GRE Practice Question and Answer

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ? 1728 0

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    4
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    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "5"
Explanation :

Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1)   But (3x + 2)(2x - 5) = 6x2-11x-10........(2)   so by comparing (1) & (2),   we get a= 6, k= -11 , n= -10   (a - n + k) = 6 + 10 - 11 = 5.

Q: 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 ? 1728 0

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    61%
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    Wrong
  • 2
    75%
    Correct
    Wrong
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    55%
    Correct
    Wrong
  • 4
    81%
    Correct
    Wrong
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Answer : 1. "61%"
Explanation :

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%

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Answer : 2. "1/6"
Explanation :

Answer: B) 1/6 Explanation: Total work is given by L.C.M of 72, 48, 36 Total work = 144 units Efficieny of A = 144/72 = 2 units/day Efficieny of B = 144/48 = 3 units/day Efficieny of C = 144/36 = 4 units/day   According to the given data, 2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100 3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54 p = 198/16.5 p = 12 days.   Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day (C+D) in p days = (4 + 6) x 12 = 120 unit Remained part of work = (144-120)/144 = 1/6.

Q: A line is an undefined term because it 1726 0

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Answer :
Explanation :

A line is an undefined term because of it :   1. Contains an infinite number of points 2. can be used to create other geometric shapes 3. is a term that does not have a formal definition   In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 1723 0

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    4320
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    4694
    Correct
    Wrong
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    4957
    Correct
    Wrong
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    4871
    Correct
    Wrong
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Answer : 1. "4320"
Explanation :

Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways   Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.

Q: Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ? 1718 0

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    92.8%
    Correct
    Wrong
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    84.23%
    Correct
    Wrong
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    87.14%
    Correct
    Wrong
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    94.1%
    Correct
    Wrong
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Answer : 1. "92.8%"
Explanation :

Answer: A) 92.8% Explanation: Here, x = 40 and y = 30;Therefore second number= [[100+y100+x] x 100 ]% of first number= [[100+y100+x] x 100 ]% of first numberSecond number = 92.8% of the first number.

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Answer :
Explanation :

That 8 letter word is Whatsapp (a messenger app) First four letters:   WHAT a question Letters 2,3,4:     HAT protects our headLetters 5,6,7:   SAP an IT companyLetters 7,8:    PP same.

Q: What is the first step in Photosynthesis? 1717 1

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    Formation of ATP
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    Joining of 3-carbon atom to form glucose
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    Ionization of water
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    Excitement of an electron of chlorophyll photon of light
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Answer : 4. "Excitement of an electron of chlorophyll photon of light"
Explanation :

Answer: D) Excitement of an electron of chlorophyll photon of light Explanation: The first step in Photosynthesis is Excitement of an electron of chlorophyll photon of light.

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