Recent questions tagged geometric-progression / Aptitude Overflow

2 votes

1 answer

1

CAT 2020 Set-2 | Question: 55
Let the $\text{m-th}$ and $\text{n-th}$ terms of a geometric progression be $\dfrac{3}{4}$ and $12,$ respectively, where $\text{m < n}.$ If the common ratio of the progression is an integer $\textsf{r},$ then the smallest possible value of $\textsf{r+n-m}$ is $ - 2$ $2$ $6$ $ – 4$

Let the $\text{m-th}$ and $\text{n-th}$ terms of a geometric progression be $\dfrac{3}{4}$ and $12,$ respectively, where $\text{m < n}.$ If the common ratio of the progr...

soujanyareddy13

2.7k points

677 views

soujanyareddy13 asked Sep 17, 2021

2 votes

1 answer

2

CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ratio of the geometric progression is $3/6$ $3/2$ $5/2$ $1/6$

Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ...

go_editor

13.9k points

593 views

go_editor asked Mar 19, 2020

2 votes

1 answer

3

CAT 2017 Set-2 | Question: 99
An infinite geometric progression $a_{1},a_{2},a_{3},\dots\dots$ has the property that $a_n =3(a_{n+1}+a_{n+2}+\dots\dots)$ for every $n\geq 1$. If the sum $a_{1}+a_{2}+a_{3}+\dots\dots=32,$ then $a_{5}$ is $1/32$ $2/32$ $3/32$ $4/32$

An infinite geometric progression $a_{1},a_{2},a_{3},\dots\dots$ has the property that $a_n =3(a_{n+1}+a_{n+2}+\dots\dots)$ for every $n\geq 1$. If the sum $a_{1}+a_{2}+a...

go_editor

13.9k points

618 views

go_editor asked Mar 16, 2020

1 votes

1 answer

4

CAT 2017 Set-1 | Question: 87
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to $\sqrt{a}$ $2a$ $a/2$ $a$

Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to$\sqrt{a}$$2...

go_editor

13.9k points

679 views

go_editor asked Mar 13, 2020

1 votes

1 answer

5

CAT 2012 | Question: 8
If $(a^{2}+b^{2}),(b^{2}+c^{2})$ and $(a^{2}+c^{2})$ are in geometric progression, which of the following holds true? $b^{2}-c^{2}= \dfrac{a^{4}-c^{4}}{b^{2}+a^{2}} \\$ $b^{2}-a^{2}= \dfrac{a^{4}-c^{4}}{b^{2}+c^{2}} \\$ $b^{2}-c^{2}= \dfrac{b^{4}-a^{4}}{b^{2}+a^{2}} \\$ $b^{2}-a^{2}= \dfrac{b^{4}-c^{4}}{b^{2}+a^{2}}$

If $(a^{2}+b^{2}),(b^{2}+c^{2})$ and $(a^{2}+c^{2})$ are in geometric progression, which of the following holds true?$b^{2}-c^{2}= \dfrac{a^{4}-c^{4}}{b^{2}+a^{2}} \\$$b^...

Chandanachandu

332 points

613 views

Chandanachandu asked Mar 5, 2020

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