CAT प्रश्न और उत्तर का अभ्यास करें

प्र: Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ? A. 6623 mts B. 6632 mts C.6345 mts D. 6354 mts 1521 0

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    Option A
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  • 2
    Option B
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  • 3
    Option C
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  • 4
    Option D
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उत्तर : 1. "Option A"
व्याख्या :

Answer: A) Option A Explanation: As Trains are moving in same direction, Relative Speed = 60-20 = 40 kmph --> 40×518=1009 m/sec   Length of Train= Speed * Time   Length = 1009×6 ⇒2003=6623 mts

प्र: Which state Chief minister launches ridesharing app for techies G-Ride ? 1520 0

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    Karnataka
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  • 2
    Uttar Pradesh
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  • 3
    Kerala
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  • 4
    Goa
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उत्तर : 3. "Kerala"
व्याख्या :

Answer: C) Kerala Explanation:

प्र: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in  ? 1520 0

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    8 hrs
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  • 2
    12 hrs
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  • 3
    6 hrs
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  • 4
    4 hrs
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उत्तर : 3. "6 hrs"
व्याख्या :

Answer: C) 6 hrs Explanation: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.  Then, (1/x + 2/x + 3/x) = 1/2  => 6/x = 1/2      => x = 12  So, B takes 6 hours to finish the work.

प्र: Which city is the world’s most crowded cities, according to World Economic Forum (WEF) citing UN Habitat Data ? 1520 0

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    Mumbai
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  • 2
    Lahore
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  • 3
    Lagos
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  • 4
    Dhaka
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उत्तर : 4. "Dhaka"
व्याख्या :

Answer: D) Dhaka Explanation: The capital of Bangladesh “Dhaka” is the world’s most crowded city with a population density of 44,500 people per square kilometre, released by World Economic Forum (WEF), citing UN Habitat data. According to UN Habitat data, of the top 10 most densely populated cities in the world, six are in Asia, three are in Africa and one is in South America. India’s financial capital Mumbai, home to 31,700 people per square kilometre has acquired second place, where as Kota in Rajasthan with 12,100 people per square kilometre was ranked seventh. Others in the list include Medellin in Columbia (3rd), Manila in Philippines (4th, 14,800), Casablanca in Morocco (5th, 14,200), Lagos in Nigeria (6th, 13,300), Singapore (8th, 10,200) and Jakarta in Indonesia (9th, 9,600).

प्र: In a fractional reserve banking system 1520 0

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    bank accepts deposits
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  • 2
    bank accepts some loans
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  • 3
    bank has some cash reserves
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  • 4
    All the above
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उत्तर : 4. "All the above"
व्याख्या :

Answer: D) All the above Explanation: Fractional reserve banking is the practice whereby a bank accepts deposits, makes loans or investments, but is required to hold reserves equal to only a fraction of its deposit liabilities. Fractional reserve banking is a banking system in which only a fraction of bank deposits are backed by actual cash on hand and are available for withdrawal. This is done to expand the economy by freeing up capital that can be loaned out to other parties.

प्र: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 1520 0

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    36 & 90
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  • 2
    90 & 41
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  • 3
    45 & 36
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  • 4
    41 & 36
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उत्तर : 1. "36 & 90"
व्याख्या :

Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :   Pattern of Series 1 :   6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90   Pattern of Series 2 : 12,18,26, ??   Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36.   For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

प्र: Third proportion of 10 and 20 is 1520 0

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    30
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  • 2
    40
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  • 3
    25
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  • 4
    20
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उत्तर : 2. "40"
व्याख्या :

Answer: B) 40 Explanation: The third proportional of two numbers p and q is defined to be that number r such that p : q = q : r.   Here, required third proportional of 10 & 20, and let it be 'a' => 10 : 20 = 20 : a 10a = 20 x 20 => a = 40   Hence, third proportional of 10 & 20 is 40.

प्र: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ? 1519 0

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    57
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    75
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    48
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  • 4
    39
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उत्तर : 4. "39"
व्याख्या :

Answer: D) 39 Explanation: Let the two-digit number be 10a + ba + b = 12 --- (1)If a>b, a - b = 6If b>a, b - a = 6If a - b = 6, adding it to equation (1), we get2a = 18 => a =9so b = 12 - a = 3Number would be 93.if b - a = 6, adding it to the equation (1), we get2b = 18 => b = 9a = 12 - b = 3.Number would be 39.There fore, Number would be 39 or 93.

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