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Updated on: 17 Dec 2024, 02:50
Originally posted by Sajjad1994 on 16 Feb 2021, 07:30.
Last edited by Bunuel on 17 Dec 2024, 02:50, edited 3 times in total.
Last edited by Bunuel on 17 Dec 2024, 02:50, edited 3 times in total.
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y: 567
z: 2187
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (02:10) correct
29%
(02:20)
wrong
based on 461
sessions
History
Date
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Not Attempted Yet
For integers y and z, z > y but z is not divisible by y. From the table below, select the values of z and y that satisfy this situation.
| y | z | |
| 3 | ||
| 9 | ||
| 81 | ||
| 567 | ||
| 2187 | ||
| 15309 |
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Official Answer
y: 567
z: 2187
16 Feb 2021, 09:02
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The first 3 numbers cannot be the answer, since 9 is a multiple of 3 and 81 is a multiple of both 3 and 9. Looking at the units digit of 567 and 81, we quickly confirm that 81 x 7 = 567 (we needed to multiply 81 by a number ending in 7 to obtain a number ending in 7).
Following the same logic, we look at the units digit of 2187. How can we multiply 567 by an integer to have 2187 as a result? Only if we multiplied by 11 would we have a number ending in 7 again, but that's clearly not the case here.
So looking again closely at this pair of numbers, 567 and 2187, we quickly confirm that 3(567) < 2187 < 4(567). This means that 2187 is not divisible by 567.
Answers: y = 567 and z = 2187.
Following the same logic, we look at the units digit of 2187. How can we multiply 567 by an integer to have 2187 as a result? Only if we multiplied by 11 would we have a number ending in 7 again, but that's clearly not the case here.
So looking again closely at this pair of numbers, 567 and 2187, we quickly confirm that 3(567) < 2187 < 4(567). This means that 2187 is not divisible by 567.
Answers: y = 567 and z = 2187.
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18 Feb 2021, 02:59
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81 = \(3^4\) - Divisible by 3 & 9 Both....Eliminate
567 = \(3^4\)*7 - Divisible by 3, 9, 81....Eliminate
2187 = \(3^7\) - Divisible by 3, 9, 81. But not by 567....Keep it
15309 = \(3^7\)*7 - Divisible by 3, 9, 81, 567, 2187....Eliminate
Since, z > y but z is not divisible by y
z = 2187
y = 567
567 = \(3^4\)*7 - Divisible by 3, 9, 81....Eliminate
2187 = \(3^7\) - Divisible by 3, 9, 81. But not by 567....Keep it
15309 = \(3^7\)*7 - Divisible by 3, 9, 81, 567, 2187....Eliminate
Since, z > y but z is not divisible by y
z = 2187
y = 567
