Latest Elitmus Aptitude Question SOLUTION: ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares hal

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(#M40157162) ELITMUS Numerical Ability question Keep an EYE

ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG?

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Asked In Elitmus SHUBHAM (7 years ago)

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Read Solution (8) :

amit  (7 years ago)

A------------B - - - - - -- -E
| | 50% |
G------------|- - - - - - - -F
| |
| 75% |
D -----------C

remaining Square 75% and remaining rectangle 50%

Rectangle share 25% area of Square so,
AB X AG = (AD X AB)/4
AD = 4 AG------------------(1)

Square share Half the area of Rectangle So,
AG X AB = (AE X AG)/2
AB = AE/2------------------(2)

in square all sides are equal i.e. AB=BC=CD=AD so, equation (1) and (2) both are equal
AE/2 = 4 AG
AE/AG = 8
AE : AG = 8:1 Ans.

Is this solution Helpfull? Yes (8) | No (1)  

Yashvardhan Singh  (7 years ago)

As mentioned in question AE is on line and AG is on line "segment" so, figure can be drawn....
Now ,,,,,
First the question is saying rec sahres 25% are of square.... That gives us
AB X AG = 1/4(AD X AB)
From this we get .....
AD=4AG.............. eq1
Now the question is saying square shares half area of rec....so..
AE X AG = 2(AB X AG)
This gives..
AE/2=AB.....eq2
Now as ABCD is square.... AB=AD...
So...
AE/2=4AG...
AE:AG = 8:1....
This should be the ans....according to me. :)

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suvasree chatterjee  (7 years ago)

PLZ EXPLAIN UR ANS

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SHUBHAM  (7 years ago)

Let’s assume side of square is x
and side of rectangle is y
We know that A, B & E are Collinear , so our square & rectangle position with we like this
A-------------B------------E
| | |
G--------------------------F
| |
| |
| |
D-------------C
Let’s assume side of square is x=AB=BC=DC=AD
and other side of rectangle is y=AG=EF

According to condition, if A, B & E are in same line and rectangle share 50 % of its area with square than means
Rectangle ABOG=BEFO and from it we can make that AB=BE=x as we assumed.

Square area = x^2
Rectangle area = (2*x)*y…(because AE=2*x)
Cond 1) 25 % area of square shared with rectangle,
Cond2) 50% area of rectangle shared with square,
So by these condition we can conclude that 25% of square area equals with 50% of rectangle’s area,
Putting these we get, (x^2)/4={(2*x)*y}/2
=>x=4*y………………(i)

Need to FIND : AE/AG => (2*x)/y
Put eq (i) into this, (2*4*y)/y=8
Answer = 8 units

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mansi bansal  (7 years ago)

8 is the answer

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mansi bansal  (7 years ago)

if anybody has given elitmus on 7 august 2016 and solved this question:
Smita and Deepika took part in a 10m race in the year 2009 in which deepika win.So she decided to improve and ratio of her speed in the 2008 to 2009 is 5:6 and in the year 2009 to 2010 is 5:6.What is the percentge change in her speed from 2008 to 2010 ?

plse tell me the answer i dont remember the exact digits

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kislaya srivastava  (7 years ago)

After the diagram which is drawn below,the question wants the ratio of length and breadth.
So suppose the side of square is a. Therefore the breadth of rectangle is a/4 and length will be 2a. So the ratio is 8:1 (length: breadth)

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Dharmendra   (7 years ago)

mansi ur ans should be 44%

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