IIT JEE Practice Question and Answer
8Q: what is the missing number in the sequence given below? 12 9 13.50 30.37 ? 341.71 6811 05b5cc6b2e4d2b4197774d3a9
5b5cc6b2e4d2b4197774d3a9- 187.63false
- 291.12true
- 393.41false
- 497.94false
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Answer : 2. "91.12"
Explanation :
Answer: B) 91.12 Explanation: Given number series is 12 9 13.5 30.3 ? 341.7 Here the pattern followed by the series is 12 12 x 0.75 = 9 9 x 1.5 = 13.5 13.5 x 2.25 = 30.3 30.37 x 3 = 91.12 91.12 x 3.75 = 341.71 Hence, the missing number in the sequence is 91.12.
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 ? 6792 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: What is the difference between the local values of 3 in the number 43403 ? 6706 05b5cc6d3e4d2b4197774e518
5b5cc6d3e4d2b4197774e518- 10false
- 23030false
- 33003false
- 42997true
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Answer : 4. "2997"
Explanation :
Answer: D) 2997 Explanation: 3000 – 3 = 2997
Q: 45% of 750 - 25% of 480 = ? 6689 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: How did the Interstate Commerce Act of 1887 help farmers? 6640 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.
Q: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? 6609 05b5cc6e3e4d2b4197774ec98
5b5cc6e3e4d2b4197774ec98- 16/7false
- 219/21false
- 37/31false
- 45/21true
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Answer : 4. "5/21"
Explanation :
Answer: D) 5/21 Explanation: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅= (10 x 6)/252 = 5/21
Q: In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ? 6595 05b5cc718e4d2b4197774f4d6
5b5cc718e4d2b4197774f4d6- 121false
- 222false
- 323true
- 424false
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Answer : 3. "23"
Explanation :
Answer: C) 23 Explanation: Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages. Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3 Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12 Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5 Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20 Number of persons who can speak two languages = 2 Number of person who an speak all the languages = 1 Total number of persons = 23.
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? 6574 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.