IIT JEE Practice Question and Answer
8Q: 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 ? 6946 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.
Q: What has a spine but no bones? 6942 05b5cc672e4d2b4197774c0be
5b5cc672e4d2b4197774c0be- 1Mirrorfalse
- 2Booktrue
- 3Tablefalse
- 4None of the abovefalse
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Answer : 2. "Book"
Explanation :
Answer: B) Book Explanation: A book has a spine to hold all the pages, but it has no bones.
Q: Find the next number in te given series ? 5, 25, 61, 113, ... 6913 05b5cc718e4d2b4197774f4d1
5b5cc718e4d2b4197774f4d1- 1142false
- 2181true
- 3156false
- 4179false
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Answer : 2. "181"
Explanation :
Answer: B) 181 Explanation: Here the series follow the rule that 12+22 = 5 32+42 = 2552+62 = 61 72+82 = 113 SO NEXT IS, 92+102 = 181
Q: A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ? 6909 05b5cc6d4e4d2b4197774e5ca
5b5cc6d4e4d2b4197774e5ca- 11.8 kmphfalse
- 22 kmphfalse
- 32.2 kmphfalse
- 41.5 kmphtrue
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Answer : 4. "1.5 kmph"
Explanation :
Answer: D) 1.5 kmph Explanation: Speed of Boy is B = 4.5 kmph Let the speed of the stream is S = x kmph Then speed in Down Stream = 4.5 + x speed in Up Stream = 4.5 - x As the distance is same, => 4.5 + x = (4.5 - x)2 => 4.5 + x = 9 -2x 3x = 4.5 x = 1.5 kmph
Q: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order? 6894 05b5cc7f2e4d2b41977751e93
5b5cc7f2e4d2b41977751e93- 1Nonefalse
- 2Onefalse
- 3Twofalse
- 4Threetrue
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Answer : 4. "Three"
Explanation :
Answer: D) Three Explanation: Given Number: 4 2 1 5 7 9 3 6 8 Ascending order: 1 2 3 4 5 6 7 8 9 Hence the required pairs are 12, 49, 16
Q: Which Crop is Sown on the Largest Area in India? 6894 05b5cc6b5e4d2b4197774d55e
5b5cc6b5e4d2b4197774d55e- 1Wheatfalse
- 2Barleyfalse
- 3Ricetrue
- 4Maizefalse
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Answer : 3. "Rice"
Explanation :
Answer: C) Rice Explanation: India is the second largest producer of Rice in the World. Rice is the most cultivated crop in India. According to 2002-2003 census, about 33 million hectares of area in India was cultivated with Rice.
Q: If HAT is coded as 'jcv' then what will GUN be coded as? 6893 05b5cc6bde4d2b4197774d915
5b5cc6bde4d2b4197774d915- 1iwptrue
- 2IKMfalse
- 3kipfalse
- 4Klpfalse
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Answer : 1. "iwp"
Explanation :
Answer: A) iwp Explanation: Here HAT is coded as jcv => Leaving a letter in between i.e, after H leave i write j in small letters In the same way, A => c, T => v Similarly for GUN => iwp
Q: A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ? 6892 05b5cc75ee4d2b4197774fc93
5b5cc75ee4d2b4197774fc93- 1Rs.37,500true
- 2Rs.36,400false
- 3Rs.37,415false
- 4Rs.36,500false
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Answer : 1. "Rs.37,500"
Explanation :
Answer: A) Rs.37,500 Explanation: Assume A be the cost price. Therefore,35×A×10100 - 25×A×5100 = 1500 => A = Rs 37,500.