Previous Year Papers / GATE CSE / 2021

GATE CSE 2021 Question Paper & Answers

The official GATE CSE 2021 question papers, with the official answer key. Attempt as a real timed exam (with negative marking) or switch to practice mode for instant per-question answers and explanations.

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Official PYQ

GATE CSE 2021 (Set 1)

180 Mins 100 Marks
65Questions
100Max Marks

Sample questions from GATE CSE 2021 (Set 1)

1The ratio of boys to girls in a class is 7 to 3.
Among the options below, an acceptable value for the total number of students in the class is:
  • A) 21
  • B) 37
  • C) 50
  • D) 73
Answer: C
2A polygon is convex if, for every pair of points, P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon.
Which one of the following is NOT a convex polygon? [Figure: four shaded shapes — (A) a chevron/arrow-like shape with an inward notch, (B) a triangle, (C) a square, (D) a trapezoid.]
  • A) A chevron/arrow-shaped polygon with an inward-pointing notch (non-convex)
  • B) A triangle
  • C) A square
  • D) A trapezoid
Answer: A
3Consider the following sentences:
(i) Everybody in the class is prepared for the exam.
(ii) Babu invited Danish to his home because he enjoys playing chess.
Which of the following is the CORRECT observation about the above two sentences?
  • A) (i) is grammatically correct and (ii) is unambiguous
  • B) (i) is grammatically incorrect and (ii) is unambiguous
  • C) (i) is grammatically correct and (ii) is ambiguous
  • D) (i) is grammatically incorrect and (ii) is ambiguous
Answer: C
4A circular sheet of paper is folded along the lines in the directions shown. [Figure: a circle is first folded in half along a vertical diameter, then the resulting half-circle is folded again (rotated) into a quarter-circle; in this final folded quarter-circle state a punch hole is made near a corner, as marked in the diagram.] The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.
  • A) A circle with a small central hole, two elongated rectangular holes (top and bottom, horizontal) and two elongated rectangular holes (left and right, vertical), arranged symmetrically
  • B) A circle with a small central hole, two horizontal rectangular holes (top and bottom) positioned slightly differently, and two vertical rectangular holes (left and right) of a different size than in (A)
  • C) A circle with a small central hole, two small square holes (top and bottom) and two elongated rectangular holes (left and right)
  • D) A circle with a small central hole, an asymmetric single small hole near the top, and two vertical rectangular holes (left and right), with no corresponding bottom hole
Answer: A
5_____ is to surgery as writer is to _________
Which one of the following options maintains a similar logical relation in the above sentence?
  • A) Plan, outline
  • B) Hospital, library
  • C) Doctor, book
  • D) Medicine, grammar
Answer: C

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Official PYQ

GATE CSE 2021 (Set 2)

180 Mins 100 Marks
65Questions
100Max Marks

Sample questions from GATE CSE 2021 (Set 2)

1Gauri said that she can play the keyboard __________ her sister.
  • A) as well as
  • B) as better as
  • C) as nicest as
  • D) as worse as
Answer: A
2A transparent square sheet is folded along the dotted line as shown. [Figure: a square sheet has a curved 'mountain-shaped' line drawn across it with small hatch marks (like short diagonal strokes) on the left and right slopes, and a vertical dashed fold line down the centre of the square.] The folded sheet will look like _________.
  • A) [A narrow folded rectangle showing the curve reflected onto the right half, with the hatch marks pointing outward/up-left along the fold.]
  • B) [A narrow folded rectangle showing the curve halves overlapping, with the hatch marks appearing as parallel diagonal strokes running the same direction across the fold.]
  • C) [A narrow folded rectangle similar to (B) but with the hatch-mark strokes mirrored so they point in the opposite slope direction across the fold.]
  • D) [A narrow folded rectangle with the hatch-mark strokes reversed in direction and shifted lower along the fold compared to (B) and (C).]
Answer: B
3If θ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, cos θ =
  • A) 1/21/2
  • B) 1/√3
  • C) 1/√2
  • D) √3/23/2
Answer: B
4If (x1/2)2(x − 1/2)^2(x3/2)2=x+2(x − 3/2)^2 = x + 2, then the value of x is:
  • A) 2
  • B) 4
  • C) 6
  • D) 8
Answer: B
5Pen : Write :: Knife : __________
Which one of the following options maintains a similar logical relation in the above?
  • A) Vegetables
  • B) Sharp
  • C) Cut
  • D) Blunt
Answer: C

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GATE CSE 2021 Previous Year Question Paper with Answers (PYQ) | ClassScribe