CAT Questions

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By trial and error method from the given options,

'1' satisfies the above given equation.

The given number series follows a pattern that, 4, 15, 37, 81, ?

4

4 + 11 = 15

15 + 22 = 37

37 + 44 = 81

81 + 88 = 169

Hence, the next number in the sequence is 169.

There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.

 Number of 7 digit numbers = 7!3!×2! = 420

But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.

=6!3!×2! = 60

Hence the required number of 7 digits numbers = 420 - 60 = 360

The given number series 9, 19, 21, 43, 45, ... follows a pattern that

ALternately (x 2 + 1) and  (x 1 + 2)

9 

9 x 2 + 1 = 19

19 x 1 + 2 = 21

21 x 2 + 1 = 43

43 x 1 + 2 = 45

45 x 2 + 1 = 91

Hence, the next number in the given sequence is 91.

Here the given words follow a relation in such a way that, grapes are made into wine. Similarly, squid are made into calamari.

Hence, Grapes : Wine :: Squid : Calamari

Badminton is national game of Indonesia.

Given below are some countries with their national games ::

Country                              National Game

Japan                                 Judo.

England                             Cricket.

Spain                                Bull Fighting.

Sri Lanka                           Volley Ball.

Indonesia                           Badminton.

China                                 Table Tennis.

Bhutan                               Archery.

USA                                   Baseball.

Canada                               Ice Hockey.

Bangladesh                         Kabaddi.

Pakistan                             Hockey.

Scotland                             Rugby Football.

Germany                            Football.

Argentina                            Pato.