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  • Question
  • If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?


  • Options
  • A. 2m ?m^2/n
  • B. 2m ?m/n
  • C. 2m
  • D. 2m ?m

  • Correct Answer
  • 2m ?m^2/n 

    Explanation

    Mean of m observations is n

    Mean of n-m observations is m

    So total = nm+ (n-m)m

    Total observations = n

    Mean = Total / Total observations = (2mn-m^2)/n = 2m ?m^2/n

     

  • Tags: Bank Exams

    Simplification problems


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    • 1. Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10?3 cm, then what is the diameter of the circle?

    • Options
    • A. 10 cm
    • B. 15 cm
    • C. 20 cm
    • D. 30 cm
    • Discuss
    • 2. A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

    • Options
    • A. 12/?+4
    • B. 6/?+4
    • C. 3/?+4
    • D. 6/?+2?2
    • Discuss
    • 3. What is the value of 2+2+2+2.......

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

    • Options
    • A. a/b = c/d
    • B. a/d = c/b
    • C. a/b = d/c
    • D. none
    • Discuss
    • 5. If 3x= 4y= 12 , then z is equal to

    • Options
    • A. xy
    • B. x + y
    • C. xy/x+Y
    • D. 4x +3y
    • Discuss
    • 6. If x + y = 5, x3 + y3 = 35 , then what is the positive difference between x and y?

    • Options
    • A. 0
    • B. 1
    • C. 5
    • D. 6
    • Discuss
    • 7. If x = 2+32-3 , then what is the value of x2+x-9 ?

    • Options
    • A. 0
    • B. 3?2
    • C. 3?3
    • D. 5?3
    • Discuss
    • 8. If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?

    • Options
    • A. 0
    • B. xz
    • C. y
    • D. 3y
    • Discuss
    • 9. If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?

    • Options
    • A. ±?5
    • B. 2/5
    • C. ±2/?5
    • D. ±?5/2
    • Discuss
    • 10. If cosec2 ? = 625/576 , then what is the value of [(sin ? ? cos ?)/(sin ? + cos ?)]?

    • Options
    • A. 1
    • B. 31/17
    • C. 17/31
    • D. 14/25
    • Discuss


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