GATE Questions

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The given number series is 125,   138,   164,   ?,   255

125

125 + 13x1 = 138

138 + 13x2 = 164

164 + 13x3 = 203

203 + 13x4 = 255

Hence, the missing number in the series is 203.

The terms of the series are products of two consecutive prime numbers i.e.

(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

Here the given series is 1, 3, 6, 11, 20, 37, ??,

and the logic behind the series is

1 x 2 + 1 = 3

3 x 2 + 0 = 6

6 x 2 + (-1) = 11

11 x 2 + (-2) = 20

20 x 2 + (-3) = 37

37 x 2 + (-4) = 70

Hence, the next number in the given series is 70.

Vaunt - Vaunt means to boast or to praise about something excessively.

Flaunt - Flaunt also means to boast about something or to praise something.

Flaunt is the synonym of the word Vaunt.

Disparate - Disparate means essentially different in its kind or unlike or not able to be compared.

Then the required word is the synonym of Disparate.

Here in the given options, Contrast is the only word which is similar in meaning of Disparate.

Hence, Vaunt : Flaunt :: Disparate : Contrast.

The pattern followed is +3 , +6 , +12 , +24 , +48

56% of 870 = 56x870/100 = 487.20

82% of 180 = 82x180/100 = 147.60

32% of 90 = 32x90/100

487.20 + 147.6 - 28.8  =  ?

? = 634.8  - 28.8

? = 606.

If we consider the given numbers  6, 4, 9, 10, 11 to be the month number then we can easily find the killer.

6 – June – J

4 – April – A

9 – September – S

10 – October – O

11 – November – N

Hence the answer is JOEL.

Goose can Honk without using a Horn. Geese are waterfowl of the family Anatidae.