GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3601 05b5cc6c5e4d2b4197774dd05
5b5cc6c5e4d2b4197774dd05- 117 daysfalse
- 211 daysfalse
- 315 daystrue
- 416 daysfalse
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उत्तर : 3. "15 days"
व्याख्या :
Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.
प्र: National Highway No: _____ is called as Shershah Suri Marg ? 3590 05b5cc6c5e4d2b4197774dd00
5b5cc6c5e4d2b4197774dd00- 1NH-1true
- 2NH-3false
- 3NH-7false
- 4NH-5false
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उत्तर : 1. "NH-1"
व्याख्या :
Answer: A) NH-1 Explanation: N.H. 1 is also called The Sher Shah Suri Marg between Delhi and Amritsar.
प्र: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1640 05b5cc6c4e4d2b4197774dcf6
5b5cc6c4e4d2b4197774dcf6- 1Rs. 34,410false
- 2Rs. 31,184false
- 3Rs. 29,999false
- 4Rs. 32,292true
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उत्तर : 4. "Rs. 32,292"
व्याख्या :
Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.
प्र: A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit ? 1217 05b5cc6c4e4d2b4197774dcfb
5b5cc6c4e4d2b4197774dcfb- 1Rs. 8,640false
- 2Rs. 9,850false
- 3Rs. 10,000true
- 4Rs. 11,220false
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उत्तर : 3. "Rs. 10,000"
व्याख्या :
Answer: C) Rs. 10,000 Explanation: Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12 = 36 : 36 : 48 = 6 : 6 : 8 But given that the annual profit of B is Rs. 3000 => 6 ratio = 3000 Then for the total annual profit of partners is 20 ratio = 3000 x 20/6 = 10,000.
प्र: Navaneet has thrice the money Poonam has and Poonam has 25% more money than Hebah. If the average money of the three is Rs. 350, What is the amount that Navaneet has ? 1408 05b5cc6c4e4d2b4197774dceb
5b5cc6c4e4d2b4197774dceb- 1Rs. 175false
- 2Rs. 220.75false
- 3Rs. 218.55false
- 4Rs. 656.25true
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उत्तर : 4. "Rs. 656.25"
व्याख्या :
Answer: D) Rs. 656.25 Explanation: Assume Hebah has Rs. M Since 25% more money at Poonam => Money at Poonam = M + (25% of M) => Money at Poonam = M + 0.25M = Rs. 1.25M Money with Navaneet is thrice the money with Poonam, => Money at Navaneet = 3(1.25M) = Rs. 3.75M Now, sum of all Money = (M + 1.25M + 3.75M) = Rs. 6M But given the average of the money is Rs. 350 => 6M/3 = 350 => 2M = 350 => M = 350/2 = Rs. 175 => Amount of money Navaneet has = Rs. 3.75M = 3.75 x 175 = Rs. 656.25.
प्र: What should come in place of question mark (?) in the following number series? 38, 195, ?, 4905, 24530, 122655 1354 05b5cc6c4e4d2b4197774dcd2
5b5cc6c4e4d2b4197774dcd2- 1980true
- 2885false
- 3824false
- 41021false
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उत्तर : 1. "980"
व्याख्या :
Answer: A) 980 Explanation: The given series follows the pattern that, ×5+5, ×5+5, ×5+5, ×5+5, ×5+5 38 x 5 + 5 = 195 195 x 5 + 5 = 980 980 x 5 + 5 = 4905 4905 x 5 + 5 = 24530 24530 x 5 + 5 = 122655 So the missing number is 980 .
प्र: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1203 05b5cc6c4e4d2b4197774dcc3
5b5cc6c4e4d2b4197774dcc3- 1250 mtsfalse
- 2400 mtstrue
- 3320 mtsfalse
- 4390 mtsfalse
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उत्तर : 2. "400 mts"
व्याख्या :
Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.
प्र: To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? 1111 05b5cc6c4e4d2b4197774dcb3
5b5cc6c4e4d2b4197774dcb3- 17920true
- 274841false
- 314874false
- 410213false
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उत्तर : 1. "7920"
व्याख्या :
Answer: A) 7920 Explanation: ST candidates vacancies can be filled by C35 ways = 10 Remaining vacancies are 5 that are to be filled by 12 => C512= (12x11x10x9x8)/(5x4x3x2x1) = 792 Total number of filling the vacancies = 10 x 792 = 7920

