GATE Questions

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We can make an equation:

3(100000 + x) = 10x+1

(Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number)

Solving this gives:

10x+1 = 3(100000 + x)
10x+1 = 300000 + 3x
10x = 299999 + 3x
7x = 299999
x = 299999/7 = 42857

The answer is 42857 (142857 is three times smaller than 428571).

We know M1×D1×H1W1 = M2×D2×H2W2 

=> 15×4×1435 = M×8×1050

=> M = 15

Lines of latitude measure north-south position between the poles.

Lines of latitude are imaginary reference lines that describe how far north or south a location on the Earth is from the Equator. The equator is defined as 0 degrees, the North Pole is 90 degrees north, and the South Pole is 90 degrees south. Lines of latitude are all parallel to each other, thus they are often referred to as parallels.

Common properties of Minerals are :

1. All minerals are formed in a natural process.

2. Minerals are inorganic

3. Minerals are crystalline solids.

4. Every mineral is an element or compound with a definite chemical composition.

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 =  2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

Required, age of Kapil after 4 years = 11 + 4 = 15 years.

Distance between two Consecutive Crests or two Consecutive Troughs is called Wavelength. But the distance between crest and adjacent trough is half the wavelength.

That is the distance between adjacent crest and trough is called Half the wavelength.

Plants make their own food through the process of photosynthesis. Plants are self-sufficient. Green plants have the ability to prepare their own food and this is the reason why they are called autotrophs.

They make their own food through the process of photosynthesis using light energy to make sugars from carbon dioxide (C02) and water (H20). The chlorophyll which is present in the leaves is the main reason for the production of food in the plants and it is the reason for the greenery of the leaves too.