The product of the sum of 3 consecutive prime numbers and the greatest

Question

The product of the sum of 3 consecutive prime numbers and the greatest integer less than the least of the prime numbers is 30. What is the largest of the 3 prime numbers?

A. 2
B. 3
C. 5
D. 7
E. 11

Archit3110 · Answer

Solution : (2+3+5)= 10
and difference (5-2)= 3
10*3= 30 ..
option C

Salsanousi · Answer

2 + 3 + 5 = 10

5 - 2 = 3

10*3 = 30

Largest is 5

Answer choice C

Posted from my mobile device

swatato · Answer

I think its D.

The greatest integer less than the least of the primes is a number that is smaller than the lowest prime in the set. If we take 2,3,5 we get the number as 1. (2+3+5)*1 = 10, which is inconsistent with what the question says.

If we pick 7,5,3 the solution looks like: (7+5+3)*2 = 30. Which fits the question stem.

Hence, D

Posted from my mobile device

EgmatQuantExpert · Answer

Solution 
  Given:  
 • The product of the sum of 3 consecutive prime numbers and the greatest integer, less than the least of the prime numbers = 30

To find:  
 • The largest of the 3 prime numbers

Approach and Working:   
 • Let a < b < c, where a, b, and c are three consecutive prime numbers
• Thus, (a + b + c) * (a - 1) = 30
 o Since, {a, b, c} are primes, (a + b + c) must be greater than or equal to the sum of the three least consecutive primes = 2 + 3 + 5 = 10, and (a – 1) ≥ 1

• 30 can be written as 1 * 30 (or) 2 * 15 (or) 3 * 10 (or) 5 * 6
 o The only possible case, such that {a, b, c} be 3 consecutive primes is 2 * 15, which implies, {a, b, c} = {3, 5, 7}  
 
Hence, the correct answer is Option D

Answer: D

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-NP-e1533292144892.png

eabhgoy · Answer

So i misunderstood the question initially.

It states the product of

=> (the sum of 3 consecutive prime numbers) * (Greatest integer less than least of the three prime) = 30

I did hit and trial and got the following answer:
=> (7 + 5 + 3) * (2) (2 being the greatest integer less than 3)
=> 15 * 2 
=> 30

Hence the D is the correct option.

ScottTargetTestPrep · Answer

The three prime numbers are 3, 5, and 7, and the greater integer that is smaller than the smallest prime number in the list is 2. Thus, we have:

2 x (3 + 5 + 7) = 2 x 15 = 30

So, the largest of the three prime numbers is 7.

Answer: D

chetan2u · Answer

(1) The question is pretty easy as 30 is a very small number and with just two hit and trials the answer could be found. 
Least sum = 2+3+5 = 10
So, product = 10*(2-1) = 10

Next set = 3+5+7 = 15
So, product = 15*(3-1) = 30, the right answer is 7.

(2) But say the number was something greater, we could still work upon them. 
The factors of 30 are 2,3,5,6,10,15,30.
One of these factors is the integer less than least prime number. 2, 6, 10 and 30 give a prime number when 1 is added to it. 
Least sum = 2+3+5 = 10
Thus, the integer must be less than or equal to 30/10 or 3.
Only 2 fits in amongst the factors. 
So, the least prime number is 3 and the product is (3+5+7) * 2 or 30.

Answer 7

tomloveless · Answer

This is worded more confusing than necessary to test for competency for problem solving.

The product of the sum of 3 consecutive prime numbers and the greatest

Prep Toolkit

Top 5 GMAT Debrief Videos

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

The product of the sum of 3 consecutive prime numbers and the greatest

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards