100% Free

AIEEE 2003 (Maths) Mock Test

Medium 75 Questions 180 min 75 marks

⚡ Live Test Mode Available

Take this as a timed mock test

180 min · 75 marks · Full test mode with leaderboard

Previous Year Questions

75medium

Questions

Attempted

Correct

Wrong

0/5 attempted

Question No: 26Difficulty: mediumMarks: 1mcq

If f : R \to R satisfies f (x + y) = f (x) + f (y), for all x, y \in R and f (1) = 7, then \sum_{r = 1}^{n} f (r) is:

Question No: 27Difficulty: mediumMarks: 1mcq

If f (x) = x^{n}, then the value of f (1) - \frac{f ^{'} ( 1 )}{1 !} + \frac{f ^{''} ( 1 )}{2 !} - \frac{f ^{'''} ( 1 )}{3 !} + \dots + (- 1)^{n} \frac{f ^{n} ( 1 )}{n !} is:

Question No: 28Difficulty: mediumMarks: 1mcq

Domain of definition of the function f (x) = \frac{3}{4 - x ^{2}} + lo g_{10} (x^{3} - x), is:

Question No: 29Difficulty: mediumMarks: 1mcq

lim_{x \to π} \frac{t a n [ 1 - s i n ( x /2 )]}{[ π - 2 x ] ^{2}} is:

Question No: 30Difficulty: mediumMarks: 1mcq

If lim_{x \to 0} \frac{l o g ( 3 + x ) - l o g ( 3 - x )}{x} = k, the value of k is:

✓ Showing questions 26–30 of 75 — use the page buttons below to practice the rest