IIT JEE Practice Question and Answer
8Q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days? 3371 05b5cc7bbe4d2b419777509be
5b5cc7bbe4d2b419777509be- 1710 acresfalse
- 2760 acresfalse
- 3810 acrestrue
- 4860 acresfalse
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Answer : 3. "810 acres"
Explanation :
Answer: C) 810 acres Explanation: 12 men120 acres36 days54 men?54 days As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped. Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres
Q: CK169JROS2419TXKM??PV 1732 05b5cc7b9e4d2b4197775097d
5b5cc7b9e4d2b4197775097d- 114,21false
- 221,14true
- 356,84false
- 484,56false
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Answer : 2. "21,14"
Explanation :
Answer: B) 21,14 Explanation: Putting A=1, B=2, C=3,..., M=13,....,X=24,Y=25, Z=26, we have : JR = J + R2 + 2 = 10 + 18 2 + 2 = 16 CK = C + K2 + 2 = 3 + 112 + 2 = 9 TX = T + X2+ 2 = 20 + 242 + 2 = 24 OS = O + S2 + 2 = 15 + 192 + 2 = 19 So, the missing numbers are : 21 and 14 Hence, the answer is (b).
Q: If A + B = 2C and C + D = 2A, then 5622 05b5cc7b9e4d2b4197775096e
5b5cc7b9e4d2b4197775096e- 1A + C = B + Dtrue
- 2A + C = 2Dfalse
- 3A + D = B + Cfalse
- 4A + C = 2Bfalse
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Answer : 1. "A + C = B + D"
Explanation :
Answer: A) A + C = B + D Explanation: Given, A + B = 2C ----(i) C + D = 2A----(ii) Adding (i) and (ii) we get : A + B + C + D = 2C + 2A => B + D = A + C
Q: Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction.Further he takes a left turn and walks 300 yards.In Which direction is Sumanth now from his original position? 1692 05b5cc7b9e4d2b41977750941
5b5cc7b9e4d2b41977750941- 1South-Eastfalse
- 2North-Easttrue
- 3South-Westfalse
- 4North-Westfalse
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Answer : 2. "North-East"
Explanation :
Answer: B) North-East Explanation: Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet) N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900 Thus, the direction from his original position is North-East.
Q: A boat loaded with rocks floats in the middle of a swimming pool. A man in the boat throws the rocks overboard. The level of water in the pool will 1220 05b5cc7b6e4d2b41977750914
5b5cc7b6e4d2b41977750914- 1increasefalse
- 2decreasetrue
- 3remains the samefalse
- 4first decrease and then increasefalse
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Answer : 2. "decrease"
Explanation :
Answer: B) decrease Explanation: Let M and m grams be the mass of boat + rock in it. By law of floatation(M+m) grams of water will be displaced. This has a volume of (M+m)cc. That means the level of water in pool has risen up by (M+m)cc with the boat + rock when it is floating. If the rocks in the boat are thrown not into the pool but outside, the weight left is only M grams the weight of the boat. This will have displaced M cc of water only i.e less water than in the case of loaded boat. But if the rocks are put in the water in the pool and not outside, then the water in the pool will rise not only by M cc on account of empty boat but also by a volume of the stone put into it. This volume will be mdwhere m is the mass of rock and d density of rock. Now md is < m. Thus the total rise will be M+mdwhich is < M + m.
Q: At what temperature do the Fahrenheit and celcius scales give the same reading? 1417 05b5cc7b6e4d2b4197775090a
5b5cc7b6e4d2b4197775090a- 1212 degreesfalse
- 232 degreeesfalse
- 3-40 degreeestrue
- 40 degreeesfalse
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Answer : 3. "-40 degreees"
Explanation :
Answer: C) -40 degreees Explanation: We want the temperature when F=C. We know that, F = C x 95 + 32 So substituting C For F, we have C = -40o Therefore, C = -40. Thus when C = -40, we have C = F
Q: Fish and other aquatic creatures can live inside a deep frozen pond because 2306 05b5cc7b6e4d2b41977750905
5b5cc7b6e4d2b41977750905- 1fish are cold-blooded animalsfalse
- 2ice is a bad conductor of heatfalse
- 3there will always be water just beneath the ice leveltrue
- 4they can adapt themselves to live in icefalse
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Answer : 3. "there will always be water just beneath the ice level"
Explanation :
Answer: C) there will always be water just beneath the ice level Explanation: Water has the maximum density at 4oC. So at this temperature, it sinks down to bottom and stays here. If it cools further, it will become less dense and move up. So while the upper layers can cool enough to form ice, the bottom layers remain as water at 4oC . Therefore, (C) is correct.
Q: In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is 955 05b5cc7b4e4d2b419777508ab
5b5cc7b4e4d2b419777508ab- 120false
- 2160false
- 3164true
- 4220false
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Answer : 3. "164"
Explanation :
Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear. If all these 8 points are different we get 8C3 triangles as they are collinear. In 12C3 triangles, we do not get 8C3 triangles Therefore, The number of triangles we get = 12C3-8C3 = 164