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D
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92% (01:35) correct
8%
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wrong
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In the Fortune Frenzy national lottery, a fixed annual cash prize is set initially. For each year that the prize goes unclaimed, an additional $50 million is added to the prize pool for the following year. How much is the fixed annual cash prize set initially?
(1) If the prize goes unclaimed for the first 9 years, the cash prize available for the 10th year will be thrice as large as the prize available for the first year.
(2) If the prize goes unclaimed for the first 5 years, the cash prize available for the 6th year will be $475 million.
(1) If the prize goes unclaimed for the first 9 years, the cash prize available for the 10th year will be thrice as large as the prize available for the first year.
(2) If the prize goes unclaimed for the first 5 years, the cash prize available for the 6th year will be $475 million.
07 Jan 2026, 01:06
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ExpertsGlobal5
The annual price is initially set as F.
Year 1 = Fixed price = F
Year 2 = Fixed price + (number of years -1)*50 = F + (2-1)*50 = F +50.
Year 3 = F+ (3-1)*50 = F+ 100.
We need to find: F?
Statement 1:
If the prize goes unclaimed for the first 9 years, the cash prize available for the 10th year will be thrice as large as the prize available for the first year.
Year 9 = F+ (9-1)*50 = F+ 400.
Year 10 = F+ 9*50= F + 450.
F+450 = 3*F
F+450 = 3F
F=225. Sufficient
Statement 2:
(2) If the prize goes unclaimed for the first 5 years, the cash prize available for the 6th year will be $475 million.
Year 6 = F+(6-1)*50 = F + 250
F+250 = 475
F = 225. Sufficient
Option D
11 Jan 2026, 06:45
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ExpertsGlobal5
Explanation:
Let the initial, fixed cash prize be P.
Since $50 million is added to the prize pool each year:
Prize pool at 1st year = P
Prize pool at 2nd year = P + 50
Prize pool at 3rd year = P + (2)50
Prize pool at nth year = P + (n – 1)50
We need to find whether the value of P can be determined.
Statement (1)
P + (10 – 1)50 = 3P
Since we have 1 equation with 1 unknown variable, it is possible to determine the value of P. Hence, Statement (1) is sufficient.
Statement (2)
P + (6 – 1)50 = 475
Since we have 1 equation with 1 unknown variable, it is possible to determine the value of P. Hence, Statement (2) is sufficient.
D is the correct answer choice.
