GATE Questions

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(3x + 2) (2x - 5) = ax2+kx+n ...............(1)

But (3x + 2)(2x - 5) = 6x2-11x-10........(2)

so by comparing (1) & (2),

we get a= 6, k= -11 , n= -10

(a - n + k) = 6 + 10 - 11 = 5.

Let the distance between A and B = D

Given the speed of maruthi = 60 kmph

Maruthi reaches from A to B in 6 hrs 20 min = 6 + 20/60 = 6 1/3 hrs

Now, the distance between A & B = D = speed x time = 60 x 19/3 = 380 kms

As the distance is same for toyato also,

given time for toyato = 4 hrs 45 min = 4 + 45/60 = 4 3/4 = 19/4 hrs

speed of toyato = distance/time = 380/19/4 = 380 x 4/19 = 80 kmph.

From solving 1 and 2 we get,

1.

5a(a-3)-3(a-3) = 0

(5a-3)(a-3) = 0

a = 3 or 3/5

2. 

3b(b+2)-1(b+2) = 0

b = -2 or b = 1/3

Here when a = 3, a > b for b = -2 and b = 1/3

when a = 3/5. a > b for b = -2 and b = 1/3.

Hence, it is clear that a > b. 

Covalent bonds hold atoms together because the attraction between the positively charged nuclei and the negatively charged shared electrons is greater than the repulsions between the nuclei themselves.

Oxygen in our blood is transported by a protein named Haemoglobin.

Carbohydrates are also called as saccharides are molecular compounds made from just three elements:

carbon, hydrogen and oxygen.

Carbohydrates are:

* a source of energy for the body e.g. glucose and a store of energy, e.g. starch in plants

* building blocks for polysaccharides (giant carbohydrates), e.g. cellulose in plants and glycogen in the human body

* components of other molecules eg DNA, RNA, glycolipids, glycoproteins, ATP

Types:

1. Monosaccharides (e.g. glucose) and

2. Disaccharides (e.g. sucrose) are relatively small molecules. They are often called sugars.

3. Other carbohydrate molecules are very large called Polysaccharides such as starch and cellulose.

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

Caffeine is also a psychoactive drug which alters the mood and conscious in our behaviour. It is widely consumed as a psychoactive drug.