IIT JEE Practice Question and Answer
8Q: How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ? 2444 05b5cc736e4d2b4197774f879
5b5cc736e4d2b4197774f879- 13false
- 25true
- 37false
- 49false
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Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: There are total 5 ways.we have only one kg of weight so,2kg = 1kg + 1kg4kg = 1 + 2 + 18kg = 1 + 2 + 4 + 116kg = 1 + 2 + 4 + 8 + 131kg = 1 + 2 + 4 + 8 + 16So 5 weights are needed.
Q: The ratio of present ages of Hema and Chinnu is 13:17. Four years ago the ratio of their ages was 11:15. What will be the ratio of their ages six years hence ? 1398 05b5cc736e4d2b4197774f86f
5b5cc736e4d2b4197774f86f- 13 : 7false
- 27 : 9false
- 34 : 5true
- 41 : 3false
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Answer : 3. "4 : 5"
Explanation :
Answer: C) 4 : 5 Explanation: Let their present ages be 13x and 17x.Then, 13x-4/17x-4 = 11/15. Solving this, we get x = 2.Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.
Q: Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.Courses of action:I. The water supply authority should impose a partial cut in supply to tackle the situation.II. The government should appeal to all the residents though mass media for minimal use of water. 2537 05b5cc736e4d2b4197774f85b
5b5cc736e4d2b4197774f85b- 1Only I followsfalse
- 2Only II followsfalse
- 3Both I & II followstrue
- 4Neither I nor II followsfalse
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Answer : 3. "Both I & II follows"
Explanation :
Answer: C) Both I & II follows Explanation: The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.
Q: Five plays P, Q, R, S and T were organised in a week from Monday to Saturday with one play each day and no play was organised on one of these days. Play S was organised before Thursday but after Monday. Play T was organised on Saturday. Play R was not organised on the first day. Play Q was organised on the next day on which play R was organised. Play P was organised on Tuesday. 1) On which day was play Q organised ? 2) On which day was no play organised ? 3) Which play was organised on Thursday ? 4420 05b5cc736e4d2b4197774f855
5b5cc736e4d2b4197774f855- Show AnswerHide Answer
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Answer :
Explanation :
Day Play Monday No playTuesday PWednesday SThursday RFriday QSaturday T Answers : From the above table : 1) On Friday play Q was organised. 2) On Monday Noplay was organised. 3) On Thursday Play R was organised.
Q: If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ? 5792 05b5cc736e4d2b4197774f856
5b5cc736e4d2b4197774f856- 10true
- 21false
- 32false
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Answer : 1. "0"
Explanation :
Answer: A) 0 Explanation: From the given information in the question24 ÷ 4 + 6 - 3 x 4 6 + 6 - 12 = 0
Q: 'BE' is related to 'GJ' in the same way as 'PS' is related to ? 1774 05b5cc736e4d2b4197774f84b
5b5cc736e4d2b4197774f84b- 1VXfalse
- 2TUfalse
- 3UXtrue
- 4TVfalse
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Answer : 3. "UX"
Explanation :
Answer: C) UX Explanation: Each corresponding letter moves five places forward in the alphabet.Here as BE is related to GJ then PS will relate to UX.
Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 1315 05b5cc736e4d2b4197774f850
5b5cc736e4d2b4197774f850- 125 : 114false
- 235 : 103true
- 315 : 108false
- 441 : 94false
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Answer : 2. "35 : 103"
Explanation :
Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.
Q: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 1257 05b5cc736e4d2b4197774f841
5b5cc736e4d2b4197774f841- 155.12 cmfalse
- 222.54 cmfalse
- 342.51 cmfalse
- 438.57 cmtrue
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Answer : 4. "38.57 cm"
Explanation :
Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.