MU-NLPC/Calc-aqua_rat huggingface dataset:
If the probability that the NY Giants win the Super Bowl is 1/12 and the probability that the NY Mets win the World Series is 1/15, what is the probability that either the NY Giants win the Super Bowl or the NY Mets win the World Series (but not both)?	Answers
A) 1/18  B) 5/36  C) 7/48  D) 11/72  E) 17/120

Solution: 11/12*1/15 + 1/12*14/15 = 25/180 = 5/36   The answer is 5/36.
Answer: B
If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n? Choose the most appropriate option
A) 8
B) 27
C) 81
D) 110
E) 125

Solution: cube of a number entails having 3 copies of the original prime factors. Since 550 is a factor of n^3 the least possible value of n is 5(11)2 = 110   the answer is 110.
Answer: D
Two containers of milk contain mixtures of water and milk in ratio 5:4 and 7:9. In what ratio they should be mixed so that mixture is of 6:6 ratio?  Select
A) 6:5
B) 7:5
C) 9:8
D) 8:9
E) 8:7

Solution: 6/6-5/4==>-1/4   7/9-6/6==>-2/9   now, -1/4=-2/9==>1/4=2/9==>9:8   ANSWER:9:8
Answer: C
A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 70 percent of its games that season, what was the total number of games that the team played?
Choose the most appropriate option.
A) 75 B) 90 C) 120 D) 150 E) 180

Solution: 70% is 20%-points above 50% and 10%-points below 80%.   Thus the ratio of "the first 60 games" to "remaining games" is 1:2.   So the team played a total of 60+120= 
60+120 = 180
180 games.   The answer is 180.
Answer: E
If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 50 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day? Pick one: A) 100 B) 120 C) 140 D) 150 E) 160

Solution: Case 1:   let rate = R, Time = T, and Distance =D   so D=RT   Case 2:   (D+50)=(R+5)(T+1)   Case 3:   (D+X)=(R+10)(T+2)   X=100   100ns 100
Answer: A
Angela’s grade was in the 90th percentile out of 80 grades in her class. In another class of 100 students there were 19 grades higher than Angela’s. If nobody had Angela’s grade, then Angela was what percentile of the two classes combined?  Pick one:
A) 72
B) 80
C) 81
D) 85
E) 92

Solution: If someone's grade is in xth percentile of the nn grades, this means that xx of people out of nn has the grades less than this person.   Being in 90th percentile out of 80 grades means Angela outscored 80∗0.9=7280∗0.9=72 classmates.   In another class she would outscored 100−19=8 students (note: Angela herself is not in this class).   So, in combined classes she outscored   72+81= 
  72+81 = 153
153. As there are total of   80+100= 
  80+100 = 180
180 students, so Angela is in   153/180= 
  153/180 = 17/20 = around 0.85
0.85=85, or in 85th percentile.   Answer: 85.
Answer: D
Find the number of square tiles to cover the floor of a room measuring 4.25 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?	Choices.
A) 478
B) 476
C) 472
D) 471
E) 510

Solution: 3 3/4 * 8 1/2 = 1/4 * 1/4 * x => x   = 510   Answer:510
Answer: E
Jeremy needs to choose three flowers for his mother from a group of 10 roses, six of which are red and four of which are white. What is the ratio of the number of ways in which he can select only red roses to the number of ways in which he can select only white roses?	Select
A) 30:1  B) 10:1  C) 5:1  D) 3:2  E) 1:5

Solution: you are given 10 roses out of which 6 are red and 4 are white.   Ways of selecting 3 red roses only out of 6 available = 65:13 = 6!/(3!*3!)   Similarly, Ways of selecting 3 white roses only out of 4 available = 45:13 = 4!/(3!*1!)   Thus the ratio = 65:13/45:13 = 5:1   5:1 is the correct answer.
Answer: C
Yane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Yane or Thomas is to be selected?	Select:
A) 28  B) 46  C) 55  D) 63  E) 70

Solution: Ans:55   Solution:   Y+T+6 = total 8 ,   we need to select at least one of the Y and T or both= total 4 out of 8 - 4 out of 6   8554 - 6554   =55
Answer: C
The length of a rectangulat plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?	Choose the most appropriate option:
A) 40
B) 50
C) 200
D) 120
E) None

Solution: Solution   Let breadth = x metres   Then, length = (x + 20)metres.   Perimeter	= (5300 / 26.50)= 
(5300 / 26.50) = 200
200m   Answer 200
Answer: C
If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Answers:
A) 67%	B) 70%	C) 60%	D) 62%	E) 65%

Solution: Given ratio   = 1/8 : 1/5 = 5 : 8   Let first number be 5x and the second number be 8x.   The second number is more than first number by 3x.   Required percentage   = 3x/5x * 100 = 60%.   Answer:60%3 /5  * 100= 
3 /5  * 100 = 60
60%.   Answer:60%
Answer: C
A shopkeeper sold an article offering a discount of 5% and earned a profit of 20.65%. What would have been the percentage of profit earned if no discount was offered?	Choose the correct choice from the following answers:  A) 60%  B) 27%  C) 30%  D) 56%  E) 73%

Solution: Let C.P. be Rs. 100.   Then, S.P. = Rs. 120.65   Let marked price be Rs. x. Then, 95/100 x = 120.65   x = 12065/95 = Rs. 127   Now, S.P. = Rs. 127, C.P. = Rs. 100   Profit % =27%.   Answer: 27%
Answer: B
At a dinner party 4 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?	Answers
A) 6
B) 10
C) 24
D) 32
E) 120

Solution: Hi there,   You can treat this as an ordering question except thatfor a circular arrangement you need to divide by the number of spaces.So in this case:   4!/4=6   If you spin the circle to right, that doesn't count as a new arrangement. Dividing by the number of spaces takes that into consideration.   Happy Studies,   HG.   6
Answer: A
Anna worked for h hours each day for d consecutive days. If she earns $3.50 per hour, what is the total amount she earned?	Select:
A) 3.50/d + h  B) 3.50 + d + h  C) 3.50 + dh  D) 3.50h + d  E) 3.50dh

Solution: H hours for d days.   Income each day = 3.5*h   Total income = 3.5*h*d   Correct option: 3.50dh
Answer: E
The probability of a team winning a match given Matt is playing the match is 0.65. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Select the correct option:
A) 0.8321 B) 0.7 C) 0.8571 D) 0.7531 E) 0.8387

Solution: Out of 100 matches:   Matt is plays in 80 and not plays in 20.   Out of 80 matches Matt plays in, team wins   0.65*80= 
  0.65*80 = 52
52.   Out of 20 matches Matt does not play in, team wins   0.5*20= 
  0.5*20 = 10
10.   So, out of 100 matches 52 + 10= 
52 + 10 = 62
62 are won.   It is known that the team has won the last match. Out of 62 matches won, Matt is in 52: 52/62= 0.8387...   Answer: 0.8387.
Answer: E
A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Choose the correct choice from the following answers:	A) 0.560X	B) 0.560X	C) 0.765X	D) 0.608X	E) 0.895X

Solution: If the price is reduced by 15 %, then the new price will be 0.85D   If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X   0.765X
Answer: C
A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there?	Choose the correct choice from the following answers:
A) 492,804  B) 650,000  C) 676,000  D) 1,757,600  E) 757,600

Solution: 26*26*10*10*10= 
26*26*10*10*10 = 676_000
676000   ANSWER:676,000
Answer: C
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer Q that must divide n is?  Choose the correct choice from the following options.
A) 6 B) 12 C) 24 D) 36 E) 48

Solution: Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer Q that must divide n is:   A 6, B 12, C 24, D 36, E 48   n^2 is divisible by 72, but it must also be greater than 72. If n is an integer, then n^2 must be a perfect square. The factorization of 72 is (8)(9), so if it is multiplied by 2, it will be (2)(8)(9) = (16)(9) = 144, a perfect square. So n^2 must be at least 144 or a multiple of 144, which means that n must be 12 or a multiple of 12.12
Answer: B
If 0 < x ≤ 6, then which one of the following is the maximum value of (x – 1)^2 + x ?	Select the correct option:
A) –2
B) –1
C) 0
D) 31
E) 2

Solution: the maximum value of (x – 1)^2 + x for 0 < x ≤ 6 is when x=6 --> (x – 1)^2 + x = 31   Answer: 31.
Answer: D
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Choose one
A) 16 sec B) 15 sec C) 48 sec D) 44 sec E) 21 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer:48 sec
Answer: C
Machines P and Q are two different machines that make items in a factory. When Machine P works alone, it covers 15 items in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 15 items in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 15item?
Select the correct option
A) m
B) n
C) 15n/225-mn
D) m+n
E) m-n

Solution: working rate p = 15/m ; working rate pq =( 1/p +1/q)* n =15 or mn/15 +n/q =15 0r n/q = 15-mn/15 = 225-mn/15   q = 15n/225-mn   15n/225-mn
Answer: C
There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 9 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?	Choose the correct choice from the following options.
A) 25	B) 32	C) 36	D) 48	E) 67

Solution: Make a venn diagram to get a clear picture. Look at the diagram:   Each letter represents only one color. b represents the people who take only Art. d represents people who take only Art and Bio etc.   d + f = 20 (People who take Art and one other class)   b = 3e (people who take only Art is 3 times the people who take Bio and Calculus)   9 + 10 + 5 + b + d + e + f = 100 (Total people)   b + b/3 = 56   b = 42   Number of freshmen who take Art = 42 + 20 + 5= 
42 + 20 + 5 = 67
67   Answer 67
Answer: E
A and B started business in partnership investing Rs. 18,000 and Rs. 16,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? Choose the correct choice from the following answers: A) A)7500 B) B)7389 C) C)7379 D) D)7453 E) E)7653

Solution: A:B:C = (18000 * 24) : (16000 * 24) : (20000 * 18) = 18:16:15   B's share = 25000 *15/49 = Rs.7653   Answer: 7653
Answer: E
Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 9% sugar. What percentage of the gallon is dye?	Choose the most appropriate option:
A) 6
B) 6.5
C) 7.2
D) 8
E) 24

Solution: The proportion of Dye and sugar will remain constant.   Dye/Sugar = (4/9)/(5/9) = x/9   => 4/5 = x/9 => x = 4*9/5 = 7.2.   Answer is 7.2.
Answer: C
City A to city B, Michael drove for 1 hour at 80 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? Choose the correct answer.
A) 57
B) 57.5
C) 58.2
D) 60
E) 62

Solution: The total distance is 1×80+3×60=240   And the total time is 4 hours. Hence,   Average Speed=(Total 60istance/Total Time)=240/4= 
240/4 = 60
60   Answer : 60
Answer: D
If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:  Select the correct option:
A) 20m	B) 16m	C) 11m	D) 10m	E) 15m

Solution: Explanation:   The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.   The distance covered by B in 5 seconds = (80 * 5) / 25= 
(80 * 5) / 25 = 16
16m   Hence, A beats B by 16m.   ANSWER 16m
Answer: B
Kelsey travelled for 10 hours. He covered the first half of the distance at 25 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Kelsey? Answers:
A) 583 km
B) 400 km
C) 670 km
D) 360 km
E) 234 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/25 + (x/2)/40 = 10 => x/50 + x/80   = 10 => (8x + 5x)/400 = 10 => x   = 400 km   Answer: 400 km
Answer: B
In how many ways can 6 boys and 3 girls sit around a table in such a way that no two girls sit together?
Choose the correct choice from the following answers:
A) 10000  B) 14000  C) 14400  D) 18000  E) 19000

Solution: The 6 boys can be seated around a table in 5! Ways. In between them there are 6 places.   The 3 girls can be placed in the 6 places in 6P3 ways.   Therefore, Required number of ways= 5!* 6P3   =120*120= 
120*120 = 14_400
14400   ANSWER:14400
Answer: C
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $74000, what is their combined tax rate?	Choose one.
A) 32%	B) 34.4%	C) 35%	D) 35.6%	E) 36.4%

Solution: (1) When 30 and 40 has equal weight or weight = 1/2, the answer would be 35.   (2) When 40 has larger weight than 30, the answer would be in between 35 and 40. Unfortunately, we have 2 answer choices D and E that fit that condition so we need to narrow down our range.   (3) Get 74000/128000 = 74/128 = 37/65 is a little above 1/2. Thus, our answer is just a little above 35.   Answer: 35.6%
Answer: D
If two integers x,y (x>y) are selected from -3 to 4 (inclusive), how many cases are there?  Choose the correct choice from the following answers
A) 20	B) 22	C) 24	D) 26	E) 28

Solution: There are 8 integers from -3 to 4 inclusive.   8C2 = 28.   The answer is 28.
Answer: E
How many integers between 100 and 400 are there such that their unit digit is odd? Choose the correct choice from the following options
A) 100	B) 120	C) 200	D) 50	E) 150

Solution: 300 numbers between - 100 and 400   Out of which half would be even, half odd.   Number of odd unit digit number = 150.   correct option is 150
Answer: E
A ball is bought for Rs.400 and sold at a gain of 20% find its selling price	Choose the correct choice from the following choices:	A) Rs.400/-	B) Rs.420/-	C) Rs.480/-	D) Rs.500/-	E) Rs.520/-

Solution: 100 % ------> 400 (100 * 4 = 400)   120 % ------> 480 (120 * 4 = 480)   Selling price = Rs.480/-   Rs.480/-)
Answer: C
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? Answers:
A) 2 kg
B) 2.5 kg
C) 2.4 kg
D) None of these
E) Cannot be determined

Solution: Explanation :   Fresh grapes contains 10% pulp.   So, 20 kg fresh grapes contains 2kg pulp.   Dry grapes contain 80% pulp.   2kg pulp would contain 2/0.8 = 20/8= 
20/8 = 5/2 = around 2.5
2.5 kg dry grapes.   Answer : 2.5 kg
Answer: B
If "WATER" is given a code of 67, then what is the difference between "RIVER" and "LAKE"? Answers.
A) 101
B) 29
C) 43
D) 42
E) 30

Solution: 43ase – 43odes : A - 1, B - 2, 43 - 3, D - 4, E - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26   RIVER: 72   LAKE: 29   Answer: 43
Answer: C
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 ) is an odd negative integer  Choose the most appropriate option.
A) I only	B) II only	C) I	D) I and III	E) II and III

Solution: If x is an odd negative integer and y is an even integer, which of the following statements must be true?   I. (3x - 2y) is odd   3x - is always negative and odd   2y - can be 0, when y=0, or always even integer (positivie or negative)   odd integer +/- even integer = always odd   I statement is always true   II. xy^2 is an even negative integer   y can be 0 => xy^2 = 0 (non-negative even) => II statement is not true   III. (y^2 ) is an odd negative integer   y can be 0 => III statement is not true   basing on above, only I statement will always be true   I
Answer: C
Find large number from below question The difference of two numbers is 1200. On dividing the larger number by the smaller, we get 5 as quotient and the 4 as remainder Choose the correct choice from the following answers:
A) 1234 B) 1345 C) 1456 D) 1567 E) 1499

Solution: Let the smaller number be x. Then larger number = (x + 1200).   x + 1200 = 5x +4   4x = 1196   x = 299   Large number = 299+1200= 
299+1200 = 1_499
1499   1499
Answer: E
Find 62976 ÷ ? = 123  Choose the most appropriate option:  A) 412  B) 502  C) 512  D) 522  E) None

Solution: Answer   Let 62976/N = 123   Then N = 62976 / 123= 
62976 / 123 = 512
512.   Option: 512
Answer: C
An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/3 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995? Choose the most appropriate option
A) 16 2/3%	B) 25%	C) 33 1/3%	D) 50%	E) 66 2/3%

Solution: Let price of each share in 1990 = X.   Total cost in 1990 = 200X   Now Price in 1992 = 2/3 * 200X = 400/3 * X   Now price in 1995 = 1/3 *200X= 200/3X   %Change in 1995 from 1992 = [(400/3* X -200/3X) / (400/3 *X) ] *100 = 50%   Answer 50%
Answer: D
The numerator of a fraction is 1 less than twice the denominator. If the numerator and denominator are both increased by 1, the fraction becomes 4/5. Find the fraction? Choose the correct choice from the following options
A) A)2/3
B) B)3/5
C) C)7/4
D) D)5/9
E) of these

Solution: Let the numerator and denominator of the fraction be 'n' and 'd' respectively.   n = 2d - 1   (n + 1)/(d + 1) = 4/5   5n + 5 = 4d + 4   5(2d-1) + 5 = 4d + 4 => d = 4   n = 2d - 1 => n = 7   Hence the fraction is : 7/4   ANSWER:7/4
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 42, the how old is B?	Choices:
A) 16	B) 9	C) 8	D) 11	E) 10

Solution: Explanation:   Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 42   ⇒ 5x = 40   ⇒ x = 8.   Hence, B's age = 2x = 16 years.   16nswer: 16
Answer: A
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?	Select
A) 87 Kmph	B) 68 Kmph	C) 54 Kmph	D) 15 Kmph	E) 12 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68 Kmph
Answer: B
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and five times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? Pick.
A) 9  B) 10  C) 18  D) 24  E) 21

Solution: E.   Let number of quarters be q. Therefore , dimes are 3q and nickels are 18q.   Total value = 15q(.05) + 3q(0.1) + .25q =1.3q   Given total value = 10.15   therefore, 1.3q=10.15 or q=8   Number of dimes = 3q or 24   Answer : 24
Answer: D
A train running at the speed of 40 km/hr crosses a pole in 9 seconds. What is the length of the train? Pick:	A) 120 metres	B) 180 metres	C) 324 metres	D) 150 metres	E) 100 meters

Solution: Speed=40 x5/18m/sec=100/9	m/sec.   Length of the train = (Speed x Time).   Length of the train =	100/9 x 9m = 100 m.   ANSW100 metersR:100 meters
Answer: E
To reach her destination, Jeanette must drive 90 miles. If she drives 5 miles every 9 minutes, how much time will it take her to reach her destination?	Choose the correct choice.
A) 2 hours and 2 minutes	B) 2 hours and 42 minutes	C) 2 hours and 10 minutes	D) 2 hours and 12 minutes	E) 2 hours and 15 minutes

Solution: 9 minute for 5 miles how much for 90? minutes for 1(9/5) mile multiplied by 90 miles.   9*90/5= 
9*90/5 = 162
162> 2 hours 42 min answer is 2 hours and 42 minutes
Answer: B
For the positive integers x, x + 2, x + 4, x + 7, and x + 37, the mean is how much greater than the median?	Choose the correct choice from the following answers
A) 6	B) 1	C) 2	D) 4	E) 7

Solution: Mean = (x + x+2 + x+4 + x+7 + x+37)/5   =(5x+50)/5   =x+10   Median = x+4   Thus Mean - Median = x+10 - (x+4)   =6   6nswer +10 - ( +4)= 
+10 - ( +4) = 6
6   6nswer= 6
Answer: A
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is  Choose the correct choice.
A) 1/2  B) 2/3  C) 3/5  D) 3/7  E) 4/9

Solution: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2   1/2ns.(1/2)
Answer: A
In how many different ways can the letters of the word ‘PROBE’ be arranged ?  Choose one
A) 120
B) 130
C) 150
D) 110
E) 160

Solution: 120   120   Required number of arrangements = 5! = 120
Answer: A
Statement : Company X has marketed the product. Go ahead, purchase it if price and quality are your considerations.
Conclusions :
I. The product must be good in quality.
II. The price of product must be reasonable.  Choose the correct answer
A) I only
B) II only
C) I and II only
D) I and III only
E) II and III only

Solution: Explanation:   Both conclusions follow as per statement.   Option I and II only
Answer: C
If Nick gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Nick's current weight?  Choose the correct choice from the following choices
A) 140 B) 160 C) 170 D) 190 E) 200

Solution: Given: N+B = 340   N+10 = 1.5B   N+B = 340   Add 10 to both sides   (N+10) + B = 350   2.5B = 350   B = 140   N = 200   Correct answer is 200
Answer: E
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?  Pick one:
A) 233
B) 877
C) 100
D) 286
E) 181

Solution: Explanation:   MP = 100   100P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   Answer:100
Answer: C
A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :  Choose the most appropriate option:
A) 2348 B) 7250 C) 2767 D) 1998 E) 2771

Solution: Explanation:   A 7250 C   investment 3x 4x 5x   Rate of return 6y% 5y% 4y%   Return \inline \frac{18xy}{100} \inline \frac{20xy}{100} \inline \frac{20xy}{100}   Total = (18+20+20)= 
(18+20+20) = 58
\inline \frac{58xy}{100}   7250's earnings - A's earnings= \inline \frac{2xy}{100} = 250   Total earning = \inline \frac{58xy}{100} = 7250   Answer: 7250) Rs.7250
Answer: B