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Home Aptitude Simplification Comments

  • Question
  • The value of the expression 2(sin6?+cos6?) - 3(sin4?+cos4?) + 1 is


  • Options
  • A. -1
  • B. 0
  • C. 1
  • D. 2

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. If cosx.cosy + sinx.siny = -1 then cosx + cosy is

    • Options
    • A. -2
    • B. 1
    • C. 0
    • D. 2
    • Discuss
    • 2. If sin P + cosec P = 2, then the value of sin7P + cosec7P is

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 0
    • Discuss
    • 3. If secA + tanA = a, then the value of cosA is

    • Options
    • A. a2+12a
    • B. 2aa2+1
    • C. a2-12a
    • D. 2aa2-1
    • Discuss
    • 4. If x, y, z are the three factors of a3 -7a - 6 , then value of x+y+z will be

    • Options
    • A. 3a
    • B. 3
    • C. 6
    • D. a
    • Discuss
    • 5. If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to

    • Options
    • A. 1
    • B. 2
    • C. 0.5
    • D. 0
    • Discuss
    • 6. If cos? = x2-y2x2+y2 , then the value of cot? is

    • Options
    • A. 2xyx2-y2
    • B. 2xyx2+y2
    • C. x2+y22xy
    • D. x2-y22xy
    • Discuss
    • 7. If x = cosec? - sin? and y = sec? - cos?, then the relation between x and y is

    • Options
    • A. x2+ y2+ 3 =1
    • B. x2y2 (x2+ y2+3)=1
    • C. x2 (x2+ y2 - 5)=1
    • D. y2 (x2+ y2 - 5)=1
    • Discuss
    • 8. A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

    • Options
    • A. 7 km/hr
    • B. 11 km/ hr
    • C. 26 km/hr.
    • D. 33 km/hr
    • Discuss
    • 9. Which of the following statement(s) is/are TRUE? I. ?(64) + ?(0.0064) + ?(0.81) + ?(0.0081) = 9.07 II. ?(0.010201) + ?(98.01) + ?(0.25) = 11.51

    • Options
    • A. Only I
    • B. Only II
    • C. Both I and II
    • D. Neither I nor II
    • Discuss
    • 10. Which of the following statement(s) is/are TRUE? I . 11×3+13×5+15×7+...+111×13 = 1213 II. 11×2+12×3+13×4+...+112×13 = 1213

    • Options
    • A. Only I
    • B. Only II
    • C. Both I and II
    • D. Neither I nor II
    • Discuss


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