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Q #16
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Directions: Read the following information to answer the question.

A red light flashes 3 times per minute and a green light flashes 5 times in two minutes both lights flashing at regular intervals. If the lights start flashing at the same time, how many times do they flash together in the first hour (excluding both the starting and terminating points of the interval)?

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Q #17
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Directions: Read the following information to answer the question.

Which of the following is the smallest positive integer which when divided by 17 gives a remainder of 7 and when divided by 13 gives a remainder of 9?

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A number divisible by 17 giving a remainder of 7 is of the form of 17k +7. This when divided by 13 gives a remainder of 9, i.e., 17 + 7 – 9 is exactly divisible by 13. (17K-2)/13 gives zero remainder or (4K-2)/13 gives zero remainder. The smallest value of k is 7. Hence, smallest number is 17 x 7 + 7 = 126.

Q #18
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Directions: Read the following information to answer the question.

A number when divided by a certain divisor leaves a remainder of 11 and three times the number is divided by the same divisor leaves a remainder of 9 then find the division when five times the number is divided by the same divisor.

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Let N and d be the number and divisor respectively then 3N when divided by d must leave a remainder of 3 x 11 = 33 but given remainder is 9. So 33 when divided by d leaves a remainder 9. So d = 24 or 12 So required answer = remainder when 5 x 11 is divided by 24 or 12, which is 7 in either case

Q #19
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Directions: Read the following information to answer the question.

What is the minimum number of square tiles required to floor a room 41.8 ft X 22.8 ft?

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HCF of 41.8 and 22.8 is 3.8 Number of tiles required = x = 11 x 6 = 66

Q #20
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Directions: Read the following information to answer the question.

Mr. X has forgotten his friend’s seven digit telephone number. He only remembers that the last three digits of the number are either 903 or 309. If Mr. X were to use the trial and error method to call his friend, what is the total number of combinations he will have to try to be certain of succeeding?

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