Imagination is more important than knowledge... Albert Einstein

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

Problem Num : 11 Type: Understanding Section:Number  Theme: Adjustment# : 21 Difficulty: 1
Category	Factors and multiple
Analysis	Divisible by 1 through 7 ? Multiple of 1 through 7?
Solution/Answer	The number should have 1 through 7 as a factor. so.. 2*3*2*5*7*p so.. What is the smallest number then? Answer: A

---

Problem Num : 12 Type: Section:Number  Theme:None Adjustment# : 22 Difficulty: 1
Category	Factors and multiple
Analysis	Pick a number
Solution/Answer	Answer: A

---

Problem Num : 13 Type: Mathematical Writing Section:Number  Theme:None Adjustment# : 22 Difficulty: 600 level
Category	Factors and multiple
Analysis	d is divisible by 25 d= 25k
Solution/Answer	(1) d=25p =5*5p (2) d= 40q=2*2*2*5q If we take both conditions, d is a multiple of 2*2*2*5*5. so.. Answer: E

---

Problem Num : 14 Type: Section:Number  Theme:None Adjustment# : 23 Difficulty: 1
Category	Factors and multiple
Analysis
Solution/Answer	Answer: B

---

Problem Num : 15 Type: Section:Number  Theme:None Adjustment# : 24 Difficulty: 1
Category	Factors and multiple
Analysis	12, 30, 21.. (1)and (2) are equivalent
Solution/Answer	Answer: E

---

Problem Num : 16 Type: Understanding Section:Number  Theme:None Adjustment# : 25 Difficulty: 2
Category	Factors and multiple
Analysis	Two consecutive number is divisible by 2 Three consecutive number is divisible by 3.
Solution/Answer	Answer: E

---

Problem Num : 17 Type: Section:Number  Theme:None Adjustment# : 26 Difficulty: 1
Category	Factors and multiple
Analysis
Solution/Answer	Answer: A

---

Problem Num : 18 Type: Section:Number  Theme:None Adjustment# : 26 Difficulty: 1
Category	Factors and multiple
Analysis	We can express the three consecutive integers as n, n+1, n+2
Solution/Answer	Answer: E

---

Problem Num : 19 Type: Section:Number  Theme:None Adjustment# : 30 Difficulty: 1
Category	Factors and multiple
Analysis
Solution/Answer	Answer: C

---

Problem Num : 20 Type: Understanding Section:Number  Theme:None Adjustment# : 31 Difficulty: 600 level
Category	Factors and multiple
Analysis	147000=3*7*7*2^3*5^3 what's your target to find?
Solution/Answer	This is the same question of finding #of factor 7. 147000=3*7*7*2^3*5^3 so.. There are two 7's. Discussion) How about 147000000? Answer: D

---

Array ( [0] => 4649 [1] => 4695 [2] => 6110 [3] => 4970 [4] => 4883 [5] => 4839 [6] => 5019 [7] => 4844 [8] => 4908 [9] => 4833 ) 251  2  3