CAT Questions

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Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

I am Keyboard.

A Keyboard has keys of letters, space button and enter button.

A machine is made to work by a man. Similarly, a slave is made to work by a master.

Hence, Man:Machine::Master:Slave.

Initial quantity of copper =80100 x 50 = 40 g 

And that of Bronze = 50 - 40 = 10 g

Let 'p' gm of copper is added to the mixture

=> 50 + p x 90100 = 40 + p

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.

Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1

Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

The Sarvodaya Movement was started by Vinoba Bhave on 18 April 1951 at Pochampally village in Nalgonda district who was directly influenced by Gandhi. 

The meaning of Sarvodaya is a combination of two words Sarva meaning one and all, and Uday meaning welfare or uplift. Thus it implies Universal uplift or welfare of all as.

From the given data,

Largest number = 974

Therefore, the required number is 749.