GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Deepa started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Sushma joined her with an amount of Rs.70,000. Deepa invested another Rs. 20,000 in 2011 and Avanthi joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Sushma's share ? 4344 05b5cc72ce4d2b4197774f750
5b5cc72ce4d2b4197774f750- 1Rs. 75,000false
- 2Rs. 85,000false
- 3Rs. 98,000false
- 4Rs. 1,00,000true
- उत्तर देखेंउत्तर छिपाएं
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उत्तर : 4. "Rs. 1,00,000"
व्याख्या :
Answer: D) Rs. 1,00,000 Explanation: Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 monthsAnd, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months. Their investing ratio:Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1 Total profit for 3 years = Rs.3,00,000Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.
प्र: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4343 05b5cc75ee4d2b4197774fcb1
5b5cc75ee4d2b4197774fcb1- 16:31false
- 211:30false
- 37:30true
- 431:6false
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उत्तर : 3. "7:30"
व्याख्या :
Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30 Therefore, the ratio is 7 : 30
प्र: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4338 05b5cc6e2e4d2b4197774ec5c
5b5cc6e2e4d2b4197774ec5c- 142true
- 254false
- 346false
- 458false
- उत्तर देखेंउत्तर छिपाएं
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उत्तर : 1. "42"
व्याख्या :
Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.
प्र: 194, 194, 191, 183, 168, ? Find the next number in the above series? 4321 05b5cc6bce4d2b4197774d872
5b5cc6bce4d2b4197774d872- 1154false
- 2156false
- 3144true
- 4143false
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उत्तर : 3. "144"
व्याख्या :
Answer: C) 144 Explanation: Here the series follows, 194 194 - (1x1 - 1) = 194 194 - (2x2 - 1) = 191 191 - (3x3 - 1) = 183 183 - (4x4 - 1) = 168 168 - (5x5 - 1) = 144
प्र: The number of ways in which 8 distinct toys can be distributed among 5 children? 4319 05b5cc699e4d2b4197774c700
5b5cc699e4d2b4197774c700- 15P8false
- 25^8true
- 38P5false
- 48^5false
- उत्तर देखेंउत्तर छिपाएं
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उत्तर : 2. "5^8"
व्याख्या :
Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys. Hence, it is 58 and not 85.
प्र: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4314 05b5cc6bde4d2b4197774d8de
5b5cc6bde4d2b4197774d8de- 1A gain of Rs. 27false
- 2A loss of Rs. 37true
- 3A loss of Rs. 27false
- 4A gain of Rs. 37false
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उत्तर : 2. "A loss of Rs. 37"
व्याख्या :
Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is: 64 − 27 = 37 A loss of Rs.37
प्र: इनमें से कौन एक साधारण मशीन नहीं है? 4313 15b5cc607e4d2b4197774b55e
5b5cc607e4d2b4197774b55e- 1कैंची की एक जोड़ीtrue
- 2एक लीवरfalse
- 3एक रैंपfalse
- 4चरखीfalse
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उत्तर : 1. "कैंची की एक जोड़ी"
व्याख्या :
Answer: A) कैंची की एक जोड़ी व्याख्या: बल लगाने के लिए किसी भी बुनियादी यांत्रिक उपकरण को सरल मशीन कहा जाता है। 6 बुनियादी सरल मशीनें हैं; लीवर, पहिया और धुरी, झुका हुआ विमान, पच्चर, चरखी और पेंच। इनमें से कई सरल मशीनें एक दूसरे से संबंधित हैं। लेकिन, काम करने की दुनिया में प्रत्येक का एक विशिष्ट उद्देश्य होता है।
प्र: One Word substitute : Extreme old age when a man behaves like a fool 4306 05b5cc6d8e4d2b4197774e787
5b5cc6d8e4d2b4197774e787- 1Superannuationfalse
- 2Imbecilityfalse
- 3Senilityfalse
- 4Dotagetrue
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उत्तर : 4. "Dotage"
व्याख्या :
Answer: D) Dotage Explanation: