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Q1.
Match
a) - 2)
b) - 4)
c) - 1)
d) - 5)
e) - 3)
Q2.
HCF 15,45 and 95
15 = 3×5
45 = 3×3×5
95 = 5×19
5 is common in 15,45 and 95
Therefore,
HCF of 15,45 and 95=5 :Ans
Q3.
The no. is divisible by 5 and 12. Since 5 and 12 are co-prime nos. so the no. must be divisible by the product 5×12=60. so, the given no. will always be divisible by 60. :Ans
Q4.
first write from above picture
Therefore,
Prime factorization of 480=2×2×2×2×2×3×5:Ans
Q5.
HCF 398,468 and 702
398 = 2×199
468 = 2×2×3×3×13
702 = 2×3×3×3×13
2 is common in 398,468 and 702
Therefore,
HCF of 398,468 and 702 = 2 :Ans
Q6.
HCF 18,27,36 and 63
18 = 2×3×3
27 = 3×3×3
36 = 2×2×3×3
63 = 3×3×7
3 is common in 18,27,36 and 63
Therefore,
HCF of 18,27,36 and 63 = 3 :Ans
Q7.
First we have to find LCM of 4,7,12 and 84
4 = 2×2
7 = 7
12 = 2×2×3
84 = 2×2×3×7
LCM OF 4,7,12 and 84= 2×2×3×7= 84
84sec = 1min 24sec
Therefore,
The bells will again ring together 84sec after
6a.m. : Ans
Q8.
To find ans. we have to find HCF of 825,675 and 450
825=3×5×5×11
675=3×3×3×5×5
450=2×3×3×5×5
HCF of 825,675 and 450= 3×5×5=75
Therefore,
75 cm is the longest tape which can measure the three dimensions of the room :Ans
Q9.
let a and b the two nos.
LCM(a,b) × HCF(a,b) = product of two nos.
108×HCF = 972
HCF= 972/108
HCF= 9 :Ans
Q10.
Let a and b the two nos.
and a=75
LCM(a,b) × HCF(a,b) = a×b
525×25=75×b
13125=75b
13125/75=b
175=b :Ans
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