CAT Questions

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circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

When 16nis divided by 9, we have

 1619, remainder = 7  

1629, remainder = 4 

1639, remainder = 1 

1649, remainder = 7 

1659, remainder = 4 

1669, remainder = 1 

So, we have cyclicity of 3 factors i.e 7,4,1. 

Hence only 3 remainders are possible.

Let x be the number.

Given: x = 296n + 75 [where n is quotient] 

 --> (378n) +( 372 + 1) 

 -->37(8n + 2) + 1

Hence, when x divided by 37, 1 is the remainder.

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

Swami Vivekananda had introduced yoga first time to western world in a religion conference Chicago, America in 1893.

In the annual World University Rankings released by Times Higher Education, the Indian Institute of Science of India has reached 251-300 band from last year's 201-250 band, while Oxford and Cambridge universities are on the top in the Global 1000 list.

We have 12 months.

In every month we get 28 or more days. 

So that implies we get 28 days in each and every month.