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# For which of the following sets of numbers is the product of the three

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Math Expert
Joined: 02 Sep 2009
Posts: 53734
For which of the following sets of numbers is the product of the three  [#permalink]

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25 Feb 2019, 00:09
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:17) correct 20% (00:55) wrong based on 20 sessions

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For which of the following sets of numbers is the product of the three numbers less than each member of the set?

I. $$\frac{1}{4}, \frac{2}{3}, \frac{3}{4}$$

II. $$- \frac{1}{2}, -1 , 4$$

III. $$-2, 3, 5$$

(A) I only

(B) II only

(C) III only

(D) I and III

(E) II and III

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For which of the following sets of numbers is the product of the three  [#permalink]

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25 Feb 2019, 00:53
1
Bunuel wrote:
For which of the following sets of numbers is the product of the three numbers less than each member of the set?

I. $$\frac{1}{4}, \frac{2}{3}, \frac{3}{4}$$

II. $$- \frac{1}{2}, -1 , 4$$

III. $$-2, 3, 5$$

(A) I only

(B) II only

(C) III only

(D) I and III

(E) II and III

need to determine ; a*b*c< individual value of a;b;c

so from 1
$$\frac{1}{4}, \frac{2}{3}, \frac{3}{4}$$
a*b*c; 1/8
which is less than $$\frac{1}{4}, \frac{2}{3}, \frac{3}{4}$$
sufficeint

2.$$- \frac{1}{2}, -1 , 4$$
product ; 2
not true

3. $$-2, 3, 5$$
product ; -30
true
IMO D
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For which of the following sets of numbers is the product of the three   [#permalink] 25 Feb 2019, 00:53
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