1. Ashok has drawn an angle of measure
27’ when he was asked to draw an angle of
the percentage error in his drawing is
1) 0.5
2)
1.0
3) 1.5
4) 2.0
2. The sides of a triangle are in the ratio 3: 4: 6.
The triangle is:
1) acute-angle
2) right angled
3) Obtuse
angled
4) either acute-angled
or right angled
3. Two medians AD and BE of
ABC intersect at G at right angles. If AD=9 cm
and BE=6 cm, then the length of BD, in cm, is
1) 10
2) 6
3)
5
4) 3
4. The ortho centre of a right angled triangle lies
1) Outside the triangle
2) at the right angular vertex
3) on its hypotenuse
4) within the triangle
5. Two line segment PQ and RS intersect at X in
such a way that XP=XR. If
PSX=
RQX, then one must have
1) PR=QS
2) PS=RQ
3)
XSQ=
XRP
4)
ar (
PXR) = ar (
QXS)
6. AD is the median of a triangle ABC and
O is the cancroids such that AO = 10 cm. the length of OD in cm is
1) 4
2) 5
3)
6
4)8
1) 5 cm
2) greater than 5 cm
3) Greater than or equal to 5 cm
4) less than 5cm
8. The length of the chord of a circle is 8 cm and
perpendicular distance between centre and the chord is 3 cm. then the radius of
the circle is equal to:
1) 4 cm
2) 5 cm
3)
6 cm
4) 8 cm
9. Each interior angle of a regular polygon is
three times its exterior angles, then the number of sides of the regular
polygon is three times its exterior angles, then the number of sides of the
regular polygon is :
1) 9
2) 8
3) 10
4) 7
10. In a regular polygon, the exterior and interior
angles are in the ratio 1: 4 the number of sides of the polygon is
1) 10
2)
12
3) 15
4)
16
11. If the lengths of the three sides of a triangle
are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is
1) 8 cm
2) 6 cm
3)
5 cm
4) 4.8 cm
12. The difference between the exterior and
interior angles at a vertex of a regular polygon is
. The number of sides of the polygon is:
1) 10
2)
15
3)
24
4) 30
1) 20
2)
30
3) 40
4) 25
1) 2 : 1
2) 1: 2
3) 4: 5
4) 3 : 5
15. Each interior angle of a regular polygon is
. The number of sides of the polygon is
1) 8
2) 9
3)
10
4) 11
16. ABCD is a square. M is the midpoint of AB and N
is the midpoint of BC. DM and AN are joined and they meet at O. then which of
the following is correct?
1) OA : OM = 1: 2
2) AN : MD
3)
ADM =
ANB
4)
AMD=
BAN
17. AB= 8 cm and CD =6 cm are two
parallel chords on the same side of the centre of a circle. The distance
between them is 1 cm. the radius of the circle is
1) 5 cm
2) 4
cm
3)
3 cm
4) 2 cm
18. The side AB of a parallelogram ABCD is produces
to E in such way that BE = AB. DE intersects BC at Q. the point sects BC at Q.
the point Q divides BC in the ratio
1) 1: 2
2)
1 : 1
3)
2 : 3
4) 2 : 1
19. If a chord of a circle of radius 5 cm is a
tangent to a circle of radius 3 cm, both the circles being concentric, then the
length of the chord is
1) 10 cm
2) 12. 5 cm
3)
8 cm
4)
7 cm
20. The length of two chords AB and AC of a circle
are 8 cm and 6 cm and
BAC=
, then the radius of circle is
1) 25 cm
2) 20 cm
3)
4 cm
4) 5 cm
21. The points D and E are taken on the
sides AB and AC of
ABC such that AD =
AB, AE=
AC. If the length of BC is 15 cm, then the
length of DE is:
1) 10 cm
2) 8 cm
3) 6 cm
4) 5 cm
1) 6
2) 8
3) 10
4)
12
23. The perimeter of the triangular base of a right
prism is 15 cm triangular base is 3 cm. if the volume of the prism be 270
, then the height of the prism is
1) 6 cm
2) 7.5 cm
3)
10 cm
4)
12 cm
24. ABCD is a rhombus. A straight line through C
cuts AD produced at P and AB produced at Q. if DP =
AB, then the ratio of the lengths of BQ and AB
is
1) 2 : 1
2)
1: 2
3) 1: 1
4) 3: 1
1) 6 cm
2) 7 cm
3)
8 cm
4) 5.5 cm
26. If the circumradius of an equilateral triangle
be 10 cm, then the measure of it’s in- radius is the measure of its in-radius
is
1) 5 cm
2) 10 cm
3)
20 cm
4) 15 cm
27. The number of sides in two regular polygons are
in the ratio 5 : 4 and the difference between each interior angle of the
polygons is
. Then the numbers of sides are
1) 15, 12
2) 5, 4
3)
10, 8
4) 20, 16
28. In a quadrilateral ABCD, with unequal sides if
the diagonals AC and BD intersect at right angles, then
1)
+
=
+
2)
+
=
+
3)
+
=
+
4)
+
=
+
29. D is any point on side AC of
ABC. If P,Q, X, Y are the midpoints of AB, BC,
AD and DC respectively, then the ratio of PX and QY is
1) 1 : 2
2) 1 : 1
3)
2: 1
4) 2: 3
30. A straight line parallel to BC of
ABC intersecs AB and AC at point P and Q
respectively. AP = QC, PB=4 units and AQ=9 units, then the length of AP is:
1) 25 units
2) 3 units
3) 6 units
4)
6.5 units
31. Each internal angles of regular
polygon is two times its external angles. Then the number of sides of the
polygon is :
1) 8
2) 6
3) 5
4)
7
32. Ratio of the number of sides of two regular
polygons is 5: 6 and the ratio of their each interior angles is
24 : 25. Then the numbers of sides of these two
polygons are
1) 20, 24
2) 15, 18
3)
10, 12
4) 5,6
Answer
1. (2)
2. (3)
3. (3)
4. (2)
5. (2)
6. (2)
7. (2)
8. (2)
9. (2)
10. (1)
11. (3)
12. (3)
13. (2)
14. (1)
15. (3)
16. (3)
17. (1)
18. (2)
19. (3)
20. (4)
21. (4)
22. (2)
23. (4)
24. (1)
25. (1)
26. (1)
27. (1)
28. (2)
29. (2)
30. (3)
31. (2)
32. (3)
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