Full Quant CAT 2025 Slot 3 Actual Questions PDF with Detailed Solutions

Breakup G Strategy | 1.2 / 0.8 Percentage + Profit Loss | Moderate

The monthly sales of a product from January to April were 120, 135, 150 and 165 units respectively. The cost per unit of the product was Rs 240 per unit and a fixed marked price was used for the product in all the four months. However, 20%, 10% and 5% discount on the marked price was offered in January, February, March respectively while no discount were given in April.If the total profit from January to April was Rs 138825, then the marked price (in Rs) is equal to, say:

Breakup G Strategy | DPAC Logarithm + Equations | Hard

The sum of all possible real values of x for which log_x-3(x² − 9) = log_x-3(x + 1) + 2 is :

X Maro G Strategy | Surds and Indices | Moderate

If 12¹²^x × 4²⁴^{x +}¹² × 5²^y = 8⁴^z × 20¹²^x × 243^3x-6 , where x, y and z are natural numbers, then x+y+z equals_____

Breakup G Strategy | AP , GP + Equation | Moderate

In an arithmetic progression, if the sum of fourth, seventh and tenth term is 99, and the sum of the first fourteen terms is 497, then the sum of first five terms is : [TITA]

Visual lens G Strategy | Number Systems | Easy

The sum of all the digits of the number (10⁵⁰ + 10²⁵ − 123), is

Breakup G Strategy | Average + Percentage + Equations | Moderate

The average salary of 5 managers and 25 engineers in a company is Rs 60000. If each of the manager receive 20% hike in the salary while the salary of the engineer remains unchanged , the average salary of all 30 employees increased by 5%.The average salary, of engineer , in rs , is :

X maro G Strategy | Inequalities | Easy

For real values of x, the range of the function f(x) = (2x − 3)/(2x² + 4x − 6)

Concepts of Algebra | Moderate

f(x) = (x²+ 3x)(x² + 3x + 2), then the sum of all real roots of the equation √f(x) + 1 = 9701, is

Square ±2 G Strategy | Easy

If (x²+ 1/x²) = 25 and x > 0, then the value of (x⁷ + 1/x⁷) is:

Visual lens G Strategy | Set theory + Maximum/Minimum | Moderate

In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students chose chemistry. All students chose at least one of the three subjects and at least one student chose all three subjects. The number of students who chose both physics and chemistry is equal to the number of students who chose both chemistry and mathematics, and this is equal to half the number of students who chose both mathematics and physics. What is the maximum possible number of students who chose physics but not mathematics?

Visual lens G Strategy (Concept of similarities) | Easy

In a triangle ABC, AB=AC=12 cm and D is a point on side BC such that AD= 8 cm. If AD is extended to point E such that angle ACB = angle AEB , then length in cm of AE is :

Visual G Strategy | Triplets + Area of Triangles | Moderate

A triangle ABC is formed with AB = AC = 50 cm and BC = 80 cm. Then, the length, in cm , of all three altitudes of the triangle ABC is….. …

Visual G Strategy | Cyclic quadrilateral+ Area of trapezium | Moderate

ABCD is a trapezium in which AB is parallel to DC and AD is perpendicular to AB and AB = 3DC. If a circle inscribed in a trapezium touching all the sides has a radius 3cm , then the area in sq cm , of the trapezium is :

Breakup G Strategy: Numbers + Maximum/Minimum | Hard

Let p, q and r be three natural numbers such that their sum is 900, and r is a perfect square whose values lies between 150 and 500.If p is less than 0.3q and not more than 0.7q, then the sum of the maximum and minimum possible values of p is: _____

Concepts of Number system + Maximum/Minimum | Hard

For a 4 digit number greater than 1000 , sum of the digits in thousands , hundreds and tens places is 15.And the sum of digits in hundreds , tens and units place is 16.Also the digits in tens place is 6 more than the digit in the unit place. The difference between the largest possible and smallest possible value of the number is :

Breakup G Strategy | Linear Equation + Maximum/Minimum | Moderate

In a school with 1500 students , each students chooses one of the streams out of science , arts and commerce by paying a fee of rs 1100 , 1000 and 800 respectively. The total fees paid by all the students is RS. 15,50000.If the number of science students is not more than the number of arts students , then the maximum possible number of science students in school is : [TITA] _______

Breakup G Strategy | Average + Percentage + Equations | Moderate

The average salary of 5 managers and 25 engineers in a company is Rs 60000. If each of the manager receive 20% hike in the salary while the salary of the engineer remains unchanged , the average salary of all 30 employees increased by 5%.The average salary, of engineer , in rs , is :

Breakup G Strategy: Numbers + Maximum/Minimum | Hard

Let p, q and r be three natural numbers such that their sum is 900, and r is a perfect square whose values lies between 150 and 500.If p is less than 0.3q and not more than 0.7q, then the sum of the maximum and minimum possible values of p is: _____

LCM G Strategy Concept of Time and Work | Hard

Teams A, B, and C consist of five, eight, and ten members, respectively such that the members within each team is equally productive. Working separately teams A , B and C can complete certain job in 40 hours , 50 hours and 4 hours respectively Two members from team A, three members from team B, and one member from team C together starts the work and the member from team C left the work after 23 hours. The number of additional member(s) required from team B , that would be required to replace the member from team C , to finish the job in next one hour is :

Breakup G Strategy: TSD + Equation | Moderate

Rahul starts on his journey at 5pm at a constant speed so that he reaches his destination at 11pm same day . However , on his way , he stops for 20 minutes and after that, increases his speed by 3 km per hour to reach on time. If he had to stop for 10 minutes more , he would have had to increase his speed by 5km per hour to reach on time.His initial speed in km per hour was :

Breakup G Strategy: Time Speed + Percentage | Moderate

Ankita walks from A to C through B, and runs back through the same route at a speed that is 40% more than her walking speed. The total time taken is 3 hours 30 minutes to walk from B to C as well as to run from B to A. The total time, in minutes, required to walk from A to B and run from B to C is: [TITA]

Breakup G Strategy : Mixture + Equation | Moderate

Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken out from A and poured into B. After mixing well, an equal volume is taken out from B and poured into A. If the ratio of alcohol and water in A is 15:4, then the volume, in litres, initially taken out from A, is [TITA]

LCM G Strategy | Time and Work | Easy

The rate of water flow through three pipes A, B and C are in the ratio 4 : 9 : 36. An empty tank can be filled by pipe A in 15 hours. If all pipes are used simultaneously to fill up this empty tank, the time, in minutes, taken to fill up the tank entirely tank completely is nearest to :