Free online Geometry Objective Test with Answers

Free online Geometry Objective Test with Answers
Geometry objective questions for job Exams like NDA UPSC RRB etc
1. AB and CD are two chords of a circle; when produced they intersect each other at
the point P outside the circle. Then
(a) AB BP = CD DP
(b) AP BP = CP DP
(c) AB AP = CD CP
(d) AP CP = BP DP
Ans. (b)


2. In a circle with centre O, two unequal chords PQ and RS intersect each other at M,
then triangles PMR and QMS are
(a) congruent
(b) equal in area
(c) similar
(d) none of these
Ans. (c)

3. Find the approximate value of Angle A in Triangle ABC if 8 A = 9B = 4C(all are angles).
(a) 70°
(b) 74°
(c) 81°
(d) 85
Ans. (d)

4. The diagonals of a parallelogram ABCD intersect at O. If Angle BOC = 90° and BDC =
50°, then AOB is
(a) 10°
(b) 40°
(c) 50°
(d) 90°
Ans. (b)

5. The external bisectors of Angle B and C of Triangle ABC meet in O. If Angle A is equal to 50°, then
the magnitude of Angle BOC is
(a) 140°
(b) 105°
(c) 65°
(d) 60°
Ans. (c)

6. The angles of a pentagon in degrees are y°, ( y + 20°), ( y + 400) – ( y + 60°) and ( y
+ 80°).The smallest angle of the pentagon is
(a) 88°
(b) 78°
(c) 68°
(d) 58°
Ans. (c)

7. In Triangle PQR , Angle P = 50 and the external bisectors of Angle Q and Angle R meet in O, then the measure of Angle QOR is
(a) 65°
(b) 70°
(c) 75°
(d) 80°
Ans. (a)

8. Four triangles are formed by joining the mid points of the three sides of a triangle.
Then
(a) two Triangle’s are congruent
(b) three Triangle’s’s are congruent
(c) all are congruent
(d) none are congruent
Ans. (c)

9. Two circles with centre A and B intersect each other at P and Q. Which one is true?
(a) PQ is the perpendicular bisector of AB
(b) AB is the perpendicular bisector of PQ
(c) APB is a right angled triangle
(d) AB = PQ
Ans. (b)

10. In Triangle ABC, E is the midpoint of median AD, BE is produced to meet AC at F Then
AF : FC is equal to
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 2 : 3
Ans. (b)

11. If in a right angle triangle ABC, P is the midpoint of hypotenuse AC, which one is
true?
(a) PA=AC/2
(b) PB=AC/2
(c) PA=PB
(d) All of these
Ans. (d)

12. If the diagonals of a parallelogram are equal, it is a
(a) rectangle
(b) square
(c) trapezium
(d) none of these
Ans. (c)

13. Opposite angles of cyclic quadrilateral are
(a) supplementary
(b) complementary
(c) equal
(d) not known
Ans. (a)

14. Any cyclic parallelogram is a
(a) rhombus
(b) square
(c) rectangle
(d) trapezium
Ans. (b)

15. The sum of the exterior angles of a triangle is K right angles. Then K is
(a) 3
(b) 4
(c) 2
(d) 1
Ans. (b)

16. ABCD is a trapezium with AB CD and AB = 2CD. If O is the intersection of the
diagonals, Ar(AOB)/Ar(COD) is in the ratio
(a) 2 : 1
(b) 3 : 1
(c) 3 : 2
(d) 4 : 1
Ans. (d)

17. P and Q are points on the sides CA and CB, respectively of a right-angled triangle
ABC, right angled at C, then
(a) AP2 + PB2 = AB2
(b) AQ2 + BP2 = AB2 + PQ2
(c) BQ2 + QP2 = BP2
(d) AQ + BP = AB + PQ
Ans. (b)


18. The locus of a point equidistant from a fixed point is a
(a) circle
(b) straight line
(c) parabola
(d) hyperbola
Ans. (a)

19. If the interior angle of a regular polygon exceeds the exterior angle by 132°, then the
number of sides of the polygon is
(a) 15
(b) 14
(c) 13
(d) 12
Ans. (d)


20. If two circles touch each other internally then the distance between their centres is
equal to
(a) sum of their radii
(b) difference of their radii
(c) product of their radii
(d) smaller of two radii
Ans. (b)

21. If PQRS is a parallelogram inscribed in a circle, then it is a
(a) rhombus
(b) square
(c) rectang1e
(d) trapezium
Ans. (c)


22. If two circles touch each other externally at the point P and the straight line l touches
the two circles at the points Q and R respectively then Angle QPR is equal to
(a) 45°
(b) 55°
(c) 65°
(d) 90°
Ans. (d)

23. The distance between two parallel chords of lengths 8 cm and 6 cm, in a circle of
diameter 10 cm, if the chords are on the same side of the centre is
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Ans. (a)

24. If two parallel chords of length 8 cm and 6 cm in a circle of radius 5 cm are on the
opposite sides of the centre, then the distance between the parallel chords is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) none of these
Ans. (c)

25. Two circles touch each other externally. If the distance between their centers is 7 cm
and if the diameter of one circle is 8 cm, then the diameter of the other is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm
Ans. (b)