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Home Aptitude Simplification Comments

  • Question
  • What is the value of [1 ? tan (90 ? ?) + sec (90 ? ?)]/[tan (90 ? ?) + sec (90 ? ?) + 1]?


  • Options
  • A. cot (?/2)
  • B. tan (?/2)
  • C. sin ?
  • D. cos ?

  • Correct Answer
  • tan (?/2) 

  • Tags: Bank Exams

    Simplification problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. What is the value of [sin (90 ? A) + cos (180 ? 2A)]/[cos (90 ? 2A) + sin (180 ? A)]?

    • Options
    • A. sin (A/2) cos A
    • B. cot (A/2)
    • C. tan (A/2)
    • D. sin A cos (A/2)
    • Discuss
    • 7. If P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812 , then what is the value of P ? Q?

    • Options
    • A. 24645
    • B. 26075
    • C. 29317
    • D. 31515
    • Discuss
    • 8. If A = (1/0.4) + (1/0.04) + (1/0.004) + ... upto 8 terms, then what is the value of A?

    • Options
    • A. 27272727.5
    • B. 25252525.5
    • C. 27777777.5
    • D. 25555555.5
    • Discuss
    • 9. If M = 0.1 + (0.1)2 + (0.01)2 and N = 0.3 + (0.03)2 + (0.003)2 , then what is the value of M + N?

    • Options
    • A. 0.411009
    • B. 0.413131
    • C. 0.313131
    • D. 0.131313
    • Discuss
    • 10. Which of the following statements is/are true? I. 1112+1734-515-2110 = 43920II. 91078>111127>121219III. 149151>153155>157159

    • Options
    • A. Only I
    • B. Only II
    • C. Only III
    • D. None is true.
    • Discuss


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