Question 1
A researcher counts cells in a section of human skin tissue under a microscope. Of the 250 cells observed, 200 are in interphase and 50 are in various stages of mitosis. What is the mitotic index of this tissue sample?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Approach 1Step 1: Identify the formula
The mitotic index is calculated as:
Step 2: Extract the values
The number of cells in mitosis = 50. The total number of cells = 250.
Step 3: Calculate
Step 4: State the answer
The mitotic index is 0.20, meaning 20% of cells are actively dividing.
Method #2Approach 2Step 1: Identify what is being asked
We need to find the mitotic index using cells in mitosis divided by total cells: .
Step 2: Eliminate 0.80
0.80 would result from , which is the fraction of cells in interphase, not mitosis. This is the wrong numerator.
Step 3: Eliminate 0.25
0.25 would result from — dividing by the number of interphase cells rather than the total. This is an incorrect denominator.
Step 4: Eliminate 4.00
4.00 would result from , which inverts the correct ratio and uses the wrong values. A mitotic index greater than 1 is impossible.
Step 5: Select the correct answer
0.20 is correct: , representing 20% of cells in active division.
Question 2
A student observes a cell under a microscope and notes the following: the nuclear envelope is absent, chromosomes are clearly visible and thickening, and a spindle is beginning to assemble. Which phase of mitosis is this cell in?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Approach 1Step 1: List the observable features
The cell shows: (1) nuclear envelope absent, (2) chromosomes condensing and becoming visible, (3) spindle beginning to form.
Step 2: Match features to a phase
Prophase is defined by chromosome condensation (chromatin → visible chromosomes), breakdown of the nuclear envelope, and assembly of the mitotic spindle.
Step 3: Confirm the identification
All three features match prophase perfectly. The chromosomes are still thickening (not yet maximally condensed for metaphase), and the spindle is only beginning to form, consistent with early-to-mid prophase.
Step 4: State the answer
The cell is in Prophase.
Method #2Approach 2Step 1: Identify what is being asked
We need to identify the mitotic phase from three key observations: no nuclear envelope, condensing chromosomes, and a forming spindle.
Step 2: Eliminate Metaphase
In Metaphase, chromosomes are fully condensed and aligned at the metaphase plate, and the spindle is complete — not 'beginning to assemble.' This does not match.
Step 3: Eliminate Telophase
In Telophase, the nuclear envelope is reforming (not absent) and chromosomes are decondensing. Both features are the opposite of what is described.
Step 4: Eliminate Anaphase
In Anaphase, sister chromatids are being pulled to opposite poles — they would appear as two separating groups. No chromosome movement is described here.
Step 5: Select the correct answer
Prophase matches all observations: nuclear envelope breakdown, chromosome condensation, and spindle assembly beginning.