CAT Practice Question and Answer

Q: An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ? 2534 0

  • 1
    113/108
    Correct
    Wrong
  • 2
    105/103
    Correct
    Wrong
  • 3
    108/115
    Correct
    Wrong
  • 4
    103/113
    Correct
    Wrong
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Answer : 2. "105/103"
Explanation :

Answer: B) 105/103 Explanation: As given equal amounts of alloys are melted, let it be 1 kg. Required ratio of gold and silver = 513 + 58813 + 38 = 105103.   Hence, ratio of gold and silver in the resulting alloy = 105/103.

Q: Genuine : Authentic : : Mirage : ? 2533 0

  • 1
    Transpiration
    Correct
    Wrong
  • 2
    Illusion
    Correct
    Wrong
  • 3
    Reflection
    Correct
    Wrong
  • 4
    Image
    Correct
    Wrong
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Answer : 2. "Illusion"
Explanation :

Answer: B) Illusion Explanation: Here the given pair of words are related in such a way that they are synonyms. That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.   Hence, Genuine : Authentic : : Mirage : Illusion.

Q: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2530 0

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

Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.

Q: How many prime numbers exist in 65×359×113 ? 2530 0

  • 1
    29
    Correct
    Wrong
  • 2
    31
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 2. "31"
Explanation :

Answer: B) 31 Explanation: Given  65×359×113 ⇒2×35×5×79×113  ⇒25×35×59×79×113 Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

Q: At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ? 2526 0

  • 1
    60
    Correct
    Wrong
  • 2
    74
    Correct
    Wrong
  • 3
    82
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 1. "60"
Explanation :

Answer: A) 60 Explanation: Let, no. of rice bowl = xno. of dal bowl = yno. of meat bowl = z Then, x + y + z = 65 ....(1) Also given that, 2x = 3y = 4z substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),We get x = 30. As 1 rice bowl is shared between 2 guests, Therefore, there are 60 guests.

Q: The largest proportion of federal revenues comes from 2522 0

  • 1
    borrowing
    Correct
    Wrong
  • 2
    excise taxes
    Correct
    Wrong
  • 3
    social insurance taxes
    Correct
    Wrong
  • 4
    personal income taxes
    Correct
    Wrong
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Answer : 4. "personal income taxes"
Explanation :

Answer: D) personal income taxes Explanation: The largest proportion of federal revenues comes from personal income taxes. Almost half of all federal revenue (47 percent) comes from individual income taxes.

Q: After independence, the first state organized on the basis of language age is  ? 2521 2

  • 1
    Karnataka
    Correct
    Wrong
  • 2
    Punjab
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Andhra Pradesh
    Correct
    Wrong
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Answer : 4. "Andhra Pradesh"
Explanation :

Answer: D) Andhra Pradesh Explanation:

Q: Where does the series number on a map appear? 2521 0

  • 1
    Upper right margin
    Correct
    Wrong
  • 2
    Lower left margin
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    Not Exist
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: The series number is found in both the upper right margin and the lower left margin. It is a sequence reference expressed either as a four-digit numeral (1125) or as a letter, followed by a three- or four-digit numeral (M661, T7110).

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