2. What is CAT MATHS ?
CAT MATHS is the combination of 4 major topics and
one minor topic. The topics are extensions of school
mathematics and in questions terms, the level of
questions is harder than school question.
7. TOPICS
MODERN MATHEMATICS
NUMBER SYSTEM
ALGEBRA
GEOMETRY
ARITHMATIC
8. FURTHER SUB TOPICS
NUMBER SYSTEM ARITHMATIC ALGEBRA GEOMETRY
• NUMBER TYPES • PERCENTAGE • ALGEBRIC EQUATIONS • MANSURATION
• INTEGERS • PROFIT LOSS • FUNCTIONS • TRIGONOMETRY
• LCM HCF • AVERAGES • LINEAR EQUATIONS • PLANE GEOMETRY
• DIVISIBILTY RULES • RATIO • GRAPHS • CO ORDINATE
• NUMBER OF ZEROS • PROPORTION • SERIES , AP,GP,HP.
MODERN MATH’S
• TO FIND LAST DIGIT • TIME AND WORK • PROBABILITY
• UNIT DIGIT • TIME ,DISTANCE • PERMUTATIONS ,COM.
SPEED
• TENS DIGIT
• TIME ,CLOCK
• CALANDERS
9. An example of a NUMBER SYSTEM QUESTION
139 persons have signed up for an elimination tournament. All players are to be
paired up for the first round, but because 139 is an odd number one player gets a
bye, which promotes him to the second round, without actually playing in the first
round. The pairing continues on the next round, with a bye to any player left over. If
the schedule is planned so that a minimum number of matches is required to
determine the champion, the number of matches which must be played is
A. 136
B. 137
C. 138
D. 139
10. An example of a Arithmetic
A college has raised 75% of the amount it needs for a new building by receiving an
average donation of Rs. 6 from the people already solicited. The people already
solicited represent 60% of the people, the college will as for donations. If the college is
to raise exactly the amount needed for the new building, what should be the average
donation from the remaining people to be solicited ?
A. 300
B. 250
C. 400
D. 500
11. Examples of an Algebra
The number of common terms in the two sequences 17, 21, 25,…, 417 and
16, 21, 26,…, 466 is
1. 78
2. 19
3. 20
4. 77
A quadratic function ƒ(x) attains a maximum of 3 at x = 1. The value of the function
at x = 0 is 1. What is the value ƒ(x) at x = 10?
A. –119
B. -159
C. -110
D. -180
12. An example of Geometry
In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm
respectively. Let D be a point on the line segment BC such that AD is
perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle
circumscribing the triangle ABC?
A. 17.05
B. 27.85
C. 22.45
D 26.25