GATE Questions

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Here the given number series is 5  11  21  44  ?  175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.

So conclusion A does not follow.

In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.

Thus, conclusion B does not follow either.

The pattern of given series is :

5

14 = (5x3) - 1

45 = (14x3) + 3

130 = (45x3) - 5

(?) = (130x3) + 7

=> (?) = 397

1182 = (397x3) - 9

Thus, the missing number is 397.

The series follows a pattern that,

-9², +8², -7², +6², -5²

The given number series follows 5, 4, 9, 32, 308 pattern that

5

5 x 1 - 1 = 4

4 x 3 - 3 = 9

9 x 5 - 5 = 40 (not equals to 32)

40 x 7 - 7 = 273

Hence, the odd man in the given number series is 32.

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

Hence, the next number in the given number series is 7.5.

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$$\begin{gathered} 22 \\ 22 + 22 = 22 + 4 = 26 \\ 26 + 42 = 26 + 16 = 42 \\ 42 + 62 = 42 + 36 = 78 \\ 78 + 82 = 78 + 64 = 142 \\ 142 + 102 = 142 + 100 = 242 \end{gathered}$$ 

Hence, the odd one in the given number series is 244.

The given number series follows a pattern that,

$$\begin{gathered} 19 + 12 = 20 (not 21) \\ 20 + 22 = 24 \\ 24 + 32 = 33 \\ 33 + 42 = 49 \\ 49 + 52 = 74 \end{gathered}$$

Hence, the odd number in the given number series is 21.