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On a certain bus, one-fourth of the children are boys that are wearing 01 Nov 2016, 04:39
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91% (01:28) correct 9% (01:55) wrong based on 164 sessions

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On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
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E
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On a certain bus, one-fourth of the children are boys that are wearing 01 Nov 2016, 06:07
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Bunuel
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
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Let No. of Children = x

Boys wearing sneakers = x/4
Boys wearing sneakers = x/3

i.e. Total number of children must be divisible by 4 as well as by 3
i.e. Total number of children must be divisible by LCM of 4 & 3 i.e. 12

Only Option E- 36 satisfies the requirement hence

Answer: Option E
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On a certain bus, one-fourth of the children are boys that are wearing 01 Nov 2016, 07:23
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Bunuel
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
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THe highlighted parts suggest that the total number of children must be divisible by the LCM of 3 & 4 , ie 12

Thus among the given options only (E) is possible choice...
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On a certain bus, one-fourth of the children are boys that are wearing 02 Nov 2016, 06:08
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Bunuel
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
Show more


IMO E
let the number of children on the bus be x
One-fourth of the children are boys that are wearing sneakers= x/4
One-third of the children on the bus are girls that are wearing sneakers= x/3
Total number of children wearing sneakers= 7x/12
Therefore the required answer should be a multiple of 12
only E is multiple of 12.
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On a certain bus, one-fourth of the children are boys that are wearing 04 Nov 2016, 09:36
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Bunuel
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
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We can let the total children = c.

Since one-fourth of the children are boys that are wearing sneakers and one-third of the children on the bus are girls that are wearing sneakers, we can say the following:

(1/4)c = number of boys wearing sneakers

(1/3)c = number of girls wearing sneakers

Using the information above, we see that c must be divisible by 3 and 4 and thus by 12. Looking at our answer choices, the only one that is a multiple of 12 is 36.

Answer: E
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On a certain bus, one-fourth of the children are boys that are wearing 29 Dec 2016, 03:35
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In this case always think about the possible LCM of the denominator of the fraction.
the number of boys here is 1/4
the number of girls is 1/3
so the LCM of 4 and 3 is 12
now we should find the number from the options that is divided by 12.
Here only 36 is divisible by 12 so
Option E is correct answer.
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On a certain bus, one-fourth of the children are boys that are wearing 29 Dec 2016, 11:29
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Bunuel
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?

A. 11
B. 16
C. 29
D. 30
E. 36
Show more

Let the total number of children be 12 ( LCM from hihglighted parts )

Thus, the possible number of children on the bus must be a multiple of 12.

Check the options except (E) 36 , none is a multiple of 12....

Hence, the correct answer must be (E) 12
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On a certain bus, one-fourth of the children are boys that are wearing 23 Aug 2020, 08:31
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