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NIOS Mathematics (311) Solved Assignments [TMA] 2023-24
NIOS SOLVED ASSIGNMENTS [TMA] 2023-24
SENIOR SECONDARY SOLVED [TMA] 2023-24 for Class 12
Mathematics (311)
Tutor Marked Assignment
Click to buy NIOS Mathematics (311) Solved TMA (2023-24) PDF
Max. Marks: 20
Note:
(i) All questions are compulsory. Marks are
allotted in front of each question.
(ii) Write your Name, Enrolment Number, Study
Centre Name and Subject on the top of the first page of the answer sheet.
1. Answer any one out of the following
questions.
Write the following sets in roster form 2
a) A = {x : x is an integer and –3 ≤ x < 7}
Ans – A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
b) B = {x : x is a natural number less than 6}
Ans – B = {1, 2, 3, 4, 5}
2. Answer any one out of the following
questions.
a) Find the 28th term from the end of the AP 6, 9, 12, 15, 18, ..…, 102.
b) How many 3-digits numbers are divisible by 7?
3.Answer any one out of the following
questions.
a) If z1 = 2 + 8i and z2 = 1 – i, then find |z1/z2|.
b) Suppose z = (2 – i)2 + [(7 – 4i)/(2 + i)] – 8, express z in the form of x + iy such that x and y are real numbers.
4. Answer any one out of the following
questions.
a) In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?
b) How many 5-digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once? (See Lesson-11)
5. Answer any one out of the following
questions.
Prove the following by using the principle of
mathematical induction for all n ∈ N:
a) 1.2 + 2.22 + 3.22 + … + n.2n = (n – 1) 2n+1 + 2
b) n (n + 1) (n + 5) is a multiple of 3
6. Answer any one out of the following
questions.
A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The table shows the results of 1000 cases.
If a tyre is bought from this company, what is
the probability that :
(i) it has to be substituted before 4000 km is
covered?
(ii) it will last more than 9000 km?
(iii) it will need to be replaced after it has
covered somewhere between 4000 km and 14000 km?
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