If x is the least of three consecutive even integers, what is the prod

Question

If x is the least of three consecutive even integers, what is the product of these three integers in terms of x?

A.  x^3 + 6x^2 + 8x

B.  x^3 – 3x^2 + 2x

C.  x^3 – 3x^2 - 2x

D.  x^3 – x^2

E.  x^3 – x

danlew · Answer

Answer is A.
Assuming numbers consecutive even integers 2, 4 and 6, we get x = 2

so, the product should be 2*4*6=48

Substituting x=2 in answer choices, only A gives us 48, hence the answer

sashiim20 · Answer

The three consecutive even integers would be  = x , (x + 2), (x + 4)

Product of these 3 integers would be;

x(x+2)(x+4)

x(x^2+ 2x + 4x + 8)

x(x^2 + 6x + 8)

x^3 + 6x^2 + 8x  . Answer (A) ...

Luckisnoexcuse · Answer

Lowest is x hence x, x+2, x+4

On multiplication we will get  x^3 + 6x^2 + 8x

Hence A

shashankism · Answer

Let x be the least even integer of the consecutive integers.
So, the other even integers will be (x+2) and ( x+4)

The product of the integers = x(x+2)(x+4) = (x^2+2x) (x+4) = (x^3 + 6x^2 + 8x)

Answer A

Abhishek009 · Answer

Check using the least even integers - 2 , 4 & 6 , product is 48

(A) 8 + 6*4 + 8*2 = 48

We don't need to go any further, just plugin in three numbers and checking option (A) confirms the answer.....

sonikavadhera · Answer

three consecutive even integers: x, x+2, x+4

product: x (x^2 + 6x + 8)

IMO A

JeffTargetTestPrep · Answer

The smallest even integer is x, the next consecutive even integer is (x + 2), and the third consecutive even integer is (x + 4). We can express the product of our 3 integers as:
 
x(x + 2)(x + 4) = x(x^2 + 6x + 8) = x^3 + 6x^2 + 8x
 
Answer: A

ydmuley · Answer

Based on given information we have  x, x+2, x+4  and we need to find the product of these numbers.

(x)(x+2)(x+4)

(x)(x^2+4x+2x+8)

(x)(x^2+6x+8)

x^3 + 6x^2 + 8x

Hence, Answer is A

dineshril · Answer

Three consecutive EVEN Integers are 2n, 2n+2 & 2n+4
As per the given info the smallest even integer is x . 
Therefor 2n=x, 2n+2=x+2 & 2n+4=x+4

Product of x, x+2 & x+4
= x*(x+2)*(x+4)
= x*(x^2+6x+8)
= x^3+6x^2+8x

Ans A

Rgds
Dinesh

suhrt · Answer

Speed tip
 you don't have to multiply x(x+2)(x+3), all options have a negative sign except A

AkshdeepS · Answer

Say 3 consecutive even integers are x, x+2, x+4

Multiply them,

x*(x+2)*(x+4)

(x^2+2x)*(x+4)

x^3 + 6x^2 + 8x

(A)

gracie · Answer

note the abundance of minus signs in B-E
if 2*4*6=48,
only A>8

If x is the least of three consecutive even integers, what is the prod

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If x is the least of three consecutive even integers, what is the prod

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards