Question:
What is the number that is one half of one quarter of one tenth of 400?
What is the number that is one half of one quarter of one tenth of 400?
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Work the divisions in order: tenth, then quarter, then half of the previous result.
Updated On: Jul 15, 2026
- 2
- 5
- 8
- 10
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The Correct Option is B
Solution and Explanation
Step 1: Find one tenth of 400.
One tenth of 400 is \(\dfrac{400}{10} = 40\).
Step 2: Find one quarter of that result.
One quarter of 40 is \(\dfrac{40}{4} = 10\).
Step 3: Find one half of that result.
One half of 10 is \(\dfrac{10}{2} = 5\).
Step 4: Match with the options.
The final value is 5, which is option (2). Option (1), 2, and options (3) and (4), 8 and 10, would require dividing 400 by 200, 50 or 40 respectively, none of which matches dividing by 2, then 4, then 10 in the order the question describes, so they do not fit the direct reading of the question.
One tenth of 400 is \(\dfrac{400}{10} = 40\).
Step 2: Find one quarter of that result.
One quarter of 40 is \(\dfrac{40}{4} = 10\).
Step 3: Find one half of that result.
One half of 10 is \(\dfrac{10}{2} = 5\).
Step 4: Match with the options.
The final value is 5, which is option (2). Option (1), 2, and options (3) and (4), 8 and 10, would require dividing 400 by 200, 50 or 40 respectively, none of which matches dividing by 2, then 4, then 10 in the order the question describes, so they do not fit the direct reading of the question.
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