IIT JEE Practice Question and Answer
8Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3742 05b5cc6dce4d2b4197774e979
5b5cc6dce4d2b4197774e979- 112 & 7true
- 213 & 8false
- 315 & 10false
- 414 & 9false
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Answer : 1. "12 & 7"
Explanation :
Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7
Q: Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ? 1587 05b5cc6dce4d2b4197774e96f
5b5cc6dce4d2b4197774e96f- 110.769 %true
- 211.23 %false
- 310.4 %false
- 49.87 %false
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Answer : 1. "10.769 %"
Explanation :
Answer: A) 10.769 % Explanation: I II III 65 58 100 65 -------- 7100 ------ ? => 10.769%
Q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ? 1577 05b5cc6dce4d2b4197774e974
5b5cc6dce4d2b4197774e974- 117false
- 219false
- 313true
- 411false
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Answer : 3. "13"
Explanation :
Answer: C) 13 Explanation: (385/1001) = 5/13 First Number is 5 => Fourth number is 13
Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1220 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
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Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.
Q: A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ? 1376 05b5cc6dce4d2b4197774e965
5b5cc6dce4d2b4197774e965- 128 kmphfalse
- 224 kmphtrue
- 326 kmphfalse
- 432 kmphfalse
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Answer : 2. "24 kmph"
Explanation :
Answer: B) 24 kmph Explanation: Total time taken = k/40 + 2k/20 hours = 5k/40 = k/8 hours Average speed = 3k/(k/8) = 24 kmph.
Q: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 3056 05b5cc6dce4d2b4197774e960
5b5cc6dce4d2b4197774e960- 15:3false
- 21:4false
- 34:1false
- 49:1true
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Answer : 4. "9:1"
Explanation :
Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters 10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters. The ratio of milk and water in the new mixture = 16:4 = 4:1 If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters. Amount of water removed = 2 liters. Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters. Now 10 lts milk is added => total milk = 18 lts The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
Q: The boring of India’s first underwater rail tunnel has completed under which river ? 1498 05b5cc6dce4d2b4197774e95b
5b5cc6dce4d2b4197774e95b- 1Hooghly Rivertrue
- 2Kaveri Riverfalse
- 3Godavari Riverfalse
- 4Krishna Riverfalse
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Answer : 1. "Hooghly River"
Explanation :
Answer: A) Hooghly River Explanation: The boring of India’s first underwater rail tunnel under the Hooghly River for establishing metro link between Howrah and Kolkata has completed before its scheduled deadline of July 2017. The tunnel is 16.6 km long, out of which 10.8 km runs under the ground. Of this 10.8 km, 502 metres is under the water and the whole thing connects Howrah to the west and Salt lake to the east. It will have 12 stations and six will be underground. Estimated cost of the entire project is $750 million or about Rs 5,000 crores. The final commissioning of the project is expected by December 2019, following which it will be operational. The project is built by Afcons Transtonnelstroy and implemented by Kolkata Metro Railway Corporation Ltd (KMRCL).
Q: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ? 2119 05b5cc6dbe4d2b4197774e955
5b5cc6dbe4d2b4197774e955- 1x > y < zfalse
- 2x < y < zfalse
- 3x > y > zfalse
- 4z < x < ytrue
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Answer : 4. "z < x < y"
Explanation :
Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.

