Question : The ratio of the length of a school ground to its width is 5 : 2, if the width is 40 m then the length is:
Option 1: 200 m
Option 2: 100 m
Option 3: 50 m
Option 4: 80 m
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Correct Answer: 100 m
Solution : Let the length of the ground be $l$ m. Width = $w$ = 40 m (given) $\frac{l}{w} = \frac{5}{2}$ ⇒ $\frac{l}{40} = \frac{5}{2}$ ⇒ $l = \frac{5\times 40}{2}$ $\therefore l = 100 $ m Hence, the correct answer is 100 m.
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Question : The smallest among the numbers $2^{250},3^{150},5^{100}$, and $4^{200}$ is:
Option 1: $4^{200}$
Option 2: $5^{100}$
Option 3: $3^{150}$
Option 4: $2^{250}$
Question : The breadth of a rectangular floor is $\frac{3}{5}$ of its length. If the area of the floor is 60 m², then what is the difference between the length and breadth of the floor?
Option 1: 6 m
Option 2: 7.5 m
Option 3: 5 m
Option 4: 4 m
Question : The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is $40\sqrt2$ cm. If the length of the diagonals of the rhombus is in the ratio $3:4$, then its area ( in cm2) is:
Option 1: 1550
Option 2: 1600
Option 3: 1535
Option 4: 1536
Question : $\triangle \mathrm{RMS}$ is right-angled at M. The length of the base, RM = 4 cm and the length of perpendicular MS = 3 cm. Find the value of $\sec R$.
Option 1: $\frac{3}{4}$
Option 2: $\frac{5}{4}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{2}{5}$
Question : 50% of A is equal to 80% of B. What is the ratio of A to B?
Option 1: 5 : 8
Option 2: 5 : 4
Option 3: 4 : 5
Option 4: 8 : 5
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