In the figure given below $$L_1 \mid \mid L_2$$ then x = ______________.

correct answer:-**2**

If $$h, c, v,$$ are the height, the curved surface area and the volume of a cone, then $$3\pi vh^3$$ is

correct answer:-**2**

In the following diagram there are four semi circular arcs and a shaded region. The diameter of largest semi circle is 28cm and of the smallest is 7cm. The area of shaded region is

correct answer:-**4**

An umbrella is made by stitching 10 triangular pieces of cloth of two different colours each piece measuring 30cm, 60cm, 60cm. How much cloth of each colour is required for Umbrella?

correct answer:-**2**

In the figure given below, a Cylinder is inserted into a cone and the vertical height of the cone is 30 cm. The diameter of the cylinder is 8. What is the volume of the cone? The base of the cylinder and the base of the cone are on the same plane.

correct answer:-**1**

If the ratio of sides of a rectangle is 2 : 7 and perimeter is 360 m, then ﬁnd out its length and breadth.

correct answer:-**1**

Mr. Sandeep was placing an order with his carpenter to make wooden boxes to pack his cotton toys which were to be delivered to his friend. Sandeep wanted 2 types of boxes. The larger one with a dimension of 25cm x 20cm x 5cm and the smaller box with a dimension of 15cm x 12cm x 5cm. Sandeep also told the carpenter that 5% of total surface area is required as extra to cover the overlaps. If the cost of the wood is Rs.4/- cmz, the cost of wood required for supplying 250 boxes of each type would be Rs. ______.

[Note:-D0 NOT include spaces in your answer)

correct answer:-**2184000**

Mahesh has a toy which has the shape of a trapezium. The two sides which are parallel have a length of 60 cm and 77 cm and the other sides are 25 cm and 26 cm. He requests you to calculate the area and you help him to arrive at the correct answer which is sq.cm.

[Note:- DO NOT include spaces in your answer)

correct answer:-**1644**

Peter was standing on the top of a rock cliff facing the sea. He saw a boat coming towards the shore. As he kept seeing time just flew. Ten minutes less than half of an hour, the angle of depression changed from 30 to 60. How much more time in minutes will the boat take to

reach the shore ?

correct answer:-**2**

As shown in the figure, there is a square of 24 cm. A circle is inscribed inside the square. Inside the circle are four circles of equal radius which are inscribed. The total area of the shaded region in the figure given below is ________

correct answer:-**4**

In the figure given below the value of x and y would be __________

correct answer:-**2**

C is the mid-point of PQ, if P is (4, x), C is (y, -1) and Q is (-2, 4), then x and y respectively are

correct answer:-**1**

The radius of the incircle in the given diagram will be

correct answer:-**2**

In the adjoining figure, ABCD is a cyclic quadrilateral. If AB is a diameter, BC = CD and $$\angle ABD = 40^\circ$$, find the measure of $$\angle DBC$$.

correct answer:-**2**

The cost of the paint is 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?

correct answer:-**3**

If $$\tan \theta + \sin \theta = m$$ and $$\tan \theta - \sin \theta = n$$, then the value of $$m^2 - n^2$$ is equal to

correct answer:-**3**

If two tangents inclined at an angle $$60^\circ$$ are drawn to a circle of radius 3 cm, then length of each tangent is equal to

correct answer:-**4**

In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?

correct answer:-**3**

If ABCD is a square and BCE is an equilateral triangle, what is the measure of the angle DEC?

correct answer:-**1**

The cost of fencing a circular plot at the rate of Rs.15 per m is ` 3300. What will be the cost of flooring the plot at the rate of Rs.100 per sq m?

correct answer:-**1**

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