Explanation
1. Identify the Middle Term
There are seven consecutive integers. The problem states that Q is the middle term.
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Sequence position: 1,2,3,Q,5,6,7
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In all options, Q is at the 4th position.
2. Analyze the "Difference" Constraint
The statement "U is as much less than Q as R is greater than S" translates to the equation:
Rearranging this:
3. Analyze the "P and S" Constraint
P is 3 greater than S:
This means there must be exactly two letters between S and P in the sequence (e.g., S,_,_,P).
4. Evaluating the Options
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Option (a) PVSQRTU:
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Option (b) SUTQPRV:
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Option (c) USVQPRT:
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Option (d) TUSQPRV:
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S is at pos 3, P is at pos 6. P−S=3. (Matches)
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Let's check Q−U=R−S:
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Q is pos 4, U is pos 2 ⇒4−2=2
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R is pos 5, S is pos 3 ⇒5−3=2
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2=2. (Matches)
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V is greater than U: V is pos 7, U is pos 2. (Matches)
Final Answer:
The correct sequence from lowest to highest value is (d) TUSQPRV.