MU-NLPC/Calc-aqua_rat huggingface dataset:
How much time will take for an amount of Rs. 75 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Pick:	A) 22	B) 19	C) 15	D) 30	E) 24

Solution: Time = (100 * 81) / (75 * 4.5)= 
(100 * 81) / (75 * 4.5) = 24
24 years'   Answer:24
Answer: E
In how many ways can 10 different gifts be divided among four children such that each child receives exactly two gifts? Pick
A) 16^4 B) (4!)^4 C) 10!/(2!)^4 D) 16!/4! E) 4^16

Solution: Total 10 different Gifts, and 4 children.   Thus any one child gets 10C2 gifts,   then the other child gets 8C2 gifts(10 total - 2 already given),   then the third one gets 6C2 gifts,   and the last child gets 4C2 gifts.   Since order in which each child gets the gift is not imp, thus, ans :   1010!/(2!)^42 * 810!/(2!)^42 * 610!/(2!)^42 * 410!/(2!)^42 = 10! / (2!)^4   Ans : 10!/(2!)^4.
Answer: C
There are 11 software engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together? Choose the most appropriate option:
A) 10!×11!/5! B) 9!×11!/4! C) 11!×12!/5! D) 9!×5!/4! E) 5!×6!/7!

Solution: 11 software engineers can be arranged in 11! ways. ...(A)   Now we need to arrange civil engineers such that no two civil engineers can be seated together. i.e., we can arrange 7 civil engineers in any of the 12 (=11+1) positions marked as * below.   * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 *   (where 1, 2… 11 represent software engineers)   This can be done in 12P7 ways. ...(B)   From (A) and (B),   required number of ways   = 11! × 12P7   =11!×12!/5!   11!×12!/5!
Answer: C
If Albert’s monthly earnings rise by 20%, he would earn $560. If, instead, his earnings rise by only 21%, how much (in $) would he earn this month?  Choices:
A) 643 B) 652 C) 660 D) 564 E) 693

Solution: =560/1.2∗1.21   =564=564   Answer is 564
Answer: D
If x is a positive integer, and two sides of a certain triangle have lengths x+2 and x+2 respectively, which of the following could be the length of the third side of the triangle?
I. x + 1
II. x + 5
III. 2x + 1
Answers.
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III

Solution: Let the third side of triangle be AB.   Triangle rule states that:   Difference of other 2 sides < any side < sum of other two sides   So x+2 - (x+2) < AB < x+2 + (x+2)   i.e. 0 < AB < 2x + 4   Let's take x =1 :   So 0 < AB < 6   Check if any of the answers are between 0 and 4.   I: x+1 = 2 ; could be a possible value.   II: x+5 = 6 ; could not be a possible value.   III: 2x+1 = 3; could be a possible value.   I, II and III could not be a possible value.   Answer: I and III only  2 +1= 
  2 +1 = 3
3; could be a possible value.   I, II and III could not be a possible value.   Answer: I and III only
Answer: D
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 972 as interest at the end of the loan period, what was the rate of interest? Choose the correct choice from the following.
A) 3.6 B) 6 C) 9 D) Cannot be determined E) None of these

Solution: let rate = R% and time = R years   Then ( 1200 x R x R /100) = 972   => 12R2= 972   => R2= 81   => R= 9   Answer 9
Answer: C
The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 80 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B?	Answers.
A) 75% B) 80% C) 100% D) 150% E) 159.2%

Solution: Let length of each side of square A be 10   Area of A = 10^2 = 100   Since , length of each side of square A is increased by 100 percent to make square B   length of each side of square B = 2*10= 
2*10 = 20
20   Area of B= 20^2 = 400   Since , length of the side of square B is increased by 80 percent to make square C   length of each side of square C= 1.8*20= 
1.8*20 = 36
36   Area of C= 36^2 = 1296   Difference in areas of C and cummulative areas of A and B = 1296 -(400+100)= 
1296 -(400+100) = 796
796   percent is the area of square C greater than the sum of the areas of squares A and B= (796/500) * 100= 
(796/500) * 100 = 796/5 = around 159.2
159.2%   Answer 159.2%
Answer: E
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 86, and the average of the female students’ grades was 92, how many female students took the test?	Select the correct option:	A) 8	B) 9	C) 10	D) 11	E) 16

Solution: Total Marks of male = M   Total Marks of female = F   Number of males = 8   Number of females = f   Given: (M+F)/(8+f) = 90 -------------1   Also given, M/8 = 86 Thus M = 688--------2   Also, F/f = 92 thus F = 92 F - --------3   Put 2 and 3 in 1: we get   (688+92f)/(8+f) = 90   solving this we get f = 16   Ans: 16
Answer: E
Mike's age is 40 years. If he is 4 more than four times the age of his son, find the age of his son. Answers.
A) 20 years	B) 12 years	C) 16 years	D) 9 years	E) 14 years

Solution: Let Mike's son age be x.   4+ 4 x = 40   x = 9   Hence Mike's son age is 9 years   Answer : 9 years
Answer: D
Alex has to take a quiz, which has ten true false-type question each carry 1 mark. What is the probability that Alex's can score more than 8 mark in the quiz. Given that he decides to guess randomly on the quiz.	Choose the correct choice from the following options:  A) 12/1024  B) 11/1024  C) 11/256  D) 12/256  E) 14/256

Solution: Each question has 2 options (True or false). Total number of ways of answering all 10 questions = (2)10(2)10   More than 8 correct means either 9 correct or all correct.   Number of ways such that 9 correct = 10! / 9! = 10   Number of ways of All correct = 1   Therefore, probability of more than 8 correct = 11/(2)1011/(2)10 = 11/1024   ANSWER:11/1024
Answer: B
A shopkeeper forced to sell at cost price, uses a 950 grams weight for a kilogram. What is his gain percent?
Select the correct option: A) 10% B) 9% C) 11.11% D) 5.26 % E) None of these

Solution: Shopkeeper sells 950g instead of 1000g.   So, his gain = 1000 - 950= 
1000 - 950 = 50
50g.   Thus, %Gain= (50 *100)/950 = 5.26%.   answer : OPTION 5.26 %
Answer: D
If the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Choose the correct choice:
A) 4/15  B) 1/3  C) 2/15  D) 4/5  E) 7/6

Solution: a:b = 2:3 -- 1   b:c = 1:5   =>b:c = 3 :15 --2   From 1 and 2 , we get   a:c = 2:15   Answer 2/15
Answer: C
The area of a square field is 1600 km2. How long will it take for a horse to run around at the speed of 16 km/h ? Choose the correct option:
A) 12 h
B) 10 h
C) 8 h
D) 6 h
E) None of these

Solution: Explanation Area of field =1600 km2. Then, each side of field = √1600=40km Distance covered by the horse = Perimeter of square field = 40 × 4 = 160 km ∴ Time taken by horse = distances/peed=160/16= 
160/16 = 10
10h Answer 10 h
Answer: B
The speed of a train is 120 kmph. What is the distance covered by it in 8 minutes?
Choices
A) 15 kmph  B) 11 kmph  C) 16 kmph  D) 18 kmph  E) 12 kmph

Solution: 120 * 8/60= 
120 * 8/60 = 16
16 kmph   Answer:16 kmph
Answer: C
A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?  Choose the correct choice from the following answers.
A) 4 metre	B) 12 metre	C) 240 metre	D) 2400 metre	E) 130 metre

Solution: Number of times wheel moves in 1 hour = 20 * 60= 
20 * 60 = 1_200
1200   :. Distance moves= (1200*20)= 
(1200*20) = 24_000
24000 cms   In metres= 240 metre   ANSWER:240 metre
Answer: C
The value of a mobile depreciates at the rate of 5% every year. It was purchased 2 years ago. If its present value is Rs.9025 , its purchase price was Choose the correct choice from the following options:	A) 7500	B) 8000	C) 9000	D) 9500	E) 10000

Solution: 10000xplanation:   = Rs.10000   Answer: 10000
Answer: E
Daniel’s only source of income comes from his job as a question writer. In this capacity, Daniel earns a flat salary of $200 per week plus a fee of $7 for every question that he writes. Every year, Daniel takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Daniel wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Daniel’s median annual income over the past 5 years? Choose the correct option.
A) $22,474 B) $25,673 C) $27,318 D) $28,513 E) $31,227

Solution: Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 7$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option $25,673, C and E and u will find that only option $25,673 is divisible by 7 (once 10,000 is subtracted from 25673) so its the right choice..$25,673.
Answer: B
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?  Options.
A) 7 kmph
B) 4 kmph
C) 8 kmph
D) 3 kmph
E) 5 kmph

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer: 4 kmph
Answer: B
If the average weights of three groups of 15,20,25 children respectively is 20,25,30 what is the average weights of all the children? Choose the correct choice from the following choices:  A) 32.89  B) 12.89  C) 38.76  D) 25.83  E) 43.74

Solution: Average weights of group 1 =20   children in group 1 = 15   Total weights of group 1 = 15*20   Average weights of group 2 = 25   children in group 2 = 20   Total weights of group 2 = 25*20   Average weights of group 3 = 30   children in group 3 = 25   Total weights of group 3 = 25*30   Total children = 15+20+ 25= 
15+20+ 25 = 60
60   Average weights of all the children=((15*20)+(25×20)+(25×30))/60   =155/6   =25.83   Answer is 25.83.
Answer: D
A certain company consists of 6 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)  Select:
A) 84	B) 108	C) 135	D) 288	E) 990

Solution: Total # of teams of 3 possible is 14C3=364   # of teams with only managers or only non-managers is: 6C3+8C3=20+56= 
20+56 = 76
76;   # of teams of 3 with at least one manager or at least one non-manager is: 364-76= 
364-76 = 288
288.   ANSWER:288
Answer: D
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 7 family members in a row for the picture?  Options:
A) 9!	B) 9×8!	C) 8×9!	D) 10!/2!	E) 5x6!

Solution: In how many ways David's father and Rachel's mother can stand together? Consider them as one unit: {F, M}. So, we'd have 9 units {F, M}, 1, 2, 3, 4, 5, which can be arranged in 9! ways. David's father and Rachel's mother within their unit can be arranged in 2! ways. Therefore, David's father and Rachel's mother can stand together in 6!*2! ways.   Total - Restriction =   = 7! - 6!*2! =   = 6!(7 - 2!) =   = 5*6!.   Answer: 5x6!.
Answer: E
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?  Choose the correct choice from the following choices:
A) 22
B) 86
C) 68
D) 55
E) 23

Solution: Let the four integers be A, B, C and D where A > B > C > D.   (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)   A = 93, D = 39 and B - C = 28   (1) => B + C = 276 - (A + D) = 276 - 132= 
276 - 132 = 144
144.   86 + 86 -28= 
86 + 86 -28 = 144
144   86= (144 + 28)/2= 
(144 + 28)/2 = 86
86   Answer: 86
Answer: B
On a trip covering 250 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?
Pick one:  A) 15.8  B) 16.3  C) 16.7  D) 17.2  E) 17.5

Solution: time 1 = 100 / 20= 
100 / 20 = 5
5 hours   time 2= 150 / 15= 
150 / 15 = 10
10 hours   total time= 15 hours   average speed = 250 / 15 = 16.7 km/hr   The answer is 16.7.
Answer: C
According to a survey, at least 60% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?  Answers
A) 15%	B) 20%	C) 25%	D) 0%	E) 35%

Solution: It seems that something is wrong with your answer options.   1) minimum applesbananas:   [XXXXXXXXXXXXXX------] - apples   [-----XXXXXXXXXXXXXXX] - bananas   mimimum ab = 60 - (100-75)= 
60 - (100-75) = 35
35%   2) minimum (applesbananas)cherries:   [XXXXXXXXX-----------] - applesbananas   [----XXXXXXXXXXXXXXXX] - cherries   mimimum ab= 35 - (100-80)= 
35 - (100-80) = 15
15%   15%
Answer: A
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?	Pick one:
A) 12  B) 50  C) 87  D) 26  E) 12

Solution: Let the distances between city A to B and B to C be 2x km and 3x km respectively.   Total time taken to cover from A to C   = (2x)/40 + (3x)/60 = (6x + 6x)/120 = 12x/120 = x/10 Average speed = (2x + 3x)/(x/10)   = 50 kmph.   Answer: 50
Answer: B
If an amount of Rs 11,200 is divided equally among
35 students, approximately how much amount will
each student get?
Choose the correct choice from the following answers.
A) Rs 206  B) Rs 360  C) Rs 300  D) Rs 320  E) None

Solution: Amount received by each student = 11,200/35 â‰ˆ Rs   320   Answer Rs 320
Answer: D
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?  Choose the correct choice from the following answers.
A) 15 B) 16 C) 12 D) 14 E) 18

Solution: 1/20 + 1/30 = 1/12   1 + 1/3 = 4/3   1 --- 12   4/3 --- ?     4/3 * 12= 
  4/3 * 12 = 16
16 hrs   ANSWER 16
Answer: B
A multi level marketing devised a training program by which a trainer could convince 40 persons every 60 minutes he conducts the program. And in the next 60 minutes those each of those 40 persons will convince 40 persons. If this process is repeated how many people can be trained/convinced by the company in 300 minutes?  Pick one:
A) 2560000  B) 102400000  C) 64000  D) 5120000  E) 6120000

Solution: in first 60 min convinced persons = 40   in next 60 min convinced persons = 40*40   similarly in next 3 intervals no of convinced persons = 40^3, 40^4, 40^5   so total persons convinced in last 60 min = 40^5 = 102400000   and total no of convinced persons = 40+1600+64000+2560000+102400000= 
40+1600+64000+2560000+102400000 = 105_025_640
105025640   ANSWER:102400000
Answer: B
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number Q is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+Q is odd? Select: A) 1/2 B) 2/3 C) 3/4 D) 4/7 E) 5/8

Solution: All primes except 2 are odd, thus N must be odd. For N + Q = odd + Q to be odd, Q must be even.   There are 7 multiples of 5 between 10 and 40, inclusive: 10, 15, 20, 25, 30, 35, and 40. Out of them 3 (15, 25, and 35) are odd.   Therefore the probability that N + Q is odd is 4/7.   Answer: 4/7.
Answer: D
Adam borrowed some money at the rate of 6% p.a. for the first 2years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of $ 11400 at the end of 9years, how much money did he borrow?  Choose the most appropriate option.
A) $12000  B) $15000  C) $14500  D) $12900  E) $13200

Solution: Let the sum borrowed be x   (x*2*6/100)+(x*9*3/100)+(x*14*4/100) = 11400   (3x/25)+(27x/100)+(14x/25) = 11400   95x/100 = 11400   x = 12000   $12000nswer is $12000
Answer: A
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 31% iodine solution?  Choose the most appropriate option:
A) 35 B) 42 C) 100 D) 105 E) 140

Solution: Solution 1:   Assume the iodine solution to be mixed = x lts.   Iodine = 0.4x lts, Water = 0.6x lts.   Solution 2: 35 liters of a 20% iodine solution   Iodine = 7 lts, Water = 28 lts.   Total iodine = 0.4x + 7   Total water = 0.6x + 28   The resultant is a 35% idoine solution.   Hence (0.4x + 7) / (x + 35) = 31/100   40x + 700 = 31x + 1085   9x = 385   x = 42 lts   Correct Option: 42
Answer: B
If 6 men and 2 boys working together, can do five times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time? Choose the correct option
A) 2:5
B) 2:3
C) 2:8
D) 3:1
E) 3:2

Solution: 6M + 2B = 5(1M + 1B)   6M + 2B = 5M + 5B   1M = 3B   The required ratio of work done by a man and a boy = 3:1   Answer:3:1
Answer: D
Ages of two persons differ by 24 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
Choose the correct choice from the following choices:
A) 12,28  B) 14,30  C) 16,32  D) 18,42  E) 19,34

Solution: Explanation:   Let the age of younger person is x,   Then elder person age is (x+24)   => 3(x-6) = (x+24-6) [6 years before]   => 3x-18 = x+18   => x = 18.   So other person age is x + 24 = 42   Answer: Option 18,42
Answer: D
By investing Rs. 1800 in 9% stock, Syam earns Rs. 120. The stock is then quoted at Choose the correct choice from the following.
A) Rs.135  B) Rs. 96  C) Rs. 85  D) Rs. 122  E) Rs. 142

Solution: Explanation :   Assume that face value = Rs.100.   Dividend per share = Rs.9 (as it is a 9% stock)   By investing Rs. 1800, he earns Rs.120   Investment needed to earn Rs.9 = 1800×9/120 = Rs.135   ie, stock is then quoted (then market value) = Rs.135   Rs.135nswer : Option Rs.135
Answer: A
If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is	Answers:  A) 40  B) 44  C) 80  D) 88  E) 48

Solution: according to the given conditions x+y = 22   and x^2+y^2 = 404   now (x+y)^2 = x^2+y^2+2xy   so 22^2 = 404 + 2xy   so xy = 80/2= 
80/2 = 40
40   40NSWER:40
Answer: A
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 24 seconds but himself in 8 seconds. Find the length of the train and its speed. Answers.
A) 10 m/sec B) 15 m/sec C) 11.25 m/sec D) 19 m/sec E) 25 m/sec

Solution: If length of train is l and speed of train is s, then   l/s = 8   (l+180)/s = 24   (l+180)/l = 24/8= 
24/8 = 3
3   l+180=3*l   2*l= 180   l=90 mtrs   s= l/8 = 90/8= 
90/8 = 45/4 = around 11.25
11.25 m/sec   ANSWER:11.25 m/sec
Answer: C
The salaries of A and B together amount to $5000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
Select
A) $1000 B) $1250 C) $2500 D) $3500 E) $3750

Solution: Let A's salary is x   B's salary = 5000-x   (100-95)% of x = (100-85)% of (5000-x)   x = $3750   Answer is $3750
Answer: E
In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number Q of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
Choose the correct choice from the following answers:
A) 144
B) 189
C) 234
D) 279
E) 309

Solution: Given that Red is to yellow is 2:5, Red is to green is 3:8 and Yellow is to blue is 9:2.   Therefore, the total number of red, yellow, blue and green balls will be 18x, 45x, 10x and 48x respectively, where x is a constant.   If the combined number of red and blue balls is fewer than 85, i.e. max 84 balls, then the maximum number of yellow and green balls will be 279.   (10x+18x) < 85.   28x < 85, i.e. 28x <= 84 (Since number of balls cannot be in fraction). Thus, x<=3.   (45x+48x) = 93x.   Max (93x) Q(45 +48 )= 
(45 +48 ) = 93
93x.   Max (93x) Q= 279.   Answer is 279.
Answer: D
Which of the following could be the value of x, if 2|9x – 2| = 158?  Choose the correct choice from the following options:  A) 77/9  B) 0  C) 9  D) 3  E) -2

Solution: 2|9x – 2| = 158   => |9x – 2| = 79   =>9x - 2 = 79   or 9x - 2 = -79   => 9x = 81 or 9x = -77   => x = 9 or x = -77/9   Answer 9
Answer: C
(128.5 x 4) + (13.8 x 5) = ? x 10	Pick:
A) 524.48
B) 556.02
C) 58.3
D) 585.64
E) 595.46

Solution: Explanation :   ? = (128.5 x 4) + (13.8 x 5)/10   =514 + 69/10 = 58.3   Answer : Option 58.3
Answer: C
If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon have?  Choose the correct answer:  A) 10 sides  B) 8 sides  C) 12 sides  D) 9 sides  E) None of these

Solution: Explanatory Answer   Step 1: Compute sum of all interior and exterior angles   The sum of an exterior angle and an interior angle of a polygon = 180o.   The sum of all the exterior angles of a polygon = 360o.   From the question stem: sum of all interior angles of the given polygon = 1440o.   Therefore, sum of all the interior and all exterior angles of the polygon = 1440 + 360= 
1440 + 360 = 1_800
1800o.   Step 2: Compute number of sides   If there are 'n' sides to this polygon, then the sum of all the exterior and interior angles= 180 * n = 1800o.   Therefore, n = 10.   10 sideslternative 10 sidespproach : Using formula   Sum of all interior angles of a convex polygon = (n - 2)* 180   So, (n - 2) * 180 = 1440   n - 2 = 8   n = 10   Choice 10 sides
Answer: A
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 75. If the restaurant serves 120 customers today, raising the average to 80 customers per day, what is the value of x?  Choose the most appropriate option
A) 2	B) 5	C) 7	D) 8	E) 20

Solution: WITHOUTusing the formula, we can see that today the restaurant served 40 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 40 customers must offset the “deficit” below the average of 80 created on the x days the restaurant served only 75 customers per day.   40/5= 
40/5 = 8
8 days.Choice (A).   WITHthe formula, we can set up the following:   80= (75x + 120)/(x + 1)   80x + 80 = 75x + 120   5x = 40   x = 8Answer Choice (8)
Answer: D
A boat covers a certain distance downstream in I hour, while it comes back in 1½ hours. If the speed of the stream be 3 kmph. what is the speed of the boat in still Water?
Select
A) 12kmph
B) 13kmph
C) 15kmph
D) 16kmph
E) 18kmph

Solution: suppose it travels 1 km downstream in 1 hr and upstream in 1.5 hrs.   speed of boat in still water is x, then   1= 1/(x+3)   1.5= 1/(x-3)   solving we get   x= 15 kmph   ANSWER:15kmph
Answer: C
The speed of a car is 98 km in the first hour and 70 km in the second hour. What is the average speed of the car?  Choose the correct choice from the following answers:
A) 76 kmph  B) 75 kmph  C) 87 kmph  D) 56 kmph  E) 84 kmph

Solution: S = (98 + 70)/2= 
(98 + 70)/2 = 84
84 kmph   Answer: 84 kmph
Answer: E