CAT Questions

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Dates on which Tuesday fall are 3,10,17, and 24

Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday

Required day of the month = Friday - 4 = Monday

Madras Atomic Power Station (MAPS) located at Kalpakkam about 80 kilometers (50 mi) south of Chennai, India, is a comprehensive nuclear power production, fuel reprocessing, and waste treatment facility that includes plutonium fuel fabrication for fast breeder reactors (FBRs) is the only atomic power station in India that was built completely indigenously.

Let the percentage of benzene = X
(30 - X)/(X- 25) = 6/4 = 3/2
=> 5X = 135  
X = 27

So, required percentage of benzene = 27 %

I      II     III

65   58   100

65 -------- 7
100 ------ ?  => 10.769%

Let the total distance of the journey of a man = d kms

Now, the average speed of the entire journey = dd120 + d120 + d40 = 24 kmph.

The fruit content in both the fresh fruit and dry fruit is the same.

Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes

=> $$\begin{gathered} 60 x 40100 = p x 60100 \\ => p = 40 kgs. \end{gathered}$$

Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.

Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age  = 48

His sister is 10 years younger => 48 - 10 = 38 years.