Exercise 5.2 - Chapter 5 Information Processing Term 3 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Ex $5.2$
Miscellaneous Practice problems
Question 1 .
Find HCF of 188 and 230 by Euclid's game.
Solution:
By Euclid's game HCF $(a, b)=\operatorname{HCF}(a, a-b)$ if $a>b$.
Here HCF $(188,230)=$ HCF $(230,-188)$ because $230>188$
$=\mathrm{HCF}(188,42)=\mathrm{HCF}(146,42)$
$=\operatorname{HCF}(104,42)=\operatorname{HCF}(62,42)$
$=\mathrm{HCF}(42,20)=\mathrm{HCF}(22,20)$
$=\operatorname{HCF}(20,2)=\operatorname{HCF}(18,2)=2$
$\therefore \operatorname{HCF}(230,188)=2$

Question 2 .
Write the numbers from 1 to 50 . From that find the following.
(i) The numbers which are neither divisible by 2 nor $7 .$
(ii) The prime numbers between 25 and 40 .
(iii) All square number upto 50 .
Solution:
(i) $9,11,13,15,17,19,23,25,27,29,31,33,37,39,41,43,45,47$
(ii) $29,31,37$
(iii) $1,4,9,16,25,36,49$

Question $3 .$
Complete the following pattern

Question $4 .$
Complete the table by using the following instructions.
$\mathrm{A}$ : It is the 6th term in the Fibonacci sequence.
B : The predecessor of 2 .
C : LCM of 2 and 3 .
D: HCF of 6 and 20 .
$\mathrm{E}$ : The reciprocal of $1 / 5$.
$F$ : The opposite number of $-7$.
$\mathrm{G}$ : The first composite number.
$\mathrm{H}$ : Area of a square of side $3 \mathrm{~cm}$.
I : The number of lines of symmetry of an equilateral triangle. After completing the table, what do you observe?
Discuss.

Solution:
A: 6 th term in Fibonacci sequence is 8 .
B : Predecessor of 2 is $1 .$
$\mathrm{C}: \mathrm{LCM}$ of 2 and 3 is 6 .
D: HCF of 6 and 20 is $2 .$
E : Reciprocal of $\frac{1}{5}$ is $5 .$
F: Opposite number of $-7$ is $7 .$
$\mathrm{G}$ : The first composite number is $4 .$
$\mathrm{H}$ : Area of square of side $3 \mathrm{~cm}$ is $3 \times 3=9 \mathrm{~cm}^{2}$.
I: The number of lines of symmetry of an equilateral triangle is $3 .$
$\therefore$ The table becomes

Question 5 .
Assign the number for English alphabets as 1 for A, 2 for B upto 26 for Z.
Find the meaning of 

Question 6 .
Replace the letter by symbols as $+$ for $A,-$ for $B, \times$ for $C$ and $\div$ for $D$. Find the answer for the pattern $4 \mathrm{~B} 3 \mathrm{C} 5 \mathrm{~A} 30 \mathrm{D} 2$ by doing the given operations.
Solution:
4
 

Question $7 .$
Observe the pattern and find the word by hiding the numbers
1H2O3W 4A5R6E 7Y809U?
Solution:
When hiding the numbers we get

Question 8.

Arranging from eldest to the youngest. What do you get

Solution:
Arranging from eldest to the youngest we get
$\mathrm{F}$ - refers to grandparents
A - refers to parents
$\mathrm{M}$ - refers to uncle
I - refers to elder sister
$\mathrm{L}$-refers to me
$\mathrm{Y}$ - refers to younger brother
So we get FAMILY

Challenge Problems

Question $9 .$
Prepare a daily time schedule for evening study at home.
Solution:
$5.30 \mathrm{pm}$ - arrival
$5.30 \mathrm{pm}-6.30 \mathrm{pm}$ - Tea, Tv programme
$6.30 \mathrm{pm}-7.30 \mathrm{pm}$ - Maths
$7.30 \mathrm{pm}-8.30 \mathrm{pm}$ - Supper, Tv news
$8.30 \mathrm{pm}-9.00 \mathrm{pm}-$ English
$9.00 \mathrm{pm}-9.30 \mathrm{pm}$ - Science
$9.30 \mathrm{pm}-10.00 \mathrm{pm}$ - Social science
$10.00 \mathrm{pm}$ - Going to bed.
 

Question 10 .
Observe the geometrical pattern and answer the following questions

i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it.
Solution:
Number of sticks used in first pattern $=3$
Number of sticks in second pattern $=9$
Number of sticks in third pattern $=18$
ii) Next pattern

Question 11.

Find HCF of 28y, 35, 42 by Euclid’s game.

Solution:

Here $42>35>28$
By Euclid's game HCF $(28,35,42)=\mathrm{HCF}(28,42-35,42-28)$
$\begin{aligned}
&=\operatorname{HCF}(28,14,7) \\
&=\operatorname{HCF}(14,7,7)=7 \\
\therefore \quad \operatorname{HCF}(28,35,42) &=7
\end{aligned}$

Question $12 .$
Follow the given instructions to fill your name in the OMR sheet.
* The name should be written in capital letters from left to right.
* One alphabet is to be entered in each box.
* If any empty boxes are there at the end they should be left blank.
* Ball point pen is to be used for shading the bubbles for the corresponding alphabets.

Question $13 .$
Consider the Postal Index Number (PIN) written on the letters as follows: $604506 ; 604516 ; 604560 ; 604506 ;$ $604516 ; 604516 ; 604560 ; 604516 ; 604505 ; 604470 ; 604515 ; 604520 ; 604303 ; 604509 ; 604470$. How the letters can be sorted as per Postal Index Numbers?
Solution:
604 is common for all postal index numbers. Compare the remaining 3 digits, $303,470,505,506$ (two) 509,510 . 515,516 (Four), 520,560 (two).