## Geometric Mean - Basic

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values.

Q1.  If G be the geometric mean of x and y, then 1/(G2-x2) + 1/(G2-y2) =

•   G2
•  1/G2
•  2/G2
•   3G2

1/G2

Q2.  If n geometric means be inserted between a and b, then the nth geometric mean will be

•  b(b/a)n/n+1
•  a(b/a)n
•  a(b/a)n/n+1
•  b(b/a)n/n-1

a(b/a)n/n+1

Q3.  If (an+bn)/(an-1+bn-1) be the geometric mean of a and b, then n=

•   0
•  1
•  1/2
•   None of these

1/2

Q4. The G.M. of roots of the equation x2-18x+9=0 is

•   3
•   4
•  2
•  1

3

Q5.  If five G.M.'s are inserted between 486 and 2/3 then fourth G.M. will be

•  4
•  6
•  12
•  -6

-6

Q6.  If 4 G.M’s be inserted between 160 and 5 them third G.M. will be

•  8
•  118
•  20
•  40

20

Q7.  The product of three geometric means between 4 and 1/4 will be

•   4
•  2
•  -1
•  1

1

Q8.  The geometric mean between –9 and –16 is

•  12
•   -12
•   -13
•   None of these

-12

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