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There are N students in a class. When the students are distributed int
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24 Mar 2019, 09:53
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36% (02:17) correct 64% (02:51) wrong based on 28 sessions
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There are N students in a class. When the students are distributed into groups that contain \(4A\) number of students each, \(3\) students are left without a group. When the students are distributed into groups that contain \(\frac{A}{3}\) number of students each, no students are left without a group. Which of the following statements is correct? I) If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). II) If the students are distributed into groups that contain \(3\) students each, no students are left without a group III) If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group A) I only B) II only C) III only D) I and II only E) II and III only
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There are N students in a class. When the students are distributed int
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25 Mar 2019, 21:34
There are N students in a class. When the students are distributed into groups that contain \(\frac{A}{3}\) number of students each, no students are left without a group. This means A is a multiple of 3When the students are distributed into groups that contain \(4A\) number of students each, \(3\) students are left without a group. This means N=4Ax+3, and since A is multiple of 3, N is also a multiple of 3Which of the following statements is correct? I) If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). N=4Ax+3... now let A=3, so A+1=3+1=4 and N=4*3x+3=12x+3, then N divided by A+1 means 12x+3 divided by 4 will leave a remainder 3 . Hence need not be true. II) If the students are distributed into groups that contain \(3\) students each, no students are left without a group Correct we know N=4Ax+3 and Ax=3, so N=12+3=15.. 15 divided by 3 does not leave any remainder TRUE III) If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group Now, 4A=12, so N=12x+3, so whenever we divide the N students in groups of 12, 3 will be left. Hence false Only option II is correctA) I only B) II onlyC) III only D) I and II only E) II and III only
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Re: There are N students in a class. When the students are distributed int
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26 Mar 2019, 01:37
Using the info given , N=4A+3 and A/3 gives equal groups , let so let A= 6 and N= 27 so case 1: If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). 6+1 ; 7 ; when 7/4 = 3 is remainder and when 7/3 ; remainder is 1 so not true case 2: If the students are distributed into groups that contain \(3\) students each, no students are left without a group N=27 ; yes no student is left w/o group case 3: If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group N= 27 divided by 12 ; 3 remainder ; not true IMO B PriyankaPalit7 wrote: There are N students in a class. When the students are distributed into groups that contain \(4A\) number of students each, \(3\) students are left without a group. When the students are distributed into groups that contain \(\frac{A}{3}\) number of students each, no students are left without a group. Which of the following statements is correct?
I) If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). II) If the students are distributed into groups that contain \(3\) students each, no students are left without a group III) If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group
A) I only B) II only C) III only D) I and II only E) II and III only
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Re: There are N students in a class. When the students are distributed int
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13 Apr 2019, 07:02
chetan2u wrote: There are N students in a class. When the students are distributed into groups that contain \(\frac{A}{3}\) number of students each, no students are left without a group. This means A is a multiple of 3 When the students are distributed into groups that contain \(4A\) number of students each, \(3\) students are left without a group. This means N=4A+3, and since A is multiple of 3, N is also a multiple of 3
Which of the following statements is correct?
I) If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). N=4A+3... now let A=3, so A+1=3+1=4 and N=15, then N divided by A+1 means 15 divided by 4 will leave a remainder 3 . Hence need not be true.
II) If the students are distributed into groups that contain \(3\) students each, no students are left without a group Correct we knoe N=4A+3 and A=3x, so N=12x+3=3(4x+1).. TRUE
III) If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group Now, N=12x+3, so whenever we divide the N students in groups of 12, 3 will be left. Hence false
Only option II is correct
A) I only B) II only C) III only D) I and II only E) II and III only Hi, I fail to understand how N=4A+3, students are divided into groups of 4A, so it should be N=4A * y(number of groups) + 3. This additional factor of "y" will change the equation and the way we are deducing things. Please correct me if i am wrong. TIA.
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Re: There are N students in a class. When the students are distributed int
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13 Apr 2019, 07:12
neha283 wrote: chetan2u wrote: There are N students in a class. When the students are distributed into groups that contain \(\frac{A}{3}\) number of students each, no students are left without a group. This means A is a multiple of 3 When the students are distributed into groups that contain \(4A\) number of students each, \(3\) students are left without a group. This means N=4A+3, and since A is multiple of 3, N is also a multiple of 3
Which of the following statements is correct?
I) If the students are distributed into groups that contain \(A+1\) students each, the number of students that are left without a group can be \(2\). N=4A+3... now let A=3, so A+1=3+1=4 and N=15, then N divided by A+1 means 15 divided by 4 will leave a remainder 3 . Hence need not be true.
II) If the students are distributed into groups that contain \(3\) students each, no students are left without a group Correct we knoe N=4A+3 and A=3x, so N=12x+3=3(4x+1).. TRUE
III) If the students are distributed into groups that contain \(12\) students each, 9 students are left without a group Now, N=12x+3, so whenever we divide the N students in groups of 12, 3 will be left. Hence false
Only option II is correct
A) I only B) II only C) III only D) I and II only E) II and III only Hi, I fail to understand how N=4A+3, students are divided into groups of 4A, so it should be N=4A * y(number of groups) + 3. This additional factor of "y" will change the equation and the way we are deducing things. Please correct me if i am wrong. TIA. Hi, You are correct on the observation. However the answer will not change. I will change the related portion accordingly. Thanks
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Re: There are N students in a class. When the students are distributed int
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