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# If positive integer a is multiplied by integer b and the result is les

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
If positive integer a is multiplied by integer b and the result is les  [#permalink]

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15 Oct 2019, 02:14
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Difficulty:

15% (low)

Question Stats:

89% (00:46) correct 11% (00:15) wrong based on 19 sessions

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If positive integer a is multiplied by integer b and the result is less than a, then it must be true that b is

A. equal to 1
B. greater than 0
C. greater than a
D. greater than 1
E. less than 1

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Director
Joined: 20 Jul 2017
Posts: 925
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: If positive integer a is multiplied by integer b and the result is les  [#permalink]

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15 Oct 2019, 04:09
Bunuel wrote:
If positive integer a is multiplied by integer b and the result is less than a, then it must be true that b is

A. equal to 1
B. greater than 0
C. greater than a
D. greater than 1
E. less than 1

Given, a*b < a
--> ab - a < 0
--> a(b - 1) < 0

Since a is positive --> a > 0, b - 1 has to be less than 0
--> b - 1 < 0
--> b < 1

IMO Option E
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Re: If positive integer a is multiplied by integer b and the result is les  [#permalink]

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15 Oct 2019, 08:17
Bunuel wrote:
If positive integer a is multiplied by integer b and the result is less than a, then it must be true that b is

A. equal to 1
B. greater than 0
C. greater than a
D. greater than 1
E. less than 1

Let a = 2 & b = 1/2

ab = 2*1/2 => 1

Now, Check the options -

(A) Not possible
(B) Not possible
(C) Not possible
(D) Not possible
(E) Possible

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Abhishek....

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Re: If positive integer a is multiplied by integer b and the result is les   [#permalink] 15 Oct 2019, 08:17
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