2026 · Q80
A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: Let XYZ be a 3-digit number and the difference between XYZ and ZYX is equal to PQR. Is (P + R) equal to Q?
Statement IP = 3.
Statement IIR = 6.
Which one of the following is correct in respect of the above Question and the Statements?
Elementary MathematicsNumber System
- AThe Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using both the Statements
Explanation
XYZ−ZYX=99(X−Z), and for a 3-digit difference this is one of 198, 297, …, 891. In every case the outer digits sum to the middle digit (P+R=Q, e.g. 5+4=9 for 594), so the answer is 'Yes' with no statements needed, option D.