GATE Questions

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The given series is 8, 14, 24, 60, 180

8

8 x 1.5 = 12 (NOT 14)

12 x 2 = 24

24 x 2.5 = 60

60 x 3 = 180

Hence, the odd man in the given series is 12.

The given number series 410, 409, 413, 404, ? , follows a pattern that 

410

$$\begin{gathered} 410 - 13 = 409 \\ 409 + 22 = 413 \\ 413 - 33 = 404 \\ 404 + 42 = 420 \end{gathered}$$

Hence, the next number in the given series is 420.

As the sentence talks about the past it is apt to say. 'Had you been more careful ...'.

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

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

2.5 × 1 + 1 = 3.5

3.5 × 2 + 2 = 9

9 × 4 + 4 = 40

40 × 8 + 8 = 328

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 given series follows a pattern that,

19 x 19 x 19 = 6859

18 x 18 x 18 = 5832

17 x 17 x 17 = 4913

16 x 16 x 16 = 4096

15 x 15 x 15 = 3375

So, the missing number in the given series = 4913