IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 2346 0

  • 1
    12 pm
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  • 2
    1 pm
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  • 3
    11 am
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  • 4
    11:30 am
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उत्तर : 1. "12 pm"
व्याख्या :

Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.

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उत्तर :
व्याख्या :

Let the ratio be 'R' Total number of students = 1050 Then, 9R + 5R = 1050 14R = 1050 => R = 75   Hence, the number of boys = 9R = 9 x 75 = 675

प्र: A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ? 2343 0

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    12 days
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  • 2
    14 days
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  • 3
    13 days
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  • 4
    16 days
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उत्तर : 3. "13 days"
व्याख्या :

Answer: C) 13 days Explanation: Now, Total work = LCM(16, 8) = 48 A's one day work = + 48/16 = + 3 B's one day work = - 48/8 = -6 Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15 2days B joined with A in working = 2(3 - 6) = - 6 Remaining Work of building wall = 48 - (15 - 6) = 39 Now this remaining work will be done by A in = 39/3 = 13 days.

प्र: The law of increasing opportunity costs states that 2343 0

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    along a production possibilites curve, increases in the production of one good make the production of that good easier and easier
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    increases in wages cause increases in the costs of production
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    costs of production increases and then decreases
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    along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other good
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उत्तर : 4. "along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other good"
व्याख्या :

Answer: D) along a production possibilities curve, increases in the production of one good require larger and larger sacrifices of the other good Explanation: Opportunity cost is the cost of what you are giving up to do what you are currently doing. If you can either go to work or go to the beach, and you choose to work, the opportunity cost of working is the value you would have gotten had you gone to the beach.   The law of increasing opportunity costs states that as you increase production of one good, the opportunity cost to produce an additional good will increase.

प्र: What comes next in this sequence 196, 169, 144, 121, 100, 81, ? 2343 0

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    77
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  • 2
    74
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  • 3
    67
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    64
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उत्तर : 4. "64"
व्याख्या :

Answer: D) 64 Explanation: The given number series follows a pattern that 196, 169, 144, 121, 100, 81, ?     -27  -25   -23   -21  -19  -17   => 81 - 17 = 64 Therefore, the series is 196, 169, 144, 121, 100, 81, 64.

प्र: 88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ? 2343 0

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    112 mts
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  • 2
    84 mts
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  • 3
    96 mts
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  • 4
    108 mts
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उत्तर : 2. "84 mts"
व्याख्या :

Answer: B) 84 mts Explanation: Vol of silver = πR2h  = 66 C.C   Given D= 1mm => R = D/2 = 1/20 cm     => 227×1202×h = 66 = 66 x 400 x (7/22) = 8400 cm = 84 mtrs.

प्र: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2343 0

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    4.58 kms
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    6.35 kms
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    5.76 kms
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  • 4
    5.24 kms
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उत्तर : 3. "5.76 kms"
व्याख्या :

Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream  = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance  = 2.88 x 2 = 5.76 kms

प्र: Find the next number in the following number series? 11, 13, 30, 96, ? 2341 0

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    264
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    392
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  • 3
    412
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  • 4
    459
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उत्तर : 2. "392"
व्याख्या :

Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392   Hence, the next number in the given series is 392.

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