GATE प्रश्न और उत्तर का अभ्यास करें

प्र: 'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it? 2639 0

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    Rs.196
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    Rs.210
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    Rs.200
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  • 4
    Rs.235
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उत्तर : 3. "Rs.200"
व्याख्या :

Answer: C) Rs.200 Explanation: Let the article costs 'X' to ACost price of B = 1.2XCost price of C = 0.75(1.2X) = 0.9XCost price of D = 1.4(0.9X) = 1.26X = 252Amount paid by A for the article = Rs. 200.

प्र: What is the term used in tennis when the score is 40-40? 2637 0

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    Ace
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    Led
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    Deuce
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    Tie
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उत्तर : 3. "Deuce"
व्याख्या :

Answer: C) Deuce Explanation: When both sides have won the same number of points then: when each side has won one, or two, points, the score is described as "15-all" and "30-all" (or "15-up" and "30-up"), respectively. However, if each player has won three points, the score is called as "deuce", not "40–all". From that point on in the game, whenever the score is tied, it is described as "deuce", regardless of how many points have been played.

प्र: Which of the following is the strongest base? 2636 0

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    LiCH3
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    LiF
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    LiOH
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    LiNH2
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उत्तर : 1. "LiCH3"
व्याख्या :

Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.   In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

प्र: Planet : Orbit :: Projectile : ? 2634 0

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    Path
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    Milky way
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    Track
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    Trajectory
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उत्तर : 4. "Trajectory"
व्याख्या :

Answer: D) Trajectory Explanation: The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory.   Hence, Planet : Orbit : : Projectile : Trajectory.

प्र: Malleability and Ductility of metals can be accounted due to 2619 0

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    the crystalline structure in metal
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    the interaction of electrons with metal ions in the lattice
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    the presence of electrostatic force
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    the capacity of layers of metal ions to slide over the other
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उत्तर : 4. "the capacity of layers of metal ions to slide over the other"
व्याख्या :

Answer: D) the capacity of layers of metal ions to slide over the other Explanation:

प्र: Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ? 2617 0

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    404
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    415
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    418
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  • 4
    420
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उत्तर : 3. "418"
व्याख्या :

Answer: C) 418 Explanation: Let the total book be 1 Then, in the 1st week 613th of book is read i.e remaining pages =  1-613=713 in 2nd week he read 59th of it i.e 59×713=35117Remaining pages after 2nd week = 713-35117=28117 But given remaining pages after 2nd week = 100   28x117=100 --> x = 418   The total pages in the book are 418

प्र: Statements :-    All kids are God.   No God is a Human.   Some Human are Son.   All Son are Men.   Conclusions :-    (a) Some Son are not God.   (b) Some Men are Human. 2616 0

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    Only A follows
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    Only B follows
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    Both (A) and (B) follows
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    A) and (B) follows D)
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उत्तर : 3. "Both (A) and (B) follows"
व्याख्या :

Answer: C) Both (A) and (B) follows Explanation:

प्र: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ? 2615 0

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    15
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    20
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    10
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    8
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उत्तर : 3. "10"
व्याख्या :

Answer: C) 10 Explanation: Let the price of each note book be Rs.x. Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y. Hence xy = 300 => y = 300/x (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy =>5(300/x) - 10x - 50 = 0 => -150+x2+5x multiplying both sides by -1/10x => x2+15x-10x-150=0 => x(x + 15) - 10(x + 15) = 0 => x = 10 or -15 As x>0, x = 10.

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