if 1st January of a non-leap year is Monday then 1st April of the same year will be​

if 1st January of a non-leap year is Monday then 1st April of the same year will be​

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  1. Given : if 1st January of a non-leap year is Monday then 1st April of the same year will be ?

    Solution :

    → 1 jan to 1 April = 30(Jan left days ) + 28(feb since non leap year) + 31(march) + 1(april) = 30 + 28 + 31 + 1 = 90 days .

    then,

    → Odd days = 90 ÷ 7 = 6 remainder .

    therefore,

    → 1st April = 1st Jan + 6 days = Monday + 6 days = Sunday (Ans.)

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  2. Given : 1st January of a year is Monday

    To Find : 1st April of the same year

    Solution:

    1st January of a year is Monday

    1st April of the same year will depend upon leap or non leap year

    Non leap year

    31 days in January

    28 days in February

    31 days in March

    Total Days = 90 to reach 1st April

    Hence 90 = 12 * 7 + 6 or 13 * 7 – 1

    so 1st April will be SUNDAY

    Leap year

    31 days in January

    29 days in February

    31 days in March

    Total Days = 91 to reach 1st April

    Hence 90 = 13 * 7

    so 1st April will be MONDAY

    1st January of a year is Monday then 1st April of the same year is SUNDAY ( no leap year ) and MONDAY ( leap Year )

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