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  • Question
  • If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?


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

  • Correct Answer
  • 1, 0 

  • Tags: Bank Exams

    Simplification problems


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    • 1. How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

    • Options
    • A. 3675
    • B. 4018
    • C. 4021
    • D. 4025
    • Discuss
    • 2. What is the simplified value of cosec Acot A + tan A2 ?

    • Options
    • A. 2cos 2A
    • B. 1 ? sin2 A
    • C. sec2A
    • D. secA tanA
    • Discuss
    • 3. What is the simplified value of (sec A + cos A)(sec A ? cos A)?

    • Options
    • A. 2 tan2A
    • B. 2 sin2 A
    • C. sin2 A tan2 A
    • D. sin2A + tan2 A
    • Discuss
    • 4. If x = 1 ? y and x2 = 2 ? y2 , then what is the value of xy?

    • Options
    • A. 1
    • B. 2
    • C. -1/2
    • D. -1
    • Discuss
    • 5. If x4 + (1/x4) = 34 , then what is the value of x3 ? (1/x3) ?

    • Options
    • A. 0
    • B. 6
    • C. 8
    • D. 14
    • Discuss
    • 6. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?

    • Options
    • A. 1:9
    • B. 1:3
    • C. 3:1
    • D. 9:1
    • Discuss
    • 7. If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?

    • Options
    • A. x > y
    • B. Cannot be determined
    • C. x < y
    • D. x = y
    • Discuss
    • 8. If 3a ? (3/a) ? 3 = 0, then what is the value of a3 ? (1/a3) + 2 ?

    • Options
    • A. 0
    • B. 2
    • C. 4
    • D. 6
    • Discuss
    • 9. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

    • Options
    • A. 6
    • B. 9?3
    • C. 12
    • D. 12?3
    • Discuss
    • 10. If 2 cos ? = 2 ? sin ?, then what is the value of cos ??

    • Options
    • A. 1 or 3/5
    • B. 1 or ?1/2
    • C. ?1 or?1/2
    • D. ?1 or 3/5
    • Discuss


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