GATE Questions

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Drinking alcohol can cause many damages to your body. Your vision can be affected as you will face blurred and double vision and even you can't identify colors.

The number of bonds between a pair of atoms is called the bond order.

Bond orders can be calculated from Lewis structures, which are the heart of the valence-bond model. Oxygen, for example, has a bond order of two.

When there is more than one Lewis structure for a molecule, the bond order is an average of these structures. The bond order in sulfur dioxide, for example, is 1.5  the average of an S-O single bond in one Lewis structure and an S=O double bond in the other.

In molecular orbital theory, we calculate bond orders by assuming that two electrons in a bonding molecular orbital contribute one net bond and that two electrons in an antibonding molecular orbital cancel the effect of one bond. We can calculate the bond order in the O₂ molecule by noting that there are eight valence electrons in bonding molecular orbitals and four valence electrons in antibonding molecular orbitals in the electron configuration of this molecule. Thus, the bond order is two.

Interest earned in scheme M =   

P1 + 201002 - 1 = 11P25

Interest earned in scheme N =  

P x k x 2100 = Pk50

Now, from the given data,

11P25 = 2 x Pk50

k = 11

Given speed of the bike after servicing = 55 kmph

Time taken for travelling some distance at 55 kmph = 5 hrs

Then, 

Distance = Speed x Time = 55 x 5 = 275 kms.

Now, 

Speed of the bike before servicing = 35 kmph

Distance = 275 kms

Now, Time = Distance/Speed = 275/35 = 7.85 hrs =~ 8 hrs.

Here the given series 7  18  42  94  204 follows a pattern that, 

7

7 ×2+4 = 18

18 ×2+6 = 42

42 ×2+10 = 94

94 ×2+16 = 204

Similarly,

4

4 ×2+4 = 12

12 ×2+6 = 30

30 ×2+10 = 70

70 ×2+16 = 156

Hence, the value of P = 156.

We Know that sum of the n natural numbers =n(n+1)2

Then sum of 50 natural numbers= 50(51)2= 1250

Average of the 50 natural numbers = 125050 = 25.5

Hicky's Bengal Gazette was the first English-language newspaper and the first printed newspaper to be published in both the Indian sub-continent and in Asia. James Augustus Hicky, an Irishman started this in 1780.

The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.