IIT JEE Practice Question and Answer
8Q: 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 ? 6866 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 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 ? 6861 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: Find the missing number? 15, 30, ? , 40, 8, 48 6817 05b5cc6afe4d2b4197774d264
5b5cc6afe4d2b4197774d264- 121false
- 28false
- 319false
- 410true
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Answer : 4. "10"
Explanation :
Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48 Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.
Q: Which two months in a year have the same calendar? 6783 05b5cc694e4d2b4197774c498
5b5cc694e4d2b4197774c498- 1October, Decemberfalse
- 2April, Novemberfalse
- 3June, Octoberfalse
- 4April, Julytrue
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Answer : 4. "April, July"
Explanation :
Answer: D) April, July Explanation: If the period between the two months is divisible by 7, then that two months will have the same calender . Now,(a). October + November = 31 + 30 = 61 (not divisible by 7) (b). Apr. + May + June + July + Aug. + Sep. + Oct. = 30 + 31 + 30 + 31 + 31 +30 + 31 = 213 (not divisible by 7) (c). June + July + Aug. + Sep. = 30 + 31 + 31 + 30 = 122 (not divisible by 7) (d). Apr. + May + June = 30 + 31 + 30 = 91 (divisible by 7) Hence, April and July months will have the same calendar.
Q: A group of six cousins are sitting around a hexagonal table, each one at one corner of the hexagon. (facing the centre inside) Raju is sitting opposite to Rohan. Sweety is sitting next to Navya. Aadya is sitting opposite to Navya, but not next to Kalyan. Karthik has a person sitting between Rohan and himself. If Sweety sits to the right of Karthik, then who is sitting to the left of Karthik ? 6735 05b5cc74fe4d2b4197774fb53
5b5cc74fe4d2b4197774fb53- 1Aadyafalse
- 2Kalyanfalse
- 3Rajutrue
- 4Rohanfalse
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Answer : 3. "Raju"
Explanation :
Answer: C) Raju Explanation: Suppose Sweety is sitting between Rohan and Karthik such that she is to the right of him.....then as Raju is opposite to Rohan then Raju must be to the left of Karthik.
Q: The second day of a month is Sunday, What will be the last day of the next month which has 31 days ? 6721 05b5cc6dee4d2b4197774ea94
5b5cc6dee4d2b4197774ea94- 1Fridayfalse
- 2Saturdayfalse
- 3Sundayfalse
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined Explanation: We cannot find out the answer because the number of days of the current month is not given.
Q: Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ? 6714 05b5cc6fee4d2b4197774f116
5b5cc6fee4d2b4197774f116- 13 kmfalse
- 22 kmfalse
- 31 kmtrue
- 46 kmfalse
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Answer : 3. "1 km"
Explanation :
Answer: C) 1 km Explanation:
Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6692 15b5cc6e9e4d2b4197774ee41
5b5cc6e9e4d2b4197774ee41- 1180 kmtrue
- 2160 kmfalse
- 3140 kmfalse
- 4120 kmfalse
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Answer : 1. "180 km"
Explanation :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.