GATE Practice Question and Answer
8Q: Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik. Question:Who is the youngest ? 3527 05b5cc771e4d2b4197774ffee
5b5cc771e4d2b4197774ffee- 1Veerufalse
- 2Karthiktrue
- 3Vishalfalse
- 4Raghufalse
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Answer : 2. "Karthik"
Explanation :
Answer: B) Karthik Explanation: Let Priyatham's age = x Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4 So, the descending order of ages is : Veeru > Vishal > Priyatham > Raghu > Karthik Therefore, Karthik is the youngest.
Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3523 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.
Q: When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ? 3520 05b5cc6c2e4d2b4197774dbc3
5b5cc6c2e4d2b4197774dbc3- 116false
- 215true
- 317false
- 414false
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Answer : 2. "15"
Explanation :
Answer: B) 15 Explanation: Given when she sells at Rs. 160 for 20 articles, she get 40% loss. Then, to get 20% profit selling at Rs. 240 for let 'P' articles => 1602060=240p120 => 120 x 160 x P = 20 x 70 x 240 => P = 15 articles.
Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3509 05b5cc72ce4d2b4197774f783
5b5cc72ce4d2b4197774f783- 1Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840true
- 2Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840false
- 3Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840false
- 4Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940false
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :
Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3508 05b5cc74ae4d2b4197774fa90
5b5cc74ae4d2b4197774fa90- 1142false
- 2175false
- 3212false
- 4253true
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Answer : 4. "253"
Explanation :
Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.
Q: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3507 05b5cc75ee4d2b4197774fcc5
5b5cc75ee4d2b4197774fcc5- 13 minutesfalse
- 22 minutesfalse
- 34 minutesfalse
- 45 minutestrue
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Answer : 4. "5 minutes"
Explanation :
Answer: D) 5 minutes Explanation: Let the total capacity of tank be 90 liters.Capacity of tank filled in 1 minute by K = 3 liters.Capacity of tank filled in 1 minute by L = 15 liters.Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.
Q: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.SCD, TEF, UGH, ____, WKL 3505 05b5cc720e4d2b4197774f609
5b5cc720e4d2b4197774f609- 1UJIfalse
- 2VIJtrue
- 3XLMfalse
- 4DOPfalse
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Answer : 2. "VIJ"
Explanation :
Answer: B) VIJ Explanation: First letter series S,T,U,Vsecond and third letter series CD,EF,GH,IJ...so answer = VIJ
Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 3501 05b5cc6c3e4d2b4197774dc63
5b5cc6c3e4d2b4197774dc63- 14 hrs 10 minfalse
- 23 hrs 15 minfalse
- 33 hrs 30 mintrue
- 44 hrs 1 minfalse
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Answer : 3. "3 hrs 30 min"
Explanation :
Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.

