Trigonometry · SSC CGL previous year questions

2022 82 questions

1. Q552022 · 7 Dec 2022 · Shift 4

   If tan A = 10/15, then what will be the value of cos2 A?

   1. A.59/269
   2. B.49/269
   3. C.69/269
   4. D.169/269
   Show answer

   Answer: C

2. Q602022 · 7 Dec 2022 · Shift 4

   If tan θ + cot θ = 12, then tan2 θ + cot2 θ is:

   1. A.66
   2. B.128
   3. C.142
   4. D.132
   Show answer

   Answer: C

3. Q602022 · 6 Dec 2022 · Shift 1

   If b sin θ = a, then sec θ + tan θ = ?

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: A

4. Q692022 · 6 Dec 2022 · Shift 1

   What will be the value of sin 10°- 4/3 sin 310°?

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: B

5. Q532022 · 6 Dec 2022 · Shift 2

   If cot A = 15 / 8, then what will be the value of tan 2 A?

   1. A.200/161
   2. B.240/161
   3. C.240/173
   4. D.220/171
   Show answer

   Answer: B

6. Q702022 · 6 Dec 2022 · Shift 2

   What is the value of $\cos \left(-\frac{17\pi }{3}\right)$

   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: C

7. Q602022 · 6 Dec 2022 · Shift 3

   Simplify the following. cot 13° cot 27° cot 45° cot 63° cot 77° = ?

   1. A.1
   2. B.√3
   3. C.2
   4. D.√2
   Show answer

   Answer: A

8. Q692022 · 6 Dec 2022 · Shift 3

   If sin θ = , then the value of (3cos θ - 4 cos3 θ) is:

   
   1. A.0
   2. B.1
   3. C.2
   4. D.-1
   Show answer

   Answer: A

9. Q562022 · 6 Dec 2022 · Shift 4

   Find the value of tan 3θ if sec 3θ = cosec (4θ - 15°).

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: D

10. Q702022 · 6 Dec 2022 · Shift 4

    What is the value of cos215°?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

11. Q692022 · 5 Dec 2022 · Shift 1

    If $\sin \theta +\cos \theta =\frac{\sqrt{3}-1}{2\sqrt{2}}$, then what is the value of $\tan \theta +\cot \theta$ ?

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: A

12. Q712022 · 5 Dec 2022 · Shift 1

    If $\sin \theta =\frac{8}{17}$, then find the value of $\tan \theta$.

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

13. Q732022 · 5 Dec 2022 · Shift 2

    What will be the value of cos x cosec x - sin x sec x?

    
    1. A.cot
    2. B.tan 2x
    3. C.cot 2x
    4. D.2cot 2x
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    Answer: D

14. Q532022 · 5 Dec 2022 · Shift 3

    If tan A = , then what is the value of the following? (5 sin2A - 2 cos2A) ÷ (15 sin2A + 3 cos2A)

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

15. Q732022 · 5 Dec 2022 · Shift 3

    cot 2A - cos 2A is equal to

    1. A.cos2A.sin2A
    2. B.cos2A.cot2A
    3. C.1
    4. D.0
    Show answer

    Answer: B

16. Q592022 · 5 Dec 2022 · Shift 4

    Five different companies, A, B, C, D and E. make robotic toys. The total number of robotic toys produced by these five companies is 8,00,000. The cost of production of each robotic toy is ₹5,000. The distribution of the total production is given by the following pie chart. What is the total cost of production of the given item by companies A and E together?

    
    1. A.₹190 crores
    2. B.₹85 crores
    3. C.₹96 crores
    4. D.₹140 crores
    Show answer

    Answer: D

17. Q622022 · 5 Dec 2022 · Shift 4

    If $8\cot \theta =6$, then the value of $\frac{\sin \theta +\cos \theta }{\sin \theta -\cos \theta }$ is:

    1. A.12
    2. B.7
    3. C.2
    4. D.5
    Show answer

    Answer: B

18. Q652022 · 5 Dec 2022 · Shift 4

    If $\tan A=\frac{5}{12}$, then the value of $\cos A=$ ______.

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: D

19. Q732022 · 3 Dec 2022 · Shift 1

    If (cos q + sin q) = 31/25, then what will be the value of cos 2 q?

    1. A.522/625
    2. B.512/625
    3. C.513/625
    4. D.527/625
    Show answer

    Answer: D

20. Q582022 · 3 Dec 2022 · Shift 2

    sin4θ + cos4θ in terms of sinθ can be written as:

    1. A.2sin4θ + 2sin2θ - 1
    2. B.2sin4θ - 2sin2θ
    3. C.2sin4θ - 2sin2θ - 1
    4. D.2sin4θ - 2sin2θ + 1
    Show answer

    Answer: D

21. Q632022 · 3 Dec 2022 · Shift 2

    tan (θ - 14π) is equal to:

    1. A.tanθ
    2. B.-cotθ
    3. C.cotθ
    4. D.-tanθ
    Show answer

    Answer: A

22. Q542022 · 3 Dec 2022 · Shift 3

    If = sin2 60° + 4 tan245° - cosec260°, then the value of k (correct to two decimal places) is :

    
    1. A.5.55
    2. B.-6.83
    3. C.-5.58
    4. D.6.83
    Show answer

    Answer: B

23. Q672022 · 3 Dec 2022 · Shift 3

    The given table shows the number of new employees joined in different categories of employees in an organisation and also the number of employees from these categories who left the organisation every year since the foundation of the organisation in 2015. Study the table and answer the question that follows. Year Business Analysts Accountants Sales Representatives Peons Joined Left Joined Left Joined Left Joined Left 2015 80 0 35 0 50 0 73 0 2016 63 21 26 16 46 20 34 23 2017 78 28 15 5 38 15 48 29 2018 42 39 20 38 34 0 14 12 2019 67 44 14 24 22 30 21 30 During the years given, what is the difference between the total number of Business Analysts who joined the organisation and the total number of Sales Representatives who joined the organisation?

    
    1. A.141
    2. B.140
    3. C.142
    4. D.143
    Show answer

    Answer: B

24. Q682022 · 3 Dec 2022 · Shift 3

    If cot B = 9, then what will be the value of sec2 B?

    1. A.98/81
    2. B.92/81
    3. C.42/81
    4. D.82/81
    Show answer

    Answer: D

25. Q522022 · 3 Dec 2022 · Shift 4

    In a ΔABC, the median BE intersects AC at E. If BG = 12 cm, where G is the centroid, then BE is equal to:

    1. A.16 cm
    2. B.18 cm
    3. C.15 cm
    4. D.13 cm
    Show answer

    Answer: B