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NIMCET Mock Test
A timed 25-question mock for the NIT MCA Common Entrance Test covering algebra, probability & combinatorics, logical reasoning, computer awareness, english grammar. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
NIMCET mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.AlgebraFind the sum of the first 8 terms of the AP 6, 9, 12, …
Answer: B — 132
Sₙ = n/2 × [2a + (n − 1)d] = 8/2 × [12 + 21] = 132.
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Q2.Probability & CombinatoricsIn how many ways can the letters of the word MOTHER be arranged?
Answer: B — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q3.Logical ReasoningFind the next letter: E, G, I, K, ?
Answer: A — M
The letters advance by 2 each time (skip 1).
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Q4.Computer AwarenessWhat is the extension of a Microsoft Excel workbook (2007+)?
Answer: D — .xlsx
.xlsx is the default Excel workbook format.
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Q5.English GrammarIdentify the correct sentence.
Answer: D — He and I went to the market.
Subject pronouns (he, I) are needed for the subject of the verb.
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Q6.AlgebraFind the sum of the first 22 terms of the AP 10, 12, 14, …
Answer: D — 682
Sₙ = n/2 × [2a + (n − 1)d] = 22/2 × [20 + 42] = 682.
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Q7.Probability & CombinatoricsIn how many ways can the letters of the word PLANET be arranged?
Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q8.Logical ReasoningWhat is the angle between the hour and minute hands of a clock at 10:20?
Answer: D — 170°
Angle = |30H − 5.5M| = |30×10 − 5.5×20| = 190°; the smaller angle is 360 − that = 170°.
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Q9.Computer Awareness1 kilobyte (KB) in binary units equals:
Answer: D — 1,024 bytes
In binary (KiB) usage, 1 KB = 2¹⁰ = 1,024 bytes.
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Q10.English GrammarChoose the correct article: He is ___ honest man.
Answer: C — an
“Honest” begins with a vowel sound (silent h), so “an”.
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Q11.AlgebraFind the sum of the first 30 terms of the AP 11, 18, 25, …
Answer: B — 3375
Sₙ = n/2 × [2a + (n − 1)d] = 30/2 × [22 + 203] = 3,375.
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Q12.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 8?
Answer: B — 5/36
5 of the 36 equally likely outcomes give a sum of 8, so P = 5/36 = 5/36.
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Q13.Logical ReasoningIf CAT is coded as GEX, how is TREE coded?
Answer: A — XVII
Each letter moves 4 places forward in the alphabet (CAT → GEX), so TREE → XVII.
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Q14.Computer AwarenessWhich protocol is used to send email?
Answer: C — SMTP
SMTP (Simple Mail Transfer Protocol) sends email.
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Q15.English GrammarChoose the correct option: The furniture in the house ___ new.
Answer: B — is
“Furniture” is uncountable and takes a singular verb.
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Q16.AlgebraSolve: 2x + 4y = -20 and 2x + 3y = -17
Answer: D — x = -4, y = -3
Elimination/substitution gives x = -4, y = -3. Check: 2(-4) + 4(-3) = -20 ✓ and 2(-4) + 3(-3) = -17 ✓.
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Q17.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 10 people?
Answer: B — 45
Order does not matter → combinations: 10C2 = 10! / (2!·8!) = 45.
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Q18.Logical ReasoningWhat day of the week was 2 November 2015?
Answer: C — Monday
Using odd days (or Zeller’s rule), 2 November 2015 falls on a Monday.
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Q19.Computer AwarenessThe full form of HTTP is:
Answer: D — HyperText Transfer Protocol
HTTP transfers web pages.
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Q20.English GrammarChoose the correct indirect speech: He said, “I am tired.”
Answer: B — He said that he was tired.
With a past reporting verb, the present tense shifts back: “am” → “was”.
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Q21.AlgebraSolve: x² − 3x − 40 = 0
Answer: C — -5, 8
Find two roots with sum 3 and product -40: 8 and -5. So x² − 3x − 40 = (x − 8)(x + 5) = 0.
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Q22.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a king?
Answer: B — 1/13
There are 4 such cards in 52, so P = 4/52 = 1/13.
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Q23.Logical ReasoningRavi walks 7 m north, turns right and walks 5 m, then turns right again and walks 4 m. How far is he from the start?
Answer: B — 5.83 m
Net: 3 m north and 5 m east. Distance = √(3² + 5²) = 5.83 m.
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Q24.Computer AwarenessA firewall is used to:
Answer: D — Monitor and control network traffic for security
Firewalls filter incoming and outgoing traffic.
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Q25.English GrammarChoose the correct option: This is the best book I ___.
Answer: C — have ever read
A superlative + experience up to now uses the present perfect: “have ever read”.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (many Indian exams deduct ¼ or ⅓ of a mark — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
About NIMCET
NIT MCA Common Entrance Test — conducted by National Institutes of Technology (organising NIT rotates). Admission to MCA programmes at participating NITs; mathematics carries the most weight.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
NIMCET practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Computer Awareness | Computer knowledge | Question bank |
| English Grammar | English | Question bank |