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30 Jan 2026, 08:32
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
30% (02:16) correct
70%
(02:34)
wrong
based on 63
sessions
History
Date
Time
Result
Not Attempted Yet
From 2018 to 2019, Devin's investment stock increased by p%. From 2019 to 2020, there was an increase of q%. From 2020 onward, the investment stock decreased by r%. If p, q and r are all positive, was the investment stock worth more than it was in 2018?
(1) p + q > r
(2) q – p > r
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) p + q > r
(2) q – p > r
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
02 Feb 2026, 16:51
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Is this question worded properly? It's asking whether the stock was worth more than it was in 2018 but doesn't specify the year it's asking about
03 Feb 2026, 03:03
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Let the price of stock in 2018 be 100.
then price of stock in 2020 = 100(1+p/100)(1+q/100)
price after r% decrease = 100(1+p/100)(1+q/100)(1-r/100)------A
As per the question , we have to find if A >100 or not
So, assuming A>100
(1+p/100)(1+q/100)(1-r/100) >1
(100+p)(100+q)(100-r)>100
as per statement 1 which is p + q > r
let p=100, q=200 , r = 150
then value is in negative which is less than 100.
if we put p=1, q=100 and r=99 then value is greater than 100. So Statement 1 is NOT SUFFICIENT
Statament 2 , q – p > r
which is , q>p+r
p=1, r=1, q=5
then its greater than 100, but if
r=150, p=1, q=1000
whole value is in negative , hence statement 2 also INSUFFICIENT
Hence , option E
then price of stock in 2020 = 100(1+p/100)(1+q/100)
price after r% decrease = 100(1+p/100)(1+q/100)(1-r/100)------A
As per the question , we have to find if A >100 or not
So, assuming A>100
(1+p/100)(1+q/100)(1-r/100) >1
(100+p)(100+q)(100-r)>100
as per statement 1 which is p + q > r
let p=100, q=200 , r = 150
then value is in negative which is less than 100.
if we put p=1, q=100 and r=99 then value is greater than 100. So Statement 1 is NOT SUFFICIENT
Statament 2 , q – p > r
which is , q>p+r
p=1, r=1, q=5
then its greater than 100, but if
r=150, p=1, q=1000
whole value is in negative , hence statement 2 also INSUFFICIENT
Hence , option E
Amity007
