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NIMCET Practice Questions
Original practice questions for the NIT MCA Common Entrance Test (National Institutes of Technology (organising NIT rotates)), mixed across 5 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
NIMCET mixed practice
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Q1.AlgebraFind the sum of the first 25 terms of the AP 18, 25, 32, …
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Answer: A — 2550
Sₙ = n/2 × [2a + (n − 1)d] = 25/2 × [36 + 168] = 2,550.
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Q2.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 4?
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Answer: B — 1/12
3 of the 36 equally likely outcomes give a sum of 4, so P = 3/36 = 1/12.
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Q3.Logical ReasoningFind the next letter: H, K, N, Q, ?
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Answer: D — T
The letters advance by 3 each time (skip 2).
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Q4.Computer AwarenessWhich shortcut copies selected text in most applications?
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Answer: D — Ctrl + C
Ctrl + C copies; Ctrl + V pastes; Ctrl + X cuts; Ctrl + Z undoes.
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Q5.English GrammarChoose the correct option: The number of applicants ___ increased.
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Answer: D — has
“The number of” takes a singular verb; “a number of” takes a plural verb.
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Q6.AlgebraSolve: 4x + y = 46 and x + y = 16
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Answer: D — x = 10, y = 6
Elimination/substitution gives x = 10, y = 6. Check: 4(10) + 1(6) = 46 ✓ and 1(10) + 1(6) = 16 ✓.
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Q7.Probability & CombinatoricsIn how many ways can the letters of the word GARDEN be arranged?
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Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q8.Logical ReasoningRavi walks 11 m north, turns right and walks 5 m, then turns right again and walks 8 m. How far is he from the start?
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Answer: D — 5.83 m
Net: 3 m north and 5 m east. Distance = √(3² + 5²) = 5.83 m.
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Q9.Computer AwarenessWhich of the following is an input device?
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Answer: B — Keyboard
A keyboard sends data into the computer.
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Q10.English GrammarChoose the correct option: Neither the manager nor the clerks ___ present.
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Answer: B — were
With neither…nor, the verb agrees with the nearer subject (“clerks”, plural) → were.
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.
Practise by topic
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Probability & Combinatorics questions — Probability = favourable ÷ total outcomes.
- Logical Reasoning questions — For coding questions write the letter positions (A = 1 … Z = 26).
- Computer Awareness questions — Revise hardware vs software, memory types, number systems, common shortcuts, networking devices and internet protocols.
- English Grammar questions — Find the subject first and make the verb agree with it, ignoring phrases in between.
- NIMCET mock test — 25 timed questions with negative marking.
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 |