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Q.

Your local radio station is having their yearly music player and concert ticket giveaway. For one minute every Question Image caller will win a music player and every Question Image the caller will win concert tickets. You were just the first caller to win both the music player and the concert tickets! What number caller were you?


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept-According to the question asked in the question, I need to find the number I called when my local radio station presented me with an annual music player and concert tickets. For 1 minute, 1 in 5 callers win a music player and 1 in 7 callers win a concert ticket. I was  the first caller to win both a music player and a concert ticket! As mentioned in the question, in order for the 5th caller to win the music player and for each 7th caller to win the concert ticket, find the multiplication of 5 and 7 and find the first number of multiplications obtained You need to consider.
The question states that the same person  won both a music player and a concert ticket, stating that he was the first person to receive both  gifts. With this information, we can say that the answer is his lcm for both  caller numbers, because the least common multiple is the smallest number that is divisible by both  numbers. The question indicates that the person was the first  to receive both awards, so find the lowest number.
 Since 5 and 7 are prime numbers, the lcm of these two numbers is the multiplication of the two numbers.
Multiplying 5 and 7 = 35
Hence, the correct option is 1.
 
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