3}$

Answer: Option A

**Explanation** :

Workspace:

**15. SSC CGL 21st April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?

- A.
Decrease 18%

- B.
Increase 15%

- C.
Increase 20%

- D.
Decrease 25%

Answer: Option D

**Explanation** :

Workspace:

**16. SSC CGL 21st April Shift 1 - QA | Triangles - SSC**

In a ∆ABC, D, E and F are the mid-points of side BC, CA and AB respectively. If BC = 25.6 cm. CA = 18.8 cm and AB = 20.4 cm, what is the perimeter (in cm) of the ∆DEF?

- A.
36.8

- B.
30.6

- C.
32.4

- D.
34.4

Answer: Option C

**Explanation** :

Workspace:

**17. SSC CGL 21st April Shift 1 - QA | Simplification - SSC**

Find the value of the following expression:

$\frac{{(7.03)}^{3}-0.0027}{{(7.03)}^{2}+2.109+{(0.3)}^{2}}$

- A.
7.06

- B.
7

- C.
7.33

- D.
6.73

Answer: Option D

**Explanation** :

Workspace:

**18. SSC CGL 21st April Shift 1 - QA | Simple & Compound Interest - SSC**

Anil lent a sum of ₹5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10 per annum beyond 4 years. How much interest (in ₹) will he earn at the end of 10 years?

- A.
5,000

- B.
4,400

- C.
4,200

- D.
3,500

Answer: Option B

**Explanation** :

Workspace:

**19. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC**

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart.

Total number of employees = 2400.

If 40%, of the number of employees in office A are shifted equally to office B and E, then what will be the sum of the number of employees in B and C?

- A.
648

- B.
735

- C.
545

- D.
72

Answer: Option A

**Explanation** :

Workspace:

**20. SSC CGL 21st April Shift 1 - QA | Circles - SSC**

O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?

- A.
$2\sqrt{194}$

- B.
20

- C.
25

- D.
24

Answer: Option D

**Explanation** :

Workspace:

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

If A = 30°, what is the value of

$\frac{8\mathrm{sin}A+11\mathrm{cos}ecA-co{t}^{2}A}{10\mathrm{cos}2A}$

- A.
$5\frac{1}{5}$

- B.
$4\frac{3}{5}$

- C.
$4\frac{2}{5}$

- D.
$3\frac{4}{5}$

Answer: Option B

**Explanation** :

Workspace:

**22. SSC CGL 21st April Shift 1 - QA | Time, Speed & Distance - SSC**

The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?

- A.
5

- B.
8

- C.
10

- D.
6

Answer: Option B

**Explanation** :

Workspace:

**23. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC**

The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.

What is the percentage of students who passed the test?

- A.
75%

- B.
30%

- C.
72%

- D.
66.66%

Answer: Option A

**Explanation** :

Workspace:

**24. SSC CGL 21st April Shift 1 - QA | Tables & Graphs - SSC**

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

The number of students getting grade B is what percentage of the number of students getting grade A?

- A.
97%

- B.
90%

- C.
95%

- D.
85%

Answer: Option B

**Explanation** :

Workspace:

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

If (2 cos A + 1) (2 cos A - 1) = 0, 0° < A ≤ 90°

- A.
90°

- B.
45°

- C.
30°

- D.
60°

Answer: Option D

**Explanation** :

Workspace: