CAT Questions

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Golf player Vijay Singh is an Indo-Fijian belongs to Fiji. He was born in 1963, who was number 1 in the Official World Golf Ranking for 32 weeks in 2004 and 2005.

He was nicknamed as "The Big Fijian", has won three major Golf Championships. He has started his profession career from 1984.

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.

I.  (a - 3)(a - 4) = 0

=> a = 3, 4

II.   (b - 2)(b - 1) = 0

=> b = 1, 2

=> a > b

The nationalisation of banks in India took place in 1969 by Mrs. Indira Gandhi the then prime minister. It nationalised 14 banks then. These banks were mostly owned by businessmen and even managed by them. Before the steps of nationalisation of Indian banks, only State Bank of India (SBI) was nationalised. It took place in July 1955 under the SBI Act of 1955.

Nationalisation of Seven State Banks of India (formed subsidiary) took place on 19th July, 1960.

1955 : Nationalisation of State Bank of India.
1969 : Nationalisation of 14 major banks.
1980 : Nationalisation of seven banks with deposits over 200 crores.

From statement B, 

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

Two series alternate here, with every third number following a different pattern.
In the main series, 4 is added to each number to arrive the next.
In alternate series, 5 is subtracted from each number t arrive the next number.
Here in the main series
3 + 4 = 7
7 + 4 = 11
11 + 4 = 15
15 + 4 = 19

In alternate series
24 - 5 = 19
19 - 5 = 14...