Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Additional Questions
Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Additional Questions
Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Additional Questions
Question 1.
Find HCF of 52 and 78 using repeated division.
Solution:
26 is the HCF of 52 & 78
Question 2.
Find HCF of 56 & 98 using repeated subtraction method.
Solution:
Let m = 98, n = 56
m – n = 98 – 56 = 42 ; now m = 56 & n = 42
m – n = 56 – 42 = 14 ; now m = 42 & n = 14
m – n = 42 – 14 = 28 ; now m = 14 & n = 28
m – n = 28 – 14 = 14 ; now = 14 & n = 14
∴ HCF of 98 & 56 is 14.
Question 3.
Find the first 10 terms of the Fibonacci series.
Solution:
Let us first write down the first 2 terms which are 1, 1. To find the remaining terms, we use the general formula. F(n) = F(n – 1) + F(n – 2)
∴ F(3) = F(2) + F(1)
F(1) = 1; F(2) = 1
F(3) = 1 + 1=2
F(4) = F(3) + F(2) = 2 + 1 = 3
F(5) = F(4) + F(3) = 2 + 3 = 5
∴ The first 10 terms are; 1, 1, 2, 3, 5, 8,13, 21, 34, 55
Question 4.
In a particular method of decoding, the word SECRET is written as TFDSFU. What is the cipher text for PASSWORD?
Solution:
Given that SECRET is written as TFDSFU. We notice that every letter is substituted by the next letter alphabetically.
So S is substituted by T
E by F, C by D, R by S E by F, & T by U
∴ for
similarly we have to substitute
∴ The cypher is QBTTXPSE.
Question 5.
Using the Pigpen code, decode the below message
Solution:
The pigpen code is generated by
By taking the outlines corresponding to each letter, we get
∴ The message is THANK YOU
Question 6.
Using the reflection table given below, find the encoded message Reflection table.
Message: PBATENGHYNGVBAF
Solution:
To decode the above message, let us substitute the letters that correspond’to the message from the reflection table. So, we get
P → C
B → O
A → N
T → G
E → R
N → A
G → T
H → U
Y → L
N → A
G → T
V → l
B → O
A → N
F → S
The word is CONGRATULATIONS!