Spatial Aptitude QUIZ GATE CS

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Question 1

The coefficient of x¹² in (x³ + x⁴ + x⁵ + x⁶ + ...)³ is.


[This Question was originally a Fill-in-the-Blanks question]

• 1

• 2

• 4

• 10

Question 2

A 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?

• A

• B

• C

• D

Question 3

A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.

• A

• B

• C

• D

Question 4

A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.

• A

• B

• C

• D

Question 5

A palindrome is a word that reads the same forwards and backward. In a game of words, a player has the following two plates painted with letters. 

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated

• 
• 
• 
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Question 6

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.



If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged?

• P,Q

• P,Q,T

• R,S,T

• Q,R,S

Question 7

Consider the following sets:

• S₁: Set of all recursively enumerable languages over the alphabet {0, 1}.
• S₂: Set of all syntactically valid C programs.
• S₃: Set of all languages over the alphabet {0, 1}.
• S₄: Set of all non-regular languages over the alphabet {0, 1}.

Which of the above sets are uncountable?

• S₁ and S₂

• S₃ and S₄

• S₁ and S₄

• S₂ and S₃

Question 8

Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?

• Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure

  Operation 2: A reflection along a horizontal line

• Operation 1: A counter clockwise rotation by 90º about an axis perpendicular to the plane of the figure

  Operation 2: A reflection along a horizontal line

• Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure.

  Operation 2: A reflection along a vertical line

• Operation 1: A counter clockwise rotation by 180º about an axis perpendicular to the plane of the figure

  Operation 2: A reflection along a vertical line

Question 9

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Note: The figures shown are representative

Figure

• 

  option 1

• 

  option 2

• 

  option 3

• 

  option 4

Question 10

The diagram below shows a river system consisting of 7 segments, marked P, Q, R,

S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We

need to connect these zones using the least number of bridges. Out of the following

options, which one is correct?

Note: The figure shown is representative.

• Bridges on P, Q, and T

• Bridges on P, Q, S, and T

• Bridges on Q, R, T, and V

• Bridges on P, Q, S, U, and V

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GATE CS

Aptitude