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UPSC CSE Prelims 2026 — Data Interpretation Questions with Answers

All 5 Data Interpretation previous-year questions from UPSC CSE Prelims 2026, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Data Sufficiency

   Question: X receives three coins of different denominations: 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I: m is not a prime number. Statement II: The sum of the digits of m is greater than 5.

   • a)Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
   • b)Select this option if the question can be answered using either statement alone
   • c)Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
   • d)Select this option if the question cannot be answered even using any of the statements
2. Q2.Data Sufficiency

   Question: For two distinct real numbers x and y, which of them is bigger? Statement I: x² < y < 1 Statement II: y < √x < 1

   • a)Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
   • b)Select this option if the question can be answered using either statement alone
   • c)Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
   • d)Select this option if the question cannot be answered even using any of the statements
3. Q3.Data Sufficiency

   Question: If x and y are integers, then is x even? Statement I: x²y² is even. Statement II: 1 + x² + y² is odd.

   • a)Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
   • b)Select this option if the question can be answered using either statement alone
   • c)Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
   • d)Select this option if the question cannot be answered even using any of the statements
4. Q4.Data Sufficiency

   Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number from T even? Statement I: The sum of any two numbers belonging to T is even. Statement II: If both p and q are picked from T, then (p - 1)q is even.

   • a)Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
   • b)Select this option if the question can be answered using either statement alone
   • c)Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
   • d)Select this option if the question cannot be answered even using any of the statements
5. Q5.Data Sufficiency

   Question: If x, y and z are integers, each greater than 1, then is x a prime number? Statement I: xy² = 116 Statement II: xz = 261

   • a)Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
   • b)Select this option if the question can be answered using either statement alone
   • c)Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
   • d)Select this option if the question cannot be answered even using any of the statements