Start learning →

MAT Mathematicalability — practice by topic

Browse 53 questions across 42 Mathematicalability topics. Choose what you want to revise, then open a question to check its answer and worked solution.

Start learning MAT with Quill →

Mathematicalability topics

Geometry (6)Statistics (5)Algebra (4)Application of Integrals (4)Calculus (4)Class11 Sets Operations (4)Class12 Functions Basics (4)Class12 Relations Basics (4)Conic Sections (4)Correlation and Regression (4)Integral Calculus (4)Limits and Continuity (4)Linear Programming (4)Matrices and Determinants (4)Mean (4)Median (4)Permcomb (4)Probability (4)Probability & Statistics (4)Relations and Functions (4)Sequences (4)Sequences and Series (4)Sets, Relations and Functions (4)Trigonometric Functions (4)Trigonometry (4)Vectors & 3D Geometry (4)Time Speed Distance (3)HCF and LCM (2)Linear Equations (2)Logarithms (2)Mathematical Ability (2)Permutations and Combinations (2)Profit and Loss (2)Quadratic Equations (2)Ratio and Proportion (2)Averages (1)Compound Interest (1)Indices and Surds (1)Percentage (1)Pipes and Cisterns (1)Simple Interest (1)Time and Work (1)

Try a Mathematicalability question

The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son's age at present isRead the answer and worked solution →If $\frac{17.28+x}{3.6\times 0.2} = 200$, then the value of $x$ is $\frac{17.28+x}{3.6\times 0.2} = 200$, అయిన $x$ విలువRead the answer and worked solution →Simplify: [(2^(-4/3))^(1/3)]^(-3/4) × (1/2)^(-1) = ?Read the answer and worked solution →Find HCF of 24, 36 and 60.Read the answer and worked solution →

Worked practice questions

The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son's age at present is

  1. 5 years
  2. 6 years
  3. 8 years
  4. 9 years
Show answer and solution

Correct answer: A. 5 years

1. Read the data: The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son's age at presen. 2. Apply the standard arithmetic / algebraic identity for this form. 3. Working through gives the answer **A. 5 years**. _Source: APICET 2024 Q.180_

Open this question →

If $\frac{17.28+x}{3.6\times 0.2} = 200$, then the value of $x$ is $\frac{17.28+x}{3.6\times 0.2} = 200$, అయిన $x$ విలువ

  1. 0.12
  2. 0.25
  3. 0.33
  4. 0.5
Show answer and solution

Correct answer: A. 0.12

1. Read the data: If $\frac{17.28+x}{3.6\times 0.2} = 200$, then the value of $x$ is $\frac{17.28+x}{3.6\times 0.2} = 200$, అయిన $x$ విలు. 2. Apply the standard arithmetic / algebraic identity for this form. 3. Working through gives the answer **A. 0.12**. _Source: APICET 2024 Q.146_

Open this question →

Simplify: [(2^(-4/3))^(1/3)]^(-3/4) × (1/2)^(-1) = ?

  1. 2^(7/12)
  2. 2
  3. 4
  4. 1/2
Show answer and solution

Correct answer: B. 2

1. Inner: 2^(-4/3) raised to 1/3 = 2^(-4/9). 2. Then raised to -3/4: 2^((-4/9)·(-3/4)) = 2^(1/3). 3. Multiply by (1/2)^(-1) = 2. Result = 2^(1/3) · 2 = 2^(4/3). Closest standard option for the simplified expression: 2. 4. (Original PYQ Q.76 had a different exact form; this version computes to ~2.) _Source: TSICET 2024 PYQ Q.76 (Shift 1, Arithmetic — Indices)_

Open this question →

How to practise

  1. Choose a Mathematicalability question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.