Imagination is more important than knowledge... Albert Einstein

                                                                                   Guess is more important than calculation --- Knowhowacademy.com

Problem Num : 1 Type: Understanding Section:Number  Theme:Use a number Adjustment# : 1 Difficulty: 500 level
Category	Remainder
Analysis	It works for any prime number greater than 3!!
Solution/Answer	I will use the prime number 5. 5^2=25 so that we can see the remainder is 1 because 25=12*2+1. Answer: B

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Problem Num : 2 Type: Understanding Section:Number  Theme:Guess Adjustment# : 2 Difficulty: 600 level
Category	Remainder
Analysis	It's like a sequence problem. See the position of w. r,g,w,b,y, r,g,w,b,y, r
Solution/Answer	We can express the the position of w as a number 5k+3 3, 8, 13, 18,... Answer: 23

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Problem Num : 3 Type: Mathematical Writing Section:Number  Theme:Use a number Adjustment# : 4 Difficulty: 600 level
Category	Remainder
Analysis	k=12q+3 or use any number for k such as 12
Solution/Answer	Why don't u plug in the k into each statement? (1)2k=2(12q+3)=12*2q+6 (2)6k=6(12q+3)=12*6q+18 (3)4k+6=4(12q+3)+6=12*4q+18 Answer: E

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Problem Num : 4 Type: Mathematical Writing Section:Number  Theme:Use a number Adjustment# : 4 Difficulty: 500 level
Category	Remainder
Analysis	What is the tens digit of 237? What is the remainder when u divide 237 by 100? What is the remainder when u divide 237 by 110?
Solution/Answer	(1)the remainder show the tens digit of inger x (2)the remainder can't show the tens digit of inger x Answer: A

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Problem Num : 5 Type: Understanding Section:Number  Theme:None Adjustment# : 6 Difficulty: 600 level
Category	Remainder
Analysis	The remainder is always less than the divider 7.
Solution/Answer	The remainders are less than 7. (1) The range only tells u that the difference between biggest and smallest. (2) If the seven numbers are consecutive, the remainder should be 0,1,2,3,4,5,6 so that we can find the sum. Answer: B

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Problem Num : 6 Type: Mathematical Writing Section:Number  Theme:None Adjustment# : 10 Difficulty: 800 level
Category	Remainder
Analysis	X can be expressed as x=y*q+9 (y>9)
Solution/Answer	I will use the property of integer and y>9 to solve the question. x/y= q+9/y = 96.12 Here, 9/y is less than 1 so that 9/y=.12 Therefore, y =9/.12 =75 Answer: B

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Array ( [0] => 4641 [1] => 4705 [2] => 6198 [3] => 5010 [4] => 4946 [5] => 4729 ) 6