Start learning →

IIFT Number Theory — practice questions

Explore 3 free Number Theory questions in IIFT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

Practise Number Theory with Quill →

Number Theory questions and exercises with answers

Showing questions 1–3 of 3.

Worked practice questions

GMAT · Quantitativeaptitude · Coordinate Geometry — Memory Flip

Read exercise and reference answers
Matching pairs
  1. A
    Slope formula
    B
    (y₂ − y₁) / (x₂ − x₁)
  2. A
    Distance formula
    B
    √((x₂−x₁)² + (y₂−y₁)²)
  3. A
    Midpoint formula
    B
    ((x₁+x₂)/2, (y₁+y₂)/2)
  4. A
    y-intercept form
    B
    y = mx + b
  5. A
    Point-slope form
    B
    y − y₁ = m(x − x₁)
  6. A
    Parallel lines
    B
    Same slope
Instructions
Flip cards to match each formula to its name.

Open this exercise →

Match the number type to its definition

Read exercise and reference answers
Matching pairs
  1. Left
    Prime
    Right
    Exactly two divisors: 1 and itself
  2. Left
    Composite
    Right
    More than two positive divisors
  3. Left
    Perfect Square
    Right
    Square of an integer
  4. Left
    Co-prime
    Right
    GCD equals 1

Open this exercise →

If 3x + 7y is a multiple of 11, then which of the following is divisible by 11?

  1. 4x + 6y
  2. 4x − 9y
  3. 9x + 4y
  4. x + y + 4
Show answer and solution

Correct answer: B. 4x − 9y

1. Given 3x + 7y ≡ 0 (mod 11). 2. Multiply both sides by 4: 12x + 28y ≡ 0 → x + 6y ≡ 0 → 4x + 24y ≡ 0 → 4x + 2y ≡ 0 (mod 11). Also 4x − 9y has 4x ≡ -2y so 4x − 9y ≡ -2y − 9y = -11y ≡ 0. 3. Therefore 4x − 9y is divisible by 11. _Source: KMAT Karnataka 2021 PYQ Q.34_

Open this question →

How to practise

  1. Choose a Number Theory 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.

More Quantitative Aptitude topics