GATE рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ
рдкреНрд░: Two men A and B start from place X walking at 4 ┬╜ kmph and 5 ┬╛ kmph respectively. How many km apart they are at the end of 3 ┬╜ hours if they are walking in the same direction ? 4129 05b5cc6eee4d2b4197774ef11
5b5cc6eee4d2b4197774ef11- 12 9/7 kmfalse
- 23 7/5 kmfalse
- 31 3/4 kmfalse
- 44 3/8 kmtrue
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "4 3/8 km"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ┬╛ - 4 ┬╜ = 1 ┬╝ Time = 3 ┬╜ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.
рдкреНрд░: Find the number of factors of 9321 ? 4111 05b5cc736e4d2b4197774f832
5b5cc736e4d2b4197774f832- 14false
- 25false
- 37false
- 48true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "8"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.
рдкреНрд░: Solve the Riddle :: Three men were on a boat that was stuck one mile from the shore. One was afraid of Sharks. The other couldn't Swim. And the last one didn't have a life jacket. However, they reached the shore without any problems. How did they do it? 4088 05b5cc69fe4d2b4197774c9dc
5b5cc69fe4d2b4197774c9dc- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
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- SingleChoice
рдЙрддреНрддрд░ :
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
They walked and did this. It was never specified that the boat was at sea. Since this logic is observed by them to tackle situation.
рдкреНрд░: A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ? 4077 05b5cc70ee4d2b4197774f33c
5b5cc70ee4d2b4197774f33c- 121false
- 211false
- 317false
- 431true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "31"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 31 Explanation: Let y be the total number of loavesa be the remaining loaves after 1st thiefb be the remaining loaves after 2nd thiefand c, d..so on after 3 and 4 the = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2)= y/2 - 1/2 b = a - (a/2 + 1/2)= a/2 - 1/2 c = b - (b/2 + 1/2)= b/2 - 1/2 d = c - (c/2 + 1/2)= c/2 - 1/2 e = d - (d/2 + 1/2)= d/2 - 1/2we know that, e = 0,thus by substitution, we getd = 1c = 3b = 7a = 15y = 31Therefore total number of bread loaves in bakery was 31.
рдкреНрд░: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ┬а? 4070 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "21 min"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.
рдкреНрд░: Find the next number in the sequence? 28, 16, 28, 76, 274 4056 05b5cc696e4d2b4197774c59f
5b5cc696e4d2b4197774c59f- 11233false
- 21243true
- 31256false
- 41276false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 2. "1243"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: B) 1243 Explanation: Given number sequence is┬а28, 16, 28, 76, 274 Here the sequence follows a pattern that 28 28 x 0.5 + 2 = 14 + 2 = 16 16 x 1.5 + 4 = 24 + 4 = 28 28 x 2.5 + 6 = 70 + 6 = 76 76 x 3.5 + 8 = 266 + 8 = 274 274 x 4.5 + 10 = 1233 + 10 = 1243 ┬а Hence, the next number in the given number sequence is 1243.
рдкреНрд░: Study of the sun is called 4055 05b5cc6a2e4d2b4197774cb60
5b5cc6a2e4d2b4197774cb60- 1Coronagraphyfalse
- 2Seismographyfalse
- 3Helioseismologytrue
- 4Heliographyfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "Helioseismology"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) Helioseismology Explanation: Helioseismology is the study of the solar interior using observations of waves on the Sun's surface. It has done much to improve our understanding of the interior of the Sun, testing the physical inputs used to model stellar interiors and providing a detailed map of the Sun's structure and internal rotation.
рдкреНрд░: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. YтАЩs salary is less than Mr. XтАЩs ? 4046 05b5cc6dce4d2b4197774e9a1
5b5cc6dce4d2b4197774e9a1- 124%false
- 223 1/3%true
- 325 1/2%false
- 422 8/9 %false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 2. "23 1/3%"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: B) 23 1/3% Explanation: y=100 x=130 130---------30100---------? => 23 1/3%

