CAT Practice Question and Answer

Q: 125% as a Fraction? 1690 0

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

Answer: C) 5/4 Explanation: Literally any percentage means divide by 100. So 125% = 125100. That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.

Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1690 0

  • 1
    15 mts
    Correct
    Wrong
  • 2
    30 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    36 mts
    Correct
    Wrong
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Answer : 2. "30 mts"
Explanation :

Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m   Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m.   Therefore, the radius of the circle implies the length of the rope = 30 mts.

Q: What is the difference between the number of uneducated females in city P and that of uneducated males in city S ? 1690 0

  • 1
    9 lakhs
    Correct
    Wrong
  • 2
    6 lakhs
    Correct
    Wrong
  • 3
    3 lakhs
    Correct
    Wrong
  • 4
    2 lakhs
    Correct
    Wrong
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Answer : 1. "9 lakhs"
Explanation :

Answer: A) 9 lakhs Explanation: Educated females in city P = 25 lakhs Uneducated females in city P = 30 - 25 = 5 lakhs Educated males city S = 21 lakhs Educated males in city S = 35 - 21= 14 lakhs Required difference = 14 - 5 = 9 lakhs

Q: Order of basicity of amines in gaseous state? 1689 0

  • 1
    2'> 1'> 3' > NH3
    Correct
    Wrong
  • 2
    3' > 2' > 1'> NH3
    Correct
    Wrong
  • 3
    1' > 2' > 3'> NH3
    Correct
    Wrong
  • 4
    2'> 3'> 1' > NH3
    Correct
    Wrong
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Answer : 2. "3' > 2' > 1'> NH3"
Explanation :

Answer: B) 3' > 2' > 1'> NH3 Explanation: The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.   So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.   But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

Q: What gas makes up most of the atmosphere? 1689 0

  • 1
    Oxygen
    Correct
    Wrong
  • 2
    Helium
    Correct
    Wrong
  • 3
    Nitrogen
    Correct
    Wrong
  • 4
    Carbondioxide
    Correct
    Wrong
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Answer : 3. "Nitrogen"
Explanation :

Answer: C) Nitrogen Explanation: Our atmosphere is made up of 78% Nitrogen, 21% Oxygen and 1% all other gases like argon, carbon dioxide, neon, and helium.   So, Nitrogen makes up the majority of our atmosphere.

Q: On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students? 1689 0

  • 1
    380
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    441
    Correct
    Wrong
  • 4
    400
    Correct
    Wrong
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Answer : 2. "420"
Explanation :

Answer: B) 420 Explanation: Given total number of students in the class = 21   So each student will have 20 greeting cards to be send or receive (21 - 1(himself))   Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

Q: In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children? 1689 0

  • 1
    5/18
    Correct
    Wrong
  • 2
    4/9
    Correct
    Wrong
  • 3
    11/18
    Correct
    Wrong
  • 4
    17/36
    Correct
    Wrong
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Answer : 3. "11/18"
Explanation :

Answer: C) 11/18 Explanation: Let the total number of workers be x. Then,    Number of women = x/3 and number of men = x - x/3  = 2x/3   Number of women having children = x/18   Number of men having children = x/3   Number of workers having children = (x/18) + (x/3) = 7x/18    Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

Q: 311, 230, 294, ?, 281, 256   What will come in place of the question mark (?) in the above number series? 1687 0

  • 1
    240
    Correct
    Wrong
  • 2
    245
    Correct
    Wrong
  • 3
    244
    Correct
    Wrong
  • 4
    246
    Correct
    Wrong
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Answer : 2. "245"
Explanation :

Answer: B) 245 Explanation: Given 311   230   294   ?   281   256   311 - (9x9) = 230   230 + (8x8) = 294   294 - (7x7) = 245   245 + (6x6) = 281   281 - (5x5) = 256   Hence, the missing number in the given series is 245.

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