GATE Questions

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Time = (100 x 81) / (450 x 4.5) = 4 years.

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5

Remaining work=1-2/5=3/5

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50

Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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 is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

Hence, the next number in the given number series is 278.5.

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

$$\begin{gathered} 96 \\ 96 - 12 = 95 \\ 95 - 23 = 95 - 8 = 87 \\ 87 - 32 = 87 - 9 = 78 \\ 78 - 43 = 78 - 64 = 14 \end{gathered}$$

Hence, the next number in the given number series is 14.

Giraffe is the animal that do not make any sound.

Here the given words represent synonyms.

Exhibit and Display are synonyms for each other. Similarly, Send and Emit are synonyms for each other.

Hence, Exhibit : display :: send : Emit.

Saw, Zipper and Gear have teeth but can bite us. Comb have teeth but cannot bite.