CAT प्रश्न और उत्तर का अभ्यास करें

प्र: What is the number of digits in 333? Given that log3 = 0.47712? 6302 0

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    12
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  • 2
    13
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  • 3
    14
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  • 4
    15
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उत्तर : 2. "13"
व्याख्या :

Answer: B) 13 Explanation:  Let   Let x=333 = 333    Then, logx = 33 log3     = 27 x 0.47712 = 12.88224    Since the characteristic in the resultant value of log x is 12   ∴The number of digits in x is (12 + 1) = 13    Hence the required number of digits in 333is 13.

प्र: Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue? 6298 0

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    41
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  • 2
    40
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    28
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  • 4
    27
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उत्तर : 3. "28"
व्याख्या :

Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.   We may consider the two cases as under: Case I:  ←3C↔8B↔5A→21   Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40   Case II:  ←3C A↔5B   Number of persons between A and C                     = (8 - 6) = 2    ∵[C↔8B A→21B]   Clearly number of persons in the queue = (3+1+2+1+21) = 28   Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

प्र: Boy, man, uncle, fireman, grandfather are... 6291 0

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    Feminine titles
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  • 2
    Masculine titles
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    Both Feminine and Masculine titles
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  • 4
    None of the above
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उत्तर : 2. "Masculine titles"
व्याख्या :

Answer: B) Masculine titles Explanation: As they are the titles of male gender, they are called as Masculine titles.

प्र: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ? 6281 0

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    27 sec
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    31 sec
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  • 3
    23 sec
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  • 4
    29 sec
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उत्तर : 1. "27 sec"
व्याख्या :

Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

प्र: Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ? 6273 0

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    4 days
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    8 days
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    3 days
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    6 days
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उत्तर : 4. "6 days"
व्याख्या :

Answer: D) 6 days Explanation: 4/10 + 9/x = 1     => x = 15    Then both can do in  1/10 + 1/15 = 1/6     => 6 days

प्र: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? 6268 0

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    64
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  • 2
    76
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  • 3
    84
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  • 4
    98
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उत्तर : 3. "84"
व्याख्या :

Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84

प्र: Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1. 6265 0

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    3
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    2
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  • 3
    1
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  • 4
    0
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उत्तर : 3. "1"
व्याख्या :

Answer: C) 1 Explanation: Given that, 4198+612345+34866+2411+1 Now Power Cycle of 4 is 4, 6  6 is 6  8 is 8, 4, 2, 6 1 is 1   4198- 198 is even number , So the unit digit value is 6    612345 - It is always 6   34866-  66/4 the remainder is 2 , So the second value is 4   2411- 11 is odd number, So the unit digit value is 4   1 - It is always 1  Total = 21   Therefore, The unit digit is 1

प्र: The Study of Ancient Societies is called 6259 0

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    Anthropology
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    Archaeology
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    History
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    Ethnology
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उत्तर : 2. "Archaeology"
व्याख्या :

Answer: B) Archaeology Explanation: Archaeology is the science which studies ancient societies based on their material remains. Through the analysis of objects and those works constructed by ancient peoples, this science can arrive at conclusions about their culture and their ways of life. There are several branches of Archaeology as well as many tools relevant to this science.

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