Latest Elitmus Aptitude Question SOLUTION: what is ratio of a:b? 1. a=b-8. 2.a^2=b^2

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(#M40025802) ELITMUS question data sufficiency Keep an EYE

what is ratio of a:b?
1. a=b-8.
2.a^2=b^2

Asked In Elitmus gyaneshvari (10 years ago)

Unsolved Read Solution (11)

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Shriya Nagpal  (10 years ago)

from second statement alone:
a^2=b^2
a^2/b^2=1
===>a/b=+1 or -1
It can be either +1 or minus 1

from first and second :

b=b-8
(b-8)^2=b^2
b^2+64-16b=b^2
b=4
a=-4
a/b=-1

So question can be answered by using both the statements

Is this solution Helpfull? Yes (16) | No (2)  

Ajit Kumar  (10 years ago)

a^2 = b^2 will alone give us the ratio a:b=square root of 1=+1 or - 1

Is this solution Helpfull? Yes (8) | No   

rajveer singh  (10 years ago)

since you don't have to solve this return you just have to tell that which equation is sufficient to get the required ratio so only second equation is sufficient to solve the equation so it's answer is A.

Is this solution Helpfull? Yes (4) | No (1)  

Adarsh Panicker  (10 years ago)

Agreed with shriya.
Both the statements are required and the a/b = -1

Is this solution Helpfull? Yes (3) | No   

sonu kumar  (10 years ago)

a=b-8 1. -------eqution
a^2=b^2 2.--------eqution
from 1 eq..
=>a^2/b^2=1
=>(b-8)^2/b^2=1
then we get b=4
now put the valu of b in equ.. 1
then a=-4
and then put in eqn--2
then a=-4,+4
we take -4 for a because of both in -4 comman
then a:b=-4:4
=>a:b=-1 answer......

Is this solution Helpfull? Yes (2) | No   

ankit chauhan  (10 years ago)

@ shriya yr kehna kya chah rhi ho from second statement alone ya both the statement required..

Is this solution Helpfull? Yes (1) | No   

Alok Gayakwad  (10 years ago)

only with the help of 2nd equation we can find solutation.
1st eq. a=b-8 from this we can't find the ratio of a and b. but
2nd eq. a^2=b^2; we have
a^2/b^2=1 => a/b=1 or a/b=1/1

Is this solution Helpfull? Yes (1) | No   

sudhakar verma  (10 years ago)

Both statement will be require to give one solution.. :)

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anshu  (10 years ago)

a:b=-1:1
ans=-1:1

Is this solution Helpfull? Yes | No (2)  

ajay negi  (10 years ago)

bhai logo iska shi answer kya h

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RAHUL RAUTH  (10 years ago)

a2=b2 whr a=b-8
put in equ 2
then we get (b-8)^2=b^2
then by solving it we get b=4
then put d value of b=4 in equ 1
we get a=-4
then a:b=-1:1

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