A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

1. 25 cm

2. 12.5 cm

3. 30 cm

4. 9 cm

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is

1.4.2 cm

2. 2.1 cm

3.2.4 cm

4. 1.6 cm

A grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the class is constructed for the following data: 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44. The number of classes in the distribution will be:

1. 9

2.10

3. 11

4.12

A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data: 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304,402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of the class 370-390 is:

1. 0

2.1

3.3

4.5

ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

1.rectangle

2.rhombus

3.parallelogram

4. need not be any of (a), (b) or (c)

An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

1.3 cm

2.3âˆš2 cm

3. 3âˆš3 cm

4.6 cm

D is a point on the side BC of a Î”ABC such that AD bisects âˆ BAC. Then

1.BD = CD

2.BA > BD

3.BD > BA

4. CD > CA

For drawing a frequency polygon of a continous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abcissae are respectively:

1.upper limits of the classes

2.lower limits of the classes

3. class marks of the classes

4. upper limits of preceding classes

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

1.1 : 3

2. 1 : 2

3.3 : 1

4. 1 : 4

If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

1.a + b < c

2.a â€“ b < c

3.a + b = c

4.None of these

If a, b and c are the lengths of three sides of a triangle, then:

1. a + b > c

2. a â€“ b > c

3.a + b = c

4. a â€“ b = c

If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a

1.rhombus

2. parallelogram

3. trapezium

4. kite.

If each observation of the data is increased by 5, then their mean

1. remains the same

2. becomes 5 times the original mean

3. is decreased by 5

4. is increased by 5

If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

1. 16 cm

2. 15 cm

3.20 cm

4.17 cm

If we want to construct a triangle, given its perimeter, then we need to know:

1.Sum of two sides of triangle

2. Difference between two sides of triangle

3.One base angles

4. Two base angles

In a cylinder, radius is doubled and height is halved, curved surface area will be

1. halved

2. doubled

3.same

4. four time

In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The upper limit of the class is:

1. 6

2.7

3. 10

4.13

In a sample study of 640 people, it was found that 512 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is:

1. 0.5

2. 0.6

3. 0.7

4. 0.8

In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is:

1. 0.25

2. 0.50

3. 0.75

4.0.80

In Î”ABC, âˆ C = âˆ A and BC = 4 cm and AC = 5 cm, then find length of AB.

1. 5 cm

2. 3 cm

3. 4 cm

4. 2.5 cm

In Î”PQR, if âˆ R > âˆ Q, then

1.QR > PR

2. PQ > PR

3. PQ < PR

4. QR < PR

In the class intervals 10-20, 20-30, the number 20 is included in:

1.10-20

2.20-30

3.both the intervals

4.none of these intervals

In triangles ABC and PQR, AB = AC, âˆ C = âˆ P and âˆ B = âˆ Q. The two triangles are

1. isosceles but not congruent

2. isosceles and congruent

3.congruent but not isosceles

4. neither congruent nor isosceles

Let m be the mid-point and 1 be the lower class limit of a class in a continuous frequency distribution. The upper class limit of the class is:

1. 2m + l

2.2m â€“ l

3.m â€“ l

4.m â€“ 2l

Mode of the data 15, 14, 19, 20, 16, 15, 16, 14, 15, 18, 14, 19, 16, 17, 16 is

1.14

2.15

3.16

4.17

The class mark of the class 90-130 is:

1.90

2.105

3.115

4.110

The class marks of a frequency distribution are given as follows: 15, 20, 25, â€¦ The class corresponding to the class mark 15 is:

1. 12.5 â€“ 17.5

2. 17.5 â€“ 22.5

3.18.5 â€“ 21.5

4. 19.5 â€“ 20.5

The length of the longest pole that can be put in a room of dimension (10 m Ã— 10 m Ã— 5 m) is

1. 15 m

2.16 m

3. 10 m

4.12 m

The mean of 25 observations is 26. Out of these observations if the mean of first 13 observations is 22 and that of the last 13 observations is 30, the 13th observation is:

1. 23

2.26

3. 28

4. 30

The mean of five numbers is 30. If one number is excluded, their mean becomes 28. the excluded number is:

1.28

2. 30

3. 35

4. 38

The median of a triangle divides it into two

1.isosceles triangle

2.congruent triangles

3.right angled triangle

4.triangles of equal areas

The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is

1. 45

2.49.5

3.54

4. 56

The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is

1. 10 : 17

2.20 : 27

3. 17 : 27

4. 20 : 37

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

1.1 : 2

2. 3 : 1

3. 4 : 1

4. 1 : 8

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

1.1 : 4

2.1 : 3

3.2 : 3

4. 2 : 1

The range of the data: 25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

1.10

2. 75

3.85

4. 26

The side lengths 4 cm, 4 cm and 4 cm can be sides of:

1. Scalene Triangle

2. Isosceles Triangle

3.Equilateral Triangle

4. None of the above

The sides of a triangle are 35 cm, 54 cm and 61 cm. The length of its longest altitude is

1.16âˆš5 cm

2.10âˆš5 cm

3. 24âˆš5 cm

4.28 cm

The sum of the probabilities of all events of a trial is

1. 1

2.greater than 1

3.less than 1

4.between 0 and 1

The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The lower class-limit of the highest class is:

1.15

2. 30

3. 35

4. 40

To construct a bisector of a given angle, we need:

1.A ruler

2. A compass

3.A protractor

4. Both ruler and compass

To construct an angle of 60 degrees, we need to draw first:

1. A ray

2. An arc

3. Two rays

4. A straight line

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

1.1 : 2

2.1 : 1

3.2 : 1

4. 3 : 1

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

1.3.6 cm

2.4.1 cm

3.3.8 cm

4.3.4 cm

Which of the following angles can be constructed using ruler and compass?

1. 35

2. 40

3.90

4. 50

Which of the following angles can be constructed using ruler and compasses?

1.35

2. 45

3.95

4. 55

Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm?

1.3.5 cm

2. 2.1 cm

3.4.7 cm

4.None of these

Which of the following set of lengths can be the sides of a triangle?

1. 2 cm, 4 cm, 1.9 cm

2. 1.6 cm, 3.7 cm, 5.3 cm

3.5.5 cm, 6.5 cm, 8.9 cm

4. None of the above

Which of these angles cannot be constructed using ruler and compasses?

1. 120

2. 60

3. 140

4. 135

Which of these angles we cannot construct it using ruler and compasses?

1. 120

2. 70

3. 60

4. All can be constructed

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