IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ? 1772 0

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    Rs. 5422
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    Rs. 5489
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    Rs. 3972
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  • 4
    Rs. 6145
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उत्तर : 3. "Rs. 3972"
व्याख्या :

Answer: C) Rs. 3972 Explanation: Let p = Rs. 100. Then, S.I is Rs. 50 and time = 5 years.  ∴ R = 100×50100×5= 10% p.a.   Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a. C.I. = Rs. 12000×1+101003-1= Rs. 3972

प्र: Which number replaces the '?' in the given series 108, 127, 2413, 2430, 41310, ?, 619875 2268 0

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    41975
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    41325
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    84375
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    41365
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उत्तर : 2. "41325"
व्याख्या :

Answer: B) 41325 Explanation: The given series follows a pattern of +19, x19, +17, x17, +15, x15,... Here the number which is to be replaced in ? is 41310+15=41325.

प्र: Find the next number in the series 265, 269, 278, 284, ? 1408 0

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    309
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    319
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    298
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    415
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उत्तर : 1. "309"
व्याख्या :

Answer: A) 309 Explanation: The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52... The next number is 284+25 = 309.

प्र: Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank? 6039 0

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    48min
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    72min
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    24min
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  • 4
    None of these
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उत्तर : 3. "24min"
व्याख्या :

Answer: C) 24min Explanation: Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,   part filled by tap X in 1 minute = 1/30   part filled by tap Y in 1 minute = 1/40   Tap Z can empty the tank in 60 minutes. Therefore,   part emptied by tap Z in 1 minute = 1/60   Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24   i.e., the tank can be filled in 24 minutes.

प्र: What is to be replaced in place of '?' in the following series ?  A2BC, ?, ABC4, A5BC 5736 0

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    A3BC
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  • 2
    ABC3
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    AB3C
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    A2B3C4
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उत्तर : 3. "AB3C"
व्याख्या :

Answer: C) Option C Explanation: Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order.

प्र: Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? 1570 0

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    12 a.m.
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    1 p.m.
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    11 a.m.
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  • 4
    12 p.m.
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उत्तर : 4. "12 p.m."
व्याख्या :

Answer: D) 12 p.m. Explanation: Assume both trains meet after 'p' hours after 7 a.m.Distance covered by train starting from A in 'p' hours = 20p kmDistance covered by train starting from B in (p-1) hours = 25(p-1)Total distance = 200=> 20x + 25(x-1) = 200=> 45x = 225=> p= 5Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.

प्र: A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ? 1165 0

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    48 kmph
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    50 kmph
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    46 kmph
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    42 kmph
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उत्तर : 1. "48 kmph"
व्याख्या :

Answer: A) 48 kmph Explanation: we know that speed = distance traveled/time takenlet the total distance traveled by the car is 2x km.then time taken by it to cover first half is x/60 hour.and for second half is x/40 hour.Then average speed= total distance travelled / total time taken.   i.e. 2xx60+x40   => 2x5x120   = 48 kmph.

प्र: Statement: Air export volumes have increased substantially over the past decade causing backlogs and difficulties for air cargo agents because of increased demand for space and service.Courses of action:a. Airlines and air cargo agents should jointly work out a solution to combat the problem.b. The reasons for the increase in the volume of air exports should be found out. 1525 0

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    Only a follows
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    Both a and b follows
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    Only b follows
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    Neither a nor b follows
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उत्तर : 1. "Only a follows"
व्याख्या :

Answer: A) Only a follows Explanation: The problem faced, by the airlines and cargo agents is the non availability of cargo space. Therefore, right course of action is to combat the problem.

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