CAT Practice Question and Answer

Q: In a certain code language 'how many goals scored' is written as '5397'; 'many more matches' is written as '982'; and 'he scored five' is written as '163'. How is 'goals' written in that code language ? 7579 0

  • 1
    5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: From the given data,how many goals scored = 5397....(1)many more matches = 982.....(2)he scored five = 163.....(3)from (1)&(2), many = 9 ....(4)from (1)&(3), scored = 3 ....(5)Using (4)&(5)in(1), we get goals = 5 or 7.

Q: For x∈N, x>1,  and  p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7572 2

  • 1
    p < q
    Correct
    Wrong
  • 2
    p = q
    Correct
    Wrong
  • 3
    p > q
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 3. "p > q"
Explanation :

Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and  k > l        Let     k = x+1    and   l = x       Therefore, x+1x>(x+1)+1(x)+1        (x + 1) > x       Therefore, log(x+1)log(x)>log(x+2)log(x+1)       ⇒logxx+1 >logx+1x+2

Q: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? 7556 0

  • 1
    6/7
    Correct
    Wrong
  • 2
    19/21
    Correct
    Wrong
  • 3
    7/31
    Correct
    Wrong
  • 4
    5/21
    Correct
    Wrong
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Answer : 4. "5/21"
Explanation :

Answer: D) 5/21 Explanation: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅= (10 x 6)/252 = 5/21

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Answer : 3. "23"
Explanation :

Answer: C) 23 Explanation: Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages. Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3 Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12 Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5 Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20 Number of persons who can speak two languages = 2 Number of person who an speak all the languages = 1 Total number of persons = 23.

Q: First Indian woman to win Man Booker Prize? 7509 0

  • 1
    Kiran Desai
    Correct
    Wrong
  • 2
    V.S. Naipaul
    Correct
    Wrong
  • 3
    Salman Rushdie
    Correct
    Wrong
  • 4
    Arundhati Roy
    Correct
    Wrong
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Answer : 4. "Arundhati Roy"
Explanation :

Answer: D) Arundhati Roy Explanation: Arundhati Roy was the first Indian woman to win the Man Booker Prize in the year 1997. An Indian writer, Arundhati Roy, was awarded England's prestigious Booker Prize this evening for her first novel, ''The God of Small Things,'' a soaring story about a set of twins struggling to make sense of the world, themselves and their strange and difficult family in southern India.   Kiran Desai was the youngest woman to win the Man Booker Prize. Bernice Rubens became the first woman to win the Booker Prize in 1970. Man Booker Prize is one of the world's richest literary prizes.

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Answer : 3. "Raju"
Explanation :

Answer: C) Raju Explanation: Suppose Sweety is sitting between Rohan and Karthik such that she is to the right of him.....then as Raju is opposite to Rohan then Raju must be to the left of Karthik.

Q: Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ? 7472 0

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

Answer: C) 1 km Explanation:

Q: Find the missing number? 15, 30, ? , 40, 8, 48 7450 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

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