Exercise 2.2 - Chapter 2 Numbers Term 2 5th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated On May 15, 2024

By SaraNextGen

$\operatorname{Ex} 2.2$
Question 1.
Choose the best answer:
(i) The number divisible by 5 with no remainder
(a) 14
(b) 535
(c) 447
(d) 316
Answer:
(b) 535
(ii) Pick the number which is not a multiple of 6 .
(a) 18
(b) 26
(c) 72
(d) 36
Hint:
(a) $18=6 \times 3$
(c) $72=8 \times 9$
(d) $36=6 \times 6$
Answer:
(b) 26
(iii) The common multiple of 4 and 8 among the given number is.
(a) 32
(b) 84
(c) 68
(d) 76
Hint:
Multiples of $4=4,8,12,16,20,24,28,32,36,40 \ldots$
Multiples of $8-8,16,24,32,40,48,56,64, \ldots$
Common multiples of 4,8 is $8,16,24,32,40, \ldots$
Answer:
(a) 32

(iv) Factors of 6
(a) $1,2,3$
(b) 1,6
(c) $1,2,3,6$
(d) 2,3
Hint: Multiple of 9 are $9,18,27,36,45,54,63,72,81,90, \ldots \ldots . .$
Answer:
(c) $1,2,3,6$
(v) Multiple of 9 is
(a) 79
(b) 87
(c) 29
(d) 72
Hint: Multiple of 9 are $9,18,27,36,45,54,63,72,81,90, \ldots \ldots$
Answer:
(d) 72
Question 2.
Fill in the blanks:
Question 1.
Factors of 7
Answer:
1,7

Question $2 .$
The only even prime number is
Answer:
1,2

Question $3 .$
L.C.M of 4,12
Answer:
12

Question $4 .$
L.C.M of 5, 15
Answer:
15
 

Question $5 .$
The numbers which divides 35 without reminders are
Answer:
$1,5,7$
 

Question $3 .$
Write down the factors of the given numbers.
(i) 25
(ii) 36
(iii) 14
(iv) 16
(v) 12
Answer:
(i) 25
Factors of 25 is 1,5, 25
(ii) 36
Factors of 36 is $1,2,3,4.6,9,12,18,36$
(iii) 14
Factors of 14 is $1,2,7,14$
(iv) 16
Factors of 16 is $1,2,4,8,16$
(v) 12
Factors of $1,2,3.4,6,12$
 

Question $4 .$
Draw a picture of factor tree.

(i) 18
(ii) 33
(iii) 16
(iv) 50
Answer:

Question $5 .$
Write down the first 5 multiples of the given numbers.
(i) 7
(ii) 9
(iii) 16
(iv) 11
(v) 21
Answer:
(i) 7
$=7$ Multiple of $7-7,14,21,28,35$
(ii) 9
$=9$ Multiple of $9-9,18,27,36,45$
(iii) 16
$=16$ Multiple of $16-16,32,48,64,80$
(iv) 11
$=11$ Multiple of 11 is $11,22,33,44,55$
(V) 21
$=21$ Multiple of 21 is $21,42,63,84,105$
 

Question $6 .$
Find first three common multiples of the given numbers.
(i) 24,16
(ii) 12,9
(iii) 24,36
Answer:
(i) 24,16
Multiples of $24=24,48,72,96,120,144,168,192,216,240,264$
Multiples of $16=16,32,48,64,80,96,112,128,144,160,176,192.208,224,240,256$
Common multiples of 24 and 16 is $48,96,144,192,240$

(ii) 12,9
Multiples of $12=12,24,36,48,60,72,84,96,108,120$,
Multiples of $9-9,18,27,36,45,54,63,72,81,90,99,108,117$
Common multiples of 12 and 9 is $36,72,108$
(iii) 24,36
Multiples of $24=24,48,72,96,120,144,168,192,216$,
Multiples of $36=36,72,108,144,180,216$
Common multiples of 24 and 36 is $72,144,216$
 

Question $7 .$
Find L. C.M of the given numbers.
(i) 12 and 28
(ii) 16 and 24
(iii) 8 and 14
Answer:
(i) 12 and 28
Multiples of $12=12,24,36,48,60,72,84,96,108,120,132,144,156,168,180$
Multiples of $28=28,56,84,112,140,168,196, \ldots \ldots$
Common multiples of 12 and 28 is $84,168, \ldots \ldots .$
LCM is 84
(ii) 16 and 24
Multiples of $16=16,32,48,64,80,96,112,128,114, \ldots \ldots$
Multiples of $24=24,48,72,96,120,144, \ldots \ldots$
Common multiples of 16 and 24 is $48,96,144, \ldots . \ldots .$
LCM is 48

(iii) 8 and 14
Multiples of $8=8,16,24,32,4048,56,64,72,80,88,96,104,112, \ldots$
Multiples of $14=14,28,42,56,70,8498112 \ldots . .$
Common multiples of 8 and 14 is $56,112, \ldots \ldots$.
(iv) 30 and 20
Multiples of $30=30,60,90,120,150,180,210,240,270, \ldots$
Multiples of $20=20,40,60,80,100,120,140,160,180, \ldots$
Common multiples of 30 and 20 is $60,120,180$
LCM of 30 and 20 is $60 .$
 

Question $8 .$
Ramya visits the gym five days once and Kavitha visits the gym six days once. In which day will they meet each other?
Answer:
Multiples of $5=5,10,15,20,25,30,35,40,45,50,55,60,65, \ldots$
Multiples of $6-6,12,18,24,30,36,42,48,54,60,66, \ldots$
Common multiples of 5 and 6 is 30,60
LCM of 5 and 6 is 30 .

Question $9 .$
Arun and shahjahan goes for walking in a circular path of a park in the same direction. Arun takes 6 minutes to complete one round, while shahjahan takes 8 minutes to completed one round. In how many minutes will they meet each other?
Answer:
Multiples of $6=6,12,18,24,30,36,42,48,54, \ldots$
Multiples of $8=8,16,24,32,40,48,56,64, \ldots$
Common multiples of 6 and 8 is $24,48, \ldots$
LCM of 6 and 8 is 24 .
They will meet each other after 24 minutes.