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The letters P, Q, R, S, T, U and V, not necessarily in that order, represents seven consecutive integers from 22 to 33.
(i) U is as much less than Q as R is greater than S.
(ii) V is greater than U.
(iii) Q is the middle term.
(iv) P is 3 greater than S.
Find the sequence of letters from the lowest value to the highest value.
  • a)
    PVSQRTU
  • b)
    SUTQPRV
  • c)
    USVQPRT
  • d)
    TUSQRPV
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The letters P, Q, R, S, T, U and V, not necessarily in that order, rep...
To solve this question, we need to analyze the given information and apply logical deductions to determine the sequence of letters from the lowest value to the highest value. Let's break down the given information and analyze each statement.

(i) U is as much less than Q as R is greater than S.
From this statement, we can conclude that the difference between U and Q is equal to the difference between R and S. Let's assume the difference is "x". So, we have: U - Q = R - S = x.

(ii) V is greater than U.
This statement tells us that V is greater than U. Therefore, V > U.

(iii) Q is the middle term.
According to this statement, Q is the middle term among the seven consecutive integers. Since there are seven integers, the middle term will be the fourth term.

(iv) P is 3 greater than S.
From this statement, we know that P is 3 greater than S. So, P = S + 3.

Based on the given information and the logical deductions, we can start solving the question step by step.

Step 1: Determine the middle term
Since Q is the middle term, we can place it as the fourth term in the sequence. Let's denote it as _ _ _ Q _ _ _.

Step 2: Determine the difference
From statement (i), we know that U - Q = R - S = x. Since Q is the middle term, the difference between U and Q is x. So, we can write U = Q + x. Similarly, the difference between R and S is also x. Therefore, we can write R = S + x.

Step 3: Determine the relationship between P and S
From statement (iv), we have P = S + 3.

Step 4: Place the remaining letters based on the given information
Now, we have the following information:
- V > U
- U = Q + x
- R = S + x
- P = S + 3

Based on these conditions, we can determine the order of the remaining letters.

- V > U: Since U = Q + x, the value of V must be greater than Q + x.
- R = S + x: Since S is the lowest value among the seven consecutive integers, R will be the second lowest value.
- P = S + 3: P will be the third lowest value.

Therefore, the sequence of letters from the lowest value to the highest value is TUSQRPV, which corresponds to option (d).
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Community Answer
The letters P, Q, R, S, T, U and V, not necessarily in that order, rep...
From (iii), Q is the middle term.___ ___ ___ _Q_ ___ ___ ___
From (iv), there must be exactly 2 numbers between P and S which gives two possible positions.
[1] ___ _S_ ___ _Q_ _P_ ___ ___
[2] ___ ___ _S_ _Q_ ___ _P_ ___
From (i), the number of letters between U and Q must be same as the number of letters between S and R.
Also, the number of letters between them can be 1, 2 or 3.
Using trial and error, it can be found that there must be 2 letters between them. Also, it is possible only in [2] above.
[2] ___ _U_ _S_ _Q_ _R_ _P_ ___
From (ii) V must be the highest and the remaining T must be the lowest number.
_T_ _U_ _S_ _Q_ _R_ _P_ _V_
Thus, the sequence of letters from the lowest value to the highest value is TUSQRPV.
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The letters P, Q, R, S, T, U and V, not necessarily in that order, represents seven consecutive integers from 22 to 33.(i) U is as much less than Q as R is greater than S.(ii) V is greater than U.(iii) Q is the middle term.(iv) P is 3 greater than S.Find the sequence of letters from the lowest value to the highest value.a)PVSQRTUb)SUTQPRVc)USVQPRTd)TUSQRPVCorrect answer is option 'D'. Can you explain this answer?
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