GATE Questions

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a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

Nutrients that are needed in large amounts are called Macronutrients.

There are three macronutrients required by humans:

1. carbohydrates (sugar),

2. lipids (fats), and

3. proteins.

Each of these macronutrients provides energy in the form of calories.

Some other macronutrients are: nitrogen (N), phosphorus (P), potassium (K), calcium (Ca), sulfur (S), magnesium (Mg), sodium (Na).

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m₁ = -p

m₂= -3

The condition for the two lines to be parallel is m₁=m₂

p = 3

All are blood relation except Daughter-in-law.

Mass means the amount of matter in an object. Anything that has Mass and takes up Space is called Matter.

The Study of Matter and and how matter changes is called Chemistry.

Matter has some mass and occupies some space. Space occupied by an object is called its Volume.

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

The given statement is False. Wild animals are considered as a natural resource.

Natural resources are resources taken from nature to satisfy our needs. These natural resources are:

1) Air

2) Water

3) Soil

4) Plants

5) Animals

6) Minerals

7) Forests

8) Natural Gas

9) Coal

10) Petroleum.