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Published on: 10/11/2020
11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions 2020 - 2021
Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Each of five questions is a multiple-choice test has 4 possible answers. The number of different sets of possible answers is _________
45-4
54-5
1024
1023
2.
The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 without repetition _________
216
192
120
72
3.
The number of ways of disturbing 7 identical balls in 3 distinct boxes, so that no box is empty is _________
7
6
35
15
4.
The number of ways of selecting of 3 poets and 4 scientists such that poets are in even places _________
12
36
72
144
5.
If mC1 = nC2, then _________
2m = n
2m = n(n+1)
2m = n(n-1)
2n=m(m-1)
6.
The product of r consecutive positive integers is divisible by _________
r!
r!+1
(r+1)
none of these
7.
Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is
11
12
10
6
8.
The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is
2 \(\times\) 11 C7+10C8
11C7+10C8
12C8-10C6
10C6+2!
9.
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is
304\(\times\) 292
303\(\times\) 293
302\(\times\) 294
30\(\times\)295
10.
The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is
432
108
36
18
1.
(c)
1024
2.
(b)
192
3.
(d)
15
4.
(d)
144
5.
(c)
2m = n(n-1)
6.
(a)
r!
7.
Number of shake hands = 66
Let there be n persons.
No. of . Shake hands
= (n - 1) + (n - 2) + .......+.2 + 1
\(66 =\frac{(n-1)}{2} n \)
\(n^{2}-n =132 \)
\(n^{2}-n-132 =0 \)
\((n-12)(n+11) =0 \)
\(\mathrm{n}=2 \text { (or) }-11 \text { (not valid) }\)
8.
Number of ways of selecting 8 people from 12 in 12C8 ways.
Let A and B both attend the party
Out of 10 remaining people 8 can attend in 10C6 ways.
.'. Number of ways in which two of them do not attend together = 12C8 - 10C6
9.
First in Maths = 30 ways
Second in Maths - 29 ways
Similarly for other subjects
30 \(\times\) 29 \(\times\) 30 \(\times\) 29 \(\times\) 30 \(\times\)30 = 304 \(\times\)292
10.
Total numbers = 4 \(\times\) 3 \(\times\) 2 \(\times\) 1 = 24,
Sum of alt integers in tenth place
= 6 ( 2 + 4 + 5 + 7) = 108
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Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
French
Tamilnadu Stateboard Standards
