11th Standard Syllabus & Materials

11th Standard

Tamilnadu 11th Standard Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365

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11th Standard

Tamilnadu 11th Standard Tamil கேடில் விழுச்செல்வம் - உரைநடை - தமிழகக் கல்வி வரலாறு Important Questions And Answers Study Material - QB365

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set B

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A

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11th Standard

Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set B

11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

Published on: 10/11/2020

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.

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

If ⁿP_t = 720 nCr, then the value of r = _________

(a)

(b)

(c)

(d)

The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 without repetition _________

(a)

216

(b)

192

(c)

120

(d)

If 7 points out of 12 are in the same straight line then the number of triangles formed is _________

(a)

(b)

(c)

220

(d)

185

The product of r consecutive positive integers is divisible by _________

(a)

(b)

r!+1

(c)

(r+1)

(d)

none of these

The number of ways to average the letters of the word CHEESE are _________

(a)

120

(b)

240

(c)

720

(d)

The product of first n odd natural numbers equals

(a)

²ⁿC_n\(\times\)ⁿP_n

(b)

\({ \left( \frac { 1 }{ 2 } \right) }^{ n }\times\)²ⁿC_n\(\times\)ⁿP_n

(c)

\({ \left( \frac { 1 }{ 4 } \right) }^{ n }\times \)²ⁿC_n\(\times\)²ⁿP_n

(d)

ⁿC_n\(\times\)ⁿP_n

The number of 10 digit number that can be written by using the digits 2 and 3 is

(a)

¹⁰C₂+⁹C₂

(b)

2¹⁰

(c)

2¹⁰-2

(d)

10!

The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is

(a)

⁵²C₅

(b)

⁴⁸C₅

(c)

⁵²C₅ + ⁴⁸C₅

(d)

⁵²C₅ - ⁴⁸C₅

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

(a)

2 \(\times\) ¹¹ C₇+¹⁰C₈

(b)

¹¹C₇+¹⁰C₈

(c)

¹²C₈-¹⁰C₆

(d)

¹⁰C₆+2!

10.

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

(a)

30⁴\(\times\) 29²

(b)

30³\(\times\) 29³

(c)

30²\(\times\) 29⁴

(d)

30\(\times\)29⁵

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(a)
6

(b)
192

(d)
185

(a)
r!

(a)
120

\(1.3 .5 \ldots .(2 n-1) =\frac{1.2 .3 .4 \ldots \ldots .(2 n-1)(2 n)}{2.4 \ldots . \ldots(2 n)} \)
\(=\frac{\lfloor 2 n}{2^{n}\lfloor n}=\left(\frac{1}{2}\right)^{n} \cdot{ }^{2 n} C_{n} \times{ }^{n} P_{n} \)

Number of 10 digit number that can be written by using the digits 2 and 3 is 2¹⁰

\({ }^{52} \mathrm{C}_{5} \text { includes all possibilities (zero king, }1 \text { king, } 2 \text { kings, } 3 \text { kings, } 4 \text { kings }){ }^{48} C_{5} \text { has no kings}\)
\(\text { Réquired possibilities }{ }^{52} \mathrm{C}_{5}-{ }^{48} \mathrm{C}_{5}\)

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

10.

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