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CMAT Topics

Arithmetic

Arithmetic forms the foundation of quantitative aptitude. It covers number operations, fractions, percentages, ratios, averages, profit and loss, interest, work and time, distance, and other real-life mathematical applications frequently asked in TU CMAT entrance examinations.

Practice MCQs for Arithmetic

Fundamental Principles

Real Numbers

Real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Fractions

A fraction represents a part of a whole and is expressed in the form a/b where b ≠ 0.

Decimals

Decimals are another way of representing fractions using place values based on powers of ten.

Ratio and Proportion

A ratio compares two quantities, while a proportion states that two ratios are equal.

Percentage

Percentage means 'per hundred' and is used to express a quantity as a fraction of 100.

Powers and Roots

Powers represent repeated multiplication while roots represent inverse operations of powers.

Properties of Integration

Integration is the reverse process of differentiation and follows properties such as linearity, constant multiple rule, and sum rule.

Complex Numbers

Complex numbers are numbers of the form a + bi where i² = -1.

Simple Interest

Interest calculated only on the principal amount is called simple interest.

Compound Interest

Interest calculated on principal plus accumulated interest is called compound interest.

Average

Average is the sum of observations divided by the number of observations.

HCF and LCM

Highest Common Factor (HCF) is the largest common divisor, while Least Common Multiple (LCM) is the smallest common multiple of given numbers.

Essential Formulation Tips

  • Convert percentages into fractions whenever possible for faster calculations.
  • Memorize common fraction-decimal-percentage conversions.
  • Use ratio simplification before solving proportion problems.
  • Remember squares up to 30 and cubes up to 20.
  • For average problems, total = average × number of items.
  • In work problems, work done = rate × time.
  • Always check units before solving speed and distance questions.

Shortcut Execution Techniques

  • 50% = 1/2, 25% = 1/4, 20% = 1/5, 12.5% = 1/8.
  • To divide by 5, multiply by 2 and divide by 10.
  • For successive percentage changes, use net effect formula.
  • For average speed over equal distances: Average Speed = 2ab/(a+b).
  • Use LCM method to solve work and time questions quickly.
  • Use digit sum tests to check arithmetic calculations.

Contextual Inquiries (FAQs)

Q: What arithmetic topics are important for TU CMAT?

A: Fractions, percentages, ratio and proportion, averages, profit and loss, interest, work and time, speed-distance-time, HCF-LCM, and number properties are among the most important topics.

Q: Are integration questions asked in TU CMAT?

A: Only basic concepts may appear. Advanced calculus is usually not heavily emphasized.

Q: How important are word problems?

A: Very important. A significant portion of arithmetic questions are presented as real-life word problems.