IPMAT Indore 2022 Quantitative Ability (Short Answer) PYQs

IPMAT Indore 2022 Quant Short Answer PYQ: Typed-Answer Practice

This set holds the Quantitative Ability Short Answer questions from the IPMAT Indore 2022 paper, where every answer is a number you work out rather than an option you pick. It mixes logarithms, matrices, progressions, trigonometry, sets and counting. Aptitude360 includes a worked solution for each question.

Topics in the IPMAT Indore 2022 typed-answer quant set

• Logarithmic equations with squared variable bases
• Area of a region bounded by an absolute value inequality
• Time and distance with changing speed, and profit on mixed purchases
• Triangles formed from points on two parallel lines
• Minimum of a weighted sum of absolute values
• Determinant of powers of a permutation matrix, and the sum of coefficients in a binomial expansion
• Sequences with perfect squares removed, and AP terms that form a GP
• Nested power sets of the null set and round-table seating of couples

Key formulas for this 2022 short answer set

• Log with a squared base: \( \log_{a^{2}} b=\dfrac{1}{2}\log_{a} b \)
• Power set of an \( n \)-element set: \( |P(X)|=2^{n} \)
• Circular arrangements of \( n \) people: \( (n-1)! \)
• Triangles from \( m \) and \( n \) points on parallel lines: \( \dfrac{mn(m+n-2)}{2} \)
• Sum to product: \( \sin A+\sin B=2\sin\dfrac{A+B}{2}\cos\dfrac{A-B}{2} \)

How to prepare for numerical-answer quant

• For a sum of absolute values, list the critical points in order; the minimum lies at the weighted median
• Treat a couple seated together as one unit, then double the count for their swap
• Recheck the final arithmetic, since there are no options to compare against

Best suited for

IPMAT Indore aspirants who have revised algebra, counting and trigonometry and want sectional practice on typed-answer quant.