If p, q, r are even numbers such that 2

Question

Competition Mode Question

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
(2) r < 10

ArunSharma12 · Answer

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
(2) r < 10

Given: p,q and r are even numbers & 2 < p < q < r.

statement 1:
p < 6; so P = 4
but q can be any even number greater than 4
not sufficient

statement 2:
r < 10
r has to be 8, in order for p and q to be 4 and 6 respectively.
sufficient

Ans: B

freedom128 · Answer

p, q, r are even numbers. 
2 < p < q < r

Q. the value of q ?

(1) 2 < p < 6, so p=4
q can be 6, 8, 10, etc
NOT SUFFICIENT

(2) r < 10.
2 < p < q < r < 10, so p, q, r must be 4, 6, 8, consecutively. Therefore, the value of q is 6.
SUFFICIENT

FINAL ANSWER IS (B)

Posted from my mobile device

unraveled · Answer

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
CASE I: 2 < 4 < 8 < 10
CASE II: 2 < 4 < 6 < 10
q = 6 or 8. Hence

INSUFFICIENT.

(2) r < 10
Only case is 2 < 4 < 6 < 8
q = 6

SUFFICIENT.

Answer B.

Sanket05 · Answer

Statement 1 
p < 6

We know q > P and as per the statement P is 4. q can be any even number more than 4 but less than r. Insufficient

Statement 2
r < 10

Between 2 and 10 i.e. 4,6, and 8 p and q be any of the two even numbers i.e. 4 and 6, 6 and 8 and 4 and 8. Insufficient

Together

p is 4 and r is 10. q can be either 4 or 6. Insufficient

Answer is E

tanpopo145 · Answer

2 < p < q < r and p, q, r are even numbers

(1) p<6 --> many solutions for q (i.e. 6,8,10 etc) -> not enough
(2) r < 10
If r = 8 -> p = 4, q = 6
If r = 6 -> no value for q or p
--> Not enough information
(1) + (2) combine:
p < 6
r < 10
-> if r = 8 --> p = 4, q = 6
If r = 6 then there are no value for p and q

I think it is E. Not sure if any trick here.

Usoop · Answer

The value of q should be 7

exc4libur · Answer

2<p<q<r
minimum: 2<4<6<8

(1) insufic

2<p<6=4; q>4=6,8,…

(2) sufic

r<10, r=8; q=6

ans (B)

StevenA · Answer

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
(2) r < 10

In 1st statement, 
2 < p < q < r 
Since p < 6 and p must be even numbers, p must be 4 --> 2 < 4 < q < r. It does not help to find q

In 2nd statement, 
2 < p < q < r 
Since r < 10, p, q and r are 4, 6, and 8. Hence, q is 6 (B)

chaitralirr · Answer

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
(2) r < 10

q is a value in between p and r

Statement 1: Insufficient as it does not give us value of q

Statement 2: Sufficient as it value of q

if r is less than 10 then it is 8 and so q is 6 and p is 4
IMP B

inesserra · Answer

answer B,
from statement (2). If r is <10 and all are even numbers r can only be 8 and hence q=6; p=4.

from statement (1) p < 6 but >2 it can only be 4 but we have no info if it is a sequence or no. Therefore it is not sufficient

neshantz · Answer

My answer is B; q =6.

monikakumar · Answer

If p, q, r are even numbers such that 2 < p < q < r what is the value of q ?

(1) p < 6
(2) r < 10

1) p = 4, but q>4
insufficient
2) r = 8, as 2<p<q, so p=4, q=6
sufficient
Ans B

If p, q, r are even numbers such that 2 < p < q < r what is the value

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 Data Sufficiency (DS) Questions

If p, q, r are even numbers such that 2 < p < q < r what is the value

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