IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1226 0

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    107 kmph
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  • 2
    106 kmph
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  • 3
    72 kmph
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  • 4
    76 kmph
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उत्तर : 2. "106 kmph"
व्याख्या :

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.

प्र: 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. 1938 0

  • 1
    4314
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  • 2
    4213
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  • 3
    2413
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  • 4
    3414
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उत्तर : 2. "4213"
व्याख्या :

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

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उत्तर : 4. "Neither a nor b follows"
व्याख्या :

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.

प्र: 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? 959 0

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    1:7
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  • 2
    7:1
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  • 3
    2:3
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  • 4
    3:2
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उत्तर : 1. "1:7"
व्याख्या :

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

प्र: 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 ? 1720 0

  • 1
    100 mts
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  • 2
    96 mts
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  • 3
    98 mts
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  • 4
    120 mts
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उत्तर : 3. "98 mts"
व्याख्या :

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.

प्र: 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 ? 1369 0

  • 1
    2/3
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  • 2
    1/2
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  • 3
    7/8
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  • 4
    4/5
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उत्तर : 2. "1/2"
व्याख्या :

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.

प्र: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1378 0

  • 1
    4/3
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  • 2
    2/3
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  • 3
    3/2
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  • 4
    3/4
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उत्तर : 4. "3/4"
व्याख्या :

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.

प्र: Which of the following is / are fund managers for National Pension System (NPS) in 2017 ? 1451 0

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    Axis provident fund
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  • 2
    Yes bank pension fund
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  • 3
    ICICI prudential pension
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  • 4
    Punjab National provident fund
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उत्तर : 3. "ICICI prudential pension"
व्याख्या :

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.

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