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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 5 Information Processing Ex 5.1

Question 1.

Study and complete the following pattern.

Solution:

Question 2.

Find next three numbers in the following number patterns,

i) 50, 51, 53, 56, 60,…

ii) 77, 69, 61, 53,…

iii) 10, 20, 40, 80, …..

iv) \(\frac{21}{33}, \frac{321}{444}, \frac{4321}{5555}\)

Solution:

i) The pattern generating these numbers is

50, 50 + 1, 51 + 2, 53 + 3, 56 + 4, 60 + 5, 65 + 6, 71 + 7,

∴ 50, 51, 53, 56, 60, 65, 71, 78, ……

∴ The next three numbers will be 65, 71, 78

ii) The pattern generating these numbers is

77, 77 – 8, 69 – 8, 61 – 8, 53 – 8, 45 – 8, 37 – 8, 29

77, 69, 61, 53, 45, 37, 29, 21,

∴ The next three numbers will be 45, 37, 29.

iii) The pattern generating these numbers is

10, 10 + 10, 20 + 20, 40 + 40, 80 + 80, 160 + 160, 320 + 320,….

10, 20, 40, 80, 160, 320, 640,….

∴ The next three numbers will be 160, 320, 640.

iv) The pattern generating these numbers is

Question 3.

Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,… Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Solution:

Question 4.

Complete the following patterns.

Solution:

Rotate the figure 90°C clockwise to get the next figure.

Solution:

* Move the circled arrow to each comer clockwise and place the square to the opposite comer of the arrow, in first row.

* Copy the first row in the second row.

Solution:

Rotate the arrow inside the square 90° anticlockwise direction so that the arrow pointing each comer anticlockwise.

Question 5.

Find HCF of the following pair of numbers by Euclid’s game.

(i) 25 and 35

(ii) 36 and 12

(iii) 15 and 29

Solution:

(i) 25 and 35

By Euclid’s game, HCF(a, b) = HCF (a, a – b), if a > b.

Here 35 > 25

∴ HCF (25, 35) = HCF (35, 25)

= HCF (15, 10) = HCF (10, 5)

= HCF (5, 5) = 5

∴ HCF (25, 35) = 5

(ii) 36and 12

By Euclid’s game

HCF (36, 12) = HCF (36 – 12, 12) = HCF (24, 12)

= HCF(12, 12) = 12

∴ HCF(36, 12) = 12

(iii) 15 and 29

Here 29 > 15

HCF (29, 15) = HCF (15, 29 – 15)

= HCF(15, 14) = HCF(14, 1) = 1

∴ HCF(29, 15) = 1

Question 6.

Find HCF of 48 and 28. Also, find the HCF of 48 and the number Obtained by finding their difference.

Solution:

Question 7.

Give instructions to fill in a bank withdrawal form issued in a bank.

Solution:

Instructions:

- Fill in the date of withdrawal.
- Fill in the account number in the proper place.
- Fill the branch of a bank.
- Fill in the Name of the account holder.
- Fill the amount to be withdrawn in words.
- Fill in the amount to be withdrawn in numbers.
- Put the signature of the account holder.

Question 8.

Arrange the name of your classmates alphabetically.

Solution:

Name of my classmates is given below.

- Akila
- Akshaya
- Bharathi
- Divya
- Ezhil
- Fathima
- Gayathri
- Helen
- Irusammal
- Joy
- Kaviya
- Lakshmi
- Monika
- Nisha
- Olin
- Patsy
- Queenlin
- Ratha
- Sindhu
- Vidhya

Question 9.

Follow and execute the instructions given below?

i) Write the number 10 in the place common to the three figures

ii) Write the number 5 in the place common for square and circle only.

iii) Write the number 7 in the place common for triangle and circle only.

iv) Write the number 2 in the place common for triangle and square only.

v) Write the numbers 12,14 and 8 only in the square, circle and triangle respectively.

Solution:

Question 10.

Fill in the following information.

Solution:

Objective Type Questions

Question 11.

The next term in the sequence 15, 17, 20, 22, 25, is

(a) 28

(b) 29

(c) 27

(d) 26

Solution:

(c) 27

Question 12.

What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC

(a) B

(b) C

(c) D

(d) A

Hint:

Write A, B, C with increasing number of A, B, and C

Solution:

(a) B

Question 13.

The difference between the 6th term and the 5th term in the Fibonacci sequence is

(a) 6

(b) 8

(c) 5

(d) 3

Solution:

(d) 3

Question 14.

The 11^{th} term in the Lucas sequence 1, 3, 4, 7,… is

(a) 199

(b) 76

(c) 123

(d) 47

Solution:

(a) 199

Question 15.

If the Highest Common Factor of 26 and 54 is 2, then the HCF of 54 and 28 is

(a) 26

(b) 2

(c) 54

(d) 1

Solution:

(b) 2