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Bunuel
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Bunuel
Which of the following can be divided by all integers between 1 and 9, inclusive?

A. 740
B. 1,260
C. 3,840
D. 7,560
E. 8,640

(A) \(740 = 2^2 * 5^1 * 37^1\) ( Not divisible by 3, 6 , 7 & 8 )

(B) \(1260 = 2^2 * 3^2 * 5^1 * 7^1\) ( Not divisible by 8 )

(C) \(3840 = 2^8 * 3^1 * 5^1\) ( Not divisible by 7 )

(D) \(7560 = 2^3 * 3^3 * 5^1 * 7^1\)

(E) \(8640 = 2^6 * 3^3 * 5^1\) ( Not divisible by 7 )

Hence, answer will definitely be (D) 7
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Numbers can be written as:

4 = 2*2
6= 2*3
8=2*2*2
9=3*3

So, the number can be 2*3*4*5*6*7*8*9.
Instead, the number will be 2*3*2*5*1*7*2*3 = 2520 will be the smallest multiple.

Now, Try multiples of 2520. Option(D) is a multiple of 2520.
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