PYQ Vault
EbooksTutor

Two numbers make a G.P. with one given number and their reciprocals make an A.P. with another: find a combination of them

The same question, asked 2 times: 2021 Paper 6*, 25 Jan 2023. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 6

    86
    Let 116\frac{1}{16}, aa and bb be in G.P. and 1a,1 b,6\frac{1}{a},\frac{1}{\text{ }b},6 be in A.P., where a,b>0a,b> 0. Then 72(a+b)72(a+b) is equal to

  2. Question 2

    25 Jan 2023

    174
    For the two positive numbers a, b, if a, b and 118\frac{1}{18} are in a geometric progression, while 1a,10\frac{1}{a},10 and 1 b\frac{1}{\text{ }b} are in an arithmetic progression, then 16a+b16a + b is equal to