Sumukh19 wrote:
If n=13x15x17x19
Which number, if changed, would least affect the value of n?
A. 13
B. 15
C. 17
D. 19
E. None of the above
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This question seems a little bit ambiguous, since we're not told anything about the manner in which a number is changed.
That said let's add 1 to each of the four values, and see what effect the change has on the value of n.
Add 1 to 13 to get: n = (13 + 1)(15)(17)(19)
Expand to get: n = (13)(15)(17)(19) + (1)(15)(17)(19)
In this case, the value of n increases by
(1)(15)(17)(19)Add 1 to 15 to get: n = (13)(15 + 1)(17)(19)
Expand to get: n = (13)(15)(17)(19) + (1)(13)(17)(19)
In this case, the value of n increases by
(1)(13)(17)(19)Add 1 to 17 to get: n = (13)(15)(17 + 1)(19)
Expand to get: n = (13)(15)(17)(19) + (1)(13)(15)(19)
In this case, the value of n increases by
(1)(13)(15)(19)Add 1 to 19 to get: n = (13)(15)(17)(19 + 1)
Expand to get: n = (13)(15)(17)(19) + (1)(13)(15)(17)
In this case, the value of n increases by
(1)(13)(15)(17)Among the four products in
red, smallest value is
(1)(13)(15)(17), which means adding 1 to 19 will have the least effect on the value of n.
Answer: D