We know the following:

Century Code:

1700s = 4

1800s = 2

1900s = 0

2000s = 6

2100s = 4

2200s = 2

2300s = 0

The Month Code:

January = 0

February = 3

March = 3

April = 6

May = 1

June = 4

July = 6

August = 2

September = 5

October = 0

November = 3

December = 5

Day Code:

0 = Sunday

1 = Monday

2 = Tuesday

3 = Wednesday

4 = Thursday

5 = Friday

6 = Saturday

Find Year Code of 2016:

Code =(YY + (YY division 4)) mod 7

=(16 + (16 division 4)) mod 7

=(16 + 4) mod 7

=20 mode 7

On dividing 20 by 7 we get remainder 6.

So, 6 is the year code of 2016.

“Mod” means to divide the number and keep only the remainder.

To find the day we have formula

=(Year Code + Month Code + Century Code + Date Number – Leap Year Code) mod 7

=(6 + 5 + 6 + 20 – 0) mod 7

=37 mode 7 =2 = Tuesday

So, day of the week of 20 December 2016 =Tuesday

Hence, option A is the correct answer.

Hence, option B is the correct answer.

Ratio of number of coins = 11 : 9 : 7

Ratio of their values = 11 : 9/2 : 7/4 = 44 : 18 : 7

Sum of their ratios = 44 + 18 + 7 = 69

∴ Value of 1 rupee coins = (44/69) × 345 = Rs. 220

Number of 1 rupee coins = 220

Option C is correct.

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