Trigonometry · SSC CGL previous year questions

2022 82 questions

1. Q522022 · 2 Dec 2022 · Shift 1

   If cot x – tan x = 3/2, then what will be the value of cot x + tan x?

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

   Answer: C

2. Q652022 · 2 Dec 2022 · Shift 1

   If sin (A + B) = cos (A + B), what is the value of tan A?

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

   Answer: A

3. Q712022 · 2 Dec 2022 · Shift 1

   A hemispherical bowl made of iron has inner diameter 84 cm. Find the cost of tin plating it on the inside at the rate of Rs. 21 per 100 cm${}^2$ (take $\pi =\frac{22}{7}$) correct to two places of decimal.

   1. A.Rs. 2,328.48
   2. B.Rs. 2,425.48
   3. C.Rs. 2,425.60
   4. D.Rs. 2,355.48
   Show answer

   Answer: A

4. Q532022 · 2 Dec 2022 · Shift 2

   Study the following chart and answer the question that follows. The chart shows the quantity of substances (P1, P2, P3) in different drugs (A, B, C, D). Which substance is/are most used in terms of quantity in all drugs?

   
   1. A.P1 and P3
   2. B.P3
   3. C.P2
   4. D.P1
   Show answer

   Answer: D

5. Q632022 · 2 Dec 2022 · Shift 2

   In a class of students, the first student has 2 toffees, second has 4 toffees, third has 6 toffees and so on. If the number of students in the class is 25, then the total number of toffees are divisible by ______ .

   1. A.5 and 7
   2. B.5 and 13
   3. C.11 and 13
   4. D.7 and 11
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   Answer: B

6. Q712022 · 2 Dec 2022 · Shift 2

   If $\sin \theta +\cos \theta =\sqrt{5}\sin (90-\theta )$, find the value of $\cot \theta$.

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

   Answer: B

7. Q752022 · 2 Dec 2022 · Shift 2

   If $\mathrm{cosec}A-\cot A=\frac{1}{4}$, then the value of $\tan A$ is :

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

   Answer: A

8. Q552022 · 2 Dec 2022 · Shift 3

   The value of cot 15° cot 25° cot 45° cot 75° cot 65° is:

   1. A.1
   2. B.√3
   3. C.2
   4. D.√2
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   Answer: A

9. Q612022 · 2 Dec 2022 · Shift 4

   If tan A + cot A = 2, then the value of 2(tan 2 A + cot 2 A) is :

   1. A.1
   2. B.4
   3. C.2
   4. D.3
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   Answer: B

10. Q712022 · 2 Dec 2022 · Shift 4

    If $\sin A=\frac{4}{5}$ and $\sin B=\frac{15}{17}$, what is the value of $\sin (A-B)$?

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

    Answer: B

11. Q692022 · 1 Dec 2022 · Shift 1

    How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimension 88 cm, 63 cm, 42 cm, (take $\pi =\frac{22}{7}$) ?

    1. A.920
    2. B.750
    3. C.650
    4. D.860
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    Answer: B

12. Q722022 · 1 Dec 2022 · Shift 1

    The value of tan2θ + cot2θ - sec2θ cosec2θ is:

    1. A.2
    2. B.-2
    3. C.0
    4. D.1/2
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    Answer: B

13. Q622022 · 1 Dec 2022 · Shift 2

    The value of (sin 30 ° cos 60 ° - cos 30 ° sin 60 °) is equal to:

    1. A.-cos 30 °
    2. B.-sin 30 °
    3. C.cos 30 °
    4. D.sin 30 °
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    Answer: B

14. Q722022 · 1 Dec 2022 · Shift 2

    What is $\sin \alpha -\sin \beta$?

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

    Answer: A

15. Q622022 · 1 Dec 2022 · Shift 3

    What is the value of tan 240°?

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

    Answer: C

16. Q672022 · 1 Dec 2022 · Shift 3

    If tan θ + sec θ = 7, θ being acute, then the value of 5 sin θ is:

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

    Answer: D