Represent the following situation in the form of quadratic equat

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 Multiple Choice QuestionsShort Answer Type

91. Represent the following situation in the form of quadratic equation and find solutions. 
A train covers a distance of 300 km at a certain average speed. If its speed were increased by 5 km/hour, the journey would take 2 hour less.
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92. Represent the following situation in the form of quadratic equation and find solutions. 
We need to find the two consecutive natural numbers, the sum of whose square is 181.
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93. Represent the following situation in the form of quadratic equation and find solutions. 
The sum of a number and its square is 240.
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94. Represent the following situation in the form of quadratic equation and find solutions. 
The sides of a right-angled triangle are (x – 1), x and (x + 1). 
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95. Represent the following situation in the form of quadratic equation and find solutions. 
The product of two successive multiples of 5 is 300.
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96. Represent the following situation in the form of quadratic equation and find solutions. 
Rs. 250 are divided equally among a certain number of children. If there were 25 children more, each would have received 50 paise less.
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97. Represent the following situation in the form of quadratic equation and find solutions. 
We need to know the two positive odd integers, sum of whose squares is 290.
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98. Represent the following situation in the form of quadratic equation and find solutions. 
The sum of the squares of two consecutive natural numbers is 313. Find the numbers.


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99. Represent the following situation in the form of quadratic equation and find solutions. 
The sum of n successive odd natural numbers starting from 3 is 48.
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100. It is possible to find two consecutive integers whose product is 72. If so, find the integers.
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