MU-NLPC/Calc-aqua_rat huggingface dataset:
Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 12 coconut doughnuts, and 10 jam-filled doughnuts. How many doughnuts did Anne buy in all? Options:
A) 25
B) 34
C) 39
D) 21
E) 11

Solution: Add the numbers of doughnuts.   12 + 12 + 10= 
12 + 12 + 10 = 34
34.   Answer is 34.
Answer: B
A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job? Choose the correct choice from the following.
A) 22 B) 21 C) 77 D) 99 E) 12

Solution: WC = 1:2   2x + x = 1/14 => x = 1/42   2x = 1/21 => 21 days   Answer: 21
Answer: B
The mass of 1 cubic meter of a substance is 400 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)	Select:	A) 0.8	B) 1.25	C) 8.0	D) 2.5	E) 80.0

Solution: Density is mass divided by volume. So density of the given substance will be mass/volume=400kg/1m^3=400 kg/m^3 or 1g/2.5cm^3=0.4 g/cm^3.   Next, ask yourself if 400,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/400,000 = 10/4= 
10/4 = 5/2 = around 2.5
2.5 cubic centimeters.   Answer is 2.5
Answer: D
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B =2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?  Choose the correct choice from the following options:
A) 20.23  B) 18  C) 30.93  D) 20.93  E) 10.93

Solution: A:18 = 2:3   18:C = 2:5   A:18:C =4:6:15   6/25 * 75= 
6/25 * 75 = 18
18   ANSWER:18
Answer: B
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.32000?	Choose the most appropriate option:
A) 81000
B) 33888
C) 77678
D) 200988
E) 40500

Solution: 32000* 9/8 * 9/8= 
32000* 9/8 * 9/8 = 40_500
40500   Answer: 40500
Answer: E
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?	Choose the correct choice from the following choices:  A) 166 2/9  B) 166 2/5  C) 166 2/8  D) 166 2/3  E) 166 2/1

Solution: 5% - 2% = 3%   3% ---- 5   100% ---- ?   5  - 2= 
5  - 2 = 3
3%   3% ---- 5   100% ---- ?=> 166 2/3   Answer:166 2/3
Answer: D
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 60 minutes. How long will it take to fill the cistern if all the three are opened at the same time?  Choose the correct choice from the following answers:
A) 15 min	B) 15 1/7 min	C) 17 1/7 min	D) 7 1/7 min	E) 7 2/7 min

Solution: 1/20 + 1/30 - 1/60 = 4/60   60/4= 
60/4 = 15
15   15 minNSWER:15 min
Answer: A
A goods train runs at a speed of 72 kmph and crosses a 260 m long platform in 26 seconds.What is the length of the goods train?	Choose the correct choice from the following answers:
A) 230 m B) 240 m C) 260 m D) 270 m E) 250 m

Solution: s=260+x/t   72*5/18=260+x/26   x=260   ANSWER:260 m
Answer: C
Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choose the correct answer.
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: Explanation:   26 trees have 25 gaps between them,   Required distance (225/25) = 10   Option 9
Answer: B
Three printing presses, W, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take W, working alone at its constant rate, to do the same job?	Choose one.
A) 8	B) 10	C) 12	D) 15	E) 20

Solution: =1/4-1/5=1/20   W can do 1/20 job in 1 hour   W can do the whole job in 20 hours=20
Answer: E
An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are 2 blue and 1 red?	Choose the correct choice from the following options.
A) 25/323  B) 21/969  C) 28/989  D) 74/879  E) 23/589

Solution: Sample space = no. of ways 3 balls were drawn from urn = 19C3 = 969   No. ways 2 blue balls and 1 red were drawn from bag = 6C2 * 5C1 = 75   Probability = 75 / 969 =25/323   25/323ns - 25/323
Answer: A
If the SI on a certain sum of money is 4/25 of the sum and the rate per cent equals the number yrs, then the rate of interest/annum is? Pick one:
A) 4% B) 55 C) 6% D) 7% E) 9%

Solution: Sol Let the prmcipal be Rs. x   Then the simple interest (1)   Let the me ofinterestp 3 be 1%,   than tune m : ryears   max! max   pm   ‘X:5   4%   4%
Answer: A
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Choose one
A) 228	B) 277	C) 500	D) 288	E) 212

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters.Answer:500
Answer: C
Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.  Choose the correct choice from the following options.
A) 864  B) 863  C) 865  D) 1728  E) 890

Solution: Explanation :   The required number of ways :-   =>3C2×4!×4!.   =>1728.   Answer : 1728
Answer: D
The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 41 on the fourth day, his average earning for the whole week is ? Select the correct option.
A) Rs . 18.95  B) Rs 16  C) Rs. 17  D) Rs. 25.71  E) None of these

Solution: Answer   Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x18 + 4 x 22 -41   = Rs. 119   âˆ´ Average earning = 119 / 7   = Rs. 17   Rs. 17orrect Option: Rs. 17
Answer: C
FOG + FOG + FOG + FOG = 1444.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?  Choose the correct choice from the following choices: A) 11 B) 12 C) 13 D) 10 E) 15

Solution: given,FOG + FOG + FOG + FOG = 1444   4(FOG)=1444   =>FOG=361   Face value of F is:3   Face value of O is:6   Face value of G is:1   so F+O+G=3+6+4=10   ANSWER:10
Answer: D
A fruit wholesale dealer has been paid $329,864 in his savings account. What is the least amount of money (in whole number of dollars) that he must add to his account if if he wants to be sure that all 9 of his salesmen have paid evenly?	Choose the correct choice from the following answers
A) $1
B) $2
C) $3
D) $4
E) $6

Solution: To find the least amount the fruit wholesale dealer should add to his account to ensure all 9 of his salemen have paid evenly,   he needs to make the total divisible by 9   Simply add the individual digits of the total = 3+2+9+8+6+4= 
3+2+9+8+6+4 = 32
32   If you add 4 , the number is divisible by 9 (32+ 4)   Correct Option : $4
Answer: D
If m,n,o,p are four consecutive even numbers, their average is
Choose the most appropriate option:	A) (m + 3)	B) 5(m+4)	C) 5(m+n+o+p)	D) mnop	E) None of these

Solution: Explanation :   Clearly,n=m+2,o=m+4,p=m+6.   (m + 3)verage (m + (m + 2) + (m + 4) + (m + 6)) / 4   = (4m + 12) / 4   = (m + 3)   (m + 3)nswer : (m + 3)
Answer: A
A shopkeeper sold an article at $100 with 45% profit. Then find its cost price?
Select the correct option.
A) $120  B) $100  C) $91  D) $72  E) $69

Solution: cost price = selling price *100/(100+profit)   C.P. = 100*100/145 = $69(approximately)   Answer is $69
Answer: E
Six lights begin to flash together at 12:00 noon and flash respectively at intervals of 3, 4, 5, 6, 7, and 8 seconds. Not including the flash at 12:00 noon, how many more times will all six lights flash together before 1:00 pm (i.e. one hour later)?  Choose the correct answer.
A) 4	B) 6	C) 8	D) 10	E) 12

Solution: The least common multiple is 2*2*2*3*5*7= 
2*2*2*3*5*7 = 840
840.   3600 seconds / 840= 4 + remainder.   The answer is 4.
Answer: A
A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $225.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?  Choose the correct option:
A) $0.60 B) $0.80 C) $1.00 D) $1.20 E) $1.60

Solution: Let price of a sundae = S   Price of ice cream bar = .6 $   125 * .6 + 125*S = 225   => 125*S = 150   => S = 1.2   Answer $1.20
Answer: D
If a can do a work in 10 days and a and b can do a same piece of job in 5 days. IN how days can do a work b alone?
Choose the correct answer.
A) 10  B) 20  C) 5  D) 15  E) 9

Solution: a's one day work=1/10   a+b=1/5(one day work)   b=(1/5)-a=(1/5)-(1/10)   =1/10(one day work)   b can done a work in 10 days.   10nswer option 10
Answer: A
How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ,768,1536 Pick
A) 8
B) 9
C) 67
D) 5
E) 10

Solution: Explanation:   Here a = 3 and r = 6/3= 
6/3 = 2
2. Let the number of terms be n.   Then, t= 384 => a * r^(n-1) = 1536   => 3 * 2^(n-1) = 1536 => 2^(n-1) = 512 = 2^(9)   => n-1 = 9 => n = 10   Answer: 10
Answer: E
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 4 buckles and 6 buttons?  Choose the most appropriate option: A) 7/15. B) 4/9. C) 6/11. D) 1/2. E) 8/15.

Solution: 2buttons + 2buckles = 1/3(11buckles + 3buttons)   6buttons + 6buckles = 11buckles + 3buttons   3buttons = 5buckles   Weight of 3buttons and 2buckles = 5buckles + 2buckles = 7buckles   Weight of 6buttons and 5buckles = 10buckles + 4buckles = 14buckles   (3buttons and 2buckles) = x * (6buttons and 5buckles)   7 = x*14   x = 7/14=1/2   Answer: 1/2.
Answer: D
A 4-letter code word consists of letters L, M, AND N. If the code includes all the three letters, how many such codes are possible?
Choose the correct answer.
A) 72
B) 36
C) 24
D) 44
E) 22

Solution: Note that the correct answer to this question is 36, not 72.   L-LMN can be arranged in 4!/2!=12 ways;   M-LMN can be arranged in 4!/2!=12 ways;   N-LMN can be arranged in 4!/2!=12 ways;   Total:  12+12+12= 
 12+12+12 = 36
36.   Answer: 36
Answer: B
At a certain organisation, the number of male members went up by 14% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000? Choose the correct choice from the following answers
A) 1:2 B) 1:3 C) 2:3 D) 3:2 E) 4:7

Solution: men increase by 14% ==> 1.14M = males in 2001   women decrease by 6% ==> 0.94F = women in 2001   total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001   Obviously   (males in 2001) + (females in 2001) = total number of employees in 2001   1.14M + 0.94F = 1.012*(M + F)   1.14M + 0.94F = 1.012M + 1.012F   1.14M - 1.012M = 1.012F - 0.94F   0.128M = 0.072F   M/F = (0.072)/(0.128) = 72/128 = 4/7   Answer =(4:7)
Answer: E
A candidate got 35% of the votes and lost to the rival by 1350 votes. How many votes were cast?
Choose the correct choice from the following.
A) 4000 B) 4500 C) 5000 D) 5500 E) 6000

Solution: 35%-----------L   65%-----------W   ------------------   30% = 1350   10% = 450   100% of the votes = 4500   Answer: 4500
Answer: B
A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Choose the correct choice from the following:	A) 1200	B) 1300	C) 1500	D) 1400	E) 1700

Solution: Assume that the total profit is x   Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3:2   Therefore, A's profit =(95x/100)×(3/5)   Given that A's share is Rs. 855. Therefore,   (95x/100)×(3/5)=855   ⇒95x/100=855×5/3=285×5=1425   ⇒x=1425×100/95   =285×100/19=1500   Answer is C.   Hence the total profit = 1500
Answer: C
How many positive integers less than 100 have a remainder of 2 when divided by 13?	Choose the correct choice:	A) 5	B) 7	C) 8	D) 9	E) 6

Solution: take the multiples of 13 and add 2   0X13+2=2 ....13X7+2=93   there are 14 numbers   answer 8
Answer: C
When the positive integer a is divided by 11, the quotient is b and the remainder 3. When a is divided by 19, the remainder is also 3. What is the remainder when b is divided by 19?
Choose the correct option
A) 4  B) 3  C) 2  D) 1  E) 0

Solution: Any Number which when divided by divisor d1,d2, etc. leaving same remainderrtakes the form ofK+r   where k = LCM (d1,d2)   In this case the divisors are 1119 and remainder is 3.   so LCM (11,19) = 209   So N= 209+3= 
209+3 = 212
212   Also a=d1q+3 ; which means d1q=209d1=11 therefore q=19   And ( b divided by 19)19/19 leaves remainder 0.   Answer is 0
Answer: E
There are 6periods in each working day of a school. In how many ways can 1 arrange 5subjects such that each subject is allowed at least 1period?
Choose the correct choice from the following answers:
A) 1200
B) 1800
C) 2000
D) 2500
E) 2600

Solution: 5 subjects can be arranged in 6 periods in 6P5 ways.   Remaining 1 period can be arranged in 5P1 ways.   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements = (6P5 x 5P1)/2! = 1800   Alternatively this can be derived using the following approach.   5 subjects can be selected in 5C5 ways.   Remaining 1 subject can be selected in 5C1 ways.   These 6 subjects can be arranged themselves in 6! ways.   Since two subjects are same, we need to divide by 2!   Total number of arrangements = (5C5 × 5C1 × 6!)/2! = 1800   1800
Answer: B
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in: Choose the correct choice:
A) 14 hrs  B) 15 hrs  C) 10 hrs  D) 20 hrs  E) 25 hrs

Solution: work done in 1 hr = 1/2-3/7 = 1/14   ==>14 hrs   14 hrsNSWER 14 hrs
Answer: A
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Choose the correct choice from the following answers:
A) 50
B) 54
C) 52
D) 56
E) 58

Solution: Explanation:   speed= Distance/ Time   S = 240/16 * 18/5= 
240/16 * 18/5 = 54
54 kmph   Answer:54
Answer: B
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 80%, what was the average score for the entire class?
Choose the correct answer:	A) 64%	B) 66%	C) 68%	D) 70%	E) 72%

Solution: 70% of the class scored 60% and 30% of the class scored 80%.   The difference between 60% and 80% is 20%.   The average will be 60% + 0.3(20%) = 66%.   The answer is 66%.
Answer: B
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job? Choose the correct choice from the following answers.
A) 40/9 days B) 9 days C) 40 days D) 94 days E) 7 days

Solution: A’s 1 hour's work = 1/8   B's 1 hour's work = 1/10   (A + B)'s 1 hour's work = (1/8) +(1/10)=9/40   Both A and B will finish the work in 40/9 days.   40/9 daysns: 40/9 days
Answer: A
A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?	Select the correct option: A) 316/439 B) 316/438 C) 316/435 D) 316/299 E) 316/199

Solution: Let A be the event of getting two oranges and   B be the event of getting two non-defective fruits.   and be the event of getting two non-defective oranges   Answer: 316/435) 316/435
Answer: C
Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?	Select
A) 2  B) 3  C) 5  D) 7  E) 8

Solution: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted   3
Answer: B
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 50 more than the number who did not, and if receipts for registration and lunch totaled $82,900, how many people paid just for registration at the meeting?	Choose the correct choice from the following options.
A) 700
B) 650
C) 1,300
D) 1,500
E) 1,800

Solution: Hope this might be useful to you.   Let the number of people who have opted only to register = x   Now since the registration cost is 50$ per person, the total amount sums to = 50x $   As per the information given in the question, the number of registrants who paid for lunch was 50 more than the number who did not. That means, total number of people who registered and paid for lunch = 50 + x.   For the people who registered for lunch the cost is 50 $ (for the event registration) + 22 $ (for lunch) = 72 $.   Total amount in this case sums to = 72(50 + x) = 3600 + 72x   Now, total amount received was 82900.   Thus, from the above data,   50x + 3600 + 72x = 82900   122x = 82900 - 3600   122x = 79300   x = 650   Hence the correct Ans is 650
Answer: B
A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left.	Choices:
A) 10 kmph
B) 20 kmph
C) 30 kmph
D) 40 kmph
E) 50 kmph

Solution: 10 kmph   10 kmph   Time left = 10 - 3/5*10= 
10 - 3/5*10 = 4
4 hr 10 km/h   speed=40 km /4 hr   =10 kmph
Answer: A
If 30 oxen can plough 1/7th of a field in 2 days, how many days 18 oxen will take to do the remaining work?  Choices.
A) 30 days
B) 20 days
C) 15 days
D) 18 days
E) 21 days

Solution: Solution: We will use work equivalence method,   30/18 = (1/7)/(6/7)*x/2;   5/3 = (1/6)*x/2;   Or, x = 60/3= 
60/3 = 20
20 days.   Answer: Option 20 days
Answer: B
A shopkeeper sells 500 metres of cloth for Rs. 15000 at a loss of Rs.10 per metre. Find his cost price for one metre of cloth? Choose the correct choice from the following answers.
A) s.40	B) s.12	C) s.96	D) s.50	E) s.13

Solution: SP per metre = 15000/500   = Rs. 30 Loss per metre   = Rs. 10 CP per metre = 30 + 10   = Rs.40   s.40nswer: s.40
Answer: A
15 percent of new students select a science major, 10 percent select an arts major, and 35 percent select an engineering major, what fraction of students remain undecided?	Choose the correct choice from the following answers:
A) 4/5 B) 3/5 C) 3/10 D) 2/5 E) 1/10

Solution: 100%-(15%+10%+35%)=60% remains for other allocations --> 40% = 40/100   --  40= 
  --  40 = 40
40/100= 2/5.   Answer: 2/5.
Answer: D
The present ages of three persons in proportions 5 : 6 : 4. Five years ago, the sum of their ages was 60. Find their present ages (in years).
Choose the correct choice from the following choices:
A) 8, 20, 28
B) 16, 28, 36
C) 25,30,20
D) 18, 24, 32
E) None of these

Solution: Explanation:   Let their present ages be 5x, 6x and 4x years respectively.   Then, (5x - 5) + (6x - 5) + (4x - 5) = 60   15x-15 = 60   x = 5   Their present ages are 5x = 25 years, 6x = 30 years and 4x = 20 years respectively.   Answer: 25,30,20
Answer: C
The number of new words that can be formed by rearranging the letters of the word 'LIVE' is?	Choose one:	A) 25	B) 27	C) 19	D) 23	E) 24

Solution: Number of words which can be formed   = 4! - 1 = 24- 1= 
24- 1 = 23
23.   Answer:23
Answer: D
Number of ways in which the letters of word AMBI can be arranged with vowels in alphabetical order, is Select the correct option
A) 360 B) 240 C) 12 D) 480 E) None of these

Solution: Solution   Order of vowels of fixed   âˆ´ required number of ways are 4!/2!.   Answer 12
Answer: C
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 420 kms in 4 hours, then the speed of the first train is:  Select.
A) 89.25 km/hr.	B) 37.25 km/hr.	C) 90.25 km/hr.	D) 94.25 km/hr.	E) 91.875 km/hr.

Solution: Let the speed of two bullet trains be 7x and 8x km/hr.   Then, 8x = (420/4)= 
(420/4) = 105
105   x= (105/8)= 
(105/8) = 105/8 = around 13.125
13.125   Hence, speed of first bullet train= (7 x 13.125) km/hr = 91.875 km/hr.   91.875 km/hr.
Answer: E
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:  Choose the correct option:  A) 3:4  B) 4:5  C) 6:3  D) 4:4  E) 3:7

Solution: A   3:4   Let the speed of the train be x km/hr and that of the car be y km/hr.   Then, 120/x + 480/y = 8 --> 1/x + 4/y = 1/15 ------ (i)   Also, 200/x + 400/y = 25/3 --> 1/x + 2/y = 1/24 ----(ii)   Solving (i) and (ii), we get: x = 60 and y = 80.   --> Ratio of speeds = 60 : 80 = 3 : 4.
Answer: A
Rap is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents T, approximately how much greater is the probability that all three answers are “C” after Rap figures out that statement 1 of the data interpretation problem is also insufficient on its own?
Choose the correct choice
A) T=2.3%
B) T=2.8%
C) T=3.3%
D) T=5.6%
E) T=8.3%

Solution: Step 1: Figure out what we need to know.We have two probabilities T that we need to figure out: the one before Raj figures out that statement 1 of the data interpretation problem is also insufficient, and the one after. The answer is the difference between them, in the form of a percent.   Step 2: The first probability.   If statement 1 of the geometry problem is insufficient, then the only valid answer choices are B, C, and E; the probability that it is C is 1/3.   If both statements of the algebra problem are insufficient on their own, then the only remaining valid answers are C and E; the probability that it is C is 1/2   If statement 2 of the data interpretation problem is insufficient, then the remaining answers are A, C, and E, and the probability that C is correct is 1/3.   The probability of all three occurring is the product of the probability fractions: (1/3)*(1/2)*(1/3) = 1/18.   Step 3: The second probability.   Only the third problem has changed; if Raj now knows that statement 1 is also insufficient, the valid answer choices are only C and E, leaving a 1/2 probability that the answer is C.   The probability of all three occurring is still the product of those fractions, but this time they are (1/3)*(1/2)*(1/2) = 1/12.   Step 4: The answer.Note that here, as will sometimes happen on the GMAT, values that you compute “along the way” appear as wrong answer choices. This problem calls for the difference between our two numbers, (1/12)-(1/18) = 1/36, which is a 2.77777% chance, rounded to 2.8% —the correct answer is Choice T=2.8%.
Answer: B
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 options:
A) 22 1/9 %  B) 22 2/2 %  C) 23 1/2 %  D) 22 1/2 %  E) 62 1/2 %

Solution: 9 = (1*40*R)/100   R = 22 1/2 %   Answer:22 1/2 %
Answer: D