IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ? 2260 0

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    40 km
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  • 2
    30 km
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  • 3
    20 km
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  • 4
    10 km
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उत्तर : 3. "20 km"
व्याख्या :

Answer: C) 20 km Explanation: Average speed = 2aba+b, here a=25 b=4 = 2 x 25 x 4/(25+4) = 200/29 km/hr. Distance covered in 5 hours 48 minutes = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms. Distance of the post office from the village = (40/2) = 20 km.

प्र: Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ? 2260 0

  • 1
    9
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  • 2
    10
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  • 3
    11
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  • 4
    12
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उत्तर : 3. "11"
व्याख्या :

Answer: C) 11 Explanation: Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.Given SD makes 1/4 th of the total fleet.=> 8 = 1/4 (21 + x)=> 32 = 21 + x=> x = 11 Therefore, the company has 11 small cars.

प्र: 7 years ago, the ratio of the ages of Anirudh to that of Bhavana, was 7:9. Chandhu is 12 years older than Anirudh and 12 years younger than Bhavana. What is Chandhu's present age? 2259 0

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    91 years
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  • 2
    115 years
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  • 3
    103 years
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  • 4
    Can't be determined
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उत्तर : 3. "103 years"
व्याख्या :

Answer: C) 103 years Explanation: Let present Anirudh's age be 'A' and Bhavana's age be 'B' Given seven years, their ratio is 7:9 => A-7 : B-7 = 7 : 9 => 9A - 7B = 14 .......(1) And given, Chandhu is 12 years older than A nad 12 years younger than B => C = A + 12....(2) => B = C + 12 => B = A + 12 + 12 .....(From (2)) => B = A + 24 ....(3) Put (3) in (1) 9A - 7(A+24) = 14 9A - 7A - 168 = 14 2A = 182 => A = 91 years => C = A + 12 = 91 +12 = 103 years.

प्र: What is two weeks from today? 2258 0

  • 1
    same day
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  • 2
    previous day
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  • 3
    next day
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  • 4
    None
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उत्तर : 1. "same day"
व्याख्या :

Answer: A) same day Explanation: We know that the day repeats every 7 days, 14 days, 21 days,... So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday. Hence, after 2 weeks i.e, 14 days the day repeats and is the same day.

प्र: A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ? 2258 0

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    18
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  • 2
    24
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  • 3
    36
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  • 4
    32
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उत्तर : 3. "36"
व्याख्या :

Answer: C) 36 Explanation: Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

प्र: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 2257 0

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    Rs. 13 and Rs. 17
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  • 2
    Rs. 17 and Rs. 19
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  • 3
    Rs. 23 and Rs. 17
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  • 4
    Rs. 13 and Rs. 19
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उत्तर : 1. "Rs. 13 and Rs. 17"
व्याख्या :

Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13

प्र: The primary Economic function of the Financial system is to 2256 0

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    Providing experts advice to investors and savers
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    Match one person's savings with another person's investment
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    Keeping interest rates low
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  • 4
    Match one person's consumpion expenditure with another person's capital expenditure
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उत्तर : 2. "Match one person's savings with another person's investment"
व्याख्या :

Answer: B) Match one person's savings with another person's investment Explanation: The primary Economic function of the Financial system is to match one person's savings with another person's investment. As a key component of the financial system, banks allocate funds from savers to borrowers in an efficient manner. They provide specialized financial services, which reduce the cost of obtaining information about both savings and borrowing opportunities. These financial services help to make the overall economy more efficient.

प्र: The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ? 2256 0

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    37/64
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  • 2
    27/56
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  • 3
    11/13
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  • 4
    9/8
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उत्तर : 1. "37/64"
व्याख्या :

Answer: A) 37/64 Explanation: Probability of not hitting the ball = 1- 1/4 =Then, the probability that the batsman will hit the ball =

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