MU-NLPC/Calc-aqua_rat huggingface dataset:
A person travels equal distances with speeds of 3km/hr, 6km/hr, 9km/hr. and takes a total time of 11minutes. Find the total distance ?	Answers.
A) 1km	B) 500mts	C) 900mts	D) 2km	E) 250mts

Solution: Let the each distance be x km   total distance = 3x   then total time,   (x/3)+(x/6)+(x/9) = 11/60   x=0.3   total distance = 3*0.3= 
3*0.3 = 0.9
0.9km= 900meters   correct option is 900mts
Answer: C
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.45 only. Menâ€™s wages are?  Choose the correct choice from the following.
A) 6Rs	B) 7Rs	C) 8Rs	D) 4Rs	E) 3Rs

Solution: 5M = xW = 8B   5M + xW + 8B ----- 45 Rs.   5M + 5M + 5M ----- 45 Rs.   15M ------ 45 Rs. => 1M = 3Rs.   Answer:3Rs
Answer: E
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 7.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?	Options.
A) $0.50
B) $1.00
C) $1.25
D) $1.50
E) $1.75

Solution: OA is definitely wrong. The answer should be $1.25.
Answer: C
A student gets 50% in one subject, 70% in the other. To get an overall of 70% how much should get in third subject.  Select:  A) 90%  B) 25%  C) 45%  D) 55%  E) 65%

Solution: Let the 3rd subject % = x   50+70+x = 3*70   120+x =210   x = 210-120= 
210-120 = 90
90   90%nswer : 90%
Answer: A
A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
Choose the correct choice from the following options:  A) 4.8 cm  B) 4.4 cm  C) 4.9 cm  D) 5.0 cm  E) 5.2 cm

Solution: 4.8 cmrea of triangle is  1/2 * 12 * 8= 
 1/2 * 12 * 8 = 48
48   Side of square= x   The entire triangle split into two right angled triangle and one square with dimensions as follows   i) square with side x   ii) Right angled triangle with perpendicular sides x and 12-x   iii) Right angled triangle with perpendicular sides 8-x and x   Sum of area of all three = 48   = x2 + 1/2*x*(12-x) + 1/2*x*(8-x) = 48   = x = 4.8 cm   answer : 4.8 cm
Answer: A
If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is: Select the correct option:
A) -10.0
B) -0.5,
C) -0.4
D) -0.2,
E) 10.0

Solution: Solution:   (0.2)x = 2.   Taking log on both sides   log (0.2)x = log 2.   x log (0.2) = 0.3010, [since log 2 = 0.3010].   x log (2/10) = 0.3010.   x [log 2 - log 10] = 0.3010.   x [log 2 - 1] = 0.3010,[since log 10=1].   x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].   x[-0.699] = 0.3010.   x = 0.3010/-0.699.   x = -0.4306….   x = -0.4 (nearest tenth)   Answer: -0.4
Answer: C
A single discount equivalent to the discount series of 20%, 10% and 5% is?  Select
A) 11.1% B) 20% C) 45.8% D) 10.5% E) 31.6%

Solution: Option 31.6%   31.6%xplanation:   100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6
Answer: E
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Pick one:	A) 3 days	B) 4 days	C) 5 days	D) 6 days	E) 7 days

Solution: Answer: Option 'A'   That is, 1 person can do one time of the work in 3 days.   Therefore, 7 persons can do 7 times work in the same 3 days itself.
Answer: A
On the number line, if x is halfway between -8 and 4, and if y is halfway between -2 and 6, what number is halfway between x and y? Options:
A) -2 B) -1 C) 0 D) 1 E) 2

Solution: x= -2 and y = 2.   The answer is 0.
Answer: C
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choose the correct choice from the following answers:  A) 2980  B) 2990  C) 3000  D) 3100  E) 3158

Solution: 12   12 × 3 + 2 = 38   38 × 3 + 2 = 116   116 × 3 + 2 = 350   350 × 3 + 2 = 1052   1052 × 3 + 2 = 3158   3158
Answer: E
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
Choose the most appropriate option.
A) 104
B) 376
C) 1267
D) 198
E) 621

Solution: 624/6= 
624/6 = 104
104 kmph   104nswer: 104
Answer: A
The ratio 5:20 expressed as percent equals to	Choose the correct choice from the following choices
A) 50 %
B) 125 %
C) 25 %
D) None of above
E) 30%

Solution: Explanation:   Actually it means 5 is what percent of 20, which can be calculated as,   (5/20)*100 = 5 * 5= 
5 * 5 = 25
25   Option 25 %
Answer: C
A woman on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:	Choose one.
A) 71.11 km/hr. B) 68.11 km/hr. C) 44.11 km/hr. D) 88.11 km/hr. E) 31.11 km/hr.

Solution: A   71.11 km/hr.   Total time taken = 160/64 + 160/80 = 9/2 hours   --> 71.11 km/hr.verage speed = 320 x 2/9 = 71.11 km/hr.
Answer: A
The average (arithmetic mean) of the even integers from 24 to 48 inclusive is how much greater than the average (arithmetic mean) of the even integers from 12 to 24 inclusive? Pick.
A) 14	B) 16	C) 18	D) 20	E) 22

Solution: So, according to A mean of a set of even numbers from 24 to 48 =(24+48)/2= 
(24+48)/2 = 36
36 and mean of a set of even numbers from 12 to 24=(12+24)/2= 
(12+24)/2 = 18
18   Difference=36-18= 
36-18 = 18
18   Answer: 18.
Answer: C
The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = A
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = B
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = C
Rank these three standard deviations from least to greatest.  Select the correct option
A) A, B, C
B) A, C, B
C) B, A, C
D) B, C, A
E) C, B, A

Solution: SD is minimum when the terms are closer to the mean.   In set 2, we have all terms equal to mean. hence, its SD is 0.(The Lowest)   Comparing Set 1 and Set 3, Set 1 has terms more closer to mean than set 3. hence, Set 3 Sd is the highest.   So, Answer is B, A, C
Answer: C
There are 200 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%? Choose the correct choice
A) 150
B) 100
C) 99
D) 50
E) 25

Solution: There are 198 managers and 2 others. The 2 others would compose 2% of the total number of people if there were 100 people in the room. Thus 100 managers must leave.   The answer is 100.
Answer: B
welve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. Sixteen adults left and four children joined them. How many days will they take to complete the remaining work?	Choose the correct choice from the following answers.
A) 3 days	B) 4 days	C) 6 days	D) 8 days	E) 10 days

Solution: One child’s one day work = 1/192.   One adult’s one day’s work = 1/96.   Work done in 3 days = ((1/96) x 16 x 3) = 1/2   Remaining work = 1 – 1/2 = 1/2   (6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12   1/12 work is done by them in 1 day.   1/2 work is done by them in 12 x (1/2) = 6 days   ANSWER:6 days
Answer: C
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 five years back was:  Choose the correct choice from the following answers
A) 76 years.	B) 14 years.	C) 55 years.	D) 45 years.	E) 61 years.

Solution: Let the son's present age be x years.   Then, (38 - x) = x   2x = 38 => x = 19   Son's age 5 years back = (19 - 5)= 
(19 - 5) = 14
14 years.   Answer: 14 years.
Answer: B
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $5 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 choices:
A) 8n + 2	B) 8n + 4	C) 9n + 2	D) 9n + 3	E) 9n + 4

Solution: its C   n items for $8 each   total price $8n   postage and handling of $3 for 1st item and $1 for the rest   total postage and handling = $ [5+ (n-1)]   = $ n+4   total cost   8n+n+4 = 9n+4   9n + 4
Answer: E
If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability T that their product will be of the form of x^2-(by)^2, where b is an integer?  Choose the correct choice from the following answers:
A) 1/2 B) 1/3 C) 1/4 D) 1/5 E) T=1/6

Solution: Only (X+y)(x-y) pair will give the form x^2-(by)^2   The probability of selecting these two pairs are 1/4 * 1/3 = 1/12, assuming x+y is picked first, then x-y, but x-y can be picked first followed by x+y. So the probability T= 1/12 * 2 = 1/6   Ans T=1/6
Answer: E
If x = y+3+4.5x and y = x+17, what is the value of x/y ?
Select the correct option:
A) -6/5.
B) -40/113.
C) 1/4.
D) 5/6.
E) 1.5.

Solution: (1) x = y + 3 + 4.5x   Substitute y for y = x + 17 (Eq. we are given)   x = x + 17 + 3 + 4.5x   Combine like terms   x = 5.5x + 20 --> -4.5x = 20 --> x = -40/9   (2) y = x + 17   Substitute x for x = -40/9   y = (-40/9) + 17 = 113/9   (3) x/y = ?   Substitute x and y we found above   x/y = (-40/9) / (113/9) = (-40/9) * (9/113) = -40/113   My answer: -40/113.
Answer: B
The greatest number of four digits which is divisible by 15, 24, 40 and 75 is :	Pick:
A) 9000  B) 9400  C) 9600  D) 9800  E) None of these

Solution: Solution   Greatest number of 4 digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600.   On dividing 9999 by 600, the remainder is 399.   ∴ Required number =(9999 - 399)= 
(9999 - 399) = 9_600
9600. Answer 9600
Answer: C
Ashley paid 5 dollars for 1 notebook and 1 pencil. If both prices were integers, how many pencils did Ashley buy if she paid 93 dollars for the pencils and for 15 notebooks?	Select the correct option
A) 6. B) 16. C) 18 D) 21 E) 26

Solution: 5 = 1P + 1 N   93 = XP + 15N, where X is the number of pencils   Possible prices for 1P & 1N (integers):   N = 1 P = 4 then 15N = 15, 4X = 93 - 15= 
93 - 15 = 78
78, X= 19.5 (not an integer)   N = 2 P = 3 then 15N = 30, 3X = 93 - 30= 
93 - 30 = 63
63, X= 21 (the answer we were looking for, no need to continue calculations)   N = 3 P = 2   N = 4 P =1   Answer: 21
Answer: D
The number of female students in a college in the previous year was 480. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?	Choose the correct choice from the following answers
A) 1680
B) 1760
C) 1840
D) 1920
E) 2000

Solution: Let x be the number of male students last year. The number of male students this year is 2x.   Let y be the number of female students this year.   x/480 = 2(2x/y)   y = 1920   The answer is 1920.
Answer: D
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.? Options:
A) r / (r + b + w)
B) r
C) (r + b + w)
D) r / (r + b)
E) (r + b + w)*e

Solution: The total number of marbles is   r + b + w   The total ratio of blue marbles to the total number of marbles is   r / (r + b + w)   r / (r + b + w)
Answer: A
A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit? Choose the correct choice from the following:
A) 1000	B) 2000	C) 3000	D) 4000	E) 5000

Solution: Ratio of the initial investment   =7/2:4/3:6/5=105:40:36   Therefore, let the initial investments of A, B and C be 105x,40x and 36x respectively   A increases his share 50% after 4 months. Hence the ratio of their investments   =(105x×4)+(105x×150/100×8) :40x×12:36x×12   =105+(105×3/2×2) :40×3:36×3   =105×4:40×3:36×3   =35×4:40:36   =35:10:9   B's share = total profit × 10/54   =21600×10/54=4000   Answer is 4000.
Answer: D
Each student at a certain business school is assigned a 5-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create? Choose the most appropriate option: A) 9,000 B) 36,000 C) 2,700 D) 2,592 E) 1,944

Solution: The identification number is of the form _ _ _ _   1. First digit cannot be 0   2. Middle digits can be anything   3. Last digit has to be prime - 2, 3, 5, 7   We can have the following number of possibilities for each space   __ __ __ __   9 10 10 10 4   Total cases = 36000   Option 2,700
Answer: C
A person borrows Rs. 7000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year. Answers.
A) 100 rs B) 150 rs C) 140 rs D) 180 rs E) 200 rs

Solution: Gain in 2 years =   [(7000*6*2)/100]-[(7000*4*2)/100]    840-560= 
 840-560 = 280
280   Gain in 1 year=(280/2)= 
(280/2) = 140
140 rs   ANSWER:140 rs
Answer: C
If 13 = 13w/(1-w) ,then (6w)2 =
Answers.
A) 1/4  B) 1/2  C) 1  D) 2  E) 6

Solution: 13-13w=13w   26w=13   w=1/2   6w=3   6w*2=3*2= 
3*2 = 6
6   ANSW6R:6
Answer: E
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?  Choose the most appropriate option.
A) 1.1G B) 1.2G C) 1.3G D) 1.4G E) 1.5G

Solution: After 3 weeks, the price was 1.3*0.8*1.25*G=1.3G   The answer is 1.3G.
Answer: C
8th Dec 2007 was Saturday, what day of the week was it on 8th Dec, 2006? Choose the correct choice from the following choices
A) Sunday B) Tuesday C) Friday D) Tuesday E) Thursday

Solution: Explanation:   Given that 8th Dec 2007 was Saturday   Number of days from 8th Dec, 2006 to 7th Dec 2007 = 365 days   365 days = 1 odd day   Hence 8th Dec 2006 was = (Saturday - 1 odd day) = Friday   Answer: Option Friday
Answer: C
The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?	Choose the correct choice from the following answers:
A) 21
B) 22
C) 23
D) 24
E) 25

Solution: Let the average age of the whole team be x years.   11x - (27 + 30) = 9 (x - 1)   11x - 9x = 48   2x = 48   x = 24.   The average age of the team is 24 years.   The answer is 24.
Answer: D
If the operation x is defined by a x b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then − 1 x (1 x − 1) =	Choose one
A) −1 B) 0 C) 1 D) 25 E) 29

Solution: On solving the inner bracket we get 4.   then we get equation as -1 x 4 where b=4 and a=-1   Answer 25
Answer: D
A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?
Choose the most appropriate option:	A) 110 kms/hr	B) 120 kms/hr	C) 130 kms/hr	D) 140 kms/hr	E) None of above

Solution: actual time = t180 = x*t180 = (x – 30)*(t +1/2)Solve both equation, we will get x = 120km/hr Answer : 120 kms/hr
Answer: B
The inverse ratio of 3: 2: 1 is?  Select:  A) 1:2:3  B) 2:3:1  C) 3:1:2  D) 2:3:6  E) None of these

Solution: Explanation:   1/3: 1/2: 1/1 = 2:3:6   Answer is 2:3:6
Answer: D
Look at this series: 4, 2, 1, (1/2), (1/4), ... What number should come next?  Answers
A) 1/8
B) 1/3
C) 1/4
D) 1/2
E) 1/5

Solution: 1/8
Answer: A
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 3 runs. His new average is: Choose the correct choice from the following options:	A) 60 runs	B) 65 runs	C) 70 runs	D) 75 runs	E) 78 runs

Solution: Let average for 10 innings be x. Then,   (10x + 108)/11 = x + 3   = 11x + 33 = 10x + 108   = x = 75.   New average = (x + 3) = 78 runs.   Answer:78 runs
Answer: E
A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the monthly instalment?	Options.
A) $503	B) $504	C) $505	D) $506	E) $507

Solution: Explanation:   Cash price = $21 000   Deposit = 10% × $21 000 = $2100   Loan amount = $21000 − $2100   = $18900   I=p*r*t/100   I=11340   Total amount = 18900 + 11340= 
18900 + 11340 = 30_240
$30240   Regular payment= total amount /number of payments   Answer: $504
Answer: B
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. After how much time will the trains meet? Choose the correct option
A) 10/3 sec
B) 20/4 sec
C) 20/7 sec
D) 22/7 sec
E) 60/7 sec

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (36 + 72)*5/18 = 6*5= 
6*5 = 30
30 mps.   The time required= d/s = 100/30 = 10/3 sec.10/3 secnswer:10/3 sec
Answer: A
If 21/22 = 0.95.45, what is the 57th digit to the right of the decimal point of the fraction?
Answers:
A) 1	B) 4	C) 5	D) 7	E) 9

Solution: we are not concerned what 21/22 means..   we have to look at the decimal..   0.9544 means 0.95454545....   so leaving first digit to the right of decimal, all ODD numbered digits are 4 and all EVEn numbered are 5..   here 57 is odd, so ans is 4   Answer is 4
Answer: B
16 men can complete a piece of work in 28 days. In how many days can 20 men complete that piece of work?
Select:	A) 55 days	B) 77 days	C) 22.4 days	D) 88 days	E) 44 days

Solution: 16 * 28 = 20 * x => x   = 22.4 days   Answer: 22.4 days
Answer: C
John left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change? Choose the correct choice from the following answers
A) 40
B) 200
C) 266
D) 267
E) 600

Solution: In order not to lose money because of the change John's total commission must beat least$75,000-$45,000=$30,000, so total sales must beat least$30,000/0.15=$200,000. Which means that he must makeat least$200,000/750=800/3=266.6 sales, so 267 sales.   Answer: 267.
Answer: D
The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
Choose the correct choice from the following
A) 176	B) 190	C) 140	D) 278	E) 292

Solution: 1/2 * 14 * 20= 
1/2 * 14 * 20 = 140
140   Answer:140
Answer: C
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability Q that exactly two visitors will buy a pack of candy?  Choose the correct choice from the following options
A) 0.343  B) 0.147  C) 0.189  D) 0.063  E) 0.027

Solution: 30.1892 * (3/10)^2 * 7/10   = 3 * 9/100 * 7/10   = 189/1000= 
189/1000 = 189/1_000 = around 0.189
0.189=Q   Answer - 0.189
Answer: C
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Answers.
A) 150 m B) 240 m C) 589 m D) 600 m E) 200m

Solution: Explanation:   Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer: 240 m
Answer: B
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent Q above the cost price were his articles marked?
Pick.
A) 100%
B) 80%
C) 75%
D) 66+2/3%
E) 50%

Solution: Good question...2:11 min   Marked Price (M) = Cost Price (C) + Mark up...(EQN. A)   Selling price = 20% Discount over M = 0.8*M   Given that, a customer bargains and receives 20 articles for the price of 15 articles-->*afurther loss of 25%to the dealer--> BUT aNET PROFIT of 20%over cost price (C)   0.75* 0.8 * M =1.2 * C   Hence, M/C = 2/1 Q= 200%   From Eqn. A , (C + Mark up)/C = 200% -->Mark up / C = 100%   Ans. 100%
Answer: A
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?  Choose the correct option:
A) 1/2	B) 1/5	C) 1/3	D) 1/4	E) 1/6

Solution: Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15   Part filled by C in 3 minutes = 3/30   Required ratio = 3/30 * 15/6 = 1/4   Answer:1/4
Answer: D
Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 6 days?	Choose the correct choice from the following answers:
A) 24
B) 18
C) 16
D) 12
E) 8

Solution: 4 machines do x units in 6 days   we have x/6 => rate of the 4 machines   we know that we need to have 4x units in 6 days   therefore, we need to get to 4x/6 rate of the machines.   rate of one machine is x/6*1/4 = x/24.   now, we need to know how many machines need to work simultaneously, to get 3x done in 6 days.   3x/6 work needs to be done by machines that work at x/24 rate.   let's assign a constant Y for the number of machines:   (x/24)*y = 3x/6   y = 3x/6 * 24/x   cancel 6 with 24, and x with x and get -> 12. Answer choice 12
Answer: D
The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Select the correct option:
A) 17/65
B) 17/25
C) 17/28
D) 17/65
E) 17/39

Solution: The number of exhaustive events = ⁵⁰C₁ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability   = 34/50   = 17/25.   Answer: 17/25
Answer: B
A man's speed with the current is 21 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Pick one.
A) 10	B) 20	C) 16	D) 30	E) 40

Solution: Man's speed with the current = 21 km/hr   => speed of the man + speed of the current = 21 km/hr   speed of the current is 2.5 km/hr   Hence, speed of the man = 21 - 2.5= 
21 - 2.5 = 18.5
18.5 km/hr   man's speed against the current= speed of the man - speed of the current   = 18.5 - 2.5= 
18.5 - 2.5 = 16
16 km/hr   Answer is 16.
Answer: C
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choose one:	A) 28	B) 27	C) 30	D) 29	E) 12

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer: 30
Answer: C
After 6 games, team B had an average of 70 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?	Choose the most appropriate option.
A) 85
B) 74
C) 67
D) 33
E) 28

Solution: (6*70) + 47 +x >500   420+47+x > 500   467+x >500   => x>33   Option 33
Answer: D
18 balls are numbered 1 to 18. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?  Pick
A) 2/9	B) 4/17	C) 6/29	D) 8/35	E) 10/43

Solution: P(1st ball is even) = 9/18   P(2nd ball is also even) = 8/17   P(both balls are even) = 9/18 * 8/17 = 4/17   The answer is 4/17.
Answer: B
How many different 4 letter combinations can be created from the letters M,N,O, and P?	Choose the correct choice from the following answers
A) 4 B) 16 C) 32 D) 96 E) 256

Solution: This is a case of number of arrangements possible with repetition.   Thus you have 4 options each for the 1st,2nd,3rd and 4th letter giving you a total of   4*4*4*4= 
  4*4*4*4 = 256
256 number of possible combinations.   Answer : 256
Answer: E