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  • Question

  • Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ?PQR = 40°, then what is the value (in degrees) of ?QPR?


  • Options
  • A. 40
  • B. 45
  • C. 50
  • D. 55

  • Correct Answer
  • 50 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

    • Options
    • A. 18
    • B. 9
    • C. 20
    • D. 12
      • Discuss
    • 2. PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

    • Options
    • A. 5/?3
    • B. 10?3
    • C. 10/?3
    • D. 5?2
      • Discuss
    • 3. If 2x + 3y ? 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

    • Options
    • A. 32
    • B. 52
    • C. 64
    • D. 46
      • Discuss
    • 4. If x3 ? 4x2 + 19 = 6(x ? 1) , then what is the value of [x2 + (1/x ? 4)] ?

    • Options
    • A. 3
    • B. 5
    • C. 6
    • D. 8
      • Discuss
    • 5. If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35 , then what is the value of abc?

    • Options
    • A. 48
    • B. 24
    • C. 36
    • D. 42
      • Discuss
    • 6. What is the value of {(sin 4x + sin 4y) [(tan 2x ? 2y)]}/(sin 4x ? sin 4y)?

    • Options
    • A. tan 2 (2x + 2y)
    • B. tan2
    • C. cot (x ? y)
    • D. tan (2x + 2y)
      • Discuss
    • 7. What is the value of (32 cos6x ? 48 cos4x + 18 cos2x ? 1)/[4 sin x cos x sin (60 ? x) cos (60 ? x) sin (60 + x) cos (60 + x)] ?

    • Options
    • A. 4 tan 6x
    • B. 4 cot 6x
    • C. 8 cot 6x
    • D. 8 tan 6x
      • Discuss
    • 8. What is the value of [2 cot × (p ? A)/2]/[1 + tan2× (2p ? A)/2] ?

    • Options
    • A. 2 sin2 A/2
    • B. cos A
    • C. sin A
    • D. 2 cos2 A/2
      • Discuss
    • 9. If tan ? + sec ? = (x ? 2)/(x + 2), then what is the value of cos ??

    • Options
    • A. (x2 ? 1)/(x2 + 1)
    • B. (2x2 ? 4)/(2x2 + 4)
    • C. (x2 ? 4)/(x2 + 4)
    • D. (x2 ? 2)/(x2 + 2)
      • Discuss
    • 10. What is the value of (cos 40° ? cos 140°)/(sin 80° + sin 20°)?

    • Options
    • A. 2?3
    • B. 2/?3
    • C. 1/?3
    • D. ?3
      • Discuss

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