CAT Practice Question and Answer

Q: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 3658 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.

Q: Tennis rackets and ballpoint pens are 3658 0

  • 1
    complementary goods
    Correct
    Wrong
  • 2
    independent goods
    Correct
    Wrong
  • 3
    inferior goods
    Correct
    Wrong
  • 4
    substitute goods
    Correct
    Wrong
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Answer : 2. "independent goods"
Explanation :

Answer: B) independent goods Explanation: Tennis rackets and ballpoint pens are two independent goods. Since, one doesn't depend on the other.

Q: What is the minimum number of colour pencils required to fill the spaces in the below figure with no two adjacent spaces have the same colour ? 3657 0

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

Answer: C) 3 Explanation: The given figure can be labelled as shown : The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3655 0

  • 1
    A = 48000 B = 40000 C = 30000
    Correct
    Wrong
  • 2
    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
  • 3
    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
  • 4
    A = 40000 B = 48000 C = 30000
    Correct
    Wrong
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3653 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 3652 0

  • 1
    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

Q: In which ecosystem grassland is included? 3650 0

  • 1
    Terrestrial
    Correct
    Wrong
  • 2
    Marine
    Correct
    Wrong
  • 3
    Artificial
    Correct
    Wrong
  • 4
    Fresh water
    Correct
    Wrong
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Answer : 1. "Terrestrial"
Explanation :

Answer: A) Terrestrial Explanation: Grasslands are found in most ecoregions of the Earth. For example, there are five terrestrial ecoregion classifications of the temperate grasslands, savannas, and shrublands ecosystem, which is one of eight terrestrial ecozones of the Earth's surface.

Q: Alexander, the Great invaded India during the rule of ? 3650 0

  • 1
    Mahapadma Nanda
    Correct
    Wrong
  • 2
    Dhana Nanda
    Correct
    Wrong
  • 3
    Ajatshatru
    Correct
    Wrong
  • 4
    Bimbisara
    Correct
    Wrong
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Answer : 2. "Dhana Nanda"
Explanation :

Answer: B) Dhana Nanda Explanation:

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