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If x = (y)(y + 1) and y is a prime number less than 11, which of the f

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If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?

a) 5x
b) 11x
c) 13x
d) 23x
e) 57x
[Reveal] Spoiler: OA

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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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[quote="duahsolo"]If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?

Given y is a prime number less than 7
so y can be 2 3 5 7
x=y*(y+1)
so x can be 6 12 30 56

So from options
A. 5x can be (5*6)
B. 11x can be (11*12)
C. 13x can be (13*12)
D. 23x cannot be
E. 57x can be (56*57)
So answer option D.

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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 17 Aug 2016, 21:36
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Given y is a prime number less than 11
possible values of y are 2 3 5 7
given, x=y*(y+1)
if y = 2 x=2*3=6
if y = 3 x=3*4=12
if y = 5 x=5*6=30
if y = 7 x=7*8=56

so possible values of x are 6,12,30,56

So from options
A. 5x can be (5*6)
B. 11x can be (11*12)
C. 13x can be (13*12)
D. 23x cannot be
E. 57x can be (56*57)
So answer option D.

I hope it helps.

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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 29 Nov 2016, 15:53
x = (y)(y+1)

y=2 --> x=6
y=3 --> x=12
y=5 --> x=30
y=7 --> x=56

A. 5(6) - ELIMINATE
B. 11(12) - ELIMINATE
C. 13(12) - ELIMINATE
D. 23(#) --> CORRECT!! We don't have a value of x that is a consecutive integer with 23
E. 57(56) - ELIMINATE

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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 11 Sep 2017, 03:29
Ans is D::23x


x= y(y+1) , y is prime nr <11 => 2,3,5,7 only can be values of y
x can be
2x3
3x4
5x6
7x8

A) 5x =>5x2x3 =6 => 5x6 consecutive
B) 11x=> 11x3x4=12 => 11x12 consecutive
C) 13x=> 13x3x4=12 => 13x12 or 12x13 consecutive
D) 23x=>23x3x4 =12 and 5x6=30 not possible
E). 57x=> 57x8x7 =56=> 56x57 consecutive

Clearly all values of x from Ato C and E are either 1 less of option or 1 more of option => Except the option D
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 14 Sep 2017, 10:38
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duahsolo wrote:
If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?

a) 5x
b) 11x
c) 13x
d) 23x
e) 57x


Since x = y(y + 1) and y is a prime number less than 11, y = 2, 3, 5, or 7 and x = 6, 12, 30, or 56, respectively. As we can see, 5x, 11x, 13x, and 57x all can be the product of two consecutive integers. The only option that can’t is 23x since x is neither 22 nor 24.

Answer: D
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 07 Oct 2017, 13:43
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duahsolo wrote:
If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?

a) 5x
b) 11x
c) 13x
d) 23x
e) 57x


Since y is a prime number less than 11, there are only 4 possible vales for y.
y COULD equal 2, 3, 5 or 7

This also means there are only 4 possible vales for x.

x = (y)(y + 1)

If y = 2, then x = (2)(2 + 1) = 6
If y = 3, then x = (3)(3 + 1) = 12
If y = 5, then x = (5)(5 + 1) = 30
If y = 7, then x = (7)(7 + 1) = 56

Now let's check each answer choice...
a) Can 5x be the product of 2 consecutive integers?
Yes. When x = 6, then 5x = 5(6) = 30
So, 5x CAN BE the product of 2 consecutive integers (5 and 6)
ELIMINATE A

b) Can 11x be the product of 2 consecutive integers?
Yes. When x = 12, then 11x = 11(12)
So, 11x CAN BE the product of 2 consecutive integers (11 and 12)
ELIMINATE B

c) 13x
When x = 12, then 13x = 13(12)
So, clearly, 13x CAN BE the product of 2 consecutive integers (12 and 13)
ELIMINATE C

e) 57x
When x = 56, then 57x = 57(56)
So, clearly, 57x CAN BE the product of 2 consecutive integers (56 and 57)
ELIMINATE E

By the process of elimination, the correct answer is D

Cheers,
Brent
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 07 Oct 2017, 19:00
GMATPrepNow What if y less than 13 would it be valid to eliminate D?
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 07 Oct 2017, 19:16
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NandishSS wrote:
GMATPrepNow What if y less than 13 would it be valid to eliminate D?


No it wouldn't.

If y = 11, then x = (11)(11 + 1) = 132

D) 23x
So, 23x = (23)(132) = 3036
3036 cannot be expressed as the product of 2 consecutive integers.
So, even if we allowed y to be 11, we still couldn't eliminate D

Cheers,
Brent
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f [#permalink]

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New post 08 Oct 2017, 01:23
@Brent Thanks a lot Now I got it!!! :-)
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Re: If x = (y)(y + 1) and y is a prime number less than 11, which of the f   [#permalink] 08 Oct 2017, 01:23
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