CAT Practice Question and Answer

Q: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 2050 0

  • 1
    45/7 %
    Correct
    Wrong
  • 2
    50/9 %
    Correct
    Wrong
  • 3
    51/7 %
    Correct
    Wrong
  • 4
    47/ 9 %
    Correct
    Wrong
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Answer : 2. "50/9 %"
Explanation :

Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ? 1462 0

  • 1
    476190476
    Correct
    Wrong
  • 2
    48617
    Correct
    Wrong
  • 3
    47619
    Correct
    Wrong
  • 4
    4587962
    Correct
    Wrong
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Answer : 3. "47619"
Explanation :

Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619    333333----------------        0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

Q: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ? 1371 0

  • 1
    1 : 2
    Correct
    Wrong
  • 2
    3 : 1
    Correct
    Wrong
  • 3
    4 : 7
    Correct
    Wrong
  • 4
    3 : 2
    Correct
    Wrong
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Answer : 4. "3 : 2"
Explanation :

Answer: D) 3 : 2 Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 => 27 x + 17 y = 23 x + 23 y => 4 x = 6 y => x/y = 3/2.

Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ? 1707 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: Let the number be x. Then,   3x2 - 4x = x + 50   3x2- 5x - 50 = 0   (3x + 10)(x - 5) = 0   x = 5

Q: The 112-feet tall bust of ‘Adiyogi’ Lord Shiva at the Isha Yoga Foundation in ___________ has been declared the world’s largest bust by the Guinness Book of World Records. 1678 0

  • 1
    Telangana
    Correct
    Wrong
  • 2
    Andhra Pradesh
    Correct
    Wrong
  • 3
    Haryana
    Correct
    Wrong
  • 4
    Tamil Nadu
    Correct
    Wrong
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Answer : 4. "Tamil Nadu"
Explanation :

Answer: D) Tamil Nadu Explanation: The 112-feet tall bust of ‘Adiyogi’ Lord Shiva at the Isha Yoga Foundation has been declared the world’s largest bust by the Guinness Book of World Records. The Guinness had announced this on its website. The bust at the Isha Yoga Foundation on the outskirts of Coimbatore, Tamil Nadu was unveiled by Prime Minister Narendra Modi on 24 February.

Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4215 0

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

Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, P is faster than Q,   so P's speed = 4 km/hr and Q's speed = 3 km/hr.

Q: Which team became the first team in history to win 100 T20 matches  ? 5351 0

  • 1
    Sunrisers Hyderabad
    Correct
    Wrong
  • 2
    Bangalore Royal Challengers
    Correct
    Wrong
  • 3
    Kolkata Knight Riders
    Correct
    Wrong
  • 4
    Mumbai Indians
    Correct
    Wrong
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Answer : 4. "Mumbai Indians"
Explanation :

Answer: D) Mumbai Indians Explanation: Two times IPL champions Mumbai Indians (MI) reached a new milestone as they became the first team in history to win 100 T20 matches. The Mumbai outfit defeated Kolkata Knight Riders (KKR) at the Eden Gardens by 9 runs in their final match of the league stage of IPL 2017.

Q: India’s first contactless business credit card has been launched by __________in association with Jet Airways, India premier international airline. 1485 0

  • 1
    Axis Bank
    Correct
    Wrong
  • 2
    ICICI Bank
    Correct
    Wrong
  • 3
    HDFC Bank
    Correct
    Wrong
  • 4
    YES Bank
    Correct
    Wrong
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Answer : 2. "ICICI Bank"
Explanation :

Answer: B) ICICI Bank Explanation: India’s first contactless business credit card has been launched by ICICI bank in association with Jet Airways, India premier international airline, for Small and Mid-sized Enterprises (SMEs) and their employees. The card has been christened as the ‘Jet Airways ICICI Bank Business Advantage Card’, which helps customers to save on their business expenses. The card is powered by the ‘VISA payWave’ contactless technology that enables the cardholder to make payments by simply tapping the card at contactless enabled terminals in more than 48 countries, including India. The card can also be used by dipping or swiping at non-contactless merchants.

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