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# IIT-JEE-Mathematics–1998

Time : 3 hrs.                                                               Max. Marks : 200
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Instructions

1. This question paper is in two Sections and contains 8 pages. Section-I has 40 objective type questions. Section-II has 15 questions. There are NO negative marks for wrong answers.
2. Answer Section-I only on the printed form on the third page of your answer book.
3. Answer problems of Section-II starting from page 4 of the answer book. All parts of a question must be answered sequentially at one place only.
4. Attempt ALL questions/problems.
5. Answers must be written only in the language of your choice as shown in your Admit Card.
6. Use of all type of calculating devices, Graph paper, Logarithmic/Trigonometric/ Statistical Tables is PROHIBITED.
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SECTION I
Instructions

1. You must first transfer the Question Paper Code given here on top of this section to your Answer Sheet in the appropriate box marked QUESTION PAPER CODE.
2. Answer Section-I only on the printed form on the third page of your answer book by writing the appropriate letters (A), (B), (C) or (D) against the question number in the table. Answers for Section-I written in this space alone will be awarded any marks.
3. Section-I consists of 40 obective-type questions.
4. This section should take about one hour to answer.
5. Each question in this section carries 2 marks.
6. Read question 1 to 40 carefully and choose from amongst the alternatives given below each question the correct lettered choice(s). A question may have ONE OR MORE correct alternatives. In order to secure any marks for a given question, ALL correct lettered alternative(s) must be chosen.

1. If w is an imaginary cube root of unity, then (1 + w – w2)7 equals :
(A) 128 w
(B) –128 w
(C) 128 w2
(D) –128 w2

2. Let Tr be the rth term of an A.P., for r = 1, 2, 3, …… If for some positive integers m, n we have Tm = 1/n and Tn = 1/m, then Tmn equals :
(A) 1/mn
(B) 1/m+1/n
(C) 1
(D) 0

3. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:
(A) at least 30
(B) at most 20
(C) exactly 25
(D) none of these