Question

Amrutha makes candles. She follows a particular pattern for the number of candles she makes. She works for more than a day. If Amrutha makes “x” candles on the first day, she makes “x+1” candles on the next day. On the third day she makes as many candles as the sum of the number of candles made in the previous two days. The pattern of the third day is followed for the rest of the days This process can finish any day and “x” is a natural number. How many days does she work for?
1.she makes a total number of candles equal to the highest two digit prime number.
2. she makes 48 candles on the first day

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. Each statement alone is sufficient
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer 1

The correct option is A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

Answer = option (a)

97 is the highest two digit prime number. Since she takes more than one day , she prepares 47 candles on the first day and 48 candles on the second day. This is the only possible combination. Answer can be obtained based on statement (1) alone

Statement (2) does not give us information about the total number of candles made.