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  • Question
  • Suppose 0 < ? < 90, then for every ? 4 sin2 ? + 1 is greater than or equal to ?


  • Options
  • A. 2
  • B. 4 sin ?
  • C. 4 cos ?
  • D. 4 tan ?

  • Correct Answer
  • 4 sin ?  

    Explanation
    We know that,
    Arithmetic mean ? Geometric mean
  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of sin 46 cos 44+ cos 46 sin 44?

    • Options
    • A. 2
    • B. sin 2
    • C. 1
    • D. 0
    • Discuss
    • 2. If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

    • Options
    • A. 1/2
    • B. 1
    • C. ?3/2
    • D. ?3
    • Discuss
    • 3. For the inequation x^2?7x + 12 > 0, which one of the following is correct ?

    • Options
    • A. 3 < x < 4
    • B. ?? < x < 3 only
    • C. 4 < x < ? only
    • D. ?? < x < 3 or 4 < x < ?
    • Discuss
    • 4. If cot A = [sin B/(1 ? cos B)], then what is the value of cot 2A?

    • Options
    • A. cot(B/2)
    • B. cot 2B
    • C. cot B
    • D. tan B
    • Discuss
    • 5. If x3 ? y3 = 81 and x ? y = 3, then what is the value of x2 + y2 ?

    • Options
    • A. 18
    • B. 21
    • C. 27
    • D. 36
    • Discuss
    • 6. Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?

    • Options
    • A. 1:?3
    • B. 1:3
    • C. 1:2
    • D. 1:2?3
    • Discuss
    • 7. What is the value of tan 1° tan 2° tan 3°....... tan 89° ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. infinity
    • Discuss
    • 8. Which of the following pair of numbers is the solution of the equation 3x+2+ 3?x= 10 ?

    • Options
    • A. 0, 2
    • B. 0, -2
    • C. 1, -1
    • D. 1, 2
    • Discuss
    • 9. If 3x - 4 > 2 - x/3 and 3x + 5 > 4x - 5; then find the value of x?

    • Options
    • A. 7
    • B. 10
    • C. -11
    • D. 1
    • Discuss
    • 10. 5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?

    • Options
    • A. 200
    • B. 215
    • C. 240
    • D. 250
    • Discuss


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