CAT Practice Question and Answer
8Q: 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 05b5cc6ebe4d2b4197774ee6e
5b5cc6ebe4d2b4197774ee6e- 16false
- 28false
- 34true
- 45false
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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 05b5cc60ae4d2b4197774b5ab
5b5cc60ae4d2b4197774b5ab- 1complementary goodsfalse
- 2independent goodstrue
- 3inferior goodsfalse
- 4substitute goodsfalse
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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 05b5cc76fe4d2b4197774ff21
5b5cc76fe4d2b4197774ff21- 15false
- 22false
- 33true
- 46false
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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 05b5cc6ebe4d2b4197774eeaa
5b5cc6ebe4d2b4197774eeaa- 1A = 48000 B = 40000 C = 30000false
- 2A = 30000 B = 40000 C = 48000true
- 3A = 30000 B = 48000 C = 40000false
- 4A = 40000 B = 48000 C = 30000false
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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 05b5cc728e4d2b4197774f714
5b5cc728e4d2b4197774f714- 117 + 4/7 daysfalse
- 213 + 1/3 daystrue
- 315 + 3/2 daysfalse
- 416 daysfalse
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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 05b5cc731e4d2b4197774f814
5b5cc731e4d2b4197774f814- 1120true
- 2240false
- 3360false
- 4180false
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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 05b5cc69be4d2b4197774c7bd
5b5cc69be4d2b4197774c7bd- 1Terrestrialtrue
- 2Marinefalse
- 3Artificialfalse
- 4Fresh waterfalse
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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 05b5cc6e9e4d2b4197774edde
5b5cc6e9e4d2b4197774edde- 1Mahapadma Nandafalse
- 2Dhana Nandatrue
- 3Ajatshatrufalse
- 4Bimbisarafalse
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Answer : 2. "Dhana Nanda"
Explanation :
Answer: B) Dhana Nanda Explanation:

