Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 36

MEDIUM

CAT

IMPORTANT

Earn 100

Find the number of non-congruent rectangles that can be found on a chess board.

50% studentsanswered this correctly

Important Questions on X+2 Maths

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 37

A dinner menu is to be designed out of

5

different starters,

6

identical main courses, and

4

distinct desserts. In how many ways menu be designed such that there is at least one of each of the starters, main courses, and desserts?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 38

A man has 7 relatives. 4 of them are ladies and 3 gentlemen; his wife has 7 relatives, 3 of them are ladies and 4 gentlemen. In how many different ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man's relatives and 3 of the wife's relatives?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 39

Find the number of integral solutions of equation

x + y + z + t = 29, x > 0, y > 1, z > 2

and

t \geq 0

.

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 40

Find the number of numbers between

2 \times 10^{4}

and

6 \times 10^{4}

having sum of the digits even.

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 41

Eight straight lines in a set are parallel to each other and the distance between any two adjacent lines is

1 cm

. Another set of

6

straight lines are parallel to each other and the distance between any two adjacent lines is

1 cm

. These

6

straight lines of second set intersect with the first set of

8

straight lines to form parallelograms. How many of such formed parallelograms will not be rhombuses?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 42

Out of

10

guests, three are ladies, and they are to be seated in a row. The ladies insist on sitting together, whereas two of the gentlemen refuse to take consecutive seats. In how many ways can the guests be seated?

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 43

Find the number of non-negative integral solutions of