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38 questions · timed · auto-graded

Question 12 Marks
A workman is paid $₹ 150$ for each day he works and is fined $₹ 50$ for each day he is absent. In a month of 30 days he earned ₹ 2100 . For how many days did he remain absent?
Answer
12 days.
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Question 22 Marks
A certain number of men can finish a piece of work in 50 days. If there are 7 more men, the work can be completed 10 days earlier. How many men were originally there?
Answer
28
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Question 32 Marks
Raman has three times as much money as Kamal. If Raman gives $₹ 750$ to Kamal, then Kamal will have twice as much as left with Raman. How much had each originally?
Answer
Kamal - ₹ 450 , Raman - ₹ 1350
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Question 42 Marks
The length of each of the equal sides of an isosceles triangle is 4 cm longer than the base. If the perimeter of the triangle is 62 cm , find the lengths of the sides of the triangle.
Answer
$22 cm, 22 cm, 18 cm$
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Question 52 Marks
A boat travels 30 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the rate of stream be 5 kmph , find the speed of the boat in still water.
Answer
$20 km / hr $
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Question 62 Marks
A motorist travelled from town $A$ to town $B$ at an average speed of $54 km / hr$. On his return journey, his average speed was 60 kmph . If the total time taken is $9 \frac{1}{2}$ hours, find the distance between the two towns.
Answer
$270 km$
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Question 72 Marks
A man made a trip of 480 km in 9 hours. Some part of the trip was covered at $45 km / hr$ and the remaining at $60 km / hr$. Find the part of the trip covered by him at $60 km / hr$.
Answer
300 km
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Question 82 Marks
A man is 56 years old and his son is 24 years old. In how many years, the father will be twice as old as his son at that time?
Answer
8 years
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Question 92 Marks
5 years ago, the age of Parvathi was 4 times the age of her son. The sum of their present ages is 55 years. Find Parvathi's present age.
Answer
41 years
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Question 102 Marks
A man is twice as old as his son. Twelve years ago, the man was thrice as old as his son. Find their present ages.
Answer
48 years, 24 years
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Question 112 Marks
A man is five times as old as his son. In two years time, he will be four times as old as his son. Find their present ages.
Answer
30 years, 6 years
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Question 122 Marks
The length of a rectangle is 7 cm more than its breadth. If the perimeter of the rectangle is 90 cm , find its length and breadth.
Answer
$26 cm, 19 cm$
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Question 132 Marks
The length of a rectangular park is twice its breadth. If the perimeter of the park is 186 m , find its length and breadth.
Answer
$62 m, 31 m$
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Question 142 Marks
The sum of the digits of a two-digit number is 9 . If 9 is added to the number formed by reversing the digits, then the result is thrice the original number. Find the original number.
Answer
27
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Question 152 Marks
A right angled triangle having perimeter 120 cm has its two perpendicular sides in the ratio $5: 12$. Find the lengths of its sides.
Answer
$20 cm, 48 cm, 52 cm$
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Question 162 Marks
The sum of two numbers is 110 . One-fifth of the larger number is 8 more than one-ninths of the smaller number. Find the numbers.
Answer
65,45
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Question 172 Marks
What same number should be added to each one of the numbers $15,23,29,44$ to obtain numbers which are in proportion?
Answer
1
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Question 182 Marks
The sum of the digits of a two-digit number is 5 . On adding 27 to the number, its digits are reversed. Find the original number.
Answer
14
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Question 192 Marks
The denominator of a fraction is 1 more than double the numerator. On adding 2 to the numerator and subtracting 3 from the denominator, we obtain 1 . Find the original fraction.
Answer
$\frac{4}{9}$
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Question 202 Marks
The denominator of a fraction is 4 more than its numerator. On subtracting 1 from each numerator and the denominator, the fraction becomes $\frac{1}{2}$. Find the original fraction.
Answer
$\frac{5}{9}$
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[2 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip