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03 Jul 2025, 03:46
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Let podcasts = p, songs = 3p
Avg. revenue/podcast = P
Avg. revenue/song = S
We need to check if (3p*S) > (p*P) or 3S > P or 3S – P > 0
Statement 1 : P = S + 12
-> 3S > S + 12
-> 2S > 12
-> S > 6.
Still, S is unknown. Insufficient
Statement 2 : Overall average > 20
-> (3S + P)/4 > 20
-> 3S + P > 80.
Still doesn't lead us to the initial equation. Insufficient.
Statement 1 & 2 together :
From 1, we have P = S + 12
Substituting this in 2,
-> 3S + (S + 12) > 80
-> 4S + 12 > 80 → S > 17.
Now, let's check with this in initial 3S – P > 0
-> 3S – (S + 12) > 0
-> 2S – 12 > 0
-> S > 6
Since S > 17, we can say that together the 2 statements are sufficient.
Answer : C.
Avg. revenue/podcast = P
Avg. revenue/song = S
We need to check if (3p*S) > (p*P) or 3S > P or 3S – P > 0
Statement 1 : P = S + 12
-> 3S > S + 12
-> 2S > 12
-> S > 6.
Still, S is unknown. Insufficient
Statement 2 : Overall average > 20
-> (3S + P)/4 > 20
-> 3S + P > 80.
Still doesn't lead us to the initial equation. Insufficient.
Statement 1 & 2 together :
From 1, we have P = S + 12
Substituting this in 2,
-> 3S + (S + 12) > 80
-> 4S + 12 > 80 → S > 17.
Now, let's check with this in initial 3S – P > 0
-> 3S – (S + 12) > 0
-> 2S – 12 > 0
-> S > 6
Since S > 17, we can say that together the 2 statements are sufficient.
Answer : C.
03 Jul 2025, 04:04
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We are given:
Ask: Is S*s unit price = 3P*s > P*p unit price?
(1) p = s+12
(2) (3Ps + Pp) / 4P >20
(1)+(2) 3s + s + 12 > 80 ; 4s > 68 ; s > 17
only need s>6 for Ss > Pp (Sufficient)
Answer: C
- No. of Songs (S), No. of Podcasts (P)
- S = 3P
Ask: Is S*s unit price = 3P*s > P*p unit price?
(1) p = s+12
- Songs revenue = 3Ps
- Podcast revenue = P(s+12) = Ps +12P
- We do not know if 2Ps > 12P or if s>6 (Insufficient)
(2) (3Ps + Pp) / 4P >20
- 3Ps + Pp > 80P
- 3s + p > 80
- Still cannot compare 3s and p directly (Insufficient)
(1)+(2) 3s + s + 12 > 80 ; 4s > 68 ; s > 17
only need s>6 for Ss > Pp (Sufficient)
Answer: C
03 Jul 2025, 04:15
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Given :
Let :
i.e Is 3s > p?
Statement (1): p = s + 12 cents
Substituting into our question: Is 3s > s + 12? Is 2s > 12? Is s > 6?
We don't know the value of s, so we can't determine if it's greater than 6 cents.
case scenarios for Statement (1):
Statement (2): Average revenue per stream across both > 20 cents
Total revenue = 3P × s + P × p = P(3s + p)
Total streams = 3P + P = 4P
Average = P(3s + p) / 4P = (3s + p) / 4
So: (3s + p) / 4 > 20
Therefore: 3s + p > 80
This gives us a constraint but doesn't directly answer whether 3s > p.
Statement (2) alone is insufficient.
Both statements together:
From (1): p = s + 12
From (2): 3s + p > 80
Substituting:
3s + (s + 12) > 80
4s + 12 > 80
4s > 68
s > 17
Since s > 17, we have: 3s > 3(17) = 51
And p = s + 12 > 17 + 12 = 29
So 3s > 51 and p > 29, but we need to check if 3s > p.
Since p = s + 12 and s > 17
3s > p becomes 3s > s + 12
2s > 12
s > 6
Since we know s > 17, and 17 > 6, we have s > 6.
Therefore: 3s > p, meaning song revenue > podcast revenue.
Answer: Both statements together are sufficient, but neither alone is sufficient.
- Songs streamed = 3 × Podcasts streamed
- Let P = number of podcasts streamed
- Then 3P = number of songs streamed
Let :
- s = average revenue per song stream
- p = average revenue per podcast stream
- Song revenue = 3P × s
- Podcast revenue = P × p
i.e Is 3s > p?
Statement (1): p = s + 12 cents
Substituting into our question: Is 3s > s + 12? Is 2s > 12? Is s > 6?
We don't know the value of s, so we can't determine if it's greater than 6 cents.
case scenarios for Statement (1):
- If s = 5 cents, then p = 17 cents: 3(5) = 15 < 17, so podcast revenue is higher
- If s = 10 cents, then p = 22 cents: 3(10) = 30 > 22, so song revenue is higher
Statement (2): Average revenue per stream across both > 20 cents
Total revenue = 3P × s + P × p = P(3s + p)
Total streams = 3P + P = 4P
Average = P(3s + p) / 4P = (3s + p) / 4
So: (3s + p) / 4 > 20
Therefore: 3s + p > 80
This gives us a constraint but doesn't directly answer whether 3s > p.
Statement (2) alone is insufficient.
Both statements together:
From (1): p = s + 12
From (2): 3s + p > 80
Substituting:
3s + (s + 12) > 80
4s + 12 > 80
4s > 68
s > 17
Since s > 17, we have: 3s > 3(17) = 51
And p = s + 12 > 17 + 12 = 29
So 3s > 51 and p > 29, but we need to check if 3s > p.
Since p = s + 12 and s > 17
3s > p becomes 3s > s + 12
2s > 12
s > 6
Since we know s > 17, and 17 > 6, we have s > 6.
Therefore: 3s > p, meaning song revenue > podcast revenue.
Answer: Both statements together are sufficient, but neither alone is sufficient.
