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Quadratic Equations

Short Answer Type

311. By increasing the list price of a book by Rs. 10 a person can buy 10 books less for Rs. 1.200. Find the original list price of the book.

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312. The hypotenuse of a right angled triangle is 6 cm more than twice of the shortest side. If the third side is 2 cm less than the hypotenuse, find the sides of the triangle.

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313. A passenger trian takes 2 hours less for a journey of 300 km, if its speed is increased by 5 km hour from its usual speed. Find its usual speed.

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314. The numerator of a fraction is one less than its denominator. If three is added to each of the numerator and denominator, the fraction is increased by

space 3 over 28.

Find the fraction.

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315. The difference of squares of two natural number is 45. The square of the smaller number is four times the larger number. Find the numbers.

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316. Find the roots of the following equations.

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317. In a class test, the sum of the marks obtained by p in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 less in Science, the product of marks obtained in the two subjects would have been 180. Find marks obtained in the two subjects seperated.

Solution not provided.
Ans. 9, 19 or 12, 16

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318. A motoboat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

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319. Two water taps together can fill the tank in

space 9 3 over 8 hours.

The tap of larger diameter takes 10 hr. less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

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Long Answer Type

320. A peacock is sitting on the tap of a pillar, which is 9 m high from a point 27 m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the hole is the the snake can got.

132 Views