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07 Dec 2025, 19:02
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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:
65%
(hard)
Question Stats:
55% (02:05) correct
45%
(02:04)
wrong
based on 129
sessions
History
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Not Attempted Yet
The performance rating for an employee is determined by taking 40 percent of the annual review score and 15 percent from each of the four quarterly review scores, where each review score is a number from 0 to 10. If an employee's performance rating must be at least 7 in order for the employee to qualify for a promotion, did Chloe qualify for the promotion?
(1) Chloe’s annual review score was at least 6.
(2) The average (arithmetic mean) of Chloe's four quarterly review scores was at least 7.5.
(1) Chloe’s annual review score was at least 6.
(2) The average (arithmetic mean) of Chloe's four quarterly review scores was at least 7.5.
08 Dec 2025, 03:59
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ExpertsGlobal5
There are two scores, ARS ( Annual Review Score) and QRS ( Quaterly Review Score), they lie within the range of 0 to 10.
And, both add to the PR ( Performance rating ).
If PR >= 7, then the employee is getting promotion.
Did Chloe gets promoted?
Statement 1:
(1) Chloe’s annual review score was at least 6.
ARS lower band starts at 6.
40%*(6) = 2.4 (minimum).
40%*(10) = 4 (maximum).
Without knowing QRS, we cannot calculate PR.
Hence, Insufficient.
Statement 2:
(2) The average (arithmetic mean) of Chloe's four quarterly review scores was at least 7.5.
If average = 7.5
Sum of 4 Quaterly score = 7.5*4 = 30
QRS = 15%*(30) = 4.5 (Minimum)
QRS = 15%*(40) = 6 (maximum).
Without, ARS, we cannot calculate PR.
Hence, Insufficient.
Combining both Statements 1 and 2, we get
PR = minimum ARS + minimum QRS = 2.4 + 4.5 = 6.9 ( didn’t cross the threshold of at least 7 by 0.1). Hence, DIDNOT Qualify.
PR =maximum ARS + maximum QRS = 4+ 6 = 10. Qualify.
PR can take any value from 6.9 to 10.
Hence, Insufficient
Option E
13 Dec 2025, 02:15
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ExpertsGlobal5
Explanation:
Let Chole’s annual review score be A.
Let Chole’s four quarterly review scores be Q1, Q2, Q3 and Q4.
Since the performance rating is determined by taking 40 percent of the annual review score and 15 percent from each of the four quarterly review scores:
Chole’s performance rating = 0.4A + 0.15Q1 + 0.15Q2 + 0.15Q3 + 0.15Q4 = 0.4A + 0.15(Q1 + Q2 + Q3 + Q4)
We need to find whether 0.4A + 0.15(Q1 + Q2 + Q3 + Q4) ≥ 7.
Statement (1)
A ≥ 6 (Equation I)
Minimum possible value of Chole’s performance rating
= 0.4A + 0.15(Q1 + Q2 + Q3 + Q4)
= 0.4(6) + 0.15(0 + 0 + 0 + 0)
= 0.4(6) + 0.15(0)
= 2.4
Since based on the given conditions Chloe’s performance rating can be any value from 2.4 to 10, it is NOT possible to determine whether Chloe qualified for the promotion. Hence, Statement (1) is insufficient.
Statement (2)
(Q1 + Q2 + Q3 + Q4) / 4 ≥ 7.5
(Q1 + Q2 + Q3 + Q4) ≥ 7.5 x 4
(Q1 + Q2 + Q3 + Q4) ≥ 30 (Equation II)
Minimum possible value of Chole’s performance rating
= 0.4A + 0.15(Q1 + Q2 + Q3 + Q4)
= 0.4(0) + 0.15(30)
= 4.5
Since based on the given conditions Chloe’s performance rating can be any value from 4.5 to 10, it is NOT possible to determine whether Chloe qualified for the promotion. Hence, Statement (2) is insufficient.
As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.
Statement (1) and Statement (2) combined
From Equations I and II:
Minimum possible value of Chole’s performance rating
= 0.4A + 0.15(Q1 + Q2 + Q3 + Q4)
= 0.4(6) + 0.15(30)
= 6.9
Since based on the given conditions Chloe’s performance rating can be any value from 6.9 to 10, it is NOT possible to determine whether Chloe qualified for the promotion. Hence, Statement (1) and Statement (2) combined are insufficient.
E is the correct answer choice.
