25 verified questions · ~38 minutes · answer key checked against the official NTA final key across multiple sources. Text-only questions (diagram-based excluded until they can be shown properly).
The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits allowed), such that the sum of their first and last digits should not be more than 8, is
Let ABCD be a trapezium whose vertices lie on the parabola y² = 4x. Let the sides AD and BC of the trapezium be parallel to the y-axis. If the diagonal AC is of length 25/4 and it passes through the point (1, 0), then the area of ABCD is
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