GATE Questions

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The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

Hence, the missing number in the series is 33.

6-3 = 3 9-4 = 5 (3x5=15) 15=O
7-2 = 5 7-3 = 4 (5x4=20) 20=T
9-6 = 3 5-1 = 4 (3x4=12) 12=L

Similarly, 4-1 = 3 8-5 = 1 (3x1=3) 3=C

'Autonomy' means personal independence. Hence, the word 'dependence' is farthest in meaning to the given word 'Autonomy'.

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

The given number series is 180, 90, 60, 40, 36

It follows a pattern that,

180 x 1/2 = 90

90 x 2/3  = 60

60 x 3/4  = 45 (NOT 40)

45 x 4/5  = 36

Hence, the wrong number in the given series is 40.

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.

206 Bones in the Human Body.

The given number series is 6, 6, 9, 18, 45, ?

Here the series follows a pattern that,

6 

6 x 1 = 6

6 x 1.5 = 9

9 x 2 = 18

18 x 2.5 = 45

45 x 3 = 135

Hence, the next number in the given number series is 135.