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UPSC Prelims

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CSAT 2024

Q50 2024, CSAT 2024

The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples. Consider the following statements:
1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
2. The total cost of one orange and one mango is equal to the cost of one apple.
Which of the statements given above is/are correct?

4 संतरे, 6 आम और 8 सेबों की कुल कीमत 1 संतरा, 2 आम और 5 सेबों की कुल कीमत की दोगुनी है। निम्नलिखित कथनों पर विचार कीजिए:
1. 3 संतरे, 5 आम और 9 सेबों की कुल कीमत, 4 संतरे, 6 आम और 8 सेबों की कुल कीमत के बराबर है।
2. एक संतरा और एक आम की कुल कीमत, एक सेब की कीमत के बराबर है।
उपर्युक्त कथनों में से कौन-सा/कौन-से सही है/हैं?

Explanation Please wait..

Given that the total cost of 4 O, 6 M, and 8 A is equal to twice the total cost of 1 O, 2 M, and 5 A.

4 O + 6 M + 8 A = 2(1 O + 2 M + 5 A)
4 O + 6 M + 8 A = 2 O + 4 M + 10 A
2 O + 2 M = 2 A
O + M = A

Now, let’s consider statement 1:

The total cost of 3 O, 5 M, and 9 A is equal to the total cost of 4 O, 6 M, and 8 A.
3 O + 5 M + 9 A = 4 O + 6 M + 8 A
O + M = A
This statement is correct as it follows the simplified equation from the given data.

Now, let's consider statement 2:

The total cost of one O and one M is equal to the cost of one A.
O + M = A
This statement is also correct as it follows the simplified equation from the given data.

Therefore, both statements 1 and 2 are correct. The correct answer is option (c)

व्याख्या Please wait..

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