CAT Practice Question and Answer

Q: There are 15 lines in plane. How many intersections (Maximum) can be made ? 2030 0

  • 1
    55
    Correct
    Wrong
  • 2
    105
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    148
    Correct
    Wrong
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Answer : 2. "105"
Explanation :

Answer: B) 105 Explanation: First line will cut all other 14, similarly second will cut 13, and so onTotal = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

Q: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ? 2030 0

  • 1
    0
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 3. "12"
Explanation :

Answer: C) 12 Explanation: Given  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 Using BODMAS Rule, As multiplication precedes addition, 1 x 0 = 0,  Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.   Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

Q: What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ? 2030 0

  • 1
    165 degrees
    Correct
    Wrong
  • 2
    172.5 degrees
    Correct
    Wrong
  • 3
    112.5 degrees
    Correct
    Wrong
  • 4
    125.5 degrees
    Correct
    Wrong
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Answer : 2. "172.5 degrees"
Explanation :

Answer: B) 172.5 degrees Explanation: The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand. Here 15 minutes corresponds to 15 x 6 = 90 degrees Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees. Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

Q: What makes an election democratic? 2030 0

  • 1
    Elections should be held at regular intervals.
    Correct
    Wrong
  • 2
    The candidate preferred by the people should get elected.
    Correct
    Wrong
  • 3
    Every citizen should have one vote ad every vote should have an equal value.
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: In short, Democracy is a government "of the people, by the people, and for the people."   Definition : Democracy "is government by the people in which the supreme power is vested in the people and exercised directly by them or by their elected agents under a free electoral system."  The conditions of a democratic election are:   * Every citizen should have one vote ad every vote should have an equal value. * Voters choose from the political parties and candidates should be free to contest elections giving the voters a real choice. * Elections should be held at regular intervals. * The candidate preferred by the people should get elected. * Elections should be conducted in free and fair manner where people can choose as they really wish.

Q: Who among the following introduced the subsidiary alliance system in India? 2029 0

  • 1
    Lord Cunningham
    Correct
    Wrong
  • 2
    Lord Cliv
    Correct
    Wrong
  • 3
    Lord Wellesley
    Correct
    Wrong
  • 4
    Lord Canning
    Correct
    Wrong
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Answer : 3. "Lord Wellesley"
Explanation :

Answer: C) Lord Wellesley Explanation: The doctrine of the subsidiary alliance was introduced by Lord Wellesley, British Governor-General of India from 1798 to 1805. The Nizam of Hyderabad was the first to enter into such an alliance in 1798. Tipu Sultan of Mysore refused to do so, but after the British victory in the Fourth Anglo-Mysore War, Mysore was forced to become a subsidiary state in 1799. The Nawab of Awadh was the next to accept the Subsidiary Alliance, in 1801.

Q: How many inches is 5' 4"? 2026 0

  • 1
    66
    Correct
    Wrong
  • 2
    64
    Correct
    Wrong
  • 3
    62
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 2. "64"
Explanation :

Answer: B) 64 Explanation: We know 1 feet = 12 inches. According to the question, 5' 4''  =  5 feet 4 inches = 12 x 5 + 4 = 64 inches.   Hence,  5' 4''  =  5 feet 4 inches = 64 inches.

Q: What are the Multiples of 6 and the Common Multiples of 4 and 6? 2026 0

  • 1
    12, 34, 42
    Correct
    Wrong
  • 2
    12, 18, 36,
    Correct
    Wrong
  • 3
    6, 4, 14
    Correct
    Wrong
  • 4
    4, 8, 16
    Correct
    Wrong
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Answer : 2. "12, 18, 36,"
Explanation :

Answer: B) 12, 18, 36, Explanation: The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60. The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

Q: How many squares do you see? 2026 0

  • 1
    44
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    46
    Correct
    Wrong
  • 4
    50
    Correct
    Wrong
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Answer : 2. "45"
Explanation :

Answer: B) 45 Explanation: Number of squares in the given figure is 16 + 9 + 19 + 1 = 45.

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