Start learning →

IBPS RRB Officer Scale 1 Quadratic Equations — practice questions

Explore 33 free Quadratic Equations questions in IBPS RRB Officer Scale 1 Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

Practise Quadratic Equations with Quill →

Quadratic Equations questions and exercises with answers

Showing questions 1–30 of 33.

If x² − 15x + 56 = 0 and y = √64, establish the relation between x and y.Read the answer and worked solution →If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is the relation between x and y?Read the answer and worked solution →If 4x² + 12x + 9 = 0 and 2y² + 11y + 14 = 0, establish the relation between x and y.Read the answer and worked solution →A hall's carpet area is 300 square metres and its length is one metre more than twice its breadth. Setting up this problem gives a:Read the answer and worked solution →For the prayer hall, the breadth comes out as 12 m and the length as:Read the answer and worked solution →Solving the hall equation gives x = 12 or x = minus 12.5. The negative value is rejected because:Read the answer and worked solution →Who are believed to have been the first to solve quadratic equations?Read the answer and worked solution →Which Greek mathematician found lengths that solve quadratic equations by a geometric approach?Read the answer and worked solution →The formula now called the quadratic formula was derived in C.E. 1025 by:Read the answer and worked solution →Al-Khwarizmi, who studied several types of quadratic equations around C.E. 800, was a mathematician from:Read the answer and worked solution →John and Jivanti had 45 marbles together. After each lost 5, the product of their marbles was 124. This leads to a:Read the answer and worked solution →Each toy cost 55 minus the number of toys made that day. Total cost 750. The unknown number satisfies:Read the answer and worked solution →Before deciding whether an equation is quadratic, you often need to:Read the answer and worked solution →An equation that looks cubic may turn out, after simplifying, to be:Read the answer and worked solution →The zeroes of the quadratic polynomial and the roots of the matching quadratic equation are:Read the answer and worked solution →Factorising splits the quadratic into two linear factors; the roots come from setting each factor to:Read the answer and worked solution →Splitting the middle term to factorise a quadratic was learnt in which class?Read the answer and worked solution →When a factor is repeated, the root is:Read the answer and worked solution →Sunita's age satisfies x squared equals 9. Her present age is:Read the answer and worked solution →Besides factorisation, a quadratic can be solved by the method of:Read the answer and worked solution →b squared minus 4ac is called the:Read the answer and worked solution →If the discriminant is zero, the two roots are:Read the answer and worked solution →A negative discriminant means no real roots because no real number has a negative:Read the answer and worked solution →A pole must be 7 m farther from gate A than gate B on a circular park of diameter 13 m. The pole goes:Read the answer and worked solution →Solutions of a word problem should be verified against:Read the answer and worked solution →Catch the quadratic makersRead the answer and worked solution →Pop the quadratic pioneersRead the answer and worked solution →Steer into the quadratic laneRead the answer and worked solution →Slice the quadratic wordsRead the answer and worked solution →Real or notRead the answer and worked solution →

Worked practice questions

If x² − 15x + 56 = 0 and y = √64, establish the relation between x and y.

  1. x ≤ y
  2. x ≥ y
  3. x > y
  4. x < y
Show answer and solution

Correct answer: A. x ≤ y

1. x² − 15x + 56 = 0 factors as (x − 7)(x − 8) = 0, so x = 7 or 8. 2. y = √64 = 8 (principal square root). 3. Both possible x values (7 and 8) are ≤ 8, so **x ≤ y**. _Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.41_

Open this question →

If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is the relation between x and y?

  1. x is always greater than y
  2. x is always less than y
  3. x and y have no fixed relation
  4. x is always equal to y
Show answer and solution

Correct answer: C. x and y have no fixed relation

1. x² − 6x + 9 = (x − 3)² = 0 ⇒ x = 3. 2. y² − 3y − 18 = (y − 6)(y + 3) = 0 ⇒ y = 6 or y = −3. 3. Against x = 3: y = 6 gives x < y, but y = −3 gives x > y — so **no fixed relation** holds. _Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.42_

Open this question →

If 4x² + 12x + 9 = 0 and 2y² + 11y + 14 = 0, establish the relation between x and y.

  1. x > y
  2. x < y
  3. x ≤ y
  4. x = y
Show answer and solution

Correct answer: A. x > y

1. 4x² + 12x + 9 = (2x + 3)² = 0 ⇒ x = −1.5. 2. 2y² + 11y + 14 = 0 ⇒ y = (−11 ± √(121 − 112))/4 = (−11 ± 3)/4 ⇒ y = −2 or −3.5. 3. x = −1.5 is greater than both −2 and −3.5, so **x > y**. _Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.45_

Open this question →

How to practise

  1. Choose a Quadratic Equations 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

Square RootsSimple InterestMensurationPercentagesShortcutsSimple & Compound InterestSquares And RootsMultiplication