GATE Practice Question and Answer
8Q: If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ? 1725 05b5cc6d5e4d2b4197774e5d4
5b5cc6d5e4d2b4197774e5d4- 1J x J = KLfalse
- 2K x K= JLtrue
- 3L x L = JKfalse
- 4JKL = 1false
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Answer : 2. "K x K= JL"
Explanation :
Answer: B) K x K= JL Explanation: Let the Time be 'N' and Rate be 'R' J = (K x NR)/100 K = (L x NR)/100 J/K = NR/100 K/L = NR/100 J/K = K/L K x K = JL
Q: In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ? 4293 05b5cc6d4e4d2b4197774e5cf
5b5cc6d4e4d2b4197774e5cf- 1Rs. 4680true
- 2Rs. 4420false
- 3Rs. 4960false
- 4Rs. 5480false
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Answer : 1. "Rs. 4680"
Explanation :
Answer: A) Rs. 4680 Explanation: Let the expenditure on the 95 students be 'x' Then, 95x + 500 = 120(x – 5)95x + 500 = 120x - 600120x - 95x = 110025x = 1100=> x = 44 Therefore, total expenditure of the hostel becomes95 x 44 + 500 = 4680.
Q: A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ? 6734 05b5cc6d4e4d2b4197774e5ca
5b5cc6d4e4d2b4197774e5ca- 11.8 kmphfalse
- 22 kmphfalse
- 32.2 kmphfalse
- 41.5 kmphtrue
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Answer : 4. "1.5 kmph"
Explanation :
Answer: D) 1.5 kmph Explanation: Speed of Boy is B = 4.5 kmph Let the speed of the stream is S = x kmph Then speed in Down Stream = 4.5 + x speed in Up Stream = 4.5 - x As the distance is same, => 4.5 + x = (4.5 - x)2 => 4.5 + x = 9 -2x 3x = 4.5 x = 1.5 kmph
Q: Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ? 2155 05b5cc6d4e4d2b4197774e5c5
5b5cc6d4e4d2b4197774e5c5- 19850false
- 29500false
- 39620true
- 49760false
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Answer : 3. "9620"
Explanation :
Answer: C) 9620 Explanation: As the interest rate increases by 2%=> (7000x3x2)/100 = 420 9200 -------- 9620
Q: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1292 05b5cc6d4e4d2b4197774e5b1
5b5cc6d4e4d2b4197774e5b1- 132.5 hrsfalse
- 229.25 hrstrue
- 330.30 hrsfalse
- 431 hrsfalse
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Answer : 2. "29.25 hrs"
Explanation :
Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs Then, 1/9 - 1/x = 1/13 x = 29.25 hrs
Q: Missing Letter Challenge 2194 05b5cc6d3e4d2b4197774e554
5b5cc6d3e4d2b4197774e554- 1Ifalse
- 2Mfalse
- 3Pfalse
- 4Ltrue
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Answer : 4. "L"
Explanation :
Answer: D) L Explanation: Here the letters follow the rule (AxZ)+(A+Z) The number corresponding to the letters are used in the rule A=1, Z=26 => 26x1 + 1 + 26 = 26+27 = 53 = 053 (LxP)+(L+P) = (12 x16) + 12 + 16 = 192+28 = 220 Similarly (11x12) + 11 + 12 => 132 + 23 = 155
Q: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track ? 1235 05b5cc6d3e4d2b4197774e54a
5b5cc6d3e4d2b4197774e54a- 154 secfalse
- 236 sectrue
- 372 secfalse
- 411 secfalse
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Answer : 2. "36 sec"
Explanation :
Answer: B) 36 sec Explanation: Time taken to meet the first time = length of track/relative speed Given the length of the track is 600 m The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.
Q: A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ? 1632 05b5cc6d3e4d2b4197774e540
5b5cc6d3e4d2b4197774e540- 16.24 secfalse
- 26.58 secfalse
- 37.325 secfalse
- 47.65 sectrue
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Answer : 4. "7.65 sec"
Explanation :
Answer: D) 7.65 sec Explanation: Here total distance = 154 + 101 = 255 mtsGiven speed = 120 kmph = 120x5/18 m/secHence, Time = d/s = 255x18/120x5 = 7.65 sec

