GATE प्रश्न और उत्तर का अभ्यास करें

प्र: Find the Odd One Out? 3, 4, 14, 48, 576, 27648 1885 0

  • 1
    4
    सही
    गलत
  • 2
    14
    सही
    गलत
  • 3
    48
    सही
    गलत
  • 4
    27648
    सही
    गलत
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उत्तर : 2. "14"
व्याख्या :

Answer: B) 14 Explanation: Given Number series is :   3   4   14   48   576   27648   It follows a pattern that,   3   4   4 x 3 = 12   but not 14   12 x 4 = 48   48 x 12 = 576   576 x 48 = 27648       Hence, the odd one in the given Number Series is 14.

प्र: If Theresa's daughter is my daughter's mother, what am I to Theresa? 1884 0

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    Son-in-law
    सही
    गलत
  • 2
    Daughter-in-law
    सही
    गलत
  • 3
    Grand mother
    सही
    गलत
  • 4
    Grand Daughter
    सही
    गलत
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उत्तर : 1. "Son-in-law"
व्याख्या :

Answer: A) Son-in-law Explanation: Given that If Theresa's daughter is my daughter's mother It has 2 ways of Answers such that it depends on the sex of me. That is Male or Female.   1) If I am a Male : My daughter's mother is my wife. My wife is Teresa's daughter => I am Teresa's Son-in-law.   2) If I am a Female : My daughter's mother is myself. Myself Teresa's daughter. => I am Teresa's Daughter.   But in the given options only Son-in-law is available and daughter is not given.   So, Son-in-law is correct.

प्र: On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ? 1884 0

  • 1
    14
    सही
    गलत
  • 2
    16
    सही
    गलत
  • 3
    12
    सही
    गलत
  • 4
    15
    सही
    गलत
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उत्तर : 4. "15"
व्याख्या :

Answer: D) 15 Explanation: Let 'K' be the total number of sweets.Given total number of students = 112If sweets are distributed among 112 children,Let number of sweets each student gets = 'L' => K/112 = L ....(1)But on that day students absent = 32 => remaining = 112 - 32 = 80Then, each student gets '6' sweets extra. => K/80 = L + 6 ....(2)from (1) K = 112L substitute in (2), we get112L = 80L + 48032L = 480L = 15 Therefore, 15 sweets were each student originally supposed to get.

प्र: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 1884 0

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    1/7 min
    सही
    गलत
  • 2
    7/2 min
    सही
    गलत
  • 3
    5/7 min
    सही
    गलत
  • 4
    7/5 min
    सही
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उत्तर : 2. "7/2 min"
व्याख्या :

Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.

प्र: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1884 0

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    360
    सही
    गलत
  • 2
    180
    सही
    गलत
  • 3
    90
    सही
    गलत
  • 4
    120
    सही
    गलत
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उत्तर : 2. "180"
व्याख्या :

Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ;   8 x 9 x 25 x 7 = 23 × 32 × 52 × 7   16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72   H.C.F = 22 × 32 × 5 = 180.

प्र: 0 divided by 0 1884 0

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    0
    सही
    गलत
  • 2
    1
    सही
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  • 3
    Undefined
    सही
    गलत
  • 4
    Indeterminate
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उत्तर : 4. "Indeterminate"
व्याख्या :

Answer: D) Indeterminate Explanation: Indeterminate are those,which mathematics can’t determine. Because we don’t actually know which one is the exact answer for this due to having lots of results for this. Explanation:: Let us think by this analogy that, 0 / 1 = 0 0 / 2 = 0 ………… ……….. we can say 0 / n = 0 from this we can write, 0/0 = 0 Again, another analogy,(from limiting concept of 1/0 = infinity) 1 / 0 = +∞ or -∞ 2 /0 = +∞ or -∞ ……… .……. we can say 0 / 0 = ∞ Again, another analogy, 1 / 1 = 1 2/2 = 1 .…….. ……….. we can say, 0/0 = 1 Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact. So, 0/0 is indeterminate.

प्र: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 1882 0

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    61%
    सही
    गलत
  • 2
    75%
    सही
    गलत
  • 3
    55%
    सही
    गलत
  • 4
    81%
    सही
    गलत
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उत्तर : 1. "61%"
व्याख्या :

Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220,  S.P. = Rs.320.   New C.P. = 125% of Rs. 100 = Rs. 125  New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195   Required percentage = 195320×100== 60.9 =~ 61%

प्र: Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete. The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses. 1881 0

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    Caught, impact
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    गलत
  • 2
    Caught, effect
    सही
    गलत
  • 3
    Fetched, affect
    सही
    गलत
  • 4
    Fetching, impact
    सही
    गलत
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उत्तर : 1. "Caught, impact"
व्याख्या :

Answer: A) Caught, impact Explanation: Caught - according to the sentence given caught means to become involved in something, often without wanting to. Impasse - means a situation in which further development is impossible.

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