CAT Practice Question and Answer
8Q: In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects? 2909 15b5cc601e4d2b4197774b440
5b5cc601e4d2b4197774b440- 120%true
- 225%false
- 330%false
- 415%false
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Answer : 1. "20%"
Explanation :
Answer: A) 20% Explanation: Percentage of students passed in English = 60% Percentage of students passed in Hindi = 45% Percentage of students passed in both subjects = 25% ATQ, Percentage of students passed in only English = 60 - 25 = 35% Percentage of students passed in only Hindi = 45 - 25 = 20% Therefore, Percentage of students failed = 100 - (35 + 25 + 20) = 100 - 80 = 20%.
Q: Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik. Question:Who is the youngest ? 2907 05b5cc771e4d2b4197774ffee
5b5cc771e4d2b4197774ffee- 1Veerufalse
- 2Karthiktrue
- 3Vishalfalse
- 4Raghufalse
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Answer : 2. "Karthik"
Explanation :
Answer: B) Karthik Explanation: Let Priyatham's age = x Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4 So, the descending order of ages is : Veeru > Vishal > Priyatham > Raghu > Karthik Therefore, Karthik is the youngest.
Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 2906 05b5cc741e4d2b4197774f9cc
5b5cc741e4d2b4197774f9cc- 1Rs. 1595.14true
- 2Rs. 1793.4false
- 3Rs. 595.14false
- 4Rs. 1551.5false
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Answer : 1. "Rs. 1595.14"
Explanation :
Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.
Q: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 2903 05b5cc731e4d2b4197774f7dd
5b5cc731e4d2b4197774f7dd- 13/91true
- 22/73false
- 31/91false
- 43/73false
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Answer : 1. "3/91"
Explanation :
Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91
Q: Find the next number in the series 143 143 136 110 ? 2903 05b5cc6b6e4d2b4197774d5a8
5b5cc6b6e4d2b4197774d5a8- 191false
- 235false
- 347true
- 469false
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Answer : 3. "47"
Explanation :
Answer: C) 47 Explanation: The next number in the series is 143 143 136 110 0 7 26 (Differences) 13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.
Q: 80% of 900 + 162 x 4 x ? = 113 - 99 2901 05b5cc669e4d2b4197774bf6d
5b5cc669e4d2b4197774bf6d- 10.5true
- 21false
- 34false
- 40false
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Answer : 1. "0.5"
Explanation :
Answer: A) 0.5 Explanation: 80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5
Q: Is B2+ Paramagnetic or Diamagnetic? 2899 05b5cc69ae4d2b4197774c7ac
5b5cc69ae4d2b4197774c7ac- Show Answer
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Answer :
Explanation :
B2+ is a Paramagnetic. The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.
Q: Which statement best describes Arteries? 2899 05b5cc6a5e4d2b4197774ccb0
5b5cc6a5e4d2b4197774ccb0- 1They have thin walls and transport blood away from the heartfalse
- 2They have thick walls and transport blood toward the heartfalse
- 3They have thin walls and transport blood toward the heartfalse
- 4They have thick walls and transport blood away from the hearttrue
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Answer : 4. "They have thick walls and transport blood away from the heart"
Explanation :
Answer: D) They have thick walls and transport blood away from the heart Explanation: Because arteries have to have thick walls for use of protection. Its when you get to veins where the walls get thinner. And the use of the heart is to pump blood to all of the cells and organs in the body so it would be to transport blood away from the heart. i.e. Arteries = Away from the Heart Veins = Back to the Heart.