GATE Practice Question and Answer
8Q: Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ? 2202 05b5cc6d1e4d2b4197774e3d4
5b5cc6d1e4d2b4197774e3d4- 176.8false
- 286.8false
- 378.8false
- 484.8true
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Answer : 4. "84.8"
Explanation :
Answer: D) 84.8 Explanation: Let 'M' be the maximum marks in the examination. Therefore, Madhu got 32% of M = 32M/100 = 0.32MAnd Kumar got 42% of M = 42M/100 = 0.42M.In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1) The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2) Now, Equating (1) and (2), we get0.1M = 24 => M = 24/0.1 = 240'M' is the maximum mark and is equal to 240 marks.We know that Madhu got 32% of the maximum marks.Therefore, Madhu got 32 x 240/100 = 76.8 marks.We also know that Madhu got 8 marks less than the cut-off marks. Therefore, the cut-off marks will be 8 marks more than what Madhu got = 76.8 + 8 = 84.8.
Q: 1.12.91 is the first Tuesday. Which is the fourth Thursday of December 91 ? 2202 05b5cc6dbe4d2b4197774e8ff
5b5cc6dbe4d2b4197774e8ff- 122.12.91false
- 225.12.91true
- 324.12.91false
- 423.12.91false
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Answer : 2. "25.12.91"
Explanation :
Answer: B) 25.12.91 Explanation: Given that 2.12.91 is the first TuesdayHence we can assume that 4.12.91 is the first Thursday If we add 7 days to 4.12.91, we will get second ThursdayIf we add 14 days to 4.12.91, we will get third ThursdayIf we add 21 days to 4.12.91, we will get fourth Thursday => fourth Thursday = (4.12.91 + 21 days) = 25.12.91.
Q: Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ? 2201 05b5cc6c5e4d2b4197774ddc3
5b5cc6c5e4d2b4197774ddc3- 115.84false
- 214.92false
- 313.98false
- 416.38true
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Answer : 4. "16.38"
Explanation :
Answer: D) 16.38 Explanation: Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg. Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25) => Total cost of the mixture = Rs. 630 Total kgs of the mixture = 30 + 20 = 50kg Cost of mixture/kg = 630/50 = 12.6/kg To make 30% of profit => Selling price for manideep = 12.6 + 30% x 12.6 => Selling price for manideep = 12.6 + 3.78 = 16.38/kg.
Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 2201 05b5cc736e4d2b4197774f850
5b5cc736e4d2b4197774f850- 125 : 114false
- 235 : 103true
- 315 : 108false
- 441 : 94false
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Answer : 2. "35 : 103"
Explanation :
Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.
Q: If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ? 2199 05b5cc6c7e4d2b4197774dea0
5b5cc6c7e4d2b4197774dea0- 156false
- 264false
- 387false
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Answer : 4. "78"
Explanation :
Answer: D) 78 Explanation: Using Trial and error method, we get the number of girls in the hall = 78
Q: It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ? 2199 05b5cc6cfe4d2b4197774e2ef
5b5cc6cfe4d2b4197774e2ef- 11000 (r - p) + pqfalse
- 21000 p + qrfalse
- 31000 (r - q) + prfalse
- 41000(p - q) + qrtrue
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Answer : 4. "1000(p - q) + qr"
Explanation :
Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or) The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr
Q: Which of the following chemical compounds has the highest boiling point? 2198 05b5cc6b5e4d2b4197774d52a
5b5cc6b5e4d2b4197774d52a- 1Dimethyl ether (CH3OCH3)false
- 2Methanol (CH3OH)true
- 3Methane (CH4)false
- 4Nonefalse
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Answer : 2. "Methanol (CH3OH)"
Explanation :
Answer: B) Methanol (CH3OH) Explanation: Chemical Compounds with stronger intermolecular forces have higher boiling points. The order of strengths of intermolecular forces is: London dispersion < dipole-dipole < H-bonding Methane (CH4) — London dispersion forces Dimethyl ether (CH3OCH3) — dipole-dipole attractions Methanol (CH3OH) — hydrogen bonding Therefore, Methanol - CH3OH with H-Bonding have highest Boiling Point among the given chemical compounds.
Q: Find the odd one out of the group ? 2196 05b5cc6e1e4d2b4197774ebca
5b5cc6e1e4d2b4197774ebca- 1708false
- 2392true
- 3618false
- 4816false
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Answer : 2. "392"
Explanation :
Answer: B) 392 Explanation: The sum of the digits in 708, 618 and 816 is 15, but not in 392.

