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MATHS [3 marks sum]

Linear Equations · ICSE STD 8 (ICSE - English Medium). 5 questions.

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[3 marks sum]

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5 questions · timed · auto-graded

Question 13 Marks
A certain number of candidates appeared for an examination in which one-fifth of the whole plus 16 secured first division, one-fourth plus 15 secured second division and onefourth minus 25 secured third division. If the remaining 60 candidates failed, find the total number of candidates appeared.
Answer
220
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Question 23 Marks
The distance between two stations is 300 km . Two motor-cyclists start simultaneously from these stations and move towards each other. The speed of one of them is $7 km / hr$ faster than that of the other. If the distance between them after 2 hours of their start is 34 km , find the speed of each motor-cyclist.
Answer
$63 km / hr , 70 km / hr $
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Question 33 Marks
The length of a rectangle is 7 cm less than twice its breadth. If the length is decreased by 2 cm and breadth increased by 3 cm , the perimeter of the resulting rectangle is 66 cm . Find the length and breadth of the original rectangle.
Answer
$19 cm, 13 cm \quad$
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Question 43 Marks
The length of a rectangular plot of land exceeds its breadth by 23 m . If the length is decreased by 15 m and the breadth is increased by 7 m , the area is reduced by $360 m^2$. Find the length and breadth of the plot.
Answer
$75 m, 52 m$
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Question 53 Marks
A number is subtracted from the numerator of the fraction $\frac{12}{13}$ and six times that number is added to the denominator. If the new fraction is $\frac{1}{11}$, then find the number.
Answer
7
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[3 marks sum] - MATHS STD 8 Questions - Vidyadip