Trigonometry · SSC CGL previous year questions

2025 24 questions

1. Q672025 · 25 Sept 2025 · Shift 3

   If cosecA - sinA = 2, then find the value of sinA.

   
   1. A.-1 +
   2. B.3 +
   3. C.+ 2
   4. D.No real value
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   Answer: A

2. Q682025 · 25 Sept 2025 · Shift 3

   If sinθ = , and θ lies in the 2nd quadrant, find cosθ.

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

   Answer: A

3. Q702025 · 25 Sept 2025 · Shift 3

   If $\sin A=\frac{3}{5}$ and A is acute, then find the value of $\tan A\times \cot (90^{\circ }-A)$.

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

   Answer: B

4. Q572025 · 23 Sept 2025 · Shift 3

   A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4 m. If printing costs ₹250/m^2, what is the total cost?

   1. A.₹4,000
   2. B.₹5,000
   3. C.₹6,000
   4. D.₹8,000
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   Answer: A

5. Q582025 · 23 Sept 2025 · Shift 3

   A farmer's land is two adjoining trapezoids: T1 with bases 70 m & 50 m, height 20 m; T2 with bases 50 m & 30 m, height 15 m. Land costs ₹60/m^2. What is the total land cost?

   1. A.₹1,58,000
   2. B.₹1,08,000
   3. C.₹98,000
   4. D.₹1,26,000
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   Answer: B

6. Q672025 · 23 Sept 2025 · Shift 3

   If sin A = x, then what is the value of tan A in terms of x?

   1. A.x/√(1-x²)
   2. B.√(1-x²)/x
   3. C.1/x
   4. D.x²
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   Answer: A

7. Q682025 · 23 Sept 2025 · Shift 3

   If sin A = 3/5 and A lies in the 2nd quadrant, what is the value of tan A?

   1. A.-3/4
   2. B.-2/5
   3. C.2/5
   4. D.7/5
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   Answer: A

8. Q702025 · 23 Sept 2025 · Shift 3

   If sin x = cos(2x - 10°), find the value of x.

   1. A.25.52°
   2. B.33.33°
   3. C.40°
   4. D.50°
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   Answer: B

9. Q652025 · 22 Sept 2025 · Shift 2

   A storage box is in the shape of a right rectangular prism with internal dimensions 50 cm × 40 cm × 30 cm. How many liters can it hold?

   1. A.50
   2. B.60
   3. C.40
   4. D.70
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   Answer: B

10. Q692025 · 21 Sept 2025 · Shift 1

    If sin A = 0.6 and cos A = 0.8, what is tan A?

    1. A.0.56
    2. B.0.75
    3. C.0.45
    4. D.0.52
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    Answer: B

11. Q712025 · 21 Sept 2025 · Shift 1

    If $\sin A=\frac{4}{5}$ and A is acute, find $\cot (90^{\circ }-A)$.

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

    Answer: B

12. Q682025 · 21 Sept 2025 · Shift 2

    Find slope of the line passing through points (-2,5) and (4,-7).

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

13. Q582025 · 20 Sept 2025 · Shift 1

    A car runs 18.4 km using 2.5 liters of petrol. What is the mileage in km per liter (rounded to 2 decimals)?

    1. A.7.28
    2. B.7.36
    3. C.7.44
    4. D.7.52
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    Answer: B

14. Q572025 · 20 Sept 2025 · Shift 3

    A car travels 13.5 km using 1.8 liters of fuel. How many kilometers does it travel per liter?

    1. A.7.25 km
    2. B.7.5 km
    3. C.7.75 km
    4. D.8.0 km
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    Answer: B

15. Q672025 · 20 Sept 2025 · Shift 3

    If sinA = 3/5 and A is acute, then what is the value of cosA?

    1. A.4/5
    2. B.5/4
    3. C.√2/2
    4. D.1/2
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    Answer: A

16. Q682025 · 20 Sept 2025 · Shift 3

    If line passing through (3,-1) with slope 4; find y-intercept.

    1. A.-13
    2. B.12
    3. C.14
    4. D.-14
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    Answer: A

17. Q742025 · 20 Sept 2025 · Shift 3

    If sin A = 5/13, find the value of sin⁴A + cos⁴A.

    1. A.625/1681
    2. B.144/169
    3. C.21361/28561
    4. D.25634/28956
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    Answer: C

18. Q592025 · 19 Sept 2025 · Shift 1

    A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is 45°?

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

    Answer: B

19. Q722025 · 18 Sept 2025 · Shift 2

    If cot A = 2, then sin A − cos A = ?

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

    Answer: B

20. Q692025 · 17 Sept 2025 · Shift 1

    A line L is the perpendicular bisector of the line segment connecting points A(2, 5) and B(8, −1). What is the y-intercept of line L?

    1. A.-3
    2. B.2
    3. C.3
    4. D.5
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    Answer: A

21. Q642025 · 17 Sept 2025 · Shift 3

    If $\sin A=\frac{3}{5}$ and A lies in the second quadrant, find the value of $(\sin A+\cos A{)}^2$.

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

    Answer: C

22. Q662025 · 17 Sept 2025 · Shift 3

    What is the slope of the line passing through points (2, 3) and (4, 7)?

    1. A.2
    2. B.3
    3. C.5
    4. D.4
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    Answer: A

23. Q692025 · 17 Sept 2025 · Shift 3

    What is the equation of the perpendicular bisector of the line segment connecting the points (2, 8) and (6, 4)?

    1. A.y = −x − 10
    2. B.y = x − 2
    3. C.y = −x + 10
    4. D.y = x + 2
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    Answer: D

24. Q522025 · 13 Sept 2025 · Shift 3

    A machine fills 0.375 litres of water every second. How much does it fill in 8 seconds?

    1. A.3.0 L
    2. B.2.75 L
    3. C.3.25 L
    4. D.3.5 L
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    Answer: A