MU-NLPC/Calc-aqua_rat huggingface dataset:
A bag consists of 30 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white? Choose the correct choice from the following choices:	A) 5/6	B) 2/4	C) 1/4	D) 1/8	E) 1/16

Solution: bag consists of 20 marbles, of which 5 are blue, 9 are red   remainder are white. So, white = 30 - 5 - 9= 
30 - 5 - 9 = 16
16.   probability that the marble will be red or white= probability that the marble will be red + probability that the marble will be white   probability that the marble will be red or white = 9/30+16/30 = 25/30 = 5/6   Hence, answer will be 5/6.
Answer: A
If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to: Choices:
A) 55/601 B) 601/55 C) 11/120 D) 120/11 E) 120/13

Solution: given a+b=55,hcm and lcm is 5 and 120   axb=lcmx hcf   600=120x5   1/a+1/b=a+b/ab=>55/600=>11/120   ANSWER:11/120
Answer: C
An electric pump can fill a tank in 10 hours. Because of a leak in the tank, it took 20 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?	Select
A) 10hours  B) 12hours  C) 20hours  D) 5hours  E) 15hours

Solution: Work done by the leak in 1 hour = 1/10 - 1/20 = 1/20   The leak will empty the tank in 20hours   Answer is 20hours
Answer: C
There are 7 players in a bowling team with an average weight of 76 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choose the correct choice from the following choices:	A) 78 Kg.	B) 70 Kg.	C) 75 Kg.	D) 70 Kg.	E) 72 Kg.

Solution: The New average will be= (76*7+110+60)/9= 
(76*7+110+60)/9 = 78
78 kgs   78 Kg. is the answer
Answer: A
A fair coin is tossed repeatedly. If heads appears on first 7 tosses what is the probability that tail appears on the next two tosses?	Choose the correct choice from the following answers.
A) 1/6  B) 1/5  C) 1/3  D) 1/4  E) 1/6

Solution: Explanation :   Like mentioned in the question, the coin is fair. So chance of appearing of head and tail on each toss is same and each toss is independent from the previous one. So the chance of appearing tail on the next two tosses is still 1/2 each.   1/2 * 1/2 = 1/4   Answer : 1/4
Answer: D
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 42 years. What is Molly's age right now? Choose the correct choice from the following answers.
A) 24  B) 27  C) 30  D) 33  E) 36

Solution: Now, Sandy is  42 - 6= 
 42 - 6 = 36
36   Molly's age is (3/4) * 36= 
(3/4) * 36 = 27
27   The answer is 27.
Answer: B
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 2 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 5 hours. If at 06:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Choose the correct choice from the following answers
A) 16:00. B) 18:00. C) 20:00. D) 22:00. E) 24:00.

Solution: Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 2 hours   Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 5 hours   Time taken by both buses to meet again in St. Louis will be LCM of 2 and 5 = 10   If the buses start at 06:00 o'clock from St. Louis , they will meet again in St. Louis at 16:00 hours   16:00.nswer 16:00.
Answer: A
A woman buys a soccer ball for rs.9.00 and sells it for rs.12.00. Find her gain %.  Choose one:
A) 36.33% B) 9% C) 33.33% D) 24% E) 12%

Solution: sol. cp=rs 9.00, sp=rs 12.00   gain=rs(12.00 –9.00)=rs 3.00   so gain%={(3.00/9.00)*100}=33.33%   Answer is 33.33%.
Answer: C
Which of the following is equal to 3^k*5^(k-1)?  Choose one:
A) 3*15^(k-1)
B) 5*10^(k-1)
C) 15^k
D) 3*15^k
E) 15^(2k-1)

Solution: 3^k*5^(k-1) = 3*3^(k-1)*5^(k-1) = 3*15^(k-1)   The answer is 3*15^(k-1).
Answer: A
A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed?	Options:
A) 4hrs
B) 6hrs
C) 8hrs
D) 9hrs
E) 11hrs

Solution: New speed = 7/11 of usual speed   New time = 11/7 of usual time   11/7 of usual time = 22 hrs   Usual time = 22*7/11= 
22*7/11 = 14
14 hrs   Time saved= 22-44 = 8 hrs   Answer is 8hrs
Answer: C
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 6 people. If only Inna or Jake can drive, how many seat allocations are possible?  Choose the correct answer:	A) 30	B) 42	C) 120	D) 240	E) 720

Solution: 5 people ,6 seats, only 2 can drive   if inna is in one seat remaining, 4 people can be arranged in 4p4 i.e 4! =24 ways   since any one can drive total ways = 24 *2= 
24 *2 = 48
48 ways   4 seats can be chosen out of remaining 5 seats in 5c4 ways= 5!/(3!*2!)= 5 ways     48*5= 
  48*5 = 240
240   240
Answer: D
Point (j,k) is on the circle represented by j^2+k^2=10, and j, k are integers. How many such points are possible?	Answers
A) 0  B) 2  C) 4  D) 6  E) 8

Solution: j^2+k^2=10 and k, k are integers means that 10 is the sum of two perfect squares.   10 is the sum of only one pair of perfect squares 1 and 9.   So, there can be 8 such points, 4 in each quadrant:   (1, 3);   (1, -3);   (-1, 3);   (-1, -3);   (3, 1);   (3, -1);   (-3, 1);   (-3, -1).   Answer: 8.
Answer: E
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number R of employees who take the subway to work? Choose one
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: P/3 + F/4 = P/3 + (48-P)/4 = 12 + P/2   P/3 + F/3 = (P+F)/3 = 48/3= 
48/3 = 16
16   P/4 + F/4= 12   P/3 + F/3 > P/3 + F/4 > P/4 + F/4   --> 16> 12 + P/12 > 12   GREATEST Possible R: 12 + p/12 = 15 --> p = 36 ( integer --> good)   15 or 15 is the answer
Answer: D
An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 4 businessmen, how many possible team submissions are possible?  Choose the correct choice from the following answers
A) 52 B) 100 C) 162 D) 198 E) 202

Solution: We have 3 scenarios here:   1) 1 tech2 businessmen: 4C1 x 4C2 =24   2) 2 tech1 businessman: 4C2 x 4C1 = 24   3) 3 tech0 businessmen: 4C3 = 4   Total:24+24+4= 
24+24+4 = 52
52   52nswer: 52
Answer: A
Dan can fill Q cans of water in 7 minutes. If there are R cans of water in one gallon, how many gallons can Dan fill in 42 minutes?	Choose the correct option:  A) 6QR  B) 6R/Q  C) 6Q/R  D) 7Q/R  E) 7R/Q

Solution: Dan can fill this number of cans in 42 minutes:  (42/7)= 
 (42/7) = 6
6Q.   One can is 1/R gallons.   Dan can fill 6Q*(1/R)= 6Q/R gallons of water in 42 minutes.   The answer is 6Q/R.
Answer: C
Running at the same constant rate, 15 identical machines can produce a total of 45 bags per minute. At this rate, how many bags could 150 such machines produce in 8 minutes?  Answers
A) 9,00	B) 1,800	C) 2,700	D) 3,600	E) 4,800

Solution: Let's take the approach that uses the answer choices to eliminate wasted time.   45/15= 
45/15 = 3
3 bags per minute per machine. 150 machines= 450 per minute. 8 minutes worth = 3600 bags.   Looking at the answers it is clear...we can only choose (D).   THE CORRECT ANSWER IS 3,600.
Answer: D
Given that N=a^3*b^4*c^5 where a, b and c are distinct prime numbers, what is the smallest number with which N should be multiplied such that it becomes a perfect square, a perfect cube as well as a perfect fifth power?	Choose the correct answer:
A) a^3*b^4*c^5
B) a^5*b^4*c^3
C) a^2*b^3*c^5
D) a^7*b^6*c^5
E) a^27*b^26*c^25

Solution: The powers of a, b and c have to be divisible by 2, 3 and 5 for N to be a perfect square, perfect cube and perfect 5th power.   LCM of 2, 3 and 5 is 30   The smallest integer N = (a^30)(b^30)(c^30)   Answer: a^27*b^26*c^25
Answer: E
According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 120 12-ounce smoothies?  Choose the correct option.
A) 120
B) 150
C) 180
D) 240
E) 600

Solution: This question wasn't particularly grueling, but I think it's the first where I had the opportunity to solve it via theory andinspectionthat many on this board suggest as strategy on the GMAT. It actually came to me by accident. Basically, if we thought that the 3 packets of powder were included in the 12 ounces of water, that would mean we would need 150 packets of smoothie mix (along with 12(150) ounces of water for a total of 150 packets. However, we know, after a more careful reading of the stimulus, that the 3 ounces are NOT included in the 12 ounces. As such, the answer has to be LESS than 150 packets, since 150 would be too much powder considering you already have 150(12) ounces of water and need less packets than water to make a smoothie. As such, the only answer less than 150 is 120, A. 240oes this make sense? Or am I way off base?   240
Answer: D
Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.3 a meter?
Choose the most appropriate option.
A) 288
B) 132
C) 772
D) 207.3
E) 261

Solution: 2 * 22/7 * 11 = 69.1   69.1 * 3 = Rs.207.3   Answer: 207.3
Answer: D
In a sequence, each term is obtained by adding 5 to the preceding one. If the sum of the first 20 terms is equal to 350, what is the result of the addition of the first 30 terms? Choose the correct answer:
A) 1100
B) 1175
C) 1270
D) 1275
E) 1280

Solution: a is first term and d = 5 since the preceding number is always greater than the previous one..   Now 20th term is a+19(5).   Sum of n terms is n/2(first term + last term)and here we have to get sum of 20 terms , we get 20/2 ( a + a+95) = 350 ( given sum of 20 terms is 300)   => 10(2a+95) = 350   => 2a+95 = 35   => a = -30   Now to get sum of first 30 terms , we need to get 30th term value i.e. -30+29(5) = 115.   Sum of first 30 terms = 30/2( -30 + 115) =1275 .   Hence option 1275 is correct answer..
Answer: D
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds. The ratio of their speeds is?	Choose the correct choice from the following options:
A) 3/1
B) 4/1
C) 3/3
D) 3/5
E) 5/2

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train   = 27 x meters, and length of the second train   = 17 y meters. (27 x + 17 y) / (x + y) = 25 ==> 27 x + 17 y = 25 x + 25 y   ==> 2 x = 8 y ==> x/y   = 4/1.   Answer:4/1
Answer: B
The price of lunch for 15 people was $210.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?  Answers:  A) $11.73  B) $12.72  C) $13.80  D) $14.00  E) $15.87

Solution: Take the initial price before the gratuity is 100   The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 210 is for 115 then we have to calculate for 100   for 115 210   for 100 x   so by cross multiplication we get 115x=100*210 => x=100*210/110 by simplifying we get x as 190.90 which is the price of lunch before gratuity so the gratuity is 19.10 so   as the question ask the average price person excluding gratuity is 190.90/15=12.72 so our answer is $12.72)
Answer: B
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.85 less, he could have gained 25%. What is the cost price?  Choose the correct choice from the following.
A) s.370
B) s.375
C) s.425
D) s.350
E) s.300

Solution: s.425P1 = 100 SP1 = 120   s.425P2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   85 ----- ?=> 425   ANSWER:s.425
Answer: C
In a certain company, a third of the workers do not have a retirement plan. 10% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? Choices:
A) 80  B) 95  C) 105  D) 120  E) 91

Solution: 20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.   Then 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.   Make the total workers equal x and work from there and it should be fine > x/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.   Yes, you are right. I read the question incorrectly! I glazed overnotfor some reason.   If20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1/3 do not have retirement plan and 2/3 do have, it becomes a simple weighted average question.   Cavg = (90*1 + 40*2)/3 = 170/3% are men   Total = 120*300/170 = 211   No. of women = 211 - 120= 
211 - 120 = 91
91   91
Answer: E
Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10%?
Pick: A) 30000 B) 40000 C) 50000 D) 60000 E) 70000

Solution: let first parrt is x and second part is y then x+y=50000----------eq1   total profit=profit on x +profit on y   7000=(x*10*1)/100 + (y*20*1)/100   70000=x+2y-----------------------------------eq2   70000=50000+y   so y=20000 then x =50000-20000= 
50000-20000 = 30_000
30000   first part=30000   30000NSWER:30000
Answer: A
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?	Choose the correct choice from the following answers:
A) 17/65	B) 17/29	C) 17/21	D) 17/20	E) 17/212

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.Answer:17/20
Answer: D
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 75 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choose the correct choice from the following choices
A) 93%  B) 97%  C) 100%  D) 107%  E) 99%

Solution: Say Arthur's fortune was $100. Then:   A = 20*1.5*1.1= 
20*1.5*1.1 = 33
33   B= 20*1.5*1.1= 
20*1.5*1.1 = 33
33   C= 20*1.5*0.4= 
20*1.5*0.4 = 12
12   D= 20*0.6*1.75= 
20*0.6*1.75 = 21
21   E= 0   Total 33 + 33 + 12 + 21= 
33 + 33 + 12 + 21 = 99
99.   Answer: 99%.
Answer: E
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 15%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?	Choices:
A) 20%
B) 25%
C) 33.33%
D) 40%
E) 15%

Solution: Say 100g pure butter costs $100   But; $100 is his 25% profit because he just used 80gram pure butter.   80g would have costed him $80 and he sold it for $100 by adding 20g of freely available fat. $100 is 1.15(85)   so;   total weight=100g   fat=15g   15%   15%
Answer: E
Jack and Jill are marathon runners. Jack can finish a marathon (40 km) in 4.5 hours and Jill can run a marathon in 4.0 hours.What is the ratio of their average running speed? (Jack: Jill)	Choose one.
A) 14/15
B) 15/14
C) 8/9
D) 5/4
E) Cannot be determined

Solution: Average Speed of Jack =Distance/ Time   = 40 /(9/2) = 80/9   Average Speed of Jill = 40/(4.0)= 
40/(4.0) = 10
10   Ratio of Average speed of Jack to Jill= (80/9)/10 = 8/9   Answer 8/9
Answer: C
A train sets off at 2 p.m. at the speed of 60 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 70 kmph. At what time the trains will meet?
Choose the correct option
A) 0.37 p.m
B) 0.20 p.m
C) 0.30 a.m.
D) 0.38 p.m
E) 0.10 p.m

Solution: D = 60 * 1 Â½ = 90 km   RS = 70 â€“60 = 10   T = 90/10= 
90/10 = 9
9 h   3.30 + 9 h= 0.30 a.m.   Answer: 0.30 a.m.
Answer: C
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 90% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected? Choose the correct choice from the following
A) 12%  B) 16%  C) 20%  D) 24%  E) 40%

Solution: Let x be the number of students in calculus.   Then the number of students in trigonometry is 1.5x   The number of students on beginner calculus is 0.9x   The number of students in beginner trigonometry is 4/5*(2.5x) - 0.9x = 1.1x   The number of students in advanced trigonometry is 0.4x   The percentage in advanced trigonometry is 0.4x / 2.5x  4/5*(2.5 ) - 0.9= 
 4/5*(2.5 ) - 0.9 = 1.1
1.1x   The number of students in advanced trigonometry is 0.4x   The percentage in advanced trigonometry is 0.4x / 2.5x= 16%   The answer is 16%.
Answer: B
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age seven years back was? Choose the correct choice from the following answers.
A) 12yr
B) 15yr
C) 20yr
D) 25yr
E) 30yr

Solution: Let the son's present age be x years   Then, 38-x = x   x = 19   Son's age 7 years back = 19-7= 
19-7 = 12
12 years   12yrnswer is 12yr
Answer: A
A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 20% next year. This year, the total amount aid for type A products was $3500 and the total price paid for type B products was $6300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year? Choose the correct answer.
A) $14,755	B) $15,325	C) $16,000	D) $12,285	E) $17,155

Solution: cost of type A products next year = 1.35 * 3500= 
1.35 * 3500 = 4_725
4725   cost of type B products next year= 1.2 * 6300= 
1.2 * 6300 = 7_560
7560   total 4725 + 7560= 
4725 + 7560 = 12_285
12285   ANSWER:$12,285
Answer: D
Of 70 players on a football team, 52 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?	Choose the correct choice from the following:	A) 54	B) 59	C) 63	D) 64	E) 92

Solution: Total = 70   Thrower = 52   Rest = 70 - 52= 
70 - 52 = 18
18   Left Handed= 18/3= 
18/3 = 6
6   Right handed= 12   If all Thrower are right handed then total right handed is   52 + 12= 
  52 + 12 = 64
64   so D. 64 is the right answer
Answer: D
If a(a + 2) = 35 and b(b + 2) = 35, where a ≠ b, then a + b = Choose one:
A) -5
B) -6
C) -7
D) -2
E) -10

Solution: i.e. if a = 5 then b = -7   or if a = -7 then b = 5   But in each case a+b = 5-7 = -2   Answer: -2
Answer: D
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point W at the same time, how long, in hours, after the trains depart will they again meet at Point W? Choose one:  A) 3  B) 6  C) 9  D) 18  E) 22

Solution: I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer.   My solution is as follows, and I ask anyone to correct me if I am wrong.   Solution 1   Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X   dA = X dB = 12*3.14 - X   Times taken by A and B are   tA= X/4*3.14 , tB = (12*3.14 - X)/6*3.14 (ii)   Since they have been traveling for the same period of time, then   X/4*3.14 = (12*3.14 - X)/6*3.14   X/2 =(12*3.14 -X)/3   3X = 2(12*3.14 -X)   5X = 24*3.14   X = 24*3.14/5   Plugging that in either equation of (ii) yields t = 6/5   Solution 2   We add the speed of A and B: totalSpeed W= 4*3.14 + 6*3.14 = 10*3.14   Total distance covered = 12*3.14   t ime = distance / speed = 12*3.14/10*3.14 = 6/5.   tA =( X/4*3.14) =(24*3.14/5)/4*3.14 = 6/5=6
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?	Choose the correct choice from the following options.
A) 2.5 B) 2.9 C) 4 sec D) 2.8 E) 2.1

Solution: Speed = 90 * 5/18= 
90 * 5/18 = 25
25 m/sec   Time taken= 100/25= 
100/25 = 4
4 sec.   Answer:4 sec
Answer: C
The total circumference of two circles is 80. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?	Choose the correct answer.
A) 5.7
B) 6.0
C) 10.6
D) 9.7
E) 18.0

Solution: Let r= Radius of smaller circle. Let R = Radius of larger circle   Therefore:   2πr + 2πR = 80   where 2r = R   Thus:   2πr + 4πr = 80   6πr = 80   r = approx 4.2   πR + 2Rπ = 80   3πR = 80   R = approx 8.4   r + R = approx 10.6   Answer is 10.6
Answer: C
Which of the following equations has a root in common with x^2−3x+2=0 ?  Pick
A) x^2-2x+1=0
B) x^2-2x-1=0
C) x^2-x+1=0
D) x^2-3x+3=0
E) x^2-7x=0

Solution: If we carefully look at the given equation we can arrange it in the following manner:   (x-1)(x-2)= 0   so the two roots are 1 and 2.   Now put 1 and 2 in given equations. The equation in which one of them gives value 0, that will be our answer.   (A) putting 1: we get 0. This is the equation.   We are lucky. No need to check other options.   x^2-2x+1=0 is the answer.
Answer: A
Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ? Options:
A) 30 litres
B) 31 litres
C) 32 litres
D) 33 litres
E) 34 litres

Solution: 403)713(1   403   ---------   310)403(1   310   ----------   93)310(3   279   --------   31)93(3   93   -------   X   so answer is 31 litres......   ANSWER:31 litres
Answer: B
Find the missing number. 1, 4, 9, 16, 25, 36, 49, (....)	Answers:
A) 64 B) 54 C) 56 D) 81 E) 85

Solution: Explanation :   The series is 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2,   Hence, next term = 8^2 = 64   64nswer : Option 64
Answer: A
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 36 grams of protein daily, how many grams of food X are in the mixture.	Choose the correct choice from the following choices: A) 120 B) 140 C) 150 D) 160 E) 180

Solution: Let x be the amount of food X.   0.1x + 0.15(300-x) = 36   0.05x = 9   x = 180   The answer is 180.
Answer: E