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a, b, c and d are consecutive integers such that the product  [#permalink]

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Difficulty:   95% (hard)

Question Stats: 31% (02:23) correct 69% (02:24) wrong based on 326 sessions

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$$a$$, $$b$$, $$c$$ and $$d$$ are consecutive integers such that the product $$abcd=5040$$, what is the value of $$d$$?

(1) $$d$$ is prime
(2) $$a>b>c>d$$

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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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3
rajathpanta wrote:
a,b,c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d

Question says,

abcd =5040
thus
a,b,c and d could be 7,8,9 and 10 or -7, -8, -9, -10 because

7*8*9*10 = 5040
and also
(-7)*(-8)*(-9)*(-10)=5040

Statement 1: d is prime. Clearly d is 7, as prime can not be negative. Sufficient

Statement 2: a>b>c>d => d could be 7 or -10. Not sufficient.

Hence ans A it is.
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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1
Factorize:

5040
= $$2^4X3^2X5X7$$
=7x8x9x10

A: If d is a prime, only possible value is 7. - Sufficient.
B: a>b>c>d => d = 7 - Sufficient

Am I missing something ?
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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ConnectTheDots wrote:
Factorize:

5040
= $$2^4X3^2X5X7$$
=7x8x9x10

A: If d is a prime, only possible value is 7. - Sufficient.
B: a>b>c>d => d = 7 - Sufficient

Am I missing something ?

yes, possibility of negative numbers
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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1
Yes thats the mean little trick there. You will have to consider the negative numbers too. _________________
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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rajathpanta wrote:
a, b, c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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sinhap07 wrote:
rajathpanta wrote:
a, b, c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.

d is a prime number, so it cannot be -7. Only positive integers can be primes (the smallest prime is 2).
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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Hi Bunuel,

Does that mean the anwer is wrong.

Bunuel wrote:
sinhap07 wrote:
rajathpanta wrote:
a, b, c and d are consecutive integers such that the product abcd=5040, what is the value of d?

(1) d is prime
(2) a>b>c>d

In that case, answer should be E because with stmt 1 again, d value is either 7 or -7.

d is a prime number, so it cannot be -7. Only positive integers can be primes (the smallest prime is 2).

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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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shriramvelamuri wrote:
Hi Bunuel,

Does that mean the anwer is wrong.

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No, the answer is still A.
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The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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The product of consecutive integers a, b, c, and d is 5,040. What is the value of d?

(1) d is prime

(2) d < c < b < a
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Re: The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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Bunuel wrote:
The product of consecutive integers a, b, c, and d is 5,040. What is the value of d?

(1) d is prime

(2) d < c < b < a

Given product of consecutive integers a, b, c, and d is 5,040 then we get 7 * 8* 9* 10..

1. d is prime => and only prime in this series is 7...Sufficient.

2. d < c < b < a then it has to be 7 < 8 < 9 < 10... we get d as 7...Sufficient.

IMO D is the correct answer...Both choices are independently sufficient.
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Re: The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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a*b*c*d=5040
also
5040=2^4*3^2*5*7
or,
5040=10*9*8*7

(1) d is prime

d=7 ---sufficient !!

(2) d < c < b < a

d=7 ---sufficient !!

D
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Re: The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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1
Bunuel wrote:
The product of consecutive integers a, b, c, and d is 5,040. What is the value of d?

(1) d is prime

(2) d < c < b < a

Factors of 5,040= 10*9*8*7

(1) d is prime. Only prime number in factors is 7.

Sufficient.

(2) d < c < b < a
d is the smallest number, i.e. 7. Sufficient.

D is the answer
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Re: The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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Bunuel wrote:
The product of consecutive integers a, b, c, and d is 5,040. What is the value of d?

(1) d is prime

(2) d < c < b < a

Consecutive integers will be 7,8,9,10 OR -7,-8,-9,-10

Statement 1:d is prime-sufficient-only 7 is prime
Statement 2:D is the smallest:Not sufficient:d can be -10 or 7

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Re: The product of consecutive integers a, b, c, and d is 5,040. What is  [#permalink]

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Unless I missed something the same question was already present and indeed KS15 is right and the answer was A)
Nice one.

a-b-c-and-d-are-consecutive-integers-such-that-the-product-141920.html
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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rajathpanta wrote:
$$a$$, $$b$$, $$c$$ and $$d$$ are consecutive integers such that the product $$abcd=5040$$, what is the value of $$d$$?

(1) $$d$$ is prime
(2) $$a>b>c>d$$

abcd = 5040, where a,b,c,d are consecutive integers.
d = ?

1) d is prime
5040 = 7*8*9*10
=> d = 7
Sufficient.

2) a > b > c > d
d = 7 or d = -10
=> a, b, c, d can also be negative consecutive integers.
InSufficient.

A is the answer.
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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rajathpanta wrote:
$$a$$, $$b$$, $$c$$ and $$d$$ are consecutive integers such that the product $$abcd=5040$$, what is the value of $$d$$?

(1) $$d$$ is prime
(2) $$a>b>c>d$$

Tricky

x (x+1)(x+2)(x+3) =5040 --- 7<x<10

2^4 *7 *2 * 5 --- hidden in here is 7 * 8 *9 *10

Statement 1

A prime number cannot be negative

suff

Statement 2

Actually, because there are four numbers you could technically have -7

insuff

A
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Re: a, b, c and d are consecutive integers such that the product  [#permalink]

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_________________ Re: a, b, c and d are consecutive integers such that the product   [#permalink] 17 Jan 2019, 06:42
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