CAT Questions

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Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28

It is in the form of

 a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c

Here a = 37, b = 35 & c = 28 

=> a + b + c = 37 + 35 + 28 = 100

Therefore,   = 100

Number of squares in the given figure is

16 + 9 + 19 + 1 = 45.

Given 

6   3   3   6   24   ?

Here

6

6 x 0.5 = 3

3 x 1 = 3 

3 x 2 = 6

6 x 4 = 24 

24 x 8 = 192

The next number in the given series is 192.

Fathometer is used to measure Ocean depth.

Fathometer is A depth finder that uses sound waves to determine the depth of water.

The Richter Scale is used to measure the intensity of Earthquakes.

The Decibel Scale is used to measure sound intensity.

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

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

Fruit % in freshfruit = Fruit% in dryfruit 

Therefore, (32/100) x 100 = (80/100 ) x y 

we get, y = 40 kg.

Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.