[Download PDF] AP ICET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 101

A piece of work can be completed by A. B and C independently in 15 hours. 12 hours. and 10 hours respectively. A and B started the work. and after 4 hours C joined them and completed the work. The time (in minutes) C worked is

Video Solution

Question 102

The radius (in feet) of the circle that circumscribes a rectangle whose length is 12 feet and has an area of 60 square feet, is

Video Solution

Question 103

A wire in the formof a circle with a diameter 42 cms is bent to form a rectangle whose sides are in the ratio 6 : 5. The area (in sq.cms) of the triangle whose sides are the length. the breadth and the diagonal of the rectangle. is

Video Solution

Question 104

The radius (in units) of the sphere whose surface area and volume are numerically equalis

Video Solution

Solution

Surface area of the sphere= $$4\pi\ r^2$$

Volume of the sphere= $$\frac{4}{3}\pi\ r^3$$

Hence $$\frac{4}{3}\pi\ r^3=4\pi\ r^2\ or\ r=3$$

Question 105

A solid copper sphere of radius 3 cms is melted to make a wire of diameter 0.2 cms. The length of wire is

Video Solution

Question 106

A door is in the shape of a rectangle of dimensions 10’ X 7', with a semicircle on its smaller side the circumference (in feet) of the door is (Take $$\pi = \frac{22}{7}$$)

Video Solution

Question 107

The perimeter ( in cms) of a rhombus whose diagonals are 40 cms and 30 cmsis

Video Solution

Solution

Applying Appolohnius theorem on the rhombus, let each side of the rhombus be "a".

$$a^2+a^2=2\left(20^2+15^2\right)$$

$$2a^2=2\left(625\right)\ or\ a^2=625\ or\ a=25$$

The length of a side is 25cm. Hence perimeter of the rhombus is 100cm.

Question 108

If two cubes of sides 15 cms eachare joined together to form a cuboid then the surface area (in sq. cms) of the cuboid is

Video Solution

Question 109

The number466 in the decimal systemis written in septal system as

Video Solution

Question 110

The largest integer k < 1110 that leaves the remainder 10 whendivided by 11 is

Video Solution

CAT Content

AP ICET 2017

A piece of work can be completed by A. B and C independently in 15 hours. 12 hours. and 10 hours respectively. A and B started the work. and after 4 hours C joined them and completed the work. The time (in minutes) C worked is

The radius (in feet) of the circle that circumscribes a rectangle whose length is 12 feet and has an area of 60 square feet, is

A wire in the formof a circle with a diameter 42 cms is bent to form a rectangle whose sides are in the ratio 6 : 5. The area (in sq.cms) of the triangle whose sides are the length. the breadth and the diagonal of the rectangle. is

The radius (in units) of the sphere whose surface area and volume are numerically equalis

A solid copper sphere of radius 3 cms is melted to make a wire of diameter 0.2 cms. The length of wire is

A door is in the shape of a rectangle of dimensions 10’ X 7', with a semicircle on its smaller side the circumference (in feet) of the door is (Take $$\pi = \frac{22}{7}$$)

The perimeter ( in cms) of a rhombus whose diagonals are 40 cms and 30 cmsis

If two cubes of sides 15 cms eachare joined together to form a cuboid then the surface area (in sq. cms) of the cuboid is

The number466 in the decimal systemis written in septal system as

The largest integer k < 1110 that leaves the remainder 10 whendivided by 11 is

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