CAT Practice Question and Answer
8Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2412 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
- 464false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = ⁵P₃ = 60.
Q: 12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ? 1412 05b5cc6d7e4d2b4197774e700
5b5cc6d7e4d2b4197774e700- 12 daysfalse
- 22.5 daysfalse
- 32.25 daystrue
- 43 daysfalse
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Answer : 3. "2.25 days"
Explanation :
Answer: C) 2.25 days Explanation: 1 man's 1 day work = 1/108 12 men's 6 day's work = 1/9 x 6 = 2/3 Remaining work = 1 - 2/3 = 1/3 16 men's 1 day work = 1/108 x 16 = 4/274/27 work is done by them in 1 day. 1/3 work is done by them in 27/4 x 1/3 = 9/4 days.
Q: In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ? 3331 05b5cc6d7e4d2b4197774e6fb
5b5cc6d7e4d2b4197774e6fb- 13241false
- 22457false
- 32642false
- 42834true
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Answer : 4. "2834"
Explanation :
Answer: D) 2834 Explanation: Let the total number of votes polled in the election be 100k.Number of valid votes = 100k - 20% (100k) = 80kLet the number of votes polled in favour of K and L be a and b respectively.a - b = 15% (100k) => a = b + 15k=> a + b = b + 15k + bNow, 2b + 15k = 80k and hence b = 32.5kIt is given that 100k = 872032.5k = 32.5k/100k x 8720 = 2834 The number of valid votes polled in favour of L is 2834.
Q: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 2493 05b5cc6d7e4d2b4197774e6f6
5b5cc6d7e4d2b4197774e6f6- 1Rs. 316true
- 2Rs. 251false
- 3Rs. 154false
- 4Rs. 294false
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Answer : 1. "Rs. 316"
Explanation :
Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.
Q: World’s largest floating Solar Farm launched in ____________. 1459 05b5cc6d7e4d2b4197774e6f1
5b5cc6d7e4d2b4197774e6f1- 1Japanfalse
- 2Chinatrue
- 3Russiafalse
- 4Francefalse
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Answer : 2. "China"
Explanation :
Answer: B) China Explanation: China flicked the switch on the world’s largest floating solar energy plant. The massive waterborne plant is expected to generate 40 megawatts at one time and could supply electricity for over 15,000 homes. The pioneering project, located in eastern China, is thought to cement China’s status as a top producer of solar energy in the world. The plant has been built in Huainan city, Anhui Province, by Sungrow Power Supply, a Chinese company specialised in renewable energy.
Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 1686 05b5cc6d7e4d2b4197774e6e2
5b5cc6d7e4d2b4197774e6e2- 142 secfalse
- 244 secfalse
- 346 secfalse
- 448 sectrue
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Answer : 4. "48 sec"
Explanation :
Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.
Q: How many Indian states share border with Myanmar ? 2017 05b5cc6d7e4d2b4197774e6dd
5b5cc6d7e4d2b4197774e6dd- 16false
- 27false
- 33false
- 44true
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Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: The four northeast Indian states share 1,643-km border with Myanmar – Arunachal Pradesh, Nagaland, Mizoram and Manipur. It is in news recently, because the Indian Government has set up an expert committee to examine the rules which allow free movement of Indian and Myanmarese citizens within 16 kms of the border, but are exploited by militants for smuggling arms, drugs, and fake Indian currency. The committee will be headed by the special secretary (Internal Security) in the Ministry of Home Affairs. The committee will give its report for uniform and effective implementation of free movement regime within 3 months. It will also prepare standard operating procedures common for all the four states so that militants, criminals and contraband are filtered at the border without causing inconvenience to genuine people.
Q: Eminent poet, litterateur and Jnanpith awardee C. Narayana Reddy who passed away in June 2017, he was a famous poet of _________ and ____________ language. 1618 05b5cc6d7e4d2b4197774e6d8
5b5cc6d7e4d2b4197774e6d8- 1Kannada and Hindifalse
- 2Telugu and Malayalamfalse
- 3Hindi and Urdufalse
- 4Telugu and Urdutrue
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Answer : 4. "Telugu and Urdu"
Explanation :
Answer: D) Telugu and Urdu Explanation: Eminent poet, litterateur and Jnanpith awardee C. Narayana Reddy, popularly known as CiNaRe, passed away. CiNaRe was known for his use of Telugu in its pure form, and would not be swayed by filmmakers on the use of the language. He was awarded the Padma Shri in 1977 and the Padma Bhushan in 1992. His compilation of poems, titled ‘Viswambhara’, got him the Jnanpith award in 1988. In 1997, he was nominated as a Member of the Rajya Sabha.

