CAT Questions

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The original fraction is  2551 × 350+100150+100  = 15/17.

Given 15% of x = 20% of y

=> 15x = 20y

=> x/y = 20/15

=> x : y = 4 : 3

The series follows a pattern that,

-9², +8², -7², +6², -5²

The given number series is 3  24  186  1008  5040  20160

Here  the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 =  5040

5040 x 4 = 20160

Hence the Odd One in the number series is 186.

Here the given number series is 5  11  21  44  ?  175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

The given number series is 22, 11, 33, 16.5, 49.5, ?

22

22 / 2 = 11

11 x 3 = 33

33 / 2 = 16.5

16.5 x 3 = 49.5

49.5 / 2 = 24.75

Hence, the next number series is 24.75.

Suman is brilliant and dishonest is   P ∧~ R
Suman is brilliant and dishonest iff suman is rich is
Q ↔  (P ∧ ~ R)

Negative of statement is expressed as
~ (Q ↔(P ∧ ~ R)).

A Bill becomes a Law; a Larva becomes an insect. (Or)

A Bill turns into a law; a Larva turns into an Insect.