IIT JEE Practice Question and Answer
8Q: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1082 05b5cc764e4d2b4197774fd99
5b5cc764e4d2b4197774fd99- 1107 kmphfalse
- 2106 kmphtrue
- 372 kmphfalse
- 476 kmphfalse
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Answer : 2. "106 kmph"
Explanation :
Answer: B) 106 kmph Explanation: As we know that Speed = Distance / Timefor average speed = Total Distance / Total Time TakenThus, Total Distance = 325 + 470 = 795 kmThus, Total Speed = 7.5 hrsAverage Speed = 795/7.5 => 106 kmph.
Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 1820 05b5cc764e4d2b4197774fd8a
5b5cc764e4d2b4197774fd8a- 14314false
- 24213true
- 32413false
- 43414false
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Answer : 2. "4213"
Explanation :
Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m Average speed of man= total distance/ total time=> 54/13 = 4213 kmph
Q: Statement: Ministry of Tourism in its one of the reports revealed that due to recent social disturbance in the country, the number of foreign tourists has decreased considerably, which resulted in a financial loss of Rs 100 crore.Courses of action:a. The Government should provide financial support to the tourism sector.b. Foreign tourists should be informed that they visit the country at their risk. 1719 05b5cc764e4d2b4197774fd8f
5b5cc764e4d2b4197774fd8f- 1Only b followsfalse
- 2Only a followsfalse
- 3Both a & b followsfalse
- 4Neither a nor b followstrue
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Answer : 4. "Neither a nor b follows"
Explanation :
Answer: D) Neither a nor b follows Explanation: Financial support to the tourism sector is not a permanent solution. Secondly, constant risk for the foreign tourists will never encourage tourism in India. Hence, none of the course action is the right solution in this direction.
Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 867 05b5cc764e4d2b4197774fd85
5b5cc764e4d2b4197774fd85- 11:7true
- 27:1false
- 32:3false
- 43:2false
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Answer : 1. "1:7"
Explanation :
Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7 = 1:7
Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 1538 05b5cc764e4d2b4197774fd80
5b5cc764e4d2b4197774fd80- 1100 mtsfalse
- 296 mtsfalse
- 398 mtstrue
- 4120 mtsfalse
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Answer : 3. "98 mts"
Explanation :
Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.
Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ? 1154 05b5cc764e4d2b4197774fd7b
5b5cc764e4d2b4197774fd7b- 12/3false
- 21/2true
- 37/8false
- 44/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18 Multiples of 5 below 20 are 5, 10, 15, 20 Required number of possibilities = 10Total number of possibilities = 20Required probability = 10/20 = 1/2.
Q: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1287 05b5cc764e4d2b4197774fd76
5b5cc764e4d2b4197774fd76- 14/3false
- 22/3false
- 33/2false
- 43/4true
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Answer : 4. "3/4"
Explanation :
Answer: D) 3/4 Explanation: Let S be the sample space.Here n(S)= 23 = 8Let E be the event of getting atmost two heads. Then,n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}Required probability = n(E)/n(S) = 6/8 = 3/4.
Q: Which of the following is / are fund managers for National Pension System (NPS) in 2017 ? 1352 05b5cc761e4d2b4197774fd71
5b5cc761e4d2b4197774fd71- 1Axis provident fundfalse
- 2Yes bank pension fundfalse
- 3ICICI prudential pensiontrue
- 4Punjab National provident fundfalse
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Answer : 3. "ICICI prudential pension"
Explanation :
Answer: C) ICICI prudential pension Explanation: At present in 2017, there are only seven NPS fund managers viz. HDFC Pension Fund, ICICI Prudential Pension, Kotak Pension Fund, LIC Pension Fund, Reliance Capital Pension, SBI Pension Fund and UTI Retirement Solutions.