CAT Practice Question and Answer
8Q: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1846 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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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 05b5cc6c0e4d2b4197774dae9
5b5cc6c0e4d2b4197774dae9- 1Tikkanafalse
- 2Ganapathidevafalse
- 3Yerranafalse
- 4Palkuriki Somanathatrue
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Answer : 4. "Palkuriki Somanatha"
Explanation :
Answer: D) Palkuriki Somanatha Explanation:
Q: A Disease which spreads by contact? 1845 15b5cc6afe4d2b4197774d211
5b5cc6afe4d2b4197774d211- 1Infectiousfalse
- 2Fatalfalse
- 3Incurablefalse
- 4Contagioustrue
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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 05b5cc6d6e4d2b4197774e6a2
5b5cc6d6e4d2b4197774e6a2- 12 : 2 : 1false
- 24 : 2 : 1true
- 32 : 1 : 4false
- 41 : 1 : 1false
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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 05b5cc7d1e4d2b41977751286
5b5cc7d1e4d2b41977751286- 1123false
- 2113false
- 3246true
- 4945false
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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 05b5cc745e4d2b4197774fa1d
5b5cc745e4d2b4197774fa1d- 18/15false
- 27/15true
- 31/15false
- 44/15false
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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 05b5cc6d3e4d2b4197774e4fa
5b5cc6d3e4d2b4197774e4fa- 124 1/2 daysfalse
- 225 3/2 daysfalse
- 324 2/3 daysfalse
- 426 2/3 daystrue
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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 05b5cc64ae4d2b4197774bc30
5b5cc64ae4d2b4197774bc30- 1Main asteroid beltfalse
- 2Oort cloudfalse
- 3Kuiper belttrue
- 4None of the abovefalse
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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.

