1 .
If sin$\theta$ + $sin^2$$\theta$=1, then the value of $cos^2$+cos$\theta$ is:
A.  2
B.  4
C.  0
D.  1
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2 .
The shadow of a tower is $\sqrt 3$ times its height. Then the angle of elevation of the top of the tower is:
A.  $45^o$
B.  $30^o$
C.  $60^o$
D.  $90^o$
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3 .
There are two temples. One of each bank of a river, just opposite to each other. One temple is 54 m high. From the top of this temple the angles of depression of the top and foot of the other temple are $30^o$and $60^o$respectively. The length of the temple is:
A.  18 m
B.  36 m
C.  36$\sqrt 3$ m
D.  18$\sqrt 3$ m
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4 .
If the orthocenter and the centoid of a triangle are the same then the triangle is:
A.  Scalene
B.  Right angled
C.  Equilateral
D.  Obtuse angled
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5 .
If the median drawn on the base of a triangle is half its base, the triangle will be
A.  Right angled
B.  acute-angled
C.  obtuse-angled
D.  equilateral
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6 .
Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is
A.  9
B.  8
C.  10
D.  7
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7 .
If a chord of a circle is equal to the radius of the circle, then the angle subtended by the chord at a point on the minor arc is:
A.  $150^o$
B.  $60^o$
C.  $120^o$
D.  $30^o$
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8 .
The equidistant point from the vertices of a triangle is called its:
A.  Centroid
B.  Incentre
C.  Circumcentre
D.  Orthocentre
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9 .
A prism has as the base a right angled triangle whose sides adjacent to the right angles are 10 cm and 12 cm long. The height of the prism is 20 cm. The density of the material of the prism is 6 gm/cubic cm. The weight of the prism is:
A.  6.4 kg
B.  7.2 kg
C.  3.4 kg
D.  4.8 kg
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10 .
The edges of a rectangular box are in the ratio 1:2:3 and its surface area is 88 $cm^2$. The volume of the box is:
A.  24 $cm^3$
B.  48$cm^3$
C.  64$cm^3$
D.  120$cm^3$
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