MU-NLPC/Calc-aqua_rat huggingface dataset:
A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 50 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?  Options.
A) −5%  B) 5%  C) 15%  D) 20%  E) 80%

Solution: Assume the broker invested $100.   After year 1 (50% increase in wealth): $100 * 0.5= 
100 * 0.5 = 50
$50 increase + $100= $150   After year 2 (30% decrease in wealth): $150 * 0.3= 
150 * 0.3 = 45
$45; $150 - $45 decrease = $105   Net increase 150 -  45= 
150 -  45 = 105
$105   Net increase= $105/$100 - 1 = 5%   Answer is 5%.
Answer: B
Four consecutive traffic signals each show either red or green. How many different arrangements of the four signals are possible?	Choose the correct answer:	A) 16	B) 9	C) 8	D) 7	E) 6

Solution: Since the answer choices to the question are so small (relatively speaking), you can get to the correct answer without having to do any fancy calculations. With a drawing and a bit of 'brute force', you can answer this question relatively quickly.   We're told that 4 consecutive traffic signals each show either red or green. We're asked how many different arrangements of the 4 signals are possible.   Total Options: 16   Final 16nswer:   16
Answer: A
If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =
Choices:	A) –16	B) –11	C) –4	D) 4	E) 16

Solution: The quickest (rather only) way is to apply the given formula:   2*(-3) = 2*(-3) - 2 (2 + (-3) ) = -6 +2 = -4   Option (–4)
Answer: C
Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?	Choose the correct choice from the following answers.
A) 387 B) 736 C) 300 D) 345 E) 635

Solution: 1/2:1/3:1/4 = 6:4:3   3/13*1300= 
3/13*1300 = 300
300   Answer:300
Answer: C
The average expenditure of a labourer for 6 months was 90 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i  Choose the correct choice from the following answers.
A) 70
B) 72
C) 75
D) 78
E) 81

Solution: Income of 6 months = (6 × 90) – debt   = 540 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 810   Average monthly income = 810 ÷ 10 = 81   Answer 81
Answer: E
A large field of 900 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?	Pick one:
A) 435 hectares.
B) 425 hectares.
C) 445 hectares.
D) 415 hectares.
E) 405 hectares.

Solution: Let the areas of the parts be x hectares and (900 - x) hectares.   Difference of the areas of the two parts = x - (900 - x) = 2x - 900   one-fifth of the average of the two areas = 1/5[x+(900−x)]/2   = 1/5 × (900/2)= 
(900/2) = 450
450/5= 
450/5 = 90
90   Given that difference of the areas of the two parts= one-fifth of the average of the two areas   => 2x - 900 = 90   => 2x = 990   ⇒ x = 990/2= 
990/2 = 495
495   Hence, area of smaller part= (900 - x) = (900 – 495) = 405 hectares.   Answer is 405 hectares..
Answer: E
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number Q of people surveyed by the company?  Choose the correct choice from the following
A) 46  B) Q.80  C) Q.90  D) Q.100  E) 200

Solution: 100 = x + x - 20 + 23 - 23   x = 60,   So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%   23% of the total no. of people should be an integer. So, A,BC are out.   60% of D and 40% of D are both integers. So, D satisfies all conditions.   So, answer is Q.100.
Answer: D
If the average of 6 digits is 16 and the average of 4 of them is 10, calculate the average of the remaining 2 numbers?
Choose the correct choice from the following
A) 36  B) 35  C) 28  D) 33  E) 21

Solution: Explanation:   Total of the 6 digits - 6*16 = 96   Total of the 4 digits - 4*10 = 40   Total of the remaining 2 digits - 96-40 = 56   average of the remaining 2 numbers = 56/2= 
56/2 = 28
28   ANSWER: 28
Answer: C
32% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
Choose the correct choice
A) 25 B) 30 C) 50 D) 55 E) 80

Solution: I came up with (E) 80   Think of 100 people total:   From the first fact, 32 of these are women with fair hair.   From the second fact, these 30 women make up 40% of the total fair haired population.   We can then make a ratio of 60:40 fair haired men to fair haired women.   This means that (60/40)*32 equals the number of fair haired men, which is 48 men with fair hair.   Add this 48 to the 32 women and get 80 fair haired men and women out of 100 total men and women.   80%   80
Answer: E
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?  Answers: A) (3, 7) B) (-8, 4) C) (5, -8) D) (-2, 10) E) (-5, -5)

Solution: The area of the triangle formed will be:   1/2 * base * height =   1/2 * |(X-coordinate of point (5, -8))| * |(Y-coordinate of point (5, -8))| = 20   Thus |product of coordinates of point (5, -8)| = 40   The answer is (5, -8).
Answer: C
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get? Options:
A) 1200  B) 2000  C) 1600  D) 1500  E) 2500

Solution: Explanation:   Let Peter’s share be x.   Hence, David gets x/4 and Alex gets x/2.   x + x/4 + x/2 = 2800   7x/4 = 2800   x = Rs.1600   ANSWER: 1600
Answer: C
The average of four consecutive even numbers is 27. Find the largest of these
numbers.	Choose the correct choice from the following options:
A) 29
B) 25
C) 32
D) 30
E) 27

Solution: Let the four consecutive even numbers be x, x + 2, x + 4 and x + 6.   Then, sum of these numbers = (27 x 4) = 108.   So, x + (x + 2) + (x + 4) + (x + 6) = 108 or 4x = 96 or x = 24.   :. Largest number = (x + 6) = 30.   Answer is 30.
Answer: D
A can complete a work in 18days and B can do the same work in 10days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work? Choose the most appropriate option.
A) 2days	B) 8days	C) 6days	D) 7days	E) 10days

Solution: The required answer = (18-3)*5 / 18 = 150/18 = 8days   Answer is 8days
Answer: B
If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?	Choose the correct choice from the following:
A) 2
B) 3
C) 6
D) 12
E) 24

Solution: 108 can written as = 2 * 2 * 3 * 3 * 3 --> 2^2* 3^3 ---(1)   so for 108 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.   here 2 already has even power -> So n has to be 2 to make the power of 2 in (1) even   Option 2 is correct
Answer: A
A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Select
A) 3/4	B) 5/11	C) 1/7	D) 1/8	E) 4/3

Solution: Let number of balls = (6 + 5)= 
(6 + 5) = 11
11.   Number of white balls= 5   P (drawing a white ball) =5/11   Option 5/11.
Answer: B
If p and r are integers, and p^2 = 20r, then r must be divisible by which of the following?  Pick.
A) 2 B) 4 C) 5 D) 7 E) 14

Solution: Ans: D   Solution: for p to be an int 20 r must be whole square of a number.   20r= 5*2*2*r   to make it whole square we need 5   so r can must be divisible by 5y where y is itself a whole square.   so 5 is the ans
Answer: C
The difference between the weights of two girls is 10 kgs. Five years ago, the heavier one was twice as heavy as the lighter one. The present age of the heavier person is	Choose the correct choice from the following answers:
A) 15kg
B) 10kg
C) 20kg
D) 25kg
E) 30kg

Solution: Let their weights of x kgs and (x + 10) kgs respectively.   Then, (x + 10) - 5 = 2(x - 5)   ⇔ x +5= 2x - 10   ⇔ 3x = 15   ∴ Present weight of the heavier person = (5 + 10)= 
(5 + 10) = 15
15kgs.   15kgnswer :15kgs
Answer: A
If 25 men do a work in 96 days, in how many days will 40 men do it?  Select the correct option.
A) 66 B) 53 C) 55 D) 60 E) 61

Solution: 25 * 96 = 40 * x   x = 60 days   Answer: 60
Answer: D
Four different children have jelly beans: Aaron has 7, Bianca has 7, Callie has 8, and Dante has 11. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?	Answers:	A) 2	B) 3	C) 4	D) 5	E) 6

Solution: Since Bianca and Callie are both within 1 jelly bean of each other and Aaron has 5, Dante must provide 3 of his 11 jelly beans so each child has no more than 1 fewer jelly bean than any other child.   Dante + Aaron = 11+7= 
11+7 = 18
18/2= 
18/2 = 9
9   11-9= 
11-9 = 2
2 so Dante must provide 3 jelly beans to Aaron.   2nswer (2)
Answer: A
The ratio between the number of sheep and the number of horses at the Stewar farm is 3 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form?? Select
A) 24  B) 28  C) 32  D) 56  E) 58

Solution: et no of sheep and horses are 3k and 7k   no of horses= 12880/230= 
12880/230 = 56
56   now 7K=56 and k=8   no of sheep=(3*8)= 
(3*8) = 24
24   24NSWER:24
Answer: A
On average, the bottle-nosed dolphin comes up for air once every two minutes; the beluga whale, a close relative, comes up for air on average once every five minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?	Choose one:
A) 50%	B) 100%	C) 150%	D) 200%	E) 250%

Solution: Soln;-   30∗24−12∗24/12∗24=30−12/12=18/1230∗24−12∗24/12∗24=30−12/12=18/12   So 150%, Answer is 150%.
Answer: C
Set A consists of all the prime numbers between 12 and 32. What is the range of set A?  Choose the correct option:
A) 12
B) 18
C) 16.6
D) 17
E) 23

Solution: The range of a set of data is the difference between the highest and lowest values in the set   In this set,   Highest number = 31   Lowest number = 13   Range = Highest - Lowest = 31 - 13= 
31 - 13 = 18
18   Option 18
Answer: B
12.5 * 3.2 * 6.8 = ?  Options:
A) 352  B) 272  C) 224  D) 646  E) 742

Solution: 272   272   ? = 12.5 * 3.2 * 6.8 = 352
Answer: B
By how much is three-fifth of 250 greater than four- seventh of 210 ?  Options:  A) 30  B) 110  C) 25  D) None of these  E) Cannot be determined

Solution: Solution   3/5of 250 - 4/7of 210 = 60.   30nswer 30
Answer: A
Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Pick:	A) 187	B) 187	C) 300	D) 176	E) 158

Solution: 1/2:1/3:1/4   = 6:4:3   3/13*1300= 
3/13*1300 = 300
300   Answer: 300
Answer: C
One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 3 robots altogether, if the robots build only one robot at a time?  Choose the correct choice from the following choices:
A) 40 min  B) 94 min  C) 110 min  D) 112 min  E) 120 min

Solution: First the 2 robots work at the rate of   1 + 1/2 = 3/2   so they complete one robot in 2/3 rd of an hour = 40 minutes - (1)   40 minnd now we have 3 robots in 40 minutes   40 minnswer -40 min
Answer: A
In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/7 fewer votes than Z. If Z received 21,000 votes how many votes did candidate X received?  Choose the most appropriate option:
A) 18000
B) 22000
C) 24000
D) 26000
E) 32000

Solution: Z=21 --> Y received 1/7 fewer votes than Z --> Y=Z-1/7*Z=18;   X received 1/3 more votes than Y --> X=Y+1/3*Y=24.   Answer: 24000.
Answer: C
There are n cities. What is the number of airlines that connected 4 different cities (airline from city A to city B is different with airline from city B to city A)?
Choose the correct answer.
A) n(n-1)  B) n(n-3)  C) n(n-1)/2  D) n(n+1)/2  E) n2

Solution: First of all, the possible number of airlines is n. Then, the possible number of airlines departing from one city to another becomes (n-3). Hence, the answer is n(n-3), which makes A an answer choice.   n(n-3)
Answer: B
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 36 years now, the son's age five years back was:	Pick one.
A) 13  B) 17  C) 19  D) 22  E) 24

Solution: Let the son's present age be x years. Then, (36 - x) = x   2x = 36.   x = 18.   Son's age 5 years back (18 - 5)= 
(18 - 5) = 13
13 years.   answer :13
Answer: A
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?	Choose the correct choice from the following options:
A) 20:15:15 B) 20:15:10 C) 20:15:12 D) 20:15:11 E) 20:15:13

Solution: 6A = 8B = 10 20:15:12   A:B:20:15:12 = 1/6:1/8:1/10   = 20:15:12.Answer: 20:15:12
Answer: C
25 * 25* 25 * 25 * 25 = 5^ ?  Choices
A) 4 B) 6 C) 5 D) 3 E) 10

Solution: Solution:   5^2 * 5^2 * 5^2 * 5^2 * 5^2 = 5 ^(2+2+2+2+2) = 5^10   Answer : 10
Answer: E
Three numbers A,B,Care in ratio 1:2:3. Their average is 600. If A is increased by 10% and B is increased by 20%, then to get the average increased by 5%, C will increased by:  Choices.
A) 90
B) 100
C) 150
D) 180
E) 190

Solution: Let be A= x, B=2x, and C=3x.   (x+2x+3x)/3=600   this will be x=300   so, the numbers will be 300,600,900   new average= 105%of 600= 630   Let 110% of 300+80% of 600 + y= 630*3   solve it for y, you will get, y=1080   so, increase in C= 1080-900= 
1080-900 = 180
180 ans   ANSWER:180
Answer: D
Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank?
Choose the most appropriate option.
A) 33
B) 53
C) 73
D) 93
E) 83

Solution: Explanation: This is a simple subtraction series in which a random number, 93, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next.   Answer: Option 53
Answer: B
A boy has eight trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choose the correct answer.
A) 88
B) 96
C) 106
D) 108
E) 111

Solution: Explanation:   The boy can select one trouser in eight ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   8 * 12= 
  8 * 12 = 96
96 ways   96)
Answer: B
How many numbers from 10 to 31 are exactly divisible by 3?
Choose the correct choice from the following answers:
A) 13 B) 15 C) 16 D) 7 E) 18

Solution: 12, 15, 18, 21, 24, 27, 30.   7 Numbers.   10/3 = 3 and 31/3 = 10 ==> 10 - 3= 
10 - 3 = 7
7. Therefore 7 digits   7)
Answer: D
Kim purchased n items from a catalog for $5 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?	Choose the correct choice from the following answers:
A) 8n + 2
B) 8n + 4
C) 6n + 2
D) 6n + 3
E) 6n + 4

Solution: its 6n + 2   n items for $5 each   total price $5n   postage and handling of $3 for 1st item and $1 for the rest   total postage and handling = $ [3+ (n-1)]   = $ n+2   total cost   5n+n+2 = 6n+2
Answer: C
A bag contains 9 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is Choose the correct choice from the following answers
A) 8/17 B) 2/5 C) 3/5 D) 11/15 E) 7/15

Solution: Drawing two balls of same color from nine green balls can be done in 9C₂ ways.   Similarly from eight white balls two can be drawn in ⁸C₂ ways.   P = 9C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 8/17   8/17NSWER:8/17
Answer: A
A certain office supply store stocks 2 sizes of self-stick notepads, each in 3 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choose the correct choice from the following answers
A) 6  B) 8  C) 16  D) 24  E) 32

Solution: Notepads of the same color = 3 (we have 3 colors). As we have two sizes then total for the same color=3*2= 
3*2 = 6
6   Notepads of the different colors= 3C3=1 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=1*2= 
1*2 = 2
2   Total=6+2= 
6+2 = 8
8   Answer: 8.
Answer: B
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? Choose the correct choice from the following answers: A) 2999 B) 2787 C) 2097 D) 9680 E) 2886

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}2   = Rs.9680   Answer: 9680
Answer: D
A reduction of 48% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choose the most appropriate option.
A) 2.6	B) 8.6	C) 7.6	D) 3.6	E) 1.6

Solution: Explanation:   40*(48/100)= 
40*(48/100) = 96/5 = around 19.2
19.2 --- 64   ? --- 12=> Rs.3.6   Answer: 3.6
Answer: D
A merchant marks his goods up by 30% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?	Select:	A) 8%	B) 10%	C) 21%	D) 15%	E) 4%

Solution: Let the price be 100.   The price becomes 130 after a 30% markup.   Now a discount of 20% on 130.   Profit=104-100   4%   answer 4%
Answer: E
The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers, what is the last of these numbers?  Choose the correct choice from the following:
A) 17
B) 19
C) 15
D) Data inadequate
E) None of these

Solution: Let the three consecutive odd numbers be   x – 2, x, x + 2 respectively.   According to question,   x=x−2/3+14   ∴ 3x – x + 2 = 42 ⇒ 2x = 40   ∴ x = 20 = an even number, which goes against our supposition.   Answer Data inadequate
Answer: D
Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?  Choose the correct choice from the following options:
A) 10
B) 50
C) 30
D) 40
E) 20

Solution: Suppose Mr. Bhaskar is on tour for x days. Then,   = 360/x - 360/x+4 = 3 <=> 1/x - 1/x+4   = 1/120 x(x+4) =4 x 120 =480   <=>x2 +4x –480 = 0 <=> (x+24) (x-20) = 0   <=> x =20.   Hence Mr. Bhaskar is on tour for 20 days.   Answer is 20.
Answer: E
A bag contains eight white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choose the correct option:  A) 5/8  B) 16/33  C) 25/63  D) 15/33  E) 5/1

Solution: Two balls can be picked from twelve balls in 12Câ‚‚ ways.   We select one white ball and one red ball from five white balls and four red balls. This can be done âµ ways.   The required probability = (8 * 4)= 
(8 * 4) = 32
32/66= 16/33   Answer: 16/33
Answer: B
If all 6 are replaced by 9,the algebric sum of all numbers from 1 to 100 (both inclusive)varies by,	Choose the correct choice:
A) 980
B) 330
C) 660
D) 990
E) 300

Solution: 6,16,26,36,46,56,76,86,96 replace by 9 then 3*9= 
3*9 = 27
27   60,61,62,63,64,65,66,67,68,69 then increase by 30 i.e, 30*10=300+3   99-66= 
99-66 = 33
33-30   It will be 330   ANSWER:330
Answer: B
A small family consisting of 4 ( father , mother , son , daughter ) goes to a photo studio . Father says to the photographer , " I need all the possible photographs of our family " . how many pictures can he take , such that at least one person should be there in the photo
Choose the correct choice from the following answers
A) 61
B) 62
C) 63
D) 64
E) 65

Solution: 4C1+4C2+4C3+4C4=15.   If their positions also takes into consideration then the ans will be 64   ANSWER:64
Answer: D
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
Choose the correct choice from the following choices:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Solution   Suppose B joined after x months.   Then,	21000×12=36000×(12 - x)   ‹=›36x=180   = x= 5.   Answer 5
Answer: C
On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?	Choose the correct choice from the following answers
A) 120  B) 10%  C) 93%  D) 84%  E) None of these

Solution: Explanation:   Difference in C.I. and S.I for 2 years = (696.30 - 660) = Rs. 36.30.   S.I for one year = Rs. 330.   S.I. on Rs. 330 for 1 year = Rs. 36.30   Rate = (100 * 36.30)/(330 * 1)= 
(100 * 36.30)/(330 * 1) = 11
11%   Answer: Option None of these
Answer: E
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Choose the correct answer:  A) A and B  B) A and E  C) A,C,E  D) All of them  E) None of them

Solution: There are 10 equidistant numbers on the number line.   Mean and median will be the average of middle two numbers.   If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.   Here answer will be (A and E).
Answer: B
It takes David 30 minutes to walk to the car park and 60 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?	Choose the correct choice
A) 7:30 a.m  B) 5:50 a.m  C) 7:50 a.m  D) 6:50 a.m  E) 9:50 a.m

Solution: The time it takes David to get to work: time to walk to car park + time to drive     30 + 60= 
  30 + 60 = 90
90 minutes= 1 hour and 30 minutes   David needs to get out of the house 1 hour and 30 minutes before 9:00 am at   9:00 - 1:30 = 7:30 a.m   correct answer 7:30 a.m
Answer: A
The population of a town increases 25% and 30% respectively in two consecutive years. After the growth the present population of the town is 1950. Then what is the population of the town 2 years ago? Choose the correct option.
A) A)800
B) B)900
C) C)1000
D) D)1100
E) E)1200

Solution: 1200xplanation:   Formula: (After =100 denominator   Ago = 100 numerator)   1950 * 100/125 * 100/130= 
1950 * 100/125 * 100/130 = 1_200
1200   Answer: Option 1200
Answer: E
If you cut a 16ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
Choose the correct choice from the following:
A) 4ft  B) 6ft  C) 8ft  D) 10ft  E) 12ft

Solution: Total length is 16ft, one piece is 4ft longer (x+4), leaving the other piece to figure out (x).   (x)+ (x+4)=16   x+x+4-4=16-4   2x=12   2x/2=12/2= 
12/2 = 6
6   The piece is 6ft) 6ft.
Answer: B
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is two times longer. If Ferry P is slower than Ferry Q by 4 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P?	Choose the correct option: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: The distance traveled by Ferry P is 24 km.   Then the distance traveled by Ferry Q is 48 km. Ferry Q travels at a speed of 12 kph. The time of the journey for Ferry Q is  48/12= 
 48/12 = 4
4 hours, which is 1 hour more than Ferry P. The answer is 1.
Answer: A