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Mathematics Mcqs — Test 51

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Question 1
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Question 2
One root of the quadratic equation x2 – 12x + a = 0, is thrice the other. Find the value of a?
Question 3
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
Question 4
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Question 5
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Question 6
Find the roots of the quadratic equation: x2 + 2x – 15 = 0?
Question 7
Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?
Question 8
The roots of the equation 3x2 – 12x + 10 = 0 are?
Question 9
If the roots of a quadratic equation are 20 and -7, then find the equation?
Question 10
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?