Question

Kate was born on Saturday, 22nd March 1982. On what day of the week was she 14 years 7 month and 8 days of age ?

• A. Sunday
• B. Tuesday
• C. Wednesday
• D. Monday

Answer 1

The correct option is D Monday

One normal year has $365$ Days i.e $52$ weeks and $1$ day extra.

So, if we go $14$ years ahead from 1982, we will reach to 1996. In this duration, we will have $4$ leaps years and a leap year gives us $2$ Extra days.

So, calculating the extra days:

$10\times 1+4\times 2=18$ and $18$ mod $7$ $=4$

So, on 22nd March 1986, we will get a (Saturday + 4 days) Wednesday,

Plus additional $7$ months will constitute:

22 nd April $\to$ $31$ days

22 nd May $\to$ $30$ days

22 nd June $\to$ $31$ days

22 nd July $\to$ $30$ days

22 nd August $\to$ $31$ days

22 nd September $\to$ $31$ days

22 nd October $\to$ $30$ days

And 8 days will result in $222$ days,

So, $222$ mod $7$ $=5$

which is $31$ weeks and $5$ Days (Wednesday +5 ) will result in $Monday$