CAT Practice Question and Answer

Q: The Value of  logtan10+logtan20+⋯⋯+logtan890 is 1846 1

  • 1
    -1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "0"
Explanation :

Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450     = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1     ∵ tan(90-θ)=cotθ and tan 450=1     = log 1 + log 1 +.....+log 1    = 0.

Q: Who is the author of the book "Panditharadya Charitham" ? 1845 0

  • 1
    Tikkana
    Correct
    Wrong
  • 2
    Ganapathideva
    Correct
    Wrong
  • 3
    Yerrana
    Correct
    Wrong
  • 4
    Palkuriki Somanatha
    Correct
    Wrong
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Answer : 4. "Palkuriki Somanatha"
Explanation :

Answer: D) Palkuriki Somanatha Explanation:

Q: A Disease which spreads by contact? 1845 1

  • 1
    Infectious
    Correct
    Wrong
  • 2
    Fatal
    Correct
    Wrong
  • 3
    Incurable
    Correct
    Wrong
  • 4
    Contagious
    Correct
    Wrong
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Answer : 4. "Contagious"
Explanation :

Answer: D) Contagious Explanation: A Disease which spreads by contact are Contagious. Infectious diseases : These are caused by microscopic germs such as bacteria or viruses that get into the body and cause problems. Some but not all infectious diseases spread directly from one person to another. Infectious diseases that spread from person to person are said to be contagious. Some infections spread to people from an animal or insect, but are not contagious from another human.  Contagious diseases such as the flu, colds, or strep throat spread from person to person in several ways. One way is through direct physical contact, like touching or kissing a person who has the infection. Another way is when an infectious microbe travels through the air after someone nearby sneezes or coughs. Fatal Diseases : Diseases leading to failure or disaster. Incurable Diseases : Diseases of a sick person not able to be cured.

Q: As per the provisions of Section 12 of the Banking Regulation Act, 1949, the minimum ratio between authorized, subscribed and paid-up capital of a banking company should be 1845 0

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

Answer: B) 4 : 2 : 1 Explanation: As per the provisions of Section 12 of the Banking Regulation Act, 1949, the minimum ratio should be 4:2:1.

Q: A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady? 1844 0

  • 1
    123
    Correct
    Wrong
  • 2
    113
    Correct
    Wrong
  • 3
    246
    Correct
    Wrong
  • 4
    945
    Correct
    Wrong
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Answer : 3. "246"
Explanation :

Answer: C) 246 Explanation: A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking.    (i) 1 lady out of 4 and 4 gentlemen out of 6  (ii) 2 ladies out of 4 and 3 gentlemen out of 6  (iii) 3 ladies out of 4 and 2 gentlemen out of 6  (iv) 4 ladies out of 4 and 1 gentlemen out of 6    In case I the number of ways = C14×C46 = 4 x 15 = 60  In case II the number of ways = C24×C36 = 6 x 20 = 120  In case III the number of ways = C34×C26 = 4 x 15 = 60 In case IV the number of ways = C44×C16 = 1 x 6 = 6    Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

Q: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 1844 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
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Answer : 2. "7/15"
Explanation :

Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Q: After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ? 1842 0

  • 1
    24 1/2 days
    Correct
    Wrong
  • 2
    25 3/2 days
    Correct
    Wrong
  • 3
    24 2/3 days
    Correct
    Wrong
  • 4
    26 2/3 days
    Correct
    Wrong
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Answer : 4. "26 2/3 days"
Explanation :

Answer: D) 26 2/3 days Explanation: 1/3 ---- 8 1 -------? Hari can do total work in = 24 days As satya is 60% efficient as Hari, then Satya = 1/24 x 60/100 = 1/40 => Satya can do total work in 40 days 1 ----- 40 2/3 ---- ? => 26 2/3 days.

Q: Pluto dwells on the inner edge of the 1842 0

  • 1
    Main asteroid belt
    Correct
    Wrong
  • 2
    Oort cloud
    Correct
    Wrong
  • 3
    Kuiper belt
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Kuiper belt"
Explanation :

Answer: C) Kuiper belt Explanation: Pluto dwells on the inner edge of the The Kuiper belt which is a belt of asteroids that lies on the outer edge of the solar system. Pluto is a dwarf planet that is supposed to be no longer a planet and is still considered a planet because of its history in the solar system.   It takes 248 years to make one orbit around the sun. As to where it is, depends on time.

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