Mathematics Past Questions and Answers

The rate of ice formation in the freezer compartment of a refrigerator is (2-0.3t) g per min; where \(t\) is the time in minutes. If there was initially \(10 \mathrm{~g}\) of ice in the ice-maker, the mass of ice present after 10 minutes is ____________

A die is thrown and a coin is tossed. Find the probability that the die shows an even number and the coin shows a head.

If two triangles are similar, then<br/>I. the corresponding angles are equal<br/>II. the corresponding sides are proportional <br/>III. the areas of the triangles are in the same ratio as the lengths of the corresponding sides<br/>IV. the triangles are congruent<br/><br/>Which of the above statements are CORRECT?

A binary operation \(*\) is defined over the set of real numbers such that \(m * n=m+n+2\) and \(m \odot\) \(n=m-n+1\). Which of the following equations is not true?

If \(2 \cos 2 \theta=-\cos \theta\) and \(0<\theta<180^{\circ}\), then \(\theta\) is ____________