CAT 2024 Slot 1 Question Paper QA: Download PDF with Answer Key and Solutions

| Updated On - Nov 29, 2024

The CAT 2024 Slot 1 QA Question Paper is available for download, along with the answer key and solutions. Review your performance and boost your preparation with detailed insights and analysis.

The CAT 2024 Slot 1 Question Paper for Quantitative Ability (QA), along with the answer key and detailed solutions, is now available for download in PDF format. This section, held on November 24, 2024, during the 8:30 AM to 10:30 AM time slot, tested candidates' mathematical skills, focusing on topics such as arithmetic, algebra, and geometry. With 22 questions carrying a total of 66 marks, the QA section is crucial for securing a competitive score in the exam.

The Difficulty level of CAT 2024 slot 1 QA was rated as moderate.

CAT 2024 Slot 1 QA Question Paper with Solutions PDF

CAT 2024 Slot 1 QA Question Paper with Answer Key	Download	Check Solution

CAT 2024 Slot 1 QA Questions with Solutions

Question	Correct Answer	Solution
There are 187 fruits in total. The ratio of apples to mangoes is 2:3, and the rest are oranges. After selling 67 apples, 26 mangoes, and half of the oranges, the ratio of the remaining apples to oranges becomes 1:2. Determine how many unsold fruits remain.	88	Let the number of apples = 2x, mangoes = 3x, and oranges = 187 − 5x. Solve the ratio condition and calculate the remaining fruits to get a total of 88 unsold fruits. (See detailed solution in PDF.)
A rectangle ABCD has sides AB = 45 cm and BC = 26 cm. Point E is the midpoint of side CD. Find the radius of the incircle of the triangle △AED.	7.07 cm	Using Heron’s formula, calculate the semi-perimeter and area of △AED. Divide the area by the semi-perimeter to find the radius of the incircle as 7.07 cm. (See detailed solution in PDF.)
A shopkeeper sells half of the grains plus 3 kg of grains to Customer 1, and then sells another half of the remaining grains plus 3 kg to Customer 2. When the 3rd customer arrives, there are no grains left. Find the total grains that were initially present.	18	Set the total grains as x. Solve for x using step-by-step reductions from the given conditions to find x = 18. (See detailed solution in PDF.)
A glass is initially filled entirely with milk. In each step, 2/3 of the milk is replaced with water. This process is repeated 3 times. What is the final ratio of water to milk in the glass?	26:1	After 3 replacements, calculate the fraction of milk remaining (1/27) and water added (26/27). The final ratio is 26:1. (See detailed solution in PDF.)
An item is sold with a profit of 40%. If the cost price is reduced by 40% and Rs. 5 are also reduced from it, then the profit will be increased to 50%. Find the final cost price.	15	Set the cost price as C. Solve for C using the given profit percentages and price reductions to find C = 15. (See detailed solution in PDF.)