IIT JEE Practice Question and Answer
8Q: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ? 1371 05b5cc6dfe4d2b4197774eac1
5b5cc6dfe4d2b4197774eac1- 11 : 2false
- 23 : 1false
- 34 : 7false
- 43 : 2true
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Answer : 4. "3 : 2"
Explanation :
Answer: D) 3 : 2 Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 => 27 x + 17 y = 23 x + 23 y => 4 x = 6 y => x/y = 3/2.
Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1707 05b5cc6dfe4d2b4197774eabc
5b5cc6dfe4d2b4197774eabc- 15true
- 24false
- 37false
- 46false
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5
Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4215 05b5cc6dfe4d2b4197774eab7
5b5cc6dfe4d2b4197774eab7- 13 km/hrfalse
- 24 km/hrtrue
- 35 km/hrfalse
- 46 km/hrfalse
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Answer : 2. "4 km/hr"
Explanation :
Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr. So, 24/x + 24/(7 - x) = 14 x2 - 98x + 168 = 0 (x - 3)(x - 4) = 0 => x = 3 or 4. Since, P is faster than Q, so P's speed = 4 km/hr and Q's speed = 3 km/hr.
Q: When 0.46 is written in simplest form, the sum of the numerator and the denominator is ? 2116 05b5cc6dee4d2b4197774ea9e
5b5cc6dee4d2b4197774ea9e- 169false
- 273true
- 396false
- 441false
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Answer : 2. "73"
Explanation :
Answer: B) 73 Explanation: 0.46 = 46/100 = 23/50. Sum of the numerator and denominator is 23 + 50 = 73
Q: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ? 1691 05b5cc6dee4d2b4197774ea99
5b5cc6dee4d2b4197774ea99- 19 daysfalse
- 211 daysfalse
- 313 daystrue
- 415 daysfalse
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Answer : 3. "13 days"
Explanation :
Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x => x = ( 23 x 13/10 ) => x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.
Q: The second day of a month is Sunday, What will be the last day of the next month which has 31 days ? 6950 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: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ? 1780 05b5cc6dee4d2b4197774ea8f
5b5cc6dee4d2b4197774ea8f- 1Rs. 28,000true
- 2Rs. 18,000false
- 3Rs. 14,000false
- 4Rs. 8,000false
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Answer : 1. "Rs. 28,000"
Explanation :
Answer: A) Rs. 28,000 Explanation: Investments ratio is = 3:1Time period ratio is = 2:1 As they are proportional to gain ------Gain ratio of Vishal and raghu = 6:1 But given Raghu got Rs. 4000, =? 1 ----- 4000 7 ----- ? => Rs.28,000 The total gain = Rs.28,000
Q: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1253 05b5cc6dee4d2b4197774ea85
5b5cc6dee4d2b4197774ea85- 113 daysfalse
- 210 daysfalse
- 37 daystrue
- 416 daysfalse
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Answer : 3. "7 days"
Explanation :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

