MU-NLPC/Calc-aqua_rat huggingface dataset:
Two trains start from A & B and travel towards each other at
speed of 50kmph and 60kmph resp. At the time of the meeting the
second train has traveled 120km more than the first.the distance
between them.
Choose the correct choice from the following answers:  A) 1300 km  B) 1310 km  C) 1320 km  D) 1330 km  E) 1340 km

Solution: Let the distance traveled by the first train be x km   then distance covered by the second train is x + 120km   x/50 = x+120 / 60   x= 600   so the distance between A & B is x + x + 120 = 1320 km   Answer is 1320 km.
Answer: C
The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?  Pick one:  A) 2  B) 4  C) 12  D) 40  E) 160

Solution: Actual miles/gallon is = 480/4 = 12 miles/gallon.   Current engine miles/gallon is 8 miles/gallon.   Additional 4 miles/gallon is required to match the actual mileage.   ANSWER:4
Answer: B
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present	Options:
A) 33 B) 37 C) 39 D) 40 E) 82

Solution: Explanation:   Let the mother's present age be x years.   Then, the person's present age = years.   2(2x + 40) = 5(x + 8)   x = 40   Answer: 40) 40
Answer: D
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:	Choose the correct option:
A) 3
B) 5
C) 9
D) 11
E) 13

Solution: Let the ten's digit be x and unit's digit be y.   Then, number 10x + y.   Number obtained by interchanging the digits = 10y + x.   (10x + y) + (10y + x) = 11(x + y)   which is divisible by 1   ANSWER:11
Answer: D
{150, 260, 250, n}
Which of the following could be the median of the 4 integers listed above?
I. 175
II. 215
III. 235 Choose one.
A) I only  B) II only  C) I and II only  D) II and III only  E) I, II, and III

Solution: If 175 is the median, (n+250) / 2 = 175. Then n = 100. But n < 150, so 175 can not be the median.   If 215 is the median, (n+250) / 2 = 215. Then n = 180. Thus 215 can be the median.   If 235 is the median, (n+250) / 2 = 235. Then n = 220. Thus 235 can be the median.   The answer is II and III only.
Answer: D
A boat can move upstream at 15 kmph and downstream at 35 kmph, then the speed of the current is?
Pick one:  A) 5  B) 6  C) 10  D) 8  E) 9

Solution: US = 15   DS = 35   M = (35 - 15)/2= 
(35 - 15)/2 = 10
10   Answer: 10
Answer: C
What number should replace the question mark? 10, 30, 14, 25, 18, 20, ---? Select:
A) 19
B) 21
C) 25
D) 22
E) 20

Solution: Answer: 22   10, 30, 14, 25, 18, 20, 22?   There are two alternate sequences: +4 and -5.
Answer: D
3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?	Options.
A) 12/9 days  B) 15/4 days  C) 82/8 days  D) 22/76 days  E) 22/2 days

Solution: 3M = 6W ---- 20 days   12M + 8W -----?   24W + 8 W = 32W ---?   6W ---- 20 32 -----?   6 * 20  24  + 8= 
 24  + 8 = 32
32W ---?   6W ---- 20 32 -----?   6 * 20= 32 * x => x = 15/4 days   Answer:15/4 days
Answer: B
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?  Choose the correct choice:
A) 40.98% loss	B) 20.98% loss	C) 60.98% loss	D) 50.98% loss	E) 10.98% loss

Solution: Explanation:   81 ---- 17   100 ----- ? Ã¨ 20.98%loss   Answer:20.98% loss
Answer: B
Mother,her daughter and her grand child weighs 110 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?  Pick one
A) 46  B) 47  C) 48  D) 49  E) 50

Solution: mother + daughter + child = 110kg   daughter + child = 60kg   mother = 110 - 60= 
110 - 60 = 50
50kg   child= 1/5th of mother = (1/5)*50= 
(1/5)*50 = 10
10kg   So now daughter= 110 -(mother + child) = 110 - (50+10)= 
110 - (50+10) = 50
50kg   ANSW50R:50
Answer: E
If m is an integer, which of the following must be an even integer?
Options.
A) m^2-m-1
B) m^2-4m+6
C) m^2-5m+5
D) m^2+3m+8
E) m^2+2m+10

Solution: Check the options by plugging in some values ( Preferably smaller integers like 1 and 2 )   A: m^2-m-1 = -1 { If m = 1 }   B: m^2-4m+6 = 3 { If m = 1 }   C: m^2-5m+5 = 1 { If m = 1 }   m^2+3m+8: m^2+3m+8 = 12 { If m = 1 }m^2+3m+8 = 18 { If m = 2 }   E: m^2+2m+10 = 13 { If m = 1 ]   Thus the only possible answer is (m^2+3m+8)
Answer: D
The ratio of 2 numbers is 2:8 and their H.C.F. is 40. Their L.C.M. is ?
Choose one
A) 400	B) 120	C) 80	D) 320	E) 40

Solution: Let the numbers be 2x and 8x   Their H.C.F. = 40   so the numbers are 2*40 , 8*40 = 80, 320   L.C.M. = 320   Answer is 320
Answer: D
The diagonals of a rhombus are 10 cm and 15 cm. Find its area?
Choose the correct choice from the following:
A) 75
B) 129
C) 150
D) 123
E) 117

Solution: 1/2 * 10 * 15= 
1/2 * 10 * 15 = 75
75   75nswer:75
Answer: A
A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A? Choose the correct answer
A) (L - 2)/4  B) (3L - 2)/4  C) (L + 2)/3  D) (3L + 2)/3  E) (2L - 1)/4

Solution: A+B = L so we know that B = L - A.   A = 3(3L - 2)/4-2   A = 3(L-A) - 2   4A = 3L - 2   A = (3L-2) / 4   The answer is (3L - 2)/4.
Answer: B
When 50% of one number is added to a second number,the second number increases to its four-thirds. What is the ratio between the first number and the second number?  Pick
A) 3 : 2 B) 3 : 4 C) 2 : 3 D) Data inadequate E) None of these

Solution: Let the numbers be y and x respectively   x + 50% of y = 4x⁄3 or, y⁄2 = 4x⁄3 - x   or, y⁄2 = x⁄3   or, y⁄x = 2⁄3   Answer 2 : 3
Answer: C
Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/8 full and other jar 1/6 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?	Choose the correct answer
A) 1/7
B) 2/7
C) 1/2
D) 7/12
E) 1/4

Solution: Same amount of water made bigger jar 1/8 full, then the same amount of water(stored for a while in smaller jar) were added to bigger jar, so bigger jar is 1/8+1/8=1/4 full.   Answer: 1/4.
Answer: E
If a/x = 2/3 and a/y =1/ 2, then (x + y) =	Pick: A) A)2a B) B)7a/2 C) C)6a D) D)7a E) E)9a

Solution: Ratio 1:   3a = 2x   Ratio 2:   4a = 2y   x+y = 7a/2   Answer is 7a/2
Answer: B
A train running at 1/5 of its own speed reached a place in 20 hours. How much time could be saved if the train would have run at its own speed?
Select the correct option.
A) 8hrs
B) 10hrs
C) 12hrs
D) 16 hrs
E) 6hrs

Solution: time taken if run its own speed = 1/5*20= 
1/5*20 = 4
4 hrs   Time saved= 20 - 4= 
20 - 4 = 16
16 hrs   Answer : 16 hrs
Answer: D
" I am eight times as old as you were when I was as old as you are " , said a man to his son. Find out their present ages if the sum of the their ages is 75 years.  Choose the correct choice from the following:
A) 23  B) 24  C) 25  D) 26  E) 27

Solution: present age of boy x and previous age of boy y   so present age of dad : 8y and previous age is x   so the gap between duration must be same   so 8y-x=x-y --> x=9y/2   and x+8y = 75 (given) --> 9y/2 + y=75 so y=6 and and x=27   therefore fathers age is 8y = 8*6= 
8*6 = 48
48   and child's age= x=27   ANSW27R:27
Answer: E
Merry has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
Choices:
A) 55 B) 56 C) 57 D) 58 E) 59

Solution: Let there be a pennies , b nickels and c dimes   so total amount can be 1+5b+10c cents to 4+5b+10c   as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4)   So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.   so answer is 55
Answer: A
an article with cost price of 320 is sold at 18% profit. what is the selling price?	Pick one:
A) 198	B) 200	C) 204	D) 378	E) 347

Solution: sp=1.18*320=378   ANSWER:378
Answer: D
The area of a rectangular plot is 460460 square metres. If the length is 15%15% more than the breadth, what is the breadth of the plot?
Options: A) 14 metres B) 20 metres C) 18 metres D) 12metres E) 16 metres

Solution: Explanation:   length 115% of breadth.   length×breadth =460 m2   ⇒ 115% of breadth×breadth =460 m2   ⇒ 115/100×breadth×breadth =460 m2   ⇒ breadth×breadth =400 m2   ⇒ breadth =20 m   Answer: Option 20 metres
Answer: B
A reading list for a certain course consists of 10 books, of which 7 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?  Choose the correct choice from the following options
A) 90  B) 115  C) 130  D) 144  E) 175

Solution: Ans: B   Solution: Selection requires at most 2 novels, means=   0N4P + 1N3P + 2N2P   7c1*3c3+ 7c2*3c2 + 7c3*3c1   = 7+ 63 + 105= 
7+ 63 + 105 = 175
175   Ans: 175
Answer: E
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 4 people read all three newspapers. Find the minimum number of people who read both A and B but not C. Choose one.
A) A)1  B) B)2  C) C)3  D) D)0  E) E)5

Solution: I wish I could draw a diagram to show you but by giving you number A and B, it might help a little.   A and B and C is 4 - that means A and B is at least 4. This seems trivial given the value intervals of A and B but definitely helps to think through how to minimize A and B but not C   A and B but not C = |A|-|B| - 4   So i would pick A=20 and B =50 to minimize the value to a 2. (ANS 2)
Answer: B
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?	Pick:
A) 22 days	B) 68 days	C) 77 days	D) eleven days	E) 88 days

Solution: (5 + x)/20 + 5 / 25 = 1 => x = 11 days   Answer: eleven days
Answer: D
Analysis of the various vehicle prices in a car dealership shop revealed that :
I) trucks cost 12% less than SUVs
II) Minivans cost 20% less than trucks
III) sedans cost 8% less than minivans
what percent of SUV's cost is a sedan?	Choose the correct choice from the following choices.
A) 88.9%  B) 90%  C) 66.24%  D) 70.3%  E) 78.8%

Solution: Let the cost of suv be $100   I) trucks cost 10% less than SUVs --100-10= 
 --100-10 = 90
90   II) Minivans cost 20% less than trucks--90-18= 
--90-18 = 72
72   III) sedans cost 8% less than minivans  --72-5.76= 
  --72-5.76 = 66.24
66.24   what percent of SUV's cost is a sedan=66.24*100/100   Answer is 66.24%
Answer: C
The expression mn+m is odd when the m and n are integers. Which of the following expressions must be even? Choose the most appropriate option
A) m	B) n	C) m + n	D) mn - m	E) m + n^2

Solution: mn+m is odd   m and n are integers   If m were even mn+m would be even despite any value of n.   n can't be odd, so n must be even.   Ans : n
Answer: B
A train passes a man standing on the platform. If the train is 70 meters long and its speed is 72 kmph, how much time it took in doing so? Choose the correct choice from the following choices:
A) 6 ½ sec  B) 4 ½ sec  C) 3 ½ sec  D) 8 ½ sec  E) 2 ½ sec

Solution: D = 70   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 70/20 = 3 ½ sec   Answer: 3 ½ sec
Answer: C
What is the least number of digits (including repetitions) needed to express 10^500 in decimal notation?	Choose the correct choice from the following answers: A) a) 4 B) b) 100 C) c) 101 D) d) 501 E) e) 1001

Solution: 10^n is a decimal number with a 1 followed by n zeros.   So 10^500 will include 500 0's + 1 digit for 1 = 501   So the answer is d) 501.
Answer: D
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?  Choose the correct answer.
A) 99%
B) 3%
C) 2%
D) 4%
E) 8%

Solution: SP of first article = 1000   Profit = 20%   CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3   SP of second article = 1000   Loss = 20%   CP = (SP)*[100/(100-L)] = 5000/4= 
5000/4 = 1_250
1250   Total SP= 2000   Total CP = 2500/3 + 1250 = 6250/3   CP is more than SP, he makes a loss.   Loss = CP-SP = (6250/3)- 2000 = 250/3   Loss Percent = [(250/3)/(6250/3)]*100   =0.04 * 100= 
0.04 * 100 = 4
4%   Answer:4%
Answer: D
Set X consists of the integers from 1 to 12, inclusive, while set Y consists of the integers from 0 to 20, inclusive. How many distinct integers do belong to the both sets at the same time?
Choose the correct choice from the following choices:  A) 12  B) 15  C) 10  D) 20  E) 8

Solution: X= {1,2,3,4, 5,6, 7, 8, 9, 10, 11, 12}   Y = {0,1,2,3,4,5,6, 7, 8, 9, 10,11,12,13,14,15,16,17,18,19,20}   Common elements = {1,2,3,4,5,6,7,8,9,10,11,12} = 12 elements   12nswer: Option 12.
Answer: A
A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.	Answers:
A) .4 km B) 1.4 km C) 2.4 km D) 3.4 km E) None of these

Solution: Explanation:   Let the distance is x km   Rate downstream = 5 + 1= 
5 + 1 = 6
6 kmph   Rate upstream= 5 - 1= 
5 - 1 = 4
4 kmph   then   x/6 + x/4= 1 [because distance/speed = time]   => 2x + 3x = 12   => x = 12/5= 
12/5 = 12/5 = around 2.4
2.4 km   Option 2.4 km
Answer: C
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 10 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?  Choose the correct option.
A) 12
B) 24
C) 36
D) 60
E) 72

Solution: the difference of the speed is 5m per second so in one minute Sacha will be 300 m ahead of Bruno..   Bruno will cover this in  300/5= 
 300/5 = 60
60 secs..   60
Answer: D
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 20th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choose the correct answer:
A) (1) $96
B) (2) $84
C) (3) $80
D) (4) $70
E) (5) $48

Solution: 4+7+4+3+2= 
4+7+4+3+2 = 20
20   The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.   1st to 2nd term= 48 (2 days)   3rd to 5th term = 70 (3 days)   6th to 9th term = 80 (4 days)   10th to 16th term = 84 (7 days)   17th to 20th term = 96 (4 days)   Pick (1) $96
Answer: A
Joan and Karl each bought a stove and the sum of their purchases was $700. If twice of what Joan paid was $80 more than what Karl paid, what did Joan pay for her stove?	Options
A) $240
B) $260
C) $280
D) $300
E) $320

Solution: J+K=700 so K=700-J   2J=K+80   2J=(700-J)+80   3J=780   J=260   The answer is $260.
Answer: B
How many ways are there for 2 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?	Choose the most appropriate option
A) 6  B) 12  C) 72  D) 4  E) 720

Solution: So Mary has her own chair, fixed position. Other two females around the table can sit in 2 ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 2 males will sit between them then no two female or two male will sit next to each other (female-male-female-male-female-male). But these males on their spots can also sit in different ways, namely in 2! different ways, so total  2*2= 
 2*2 = 4
4   Answer 4.
Answer: D
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for r dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs? Pick.
A) (x – s)r – sd B) xr – (xd – sd) C) xd – sr D) (x – s)d – xr E) (s – r)d – xr

Solution: Answer D:   The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time r, so the profit is (x-s)d-xr.
Answer: D
At Company X, senior sales representatives visit the home office once every 16 days, and junior sales representatives visit the home office once every 12 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period? Pick one:	A) 10%	B) 25%	C) 33%	D) 50%	E) 67%

Solution: Each 48-day period, senior representatives visit the home office 3 times while junior representatives visit 4 times, thus 33% more.   The answer is 33%.
Answer: C
Which of the following values of x will satisfy the in equality 2x2 – 7x < 15? Choose the correct choice from the following answers
A) -3⁄2 < x < 5
B) x > 5 or x < -3⁄2
C) x< 5 and x < -3⁄2
D) x > -3⁄2 and x > 5
E) None of these

Solution: 2x2 – 7x < 15   or, 2x2 – 7x – 15 < 0   or, 2x2 – 10x + 3x – 15 < 0   or, 2x(x – 5) + 3(x – 5) < 0   or, (x – 5)(2x + 3) < 0   ----------|--------------------|--------   +ve -3⁄2 –ve 5 +ve   -3⁄2 < x < 5   -3⁄2 < x < 5nswer -3⁄2 < x < 5
Answer: A
The speed at which a man can row a boat in still water is 20 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Choose the correct option.
A) 16 seconds	B) 76 seconds	C) 26 seconds	D) 9.4 seconds	E) 18 seconds

Solution: Speed of the boat downstream = 20 + 3= 
20 + 3 = 23
23 kmph= 23 * 5/18 = 115/18 m/s   Hence time taken to cover 60 m   = 60*18/115   = 9.4 seconds.   Answer: 9.4 seconds
Answer: D
If n is an integer greater than 6, which of the following must be divisible by 4?
Select:  A) 1. n (n+1) (n-4)  B) 2. n (n+2) (n-1)  C) 3. n (n+3) (n-5)  D) 4. n (n+4) (n-2)  E) 5. n (n+5) (n-6)

Solution: We need to find out the number which is divisible by three,   In every 3 consecutive integers, there must contain 1 multiple of 3.   So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three   1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)   2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)   3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)   4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)   5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)   from the above onlyoption Ais product of consecutive three numbers.   2. n (n+2) (n-1)
Answer: B
The average monthly expenditure of a family for the first four months is Rs 2,750, for the next three months is Rs 2,940 and for the last five months Rs 3,130. If the family saves Rs 5,330 during the whole year, find the average monthly income of the family during the year.
Choose the correct choice:
A) Rs 3,800  B) Rs 3,500  C) Rs 3,400  D) Rs 4,200  E) None of these

Solution: Average monthly expenditure of 4 months   = Rs 2,700   Total expenditure for 4 months = Rs 2,700 x 4   = Rs 11,000   Average monthly expenditure of 3 months   = Rs 2,940   Total expenditure of 3 months = Rs 2,940 x 5   = Rs 8,820   Average monthly expenditure of 5 months   = Rs 3,130   Total expenditure of 5 months = Rs 31,020   = Rs 1,560   Total expenditure in the whole year   = Rs 11,000 + 8,820 - Rs 15,650 = Rs 35,470.   Saving during the whole year = Rs 5,330.   Total income of the family during the year= Rs 35,470 + Rs 5,330 = Rs 40,800.   Therefore, Average monthly income during the year 40800/12 = Rs 3,400.   ANSWER:Rs 3,400
Answer: C
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Select.
A) 27 sec B) 16 sec C) 56 sec D) 15 sec E) 12 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 280 * 2/35= 
280 * 2/35 = 16
16 sec   Answer16 sec
Answer: B
If 36 men can do a piece of work in 25 hours, in how many hours will 11 men
do it ?
Choose the correct choice from the following:
A) 65 hours
B) 82 hours
C) 30 hours
D) 62 hours
E) 66 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   11 : 36 : : 25 : x	(11 x x) = (36 x 25)	(36 x 25)/11 = 82   Hence, 15 men can do it in 60 hours.   Answer is 82 hours.
Answer: B
which number need to add to 859622 to get a no. exactly divisible by 456?  Select the correct option:	A) 345466	B) 465767	C) 565676	D) 645469	E) 859622

Solution: Dividend = Quotient * Divisor + Reminder   859622 / 456 gives quotient = 1885 and reminder = 62.   So, the next number divisible by 456 is 456 places infront of 456 * 1885   Which means 456 – 62 = 394 should be added to 859622.   859622
Answer: E
If c is a positive even integer, and n and m are consecutive integers, then (n - m)^c/(m - n)^c =  Choose one.
A) -2	B) -1	C) 0	D) 1	E) 2

Solution: c= +ve even integer   Since,n and m are consecutive integers , their difference will be 1   ((n-m)^c)/((m-n)^c)= ((n-m)/(m-n))^c = (-1)^c   Since we are raising the difference of n and m to power c , which is even , the answer will be 1 .   Answer 1
Answer: D
P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.  Choose the correct option:
A) 17:5	B) 17:3	C) 17:6	D) 17:7	E) 17:8

Solution: Explanation:   In this type of question as time frame for both investors is equal then just get the ratio of their investments.   P:Q = 85000:15000   = 85:15   = 17:3   Option 17:3
Answer: B
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price R per glass on the second day?	Choose the correct choice
A) $015  B) $0.20  C) $0.30  D) $0.40  E) $0.45

Solution: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;   On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;   So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.   We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.   Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.   Answer: $0.40.
Answer: D
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?  Choose the correct choice from the following choices
A) 5500  B) 6500  C) 7000  D) 7700  E) 7500

Solution: A : B : C   =20000×24:15000×24:20000×18   =20×4:15×4:20×3=4×4:3×4:4×3   =4:3:3   B's share = 25000×3/10=7500   Answer is 7500.
Answer: E