Mannu goes for a walk daily & counts the steps using pedometer and notes them in a diary. One of his diary pages shows the record of a week in the month of September. His daily target was 9000 steps.
Monday
9490 steps
Tuesday 5^4×2^4 steps
Wednesday 6264 steps
Thursday 2^6×5^3 steps
Friday 11435 steps
Saturday steps
Q:1 How many days did he achieve the daily target?
……………………………………………………………………………..
Q2: After approximation and rounding off the daily steps to nearest 100, the maximum and minimum values among the approximations will be?
Max value = 10500, Min value = 4000
Max value = 12000, Min value = 3500
Max value = 11400, Min value = 4500
Max value = 11500, Min value = 4700
Q3: What is ratio of steps taken for Tuesday and Thursday?
5:4
4:25
125:8
5:16
Q4: Find the average steps he walked in a week.
…………………………………………………………………………….
Q5: How many more steps he should take on so that his daily average steps for the week will be 9000?
………………………………………………………………………………………………………..
Answers
Answer :-
→ Steps on Monday = 9490 > 9000 => Target achieved.
→ Steps on Tuesday = 5⁴ * 2⁴ = 625 * 16 = 10000 > 9000 => Target achieved.
→ Steps on Wednesday = 6264 < 9000 => Target not achieved .
→ Steps on Thursday = 2⁶ * 5³ = 64 * 125 = 8000 < 9000 => Target not achieved .
→ Steps on Friday = 11435 > 9000 => Target achieved.
→ Steps on Saturday = 4538 < 9000 => Target not achieved .
Q:1 How many days did he achieve the daily target ?
Answer :-
- Monday .
- Tuesday .
- Friday .
so, 3 days he achieved the daily target .
Q2: After approximation and rounding off the daily steps to nearest 100, the maximum and minimum values among the approximations will be ?
A)Max value = 10500, Min value = 4000
B) Max value = 12000, Min value = 3500
C) Max value = 11400, Min value = 4500
D) Max value = 11500, Min value = 4700
Answer :-
→ Maximum value = 11435 => Rounding off to nearest 100 = 11400 .
→ Minimum value = 4538 => Rounding off to nearest 100 = 4500 .
therefore, Option (C) Max value = 11400, Min value = 4500 is correct answer .
Q3: What is ratio of steps taken for Tuesday and Thursday ?
A) 5:4
B) 4:25
C) 125:8
D) 5:16
Answer :-
→ Steps on Tuesday : Steps on Thursday = 10000 : 8000 = 10 : 8 = 5 : 4 (A) (Ans.)
Q4: Find the average steps he walked in a week.
Answer :-
→ Average steps in a week = Total steps / 6 = (9490 + 10000 + 6264 + 8000 + 11435 + 4538) / 6 = 49727/6 ≈ 8288 steps (Ans.)
Q5: How many more steps he should take on so that his daily average steps for the week will be 9000 ?
Answer :-
→ More steps = 9000 - 8287 = 712 steps (Ans.)
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Mannu goes for a walk daily & counts the steps using pedometer and notes them in a diary. One of his diary pages shows the record of a week in the month of September. His daily target was 9000 steps.
Q:1 How many days did he achieve the daily target? *
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