IIT JEE Practice Question and Answer
8Q: What is the difference between the local values of 3 in the number 43403 ? 7140 05b5cc6d3e4d2b4197774e518
5b5cc6d3e4d2b4197774e518- 10false
- 23030false
- 33003false
- 42997true
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Answer : 4. "2997"
Explanation :
Answer: D) 2997 Explanation: 3000 – 3 = 2997
Q: In which atmospheric layer are the communication satellites located? 7089 05b5cc642e4d2b4197774bb6d
5b5cc642e4d2b4197774bb6d- 1Thermospheretrue
- 2Tropospherefalse
- 3Mesospherefalse
- 4Stratospherefalse
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Answer : 1. "Thermosphere"
Explanation :
Answer: A) Thermosphere Explanation: In terms of the Earth's atmosphere, they occupy regions called the thermosphere and the exosphere. The layer through which a satellite orbits depends on the satellite's function and the kind of orbit it has. The thermosphere is a region of very high temperature that extends from the top of the mesosphere at around 85 kilometers (53 miles) up to 640 kilometers (400 miles) above the Earth's surface. It is called the thermosphere because temperatures can reach up to 1,500 degrees Celsius (2,732 degrees Fahrenheit). However, despite the high temperatures, the pressure is very low, so satellites don't suffer heat damage.
Q: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7043 25b5cc7d0e4d2b419777511ff
5b5cc7d0e4d2b419777511ff- 1p < qfalse
- 2p = qfalse
- 3p > qtrue
- 4can't be determinedfalse
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Answer : 3. "p > q"
Explanation :
Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and k > l Let k = x+1 and l = x Therefore, x+1x>(x+1)+1(x)+1 (x + 1) > x Therefore, log(x+1)log(x)>log(x+2)log(x+1) ⇒logxx+1 >logx+1x+2
Q: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ? 6991 05b5cc6ebe4d2b4197774eeb4
5b5cc6ebe4d2b4197774eeb4- 1360 litfalse
- 2480 littrue
- 3320 litfalse
- 4420 litfalse
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Answer : 2. "480 lit"
Explanation :
Answer: B) 480 lit Explanation: 1/k - 1/20 = -1/24 k = 120 120 x 4 = 480 Therefore, the capacity of the cistern is 480 liters.
Q: 45% of 750 - 25% of 480 = ? 6982 05b5cc6dde4d2b4197774e9d8
5b5cc6dde4d2b4197774e9d8- 1337.50false
- 2217.50true
- 3376.21false
- 4120false
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Answer : 2. "217.50"
Explanation :
Answer: B) 217.50 Explanation: Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50
Q: In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin? 6947 05b5cc60de4d2b4197774b618
5b5cc60de4d2b4197774b618- 14/7false
- 22/3true
- 31/2false
- 45/6false
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Answer : 2. "2/3"
Explanation :
Answer: B) 2/3 Explanation: Total coins 30 In that, 1 rupee coins 20 50 paise coins 10Probability of total 1 rupee coins = 20C11 Probability that 11 coins are picked = 30C11 Required probability of a coin now picked from the box is 1 rupee = 20C11/30C11 = 2/3.
Q: Which is the next number in the sequence: 1, 3, 6, 11, 20, 37, ?? 6915 05b5cc699e4d2b4197774c6fb
5b5cc699e4d2b4197774c6fb- 149false
- 256false
- 364false
- 470true
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Answer : 4. "70"
Explanation :
Answer: D) 70 Explanation: Here the given series is 1, 3, 6, 11, 20, 37, ??, and the logic behind the series is 1 x 2 + 1 = 3 3 x 2 + 0 = 6 6 x 2 + (-1) = 11 11 x 2 + (-2) = 20 20 x 2 + (-3) = 37 37 x 2 + (-4) = 70 Hence, the next number in the given series is 70.
Q: How did the Interstate Commerce Act of 1887 help farmers? 6911 05b5cc642e4d2b4197774bb5d
5b5cc642e4d2b4197774bb5d- 1It took government payments to railroads and gave them to farmers.false
- 2It gave farmers shares in the largest railroad companies.false
- 3It prevented railroads from charging farmers more than other customers.true
- 4It forced railroads to build lines to the largest farming areas.false
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Answer : 3. "It prevented railroads from charging farmers more than other customers."
Explanation :
Answer: C) It prevented railroads from charging farmers more than other customers. Explanation: In 1887 Congress passed the Interstate Commerce Act, making the railroads the first industry subject to Federal regulation. Congress passed the law largely in response to public demand that railroad operations be regulated. Railroads discriminated in the prices they charged to passengers and shippers in different localities by providing rebates to large shippers or buyers. These practices were especially harmful to American farmers, who lacked the shipment volume necessary to obtain more favorable rates.