IIT JEE Practice Question and Answer
8Q: In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ? 5072 05b5cc705e4d2b4197774f1f3
5b5cc705e4d2b4197774f1f3- 19false
- 217true
- 311false
- 415false
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Answer : 2. "17"
Explanation :
Answer: B) 17 Explanation: Total student= 39, boys : girls = 2:1, hence no of boys= 2/3(39)= 26num of girls= 1/3(39) = 13 , since radhika ranked 15 among 39 student from topand ranked 8 among girls from bottom , this means 7 girls are below radhika, rest 13-9= 5 girls are above her, now from 14 toper 5 are girls hence 14-5=9 boys.Hence num of boys below radhika are 26-9=17
Q: Early morning after sunrise, Karthik was standing infront of his house in such a way that his shadow was falling exactly behind him. He starts walking straight and walks 5 metres. He turns to his left and walks 3 metres and again turning to his left walks 2 metres. Now in which direction is he from his starting point? 5060 05b5cc705e4d2b4197774f211
5b5cc705e4d2b4197774f211- 1Westfalse
- 2North-Easttrue
- 3Eastfalse
- 4South-Westfalse
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Answer : 2. "North-East"
Explanation :
Answer: B) North-East Explanation: Early morning suns rise at east, if his shadow falls exactly behind him that means he is facing towards east. now he walks 5mt towards east, then he turns left that means he facing towards north and walk 3mt and if he turn left then he is facing towards west and he walk only 3 kms thats why man is in north east direction from starting point.
Q: The product of a number and its multiplicative inverse is 5039 05b5cc64de4d2b4197774bc70
5b5cc64de4d2b4197774bc70- 11true
- 20false
- 3-1false
- 4Infinityfalse
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Answer : 1. "1"
Explanation :
Answer: A) 1 Explanation: The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1. For example : Let the number be 15 Multiplicative inverse of 15 = 1/15 The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
Q: If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ? 5028 05b5cc71be4d2b4197774f512
5b5cc71be4d2b4197774f512- 1South-Easttrue
- 2North-Westfalse
- 3Eastfalse
- 4Westfalse
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Answer : 1. "South-East"
Explanation :
Answer: A) South-East Explanation: P % Q + R - S=> P is to the East of Q, who is to the North of R, who is to the West of S.=> Q.....P R.....S=> With respect to Q, S is to the South-East of Q.
Q: " Hopman cup " is related to which sports ? 5027 05b5cc6d6e4d2b4197774e689
5b5cc6d6e4d2b4197774e689- 1Cricketfalse
- 2Badmintonfalse
- 3Lawn Tennistrue
- 4Footballfalse
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Answer : 3. "Lawn Tennis"
Explanation :
Answer: C) Lawn Tennis Explanation: Law Tennis Hopman cup is a hard-court tennis tournament held every year in Australia. Teams from different countries participates in the tournament.
Q: A hater of knowledge and learning is 5014 05b5cc6ace4d2b4197774d082
5b5cc6ace4d2b4197774d082- 1Philologistfalse
- 2Misologisttrue
- 3Bibliophilefalse
- 4Misogynistfalse
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Answer : 2. "Misologist"
Explanation :
Answer: B) Misologist Explanation: The one word substitution for a hater of knowledge and learning is Misologist.
Q: Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when working alone. Amit and Bharath both started the work together but Bharath left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together? 5011 05b5cc7d0e4d2b419777511db
5b5cc7d0e4d2b419777511db- 16false
- 28true
- 39false
- 412false
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Answer : 2. "8"
Explanation :
Answer: B) 8 Explanation: AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140) Amit did the work in 56 days = 56×145×2=2845 Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days ( since Amit and Bharath do the work in one day = 145+140=17360)
Q: Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ? 4977 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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Answer : 2. "26.166 minutes"
Explanation :
Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.