## Question

#### SIMILAR QUESTIONS

Q1

medium
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Q2

Given a sequence of four numbers such that the first three are in G.P. and the last three are in A.P. with common difference 6. If the first and the fourth numbers are equals, then common ratio of the G.P. is

easy
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Q3

easy
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Q4

easy
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Q5

If a, b, c are three distinct numbers such that a, b, c are in A.P. and a, c – b, b – a are in G.P. then the ratio a : b : c equals

easy
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Q6

easy
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Q7

Let n ∈ **N, **n > 25. Let *A, G, H *denote the arithmetic mean, geometric mean and harmonic mean of 25 and n. The least value of n for which *A, G, H *∈ {25, 26, …, n}, is

easy
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Q8

easy
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Q9

easy
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Q10

Let a, b, c be distinct real numbers which are in G.P. If ∈ **R **is such that a + *x, *b* + x, *c + *x, *are in H.P., then *x *equals * *

easy
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