GATE Practice Question and Answer
8Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 1914 05b5cc764e4d2b4197774fd80
5b5cc764e4d2b4197774fd80- 1100 mtsfalse
- 296 mtsfalse
- 398 mtstrue
- 4120 mtsfalse
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Answer : 3. "98 mts"
Explanation :
Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.
Q: 5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ? 1913 05b5cc72ce4d2b4197774f7a1
5b5cc72ce4d2b4197774f7a1- 162.5 %true
- 2125 %false
- 384.32 %false
- 446.87 %false
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Answer : 1. "62.5 %"
Explanation :
Answer: A) 62.5 % Explanation: Let total population = p number of females = 5p/9number of males =(p-5p/9) = 4p/9married females = 30% of 5p/9 = 30x5p/100x9 = p/6married males = p/6unmarried males =(4p/9-p/6) = 5p/18Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%
Q: When the price of whear was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption of family? 1911 05b5cc61ee4d2b4197774b758
5b5cc61ee4d2b4197774b758- 127 kgsfalse
- 225 kgstrue
- 324 kgsfalse
- 421 kgsfalse
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Answer : 2. "25 kgs"
Explanation :
Answer: B) 25 kgs Explanation: Initial wheat per kg cost be Rs. 100 Then, monthly expenditure of the family = 30 x 100 = 3000 After increase in cost, Let P be new monthly consumption of family. P x 132 = 110/100 x 3000 => P = 25 kg.
Q: Which one of the following scripts of ancient India was written from right to left ? 1910 05b5cc6dbe4d2b4197774e946
5b5cc6dbe4d2b4197774e946- 1Brahmifalse
- 2Kharoshtitrue
- 3Nandnagarifalse
- 4Sharadafalse
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Answer : 2. "Kharoshti"
Explanation :
Answer: B) Kharoshti Explanation: The Kharoshi script is an ancient script used by the ancient Gandhara culture of South Asia primarily in modern-day Afghanistan and Pakistan to write the Gandhari language (a dialect of Prakrit) and the Sanskrit language.
Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 1910 05b5cc6ade4d2b4197774d0f9
5b5cc6ade4d2b4197774d0f9- 14320true
- 24694false
- 34957false
- 44871false
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Answer : 1. "4320"
Explanation :
Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.
Q: Find the odd man out in the following number series? 71, 88, 113, 150, 203, 277 1909 05b5cc678e4d2b4197774c158
5b5cc678e4d2b4197774c158- 1277true
- 2203false
- 3150false
- 4113false
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Answer : 1. "277"
Explanation :
Answer: A) 277 Explanation: The given number series is 71 88 113 150 203 277 +17 +25 +37 +53 +74 +8 +12 +16 +21 +4 +4 +5 The series should be 71 88 112 150 203 276 i.e, the differences of the difference should be +4. Hence, the odd man in the given series is 277.
Q: Mr. X sold two properties P1 and P2 for Rs 1,00,000 each. He sold property P1 for 20% less than what he paid for it. What is the percentage of profit of property P2, so that he is not in gain or loss on the sale of two properties? 1904 05b5cc6aae4d2b4197774cf6f
5b5cc6aae4d2b4197774cf6f- 133.33%true
- 229.97%false
- 325%false
- 422.22%false
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Answer : 1. "33.33%"
Explanation :
Answer: A) 33.33% Explanation: Let 'A' be the cost price of property P1. Then from the given data, the selling price of P1 = Rs. 1,00,000 He got 20% loss on selling P1 ⇒A - 20A100 = 100000⇒A = 1,25,000 Therefore, the amount he lossed on selling P1 = 25,000 As ge he got no loss or gain on sale of P1 and P2, the gain on selling P2 = 25,000 But the selling price of P2 = 1,00,000 => Cost price of P2 = 75,000 Hence, the profit percentage on P2 = GainCPx 100 = 2500075000x100 = 1003= 33.33%
Q: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 1903 05b5cc6e1e4d2b4197774ebf7
5b5cc6e1e4d2b4197774ebf7- 1Rs. 1100false
- 2Rs. 1200true
- 3Rs. 1000false
- 4Rs. 1840false
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Answer : 2. "Rs. 1200"
Explanation :
Answer: B) Rs. 1200 Explanation: P --- 10 ----- 600 P --- 5 ----- 300 3P --- 5 ----- 900 __________ 1200