CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

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How to solve this one..

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 In a circle chord CD is perpendicular to the diameter AB and meets it at E. The length (in cm) of AB and CD are integral values. The length (in cm) of AB is a 2-digit number and the length (in cm) of CD is obtained by reversing the digits of AB. The length (in cm) of OE, where O is the centre of the circle, is a rational number. Find the length of AB. 

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Approach please

Q36 can anyone do this?

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6 boys n 10 girls complete job in 12 days. They completed 50% of job

They are joined by 2 more boys n girls each and now 2/3rd of the remaining work is completed

Remaining work is done by 1girl in how many days?


approach please

The percentage volumes of milk in three solutions A,B and C form a geometric progression in that order. If we mix the first, second and third solutions in the ratio 2:3:4, by volume we obtain solution containing 32% milk. If we mix them in the ratio 3:2:1, by volume, we obtain a solution containing 22% milk. What is the percentage of milk in A?

a) 6% 

b) 12%

c) 18% 

d) 24%

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[img]https://i.imgur.com/1gbeltN.png[/img]


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Solution please?

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https://s1.postimg.org/2o9qwpcm67/screenshot_50.jpg


Official Answer : 48

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Q. How many numbers less than 100 can be expresses as a difference of two perfect squares in only one way?