CAT Questions

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The Logic followed in the given puzzle is :

L x P = 12 x 16 = 192 (Alphabetical numbers of L & P)

P x T = 16 x 20 = 320 (Alphabetical numbers of P & T)

Similarly, K x () = 132 => () = 132/11 = 12 => L

Hence, the missing letter is L

Here in the above given question, the mistake is "the is reapeated twice" before mistake.

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as 'Matoshree'.

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.

8 adults 12 days work,
One adult’s one day’s work = 1/96.

Work done in 3 days = ((1/96) x 16 x 3) = 1/2

Remaining work = 1 – 1/2 = 1/2

(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

MIPS refers millions instruction per sec and is used to measure the speed of Processor.

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.