CAT Linear Equations previous year questions

13 Linear Equations questions from CAT 2021–2025 (Quant), each with its answer and a step-by-step solution.

• Q1If a-6b+6c=4 and 6a+3b-3c=50 , where a , b and c are real numbers, the value of 2a+3b-3c isCAT 2025 Slot 1 · Quant · Linear Equations
• Q20Stocks A, B and C are priced at ₹120, ₹90 and ₹150 per share, respectively. A trader holds a portfolio consisting of…CAT 2025 Slot 1 · Quant · Linear Equations
• Q13In a school with 1500 students, each student chooses any one of the streams out of science, arts, and commerce, by…CAT 2025 Slot 3 · Quant · Linear Equations
• Q13A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these…CAT 2024 Slot 1 · Quant · Linear Equations
• Q2For some constant real numbers p , k and a , consider the following system of linear equations in x and y : px-4y=2…CAT 2024 Slot 3 · Quant · Linear Equations
• Q3For some real numbers a and b , the system of equations x+y=4 and ( a+5 )x+ (b²-15 )y=8b has infinitely many solutions…CAT 2023 Slot 3 · Quant · Linear Equations
• Q15In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each…CAT 2022 Slot 2 · Quant · Linear Equations
• Q20A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to…CAT 2022 Slot 3 · Quant · Linear Equations
• Q6A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a…CAT 2021 Slot 1 · Quant · Linear Equations
• Q3Consider the pair of equations: x²-xy-x=22 and y²-xy+y=34 . If x>y , then x-y equalsCAT 2021 Slot 2 · Quant · Linear Equations
• Q8One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders.…CAT 2021 Slot 3 · Quant · Linear Equations
• Q15A shop owner bought a total of 64 shirts from a wholesale market that came in two sizes, small and large. The price of…CAT 2021 Slot 3 · Quant · Linear Equations
• Q17A tea shop offers tea in cups of three different sizes. The product of the prices, in ₹, of three different sizes is…CAT 2021 Slot 3 · Quant · Linear Equations