Math Puzzles Questions

Let the given be resembled in letters like R, G & B.

Here given,

1) R + R + R = 30

=> 3R = 30 => R = 30/3 = 10

2) R + G + G = 18 => R + 2G = 18 => 10 + 2G = 18 => 2G = 8 => G = 4

3) G - B = 2 => B = G - 2 => B = 4 - 2 => B = 2

Hence, R + G + B = 10 + 4 + 2 => 16.

394  is the code to unlock the key.

If you take the second statement, 7 is incorrect from the first statement and 1 is incorrect from the fourth statement. Hence 4 is correct, but not on the second place. From the third statement, 4 is not on the first place. Hence 4 is on the third place.

From the fifth statement either 6 or 9 is correct. But combining it with the third statement, 6 is incorrect. Hence along with the first statement, 9 is correct and on the second place.

From the third statement, 3 is correct and on the remaining first place.

From the given data, 

if 60% = 45 minutes

100% =  ?

=> 45 × 100/60

= 75 min

i.e, = 1hr 15 min.

5 + 5 = 10

5x 2 + 2 = 12

5 x 2 - 1 x 5 = 5

Hence, ∆ = 1.

A + B = 15 .... (1)

B x C = 84 .... (2)

C ÷ 4 = 3  .... (3)

B + D = 18 .... (4)

From (3), we get C = 12

From (2), we get B = 84/12 = 7

From (1), we get A = 15 - 7 = 8

From (4), we get D = 18 - 7 = 11

Hence, D = 11.

By trial and error method,

P=0, Q=9, R=0 satisfies the values.

Pages are denoted as 

1 - 9 = 09

10 - 99 = 90*2 = 180

100 = 03

Hence, total number of digits = 09 + 180 + 03 = 192.

The logic in this puzzle is summing the result of [subtraction of upper two digits] & [addition of lower two digits] 

Hence, the result is  

(5 - 3) + (2 + 8) = 2 + 10 = 12.