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GATE Mock Test
A timed 25-question mock for the Graduate Aptitude Test in Engineering covering algebra, probability & combinatorics, physics, logical reasoning, vocabulary & idioms. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
GATE 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.AlgebraSolve: x + 4y = 0 and x + y = 3
Answer: C — x = 4, y = -1
Elimination/substitution gives x = 4, y = -1. Check: 1(4) + 4(-1) = 0 ✓ and 1(4) + 1(-1) = 3 ✓.
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Q2.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 6?
Answer: B — 5/36
5 of the 36 equally likely outcomes give a sum of 6, so P = 5/36 = 5/36.
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Q3.PhysicsThe upthrust on a body immersed in a fluid equals the weight of fluid displaced. This is:
Answer: B — Archimedes’ principle
Archimedes’ principle.
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Q4.Logical ReasoningWhat is the angle between the hour and minute hands of a clock at 4:00?
Answer: C — 120°
Angle = |30H − 5.5M| = |30×4 − 5.5×0| = 120°.
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Q5.Vocabulary & IdiomsChoose the synonym of LUCID.
Answer: B — Clear
Lucid means expressed clearly; easy to understand.
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Q6.AlgebraFind the sum of the first 17 terms of the AP 6, 7, 8, …
Answer: B — 238
Sₙ = n/2 × [2a + (n − 1)d] = 17/2 × [12 + 16] = 238.
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Q7.Probability & Combinatorics3 fair coins are tossed. What is the probability of at least one head?
Answer: C — 7/8
P(no head) = (1/2)^3 = 1/8; P(at least one head) = 1 − 1/8 = 7/8.
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Q8.PhysicsA body starts at 13 m/s and accelerates uniformly at 4 m/s² for 9 s. Find its final velocity.
Answer: C — 49 m/s
v = u + at = 13 + 4×9 = 49 m/s.
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Q9.Logical ReasoningWhat is the angle between the hour and minute hands of a clock at 12:15?
Answer: C — 82.5°
Angle = |30H − 5.5M| = |30×12 − 5.5×15| = 277.5°; the smaller angle is 360 − that = 82.5°.
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Q10.Vocabulary & IdiomsOne word for: Fear of heights.
Answer: C — Acrophobia
Acrophobia is an extreme fear of heights.
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Q11.AlgebraFind log₃ 27.
Answer: D — 3
log_3(27) asks “3 to what power gives 27?” → 3^3 = 27, so the answer is 3.
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Q12.Probability & CombinatoricsIn how many ways can a committee of 4 be chosen from 7 people?
Answer: D — 35
Order does not matter → combinations: 7C4 = 7! / (4!·3!) = 35.
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Q13.PhysicsSound cannot travel through:
Answer: B — Vacuum
Sound needs a medium; it cannot travel through a vacuum.
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Q14.Logical ReasoningWhat is the angle between the hour and minute hands of a clock at 9:30?
Answer: C — 105°
Angle = |30H − 5.5M| = |30×9 − 5.5×30| = 105°.
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Q15.Vocabulary & IdiomsChoose the word closest in meaning to ENIGMATIC.
Answer: A — Mysterious
Enigmatic means difficult to interpret — mysterious.
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Q16.AlgebraFind the sum of the first 13 terms of the AP 6, 14, 22, …
Answer: C — 702
Sₙ = n/2 × [2a + (n − 1)d] = 13/2 × [12 + 96] = 702.
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Q17.Probability & CombinatoricsIn how many ways can the letters of the word ORANGE be arranged?
Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q18.PhysicsFind the kinetic energy of a 9 kg body moving at 10 m/s.
Answer: B — 450 J
KE = ½mv² = ½ × 9 × 10² = 450 J.
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Q19.Logical ReasoningWhich number is the odd one out: 19, 39, 57, 65?
Answer: A — 19
65, 57, 39 are composite; 19 is prime.
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Q20.Vocabulary & IdiomsChoose the antonym of SCARCITY.
Answer: C — Abundance
Scarcity = shortage; abundance = plenty.
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Q21.AlgebraSolve: x² + 8x + 15 = 0
Answer: C — -5, -3
Find two roots with sum -8 and product 15: -5 and -3. So x² + 8x + 15 = (x + 5)(x + 3) = 0.
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Q22.Probability & CombinatoricsIn how many ways can a committee of 3 be chosen from 12 people?
Answer: A — 220
Order does not matter → combinations: 12C3 = 12! / (3!·9!) = 220.
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Q23.PhysicsWork done is zero when the force is:
Answer: B — Perpendicular to displacement
W = Fd cos θ; at 90° cos θ = 0.
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Q24.Logical ReasoningIf CODE is coded as DPEF, how is DOG coded?
Answer: C — EPH
Each letter moves 1 place forward in the alphabet (CODE → DPEF), so DOG → EPH.
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Q25.Vocabulary & IdiomsChoose the word closest in meaning to CORROBORATE.
Answer: B — Confirm
Corroborate means confirm or give support to a statement.
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 GATE
Graduate Aptitude Test in Engineering — conducted by IISc Bengaluru and the IITs (organising institute rotates). Tests engineering and science graduates for M.Tech admissions and PSU recruitment; every paper includes General Aptitude.
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.
GATE practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |