GATE Practice Question and Answer
8Q: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 2265 05b5cc71ee4d2b4197774f590
5b5cc71ee4d2b4197774f590- 111 monthsfalse
- 210 monthsfalse
- 39 monthsfalse
- 48 monthstrue
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Answer : 4. "8 months"
Explanation :
Answer: D) 8 months Explanation: Let the total Profit be Z.Ramu's profit share is 2/3 of profit (i.e 2Z/3)Ravi's profit is (Z-2Z/3) =Z/3Hence the profit ratio is , Ravi : Ramu = Z/3 : 2Z/3 = 1:2 Let total Capital be Rs.X and Ramu has contributed for Y months.Since Ramu's profit share is 2/3, his invest share will be 2/3 in capital. Ravi's invest for 16 months / Ramu's invest for Y months = Ravi's profit share / Ramu's profit sharei.e. (X/6 x 16) / (2X/3 x Y) = 1/2 Solving the above equation, we get Y = 8.So Ramu's money has been used for 8 months.
Q: Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ? 2263 05b5cc6c2e4d2b4197774dbeb
5b5cc6c2e4d2b4197774dbeb- 1Rs.1000true
- 2Rs. 1020false
- 3Rs.1210false
- 4Rs.1140false
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Answer : 1. "Rs.1000"
Explanation :
Answer: A) Rs.1000 Explanation: Cost price of the article is given by = 400x100/(20+20) = Rs.1000
Q: 5 C in an OF? 2260 05b5cc6aee4d2b4197774d18d
5b5cc6aee4d2b4197774d18d- 15 Cards in an Old Fanfalse
- 25 Circles in an Olympic Flagtrue
- 35 Colors in an Old Footballfalse
- 45 Colors in an Old Flagfalse
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Answer : 2. "5 Circles in an Olympic Flag"
Explanation :
Answer: B) 5 Circles in an Olympic Flag Explanation: 5 C in an OF denotes 5 Circles in an Olympic Flag. These are riddles of type 12 S of the Z 52 W in a Y.
Q: The sum of three consecutive odd numbers is 93. What is the middle number? 2259 05b5cc6b7e4d2b4197774d5e7
5b5cc6b7e4d2b4197774d5e7- 131true
- 233false
- 329false
- 427false
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Answer : 1. "31"
Explanation :
Answer: A) 31 Explanation: Let the three consecutive odd numbers be x, x+2, x+4 Then, x + x + 2 + x + 4 = 93 => 3x + 6 = 93 => 3x = 87 => x = 29 => 29, 31, 33 are three consecutive odd numbers. Therefore, the middle number is 31.
Q: If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is: 2257 05b5cc6e7e4d2b4197774ed7e
5b5cc6e7e4d2b4197774ed7e- 1Rs. 408false
- 2Rs. 204true
- 3Rs. 412false
- 4Rs. 220false
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Answer : 2. "Rs. 204"
Explanation :
Answer: B) Rs. 204 Explanation: Given ratio = 1/2:2/3:3/4 = 6:8:9 1st part = 782 x 6/23 = Rs. 204.
Q: P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ? 2256 05b5cc774e4d2b41977750039
5b5cc774e4d2b41977750039- 13 amfalse
- 212 pmfalse
- 31 pmfalse
- 43 pmtrue
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Answer : 4. "3 pm"
Explanation :
Answer: D) 3 pm Explanation: Work done by P and Q in the first two hours, working alternately = First hour P + Second hour Q ⇒14+112=13 work is completed in 2 hours Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours Thus, work will be completed at 3pm.
Q: The Largest Component of National Income is 2255 05b5cc6b1e4d2b4197774d323
5b5cc6b1e4d2b4197774d323- 1Proprietors Incomefalse
- 2Compensation of Employeestrue
- 3Corporate Profitsfalse
- 4Rental Incomefalse
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Answer : 2. "Compensation of Employees"
Explanation :
Answer: B) Compensation of Employees Explanation: National Income is the total income value of the goods and services produced by the residents of a country, usually during the period of one year. National Income is categorized into 6 components. They are : 1. Compensation of Employees (Wages and Benefits) 2. Corporate Profits 3. Rental Income 4. Proprietors Income (Income of unincorporated business) 5. Net Interest The Largest Component of National Income is Compensation of Employees. The Largest component of National Income in India is Service Sector.
Q: P, Q and R secured 45%, 50% and 60% marks respectively in Biology. M’s marks in Biology is 12.5 more than P’s marks and 4 less than R’s marks. Find out the individual marks of four students. A. For the students, total marks obtained for Biology is 311.5.B. Total of M’s and P’s marks in Biology is 147.5.C. R has obtained 84 marks. 2254 05b5cc69fe4d2b4197774c9ec
5b5cc69fe4d2b4197774c9ec- 1Only Cfalse
- 2Only A & Bfalse
- 3All are requiredfalse
- 4None of the statements is requiredtrue
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Answer : 4. "None of the statements is required"
Explanation :
Answer: D) None of the statements is required Explanation: From the given data, (60 - 45)% = 12.5 + 415% = 16.5=> 100% = ?100% = 16.5 x 100/15 = 110 Hence, P = 45% of 110 = 45x110/100 = 49.5 Q = 50% of 110 = 55R = 60% of 110 = 60 x 110/100 = 66M = 12.5 + 49.5 = 62 or 66 - 4 = 62 Hence, no statement is required to answer.