If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a
trapezium
parallelogram
square
rhombus
B.
parallelogram
Clearly, from the ratios, it can be drawn that opposite angles are equal. And the opposite angles of the parallelogram are always equal.
∴ First angle = 2x = 2 x 20 = 40°
Second angle = 7x = 7 x 20 = 140°
Third angle = 2x = 2 x 20 = 40°
Fourth angle = 7x = 7 x 20 = 140°
One of the angles of a right-angled is 15°, and the hypotenuse is 1 metre. The area of the triangle (in square cm) is
1220
1200
1250
1215
C.
1250
The sum of money which becomes ₹ 2420 at 10% rate of compound interest after two years is
₹ 2000
₹ 1000
₹ 2500
₹ 1500
A.
₹ 2000
Assume that a drop of water is spherical and its diameter is one-tenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm) is
3
1
4
2
C.
4
Volume of one drop of water
∴ Volume of 32000 drops of water
∴ Volume of glass
Here,
When Principal = ₹ S, rate of interest = 2r % p.a., then a person will get after 3 years at compound interest
C.
Principal (P) = Rs. S
Rate (r) = 2r% p.a.
The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.)
150
50
300
56
A.
150
OD = OE = OF = 6 cm.
Area of triangle ABC = Area of (Δ AOB + Δ BOC + Δ AOC)
A spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm^{3}), that can just immerse the ball, is
A.
If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is
C.
If the radius of base of cylinder be r units, then,
Height =
From a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface area of the remaining solid (in square cm) is
A.
The remaining solid is shown as below:
Now, required surface area =
The principal which gives ₹ 1 interest per day at a rate of 5% simple interest per annum is
₹ 5000
₹ 7300
₹ 36500
₹ 3650
B.
₹ 7300
100 SI = P x R x T
100 x 1 = P x 5 x (1/365)
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