# AMCAT Sample Questions Quants Solutions 151-160

Ques 151 : Choose the correct answer.
A polygon has 44 diagonals, the number of its sides is
Option 1 : 10
Option 2 : 11
Option 3 : 12
Option 4 : 22

Ques 152 : Choose the correct answer.
The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is
Option 1 : 105
Option 2 : 115
Option 3 : 175
Option 4 : 185

Ques 153 : Choose the correct answer.
There are 5 letters and five addressed envelopes. the number of ways in which all the letters can be put in wrong envelopes is
Option 1 : 119
Option 2 : 44
Option 3 : 59
Option 4 : 40

Ques 154 : Choose the correct answer.
The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is
Option 1 : 960
Option 2 : 2880
Option 3 : 288
Option 4 : 576

Ques 155 : Choose the correct answer.
At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is
Option 1 : 25
Option 2 : 30
Option 3 : 32
Option 4 : none of these

Ques 156 : Choose the correct answer.
There are n different books and p copies of each. the number of ways in which a selection can be made from them is
Option 1 : np
Option 2 : pn
Option 3 : (p+1)n -1
Option 4 : (n+1)p-1

Ques 157 : Choose the correct answer.
The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is
Option 1 : 220
Option 2 : 204
Option 3 : 205
Option 4 : 195

Ques 158 : Choose the correct answer.
A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is
Option 1 : 56
Option 2 : 126
Option 3 : 91
Option 4 : none of these

Ques 159 : Choose the correct answer.
Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is
Option 1 : 15
Option 2 : 81
Option 3 : 255
Option 4 : 256

Ques 160 : Choose the correct answer.
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
Option 1 : 1260
Option 2 : 210
Option 3 : 10C6 * 6!
Option 4 : 10C5 * 6