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# Two distinct positive integers P and R have a product of 90. What is

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Two distinct positive integers P and R have a product of 90. What is  [#permalink]

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13 Jan 2019, 22:09
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45% (medium)

Question Stats:

55% (01:21) correct 45% (01:42) wrong based on 36 sessions

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Two distinct positive integers P and R have a product of 90. What is the value of P?

(1) R is a multiple of 9.

(2) P is an even number.
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Re: Two distinct positive integers P and R have a product of 90. What is  [#permalink]

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13 Jan 2019, 22:18
Two distinct positive integers P and R have a product of 90.

From Statement 1 we have R= 9,18,27..90
Value of P can be anything from 1 to 10
Insufficient

From Statement 2 we have P= 2, 6, 10
Insufficient

Combining 1 & 2
We don’t have a single value for P, therefore Insufficient.

Neither of the Statements are sufficient to answer.

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Re: Two distinct positive integers P and R have a product of 90. What is  [#permalink]

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13 Jan 2019, 22:22
amanvermagmat wrote:
Two distinct positive integers P and R have a product of 90. What is the value of P?

(1) R is a multiple of 9.

(2) P is an even number.

IMO E

P*Q = 90
90-> 10 * 9, 2*45

As you can see there are two values for P after combining both the statements.
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Re: Two distinct positive integers P and R have a product of 90. What is  [#permalink]

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14 Jan 2019, 02:27
amanvermagmat wrote:
Two distinct positive integers P and R have a product of 90. What is the value of P?

(1) R is a multiple of 9.

(2) P is an even number.

90= 2*3^2 * 5

#1
R can be 9,45,18... insufficeint

#2:
P = 2,18,10.. in sufficient
combining we wont get 1 value of P
IMO E
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Re: Two distinct positive integers P and R have a product of 90. What is   [#permalink] 14 Jan 2019, 02:27
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