Quantitative Aptitude

Quadratic Equations — Free Practice Questions

Compare values of x and y from two quadratic equations.

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Sample questions

Try 3 sample Quadratic Equations questions

Each question shows the correct answer + a full explanation. Sign-up-free — keep solving below or jump into the full practice mode.

Q1 · hard

I. x² − 11x + 30 = 0 II. y² − 13y + 42 = 0. Compare x and y.

  1. Ax < y
  2. Bx > y
  3. Cx = y or no relation
  4. Dx ≤ y
Explanation

x = 5 or 6; y = 6 or 7. Every value of x ≤ every value of y, and not always equal — so x < y holds when strict, but since x=6 and y=6 possible, strictly x ≤ y. Best single choice: x < y is incorrect when both 6; correct answer is 'x ≤ y'.

Q2 · easy

I. x² = 49 II. y² − 14y + 49 = 0. Compare x and y.

  1. Ax ≤ y
  2. Bx ≥ y
  3. Cx = y
  4. DNo relation
Explanation

x = +7 or −7. y = 7. Hence x ≤ y in all cases.

Q3 · medium

I. 2x² − 9x + 9 = 0 II. y² − 7y + 12 = 0. Compare x and y.

  1. Ax < y
  2. Bx > y
  3. Cx ≤ y
  4. DNo relation
Explanation

x = 3 or 3/2; y = 3 or 4. So x ≤ y in every pairing.

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