MAH MCA CET Practice Set 1
MAH MCA CET · 2026 · with answers and explanations
- questions
- 30
- Total marks
- 30
- Duration
- 90 minutes
- Negative marking
- No
Subjects: Mathematics · Aptitude (Reasoning) · Information Technology · English
Question 1
Mathematics · 1 marksFactorize: x² − 5x + 6
- A.(x − 2)(x − 3)
- B.(x − 1)(x − 6)
- C.(x + 2)(x + 3)
- D.(x − 2)(x + 3)
Correct answer: A
Explanation: We need two numbers that multiply to 6 and add to −5: −2 and −3. So x² − 5x + 6 = (x−2)(x−3).
Question 2
Mathematics · 1 marksSolve for x: x² = 49
- A.x = 7 only
- B.x = ±7
- C.x = −7 only
- D.x = 14
Correct answer: B
Explanation: Taking the square root of both sides gives x = ±7.
Question 3
Mathematics · 1 marksWhat is the value of log₁₀(1000)?
- A.2
- B.3
- C.10
- D.30
Correct answer: B
Explanation: 10³ = 1000, so log₁₀(1000) = 3.
Question 4
Mathematics · 1 marksFind the sum of the first 10 terms of the AP: 2, 5, 8, 11, ...
- A.155
- B.145
- C.150
- D.160
Correct answer: A
Explanation: Sum = n/2 [2a + (n−1)d] = 10/2 [4 + 9×3] = 5 × 31 = 155.
Question 5
Mathematics · 1 marksIn how many ways can the letters of the word "MCA" be arranged?
- A.3
- B.6
- C.9
- D.27
Correct answer: B
Explanation: All 3 letters are distinct, so the number of arrangements is 3! = 6.
Question 6
Mathematics · 1 marksThe equation of a circle with center (0, 0) and radius 5 is:
- A.x² + y² = 5
- B.x² + y² = 25
- C.x + y = 25
- D.x² − y² = 25
Correct answer: B
Explanation: The standard equation of a circle centered at the origin with radius r is x² + y² = r². Here r = 5, so x² + y² = 25.
Question 7
Mathematics · 1 marksThe derivative of f(x) = x³ − 3x² + 2 at x = 1 is:
- A.−3
- B.0
- C.3
- D.−6
Correct answer: A
Explanation: f'(x) = 3x² − 6x. At x = 1: f'(1) = 3 − 6 = −3.
Question 8
Mathematics · 1 marksEvaluate: ∫₀¹ (2x + 1) dx
- A.2
- B.1
- C.3
- D.0.5
Correct answer: A
Explanation: ∫(2x+1)dx = x² + x. Evaluating from 0 to 1: (1+1) − 0 = 2.
Question 9
Mathematics · 1 marksA fair die is rolled once. What is the probability of getting a number greater than 4?
- A.1/6
- B.1/3
- C.1/2
- D.2/3
Correct answer: B
Explanation: Numbers greater than 4 are 5 and 6, giving 2 favorable outcomes out of 6: probability = 2/6 = 1/3.
Question 10
Aptitude (Reasoning) · 1 marksComplete the series: 4, 8, 16, 32, ?
- A.48
- B.64
- C.56
- D.40
Correct answer: B
Explanation: Each term is double the previous term: 32 × 2 = 64.
Question 11
Aptitude (Reasoning) · 1 marksA square sheet of paper is folded in half twice, and then a hole is punched near a corner. When unfolded, how many holes will there be?
- A.2
- B.4
- C.8
- D.1
Correct answer: B
Explanation: Two folds create 4 layers of paper (2²), so punching through all layers produces 4 holes when unfolded.
Question 12
Aptitude (Reasoning) · 1 marksWhat is the age of Ravi? Statement I: Ravi is 5 years older than his brother. Statement II: Ravi's brother is 20 years old.
- A.Statement I alone is sufficient
- B.Statement II alone is sufficient
- C.Both statements together are sufficient, but neither alone is sufficient
- D.Neither statement is sufficient even together
Correct answer: C
Explanation: Statement I alone only gives a relative age difference. Statement II alone gives the brother's age but not Ravi's. Together, Ravi's age = 20 + 5 = 25, so both are needed.
Question 13
Aptitude (Reasoning) · 1 marksIf in a code, 'TABLE' is written as 'UBCMF', how is 'CHAIR' written?
- A.DIBJS
- B.DIBJT
- C.DJBJS
- D.EIBJS
Correct answer: A
Explanation: Each letter is shifted forward by one: C→D, H→I, A→B, I→J, R→S, giving DIBJS.
Question 14
Aptitude (Reasoning) · 1 marksStatement: "All that glitters is not gold." Which of the following best captures the meaning?
- A.Everything that glitters is gold
- B.Not everything that glitters is gold
- C.Nothing that glitters is gold
- D.Gold never glitters
Correct answer: B
Explanation: The idiom means that not everything that appears attractive or valuable actually is.
Question 15
Aptitude (Reasoning) · 1 marksFind the next term in the series: 1, 1, 2, 3, 5, 8, 13, ?
- A.18
- B.20
- C.21
- D.24
Correct answer: C
Explanation: This is the Fibonacci sequence, where each term is the sum of the previous two: 8 + 13 = 21.
Question 16
Information Technology · 1 marksWhich of the following is responsible for performing arithmetic and logical operations in the CPU?
- A.Control Unit
- B.ALU
- C.Cache
- D.Register File
Correct answer: B
Explanation: The Arithmetic Logic Unit (ALU) performs all arithmetic and logical operations within the CPU.
Question 17
Information Technology · 1 marksWhich of the following is an example of a secondary storage device?
- A.RAM
- B.Cache
- C.Hard Disk
- D.Register
Correct answer: C
Explanation: A hard disk is non-volatile secondary storage; RAM, cache, and registers are all volatile primary storage.
Question 18
Information Technology · 1 marksWhich technique allows I/O devices to transfer data directly to memory without CPU intervention for every byte?
- A.Programmed I/O
- B.Interrupt-driven I/O
- C.DMA (Direct Memory Access)
- D.Polling
Correct answer: C
Explanation: Direct Memory Access (DMA) allows I/O devices to transfer blocks of data directly to/from memory, freeing the CPU from handling each byte.
Question 19
Information Technology · 1 marksConvert the octal number 17 to decimal.
- A.15
- B.17
- C.19
- D.21
Correct answer: A
Explanation: 17 (octal) = 1×8 + 7 = 15 (decimal).
Question 20
Information Technology · 1 marksPerform the binary subtraction: 1010 − 0011
- A.0111
- B.0101
- C.1101
- D.0110
Correct answer: A
Explanation: 1010 (10 decimal) − 0011 (3 decimal) = 7 decimal = 0111 in binary.
Question 21
Information Technology · 1 marksThe Boolean expression (A·B)' is equivalent to, by De Morgan's Law:
- A.A' + B'
- B.A' · B'
- C.A + B
- D.A · B
Correct answer: A
Explanation: De Morgan's Law states (A·B)' = A' + B'.
Question 22
Information Technology · 1 marksWhich of the following converts assembly language code into machine code?
- A.Compiler
- B.Assembler
- C.Interpreter
- D.Linker
Correct answer: B
Explanation: An assembler translates assembly language instructions into machine code.
Question 23
Information Technology · 1 marksWhat is the output of the following C code? int x = 5; printf("%d", x++ + ++x);
- A.11
- B.12
- C.10
- D.13
Correct answer: B
Explanation: x++ uses the old value of x (5) then increments x to 6. ++x then increments x to 7 and uses 7. Sum = 5 + 7 = 12.
Question 24
Information Technology · 1 marksIn a multiprogramming system, if CPU utilization is modeled as (1 − pⁿ), where p is the fraction of time a process waits for I/O, what does n represent?
- A.The number of processes in memory
- B.The number of I/O devices
- C.The clock speed
- D.The number of CPU cores
Correct answer: A
Explanation: This is the standard formula for CPU utilization in multiprogramming, where n is the number of processes held in memory (degree of multiprogramming).
Question 25
English · 1 marksRead the passage: "Renewable energy sources such as solar and wind are increasingly cost-competitive with fossil fuels, driving a global shift in power generation investment." What is driving the shift in power generation investment, according to the passage?
- A.Government subsidies alone
- B.The cost-competitiveness of renewable energy
- C.Declining fossil fuel reserves
- D.Consumer preference surveys
Correct answer: B
Explanation: The passage directly states that the cost-competitiveness of renewable energy is driving the investment shift.
Question 26
English · 1 marksChoose the antonym of "Abundant":
- A.Plentiful
- B.Scarce
- C.Ample
- D.Generous
Correct answer: B
Explanation: Abundant means plentiful; its opposite is scarce.
Question 27
English · 1 marksIdentify the error in the sentence: "Neither of the students have submitted their assignment."
- A."Neither" should be "Either"
- B."have" should be "has"
- C."their" should be "his"
- D.No error
Correct answer: B
Explanation: "Neither of" is treated as singular and takes the singular verb "has", not "have".
Question 28
English · 1 marksFill in the blank with the most appropriate word: "Despite the ___ evidence against him, the jury acquitted the defendant."
- A.scanty
- B.overwhelming
- C.irrelevant
- D.circumstantial
Correct answer: B
Explanation: "Despite" signals contrast with the outcome (acquittal), so the evidence must have been strong — "overwhelming" fits best.
Question 29
English · 1 marksRead the passage: "Urban green spaces have been shown to reduce stress levels and improve air quality in densely populated cities." What two benefits of urban green spaces are mentioned in the passage?
- A.Reduced stress and improved air quality
- B.Increased property value and tourism
- C.Reduced traffic and crime
- D.Improved air quality and increased rainfall
Correct answer: A
Explanation: The passage directly mentions reduced stress and improved air quality as the two benefits.
Question 30
English · 1 marksChoose the word that is most nearly OPPOSITE in meaning to "Ephemeral":
- A.Fleeting
- B.Permanent
- C.Transient
- D.Momentary
Correct answer: B
Explanation: Ephemeral means short-lived or transient; its opposite is permanent.