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To find the values of c and k such that the number 3c2933k is divisible by both 5 and 11: Divisibility by 5: The last digit k must be 0 or 5. Divisibility by 11: The alternating sum and difference of the digits must be divisible by 11. Case-1, k = 0 Alternating sum S=3-c+2-9+3-3+0=-4-c For divisibility by 11=-4-c=0 (mod 11) c=7 Case-2: k=5 Alternating sum: S=3-c+2-9+3-3+5=5-c-4 For divisibility by 11=1-c=0 (mod 11) c=1 Final Solution: For k = 0 and c = 7, S = 3 (not divisible by 11). For k = 5 and c = 1, S = 0 (divisible by 11). Thus, the correct combination is c = 1 and k = 5. then now c+k =1+5 =6.
Which of the following is the second sentence of the passage?
Which of the following is the sixth (last) sentence of the passage?
1. We must recognize that politics
P. about the careers and fortunes
Q. citizens and not
R. and elections are about
S. the l...
Which of the following would be the FIFTH statement after rearrangement?
Which of the following is the first sentence of the passage?
Which of the following is the fifth sentence of the passage?
Out-of-the-box record
P: political and economical growth
Q: would bring dividends
R: in peace of mind, savings and
The board members (1)/ has agreed to (2)/ implement the new policies (3)/ from next month. (4)/ No error (5)
Which of the following is the second sentence of the paragraph?
Which of the following would be the FOURTH statement after rearrangement?