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In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer A) Only I is sufficient. B) Only II is sufficient. C) Both the statements I and II together is necessary. D) Either Statement I or Statement II alone is sufficient. E) Both the statements I and II together is not sufficient Read the instructions carefully Y is a 5 digit natural number. Find whether it is divisible by 11 or not. (1) Sum of digits at odd positions is 15 (2) Sum of digits at even positions is 4 OPTIONS A B C D E

Question

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer A) Only I is sufficient. B) Only II is sufficient. C) Both the statements I and II together is necessary. D) Either Statement I or Statement II alone is sufficient. E) Both the statements I and II together is not sufficient

Read the instructions carefully Y is a 5 digit natural number. Find whether it is divisible by 11 or not. (1) Sum of digits at odd positions is 15 (2) Sum of digits at even positions is 4

OPTIONS A

B

C

D

E

...expand
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Solution

The divisibility rule for 11 states that a number is divisible by 11 if the difference between the sum of the digits at odd positions and the sum of the digits at even positions is either 0 or a number divisible by 11.

Statement (1) gives us the sum of digits at odd positions is 15. Statement (2) gives us the sum of digits at even positions is 4.

Subtracting the sum of digits at even positions from the sum of digits at odd positions gives us 15 - 4 = 11.

Since 11 is divisible by 11, we can conclude that the number Y is divisible by 11.

Therefore, both statements I and II together are necessary to answer the question. So, the answer is C) Both the statements I and II together is necessary.

This problem has been solved

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