GRE Practice Question and Answer

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Answer : 4. "321"
Explanation :

Answer: D) 321 Explanation: No. of people who read Hindu = 285No. of people who read TOI = 127No. of people who read IE = 212Now, No. of people who read Hindu and TOI both is = 20No. of people who read TOI and IE both is = 35No. of people who read Hindu and IE both is = 29Let No. of people who read Hindu , TOI and IE all is = x ;So, only Hindu is = 285-20-29-x = 236-x ;Only TOI is = 127-20-35-x = 72-x ;Only IE is = 212-35-29-x = 148-x ;Now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500 So, x = 45 this is the value who read all the 3 dailies.So, No. of people who read only one paper is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.

Q: Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ? 1459 0

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    79
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    77
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    76
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    73
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Answer : 1. "79"
Explanation :

Answer: A) 79 Explanation: Assuming Sripad has scored the least marks in subject other than science,Then the marks he could secure in other two are 58 each.Since the average mark of all the 3 subject is 65.i.e (58+58+x)/3 = 65116 + x = 195x = 79 marks. Therefore, the maximum marks he can score in maths is 79.

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 3547 0

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    75 min
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    82 min
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    90 min
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    101 min
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

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Answer : 3. "Either b alone or a & b follows"
Explanation :

Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total  is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.

Q: If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ? 1505 0

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    25%
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    30%
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    17%
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    19%
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Answer : 1. "25%"
Explanation :

Answer: A) 25% Explanation: He has gain = 15 - 12 = 3,Gain% = (3/12) x 100 = (100/4) = 25.He has 25% gain.

Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 1417 0

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    2
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    3
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    4
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    5
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ? 1541 0

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    4
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    1
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    5
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    3
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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 race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1276 0

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    25 m
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    21 m
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    22 m
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    19 m
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Answer : 1. "25 m"
Explanation :

Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB    182200×200169   => 182:169   When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m       So C beats B by (350 - 325) = 25 m.

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