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Friday, March 24, 2017

Math Puzzle 8 [With Answers]

Puzzle 1: How can these be equal?

In which meaning 1070 = 1110?

Answer: 10 hours 70 minutes equals 11 hours 10 minutes.

Puzzle 2: If

5, 3, 2 = 151022

9, 2, 4 = 183652

8, 6, 3 = 482466

5, 4, 5 = 202541

Then,

7, 2, 5 =?

Answer: It is in the form of (a × b) (a × c) [(a × b) (a × c) - b]

7, 2, 5 = (7 × 2) (7 × 5) [(7 × 2) (7 × 5) - 2] = 143547

Puzzle 3: If

1, 6 = 37

3, 8 = 67

5, 9 = 86

7, 12 = 151

Then,

9, 13 =?

Answer: It is in the form of [(b × b) + a]

9, 13 = (13 × 13) + 9 = 178

Puzzle 4: If

1 + 2 = 13

2 + 3 = 61

3 + 4 = 193

Then,

4 + 5 =?

Answer: A + B = (A × B + 2)² - 3

4 + 5 = (4 × 5) = (20 + 2)² = 484 - 3 = 481

Puzzle 5: To solve this, replace a n digit number by adding all digits, and solve, keep on repeating it until you get single digit.

10 × 11 × 12 = 9

11 × 12 × 13 = 9

12 × 13 × 14 = 9

13 × 14 × 15 = 9

14 × 16 × 20 =?

Answer:

10 × 11 × 12 = {(1 + 0) (1 + 1) (1 + 2)}² = 6² = 36 = (3 + 6) = 9

11 × 12 × 13 = {(1 + 1) (1 + 2) (1 + 3)}² = 24² = 576 = (5 + 7 + 6) = 18 = 1 + 8 = 9

12 × 13 × 14 = {(1 + 2) (1 + 3) (1 + 4)}² = 60² = 3600 = (3 + 6 + 0 + 0) = 9

13 × 14 × 15 = {(1 + 3) (1 + 4) (1 + 5)}² = 120² = 14400 = (1 + 4 + 4 + 0 + 0) = 9

14 × 16 × 20 = {(1 + 4) (1 + 6) (2 + 0)}² = 70² = 4900 = (4 + 9 + 0 + 0) = 13 = 1 + 3 = 4