CAT Questions

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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.

SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80

SP1 = 120
100 --- 20   => 20%

The series follows a pattern that,

-9², +8², -7², +6², -5²

Recall it is based on inverse proportion or product constancy concept.

     Reducion in price                      increase in amount

         25%     1/4                              1/3   33.33% = 4 oranges

It means original number of oranges = 4 x 3 = 12

original price of oranges = 16/12 = Rs. 1.33

Here the given series 222, 271, 308, 332, 348, 357 follows a pattern that

222

222 + 49  271

271 + 36 = 307 (NOT 308)

307 + 25 = 332

332 + 16 = 348

348 + 9 = 357

Hence, the odd man in the fiven number series is 308.

Given that container has 50 litres of milk.

 After replacing 8 litres of milk with water for three times, milk contained in the container is:

 ⇒501-8503

⇒50×4250×4250×4250  = 29.63 litres.

The pattern of given series is :

5

14 = (5x3) - 1

45 = (14x3) + 3

130 = (45x3) - 5

(?) = (130x3) + 7

=> (?) = 397

1182 = (397x3) - 9

Thus, the missing number is 397.