CAT Practice Question and Answer

Q: What has a head and a tail but nobody? 2047 0

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Answer :
Explanation :

A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.

Q: 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ? 2047 0

  • 1
    360 ml
    Correct
    Wrong
  • 2
    320 ml
    Correct
    Wrong
  • 3
    310 ml
    Correct
    Wrong
  • 4
    330 ml
    Correct
    Wrong
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Answer : 2. "320 ml"
Explanation :

Answer: B) 320 ml Explanation: Here total parts of milk and water in the solution is 6+2 = 8 parts. 1part = 640/8 = 80   old mixture contains 6parts of milk and 2 parts of water(6:2).   To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same. i.e, 4 x 80 = 320 ml.

Q: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ? 2047 0

  • 1
    57
    Correct
    Wrong
  • 2
    75
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    39
    Correct
    Wrong
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Answer : 4. "39"
Explanation :

Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.

Q: Joel travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Joel's travel in kmph ? 2046 0

  • 1
    38 kmph
    Correct
    Wrong
  • 2
    40 kmph
    Correct
    Wrong
  • 3
    60 kmph
    Correct
    Wrong
  • 4
    54 kmph
    Correct
    Wrong
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Answer : 3. "60 kmph"
Explanation :

Answer: C) 60 kmph Explanation: Average speed = Total distance / Total time. Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours. Distance covered in the first 3 hours = 3 x 60 = 180 milesDistance covered in the next 5 hours = 5 x 24 = 120 miles Therefore, total distance traveled = 180 + 120 = 300 miles. Total time taken = 3 + 5 = 8 hours. Average speed = 300/8 = 37.5 mph. we know that 1 mile = 1.6 kms => 37.5 miles = 37.5 x 1.6 = 60 kms Average speed in Kmph = 60 kmph.

Q: What do we call a change to the Constitution? 2046 0

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    A Bill
    Correct
    Wrong
  • 2
    An Act
    Correct
    Wrong
  • 3
    An Amendment
    Correct
    Wrong
  • 4
    An Interpret
    Correct
    Wrong
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Answer : 3. "An Amendment"
Explanation :

Answer: C) An Amendment Explanation: A change to the Constitution is called as An Amendment. An Amendment :: An Amendment is ratified after two-thirds of the House and Senate approve of the proposal and send it to the states for a vote. That Convention can propose as many amendments as it deems necessary. Then, three-fourths of the states must affirm the proposed Amendment.

Q: Secondary consumers are eaten by larger 2046 0

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    fast animal
    Correct
    Wrong
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    animal in the third trophic level
    Correct
    Wrong
  • 3
    herbivorous animal
    Correct
    Wrong
  • 4
    predator
    Correct
    Wrong
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Answer : 4. "predator"
Explanation :

Answer: D) predator Explanation: A tertiary consumer is an animal that obtains its nutrition by eating primary consumers and secondary consumers. Usually tertiary consumers are carnivorous predators, although they may also be omnivores, which are animals that feed on both meat and plant material.   Tertiary consumers often occupy the top trophic level, and so are predated by no other animals; in this case they are called "apex predators". However, when they die their bodies will be consumed by scavengers and decomposers.

Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is  ? 2046 0

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    3/2
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    34/7
    Correct
    Wrong
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Answer : 1. "3/2"
Explanation :

Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.

Q: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 2045 0

  • 1
    55.12 cm
    Correct
    Wrong
  • 2
    22.54 cm
    Correct
    Wrong
  • 3
    42.51 cm
    Correct
    Wrong
  • 4
    38.57 cm
    Correct
    Wrong
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Answer : 4. "38.57 cm"
Explanation :

Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

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