CAT Questions

---

The given number series is  21 56 102 160 231 316

21      56       102        160      231       316         416

   +35    +46       +58       +71      +85       +100

        +11      +12       +13      +14      +15

Hence, the next number in the given number series is 316 + 100 = 416.

The above given sequence follows a pattern that,

$$\begin{gathered} 1 \\ 22 = 4 \\ 33 = 27 \\ 44 = 256 \\ 55 = 3125 \\ 66 = 46656 \\ and so on... \end{gathered}$$

Therefore, the next two numbers in the given sequence is 256 & 3125.

'Internet' is the shortened form of 'INTERnational-NETwork' which is the interconnected network of all the Web Servers worldwide. It is often called the 'World Wide Web'. 

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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 152, 124, 96, 69, 40

152

152 - 28 = 124

124 - 28 = 96

96 - 28 = 68 (not 69)

68 - 28 = 40

Hence, the odd man in the given number series is 69.

The given number series is 8, 16, 20, 36, 68

8

8 x 2 - 4 = 12 (NOT 16)

12 x 2 - 4 = 20

20 x 2 - 4 = 36

36 x 2 - 4 = 68

Hence, the odd man in the given series is 16.

It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.