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Hi there!
Here's the answer:
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9.
c)
¶¶¶ The least No. which when divided by x,y & z leaves remainder 'r' in each case is "LCM(x,y,z) + r".
Given,
No.s are 12, 15, 20
Remainder r= 3
• Find LCM
3 | 12, 15, 20
2 | 4, 5, 18
.• | 2, 5, 9
LCM = 2×2×5×3×9 = 20×27 = 540
•°• Required No. = 543
Verification :
543 - 12(45) = 543 - 540 = 3
543 - 15(36) = 543 - 540 = 3
543 - 20(27) = 543 - 540 = 3
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10.
a)
Triangles : 4
PQS, PSR, PRT, PQR
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b)
357.4 - 217.458 + 49.76
= (357.4 + 49.76) - 217.458
= 407.16 - 217.458
= 189.702
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c)
Typing speed of Uma = 18 words/30 sec
= 36 words/min
Given,
In a single sheet there are 540 words
No. of words in such 14 sheet = 14×540 = 7560
Time required to type 7560 words = ?
For 36 words, uma takes 1 min to type
For 7560 words, time taken to type is
7560/36 min = 210 min
1 Hr = 60 min
=> 1 min = 1/60 Hrs
•°• 210 min = 210 × (1/60) Hrs
= (7/2)Hrs
= 3.5 Hrs
= 3 Hrs & (0.5×60) min
= 3 Hrs and 30 min
= 3 1/2 Hrs
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
Hope it helps
Here's the answer:
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
9.
c)
¶¶¶ The least No. which when divided by x,y & z leaves remainder 'r' in each case is "LCM(x,y,z) + r".
Given,
No.s are 12, 15, 20
Remainder r= 3
• Find LCM
3 | 12, 15, 20
2 | 4, 5, 18
.• | 2, 5, 9
LCM = 2×2×5×3×9 = 20×27 = 540
•°• Required No. = 543
Verification :
543 - 12(45) = 543 - 540 = 3
543 - 15(36) = 543 - 540 = 3
543 - 20(27) = 543 - 540 = 3
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
10.
a)
Triangles : 4
PQS, PSR, PRT, PQR
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
b)
357.4 - 217.458 + 49.76
= (357.4 + 49.76) - 217.458
= 407.16 - 217.458
= 189.702
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
c)
Typing speed of Uma = 18 words/30 sec
= 36 words/min
Given,
In a single sheet there are 540 words
No. of words in such 14 sheet = 14×540 = 7560
Time required to type 7560 words = ?
For 36 words, uma takes 1 min to type
For 7560 words, time taken to type is
7560/36 min = 210 min
1 Hr = 60 min
=> 1 min = 1/60 Hrs
•°• 210 min = 210 × (1/60) Hrs
= (7/2)Hrs
= 3.5 Hrs
= 3 Hrs & (0.5×60) min
= 3 Hrs and 30 min
= 3 1/2 Hrs
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•
Hope it helps
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