IIT JEE Practice Question and Answer
8Q: 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 ? 2994 05b5cc75ee4d2b4197774fcc5
5b5cc75ee4d2b4197774fcc5- 13 minutesfalse
- 22 minutesfalse
- 34 minutesfalse
- 45 minutestrue
- Show Answer
- Workspace
- SingleChoice
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: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 2987 05b5cc6ebe4d2b4197774ee6e
5b5cc6ebe4d2b4197774ee6e- 16false
- 28false
- 34true
- 45false
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.
Q: Which statement about greek sculpture is false? 2986 05b5cc639e4d2b4197774ba6c
5b5cc639e4d2b4197774ba6c- 1The Greeks admired the strength and precision of athletes and wanted to portray athletic figures.false
- 2The three main principles of Greek aesthetics are proportion, movement, and rhythm.false
- 3Greeks sculptures are typically stiffly posed, highly styled figures.true
- 4All the abovefalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "Greeks sculptures are typically stiffly posed, highly styled figures."
Explanation :
Answer: C) Greeks sculptures are typically stiffly posed, highly styled figures. Explanation: Greek Sculpture are typically stiff, posed & highly styled figures is the false answer.
Q: __________ cookies are also known as transient cookies. 2985 55b5cc6c4e4d2b4197774dc95
5b5cc6c4e4d2b4197774dc95- 1Persistentfalse
- 2Second partyfalse
- 3Sessiontrue
- 4Third partyfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "Session"
Explanation :
Answer: C) Session Explanation:
Q: In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ? 2985 05b5cc75ee4d2b4197774fcf8
5b5cc75ee4d2b4197774fcf8- 1TZTSTUNfalse
- 2TZTSTNFtrue
- 3TZTUTNFfalse
- 4TZTNTFSfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "TZTSTNF"
Explanation :
Answer: B) TZTSTNF Explanation: ARC -> CRA ->(+1) DSB H -> H ->(-1) GIVE -> EVI ->(+1) FWJ Similarly, SYS -> SYS ->(+1) TZT T -> T ->(-1) SEMS -> SME ->(+1) TNF
Q: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ? 2984 05b5cc71ee4d2b4197774f572
5b5cc71ee4d2b4197774f572- 148true
- 241false
- 345false
- 443false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "48"
Explanation :
Answer: A) 48 Explanation: 3X + 4y = 240by substitute through options 48 is correct
Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 2983 05b5cc73ae4d2b4197774f8c9
5b5cc73ae4d2b4197774f8c9- 1193 : 122true
- 297 : 102false
- 3115 : 201false
- 4147 : 185false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "193 : 122"
Explanation :
Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7 Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15 Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4) i.e (35,70), (42,63), (45,60) So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193 But in the question asked the ratio of water to milk = 193 : 122
Q: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 2981 05b5cc741e4d2b4197774f981
5b5cc741e4d2b4197774f981- 184 yearstrue
- 272 yearsfalse
- 382 yearsfalse
- 464 yearsfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "84 years"
Explanation :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84