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26 Nov 2019, 00:55
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C
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Difficulty:
65%
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Question Stats:
62% (02:17) correct
38%
(02:25)
wrong
based on 296
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The ratio of cats to dogs at a pet store is 11:15. The ratio of dogs to hamsters is 3:11. Let T be the total number of cats, dogs, and hamsters. What is \(\sqrt{T}\)?
(1) \(T<300\)
(2) \(\sqrt{T}\) is an integer.
Are You Up For the Challenge: 700 Level Questions
(1) \(T<300\)
(2) \(\sqrt{T}\) is an integer.
Are You Up For the Challenge: 700 Level Questions
26 Nov 2019, 01:28
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Cats -11x
Dogs - 15x
If we multiply Dog to hamster ratio by 5 we get
Dogs 15
Hams 55
Now we have everything for the equation
11x+15x+55x=81x=T
We need \(\sqrt{81x}\)
1 stm -- X may have several values 1, 2 or 3 -- Not suff
2 stm -- \(\sqrt{T}\) is an integer -- clearly not sufficient
Together only x=1 satisfies \(\sqrt{T}\) is an integer
I will bet on C
Dogs - 15x
If we multiply Dog to hamster ratio by 5 we get
Dogs 15
Hams 55
Now we have everything for the equation
11x+15x+55x=81x=T
We need \(\sqrt{81x}\)
1 stm -- X may have several values 1, 2 or 3 -- Not suff
2 stm -- \(\sqrt{T}\) is an integer -- clearly not sufficient
Together only x=1 satisfies \(\sqrt{T}\) is an integer
I will bet on C
26 Nov 2019, 04:16
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Bunuel
c/d=11a/15a
d/h=3b/11b
d=15a, d=3b, 15a=3b, b=5a
T=11a+15a+11b=11a+15a+55a=81a=[81,162,243,…729…]
(1) \(T<300\) insufic
T=[81,162]
(2) \(\sqrt{T}\) is an integer. insufic
T=[81,729…]
√T=[9,27…]
(1&2) sufic
T=81
√T=9
Ans (C)
