Number System








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Quiz Begins Here

Q #1
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Directions: Read the following information to answer the question.

How many three-digit numbers are there that are divisible neither by 6 not by 7?

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Q #2
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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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Q #3
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Directions: Read the following information to answer the question.

What is the smallest number with which 200! should be multiplied to make it divisible by 12^100?

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Q #4
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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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Q #5
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Directions: Read the following information to answer the question.

A book having 700 pages . Its pages numbered from 1 to 700. If we count all the 3’s in the page numbers, how many 3’s will be there?

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Solution: From 1 to 100, we have number like 3, 13, 23, 33 etc. which are 10 in number. Then number 30 to 39 have one 3 extra each giving 10 threes. So, upto hundred, we have 10 + 10 = 20 threes. Since we have 700 pages we have number of 3’s as 7x20 = 140 Then all the 100 numbers from 300 to 399 have one 3 extra each giving a hundred 3’s So totally, 240 threes. Choice (1)