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Home Aptitude Quadratic Equation See What Others Are Saying!
  • Question
  • In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtain -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was


  • Options
  • A. x2 + 10x + 9 = 0
  • B. x2 - 10x + 16 = 0
  • C. x2 - 10x + 9 = 0
  • D. None of the above

  • Correct Answer
  • x2 - 10x + 9 = 0 

    Explanation

    When mistake is done in first degree term, the roots of the equation are -9 and -1.
    ? Equation
    (x+ 1) (x + 9) = x2 + 10x + 9 ...(i)
    When mistake is done in constant term, the roots of equation are 8 and 2.
    ? Equation is
    (x - 2) (x - 8) = x2 - 10x + 16 .....(ii)
    ? Required equation from Eqs. (i) and (ii) is
    = x2 - 10x + 9
    Also we see in both the cases 1st degree term is same with oposite sign i.e., in such questions we should take data from given conditions and find the correct equation.


  • More questions

    • 1. 
      In a 200 m race, A can beat B by 50 m and B can beat C by 8 m. In the same race , A can beat C by what distance?

    • Options
    • A. 60 m
    • B. 72 m
    • C. 56 m
    • D. 66 m
    • Discuss
    • 2. 
      26.823 x 27.923 x 4.5001 =?

    • Options
    • A. 3500
    • B. 3450
    • C. 3100
    • D. 3400
    • Discuss
    • 3. 
      There are two inlets A and B connected to a tank. A and B can fill the tank in 16 h and 10 h, respectively. If both the pipes are opened alternately for 1 h, starting from A, then how much time will the tank take to filled?

    • Options
    • A. 131/4 h
    • B. 116/8 h
    • C. 122/5 h
    • D. 121/4 h
    • Discuss
    • 4. 
      If a + b + 1 = 0, then the value of (a 3 + b 3 + 1 ? 3ab) is

    • Options
    • A. 3
    • B. 0
    • C. ?1
    • D. 1
    • Discuss
    • 5. 
      (2.247)3 + (1.730)3 + (1.023)3 - 3 x 2.247 x 1.730 x 1.023 / ( (2.247)2 + (1.730)2 + (1.023)2 - (2.247 x 1.730) - (1.730 x 1.023) - (2.247 x 1.023) )

    • Options
    • A. 1.730
    • B. 4
    • C. 5
    • D. 5.247
    • Discuss
    • 6. 
      A cistern can be filled by two pipes in 30 and 40 minutes respectively. Both the pipes were opened at once, but after some time the first was shut up and the cistern was filled in 10 minutes more. How long after the pipes had opened was the first pipe shut up?

    • Options
    • A. 90/ 11 minutes
    • B. 90/7 minutes
    • C. 90/13 minutes
    • D. 45/2 minute
    • Discuss
    • 7. 
      In a camp, food was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?

    • Options
    • A. 1900
    • B. 2400
    • C. 1940
    • D. 2220
    • Discuss
    • 8. 
      The area of the triangle formed by the lines 5x + 7y = 35, 4x + 3y = 12 and x-axis is

    • Options
    • A. 160 sq.unit 13
    • B. 150 sq.unit 13
    • C. 140 sq.unit 13
    • D. 10 sq.unit
    • Discuss
    • 9. 
      In a 20 m race, A runs at a speed of 2 m/s. If A gives B a start of 10 m and still beats him by 5 s, what will be the speed of B?

    • Options
    • A. 117/21 m/s
    • B. 317/21 m/s
    • C. 21 m/s
    • D. 2 m/s
    • Discuss
    • 10. 
      The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?

    • Options
    • A. (4 x 102) sq m
    • B. (4 x 10) sq m
    • C. (4 x 104) sq m
    • D. (4 x 103) sq m
    • Discuss


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