Maths MCQ Quiz in मल्याळम - Objective Question with Answer for Maths - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. Here, the ratio of to is . Thus, the ratio of the areas is . Therefore, the ratio of the area of triangle to the area of triangle is .

To find the height of the flagpole, we can use the concept of similar triangles. The tree and its shadow form one triangle, and the flagpole and its shadow form another triangle. Since the sun's rays are parallel, these triangles are similar. Therefore, the ratio of the height to the shadow length is the same for both. For the tree, the ratio is . For the flagpole, let's call its height , giving us the ratio . Setting these equal gives us the equation: . Solving for involves cross-multiplying to get: . Simplifying: . Dividing both sides by 6 yields feet. Thus, the flagpole is 16 feet tall. Option 3 is correct.

The sine of an angle is equal to the cosine of its complementary angle. Therefore, . So, the sine of the angle complementary to C is , making option 1 correct. Option 2 is the sine of angle C itself, not its complement. Options 3 and 4 are incorrect as they do not correspond to the given trigonometric ratios.

To find out how many gadgets pass inspection, calculate 92% of 400. Convert the percentage to a decimal: . Then, multiply 400 by 0.92: . Thus, 368 gadgets pass inspection. Option 4 is correct, while options 1, 2, and 3 do not represent 92% of 400.

To find the median, we need to arrange the data in ascending order (which it already is) and find the middle value. Since there are 5 numbers, the median is the third number in the sorted list. Thus, the median is 15. Option 1 is incorrect as 11 is the first quartile, not the median. Option 2 is incorrect as 13 does not appear in the data set. Option 4 is incorrect as 18 is the fourth value, not the middle one. Therefore, the correct answer is 15.

The correct answer is option 3. The standard deviation is a measure of the spread of data points around the mean. A larger standard deviation indicates that the data points are more spread out. Here, Group D has a standard deviation of 12.3 ml/kg/min, which is larger than the standard deviation of Group C, which is 8.5 ml/kg/min. This means that the oxygen uptake levels in Group D have a larger spread compared to Group C.

Option 1 is incorrect because identical data sets would have identical means and standard deviations, which is not the case here.

Option 2 is incorrect because a larger standard deviation in Group D indicates less consistency, not more.

Option 4 is incorrect because the problem does not provide information about medians, and the means are identical, so we cannot infer anything about the medians.

Tripling all numbers above the median and halving all numbers below the median results in a significant change in the spread of the data. The median remains unchanged as it is the central value of the ordered list. The mean, which depends on the total sum, will change due to the drastic modifications in individual values. The total sum changes as the transformations alter the overall sum of the data. The standard deviation, which measures the spread of the data points from the mean, will definitely increase due to the increased variability in the data. Thus, the standard deviation is altered.

The ratio implies . Substituting into the equation , we have . Simplifying gives . Canceling results in . Solving for , multiply both sides by to get . Dividing both sides by 6, . Therefore, is 72.

The given function is . We set , resulting in . This can be factored as , giving . Therefore, the correct option is -3, which is option 2. This shows that the quadratic has a repeated root at .

The concentration doubles every 2 hours. After 8 hours, the concentration will have doubled times. The concentration is given by the formula , where is the number of doubling periods. Substituting , we have moles per liter. Therefore, the concentration after 8 hours is 8 moles per liter. Option 1 is incorrect because it represents the concentration after 2 hours. Option 2 is incorrect because it represents the concentration after 4 hours. Option 3 is incorrect because it represents the concentration after 6 hours.