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Tag: Math practice

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Speed of the car

February 5, 2014 Leave a Comment

A wheel of car of radius 21 cm is rotating at 600 RPM. What is the speed of car in km/hr?

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The number of his ancestors

February 3, 2014 Leave a Comment

  A person has 2 parents 4 grandparents, 8 great-grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.

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the sum of squares of the roots of the equation

February 1, 2014 Leave a Comment

Find the value of ‘a’ such that the sum of squares of the roots of the equation x^2 – (a – 2)x – (a + 1) = 0 is least?

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In drilling world’s deepest hole

February 1, 2014 Leave a Comment

In drilling world’s deepest hole, it was found that the temperature T in degree Celsius, x km below the surface of Earth, was given by T = 30 + 25(x – 3) , 3 < x < 15. At what depth will the temperature be between 2000C and 3000C?

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The integral value of ‘k’

January 30, 2014 Leave a Comment

What is the integral value of ‘k’ for which the quadratic equation x^2 – 6 x + k = 0 have real and distinct roots?

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where 5A is an acute angle, find the value of A

January 28, 2014 1 Comment

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Distance of the foot of the ladder from the building

January 27, 2014 1 Comment

A ladder 25m long reaches a window of a building 20m above the ground. Determine the distance of the foot of the ladder from the building.

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Find the value of ‘θ’

January 25, 2014 Leave a Comment

If sin 5θ = cos 4θ, where 5 θ and 4 θ are acute angles, find the value of ‘θ’.

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Where θ is an acute angle

January 25, 2014 Leave a Comment

Find ‘θ’ , if sin(θ + 360) = cos θ, where θ + 360 is an acute angle.

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The length of the ladder

January 24, 2014 1 Comment

A ladder is placed in such a way that its foot is at a distance of 5m from a wall and its tip reaches a window 12m above the ground. Determine the length of the ladder.

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