Questions with Answers, Solution | Information Processing | Term 3 Chapter 5 | 6th Maths - Exercise 5.1 | 6th Maths : Term 3 Unit 5 : Information Processing
Chapter: 6th Maths : Term 3 Unit 5 : Information Processing
Exercise 5.1
Exercise 5.1
1.
Study and complete the following pattern
i)
1 × 1 = 1
11
× 11 = 121
111
× 111 = 12321
1111
× 1111 = ?
11111
× 11111 = ?
Answer:
i) 1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = 1234321
11111 × 11111 = 123454321
Answer:
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) 21/33 , 321/444 , 4321
/5555, …
Answer:
i) 50,51, 53, 56, 60,...
50, 51, 53, 56, 60, 65, 71, 78.
ii) 77, 69, 61, 53, ...
77, 69, 61, 53, 45, 37, 29.
iii) 10, 20, 40, 80, ...
10, 20, 40, 80, 160, 320, 640.
iv) 21 / 33, 321 / 444, 4321 / 5555
21/33, 321/444, 4321/5555, 54321 / 66666, 654321 / 777777, 7654321 / 8888888
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.
Answer:
i) 1 + 3 = 4 : 5 – 1 = 4
ii) 1 + 3 + 8 = 12 : ? 13 − 1 = 12
iii) 1 +3 + 8 + 21 = 33 : ? 34 − 1 = 33
iv) ? 1 + 3 + 8 + 21 + 55 = 88 : ? 89 − 1 =
88
4.
Complete the following patterns.
Answer:
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
Answer:
i) 25 and 35
H.C.F. of 25 and 35
25 = 5 × 5
35 = 5 × 7
H.C.F. of 25 and 35
= 5
H.C.F. of (25, 35 − 25)
25 = 5 × 5
10 = 2 × 5
H.C.F. of (25, 10)
= 5
∴ H.C.F of 25 and 35 = H.C.F of (25, 35 − 25)
ii) 36 and 12
H.C.F. of 36 and 12
36 = 2 × 2 × 3 × 3
12 = 2 × 2 × 3
H.C.F. of (12, 36 − 12)
12 = 2 × 2 × 3
24 = 2 × 2 × 2 × 3
H.C.F. of (12, 24) = 2 × 2 × 3 = 12 
H.C.F of 36 and 12 = 2 × 2
× 3 = 12
∴ H.C.F of 36 and 12 =
H.C.F of (12, 36 − 12)
iii) 15 and 29
H.C.F. of 15 and 29
15 = 3 × 5
29 = 1 × 29
H.C.F. of 15 and 29
= 1
H.C.F. of (15, 29 – 15)
15 = 3 × 5
14 = 2 × 7
H.C.F. of (15, 14)
= 1
∴ H.C.F of 15 and 29 =
H.C.F of (15, 29 − 15)
6.
Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding
their difference.
Answer:
H.C.F. of 48 and 28
48 = 2 × 2 × 2 × 2 × 3
28 = 2 × 2 × 7
H.C.F. of 48 and 28 = 2 × 2 = 4
H.C.F. of (48, 48 − 28)
48 = 2 × 2 × 2 × 2 × 3
20 = 2 × 2 × 5
H.C.F. of (48, 20) = 2 × 2 = 4
7.
Give instructions to fill in a bank withdrawal form issued in a bank.
(1) Write the date here
Date : 12−06−2019
(2) Write the account number in 15
digits
0 0 1 5 1 0 1 2 1 2 0 3 0 4 8
(3) Write the amount to be
withdrawn in words
Rupees ten thousand only
(4) Write the amount in number
₹ 10,000/−
(5) Write your name and address
A. Kannan
27, Navalar Nagar, S.S. Colony,
Madurai −16
(6) Sign here
8.
Arrange the name of your classmates alphabetically.
Answer:
1. AaliaFaiza .A
2. AashikaR.S.
3. Abarna.S
4. Akshaya .R
5. Amirtha .1
6. Ananthi .J
7. Bright Udhaya .T
8. Carolines. S
9. Darjana .K
10. Densy .M
11. Jasmine .D  
12. Jesmin.K
13. Mahima .P
14. Parameshwari .M
15. Priya .M
16. Revathi .R
17. Selcia .R
18. Sharon. S
19. Thanalakshmi .D
20. Thilaka .P
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 square, circle and triangle respectively.
Answer:
10.
Fill in the following information.
Answer:
Objective
Type Questions
11.
The next term in the sequence 15, 17, 20, 22, 25,... is
a) 28
b) 29
c) 27
d) 26
Answer: c) 27
12.
What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC,...
a) B
b) C
c) D
d) A
Answer: a) B
13.
The difference between 6th term and 5th term in the Fibonacci sequence is
a) 6
b) 8
c) 5
d) 3
Answer: d) 3
14.
The 11th term in the Lucas sequence 1, 3, 4, 7, ... is
a) 199
b) 76
c) 123
d) 47
Answer: a) 199
15.
If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is...
a) 26
b) 2
c) 54
d) 1
Answer: b) 2
ANSWERS:
Exercise 5.1
1. i) 1234321;
123454321 ii) 144, 60, 84, 36, 48, 15, 27
2. i) 65,71,78 ii)
45,37,29 iii) 160, 320, 640 iv) 54321/66666, 654321/777777, 7654321/8888888
3. ii) 12, 13-1=12
iii) 33, 34-1=33 iv) 1+3+8+21+55=88, 89-1=88
4.
5. i) 5 ii) 12 iii) 1
6. 4
9.
11. c) 27
12. a) B
13. d) 3
14. a) 199
15. b) 2
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