IIT JEE Practice Question and Answer
8Q: In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines. 2162 05b5cc7d1e4d2b41977751281
5b5cc7d1e4d2b41977751281- 1525false
- 2535true
- 3545false
- 4555false
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Answer : 2. "535"
Explanation :
Answer: B) 535 Explanation: The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A. Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B. Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535
Q: Fill in the blank with an appropriate word from the following options. Usually the room tariff in this hotel is higher. At present, it is low because of the------- season. 2160 05b5cc74fe4d2b4197774faf9
5b5cc74fe4d2b4197774faf9- 1Peakfalse
- 2Offtrue
- 3Downfalse
- 4Slowfalse
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Answer : 2. "Off"
Explanation :
Answer: B) Off Explanation: Season can be either at peak or off.Presently it is low, that is because of OFF season.
Q: Which of the following is not an Input device? 2159 05b5cc6a6e4d2b4197774cd3d
5b5cc6a6e4d2b4197774cd3d- 1Joystickfalse
- 2Headphonestrue
- 3Mousefalse
- 4Scannerfalse
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Answer : 2. "Headphones"
Explanation :
Answer: B) Headphones Explanation: Here Joystick, Mouse and Scanner are Input devices through which data is given to the computers. But Headphones are output devices through which sound comes as an output from the computer or any devices.
Q: The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ? 2159 05b5cc6c6e4d2b4197774de31
5b5cc6c6e4d2b4197774de31- 137/64true
- 227/56false
- 311/13false
- 49/8false
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Answer : 1. "37/64"
Explanation :
Answer: A) 37/64 Explanation: Probability of not hitting the ball = 1- 1/4 =Then, the probability that the batsman will hit the ball =
Q: Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ? 2157 05b5cc6c2e4d2b4197774dbb4
5b5cc6c2e4d2b4197774dbb4- 160false
- 2120false
- 3360false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: For this we have to find the LCM of 24, 36 and 30 LCM of 24, 36 and 30 = 360 sec 360/60 min = 6 minutes.
Q: In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ? 2156 05b5cc72ce4d2b4197774f75a
5b5cc72ce4d2b4197774f75a- 1625false
- 2525true
- 3425false
- 4325false
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Answer : 2. "525"
Explanation :
Answer: B) 525 Explanation: Given 40% minimum passing marks for boys = 483 + 117 = 600=> 1% = 600/40 => 100% = 600 x 100/40 = 1500Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.
Q: A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 2156 05b5cc6b2e4d2b4197774d3c3
5b5cc6b2e4d2b4197774d3c3- 134 hrsfalse
- 236 hrsfalse
- 338 hrsfalse
- 440 hrstrue
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Answer : 4. "40 hrs"
Explanation :
Answer: D) 40 hrs Explanation: The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140 Therefore, the leak empties the tank in 40 hours.
Q: Q's mother is sister of P and daughter of M who is brother of R. S is daughter of P and sister of T. How is M related to T ? 2155 05b5cc73de4d2b4197774f957
5b5cc73de4d2b4197774f957- 1Grand fathertrue
- 2Grand motherfalse
- 3Grand father or Grand motherfalse
- 4Can't be determinedfalse
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Answer : 1. "Grand father"
Explanation :
Answer: A) Grand father Explanation: Q's mother is sister of P and daughter of M => P is the child of M.S is daughter of P and sister of T, so P is parent of T too.M ----> parent --------> P ------------>parent -------------> TBut given M is brother of R => M is male. So, M is grandfather of T.