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Home Aptitude Simplification Comments

  • Question
  • If the roots of the equation a(b ? c)x2 + b(c ? a)x + c(a ? b) = 0 are equal, then which of the following is true?


  • Options
  • A. b = ( a + c)/ ac
  • B. 2/ b = (1/ a) + (1/ c)
  • C. 2 b = (1/ a) + (1/ c)
  • D. abc = ab + bc + ca

  • Correct Answer
  • 2/ b = (1/ a) + (1/ c) 

  • Tags: Bank Exams

    Simplification problems


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    • 1. x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?

    • Options
    • A. 19
    • B. 23
    • C. 31
    • D. 29
    • Discuss
    • 2. What is the difference between the total sale of English newspapers and the total sale of Hindi newspapers in all the localities together.

    • Options
    • A. 7500
    • B. 5600
    • C. 6500
    • D. 5700
    • Discuss
    • 3. PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ?RST = 65°, the ?PTS =

    • Options
    • A. 65°
    • B. 130°
    • C. 115°
    • D. 55°
    • Discuss
    • 4. If x = 1 + ?2 + ?3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

    • Options
    • A. 2?2
    • B. 3?3
    • C. 5?5
    • D. 6?6
    • Discuss
    • 5. If x2 + y2 + 6x + 5 = 4(x - y) then x - y is

    • Options
    • A. 1
    • B. -1
    • C. 0
    • D. 4
    • Discuss
    • 6. The point Q(a,b) is first reflected in yaxis to Q1 and Q1 is reflected in xaxis to (6,2). The coordinates of point Q are

    • Options
    • A. (-6,2)
    • B. (2,-6)
    • C. (6,-2)
    • D. (-2,6)
    • Discuss
    • 7. If cosec 4?/3 = x, then the value of x is

    • Options
    • A. ?2
    • B. 2/?3
    • C. ?2
    • D. -1/?3
    • Discuss
    • 8. If price of oranges is increased by 30%, then a person can buy 12 oranges less for Rs 208. What is the original price (in Rs) of an orange?

    • Options
    • A. 2
    • B. 4
    • C. 8
    • D. 3
    • Discuss
    • 9. What are the roots of the quadratic equation: x2 + 3x - 154 = 0

    • Options
    • A. 11, 14
    • B. 11, -14
    • C. 14, -11
    • D. 14, -22
    • Discuss
    • 10. For triangle ABC, find equation of median AD if coordinates of points A, B and C are (2,4), (3,0) and (5,2) respectively?

    • Options
    • A. 3x - 2y = 14
    • B. 3x - 2y = 2
    • C. 3x + 2y = 14
    • D. 3x + 2y = 2
    • Discuss


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