MU-NLPC/Calc-aqua_rat huggingface dataset:
In a goat farm, the goat give birth to lamps and the count of goat increases by 60% every year. How many years it will take to get the count tripled?
Answers:
A) 270
B) 780
C) 209
D) 790
E) 488.28

Solution: 1 year: 100/4 = 60 : Total: 160   2nd year: 160/4= 
160/4 = 40
40: Total: 160+40= 
160+40 = 200
200   3rd year: 200/4= 
200/4 = 50
50 approx: Total:  200+50= 
 200+50 = 250
250   4th year:  250/4= 
  250/4 = 125/2 = around 62.5
62.5: Total: 250+62.5= 
250+62.5 = 312.5
312.5   5th year :  312.5/4= 
 312.5/4 = 78.125
78.125: total : 312.5+78.125= 390.63   6th year : 390.63/4 = 97.65 : total :   390.63+97.65= 
  390.63+97.65 = 488.28
488.28   ;6 years;   ANSW488.28R: 488.28
Answer: E
The average of 45 results is 9. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?	Choose the correct choice
A) 515  B) 480  C) 750  D) 650  E) 560

Solution: 23th result = sum of 45results - sum of 44 results   9*45-15*22+20*22 = 450-330+440 = 515   515nswer is 515
Answer: A
Among all sales staff at Amtek Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Amtek's sales staff. Amtek employs 80 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ?
Choose the correct choice from the following:  A) 46  B) 42  C) 50  D) 32  E) 58

Solution: I'm going in on this one.   So let's say that we have the following   So we know that L1 = 80 and that C and L1 = 0.15X , we should set up a double set matrix btw but anyways, I'm just explaining the point with this problem. Now we are told that 0.15x = 30, therefore the grand total is 200. Now we know that L2 is  200 - 80= 
 200 - 80 = 120
120. We also learn that C and No C are equally represented thus 100 each. Therefore No C and No L2 will be 100 - 50= 
100 - 50 = 50
50.   Thus 50 is the correct answer choice
Answer: C
A particular parking garage is increasing its rates by 20 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?	Choose the correct choice from the following:
A) 10%
B) 12%
C) 15%
D) 17%
E) 20%

Solution: Let x be the original number of days that Bob used the garage.   Let P be the original cost per day.   Let N*x be the new number of days that Bob uses the garage.   N*x*1.2P = x*P   N*x = x/1.2 which is about 0.83x, thus a 17% reduction.   The answer is 17%.
Answer: D
If x and y are positive integers such that (3x+7y) is a multiple of 11, then which of the followings are divisible by 11?
Choose the correct choice from the following.
A) 9x+4y
B) x+y+4
C) 4x-9y
D) 4x+6y
E) 5x+3y

Solution: By hit and trial method, we get   x=5 and y=1 such that   3x+7y=15+7= 
15+7 = 22
22 is a multiple of 11.   (4x+6y)=(4×5+6×1)=26   => not divisible by 11   (x+y+4)=(5+1+4)= 
(5+1+4) = 10
10=> not divisible by 11   (9x+4y)=(9×5+4×1)=49   => not divisible by 11   (4x−9y)=(4×5−9×1)=20−9=11   => divisible by 11   Answer : 4x-9y
Answer: C
A store reported total sales of $460 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
Pick:
A) 2%
B) 17%
C) 44%
D) 65%
E) 83%

Solution: New Value – Old Value)/Old Value x 100   We are given:   February sales this year = 460 million   February sales last year = 320 million   We need to determine the percent increase between sales from last year to sales this year.   Thus, the new value = 460 million and the old value = 320 million. Let’s plug them into our percent change formula.   (New Value – Old Value)/Old Value x 100   [(460 – 320)/320] x 100   ≈ 44%.   The answer is 44%.
Answer: C
What is the smallest number which when diminished by 18, is divisible 8, 14, 26 and 28?	Select
A) 746  B) 750  C) 789  D) 678  E) 897

Solution: Required Number   = (LCM of 8, 14, 26 and 28) + 18   = 728 + 18= 
728 + 18 = 746
746   Option 746
Answer: A
A company recently conducted a survey and found that 35,000 of its customers live in rural areas. If the number of customers who live in urban areas is 140 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?  Choose one
A) 78,000  B) 80,000  C) 82,000  D) 84,000  E) 86,000

Solution: The number of customers in urban areas is 35,000+1.4*35,000=84,000.   The answer is 84,000.
Answer: D
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning? Choose the correct choice from the following answers:	A) 40	B) 56	C) 39	D) 42	E) 53

Solution: Let the average after 7th inning = x Then average after 16th inning = x - 3 therefore 16(x-3)+87 = 17x therefore x = 87 - 48= 
87 - 48 = 39
39 Answer : 39
Answer: C
A grand father has 3 grand children. Age difference of two children among them is 3. Eldest child age is 3 times the youngest child’s age and the eldest child age is two year more than the sum of age of other two children. What is the age of the eldest child?
Choose the correct choice from the following answers:	A) 22	B) 15	C) 28	D) 26	E) 9

Solution: As the eldest son's age is 3 times that of the youngest, eldest son's age should be a multiple of 3. From the given options take 15 as the eldest son's age. Then youngest son's age becomes 5. But Eldest sons age is 2 more than the sum of the remaining two sons. So Sum of the remaining two sons is 13. So the age of the middle son is 13 - 5= 
13 - 5 = 8
8. Which satisfies another condition in the question that the difference between the two sons age is 3. So answer is 15.   Answer:15
Answer: B
A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?
Choices.
A) 11340
B) 12750
C) 40
D) 320
E) None

Solution: Solution: There 10 questions in part A out of which 8 question can be chosen as = 10C8.   Similarly, 5 questions can be chosen from 10 questions of Part B as = 10C5.   Hence, total number of ways,   =10C8*10C5   =[10!/(2!8!)]*[10!/(5!*5)]   = {10*9/2}*{10*9*8*7*6/(5*4*3*2*1)}   = 1140.   11340nswer: Option 11340
Answer: A
Find the odd man out. 18, 3, 12, 24, 14, 34, 46  Choose the correct answer:
A) 3  B) 6  C) 24  D) 46  E) 18

Solution: Explanation :   3 is the only odd number in the given series   3nswer : Option 3
Answer: A
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?  Pick one
A) 5/8  B) 5/9  C) 5/2  D) 5/1  E) 5/7

Solution: Two balls can be picked from nine balls in ⁹C₂ ways.   We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.   The required probability = (5 * 4)/⁹C₂   = 20/36   = 5/9   Answer: 5/9
Answer: B
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability Z that out of the two, one is white and one is blue? Choose the correct choice from the following answers:  A) 15/56  B) 41/56  C) 13/28  D) 15/28  E) 5/14

Solution: The required probability Z= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.   Ways to select 6 out of total 8 = 8C6   Ways to select 4 out of 5 white balls = 5C4   Ways to select 2 out of 3 blue balls = 3C2   Thus the required probability = (5C4*3C2)/8C6 = 15/28.   15/28 is thus the correct answer.
Answer: D
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?	Choose the correct choice from the following:
A) 9 B) 8 C) 6 D) 1 E) 2

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 1/2rd of that price, there would be a loss of 20%?	Choose the correct choice from the following answers:
A) 20%	B) 29%	C) 60%	D) 27%	E) 28%

Solution: SP2 = 1/2 SP1   60%P = 100   SP2 = 80   1/2 SP1 = 80   SP1 = 160   100 --- 160 => 60%   Answer: 60%
Answer: C
A sequence an is recursively defined where an = 3(an-1-1000) for n > 0. Compute the smallest
integer x such that when a0 = x, an > a0 for all n > 0.  Choose the correct choice:
A) 1401
B) 1301
C) 1201
D) 1101
E) 1501

Solution: We want the smallest x such that 3(x - 1000) > x, or 2x > 3000. The smallest   integral x that satisfies this is x = 1501 .   correct answer 1501
Answer: E
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?  Choices.
A) 20 min  B) 22 min  C) 15 min  D) 18 min  E) 21 min

Solution: 20 min   20 min   Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? 20 min
Answer: A
In a two digit number, the digit in the units place is two times the digit in ten's place and sum of the digits is equal to 6. What is the number?  Answers
A) 24	B) 28	C) 32	D) 36	E) 38

Solution: Solution   Let the ten digits be x. Then,units digit=2x   Therefore x + 2x = 6   ‹=›3x = 6   ‹=›x= 2.   So, ten's digit = 2, unit's digit = 4.   Hence, the required number is 24.   24nswer 24
Answer: A
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?  Choose the correct choice from the following answers: A) 22 1/7 % B) 22 8/2 % C) 22 1/9 % D) 22 1/2 % E) 22 2/2 %

Solution: 9 = (1*40*R)/100   R = 22 1/2 %   Answer: 22 1/2 %
Answer: D
Two trains 141 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Select the correct option
A) 7.19  B) 7.59  C) 7.16  D) 7.15  E) 7.12

Solution: T = (141 + 165)/ (80 + 65) * 18/5   T = 7.59   Answer: 7.59
Answer: B
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 860 in 4 years. The sum is: Choose the correct choice from the following answers.
A) s. 650  B) s. 690  C) s. 680  D) s. 700  E) s. 720

Solution: S.I. for 1 year = Rs. (860 - 815) = Rs. 45.   S.I. for 3 years = Rs.(45 x 3) = Rs. 135.   Principal = Rs. (815 - 135) = Rs. 680.   Answer: Option s. 680
Answer: C
Which of the following is closest to (-7/8)^199？  Choose the correct choice from the following.
A) -1  B) -1/2  C) 0  D) 1  E) 2

Solution: (-7/8)^4 = 2401/4096 which is already less than 2/3.   For larger exponents, the expression will get closer and closer to zero.   The answer is 0.
Answer: C
At a certain bowling alley, it costs $1 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?  Choose the correct choice from the following options.
A) 7 B) 8 C) 5 D) 10 E) 9

Solution: After renting bowling shoes the person is left with $12.80-$1=$11.80, which is enough for 11.8/1.25<1012.80- 1= 
12.80- 1 = 11.8
$11.80, which is enough for 11.8/1.25<10=~9.   Answer:9.
Answer: E
What is the difference between the place values of two sevens in the numeral 54709479 ?	Select the correct option.
A) 699990 B) 99990 C) 99980 D) 699930 E) None of these

Solution: Explanation:   Required 699930ifference   = 700000 - 70= 
700000 - 70 = 699_930
699930   Answer is 699930
Answer: D
Find out the square of a number which when doubled exceeds its quarter by 7 ? Select the correct option:
A) 16  B) 11  C) 31  D) 29  E) 19

Solution: 16   16   Explanation:   Let the number be p, then the square will be p^2   16ccording to question:   2p = (p/4) + 7   => 8p = p + 28   => p = 4   p^2 = 4^2 = 16.
Answer: A
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 68$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? Answers.
A) 52	B) 37.5	C) 92	D) 136	E) 184

Solution: w1/w2 = (A2 - Aavg)/(Aavg - A1) = (68 - 40)/(40 - 36) = 28/4= 
28/4 = 7
7/1= Number of MicroTron stocks/Number of Dynaco stocks   So for every 7 MicroTron stock, she sold 1 Dynaco stock.   So out of 300 total stocks, (1/7)th i.e. 300/8 = 37.5 must be Dynaco stock.   Answer (37.5)
Answer: B
Convert the 8/26 m/s into kilometers per hour?	Pick.
A) 3.5 kmph.	B) 2.5 kmph.	C) 1.2 kmph.	D) 1.1 kmph.	E) 1.9 kmph.

Solution: 8/26 m/s = 8/26 * 18/5 = 1 (1/10) = 1.1 kmph.   ANSWER:1.1 kmph.
Answer: D
Carol is six times Alice’s age but only twice as old as Betty. Alice is sixty years younger than Carol. How old is Betty?  Choose the correct answer:
A) 46	B) 39	C) 42	D) 48	E) 36

Solution: Beyond the obvious Algebra approach to this question, it can also be solved by TESTing THE ANSWERS.   We're told 3 facts about the relative ages of 3 people:   1) Carol's age is 6 times Alice's age   2) Carol's age is 2 times Betty's age   3) Carol is 60 years older than Alice   We're asked for BETTY'S age.   Since Carol is TWICE Betty's age, Betty is clearly younger than Carol, so we'll TEST a smaller answer first.   IF....   Betty = 36   Then Carol = 2(36) = 72   Then Alice = 72 - 60= 
72 - 60 = 12
12 AND   72/6= 
  72/6 = 12
12   All of these values mesh perfectly with the facts and with one another, so Betty MUST be 36   36
Answer: E
Which of the following could be the sum of the reciprocals of two prime numbers?  Choose the correct choice from the following choices
A) 7/13  B) 11/12  C) 11/30  D) 23/50  E) 18/77

Solution: 10/12 it is   18/77=(1/7) + (1/11)   Answer - 18/77
Answer: E
John found that the average of 15 numbers is 40. If 15 is added to each number then the mean of number is?	Choose the correct option:
A) 55  B) 45  C) 65  D) 78  E) 64

Solution: (x+x1+...x14)/15 = 40   55   Option 55
Answer: A
If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is Odd
Pick one:
A) I only	B) None of the above	C) II only	D) III only	E) I,III only

Solution: If AB is Odd then C will not even. O+E = O   If AB is even then C will not be odd.   If B is even AB is even always. But If C is Odd E+O = O   If B is Odd AB is even or odd depends on A   None of the above are true.   Answer : None of the above
Answer: B
In a group of 15 people, 8 read English, 7 read French while 3 of them read none of these two. How many of them read French and English both?	Choose the most appropriate option.
A) 2	B) 3	C) 4	D) 7	E) 5

Solution: In the following Venn diagram, F and E represent people who read French and English respectively.   Now, [F+({F ∩ E}) + E] = 15-3 (or) F+E+(F ∩ E) = 12 ......(1) Also, F+(F ∩ E) = 7; E+(F ∩ E) = 8. By adding, F+E+2(F ∩ E) = 15 ---------- (2) By subtracting (1) from (2), we get (F ∩ E) = 3. ∴ 3 of them read both French and English.   Answer:3
Answer: B
The average of first 9 odd numbers is?
Options:
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: Sum of 9 odd no. = 90   Average = 81/9= 
81/9 = 9
9   ANSW9R:9
Answer: E
The maximum number of students among them 100 pens and 50 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?  Answers.
A) 50 B) 75 C) 69 D) 79 E) 82

Solution: number of pens = 100   number of pencils = 50   Required number of students = H.C.F. of 100 and 50 = 50   50nswer is 50
Answer: A
A can give B 70 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choose the most appropriate option:	A) 139.78	B) 139.13	C) 139.22	D) 111.0	E) 111.12

Solution: A runs 1000 m while B runs 930 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/930   = 860.21 m.   B can give C = 1000 - 860.21   =139.78m.   139.78nswer:139.78
Answer: A
A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $20,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set? Choose one:
A) $215,000 B) $365,000 C) $115,000 D) $175,000 E) $160,000

Solution: 20,000 = 0.15 *(50000) + 0.10 (x - 50000)   20000 - 7500 = 0.10 (x-50000)   125000 = x - 50000   x = 1,75,000   Answer : $175,000
Answer: D
A and B invested Rs.4000 and Rs.5000 and they get 20% profit at the end of year. Then share of B is  Answers
A) Rs.1200	B) Rs.1000	C) Rs.1300	D) Rs.1500	E) Rs.1800

Solution: Total invest is 9000   20% gain of 9000 is 1800   A:Rs.1000=4:5   Rs.1000's share will be   (5/9)*1800= 
  (5/9)*1800 = 1_000
1000   ANSWER:Rs.1000
Answer: B
A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.  Choose the most appropriate option
A) 30
B) 40
C) 10
D) 20
E) 50

Solution: Explanation:   Volume of the block = (6 x 12 x 15) cm3 = 1080 cm3   Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm   = 3 cm.   Volume of this cube = (3 x 3 x 3) cm3 = 27 cm3   Number of cubes = (1080/27)= 
(1080/27) = 40
40.   Answer: 40
Answer: B
A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 65 characters. The content is again retyped on a record which is having 71 pages of 65 lines and each line can take 70 characters . How many lines of a record will be free?  Choose one
A) 30 B) 40 C) 50 D) 60 E) 70

Solution: f it is asking for no of pages will be free then   20*55*65= 65*70* (no of page)   no of page= 110/7 = 15.7 = 16 pages   71-16= 
71-16 = 55
55(ans)   if it is asking for no of lines will be free in one page then   20*55*65=70*71*(no of lines)   no of lines=14.38= 15 lines   no of lines will be free on each page=65-15= 
65-15 = 50
50   ANSWER:50
Answer: C
The length of a rectangle is doubled while its width is tripled. What is the % change in area?  Options
A) 250%	B) 300%	C) 500%	D) 650%	E) 700%

Solution: The original area is L*W   The new area is 2L*3W = 6*L*W   2 *3= 
  2 *3 = 6
6*L*W= L*W + 5*L*W   The area increased by 500%.   The answer is 500%.
Answer: C
If
GOOD is coded 164,
BAD is coded 21,
UGLY is coded 260,
then JUMP is coded as ?  Choose the correct choice from the following options:
A) 230  B) 240  C) 250  D) 260  E) 270

Solution: a=1 , b=2 , c=3 ,....................y=25 , z=26   JUMP = 10+21+13+16= 
10+21+13+16 = 60
60   JUMP is a word of Four letters so multiply it by 4   Therefore , 60*4=240   ANSWER:240
Answer: B
Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?  Pick.
A) o	B) p	C) e	D) r	E) s

Solution: 10th letter from your left is J   7th letter from your right is T   The mid letter between J and T is O.   oNSWER o
Answer: A
If x and y are positive integers, find which of the following CANNOT be the greatest common divisor of 25x and 20y?
Choose the correct choice from the following answers:
A) 5	B) 5(x-y)	C) 20x	D) 20y	E) 35x

Solution: We are looking for a choice that CANNOT be the greatest common divisor of 25x and 20y ...which means 35x and 20y when divided by the answer choice the quotient should not be a integer.   lets check   a. 5 25x/5 = 5x and 20y/5 = 4y both are integers so eliminate   b. 5(x-y) when x 20 /5= 
20 /5 = 4
4y both are integers so eliminate   b. 5(x-y) when x= 2 and y = 1 it could be be the greatest common divisor ..so eliminate   c. 20x when x = 1 its 20 and 20 cannot be the greatest common divisor of 25x and 20y ...   or 25x/20x = 5/4 which is not a integer.   so answer is 20x.
Answer: C
A club wants to mix 25 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
Choose the correct choice from the following answers:	A) 30	B) 40	C) 50	D) 60	E) 70

Solution: Let number of pounds of 5$ candy to be used be w   6 = (25*8 + 5*w)/(25 +w)   =>150 + 6w = 200 + 5w   => w = 50   Answer 50
Answer: C
A literature panel is to select 4 panelists from a selection of 6 female and 3 male experts. What is the probability that the selected panelists will comprise of exactly 2 males?	Choose the correct choice from the following answers.
A) 4/9	B) 2/5	C) 3/7	D) 1/2	E) 5/14

Solution: We are told that there should be 2 males and 2 females.   Combination approach:   P=C23∗C26/C49=45/126=5/14   Answer: 5/14.
Answer: E
The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?	Pick one.
A) 7.5 kmph
B) 17.5 kmph
C) 12.5 kmph
D) 5.5 kmph
E) 8.5 kmph

Solution: Speed of the boat in still water = (45+60)/2= 
(45+60)/2 = 105/2 = around 52.5
52.5 kmph. Speed of the stream= (60-45)/2= 
(60-45)/2 = 15/2 = around 7.5
7.5 kmph.   7.5 kmphnswer:7.5 kmph
Answer: A
A function f(x) is said to reflect onitself if, y = f(x) and x = f(y). Which of the following function reflects on itself?  Answers:
A) f(x) = (4x + 3) / (3x - 9) B) f(x) = (4x + 3) / (3x - 2) C) f(x) = (4x + 3) / (3x - 9) D) f(x) = (4x + 3) / (3x - 1) E) f(x) = (4x + 3) / (3x - 4)

Solution: (a) f(x) = x = f(y)   y = x = f(y) Hence (a) is true.   (b) f(x) = 2x+1x−22x+1x−2 = y   xy - 2y = 2x + 1   xy - 2x = 1 + 2y   x(y - 2) = 1 + 2y   x = 1+2yy−21+2yy−2 Hence (b) is also true.   Similarly if we check for options (c) & (d), they will also hold true, hence t he answer is option (e).   Answer:f(x) = (4x + 3) / (3x - 4)
Answer: E
if (x + y)/(2x + y) = 4/7, then find (2x + y)/(3x + y) ?	Choose the correct choice
A) 5/6  B) 8/9  C) 4/10  D) 7/10  E) 9/10

Solution: (x + y)/(2x + y) = 4/7   => 7x + 7y = 8x + 4y => 3y = x   Now, (2x + y)/(3x + y) = 7y/10y = 7/10.   ANSWER:7/10
Answer: D
A tempo, while travelling at 70 kmph, uses 30% more petrol than it uses while travelling at 50 kmph for travelling a certain distance. Using one litre of petrol, it can travel 19.5 km at 50 kmph. How far can the tempo travel on 10 litres of petrol at a speed of 70 kmph? Select the correct option.
A) 150 kms B) 160 kms C) 170 kms D) 180 kms E) 190 kms

Solution: @50 kmph , one km distance uses 1/19.5 ltr petrol.   @70kmph, one km dist. uses 1.3/19.5 ltr petrol   Distance travelled with 10 ltrs @ 70kmph = 10*19.5/1.3= 
10*19.5/1.3 = 150
150 kms.   150 kmsNSWER:150 kms
Answer: A
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices.
A) 10 kmph
B) 76 kmph
C) 12 kmph
D) 35 kmph
E) 15 kmph

Solution: Speed of the boat in still water   = (50+120)/2   = 170 kmph. Speed of the stream   = (120-50)/2= 
(120-50)/2 = 35
35 kmph.   Answer:35 kmph
Answer: D
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choose the correct choice from the following answers:
A) 6 kmph
B) 7 kmph
C) 8.5 kmph
D) 8 kmph
E) 9 kmph

Solution: S = 1   M = x   DS = x + 1   US = x - 1   35/(x + 1) + 35/(x - 1) = 12   x = 6   6 kmphNSWER:6 kmph
Answer: A
If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x? Choose the correct option:
A) 7	B) 6	C) 5	D) 4	E) 3

Solution: 21340 * 10^-4 * 10^x < 210,000, x=4   because the next zero on the right side will make 21,340 > 210,000   Answer 4,
Answer: D
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?	Answers
A) $21,000	B) $18,000	C) $15,000	D) $ 4,500	E) $4,000

Solution: 360 + 0.06 (x-1000) = 0.08x   or 360 -60 = 0.08x   or  300/0.02= 
 300/0.02 = 15_000
x   or 15000=x   Answer : $15,000
Answer: C