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A polynomial in ‘x’ is divided by (x − a) and for (x − a) to be a factor of this polynomial, the remainder should be:
Radha deposited ₹400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is:
If the area of ∆APQ is 18 cm², then the area of shaded portion QPBC is:
In the adjoining diagram, the value of x is:
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The length of PR is:
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A solid sphere is cut into two identical hemispheres. Which of the following is valid?
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Given that the sum of the squares of the first seven natural numbers is 140, then their mean is:
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A bag contains 3 red and 2 blue marbles. The probability of drawing a black marble is:
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Study Notes
Question 1
- (i) For (𝑥 − 𝑎) to be a factor of a polynomial in 'x', the remainder must be 0.
- (ii) The qualifying sum of money in a recurring deposit account is calculated by multiplying the monthly deposit by the number of months. In this case, the qualifying sum is ₹400 x 18 = ₹7200.
- (iii) The area of the shaded portion QPBC can be calculated by subtracting the area of triangle APQ from the area of semi-circle ABC.
- (iv) The angle between a tangent and a radius drawn to the point of contact is 90°.
- (v) Using the given information and trigonometric ratios, we can calculate the length of PR.
- (vi) The volume of a sphere is equal to the sum of the volumes of the two hemispheres, making statement 1 true. However, the surface area of two hemispheres is greater than the surface area of the original sphere due to the newly exposed circular surfaces, making statement 2 false.
- (vii) The mean of a set of numbers is the sum of the numbers divided by the number of numbers. In this case, the mean is 140/7 = 20.
- (viii) Since there are no black marbles in the bag, the probability of drawing a black marble is 0.
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Description
Test your understanding of polynomial factors, geometry, and trigonometric ratios with this Math Class 10 quiz. Each question covers essential concepts that are crucial for mastering the subject. Challenge yourself and enhance your skills!
