IIT JEE Practice Question and Answer
8Q: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? 1299 05b5cc705e4d2b4197774f253
5b5cc705e4d2b4197774f253- 123true
- 2432false
- 322false
- 4431false
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Answer : 1. "23"
Explanation :
Answer: A) 23 Explanation: As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used. C19+C18+C16 = 23 will be answer.
Q: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ? 1750 05b5cc705e4d2b4197774f24e
5b5cc705e4d2b4197774f24e- 133 yrsfalse
- 234 yrstrue
- 335 yrsfalse
- 436 yrsfalse
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Answer : 2. "34 yrs"
Explanation :
Answer: B) 34 yrs Explanation: Total age of players in team = 22 x 11 = 242When coach is included, total members = 12, Avg age increases by one becomes 23Total age when coach is included = 23x12 = 276Age of coach = 276-242 = 34 yrs.
Q: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? 2497 05b5cc705e4d2b4197774f244
5b5cc705e4d2b4197774f244- 136 kmphfalse
- 235 kmphfalse
- 372 kmphfalse
- 470 kmphtrue
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Answer : 4. "70 kmph"
Explanation :
Answer: D) 70 kmph Explanation: By car 240 km at 60 kmphTime taken = 240/60 = 4 hr. By train 240 km at 60 kmphTime taken = 400/100 = 4 hr. By bus 240 km at 60 kmphTime taken = 200/50 = 4 hr. So total time = 4 + 4 + 4 = 12 hr. and total speed = 240+400+200 = 840 kmAverage speed of the whole journey = 840/12 = 70 kmph.
Q: What is the third most common gas found in the air we breathe ? 1010 05b5cc705e4d2b4197774f23f
5b5cc705e4d2b4197774f23f- 1Argontrue
- 2Neonfalse
- 3Carbondioxidefalse
- 4Hydrogenfalse
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Answer : 1. "Argon"
Explanation :
Answer: A) Argon Explanation: The most common gas people breathe from clean air is nitrogen. Air is a mixture of gases, and the air on Earth contains about 78 percent nitrogen and about 21 percent oxygen. Argon, carbon dioxide neon, helium, methane, krypton, hydrogen and xenon are in much smaller amounts.
Q: Name the Asian country that has 1st time turned around from a Net importer of electricity to Net Exporter of electricity, as per Central Electricity Authority of the country. 1157 05b5cc705e4d2b4197774f230
5b5cc705e4d2b4197774f230- 1Indiatrue
- 2Bangladeshfalse
- 3Myanmarfalse
- 4Pakistanfalse
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Answer : 1. "India"
Explanation :
Answer: A) India Explanation: As per Central Electricity Authority, the Designated Authority of Government of India for Cross Border Trade of Electricity, 1st time 'India' has turned around from a net importer of electricity to Net Exporter of electricity.
Q: About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ? 1152 05b5cc705e4d2b4197774f220
5b5cc705e4d2b4197774f220- 140false
- 245false
- 332true
- 430false
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Answer : 3. "32"
Explanation :
Answer: C) 32 Explanation: Probability of left handed = 4/5total student = 40total left handed = 40 x(4/5)= 32
Q: What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7. 1389 05b5cc705e4d2b4197774f21b
5b5cc705e4d2b4197774f21b- 1Only a is sufficienttrue
- 2Only b is sufficientfalse
- 3Both a & b are necessaryfalse
- 4Nonefalse
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Answer : 1. "Only a is sufficient"
Explanation :
Answer: A) Only a is sufficient Explanation: The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116 again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st termso the 1st term is 4,but from the 2nd we cant able to find the 1st term so only 1st statement is sufficient to answer the question
Q: A duster is of dimension 5x5x7 all in cms, is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ? 1114 05b5cc705e4d2b4197774f216
5b5cc705e4d2b4197774f216- 196 %false
- 24 %true
- 397 %false
- 43 %false
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Answer : 2. "4 %"
Explanation :
Answer: B) 4 % Explanation: Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer= volume of water increased= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%