MU-NLPC/Calc-aqua_rat huggingface dataset:
Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45
The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 19 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami? Choose the correct choice from the following:  A) 4  B) 6  C) 9  D) 10  E) 20

Solution: Based on the original number of shares, the range would be: 112 - 45= 
112 - 45 = 67
67   However, the prompt tells us that two of the values in the table are going to change. After the changes, the values will be:   V 68   W 112   X 36   Y 113   Z 45   Now the range is   113 - 36= 
  113 - 36 = 77
77   The INCREASE in the range requires us to compare thenewrange to theoldrange:   77 - 67= 
  77 - 67 = 10
10   10
Answer: D
360 metres long yard, 31 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choose the correct choice:  A) 10  B) 12  C) 14  D) 16  E) 17

Solution: 31 trees have 30 gaps between them,   Required distance (360/30)= 
(360/30) = 12
12   12
Answer: B
The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Select.
A) 2	B) 5	C) 8	D) 9	E) 10

Solution: Let the boys are X, then girls are 7X, total = X+7X = 8X   So it should be multiple of 8, 30 is not a multiple of 8.   8
Answer: C
Find the value of x from the below equation? : 3x^2+5x+2 = 0 Pick:	A) -1	B) 1	C) -2	D) 2	E) 3

Solution: a = 3, b = 5, c = 2   x1,2 = (-5 ± √(52 - 4×3×2)) / (2×3) = (-5 ± √(25-24)) / 6 = (-5 ± 1) / 6   x1 = (-5 + 1)/6 = -4/6 = -2/3   x2 = (-5 - 1)/6 = -6/6 = -1   -1
Answer: A
A 360 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ? Choose the correct choice:
A) 57.6 sec
B) 20.2 sec
C) 31.8 sec
D) 50.4 sec
E) none of the above

Solution: Speed = 55 Km/hr   (to convert km/hr in to M/s)   = 55 x 5/18 M/s   Distance = 360 m + 520 m ( If questions is about train crossing a post you need to consider only the length of Train, )   = 880 m   Time = Distance / Speed   = 880 x 18 / (5 x 55)   = 57.6 sec   57.6 secns is :57.6 sec
Answer: A
Two brothers A and B leave point A and point B simultaneously and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long will B take to cover the entire journey between Point B and point A?  Choose the correct choice from the following options
A) 65
B) 70
C) 75
D) 90
E) 80

Solution: Let x per minute be the speed of A and y per minute be the speed of B.   After meeting at a point, A travels for 32 mins and B travels for 50 mins. So distance covered by each of them post point of crossing   A= 32x and B=50y   The distance covered by A and B before they cross each would be distance covered by B and A post crossing respectively.   Therefore distance covered by B before he meets A= 32x   Time taken by B cover 32x distance= 32x/y mins   Therefore total time taken by B= 32x/y + 50 mins ................. I   We need to find value of x in terms of y to arrive at final answer.   Total distance= 32x+50y   Combined speed of A and B= x+y   Therefore time taken before A and B meet en-route= (32x+50y)/(x+y)   Time taken by B reach destination after meeting A= 50 mins   Total travel time for B= [(32x+50y)/(x+y)]+50 mins ...................II   Equate I and II   32x/y+50= [(32x+50y)/(x+y)]+50   (32x+50y)/y=(82x+100y)/(x+y)   32x^2+50xy+32xy+50y^2=82xy+100y^2   32x^2+82xy-82xy+50y^2-100y^2=0   32x^2-50y^2=0   32x^2=50y^2   16x^2=25y^2   Taking square root.. (since x and y denote speed, square root can't be negative)   4x=5y   y=4x/5 ............ III   substitute in I   =32x/(4x/5) + 50   =32x*5/4x + 50   =40+50= 
40+50 = 90
90 mins   90
Answer: D
An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of: Choose the correct choice from the following options.
A) Rs 219
B) Rs 220
C) Rs 20²
D) Rs 20
E) Rs 30

Solution: 2nd day he earns = 2 = 2(2 – 1)   3rd day he earns = 2(3 – 1)   On 20th day he earns 2(20 -1) = 219 rupees   Rs 219NSWER:Rs 219
Answer: A
In the reading room of a library, there are 23 reading spots. Each reading spot
consists of a round table with 9 chairs placed around it. There are some readers such
that in each occupied reading spot there are different numbers of readers. If in all there
are 36 readers, how many reading spots do not have even a single reader?  Choose one.
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: 1+2+3+4+5+6+7+8= 
1+2+3+4+5+6+7+8 = 36
36   so, 8 spots are occupied by users    23-8= 
 23-8 = 15
15   ANSWER:15
Answer: D
A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be Options
A) 11 kmph  B) 12 kmph  C) 14 kmph  D) 17 kmph  E) 19 kmph

Solution: Explanation:   If you solved this question yourself, then trust me you have a all very clear with the basics of this chapter.   If not then lets solve this together.   Speed with current is 20,   speed of the man + It is speed of the current   Speed in still water = 20 - 3= 
20 - 3 = 17
17   Now speed against the current will be   speed of the man - speed of the current= 17 - 3= 
17 - 3 = 14
14 kmph   ANSWER IS 14 kmph
Answer: C
How many of the positive factors of 42 , 104 and how many common factors are there in numbers? Choices:	A) 4	B) 2	C) 3	D) 5	E) 1

Solution: factors of 42 - 1,2,3,6,7,14,21,42   factors of 104 - 1,2,4,8,13,26,52,104   Comparing both, we have two common factors of 40 and 104- 1,2,   Answer(2)
Answer: B
Kim has 8 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?  Answers.
A) 2/5	B) 1/5	C) 1/9	D) 1/10	E) 1/15

Solution: Total pairs = 16C2 = 120; Same Color Pairs= 8C1*1C1=8; Prob = 1/15   Ans 1/15
Answer: E
Evaluate permutation equation
59P3
Choose the correct choice.
A) 195052
B) 195053
C) 195054
D) 185054
E) None of these

Solution: Explanation:   nPr=n!/(n−r)!   59P3=59!/(56)!   =59∗58∗57∗56!/(56)!=195054   Option 195054
Answer: C
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 65 percent.
Choose the correct choice:
A) 145
B) 150
C) 195
D) 160
E) 130

Solution: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 65 percent 195 min.Answer:195
Answer: C
Find the invalid no.from the following series 15 46 63 71 75 77 78	Select.
A) 15  B) 46  C) 75  D) 77  E) 78

Solution: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.   46
Answer: B
A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.
Answers:
A) 150
B) 188
C) 250
D) 288
E) 300

Solution: Speed = 50*(5/18) m/sec = 125/9 m/sec   Length of Train (Distance) = Speed * Time     (125/9) * 18= 
  (125/9) * 18 = 250
250 meter   Answer: 250
Answer: C
Find the number of factors of 300 excluding 1 and itself.
Choose the most appropriate option.
A) 18  B) 17  C) 16  D) 14  E) 12

Solution: 300 = 4.75 = 4.25.3 = 22.52.31   Number of factors of 300 = (2 + 1)(2 + 1)(1 + 1) = 18.   There are 16 factors of 300 excluding 1 and itself.   ANSWER:16
Answer: C
The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students? Choose the correct choice from the following: A) 52.6 B) 52.4 C) 52.1 D) 57 E) 52.9

Solution: Sum of the marks for the class of 35 students = 35 * 45= 
35 * 45 = 1_575
1575   Sum of the marks for the class of 55 students= 55 * 65= 
55 * 65 = 3_575
3575   Sum of the marks for the class of 90 students=   1575 + 3575= 
1575 + 3575 = 5_150
5150   Average marks of all the students= 5150/90 = 57.Answer: 57
Answer: D
The average of five results is 46 and that of the first four is 45. The fifth result is? Choose the correct choice from the following answers
A) 23
B) 27
C) 21
D) 50
E) 23

Solution: 5 * 46 – 4 * 45   = 50   Answer: 50
Answer: D
Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 9 hours. How long would it take for both hoses to fill up two-thirds of the pool? Answers.
A) 5/12 hours
B) 5/8 hours
C) 8/5 hours
D) 12/7 hours
E) 12/5 hours

Solution: Hose 1 would fill the pool alone in 6 hours   i.e. 1 Hour work of Hose 1 = 1/6   Hose 2 would fill the pool alone in 9 hours   i.e. 1 Hour work of Hose 2 = 1/9   i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/9) = (5/18)   i.e. (5/18) work can be finished by Hose1 and Hose2 together in 1 hour   i.e. (2/3) work can be finished by Hose1 and Hose2 together in 1*(18/5)*(2/3) = 12/5 hour   Answer: Option 12/5 hours
Answer: E
The smallest ratio out of 1:1, 2:1, 1:3,4:1 and 3:1 is?
Pick:
A) 1:1  B) 1:3  C) 2:1  D) 3:1  E) 4:1

Solution: 1/1= 
1/1 = 1
1   1/3=0.333   2/1= 
2/1 = 2
2   3/1= 
3/1 = 3
3   4/1= 
4/1 = 4
4   ANSWER:1:3
Answer: B
The area of a square is 4489 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.  Choose the most appropriate option.
A) 5:28
B) 5:19
C) 5:12
D) 5:13
E) 43:134

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4489   a = 67   L = 2a and b = a - 24   b : l = a - 24 : 2a = 43 : 134   Answer:43:134
Answer: E
5^2*2^2*5*2^4 =  Answers:
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 5^8
E) 6^10

Solution: 5^2*2^2*5*2^4 =   A) 3^5*2^5   B) 2^9*3^4   C) 2^4*3^9   D) 5^8   E) 2^6*5^3   If the base is same, powers are added so that follows A) 3^5*2^5.   Hence the answer is 6^10
Answer: E
A can complete a project in 10 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?  Answers
A) 18 days
B) 15 days
C) 26.67 days
D) 16 days
E) 12 days

Solution: Let X = the number of days taken to complete the project.   The amount of work done by A is (x-10) * (1/20).   The amount of work done by B is (x) * (1/30).   (1/10)*(x-10) + (1/30)*(x) = 1   (x/10) + (x/30) - 1) = 1   4x/30 = 2   x = 15   Therefore, the answer is 15 days: 15.
Answer: B
A and B go around a circular track of length 1500 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?	Choose the correct choice from the following choices:
A) 120 sec
B) 165 sec
C) 300 sec
D) 167 sec
E) 168 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 1500/ (36 * 5/18) , 1500/ (54 * 5 /18) }   = LCM (150, 100)   =300sec.   Answer:300 sec
Answer: C
In a country there are 2 hospitals for every 1000 citizens. If there are 50,000 citizens, how many hospitals are there in that country?
Choose one
A) 50	B) 100	C) 60	D) 75	E) 80

Solution: 2/1000=x/50,000   x=100   Answer is 100
Answer: B
A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?  Choose the most appropriate option
A) 2 B) 7 C) 8 D) 9 E) 3

Solution: Explanation:   Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.   or 137 + x = 144 or x = 144 - 137= 
144 - 137 = 7
7.   Answer: 7) 7
Answer: B
A student has to obtain 35% of the total marks to pass. He got 100 marks and failed by 40 marks. The maximum marks are? Choices.
A) 280  B) 400  C) 420  D) 480  E) 520

Solution: Let the maximum marks be x   Then, 35% of x = 100+40   35x/100 = 140   35x= 140*100= 
140*100 = 14_000
14000   x= 400   Answer is 400
Answer: B
A rectangular-shaped carpet that measures x feet by y feet is priced at $24. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choose the correct choice
A) 180xy  B) 216/(xy)  C) 20xy  D) 20xy/9  E) xy/180

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 24 / (xy/9) = 216/(xy).   The answer is 216/(xy).
Answer: B
What is the remainder when 3^86 is divided by 5 ?
Choose the correct choice from the following:
A) 1
B) 2
C) 4
D) 0
E) 3

Solution: 3^0 = 1   3^1 = 3   3^2 = 9   3^3 = 27   3^4 = ...1   3^5 = ....3   3^6 = ......9   and so on.   86/4 = 21 (with a remainder 2) so the last number is a 9.   so when 3^86 is divided by 5 the remainder is 4, ANS = 4
Answer: C
‘A’ completes a work in 12 days. ‘B’ completes the same work in 15 days. ‘A’ started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?
Choose the correct choice from the following options
A) 5
B) 8
C) 6
D) 4
E) None of these

Solution: Work done by ‘5’ in 3 days   = 1⁄12 × 3 = 1⁄4   ∴ Remaining work = 1 - 1⁄4 = 3⁄4   Work done by 5 and B together = 12×15/27=20/3   ∴ Remaining work done by 5 and B together in   = 3⁄4 × 20⁄3 = 5 days   5nswer 5
Answer: A
The average of 10 numbers is 23. If each number is increased by 1, what will the new average be?	Choose the correct choice from the following answers
A) 36
B) 24
C) 72
D) 29
E) 22

Solution: Sum of the 10 numbers = 230   If each number is increased by 1, the total increase =   1 * 10= 
1 * 10 = 10
10   The new sum= 230 + 10= 
230 + 10 = 240
240 The new average= 240/10= 
240/10 = 24
24.   Answer:24
Answer: B
Jaya purchase 13 jars in a store then she returned 5 jars to store .Now how many jars she had?  Choose the correct choice from the following answers:
A) A)5  B) B)11  C) C)19  D) D)8  E) E)4

Solution: 13-5= 
13-5 = 8
8. Answer is 8
Answer: D
A certain tax rate is $.62 per $100.00. What is the rate, expressed as a percent?	Choose the correct choice
A) 62%	B) 6.2%	C) 0.62%	D) 0.062%	E) 0.0062%

Solution: Here in question it is asking $.82 is what percent of $ 100.Suppose $ .82 is x% of 100 means   100* (x/100) = .62   Hence x = .82%   So answer is 0.62%.
Answer: C
How many meters are there in 440 centimeters?
Pick one.
A) 440 meters B) 3.2 meters C) 4.4 meters D) 4.5 meters E) 4 meter

Solution: Solution:   1 meter = 100 centimeters   Just divide 440 by 100   440 Ã· 100 = 4.4, so there are 4.4 meters in 440 centimeters   Option 4.4 meters
Answer: C
You roll N (N > 1) number of M (M > 1) sided dice at once. What is the probability they will all land on the same number?	Answers
A) N/(M^N) B) M/(N^M) C) 1/(M^(N-1)) D) 1/(N^(M-1)) E) 1/(M-1)^N

Solution: The correct rolls are any M-ples: 11...1, 22...2, ..., MM...M. This is makes M possibilities. The N dice can roll M*M*...*M (M^N) number of ways. Thus the probability of landing on the same number is M/(M^N)   = 1/(M^(N-1)).   Answer: 1/(M^(N-1)).
Answer: C
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Select
A) Rs. 169.50  B) Rs. 170  C) Rs. 175.50  D) Rs. 175.50  E) None

Solution: EXPLANATION   Since first and second varieties are mixed in equal proportions.   So, their average price = Rs. (126 + 135 / 2)= Rs. 130.50   So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.   By the rule of alligation, we have:   x-153/ 22.50 =1   x – 153 = 22.50   x = 175.50   Answer Rs. 175.50
Answer: C
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Pick
A) 10	B) 11	C) 12	D) 19	E) 21

Solution: Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)   and Rupesh + 6 = | (Ravi + 6) ...(ii)   Solving both the equations we get,   Ravi = 12 years.   12
Answer: C
The General Hospital is comprised of, 3/5 Pediatricians, 1/4 Surgeons, and the rest are GP doctors. If 1/4 of the Surgeons are Heart Surgeons, and the hospital doubles the number of GP doctors, what proportion of the hospital are now Heart Surgeons?
Choose one:
A) 2/5	B) 1/4	C) 1/2	D) 1/24	E) 1/25

Solution: Ped = 3/5 = 12/20   Sur = 1/4 = 4/20   GP = 1 - (12/20 + 4/20) = 1 - 16/20 = 4/20   HSur = (1/4)(4/20) = 1/20   If GP doubled => (2)(4) = 8; then, total = 12 + 4 + 8= 
12 + 4 + 8 = 24
24,   and 1 is HSur=> proportion = 1/24.   Answer: 1/24
Answer: D
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1980 in all from both of them as interest. The rate of interest per annum is? Answers:
A) 16%	B) 12%	C) 9%	D) 10%	E) 45%

Solution: Let the rate be R% p.a. Then,   (5000 * R * 2)/100 + (3000 * R * 4)/100 = 1980   100 R + 120 R = 1980   R = 9%   Answer:9%
Answer: C
On a test average (arithmetic mean) test score for 4 students is 85. What must be 5th student's score that average score for 5 students to be 86?	Pick one:
A) 70
B) 80
C) 90
D) 100
E) 110

Solution: (4*85+x)/5=86   x=(5*86)-(4*85)   x= 430 - 340= 
430 - 340 = 90
90   90orrect answer is 90
Answer: C
How many ounces of a 60% salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50% salt?
Choose the correct option:  A) 16.67  B) 30  C) 50  D) 60.33  E) 150

Solution: let x=ounces of 60% salt solution to be added   .2*50+.6x=.5(50+x)   x=150   Answer 150
Answer: E
In how many ways can 4 boys and three girls sit in a row such that all boys sit together? Pick:
A) A)670	B) B)484	C) C)720	D) D)576	E) E)398

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again four boys can be arranged among themselves in 4! ways.   Required number of arrangements   = 4! * 4! = 24 * 24= 
24 * 24 = 576
576.   Answer:576
Answer: D
Find a a prime number the options below.
Select the correct option
A) 78
B) 80
C) 81
D) 82
E) 83

Solution: Clearly, 83 is a prime number.   83
Answer: E
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?  Choose the correct choice from the following choices:  A) 58.75 kmph  B) 68.75 kmph  C) 78.75 kmph  D) 79.75 kmph  E) 48.75 kmph

Solution: Let the distance to be travelled to catch the bus be x km   x/30 - x/35 = 30/60 => (7x - 6x)/210 = 1/2 => x = 105 km   By traavelling 30 kmph time taken = 60/30= 
60/30 = 2
2 hours   By taking 2 hours, he is late by 40 min. So, he has to cover 105 km in at most speed= 60/(4/3) = 78.75 kmph.   ANSWER:78.75 kmph
Answer: C
Sum of two numbers is 40 and their difference is 4. The ratio of the numbers is	Choose one:  A) 10:3  B) 5:9  C) 11:9  D) 13:9  E) None of these

Solution: Explanation:   =>(x+y)/(x−y)=40/4   =>(x+y)=10(x−y)   =>9x=11y=>x/y=11/9   Option 11:9
Answer: C
The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class? Pick:
A) 174.75 cm
B) 174.25 cm
C) 173.75 cm
D) 173.25 cm
E) 172.75 cm

Solution: The total height was 15 cm too much.   The average height should be reduced by 15 cm/20 = 0.75 cm   The answer is 174.25 cm.
Answer: B
Local kennel has cats and dogs in the ratio of 2:3. If there are 6 fewer cats than dogs, how many dogs are in the kennel? Select the correct option.
A) 24
B) 18
C) 30
D) 15
E) 12

Solution: Lets work with the data given to us. We know that there ratio of cats to dogs is 2:3 or   cats 2   dogs 3   we can write number of cats as 2x and number of dogs as 3x and we know that 3x-2x= 6 (therefore x = 6)   Then # of dogs = 3x6= 18   Answer is 18
Answer: B
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors E does the number 4x have? Pick:
A) 4y  B) 3y  C) 16y  D) 5y  E) Cannot be determined

Solution: I tried for x=2,4 and 6. The integral factors E for x and 4x did not have any specific relation.   My answer is Cannot be determined.
Answer: E
Find the odd man out
2880, 490, 96, 24, 8, 4, 4
Pick
A) 96	B) 8	C) 24	D) 490	E) 4

Solution: from the right side   4*1= 
4*1 = 4
4,   4*2= 
4*2 = 8
8   8*3= 
8*3 = 24
24   24*4= 
24*4 = 96
96   96*5=490 but here given 480 so it's not.   480*6= 
480*6 = 2_880
2880   ANSWER:490
Answer: D
A man's speed with the current is 18 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?  Choose one.
A) 10
B) 18
C) 50
D) 30
E) 40

Solution: Man's speed with the current = 18 km/hr   => speed of the man + speed of the current = 18 km/hr   speed of the current is 2.5 km/hr   Hence, speed of the man = 18 - 2.5 = 20.5 km/hr   man's speed against the current = speed of the man - speed of the current   = 20.5 - 2.5= 
20.5 - 2.5 = 18
18 km/hr   Answer is 18.
Answer: B
In a recent election, Ms. Robbins received 6,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Choose the correct choice from the following answers
A) 0.06N + 6,000	B) 0.1N + 7,200	C) 0.4N + 7,200	D) 0.1N + 8,000	E) 0.06N + 8,000

Solution: total vote = N   vote cast by independent voters = 0.4 N   vote cast by registered voters = 0.6 N   vote received by Ms. Robbins = 6000 + 10% of vote be registered voters = 6000 + 0.06 N   0.06N + 6,000nswer choice 0.06N + 6,000
Answer: A
How many Kilograms of Pure water is to be added to 100 Kilograms of a 30% saline solution to make it a 10% saline solution.
Choose the correct choice from the following choices.
A) 100  B) 200  C) 300  D) 400  E) 500

Solution: Let x be the weights, in Kilograms, of pure water to be added. Let y be the weight, in Kilograms, of the 10% solution. Hence   x + 100 = y   x = 200 Kilograms.   Answer 200
Answer: B
If we know that a positive integer is a multiple of 4, how many (distinct) possibilities are there for the last digit of the integer? Choose one:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: the last digit of the integer may be any of (0,2,4,6,8)   so, 1/5   ANSWER:5
Answer: C
Two mechanics were working on your car. One can complete the given job in 4 hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Options.
A) 2 B) 4/3 C) 15/4 D) 10/3 E) 17/5

Solution: Rate(1)=1/4   Rate(2)=1/8   Combined = 3/8   Work done in 2 days=3/4   Work left = 1/4   Rate * Time = Work left   1/8 * Time = 1/4   Time=2   2
Answer: A
The water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)	Choose the correct choice from the following answers.
A) 100	B) 250	C) 1875	D) 1200	E) 5625

Solution: 6 inches = 1/2 feet (there are 12 inches in a foot.), so  20*25*1/2= 
 20*25*1/2 = 250
250 feet^3 of water must be removed, which equals to   250*7.5= 
  250*7.5 = 1_875
1875 gallons.   Answer: 1875.
Answer: C