CAT Practice Question and Answer

Q: Math Challenge 2085 0

  • 1
    7
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: Let the required number be 'N' given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7 => N/4 + 7 = 2N => N + 28 = 8N 7N = 28 N = 4.

Q: Which city has become the first Indian city to have its own logo? 2084 0

  • 1
    Bengaluru
    Correct
    Wrong
  • 2
    Hyderabad
    Correct
    Wrong
  • 3
    New Delhi
    Correct
    Wrong
  • 4
    Gujarat
    Correct
    Wrong
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Answer : 1. "Bengaluru"
Explanation :

Answer: A) Bengaluru Explanation: Bengaluru becomes the first Indian city to get its very own logo Much like New York and Singapore, Bengaluru is set to get its own logo, becoming the first Indian city to do so.

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 2084 0

  • 1
    205
    Correct
    Wrong
  • 2
    194
    Correct
    Wrong
  • 3
    209
    Correct
    Wrong
  • 4
    159
    Correct
    Wrong
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Answer : 3. "209"
Explanation :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

Q: The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made. 2083 0

  • 1
    312 sq.cm
    Correct
    Wrong
  • 2
    128 sq.cm
    Correct
    Wrong
  • 3
    412 sq.cm
    Correct
    Wrong
  • 4
    246 sq.cm
    Correct
    Wrong
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Answer : 2. "128 sq.cm"
Explanation :

Answer: B) 128 sq.cm Explanation: Area =    = 96   Sum of Area =

Q: 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together. 2081 0

  • 1
    11/379
    Correct
    Wrong
  • 2
    21/628
    Correct
    Wrong
  • 3
    24/625
    Correct
    Wrong
  • 4
    26/247
    Correct
    Wrong
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Answer : 3. "24/625"
Explanation :

Answer: C) 24/625 Explanation: Total no of ways = (14 – 1)! = 13! Number of favorable ways = (12 – 1)! = 11!   So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

Q: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 2080 0

  • 1
    11 months
    Correct
    Wrong
  • 2
    9 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    10 months
    Correct
    Wrong
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Answer : 4. "10 months"
Explanation :

Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months

Q: Statement: There is a substantial increase in the number of accidents causing deaths and severe injuries due to malfunctioning of the traffic signals.Course of action:a. The traffic police should immediately post traffic personnel at the junctions.b. The signal system should immediately be repaired or replaced. 2079 0

  • 1
    Only a follows
    Correct
    Wrong
  • 2
    Either a or b follows
    Correct
    Wrong
  • 3
    Only b follows
    Correct
    Wrong
  • 4
    Neither a nor b follows
    Correct
    Wrong
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Answer : 2. "Either a or b follows"
Explanation :

Answer: B) Either a or b follows Explanation: Clearly, either the traffic signals should be made to function properly or traffic personnel should be deployed to guide vehicular movement in the right way. So either I or II follows.

Q: What is one way to appeal to ethos? 2079 0

  • 1
    By referencing trusted sources
    Correct
    Wrong
  • 2
    By starting with a specific argument
    Correct
    Wrong
  • 3
    By creating a repetitive pattern
    Correct
    Wrong
  • 4
    By choosing descriptive nouns
    Correct
    Wrong
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Answer : 3. "By creating a repetitive pattern"
Explanation :

Answer: C) By creating a repetitive pattern Explanation: The Three Rhetorical Appeals is an argument made by Aristotle in which he states that there are three elements to the art of persuasion: ethos, pathos and logos.   Ethos is the ethical appeal, which intends to persuade the audience of the author's credibility/character. Pathos is the emotional appeal, which intends to persuade the audience by appealing to their emotions. Logos is the logical appeal, which intends to persuade the audience using reason and logic.   In order to make an ethos, or ethical appeal, convince the audience that you are a reliable, intelligent and can be trusted. Here is how you can achieve this: 1. Provide personal experience or know someone whose experience can relate to what you are talking about 2. Use detailed and recent research in your argument 3. Use professional and appropriate vocabulary 4. Avoid sounding overly emotional 5. Only use first person when talking about personal experience; otherwise, write in third person.

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