CAT Practice Question and Answer

Q: "National Youth Day" is celebrated on which day ? 1288 0

  • 1
    January 15
    Correct
    Wrong
  • 2
    January 14
    Correct
    Wrong
  • 3
    January 17
    Correct
    Wrong
  • 4
    January 12
    Correct
    Wrong
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Answer : 4. "January 12"
Explanation :

Answer: D) January 12 Explanation: National Youth Day is celebrated in India on 12 January on the birthday of Swami Vivekananda. In 1984 the Government of India declared the day as the National Youth Day and since 1985 the event is celebrated in India every year.

Q: Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ? 2851 0

  • 1
    60 sec
    Correct
    Wrong
  • 2
    48 sec
    Correct
    Wrong
  • 3
    45 sec
    Correct
    Wrong
  • 4
    34 sec
    Correct
    Wrong
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Answer : 2. "48 sec"
Explanation :

Answer: B) 48 sec Explanation: Relative speed = 42 + 36 = 78 km/hr = 653 m/s Distance = (520 + 520) =1040 mts. Time = 1040×365= 48 sec

Q: Minimum number of straight lines required to form the below figure ? 3137 0

  • 1
    18
    Correct
    Wrong
  • 2
    17
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 3. "14"
Explanation :

Answer: C) 14 Explanation: The given figure can be labelled as shown :         The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.The vertical lines are AE, LF and KG i.e. 3 in number.The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

Q: Find the minimum number of straight lines in the below figure ? 2391 0

  • 1
    20
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "19"
Explanation :

Answer: B) 19 Explanation: The given figure can be labelled as :     Straight lines : The number of straight lines are 19 i.e. BC, CD, BD, AF, FE, AE, AB, GH, IJ, KL, DE, AG, BH, HI, GJ, IL, JK, KE and DL.

Q: What is the minimum number of colour pencils required to fill the spaces in the below figure with no two adjacent spaces have the same colour ? 2790 0

  • 1
    5
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 3. "3"
Explanation :

Answer: C) 3 Explanation: The given figure can be labelled as shown : The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.

Q: Choose the box that is similar to the box formed from the given sheet of paper ( 3288 0

  • 1
    .       (A) A) Option 1,2 and 3
    Correct
    Wrong
  • 2
    Option 1,2 and 4
    Correct
    Wrong
  • 3
    Option 2 and 3
    Correct
    Wrong
  • 4
    A) A) Option 1,2 and 3 B) Option 1,2 and 4 C) Option 2 and 3 D)
    Correct
    Wrong
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Answer : 4. "A) A) Option 1,2 and 3 B) Option 1,2 and 4 C) Option 2 and 3 D)"
Explanation :

Answer: D) Option 2,3 and 4 Explanation: when a cube is formed by folding the sheet shown in fig. (A), then   is one of the faces of the cube and this face lies opposite to a blank face. Also, a face bearing a square lies opposite to another blank face. The remaining two blank faces lie opposite to each other. Clearly, in the cube shown in fig. (1), the face consisting of the four symbols is not the same as that formed (as shown above). Hence, the cube in fig. (1) cannot be formed

Q: A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size. 6704 0

  • 1
    56
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 4. "64"
Explanation :

Answer: D) 64 Explanation: We know that Cubes with no surface painted can be find using x-23, where x is number of cuttings. Here x=6.  ∴ 6-23=64

Q: Find the total number of cubes in the given figure ? 2453 0

  • 1
    56
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    72
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: (Total numbers of cubes in a line  x  Number of stack / tower) + ... = (6x1)+(5x2)+(4x3)+(3x4)+(5x2)+(6x1) = 6+10+12+12+10+6 = 56

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