If six arithmetic means are inserted between 3 and \(\frac{13}{2}\), the ratio of the fifth and the first mean is:
Question and options
If six arithmetic means are inserted between 3 and , the ratio of the fifth and the first mean is:
- 3 : 2
- 11 : 7
- 9 : 8
- 8 : 5
Answer and explanation
Correct answer: B - 11 : 7
d = (13/2 - 3)/7 = 1/2, so means are 3.5, 4, 4.5, 5, 5.5, 6. Fifth : first = 5.5 : 3.5 = 11 : 7.
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