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 marks

Factorize: x² − 5x + 6

  1. A.(x − 2)(x − 3)
  2. B.(x − 1)(x − 6)
  3. C.(x + 2)(x + 3)
  4. 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 marks

Solve for x: x² = 49

  1. A.x = 7 only
  2. B.x = ±7
  3. C.x = −7 only
  4. D.x = 14

Correct answer: B

Explanation: Taking the square root of both sides gives x = ±7.

Question 3

Mathematics · 1 marks

What is the value of log₁₀(1000)?

  1. A.2
  2. B.3
  3. C.10
  4. D.30

Correct answer: B

Explanation: 10³ = 1000, so log₁₀(1000) = 3.

Question 4

Mathematics · 1 marks

Find the sum of the first 10 terms of the AP: 2, 5, 8, 11, ...

  1. A.155
  2. B.145
  3. C.150
  4. 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 marks

In how many ways can the letters of the word "MCA" be arranged?

  1. A.3
  2. B.6
  3. C.9
  4. D.27

Correct answer: B

Explanation: All 3 letters are distinct, so the number of arrangements is 3! = 6.

Question 6

Mathematics · 1 marks

The equation of a circle with center (0, 0) and radius 5 is:

  1. A.x² + y² = 5
  2. B.x² + y² = 25
  3. C.x + y = 25
  4. 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 marks

The derivative of f(x) = x³ − 3x² + 2 at x = 1 is:

  1. A.−3
  2. B.0
  3. C.3
  4. D.−6

Correct answer: A

Explanation: f'(x) = 3x² − 6x. At x = 1: f'(1) = 3 − 6 = −3.

Question 8

Mathematics · 1 marks

Evaluate: ∫₀¹ (2x + 1) dx

  1. A.2
  2. B.1
  3. C.3
  4. 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 marks

A fair die is rolled once. What is the probability of getting a number greater than 4?

  1. A.1/6
  2. B.1/3
  3. C.1/2
  4. 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 marks

Complete the series: 4, 8, 16, 32, ?

  1. A.48
  2. B.64
  3. C.56
  4. D.40

Correct answer: B

Explanation: Each term is double the previous term: 32 × 2 = 64.

Question 11

Aptitude (Reasoning) · 1 marks

A 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?

  1. A.2
  2. B.4
  3. C.8
  4. 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 marks

What is the age of Ravi? Statement I: Ravi is 5 years older than his brother. Statement II: Ravi's brother is 20 years old.

  1. A.Statement I alone is sufficient
  2. B.Statement II alone is sufficient
  3. C.Both statements together are sufficient, but neither alone is sufficient
  4. 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 marks

If in a code, 'TABLE' is written as 'UBCMF', how is 'CHAIR' written?

  1. A.DIBJS
  2. B.DIBJT
  3. C.DJBJS
  4. 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 marks

Statement: "All that glitters is not gold." Which of the following best captures the meaning?

  1. A.Everything that glitters is gold
  2. B.Not everything that glitters is gold
  3. C.Nothing that glitters is gold
  4. 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 marks

Find the next term in the series: 1, 1, 2, 3, 5, 8, 13, ?

  1. A.18
  2. B.20
  3. C.21
  4. 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 marks

Which of the following is responsible for performing arithmetic and logical operations in the CPU?

  1. A.Control Unit
  2. B.ALU
  3. C.Cache
  4. 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 marks

Which of the following is an example of a secondary storage device?

  1. A.RAM
  2. B.Cache
  3. C.Hard Disk
  4. 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 marks

Which technique allows I/O devices to transfer data directly to memory without CPU intervention for every byte?

  1. A.Programmed I/O
  2. B.Interrupt-driven I/O
  3. C.DMA (Direct Memory Access)
  4. 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 marks

Convert the octal number 17 to decimal.

  1. A.15
  2. B.17
  3. C.19
  4. D.21

Correct answer: A

Explanation: 17 (octal) = 1×8 + 7 = 15 (decimal).

Question 20

Information Technology · 1 marks

Perform the binary subtraction: 1010 − 0011

  1. A.0111
  2. B.0101
  3. C.1101
  4. D.0110

Correct answer: A

Explanation: 1010 (10 decimal) − 0011 (3 decimal) = 7 decimal = 0111 in binary.

Question 21

Information Technology · 1 marks

The Boolean expression (A·B)' is equivalent to, by De Morgan's Law:

  1. A.A' + B'
  2. B.A' · B'
  3. C.A + B
  4. D.A · B

Correct answer: A

Explanation: De Morgan's Law states (A·B)' = A' + B'.

Question 22

Information Technology · 1 marks

Which of the following converts assembly language code into machine code?

  1. A.Compiler
  2. B.Assembler
  3. C.Interpreter
  4. D.Linker

Correct answer: B

Explanation: An assembler translates assembly language instructions into machine code.

Question 23

Information Technology · 1 marks

What is the output of the following C code? int x = 5; printf("%d", x++ + ++x);

  1. A.11
  2. B.12
  3. C.10
  4. 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 marks

In 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?

  1. A.The number of processes in memory
  2. B.The number of I/O devices
  3. C.The clock speed
  4. 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 marks

Read 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?

  1. A.Government subsidies alone
  2. B.The cost-competitiveness of renewable energy
  3. C.Declining fossil fuel reserves
  4. 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 marks

Choose the antonym of "Abundant":

  1. A.Plentiful
  2. B.Scarce
  3. C.Ample
  4. D.Generous

Correct answer: B

Explanation: Abundant means plentiful; its opposite is scarce.

Question 27

English · 1 marks

Identify the error in the sentence: "Neither of the students have submitted their assignment."

  1. A."Neither" should be "Either"
  2. B."have" should be "has"
  3. C."their" should be "his"
  4. 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 marks

Fill in the blank with the most appropriate word: "Despite the ___ evidence against him, the jury acquitted the defendant."

  1. A.scanty
  2. B.overwhelming
  3. C.irrelevant
  4. 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 marks

Read 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?

  1. A.Reduced stress and improved air quality
  2. B.Increased property value and tourism
  3. C.Reduced traffic and crime
  4. 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 marks

Choose the word that is most nearly OPPOSITE in meaning to "Ephemeral":

  1. A.Fleeting
  2. B.Permanent
  3. C.Transient
  4. D.Momentary

Correct answer: B

Explanation: Ephemeral means short-lived or transient; its opposite is permanent.

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