Pu + Pl = 32C + Pl = 27C + Pu = 25C + Pu + Pl = 42(C, Pu, Pl) = (10, 15, 17)ABCD is a parallelogram and P is a point on the plane such that area of triangle ABP is 10 and that of triangle CPD is 20. Find the maximum and minimum possible area of parallelogram ABCD.
Siddharth has only three types of toys - Cars, Puzzles and Planes. All his toys except 25 arePlanes. All except 32 are Cars. All except 27 are Puzzles. How many Cars does he have?(a) 52 (b) 15 (c) 12 (d) 10
A person drew 'x' triangles on a board such that no two of them touched or intersected each other.His friend counted the various types of triangles on the board and came up with the following data.• Exactly 20 triangles were there in which all the sides were equal.• At least 32 triangles were there in which at least two sides were equal.• Exactly 12 triangles were there in which all the sides were of different lengths.• Exactly 24 triangles were there in which one interior angle was obtuse.• Exactly 28 triangles were there in which all the interior angles were acute.What is the least possible value of 'x'?(a) 52 (b) 44 (c) 96 (d) None of these
Pu + Pl = 32C + Pl = 27C + Pu = 25C + Pu + Pl = 42(C, Pu, Pl) = (10, 15, 17)ABCD is a parallelogram and P is a point on the plane such that area of triangle ABP is 10 and that of triangle CPD is 20. Find the maximum and minimum possible area of parallelogram ABCD.
A person drew 'x' triangles on a board such that no two of them touched or intersected each other.His friend counted the various types of triangles on the board and came up with the following data.• Exactly 20 triangles were there in which all the sides were equal.• At least 32 triangles were there in which at least two sides were equal.• Exactly 12 triangles were there in which all the sides were of different lengths.• Exactly 24 triangles were there in which one interior angle was obtuse.• Exactly 28 triangles were there in which all the interior angles were acute.What is the least possible value of 'x'?(a) 52 (b) 44 (c) 96 (d) None of these
Pu + Pl = 32C + Pl = 27C + Pu = 25C + Pu + Pl = 42(C, Pu, Pl) = (10, 15, 17)ABCD is a parallelogram and P is a point on the plane such that area of triangle ABP is 10 and that of triangle CPD is 20. Find the maximum and minimum possible area of parallelogram ABCD.
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
11111111 1way 11222 10 ways 111122 15 ways 1111112 7 ways 2222 1 way Total 34?
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
f(n) is the number if ways of reaching nth stair.
If first he climbs 1 step, then rest can be climbed in f(n - 1) ways
If first he climbs 2 step, then rest can be climbed in f(n - 2) ways
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
A man standing at the bottom of a staircase starts tossing a coin. Every time it shows Heads, he climbs two steps, while every time it shows Tails he climbs one step. After a while, he finds that he has climbed 8 steps. How many possible sequences of Heads and Tails could he have thrown?1) 256 2) 283) 36 4) 34Please explain with approach
Pu + Pl = 32C + Pl = 27C + Pu = 25C + Pu + Pl = 42(C, Pu, Pl) = (10, 15, 17)ABCD is a parallelogram and P is a point on the plane such that area of triangle ABP is 10 and that of triangle CPD is 20. Find the maximum and minimum possible area of parallelogram ABCD.