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UPSC Prelims

CSAT Year Wise (Temporary Link, This will be removed and no PDFs shall be downloaded here. Please download CSAT subject wise files) / सी सैट

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CSAT 2024

Q65 2024, CSAT 2024

A Question is given followed by two Statements I and II. Consider the Question and the Statements. A certain amount was distributed among X, Y and Z.
Question: Who received the least amount?
Statement-I: X received 4/5 of what Y and Z together received.
Statement-II: Y received 2/7 of what X and Z together received.
Which one of the following is correct in respect of the above Question and the Statements?

एक प्रश्न दिया गया है जिसके बाद दो कथन I और II दिए गए हैं। प्रश्न और कथनों पर विचार कीजिए।
एक निश्चित धनराशि X, Y और Z के बीच बाँटी गई।
प्रश्न: किसे सबसे कम धनराशि प्राप्त हुई?
कथन-I: Y और Z को मिलकर जो धनराशि मिली, X को उसका 4/5 हिस्सा प्राप्त हुआ।
कथन-II: X और Z को मिलकर जो धनराशि मिली, Y को उसका 2/7 हिस्सा प्राप्त हुआ।
उपर्युक्त प्रश्न और कथनों के संबंध में, निम्नलिखित में से कौन-सा सही है?

Explanation Please wait..

Given:

A certain amount was distributed among X, Y and Z.

Checking statement 1 and 2 individually:

Statement I: X received 4/5 of what Y and Z together received. Means x = 4/5 (y+z)
Statement II: Y received 2/7 of what X and Z together received. Means y = 2/7 (x+z)
Options a and b are eliminated.

Now, calculations

x = 4/5 (y+z) and y = 2/7 (x+z)
Means, x = 4/5 (2/7 (x+z) + z)
Or 7*5 x = 4 * (2x + 2z + 7z)
Or 35x = 8x + 36z
Or 27x = 36z

Or x = 4z/3. Means, x > z.

Now, substituting value of x in any of the equations:

y = 2/7 * (x+z)
Or y = 2/7 * (4z/3+z)
Or y = 2/7 * (7z / 3)
Or y = 2z/3. Means y < z.

Now combining x > z and y < z.

x > z > y.
Hence, y received the least amount.

Hence, Option c is correct:

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

व्याख्या Please wait..

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