GATE Questions

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Oxygen is the final electron acceptor of cellular respiration.

All the carbon atoms in glucose ultimately incorporated during cellular respiration into carbon dioxide molecules.

Blue Zone is the hottest part of the flame that is where the flame has the most Oxygen and you are getting complete combustion. It is about 1400 degrees Centigrades. The Reddish part (Non - Luminous Zone) is the coolest part, about 800 deg C.

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36 

A person who pretends to be what he is not is an Imposter.

They watch no movie during the working days, but in holidays they watch one movie.

is correctly written among the given options.

Stamps are what travel around the worldstaying in one spot. Slippers and walking stick can also travel around the world but they will not stay at one spot. So they are eliminated.

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

The formula to find sum of all numbers in a permutation is

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

No of 1 s depends on number of digits

So,the answer us

111 x 20 x (0+1+2+3+4+5) = 33300

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

Hope u understood why we use 4. Each number can be formed in 4x1 ways

So, the final answer is 33300-660 = 32640