GATE Questions

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In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

The given number series 2, 19, 0, 21, –2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

Hence, the next number in the series is 23.

Firstly Rain falls and then Sun comes and Rainbow forms. After that Child sees the rainbow and feels Happy.

12 S of Z represents 12 Signs of the Zodiac. 

It is similar to the  

1. 52 W in a Y        -  52 weeks in a year  

2. 3 H in a C          -  3 Hands in a Clock  

3. 3600 S in an H   -  3600 Seconds in an Hour 

4. 5 O in the W      -   5 Oceans in the World

In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.

M + Tu + W + Th = 4 x 48 = 192
Tu + W + Th + F = 4 x 46 = 184
M = 42
Tu + W + Th = 192 - 42 = 150
F = 184 – 150 = 34

Fence protects the Yard & Membrane protects the Cell.

Fence surrounds the Yard and allows the certain objects in & out of it whereas a Membrane surrounds the Cell & only allows specific nutrients inside of it.

Hence, Yard is to Fence as Cell is to Membrane.

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80