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12 questions · timed · auto-graded

Question 12 Marks
A rod was cut into two pieces in the ratio $7: 5$. If the length of the smaller piece was 45.5 cm , then find the length of the longer piece.
Answer
63 .7 cm
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Question 22 Marks
An alloy is to contain copper and zinc in the ratio $9: 4$. Find the quantity of zinc to be melted with $2 \frac{2}{5} kg$ of copper, to get the desired alloy.
Answer
$1 \frac{1}{15} kg$
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Question 32 Marks
What number must be subtracted from each of the numbers $41,55,36,48$, so that the differences are proportional?
Answer
6
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Question 42 Marks
The area of two rectangular fields are in the ratio $5: 9$. Find the area of the smaller field if that of the larger field is 2331 sq. metres.
Answer
1295 sq. metres
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Question 52 Marks
A mixture consists of only two components A and B . In 60 litres of this mixture, the components A and B are present in the ratio $2: 1$. What quantity of component B has to be added to this mixture so that the new ratio is $1: 2$ ?
Answer
60 litres
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Question 62 Marks
The salaries of $A , B$ and C are in the ratio $2: 3: 5$. If the increments of $15 \%, 10 \%$ and $20 \%$ are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Answer
$23: 33: 60$
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Question 72 Marks
A sample of vinegar was prepared by dissolving 705 ml of acetic acid in 4.7 litres of water. Find the ratio by volume of acetic acid to water in this sample.
Answer
$3: 20$
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Question 82 Marks
The present ages of Mr. Sen and his son are in the ratio 17:9. If the ratio of their ages, 9 years ago was $7: 3$, then find their present ages.
Answer
Mr. Sen's age $=51$ years, Son's age $=27$ years
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Question 92 Marks
The sum of three numbers is 212 . If the ratio of the first to the second is $13: 16$ and that of the second to the third is $2: 3$, then find the numbers.
Answer
$52,64,96$
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Question 102 Marks
The ratio of number of boys to the number of girls in a school of 1440 students is $7: 5$. If 40 new boys are admitted, find how many new girls may be admitted to make this ratio $4: 3$.
Answer
60
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Question 112 Marks
A certain sum of money is divided among $A, B, C$ in the ratio $5: 6: 7$. If A's share is $₹ 175$, find the total amount and the share of each one of B and C .
Answer
Total amount $=₹ 630$, B's share $=₹ 210$, C's share $=₹ 245$
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Question 122 Marks
Two numbers are in the ratio $6: 11$. On adding 2 to the first and 7 to the second, their ratio becomes $8: 15$. Find the numbers.
Answer
78, 143
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[2 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip