# Puzzles Questions

The answer is letter **‘f’.**

1 year = 12 months (February = 1 `f`, comes only once in the spelling of all the months)

1 month = 4 weeks (first, fourth = 2 f’s, comes twice in a month)

1 week = 7 days (first, fourth, fifth = 4 f`s, comes 4 times in a week)

1 day = 24 hours (four, five, fourteen, fifteen, twenty-four= 6 f’s, comes 6 times in a day

A) Redgan | B) Dengar |

C) Garden | D) Regdan |

A) 3 | B) 6 |

C) 9 | D) 12 |

Explanation:

**From the given equations,**

$(\mathrm{a}+\mathrm{b}+\mathrm{c}{)}^{2}={\mathrm{a}}^{2}+{\mathrm{b}}^{2}+{\mathrm{c}}^{2}+2(\mathrm{ab}+\mathrm{bc}+\mathrm{ca})$

${\left(6\right)}^{2}=14+2(\mathrm{ab}+\mathrm{bc}+\mathrm{ca})$

36 - 14 = 2(ab + bc + ca)

22/2 = ab + bc + ca

ab + bc + ca = 11

${\mathrm{a}}^{3}+{\mathrm{b}}^{3}+{\mathrm{c}}^{3}-3\mathrm{abc}=(\mathrm{a}+\mathrm{b}+\mathrm{c})({\mathrm{a}}^{2}+{\mathrm{b}}^{2}+{\mathrm{c}}^{2}-\mathrm{ab}-\mathrm{bc}-\mathrm{ca})$

= (6) (14 - 11)

=(6)(3)

=18

Since, ${\mathrm{a}}^{3}+{\mathrm{b}}^{3}+{\mathrm{c}}^{3}-3\mathrm{abc}=18$

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

**abc = 6.**