## S-6-30-The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean, median and mode of the data.

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean, median and mode of the data. Or The median of the following dats is 525. Find the value of x and y Read More …

## S-6-29-21 glass spheres each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm x 8 cm x 8 cm and then the box is filled with water. Find the volume of water filled in the box.

21 glass spheres each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm x 8 cm x 8 cm and then the box is filled with water. Find the volume of water filled in the box.

## S-6-28-From the top of a hill, the angles of depression of two consecutive kilometre stones due east are found to be 30° and 45°. Find the height of the hill.

From the top of a hill, the angles of depression of two consecutive kilometre stones due east are found to be 30° and 45°. Find the height of the hill.

## S-6-27-In the adjoining figure, PQ=24 cm, PR=7 cm and O is the centre of the circle. Find the area of the shaded region.

In the adjoining figure, PQ=24 cm, PR=7 cm and O is the centre of the circle. Find the area of the shaded region.

## S-6-26-If sec A+ tan A= p, then prove that sin A = (p²+1)/(p²-1)

If sec A+ tan A= p, then prove that sin A = (p²+1)/(p²-1)

## S-6-25-Draw a circle of radius 8 cm. From a point 12 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Draw a circle of radius 8 cm. From a point 12 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Or Draw a line segment AB of length 8 cm. Taking A as Read More …

## S-6-24-A girl walking uphill covers a distance of 20 m during the first minute, 18m during the second minute and 16m during the third minute and so on. How much distance will she cover in (i) 10th minute (ii) 10 minutes?

A girl walking uphill covers a distance of 20 m during the first minute, 18m during the second minute and 16m during the third minute and so on. How much distance will she cover in (i) 10th minute (ii) 10 minutes?

## S-6-23-The sum of the areas of two squares is 640 m2. If the difference in their perimeters be 64m find the sides of the two squares.

The sum of the areas of two squares is 640 m2. If the difference in their perimeters be 64m find the sides of the two squares. Or In a class test, the sum of marks obtained by Puneet in Mathematics and Read More …

## S-6-22-From a bag containing 5 red, 6 black and 7 yellow balls, a ball is drawn at random. Find the probability that it is: (a) not a yellow ball (b) neither a black nor a red ball(c) either a black or a yellow ball

From a bag containing 5 red, 6 black and 7 yellow balls, a ball is drawn at random. Find the probability that it is: (a) not a yellow ball (b) neither a black nor a red ball(c) either a black or Read More …

## S-6-21-A card is drawn from a well- shuffled pack of 52 playing cards. What is the probability that the card drawn is (a) either a red or a king (b) a black face card (c) a red queen card.

A card is drawn from a well- shuffled pack of 52 playing cards. What is the probability that the card drawn is (a) either a red or a king (b) a black face card (c) a red queen card. Or Read More …

## S-6-20-If 7 cosec A – 3cot A = 7, prove that 7cot A – 3cosec A = 3.

If 7 cosec A – 3cot A = 7, prove that 7cot A – 3cosec A = 3.

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