Question
Draw a rectangle ABCD such that l(AB) = 6.0 cm and l(BC) = 4.5 cm.
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A grocer purchased 200kg of rice at Rs 25/kg. He sold 80kg of it at a gain of 10% and 40kg at a loss of 4%. At what rate/kg should he sell the remainder to gain 8% on his total investment?
Draw a histogram for the frequency distribution of following data:
|
Class interval
|
20-25
|
25-30
|
30-35
|
35-40
|
40-45
|
45-50
|
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Frequency
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30
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24
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52
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28
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46
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10
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Solve the following equation and also check your result in case:
$\Big[(2\text{x}+3)+(\text{x+5})\Big]^2+\Big[(2\text{x}+3)-(\text{x}+5)\Big]^2=10\text{x}^2+92$
→$\Big[(2\text{x}+3)+(\text{x+5})\Big]^2+\Big[(2\text{x}+3)-(\text{x}+5)\Big]^2=10\text{x}^2+92$
In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).
In each pair of triangles in the following figures, parts bearing identical marks are congruent. State the test and correspondence of vertices by which triangles in each pair are congruent.
ii.
iii.
ii.
iii.
iv
Solve the following equation and also check your result in case:
$\frac{0.5(\text{x} - 0.4)}{0.35}-\frac{0.6(\text{x - 2.71})}{0.42}=\text{x}+6.1$
→$\frac{0.5(\text{x} - 0.4)}{0.35}-\frac{0.6(\text{x - 2.71})}{0.42}=\text{x}+6.1$
A and B can do a piece of work in 6 days and 4 days respectively. A started the work; worked at it for 2 days and then was joined by B. Find the total time taken to complete the work.
Show the number √5 on the number line.
In a quadrilateral ABCD, CO and DO are the bisectors of $\angle\text{C}$ and $\angle\text{D}$ respectively. Prove that $\angle\text{COD}=\frac{1}{2}(\angle\text{A}+\angle\text{B})$.
→Mother is 25 years older than her son. Find son's age, if after 8 years ratio of son's age to mother's age will be $\frac{4}{9}$.
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