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Home Aptitude Simplification Comments

  • Question
  • For what value of k, the expression x6? 18x3 + k will be a perfect square?


  • Options
  • A. -9
  • B. 81
  • C. 9
  • D. -81

  • Correct Answer
  • 81 

  • Tags: Bank Exams

    Simplification problems


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    • 1. In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer. I. x2?5x ?24 = 0II. 2y2+ 19y + 35 = 0

    • Options
    • A. x > y
    • B. x>y
    • C. x < y
    • D. x Discuss
    • 2. What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? [(7.99)2?(13.001)2+(4.01)3]2=?

    • Options
    • A. -1800
    • B. 1450
    • C. -1660
    • D. 1660
    • Discuss
    • 3. What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.) 21.003 × 39.998 ?209.91 = 126× ?

    • Options
    • A. 5
    • B. 4
    • C. 3
    • D. 2
    • Discuss
    • 4. What is the simplified value of 1-sin A1+sin A ?

    • Options
    • A. tan A
    • B. sec A
    • C. sec A + tan A
    • D. sec A ? tan A
    • Discuss
    • 5. What is the simplified value of (1? sin A cos A)(sin A + cos A)?

    • Options
    • A. sin2A ? cos2A
    • B. sin3A + cos3A
    • C. 0
    • D. 1
    • Discuss
    • 6. If 5+x+5-x5+x-5-x = 3 ,then what is the value of x ?

    • Options
    • A. 5/2
    • B. 25/3
    • C. 4
    • D. 3
    • Discuss
    • 7. If x = 4aba+b , then what is the value of x+2ax-2a+x+2bx-2b ?

    • Options
    • A. 0
    • B. 2
    • C. 4
    • D. 1
    • Discuss
    • 8. In a triangle PQR, ?Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

    • Options
    • A. 5
    • B. 6
    • C. 6.5
    • D. 6?2
    • Discuss
    • 9. P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

    • Options
    • A. 1.5
    • B. 2
    • C. 2.5
    • D. 3
    • Discuss
    • 10. If tan ? + cot ? = x, then what is the value of tan4? + cot4? ?

    • Options
    • A. (x3 ? 3)2 + 2
    • B. (x4 ? 2x) + 4
    • C. x2 (x2 ? 4) + 2
    • D. x
    • Discuss


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