CAT Questions

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Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65

The mother completes the job in x hours.
So, the daughter will take 2x hours to complete the same job.

In an hour, the mother will complete 1/x of the total job.
In an hour, the daughter will complete 1/2x of the total job.

So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.
i.e., in an hour they will complete 3/2x of the job.

The question states that they complete the entire task in 6 hours if they work together.
i.e., they complete 1/6 th of the task in an hour.

Equating the two information, we get 3/2x = 1/6
By solving for x, we get 2x = 18 or x = 9.

The mother takes 9 hours to complete the job.

Here simple coding language has been used. Each letter has been assigned a numeric code and the respective code of letters are in the same order as the letters. 

Letter      B  E  L  M  O  P  R

Code         8  7  3  5  4  2  9

 BORE -> 8497 -- correct

 MOEP -> 5472 But given 5972 --- Incorrect

 LBOR -> 3849  -- correct

OMEP -> 4572  -- correct

MICR stands for Magnetic Ink Character Reader.

The given letter equation 26 L of the A implies that 26 Letters of the Alphabet.

The treaty established the boundary between the Mughal empire and the Ahom kingdom ending the Mughal's efforts to conquer Ahom.

Sum of 4 digit numbers = (2+4+6+8) x P33 x (1111) = 20 x 6 x 1111 = 133320 

Sum of 3 digit numbers = (2+4+6+8) x P23 x (111) = 20 x 6 x 111 = 13320 

Sum of 2 digit numbers = (2+4+6+8) x P13 x (11) = 20 x 3 x 11 = 660 

Sum of 1 digit numbers = (2+4+6+8) x P03 x (1) = 20 x 1 x 1 = 20 

Adding All , Sum = 147320

Indian teen Rifath Sharook from Tamil Nadu has designed the world’s lightest & smallest satellite named “KalamSat”. The satellite weighs only 64 grams and will be launched by NASA on June 21, 2017. With this, he will become the first Indian student to have his experiment launched by NASA. The main role of the satellite will be to demonstrate the performance of 3-D printed carbon fibre. The satellite has been designed in a way which will have a 240-minute mission in space and will operate for 12 minutes in a micro-gravity environment of space.