# Number Puzzles Questions

A) 7 | B) 14 |

C) 10 | D) 19 |

Explanation:

Adding the corresponding numbers in first and last figures gives the corresponding number in the middle figure.

i.e, 4 + 3 = 7

13 + 2 = 15

2 + 4 = 6

9 + 1 = 10

We can make an equation:

3(100000 + x) = 10x+1

(Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number)

Solving this gives:

10x+1 = 3(100000 + x)

10x+1 = 300000 + 3x

10x = 299999 + 3x

7x = 299999

x = 299999/7 = 42857

The answer is 42857 (142857 is three times smaller than 428571).

A) 72 | B) 76 |

C) 84 | D) 90 |

Explanation:

The logic in the given puzzle is

4 + 4 = 4 * 4+1 = 4 * 5 = 20

5 + 5 = 5 * 5+1 = 5 * 6 = 30

6 + 6 = 6 * 6+1 = 6 * 7 = 42

7 + 7 = 7 * 7+1 = 7 * 8 = 56

Similarly

9 + 9 = 9 * 9+1 = 9 * 10 = 90.