MU-NLPC/Calc-aqua_rat huggingface dataset:
A company that ships boxes to a total of 12 sales centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter) Pick.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Back-solving is the best way to solve this problem.   You basically need 12 combinations (including single colors)   If we start from option 1->   1=> 4C2 + 4 = 10 (Not enough)   2=> 5C2 + 5 = 15 (Enough)   Since the minimum number is asked. It should be 5.   5nswer - 5
Answer: A
If 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choose the most appropriate option:
A) 10% B) (8) 20% C) 30% D) 60% E) 65%

Solution: I didn't understand how to connect 20 percent with the whole equation.   Why 20 is out of the percentile diagram (circles) but inside of 100?   20% appeared in the exam; however did not answer Question AQuestion B correctly   So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose   I am doing it this way:   Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.   Now,   100 - [(75 - x) + x + (65 - x)] = 20 .......... values are in percent   x = 20 - 100 + 140= 
20 - 100 + 140 = 60
60   Ans: 60%
Answer: D
Two friends phil and andrew started running simultaneously from a point P in the same direction along a straight running track. The ratio of speeds of phil and andrew was 2:5. Two hours later, andrew turned back and started running running backwards at one-fifth of his original speed. He met phil at a distance of 10 km from the point P. what was phil's running speed ? Pick one
A) 1.25 km/hr	B) 2.25 km/hr	C) 2.5 km/hr	D) 3.75 km/hr	E) 6.25 km/hr

Solution: let speed of Phil was 2x and that of Andrew was 5x.   They move in same direction. relative speed = 3x.   In two hours distance between two = 3x * 2 = 6x.   Now Andrew turns back. His speed is now x.   Now both runners will have a relative speed : 2x+x 3  * 2= 
3  * 2 = 6
6x.   Now Andrew turns back. His speed is now x.   Now both runners will have a relative speed : 2x+x= 3x.   The two runners will meet, when the distance between them = 6x is exhausted.   this will be done in 2 hours.   Now in initial 2 hours + these 2 hours Phil ran:   2x * 4 hours = 8x distance   8x  2  * 4= 
 2  * 4 = 8
8x distance   8x= 10   x = 10/8 = 1.25.   Phil's speed = 2x = 2.5.   2.5 km/hr is the answer.
Answer: C
Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?	Choose the correct choice from the following options:
A) 2
B) 3
C) 5
D) 7
E) 8

Solution: no of girls X   no of boys Y   x-1 = y   y-1 = 2x   multiple first with 2   2x-2= 2y   y-1 -2 = 2y => y=3 ignore sign   put in 1 x= 4   total 7   ANSWER:7
Answer: D
The G.C.D of 1.08, 0.36 and 1.2 is  Choose the correct choice.
A) 0.19  B) 0.1  C) 0.18  D) 0.11  E) 0.12

Solution: 0.12xplanation:   Given numbers are 1.08 , 0.36 and 1.2   H.C.F of 108, 36 and 120 is 12 [because G.C.D is nothing but H.C.F]   therefore H.C.F of given numbers = 0.12   Answer: 0.12
Answer: E
A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together?	Pick.
A) 110
B) 127
C) 154
D) 165
E) 145

Solution: DETAILED SOLUTION   Given, 7A = 5127   42A = 30127   Also given 6127 = 11C   30127 = 55C   Therefore 42A = 30127 = 55C   Let 42A = 30127 = 55C = k   Rewriting, A/55 = 127/30 = C/42   The least possible integral values for A, 127, C will be A = 42; 127 = 30 and C = 55   Total = 42 + 30 + 55= 
42 + 30 + 55 = 127
127   Correct Answer: 127
Answer: B
If a certain toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choose the correct answer
A) 1/4
B) 1/2
C) 2/3
D) 2
E) 4

Solution: Let 2ec rev =100   Then Nov rev is 4/5 (100) => 80   Therefore Jan rev = 3/4(Nov rev) = 3/4(80) => 60   Hence 2ec rev = x*( Nov rev+Jan rev)/2   100 = x* (80+60)/2   x = 100/70 => 1.42=2   Ans) 2
Answer: D
In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many X different victory circles are possible?
Options
A) 24 B) 52 C) 96 D) 144 E) 648

Solution: Possible scenarios are:   1. Gold/Silver/Bronze/No medal (no ties) - 4!=24;   2. Gold/Gold/Silver/No medal - 4!/2!=12;   3. Gold/Silver/Silver/No medal - 4!/2!=12;   4. Gold/Gold/Gold/No medal - 4!/3!=4.   Total X: 24+12+12+4= 
24+12+12+4 = 52
52   Answer: 52.
Answer: B
For the positive integers x, x + 2, x + 4, x + 7, and x + 32, the mean is how much greater than the median? Choose the most appropriate option
A) 0  B) 1  C) 2  D) 4  E) 5

Solution: Mean = (x + x+2 + x+4 + x+7 + x+32)/5   =(5x+45)/5   =x+9   Median = x+4   Thus Mean - Median = x+9 - (x+4)   =5   Answer +9 - ( +4)= 
+9 - ( +4) = 5
5   Answer= 5
Answer: E
In right triangle ABC, AC is the hypotenuse. If AC is 10 and AB + BC = 20, what is the area of the triangle ABC?
Select:  A) 225  B) 450  C) 75  D) 200  E) 200√2

Solution: Square AB + BC = 20:   (AB)^2 + 2*AB*BC + (BC)^2 = 400. Since (AC)^2 = (AB)^2 + (BC)^2 = 10^2 = 100, then (AB)^2 + 2*AB*BC + (BC)^2 = 100 + 2*AB*BC = 400.   100 + 2*AB*BC = 400.   AB*BC = 150.   The area = 1/2*AB*BC = 75.   Answer: 75.
Answer: C
Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 60 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?	Choose the correct answer:
A) 3 : 7	B) 4 : 9	C) 13 : 7	D) 5 : 3	E) 6 : 11

Solution: Car A travels 50 × 8 = 400 km   Car B travels 60 × 4 = 240 km   The ratio is 400 : 240 = 40 : 24 = 5 : 3   The answer is 5 : 3.
Answer: D
If ‘DELHI’ is coded as ‘15’, ‘RAJASTHAN’ is coded as ’45’, then ‘MUMBAI’ is coded as ? Options.
A) 24 B) 21 C) 18 D) 19 E) None

Solution: delhi=38->38-8/2=15   rajasthan=92->92-2/2=45   mumbai=59->59-9/2=25   so none   ANSWNoneR:None
Answer: E
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 68 years now, the son's age five years back was? Choose the most appropriate option:	A) 16 years	B) 14 years	C) 18 years	D) 19 years	E) 29 years

Solution: Let the son's present age be x years.   Then, (68 - x) = x   2x = 68 => x = 34   Son's age 5 years back = (34 - 5)= 
(34 - 5) = 29
29 years.   Answer: 29 years
Answer: E
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?	Choose the correct option:
A) 60 hours	B) 50hours	C) 65 hours	D) 45 hours	E) 30 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   15 : 36 : : 25 : x<=>(15 x x) =(36 x 25)<=>(36 x 25)/15 = 60   Hence, 15 men can do it in 60 hours   60 hoursnswer is 60 hours.
Answer: A
At what time between 2 and 3 o'clock will the hands of a clock be together? Choose the correct option:
A) (10 + 10/11) min past 9
B) (10 + 10/11) min past 2
C) (10 + 10/11) min past 3
D) (10 + 10/11) min past 7
E) (10 + 10/11) min past 1

Solution: Explanation:   At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.   To be together, the minute hand must gain 10 minutes over the hour hand.   Now, 55 minutes are gained by it in 60 min.   10 minutes will be gained in min. = min.   The hands will coincide at min. past 2.   Answer: (10 + 10/11) min past 2) (10 + 10/11) min past 2
Answer: B
X completes a work in 12 days and Y complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?	Choose the correct option:
A) 6 days
B) 8 days
C) 10 days
D) 12 days
E) 14 days

Solution: If X can complete a work in x days and Y can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.   8 days)
Answer: B
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choose the correct choice from the following
A) 2.3 B) 2.6 C) 3.6 D) 4.5 E) 4.6

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.   Required average = (9.2 / 2) = 4.6.   4.6
Answer: E
A necklace is made by stringing N individual beads together in the repeating pattern blue bead, green bead, white bead, brown bead, and orange bead. If the necklace design begins with a blue bead and ends with a white bead, then N could equal Pick one:
A) 79
B) 76
C) 68
D) 64
E) 72

Solution: Recognize that we are going to have to look for an answer thats a multiple of 5, plus 3.   Mutliple of 5 because there are 5 beads in the pattern, and plus 3 because the bead ends on white, which is 3 into the pattern.   I just went through all the answer choices, and only E fits. 5x13 = 65, and   65+3= 
  65+3 = 68
68   Answer : 68
Answer: C
An = 2An-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If A5 = Q4 and A7 = 316, what is the first value of n for which Qn is an integer?	Choose the correct choice from the following: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Assuming I have understood the symbols used correctly answer is 3- 3   A7 = 2S6 +4 = 316   A6 = 312/2= 
312/2 = 156
156= 2A5 + 4   A5 = 152/2= 
152/2 = 76
76= Q4   Q4 = 4Q3 + 8 = 76   Q3 = 68/4= 
68/4 = 17
17   Q3= 4Q2 + 8 = 17   Q2 = 9/4= 
9/4 = 9/4 = around 2.25
2.25   Q2= 4Q1 + 8   Q1 will not be integer=3
Answer: C
The number of singles that a baseball player hit increased 12 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season? Choices.
A) 1:2  B) 2:5  C) 1:3  D) 2:3  E) 3:5

Solution: Soln:-   1.12S + 0.98D = 1.02[S + d]   0.10S = 0.04D   S/D = 2/5   ANSWER:2:5
Answer: B
If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is? Answers:
A) –3
B) 9/2
C) 1
D) 2
E) 3

Solution: x = 3y   2a - 3y = 3(3b - y)   2a - 3y = 9b - 3y   2a = 9b   a/b = 9/2   Answer: 9/2
Answer: B
If Greg buys 3 shirts, 6 trousers and 4 ties, the total cost is $80. If Greg buys 7 shirts, 2 trousers and 4 ties, the total cost is $80. How much will it cost him to buy 5 trousers, 4 shirts and 4 ties?
Options:
A) $60
B) $64
C) $80
D) $96
E) Cannot be determined

Solution: Solution: 3x+6y+4z=80 7x+2y+4z=80   adding both the equations= 10x+8y+8z=160   5x+4y+4z=80   ans $80
Answer: C
A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Choose the correct option:
A) 47
B) 46.8
C) 48.8
D) 49
E) 27

Solution: Explanation:   g% = 22 + 22+ (22*22)/100   = 48.8%   Answer: 48.8
Answer: C
Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes?
Pick.
A) $125 B) $135 C) $145 D) $155 E) $165

Solution: Let P be Jack's original paycheck value. The value after taxes T is given byT = P - 20%PLet S be the amount put into savings, given byS = T - 80%Tfor S = $20, solve for P$20 = (P - 20%P) - 80%(P - 20%P)P = $125Correct answer $125
Answer: A
In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A?	Select:
A) 0
B) 5
C) 10
D) 15
E) 25

Solution: You should notice that 55*2= 
55*2 = 110
110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0= 
0*0 = 0
0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*3= 
5*3 = 15
15 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).   Answer: D.   !   Please post PS questions in the PS subforum:gmat-problem-solving-ps-140/   Please post DS questions in the DS subforum:gmat-data-sufficiency-ds-141/   No posting of PS/DS questions is allowed in the mainMath forum.   15
Answer: D
The average of first ten prime numbers which are odd is? Choose the correct choice from the following choices: A) 15.6 B) 15.1 C) 15.9 D) 15.8 E) 15.3

Solution: Sum of first 10 prime no. which are odd   = 158   Average = 158/10= 
158/10 = 79/5 = around 15.8
15.8   Answer:15.8
Answer: D
The duplicate ratio of 3:4 is?
Choose the correct option
A) 1:2	B) 1:4	C) 1:8	D) 9:16	E) 1:13

Solution: 3^2: 4^2 = 9:16   ANSWER:9:16
Answer: D
The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 20 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?  Choose the correct choice
A) 15%	B) 20%	C) 40%	D) 50%	E) 6%

Solution: Let rate in R = 100x   then P = 75x   G = 100y   P = 80y   Thus   75 x=80y   or x = 1.06 y   Ans R = 106y   so increase = 6%   Answer: 6%
Answer: E
If you are rolling 2 dice, what is the probability of rolling a 11?	Choose the correct choice
A) 1/2 B) 4/15 C) 5/18 D) 2/3 E) 1/6

Solution: The answer would be 5/18, as there are 10/36 ways to get 11. Answer: 5/18
Answer: C
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?  Pick one.
A) 18.000 d/sec  B) 28.000 d/sec  C) 38.000 d/sec  D) 26.000 d/sec  E) 35.000 d/sec

Solution: 3000 revolutions / minute   = 3000*360 degrees / 60 seconds   = 18,000 degrees / second
Answer: A
If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?	Choose one:
A) compounding annually	B) compounding quarterly	C) compounding monthly	D) compounding daily	E) All four of these would produce the same total

Solution: This will produce the maximum yield as the interest accrued each day will be added the very next day to the Principal amount for further computation of interest.   This process will be repeated every day till the amount matures   Compounding annually will give least returns   Compounding daily :Answer: compounding daily
Answer: D
If the speed of X meters per second is equivalent to the speed of Y meters per hour, what is Y in terms of X? (1 kilometer=1000 meters) Choose the correct answer:
A) 15x/18 B) 6x/5 C) 18x/5 D) 60x E) 3600x

Solution: If the speed of X meters per second is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)   We need to find an equation with x in the answer...   convert all measurements so they are alike (i.e. convert km to m, seconds to hours, etc)   Speed = x/t   x meters/second   (3600) x meters/hour   Speed = y/t   y M/hour   Speed = y/hour   y/hour = (3600) x meters/hour   y/1hour = x(3600) / 1 hour   y= x(3600)   y = 3600x   Answer: 3600x.
Answer: E
if 11 oranges bought 10 r and 10 oranges sold 11 r .what is the profit	Choose the correct choice: A) 11 % B) 20 % C) 22 % D) 21 % E) 23 %

Solution: suppose he bought 110 apples.   cp= Rs 100   SP=Rs 121   % profit = 100*(121-100)/100= 
100*(121-100)/100 = 21
21 %   ANSWER:21 %
Answer: D
What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?  Select:
A) 9  B) 12  C) 14  D) 16  E) 18

Solution: step 1: cut the cake from middle in two equal pieces. this is the first cut and we get two pieces.   step 2: put one piece on the other piece vertically and cut them from top to bottom. this is the 2nd cut and we have 4 piece.   step 3: again put the 4 pieces on each other vertically and cut from top to bottom. this is 3rd cut and we have 8 piece.   step[ 4: again put all the 8 pieces on each other vertically and cut from top to bottom. this is the 4th cut and we have 16 equal piece.   ANSWER:16
Answer: D
Raman covers 1 km in 8 min while suman covers the same distance in 10 min. By what distance does Raman beat Suman ?  Choose the correct choice from the following answers:
A) 150 m B) 65 m C) 190 m D) 200 m E) 220 m

Solution: Raman covers 1 km in 8 min   and suman cover 1 km in 10 min.   If they starts together, then distance covered by suman in 8 min   = (1000/10) x 8 = 800 m   ∴ Raman will beat suman by   (1000 - 800 )= 
  (1000 - 800 ) = 200
200 m   ANSWER :200 m
Answer: D
How much 60% of 50 is greater than 40% of 30?  Choose the correct choice from the following:
A) 18
B) 28
C) 26
D) 27
E) 23

Solution: (60/100) * 50 – (40/100) * 30   30 - 12= 
30 - 12 = 18
18   18nswer:18
Answer: A
If 16 machine can finish a job in 45 days, then how many more machines would be needed to finish the job in one -third less time?  Choose the correct option: A) a. 3 B) b. 8 C) c. 10 D) d. 12 E) e. 16

Solution: You might think of this in a management context - we can use the principle of 'person-hours' to solve any problem where we have identical workers. So, using simpler numbers, suppose you know that 6 identical employees, working simultaneously, would finish a job in 5 hours. Then that job requires 6*5= 
6*5 = 30
30 total hours of person-work. If instead you wanted the job done in 3 hours, you'd assign   30/3= 
  30/3 = 10
10 employees to do the job, because you want to get a total of 30 hours of work from the employees.   We can solve this problem identically. If 16 machines (identical ones, I assume) work simultaneously for 45 days, they will do a total of 16*45 machine-days of work. So the job requires 16*45 days of machine work in total. We instead want the job done in 1/3 less time, so in 30 days. So we'll need 16*36/30= 
16*36/30 = 96/5 = around 19.2
19.2 ~=19 machines, or 3 additional machines.   a. 3
Answer: A
A cubical rectangular bar has the dimensions with the ratio 5 : 4 : 3. Its volume is 7500. What
is the surface area of the bar?	Select:  A) 1350  B) 2350  C) 4350  D) 5640  E) 8456

Solution: volume of cubiod is lbh:5x*4x*3x=7500;   x=5   now,area is 2(lb+bh+lh):2(25*20+20*15+25*15)=2350.   therefore,area=2350   1350NSWER:1350
Answer: A
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 8 managers?  Pick one:
A) 35
B) 36
C) 37
D) 38
E) 39

Solution: 8/7 * 32 = 36.6   The answer is 36.
Answer: B
If a positive odd integer N has p positive factors, how many positive factors will 2N have ? Choices:  A) p  B) 2p  C) P+1  D) 2p+1  E) Cannot be determined

Solution: no of factor of a=b^m * c^n * d^o * e^q.... = (m+1)*(n+1)*(o+1)*(q+1)...   Given that N is an odd integer. So N can be b^m * c^n * d^o * e^q, where b,c,d,e are odd numbers.   The number of factors of N = (m+1)*(n+1)*(o+1)*(q+1) = p   For a number 2N = 2^1 * b^m * c^n * d^o * e^p, number of factors will be (1+1)*(m+1)*(n+1)*(o+1)*(q+1) = 2*p   So, number of factors of 2N (1+1)*( +1)*( +1)*( +1)*( +1)= 
(1+1)*( +1)*( +1)*( +1)*( +1) = 2
2*p   So, number of factors of 2N= 2*p   Hence, answer will be 2p.
Answer: B
What is the remainder when 1234 * 6789 * 1111 is divided by 19	Pick.
A) 15 B) 23 C) 7 D) 10 E) 43

Solution: 12345/19==> Remainder=14   678910/19==> Remainder=2   111111/19==> Remainder=18   =14*2*18= 
14*2*18 = 504
504/19==> Remainder=10   Answer: 10
Answer: D
Aaron will jog from home at 3 miles per hour and then walk back home by the same route at 6 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Pick one: A) 3 B) 6 C) 2 D) 5 E) 8

Solution: xyt/(x+y)   x= 3, y=6, t= 3   3*6*3/3+6 = 54/9= 
54/9 = 6
6   Answer : 6
Answer: B
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If C is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Answers:
A) 0<y<4
B) 4<y<10
C) 10<y<20
D) 20<y<30
E) y>30

Solution: C Smallest prime factor is greater than 29. So answer is y>30
Answer: E
The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ?	Select the correct option
A) May 21
B) April 11
C) May 20
D) April 10
E) June 30

Solution: Explanation :   Price of Darjeeling tea (in rupees per kilo gram) is 100 + 0.10n   Price of Ooty tea (in rupees per kilo gram) is 89 + 0.15n   Price of the Darjeeling tea on the 100th day = 100 + 0.1 × 100 = 110.   => 89 + 0.15n = 110.   => n = 140.   Number of days in the months of January, February, March and April in the year 2007 = 31 + 28 + 31 + 30= 
31 + 28 + 31 + 30 = 120
120.   Therefore, the price of both the tea will be equal on 20th May.   Answer : May 20
Answer: C
Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choose the correct answer
A) Rs. 692.80	B) Rs. 820	C) Rs. 990	D) Rs. 1385	E) None

Solution: Answer   Income of the deceased = Total income of 4 members - total income of remaining 3 members.   = 735 x 4 - 650 x 3 Rs.   = 990 Rs.   Rs. 990orrect Option: Rs. 990
Answer: C
he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream? Choose the correct choice from the following answers
A) 12 kmph.
B) 17 kmph.
C) 14 kmph.
D) 21 kmph.
E) 19 kmph.

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 42/3= 
42/3 = 14
14 kmph.   Answer: 14 kmph.
Answer: C
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?  Options:	A) 39:40	B) 39:47	C) 39:50	D) 39:44	E) 39:41

Solution: 3: 4   39:40 = 3/7*210= 
3/7*210 = 90
90   390: 400   39:40.39:40nswer:39:40
Answer: A