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Unitary Method — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSUnitary Method1 Mark
MCQ
Assertion (A): If 25 men can complete a work in 42 days then 30 men can complete the same work in 35 days.
Reason (R): More men at work, more is the work done.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
✓

Answer

Correct option: B.
 Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A). 
(b): 25 men can do the work in 42 days
1 men can do the work in $(42 \times 25)$ days [less men, more days]
30 men can do the work in $\frac{42 \times 25}{30}$ days $=35$ days [more men, less days].
$\therefore A$ is true.
R is also true because the work done varies directly as the number of men at work. So, more men at work, more is the work done.
But R is not the correct explanation of A .

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