HARD
CAT
IMPORTANT
Earn 100

There is a regular decagon. Triangles are formed by joining the vertices of the polygon. What is the number of triangles that have no side common with any of the sides of the polygon?

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Important Questions on X+2 Maths

MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 2
There are 12 intermediate stations between two places A and B. In how many ways can a train be made to stop at 4 of these 12 intermediate stations that no two stations are consecutive?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 3
A conference attended by 200 delegates is held in a hall. The hall has 7 doors, marked A, B, ... G. At each door, an entry book is kept and the delegates entering through that door sign it in the order in which they enter. If each delegate is free to enter any time and through any door he likes, then how many different sets of 7 lists would arise in all? (Assume that every person signs only at his first entry.)
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 4
In an election for the post of president of students union, every student can vote in 56 ways. Every student votes for at least one candidate and a student can vote for more than one candidate. If the total number of candidates exceeds the maximum number that can be elected by 2 , then what is the number of candidates?
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 5
The number of positive integral solutions of abc=30 is
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 6
A train going from Cambridge to London stops at 9 intermediate stations. Six persons enter the train during the journey with 6 different tickets of the same class. How many different sets of tickets would they have?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 7
Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty?
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 8
An eight-oared boat is to be manned by a crew chosen from 11 men of whom 3 can steer but cannot row and the rest cannot steer. In how many ways can the crew be arranged if two of the men can only row on bow side?
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 9
Find the number of n-digit numbers formed with the digits 1, 2, 3, …, 9, in which no two consecutive digits are the same.