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In which of the following options, the product of the three numbers is
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27 Aug 2024, 03:23
27 Aug 2024, 03:23
Expert Reply
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Question Stats:
66% (01:43) correct
33% (00:58) wrong based on 6 sessions
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In which of the following options, the product of the three numbers is less than each of the member of the list?
Indicate all the apply
A. 1/3,1/4,3/4
B. -3,4,9
C. -2/3,3,3/4
D. -3,9,-1
Indicate all the apply
A. 1/3,1/4,3/4
B. -3,4,9
C. -2/3,3,3/4
D. -3,9,-1
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Re: In which of the following options, the product of the three numbers is
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29 Aug 2024, 10:57
29 Aug 2024, 10:57
B,C,D
Re: In which of the following options, the product of the three numbers is
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10 Dec 2024, 14:01
10 Dec 2024, 14:01
Expert Reply
We need to check from the options that for which choice the product of the three numbers is less than each of the numbers of the list
(A) The three numbers are $\(\frac{1}{3}=0.33, \frac{1}{4}=0.25 \& \frac{3}{4}=0.75\)$ whereas their product is $\(\frac{1}{3} \times \frac{1}{4} \times \frac{3}{4}=\frac{1}{16}=0.0625\)$ which is clearly less than each of the three numbers
(B) The three numbers are $\(-3,4 \& 9\)$ and their product is $\(-3 \times 4 \times 9=-108\)$ which is clearly less than each of the three numbers $\(-3,4 \& 9\)$
(C) The three numbers are $\(-\frac{2}{3}=-0.666,3 \& \frac{3}{4}=0.75\)$ and their product is $\(-\frac{2}{3} \times 3 \times \frac{3}{4}=-\frac{3}{2}=-1.5\)$ which is less than each of the three given numbers.
(D) The three numbers are $\(-3,9 \&-1\)$, whose product is $\(-3 \times 9 \times-1=27\)$ which is greater than each of the three given numbers.
Hence options (A), (B) \& (C) satisfy the condition.
(A) The three numbers are $\(\frac{1}{3}=0.33, \frac{1}{4}=0.25 \& \frac{3}{4}=0.75\)$ whereas their product is $\(\frac{1}{3} \times \frac{1}{4} \times \frac{3}{4}=\frac{1}{16}=0.0625\)$ which is clearly less than each of the three numbers
(B) The three numbers are $\(-3,4 \& 9\)$ and their product is $\(-3 \times 4 \times 9=-108\)$ which is clearly less than each of the three numbers $\(-3,4 \& 9\)$
(C) The three numbers are $\(-\frac{2}{3}=-0.666,3 \& \frac{3}{4}=0.75\)$ and their product is $\(-\frac{2}{3} \times 3 \times \frac{3}{4}=-\frac{3}{2}=-1.5\)$ which is less than each of the three given numbers.
(D) The three numbers are $\(-3,9 \&-1\)$, whose product is $\(-3 \times 9 \times-1=27\)$ which is greater than each of the three given numbers.
Hence options (A), (B) \& (C) satisfy the condition.
