To find the largest sum of rupees that cannot be paid using any number of coins of denominations Rs.4, Rs.8, Rs.13, and Rs.18, we can use the concept of the Frobenius coin problem.

The Frobenius coin problem states that for any two positive integers a and b that are coprime (i.e., their greatest common divisor is 1), the largest amount that cannot be paid using coins of denominations a and b is ab - a - b.

In this case, the denominations are 4, 8, 13, and 18. To find the largest sum that cannot be paid, we need to calculate the value of ab - a - b.

Let's calculate it:

ab - a - b = 4 * 8 - 4 - 8 = 32 - 4 - 8 = 20

Therefore, the largest sum of rupees that cannot be paid using coins of denominations Rs.4, Rs.8, Rs.13, and Rs.18 is 20.

Now, we need to find the sum of the digits of 20.

Sum of digits of 20 = 2 + 0 = 2

Therefore, the sum of the digits of 'X' is 2.

Hence, the correct answer is option A) 2.

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• Wrong explanation

To answer this question, let's go through each option and analyze whether it is correct or incorrect:

Option A) CDBEA Option B) BCDEA Option C) CDEBA - This option is correct because it accurately represents the statements provided. The statements in the question are arranged in the order C, D, E, B, A. Option D) CADEB - This option is incorrect because it does not follow the order of the statements in the question.

The correct answer is C. This option is correct because it accurately represents the order of the statements provided.

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• Wrong explanation

To find out when Kamla and Bimla would fast together again, we need to determine if there is a common day when both of their fasting patterns align.

Let's analyze their fasting patterns:

Kamla fasts on the 1st, 3rd, 6th, 10th, 15th... day of the year 2010. Bimla fasts on the 1st, 4th, 8th, 13th, 19th... day of the year 2010.

We can observe that both Kamla and Bimla fast on the 1st day of the year. However, after that, their fasting patterns do not align. Kamla fasts on the 3rd day, while Bimla fasts on the 4th day. The pattern continues in a similar manner where they fast on different days.

Therefore, there is no common day when both Kamla and Bimla would fast together again. Hence, the correct answer is option D - Never.

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