PERMUTAION AND COMBINATION Question for CAT (Figure Based)
- Jul 22, 2025
- 2 min read
PERMUTAION AND COMBINATION Question for CAT
Q.1 How many straight lines can be formed from 10 points if no three points are collinear?
a.45
b.90
c.10!
d.None of the above
Q.2 There are 10 points in a plane in which 4 are collinear. How many straight lines can be formed from these points?
a.45
b.39
c.40
d.None of the above
Q.3 How many triangles can be formed with 10 points in a plane of which no three points are collinear?
a.10C2
b.10P3
c.10C3
d.None of the above
Q.4 Out of 15 points in a plane, no 3 are in straight line except 8 points which are collinear. How many triangles can be formed by joining them?
a.399
b.15C3 - 8C3 + 1
c.504
d.None of the above
Q.5 There are 25 points on a plane of which 7 are collinear. How many quadrilaterals can be formed from these points?
a.12650
b.11985
c.12020
d.None of the above
Q.6 The number of rectangles on a chess board is
a.144
b.256
c.1296
d.None of the above
Q.7 The number of squares on a chess board is
a.1296
b.204
c.64
d.None of the above
Q.8 In how many ways can a person travel from point A to Point B via the shortest route if the person can travel Only along the edges
a.8!/(4!4!)
b.8P4
c.5C2 x 5C2
d.None of the above
Q.9 The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is
a.66
b.30
c.24
d.15
Q.10 At most, how many intersection points are there by drawing 5 straight lines on a plane such that no two lines are overlapping?
a.5C2
b.5P2
c.52
d.25
Q.11 What is the greatest number of points of intersection of 5 straight lines and four circles?
a.60
b.70
c.72
d.62
Q.12 In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column?
a.768
b.1024
c.384
d.None of the above
Q.13 What is the maximum number of regions that 10 straight lines can divide a plane into?
a.45
b.56
c.46
d.None of the above
Q.14 A plane is divided into 79 regions by drawing several straight lines. What is the difference between maximum and minimum number of lines required for the division?
a.78
b.66
c.12
d.None of the above
Q.15 Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
a.165
b.160
c.120
d.115
Answer for Permutation and Combination for CAT
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
A | C | C | A | B | C | B | A | D | A |
11 | 12 | 13 | 14 | 15 | |||||
D | A | B | B | B |
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