CAT Questions

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48, 54, 63, 81 and 105 are divisible by 3 but not 35.

Dr. G. D. Bist, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

He had achieved a highest speed of 250 w.p.m. in Shorthand.

Given Number:     4  2  1  5  7  9  3  6  8

Ascending order:  1  2  3  4  5  6  7  8  9

Hence the required pairs are  12, 49, 16

Here the given series 28, 12, 4, 2, -2 follows a pattern that

$$\begin{gathered} 28 \\ 28 - 24 = 28 - 16 = 12 \\ 12 - 23 = 12 - 8 = 4 \\ 4 - 22 = 4 - 4 = 0 (NOT 2) \\ 0 - 21 = 0 - 2 = -2 \end{gathered}$$

Hence, the odd man in the given series is 2.

In the given puzzle, the logic followed is

First digits comes from the number of letters in the word

Second digit is its serial number

Third digit is the addition of first and second digits

=> SUNDAY = 6713

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36) 

4 x 5 = 20

Hence, the odd man in the given number series is 36.

The given series follows the pattern that

So the missing number is  37 + 38 = 75

75 + 66 = 141

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