GATE DA 2026 Paper 1 — page 3

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20. Ignoring permutations, the number of ways to pick these five integers is _____.

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Rishi and Swathi are students of Class 5. Pavan and Tanvi are students of Class 4. Rishi and Pavan are boys. Swathi and Tanvi are girls. The four students played a total of three games of chess. The games were played one after another. A player who lost a game did not participate in any more games. It was observed that: (i) the first game was the only game where two students of the same class played against each other. (ii) the students of Class 5 won more games than the students of Class 4, and (iii) the boys won two games and the girls won one game. The student who did not lose any game is ________.

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Pavan

Rishi

Swathi

Tanvi

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, and

are distinct single-digit whole numbers taking values from 0 to 9.

is a two-digit number with

being in the units place and

in the tens place. Similarly,

is a two-digit number.

It is known that

and

are consecutive numbers and

, with

being a three-digit number.

The value of

is __________

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2026 · Paper 1

Question 7

Question 8

Question 9