UIIC AO 2024-25 Quant Exact Paper | UIIC AO Quant Memory Based Paper | Real Questions & Solutions

Summary

Shubham, the instructor, presents what he describes as a memory-based reconstruction of the UIIC AO 2024–25 Quantitative Aptitude paper, including questions and answer choices. He frames it as a changed exam format, with separate Prelims and Mains, and compares its expected difficulty with other banking and insurance exams. These comments about the exam pattern and difficulty are the instructor’s assessments.

The session covers questions from several areas of quantitative aptitude. Its central lesson is to identify the underlying pattern or relationship first, then use the shortest reliable calculation method.

Main question types and solution approaches

• Wrong-number series: Check consecutive differences and look for patterns in those differences, such as regularly increasing increments. Also test for multiplication-and-addition rules or familiar sequences, including squares of prime numbers. Identify the term that breaks the pattern rather than forcing every term to fit.
• Arithmetic:
  • Age problems: Translate “years ago” and “years from now” into equations. Use averages to find total ages, and convert percentage relationships into simple ratios where possible.
  • Boats and streams: Use upstream speed = boat speed − stream speed and downstream speed = boat speed + stream speed. Find travel time using distance ÷ speed.
  • Work and people: Express total work as workers × days. Convert between groups’ work rates before calculating the remaining time.
  • Train problems: Use differences in crossing times to isolate the length of a bridge or other object. Convert units when comparing speeds or distances.
  • Simple and compound interest: Split the investment according to the stated ratio, calculate interest under each scheme, and use the difference between the interest amounts to find the unknown investment.
  • Profit, markup, and successive discounts: Start with the cost price, calculate the marked price, and apply discounts in sequence. If the final selling price equals the cost price, there is neither profit nor loss.
  • Mensuration and percentages: Find dimensions from the given area, calculate the new area, and compare the areas as a percentage increase or decrease.
  • Partnership: Compare each partner’s capital multiplied by the time it was invested; profit shares follow these capital-time products.
  • Weights and averages: Translate average relationships into equations, use the relationships among the quantities, and calculate the combined average.
• Quadratic-expression comparison: Factor expressions or identify convenient products, taking care with signs. When exact multiplication is cumbersome, compare approximate magnitudes. The instructor demonstrates deciding whether the expressions are equal or which is greater without fully expanding every product.
• Data interpretation: The instructor describes several formats, including a sports-results caselet, a pie-chart set, and a table-based set.
  • For the sports set, convert ratios into counts using the stated totals, use percentages to calculate wins, losses, or draws, and account for how the total matches are divided among those outcomes. Update the counts when the number of matches or outcomes change, then form the requested ratio or percentage.
  • For the dress-sales table, convert ratios or percentages into quantities for each company and category. Apply any stated increases or decreases before calculating totals, differences, or ratios.
  • In general, organize the data in a table and keep categories distinct to reduce errors.
• Approximation: Use nearby whole numbers and convenient fractions to estimate calculations. Recognize familiar squares when approximating square roots, simplify ratios before multiplying or dividing, and check that the estimate is precise enough for the answer choices.

Instructor’s guidance and framing

The instructor emphasizes practicing different question formats and learning the underlying methods rather than relying only on memorized answers. He says the paper was reconstructed with help from people who took the exam and presents it as matching the exam’s questions and options. However, because the paper is memory-based and the subtitles are auto-generated, some wording and numerical details may be inaccurate.

The video also promotes further exam-preparation sessions and discussions of other insurance-exam papers.

Speakers and sources featured

• Shubham: Instructor and mathematics mentor from Banking Mantra; the only person speaking throughout the subtitles.
• Niranjan Jain: Credited by Shubham with helping prepare the paper; mentioned but not heard in the subtitles.
• UIIC AO exam questions: Presented by the instructor as memory-based reconstructions, prepared with help from exam-takers and other contributors.