CUET Answer Key 2025 (Soon): Get Analysis/ Memory Based Keys

Topic 1 Percentage:

Q: In a class of 40 students, the ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46.

What is the average marks scored by the whole class?

Topic 2 Ratios:
Q: If the ratio between the first number and the second number is 2:3 and that between the second and third number is 5:3, then the first number is:

Topic 3 Mean, Median & Mode:
Q: If the mean of 3, 4, 9, 2k, 10, 8, 6 and (k+6) is 8, and the mode of 2, 2, 3, 2p, (2p+1), 4, 4, 5, 6 (where p is a natural number) is 4, then the value of (k – 2p) is:

Topic 4 Mensuration:
Q: The volume of a cylinder having base radius 3 cm is 396 cm³.

Find its curved surface area (in cm²).

Topic 5 Reasoning:
Q: What should come in the place of the question mark (?) in the following alphanumeric series?

A1X, B4P, E25J, J100F, ?
Q: What will be the next number in the series:

3, 6, 10, 17, 26, ?
Q: In the given analogy, choose the word which will replace the question mark:

NEGI : MVTR :: SING : ?

Q. If the value of the Investment Multiplier is 5 and the increase in national income is ₹800 crore, what is the corresponding increase in investment?
Q. Fiscal deficit is defined as
Q. The narrow measure of money supply is known as:
Q. Which of the following statements about monetary policy tools are correct?
Q. The Paradox of Thrift refers to

CUET Mathematics Memory-Based Questions

Linear Programming:
Q: The feasible region is bounded by the inequalities:
3x + y ≥ 90, x + 4y ≥ 100, 2x + y ≤ 180, x, y ≥ 0.
If the objective function is Z = px + qy and Z is maximised at points (6, 18) and (0, 30), then the relationship between p and q is:
Q: A person wants to invest at least ₹20,000 in plan A and ₹30,000 in plan B. The return rates are 9% and 10% respectively. He wants the total investment to be ₹80,000 and investment in A should not exceed investment in B. Which of the following is the correct LPP model (maximise return Z)?
Matrices (Adjoint Property)
Q: For a 3×3 matrix A with |A| = 3, the determinant of adj(A) is:
Q: For a matrix A of order 3×3, which of the following is true?
Q: If A is a square matrix such that adj(adj A) = A, then |A| is:
Determinants (Adjoint & Inverse Properties)
Q: If A is a 2×2 matrix and |A| = 4, then |A⁻¹| is:
Vectors and 3D Geometry:
Q: The angle between vectors a = î + ĵ − 2k̂ and b = 3î − ĵ + 2k̂ is:
Q: Direction cosines of a vector perpendicular to a = î + 2ĵ + 3k̂ and b = 2î − ĵ + k̂ are:
Q:  If vectors u, v, and w satisfy u + v + w = 0, and u and v are unit vectors, while |w| = √3, then the angle between v and w is:

Q1. Find the next term in given series.

2, 5, 10, 17, 26,  ?

(a) 35

(b) 36

(c) 37

(d) 47

Q2. P is the brother of Q and R. S is R’s mother. T is P’s father. Which of the following statements cannot be definitely true?

(a) T is Q’s father.

(b) S is P’s mother.

(c) P is S’s son.

(d) Q is T’s son.

Q3. Statements:

(I) All Forces are energies

(II) All energies are powers

(III) No power is heat

Q4. An accused is more powerful than the deceased. Police are less powerful than the court but more powerful than the lawyer. Accused bends his head before police. Who is the most powerful?

(a) Court

(b) Accused

(c) Police 

(d) Lawyer

Q5. Raj is standing in the middle of a square field. He starts walking diagonally to North—East and after reaching midway, he turns right and reaches the far end of the field. Then, he turns right and starts walking. In the midway, he again turns right and starts walking. In halfway, he turns to his left and reaches a new far end. In what direction is Raj now?

(a) North

(b) South

(c) North—West 

(d) South—West

Q1. The value of 𝜆, so that the vector 𝑎⃗ = 2𝑖̂+ 𝜆𝑗̂+ 𝑘̂ and 𝑏⃗⃗ = 𝑖̂− 2𝑗̂+ 3𝑘̂ are perpendicular to each

other, is:

(a)5/2 

(b) 5/4

(c) 5

1. d) 7/2

Q2. If B is a non-singular 4 × 4 matrix and A is its adjoint such that |𝐴| = 125, then |𝐵| is

(a) 5

(b) 25

(c) 125

(d) 625

Q3. The vertices of a closed convex polygon representing the feasible region of the LPP with objective function 𝑧 = 5𝑥 + 3𝑦 are (0, 0,) (3, 1), (1, 3) and (0, 2). The maximum value of 𝑧 is

(a) 6

(b) 18

(c) 14

(d) 15

Q4. Corner points of a feasible bounded region are (0, 10), (4, 2), (3, 7) and (10, 6). Maximum value 50 of objective function 𝑧 = 𝑎𝑥 + by occurs at two points (0, 10) and (10, 6). The value of a and b are:

(a) a = 5, b = 2

(b) a = 4, b = 5

(c) a = 2, b = 5

(d) a = 5, b = 4

Q5.If A and B are square matrices of order 3 such that |𝐴| = −1, |𝐵| = 3 then |3AB| is:

(a) – 9

(b) – 81

(c) – 27

(d) 81

Q1. If L + M implies L is the husband of M,

L / M implies L is the sister of M and

L * M implies L is the son of Y, then

How is T related to W from the following statement: T * U + V / W?

(a) Nephew

(b) Uncle

(c) Father

(d) Son

Q2. Ram walked 30m towards the south. Then he turned right and walks 40m, then he moved towards west and curves a distance of 50m and then moved towards north and walked 30m. In which direction and how many meters is he from the starting position?

(a) (East,30)

(b) (South,90)

(c) (West, 90)

(d) (West, 40)

Q3. Find the missing term in the given series

5, 2, 7, 9, 16, 25, ?

(a) 41

(b) 45

(c) 48

(d) 52

Q4. In a row of 40 boys, Satish is 10 places to the right of Rohan and Kewal is 10 places to the left of Vilas. If Vilas was twenty-sixth from the left and there were three boys between Kewal and Satish , what was the position of Rohan in the row?

(a) 10th from the right end

(b) 10th from the left end

(c) 39th from the right end

(d) Data inadequate

Q5. Five students are standing in a circle and all are facing towards the centre of circle. Apurva is on left of

Abhishek. Alok is on the left of Apurva. Abinav is b/w Alok and Ankur. Who is sitting next to Abhinav on his

immediate Right.

(a) Alok

(b) Abhishek

(c) Apurva

(d) Ankur

Q. A boy moves 3 km North, then turns right and moves 4 km, then turns right again and moves 3 km. How far is he from the starting point?

Q. 4, 9, 16, 25, ?, 49 — Find the missing number.

Q. 8, 6, 9, 23, 87, ? — Find the missing number.

Q. If 6 + 2 = 16, 7 + 3 = 22, then 8 + 4 = ?

Q: Infrasonic sound is hearable by?

Q: Find the value of x and y in the following linear equation:

Q: How much will the water level of a cylinder filled with water increase after putting a ball in it?

Q: Find the compound interest if the quarterly rate is 40% and the principal amount is 80,000.

Q: Ratio of height of a triangle when the angle changes from 30 degrees to 60 degrees.

Q: Who is the Chief Head of Experiment on Atomic Energy?

Q: How many times in a day the hands of a clock are at the angle of 90 degree?

Q: Ratio of height of a triangle when the angle changes from 30 degrees to 45 degrees.

Q: Which satellite was launched on 29 January 2025?

Q: Maximize Z = 2x + 3y, subject to: x + y ≤ 8, x ≥ 0, y ≥ 0

Which point gives the maximum value?

Q: In a random experiment, the probability of getting a head is 0.5. What is the probability of getting at least one head in three coin tosses?

Q: A feasible region is bounded by 3x + 2y ≤ 150, x + 5y ≥ 115, and x + y ≥ 80. Which region could represent the solution space?

Q: A random variable X has a probability distribution: X = 0, 1, 2; P(X) = k, 2k, 3k. Find the value of E(X).

Q: Let f: R → R be defined by f(x) = |x|. Which of the following is true?

Q: Which of the following diseases is caused due to protein deficiency?

Q: Arrange the following states in order of their formation:

(A) Mizoram (B) Jharkhand (C) Meghalaya (D) Chhattisgarh

Q: India’s first 3D-printed post office was inaugurated in which city?

Q: A student scores 180 marks in an exam and fails by 10%. The pass mark is 200. What are the maximum marks?

Q: If in a code, “DOOR” is written as “FQQT”, then “LOCK” is written as:

Q: Aman and Rohit are partners sharing profits in 3:2. Interest on capital @ 10% was omitted. Their capitals were ₹60,000 and ₹40,000. Find the adjustment entry.

Q: According to the Indian Partnership Act, 1932, which section deals with registration of partnership firms?

Q: Goodwill is considered as:

(A) Tangible Asset (B) Fictitious Asset (C) Current Asset (D) Intangible Asset

Q: The minimum subscription must be received within how many days from the closure of the issue?

Q: The formula for Debt-Equity Ratio is:

Q: The Brahmaputra River originates from:

Q: In which year was TATA Airlines (now Air India) established?

Q: If a + b = 12 and ab = 27, find the value of a2 + b2.

Q: Which was ISRO’s first satellite launch project?

Q: If the ratio of boys to girls is 3:4 and there are 84 girls, how many boys are there?

Q: A is the sister of B. B is the son of C. D is C’s father. How is D related to A?

Q: The average of 6, 9, 11, 14, and a number x is 11. What is the value of x?

Q: In which state is the Mollem National Park located?

Q: The total cost of 7 chairs and 3 tables is ₹2400. The total cost of 5 chairs and 3 tables is ₹5400. What is the price of one chair and one table?

Q: If the line 5x−3y=9 passes through a point on the y-axis, what are the coordinates (x,y) of the point?

Q: Who was the first woman in the world to travel to space?

Q: The city of Baghdad is located on the bank of which river?

Q: Who was India’s first test-tube baby?

Q: The 38th Parallel separates which two countries?

Q: What is the scientific name of Pineapple?

Q: A man observes the top of a tower at an angle of elevation of 30°. If he is standing 60 m from the base, what is the height of the tower?

Q: What is the relation among Mean, Median, and Mode?

Q: Choose the correct water image of the letter ‘W’.

Q: Which Indian classical dance form originates from Kerala and is performed by women wearing white and gold costumes?

Q: In the hydrogen spectrum, the shortest wavelength of which series is minimum?

Q: Which element when doped in silicon produces an n-type semiconductor?

Q: What is the electric field at a distance 2 cm from a point charge of +2 μC in air? (Take ε₀ = 8.85 × 10⁻¹² C²/N·m²)

Q: A battery of emf 2 V and internal resistance 1 Ω is connected to a 3 Ω resistor. What is the current in the circuit?

Q: When the lower half of a convex lens is covered, what is the effect on the image formed?

Q: If A is a 2×2 matrix and |A| = 3, then the value of |2A| is:

Q: A coin is tossed three times. What is the probability of getting exactly two heads?

Q: Let R be a relation on the set of lines such that l₁ R l₂ if l₁ is perpendicular to l₂. Then R is:

Q: The probability of A hitting a target is 2/3, and that of B is 1/2. If both shoot independently, the probability that at least one hits is:

Q: The probability of not getting 53 Mondays in a leap year is:

Q: The book Wings of Fire is co-authored by which two individuals?

Q: Who is known as the ‘Bird Man of India’?

Q: Where was the 2024 Men’s Hockey Olympic Qualifier held?

Q: The ‘Open Door Policy’ is associated with which country’s foreign policy?

Q: A father’s present age is 9 times the sum of the ages of his two daughters. After 6 years, his age will be 3 times that sum. What is his current age?

Q: An A.P. has first term 5 and last term 65 with 13 terms. What is the common difference?

Q: Study of Lizards is called:

Q: In a class of 40 students, Arjun ranks 12th from the top and 18th from the bottom. How many students are above him?

Q: Hirakud Dam is constructed across which of the following rivers?

Q: Which of the following Constitutional Amendments lowered the voting age from 21 years to 18 years in India?

Q: Arunachal Pradesh shares its borders with all the following countries except:

Q: Which classical dance form was officially recognised on 15 November 2000?

Q: A, B, and C shared profits 3:2:1. C died on August 1, 2023. Profit for the year is ₹1,20,000. How much share of profit is to be credited to C’s capital account (till August)?

Q: Ravi and Mohit are partners sharing profits in the ratio 4:1. They decide to share future profits equally. Calculate the gaining ratio.

Q: A company forfeited 300 shares of ₹10 each, ₹8 called up for non-payment of final call of ₹2. These were reissued at ₹9 as fully paid-up. Amount transferred to capital reserve?

Q: Net profit = ₹80,000, Normal Rate of Return = 10%, Capital Employed = ₹6,50,000. Calculate goodwill using capitalisation method.

Q: Revenue from Operations = ₹9,00,000; Debtors = ₹75,000. Calculate Trade Receivables Turnover Ratio.

GENERAL TEST

Q: Find the compound interest on ₹10,000 for 2 years at 10% per annum.

Q: Who won the Nobel Peace Prize 2024 for contributions to peace and nuclear disarmament from Japan?

Q: A cone has a radius of 7 cm and height of 24 cm. Find its curved surface area. (Use π = 22/7)

Q: If the system of equations ax + by = c and 2ax + 2by = 2c has infinitely many solutions, then the value of a, b and c must satisfy:

Q: Who is popularly known as the “Missile Woman of India”?

Q: Which Indian city is known as the “Manchester of India”?

Q: When was the Marathi language declared a classical language in India?

Q: India shares its longest land boundary with which country?

Q: Match the following regional names of ‘Slash and Burn’ agriculture:

Q: The Tyndall effect is associated with which type of mixture?

Q: A can do a work in 12 days, B in 18 days. They work together for 3 days. What part of the work is left?

Q: When was the ‘Make in India’ initiative launched?

Q: Which Mughal Emperor constructed the Ibadat Khana for religious debates?