Algebra Moderate

Algebra

Algebra - Moderate

Write appropriate equations in 3 variables and solve

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Category: Moderate

In the following figure, if the sum of all the numbers in each row,    column and diagonal is same, then the respective values of x, y    and z are ?

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Category: Moderate

A quadratic equation has roots that differ by 2. If the equation is of the form x^2 + px + q = 0 and the sum of the roots is -5, find the values of p and q.

 

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Category: Moderate

The sum of the squares of two numbers is 74, and their product is 35. Find the two numbers.

 

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Category: Moderate

The difference between two numbers is 5, and the difference between their squares is 145. Find the numbers.

 

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Category: Moderate

A car travels a distance of 300 km. If the speed had been 10 km/h more, the car would have taken 1 hour less to cover the distance. What was the original speed of the car?

 

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Category: Moderate

A shopkeeper sells 25 articles at ₹80 each and makes a loss equal to the cost price of 5 articles. Find the cost price of each article.

 

Polynomial has terms of the type axn  n being 0, 1, 2 ….

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Category: Moderate

Which of the following is a polynomial ?

A Polynomial of degree n has n solutions

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Category: Moderate

The number of zeroes of a quadratic equation ?

Remainder when polynomial f(x) is divided by (x – a) is f(a)

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Category: Moderate

The remainder when x3 + 2x2 + 3x + 4 divided by (x-1)  is ?

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