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All questions of Direct and Inverse Proportions for Class 8 Exam

A photograph of a bacteria enlarged 70000 times attains a length of 7 cm. What is the actual length of the bacteria?
  • a)
    103cm
  • b)
    10 -3cm
  • c)
    10-2cm
  • d)
    10-4cm
Correct answer is option 'D'. Can you explain this answer?

Anushka Shah answered
To find the actual length of the bacteria, we can use the concept of magnification. Magnification is the ratio of the size of an object under a microscope to its actual size.

Given:
Enlargement: 70000 times
Length of the photograph: 7 cm

We need to find the actual length of the bacteria.

Let's solve this step by step:

Step 1: Calculate the magnification factor
Magnification = Enlarged size / Actual size

In this case,
Enlarged size = Length of the photograph = 7 cm
Actual size = ?
Magnification = 70000

So, 70000 = 7 / Actual size

Step 2: Cross-multiply and solve for Actual size
70000 * Actual size = 7
Actual size = 7 / 70000

Step 3: Simplify the fraction
Actual size = 1 / 10000

Therefore, the actual length of the bacteria is 10^-4 cm.

Hence, the correct answer is option D) 10^-4 cm.

By working 8 hours a day Ankur can copy a book in 18 days. How many hours a day should he work so as to finish the work in 12 days?
  • a)
    10 hours
  • b)
    12 hours
  • c)
    14 hours
  • d)
    16 hours
Correct answer is option 'B'. Can you explain this answer?

Baishali Menon answered
No of working hrs per day = 8
No of days = 18
total working hrs = 8 x 18 = 144hrs

given time = 12hrs
so no of working hrs per day is = 144�12 = 12hrs

Therefore anu should work for 12 hrs a day in order to complete the work in 12 days

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