Israel has missile storage sufficient for 10 months under normal usage. Due to recent geopolitical turmoil, the country began using 25% more missiles each month than usual.

Consider the following statements:
Statement I: Israel can sustain its missile usage for 8 months under the increased usage rate.
Statement II: After 6 months of increased usage, 40% of the original missile stock would remain.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Israel has missile storage sufficient for 10 months under normal usage. Due to recent geopolitical turmoil, the country began using 25% more missiles each month than usual.

Consider the following statements:
Statement I: Israel can sustain its missile usage for 8 months under the increased usage rate.
Statement II: After 6 months of increased usage, 40% of the original missile stock would remain.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let the total stock be 10 units (since 1 unit = 1 month of missile stock at normal usage).
With a 25% increase, monthly usage = 1.25 units per month.

To find how long the stock lasts:

10/1.25 = 8 months

So, Statement I is correct.

For Statement II, let's check remaining stock after 6 months:

Usage in 6 months = 6 &times; 1.25 = 7.5 units
Remaining = 10 &minus; 7.5 = 2.5 units
Remaining percentage = 2.5/10 &times; 100 =25%

So, Statement II is incorrect (not 40%).

Hence, the correct option is a

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