MU-NLPC/Calc-aqua_rat huggingface dataset:
A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?  Select
A) 270	B) 360	C) 480	D) 600	E) 840

Solution: as given 3 out of every 4 bruised apple is not fit to sell   or, 75% of the bruised apples are not fit to sell.   as per the question 12 are not fit to sell   or,   0.75x=12   x=1200/75= 
1200/75 = 16
16   thus total number of bruised apples=16   total number of apples =30*16= 
30*16 = 480
480   ANSWER:480
Answer: C
A businessman wants to label folders with numbers using digit stickers only. If the businessman uses 1,335 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).	Options:
A) 392	B) 395	C) 398	D) 481	E) 484

Solution: For the first 9 folders we need 9 stickers.   For the next 90 we need 2 stickers each or 180 stickers.   For the next 900 folders we need 3 stickers each.   The first 99 folders correspond to 189 stickers.   Subtract 189 from the total number of stickers (1,335).   This leaves 1,146 stickers for folders that use 3 stickers each. So, divide 1,146 by 3 to get 382 folders.   Add 99 folders to 382 folders to get the total number of folders, 481.   Answer: 481
Answer: D
The length of a rectangle i s two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choose the correct choice from the following options:  A) 140 sq.units  B) 149  C) 148  D) 17  E) 143

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140 sq.unitsrea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140 sq.unitsnswer: Option 140 sq.units
Answer: A
David paid $5,000 for 100 shares of stock X and $3,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/6 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:  Choose the correct option.
A) A loss 3 times as much B) A loss 2 times as much C) A Gain of 1.67 times as much. D) A loss 1.5 times as much E) A Gain of 2 times as much.

Solution: A = 5000; B = 3000; Profit = (3/6)*3000= 
(3/6)*3000 = 1_500
1500   After prices are reversed:   A= 3000; B =5000; Profit = (3/6)*5000= 
(3/6)*5000 = 2_500
2500   2500 --> Gain of 1.67 times 1500   Answer: A Gain of 1.67 times as much.
Answer: C
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 265 barrels of oil?
Choose the correct choice from the following:
A) 2  B) 3  C) 4  D) 5  E) 180

Solution: Well A produces 1/2 a barrel per minute.   Wells B and C produce 1/3 + 1/4 = 7/12 (a little more than half) a barrel per minute.   So all three wells combined produce a little more than 1 barrel per minute.   So for 265 barrels they will take a bit less than 265 mins which will be more than 4 hrs but less than 5 hrs.   Answer (5)
Answer: D
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
Options:  A) 16  B) 77  C) 15  D) 18  E) 161

Solution: Explanation:   According to the question let n be the number of articles.   => Cost price of n articles = n   => Selling price of n articles = 20   => Profit % = 25%   => Profit % = (SP - CP)/CP X 100   Putting the values in the formula   (20-n)/n x 100 = 25   => 5n/4 = 20   => n = 16   16NSWER: 16
Answer: A
In a certain town, there are five times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is  Pick one.
A) 1 to 4  B) 1 to 3  C) 1 to 2  D) 3 to 4  E) 5 to 6

Solution: Town state: 5 times the whole town or country   then ratio will be 5(times)/6 total(times)   So the answer is 5/6.   5 to 6
Answer: E
A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 3 and 5 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save? Pick one:
A) Per month, with savings of $(2a + 2b) B) Per month, with savings of $(2a - 2b) C) The two options would cost an equal amount. D) Per project, with savings of $(2a + 2b) E) Per project, with savings of $(2a - 2b)

Solution: Per Project, company will pay as follows:   For 3 hours work = a+2b   For 5 hours work = a+4b   Total = 2a+6b   Per Month, company will pay for 8 hours work = a+5b   Total per contract - total per month   3a+5b - (a+7b)   2a-2b   Since a>b Amount 3a+5b(per contract amount) > a+7b (per project amount) by 2a-2b.   Hence per month payment will be cheaper by 2a-2b .   OA Per month, with savings of $(2a - 2b)
Answer: B
3x<2y<0 which of the following is the greatest?	Choose the correct choice
A) 2x+3y
B) -(3x+y)
C) 2x-y
D) x+y
E) 0

Solution: Plugging in -1 for both x and y we get   A. 2x+3y =-5   B. -(3x+y) =4   C. 2x-y =1   D. x+y =-2   E. 0 =0   Answer: -(3x+y)
Answer: B
In the parking lot there are 44 vehicles, 24 of them are buses, and the rest are cars. The color of 24 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red?	Choose the correct option:
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: The number of cars is 44-24= 
44-24 = 20
20.   The number of red cars is   24-18= 
  24-18 = 6
6.   The number of cars which are not red is  20-6= 
 20-6 = 14
14.   The answer is 14.
Answer: D
If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Options.
A) 12.0  B) 13.5  C) 15.0  D) 23.5  E) 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 23-7.5= 
23-7.5 = 15.5
15.5or more than 23+7.5=30.5.   Answer: 15.0.
Answer: C
Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?	Choose the correct choice from the following options
A) 14
B) 15
C) 16
D) 17
E) 18

Solution: 134-132= 
134-132 = 2
2   46-44= 
46-44 = 2
2   x-12=2   x=14   14NSWER:14
Answer: A
How many no.'s with 3 different digits, 2, 3, 5, 6, 7 and 9, which are divisible by 5?	Choose the correct option
A) 18	B) 20	C) 25	D) 28	E) 31

Solution: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.   The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.   Required number of numbers = (1 x 5 x 4) = 20   20
Answer: B
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?	Choose the correct option
A) 153mph
B) 253mph
C) 353mph
D) 453mph
E) 553mph

Solution: The speed of the plane in still air = x miles/hour   The speed of the wind is 23 mph   Speed with the wind = (x + 23) mph   Speed against the wind = (x – 23) mph   Time = Distance/ Speed   According to the problem,   420/(x + 23) = 350/(x – 23)   420(x – 23) = 350(x + 23)   420x – 9660 = 350x + 805   420x – 350x = 8050 + 9660   70x = 17710   x = 17710/70= 
17710/70 = 253
253   Therefore, the speed of the plane in still air= 253 mph.   correct answer 253mph)253mph
Answer: B
The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A	Choose one:	A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Explanation:   Given that A+B = 13 + B + 13= 
+ 13 = 13
> A ? 13= 13 + B ? B = 13   => 13 is younger than A by 13 years   Answer: Option 13
Answer: C
If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
7 = 42
Then 42 = ?
Hint: Its a logic Riddle not a mathematical riddle	Choose the correct choice.
A) 7
B) 2
C) 3
D) 4
E) 5

Solution: 7   1   7s stated   7=42 => 42=7   7nswer is 7
Answer: A
what is the angle between the hands of a clock when time is 8:40? Choose the correct answer.
A) 65deg	B) 75deg	C) 45deg	D) 15deg	E) 100deg

Solution: Angle between two hands =   40h - 11/2 m = 40*8 - 40*11/2 = 320 - 220= 
320 - 220 = 100
100deg   ANSW100degR:100deg
Answer: E
32,0.2,160,15,0.5,30,28,0.7,?
Answers:
A) 30  B) 40  C) 50  D) 60  E) 70

Solution: (32,0.2,160),(15,0.5,30),(28,0.7,?)   32 / 0.2= 
32 / 0.2 = 160
160,   15 / 0.5= 
15 / 0.5 = 30
30   28 / 0.7= 
28 / 0.7 = 40
40   ANSWER:40
Answer: B
If 3^k is a divisor of the product of all even integers between 2 and 30 (inclusive), what is the maximum value of k?  Choose the correct choice from the following answers.
A) 4	B) 6	C) 10	D) 13	E) 14

Solution: since the Q tells us 3k3k is a divisor of the product of all even integers between 2 and 30 (inclusive)   the Q basically asks us power of 3 in the product..   lets see the even multiples of 3 from 2 to 30..   6*12*18*24*30..   3^5(2*4*6*8*10)..   or 3^6*2*4*2*8*10..   ans 6   ANSWER:6
Answer: B
When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?	Choose the most appropriate option:	A) 1	B) 2	C) 5	D) 19	E) 20

Solution: When positive integer n is divided by 3, the remainder is 1 i.e., n=3x+1   values of n can be one of {1, 4, 7, 10, 13, 16, 19, 22..............49, 52, 59..................}   Similarly,   When n is divided by 8, the remainder is 5..i.e., n=7y+5   values of n can be one of {5, 13, 21, 29, 37, 45, 53, 61........}   combining both the sets we get   n={13, 37, ...........}   What is the smallest positive integer p, such that (n + p) is a multiple of 15 or 15x   in case of n=13 p=2   so for min value of p, we take min value of n.   2 is the answer.
Answer: B
In a certain country, 60 percent of the population likes basketball, and 33 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf? Choose the correct choice from the following answers.
A) 20%
B) 33%
C) 40%
D) 55%
E) 67%

Solution: Correct Answer: (D).   Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 33 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 33/60 = 55%, or choice 55%.
Answer: D
At Pat's Pet Shop, 25 cups of bird seed are used every 5 days to feed 20 parakeets. How many cups of bird seed would be required to feed 15 parakeets for 7 days?	Select the correct option:
A) 35.25
B) 15
C) 64
D) 104
E) 26 1/4

Solution: Let's go step-by-step.   25 cups are used over a 5 day period, which means 5 cups a day. This feeds 20 parakeets, which means each parakeet needs 1/4 of a cup every day.   For 15 parakeets, we need 15*1/4 cups = 3 3/4 cups a day. Over 7 days, we need 26 1/4 cups. Choice 26 1/4.
Answer: E
What is the greatest possible common divisor of two different positive integers which are less than 144?
Can someone explain why the answer is 71 if we assume that the integers are 143 and 142? Pick:
A) 143	B) 142	C) 72	D) 71	E) 12

Solution: First of all, what is the greatest common divisor of 143 and 142? It is 1. You are looking for the common divisor. 142 and 143 will have no common divisor except 1.   Think:   2 and 3 have GCD (greatest common divisor) of 1   2 and 4 have GCD of 2.   3 and 4 have GCD (greatest common divisor) of 1   So if you were to select 2 numbers less than 5 with the greatest GCD, you need to select 2 and 4, not 3 and 4.   Now think: 143 = 11 * 13   The greatest possible divisor it will have with another number less than 144 will be either 11 or 13. Let's move on.   142 = 2*71   The greatest possible divisor it can have with another number less than 144 can be 71 (say, if the other selected integer is 71)   Do you think another number less than 144 could have a GCD of greater than 71? No because when you split a number into two factors, one of them will be at least 2. If it is greater than 2, the other factor will obviously be less than 71.
Answer: D
A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?  Options:
A) 3/7
B) 1/4
C) 1/5
D) 1/7
E) 2/5

Solution: |X||X| can take 7 values.   To get |X|<2|X|<2 ( i.e., −2<x<+2−2<x   ⇒ P(|X|<2)= Favourable CasesTotal CasesP(|X|<2)= Favourable CasesTotal Cases   = 3/7   3/7
Answer: A
The present worth of a certain sum due sometimes hence is Rs.1600 and the true discount is Rs.160.The banker's gain is  Pick one:	A) Rs.16	B) Rs.24	C) Rs.20	D) Rs.12	E) None

Solution: Solution   B.G   Given,T.D = 160, P.w= 1600	= (T.D)² / P.W   = Rs(160 x 160 / 1600)   = Rs.16.   Rs.16nswer Rs.16
Answer: A
The length of a rectangular field is 7/5 its width. If the perimeter of the field is 288 meters, what is the width of the field?  Choose the correct choice from the following options
A) 50
B) 60
C) 70
D) 80
E) 90

Solution: Let L be the length and W be the width. L = (7/5)W   Perimeter: 2L + 2W = 288, 2(7/5)W + 2W = 288   Solve the above equation to find: W = 60 m and L = 84 m.   correct answer 60)60
Answer: B
A clock shows the time as 11 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.? Answers:
A) 45 minutes
B) 55 minutes
C) 35 minutes
D) 25 minutes
E) 40 minutes

Solution: there are 7 hours in between 11 a.m. to 6 p.m.   7*5= 
7*5 = 35
35 minutes.   ANSWER:35 minutes
Answer: C
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.08 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Choose the correct choice from the following choices
A) 1-0.06^10
B) 1-0.92^10
C) (1-0.94)^10
D) 0.06
E) 1-10*0.06

Solution: ans B.   Prob that light will not turned off = 0.92^10. Hence prob (turn off) = 1 - prob (not turn off).
Answer: B
|x+3| – |4-x| = |8+x| How many X solutions will this equation have?	Choose the correct option
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: X=|x| = x when x >= 0 (x is either positive or 0)   |x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 because if x = 0,   |0| = 0 = -0 (all are the same)   So the '=' sign can be put with x > 0 or with x < 0. We usually put it with 'x > 0' for consistency.0
Answer: A
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 10 days starting with sunday is
Choose the correct option:
A) 280
B) 285
C) 290
D) 855
E) 275

Solution: Explanation:   As the month begin with sunday, so there will be five sundays in the month. So result will be:   =(510×5+240×25/10)=(8550/10)= 
(8550/10) = 855
855   Answer: Option 855
Answer: D
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Answers:
A) 0 B) 1 C) 10 D) 19 E) 2

Solution: Average of 20 numbers = 0.   Sum of 20 numbers (0 x 20) = 0.   It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).   ANSWER:19
Answer: D
Set R has a mean of 14 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? Choose the correct option
A) {13,15}  B) {18,19}  C) {11,19}  D) {15,19}  E) {14,25}

Solution: The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 14,the values (13,15) are closer than others.   Hence {13,15}nswer : {13,15}
Answer: A
90, 180, 12, 50, 100, 200, ?, 2, 50, 4, 25, 2, 6, 30, 3
Answers:
A) 130	B) 150	C) 180	D) 100	E) 220

Solution: 30*3= 
30*3 = 90
90   6*30= 
6*30 = 180
180   6*2= 
6*2 = 12
12   25*2= 
25*2 = 50
50   4*25= 
4*25 = 100
100   50*4= 
50*4 = 200
200   2*50= 
2*50 = 100
100 ans is 100   ANSWER:100
Answer: D
Tom planted vegetables in a rectangular garden that was 23 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?  Choose the correct option:
A) 155 sq. ft.	B) 156 sq. ft.	C) 161 sq. ft.	D) 168 sq. ft.	E) 179 sq. ft.

Solution: area of garden is 23 x 15 = 345 sq. ft.   1/3 x 345 = 115 sq. ft. for corn   1/5 x 345 = 69 sq. ft. for peas   115 + 69= 
115 + 69 = 184
184 sq. ft. used     345 - 184= 
  345 - 184 = 161
161 sq. ft. left over   correct answer 161 sq. ft.
Answer: C
What will be the product of (50-1)*(50-2)*(50-3)*..............*(50-79)*(50-80)? Choose the most appropriate option:  A) less than -100,000  B) -2500  C) 0  D) 2500  E) more than 100,000

Solution: One of the terms is (50-50) so the product is 0.   The answer is 0.
Answer: C
The factorial expression 9!/2! is not divisible by which of the following integers? Answers:
A) 3	B) 5	C) 6	D) 7	E) None of these

Solution: 9!/2! => 9 x 8 x7 x 6 x 5 x 4x3   (A) 3 Can divide 12 or 9   (B) 5 Can divide 5   (C) 6 Can divide 12   (D) 7 can divide 7,21,28   Hence answer will be (None of these)
Answer: E
When a natural number N is successively divided by 1,2,3,4 the remainders are 5,6,7,8. What will be the sum of the remainders if the order of the division is reversed?	Select the correct option:
A) 11
B) 12
C) 10
D) 2
E) 7

Solution: 1 2 3 4   5 6 7 8   leave the top right- most number 8   start with bottom right-most number 5   8*3+7= 
8*3+7 = 31
31   31*2+6= 
31*2+6 = 68
68   68*1+5= 
68*1+5 = 73
73   this is the number required   Now, do the successive division in the reverse order   The sum of the remainders is 10   Hence, the correct option is 10
Answer: C
A man goes from A to B at a speed of 14 kmph and comes back to A at a speed of 10 kmph. Find his average speed for the entire journey?  Pick one: A) 11.6 kmph B) 12.9 kmph C) 12.8 kmph D) 11.9 kmph E) 12.6 kmph

Solution: Distance from A and B be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/14) + (d/10]   = (2d)/[12d/70) => 11.6 kmph.   11.6 kmphnswer:11.6 kmph
Answer: A
In a certain city, 40% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?	Options: A) a) 50% B) b) 53% C) c) 54% D) d) 55% E) e) 57%

Solution: Let total voters = 100   so d) 55%= 60, vote for the mayor 60*75%=45 (60*3/4)   R= 40, vote for the mayor 40*20%= (40*1/5)   45+8= 
45+8 = 53
53   53/100*100=55%   d) 55%
Answer: D
If the product of 6 integers is negative, at most how many of the integers can be negative? Select
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: product of even number of -ve numbers is positive so it cant be 6 .   ANSWER:5
Answer: D
If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?
Choose the correct choice from the following answers:
A) 1
B) 2
C) 3
D) 5
E) 6

Solution: As per question => N=7P+1 for some integer p   hence 3N => 21Q + 3 => remainder => 6 for some integer Q   Alternatively => N=2 > 3N=> 3 => 3 divided by 7 will leave a remainder 3   hence 3
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Pick
A) 298m
B) 180m
C) 287m
D) 297m
E) 261m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer: 180m
Answer: B
In a particular state, 62% of the counties received some rain on Monday, and 54% of the counties received some rain on Tuesday. No rain fell either day in 28% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?	Choose the correct answer:  A) 25%  B) 44%  C) 56%  D) 62%  E) 70%

Solution: 62 + 54 + 28= 
62 + 54 + 28 = 144
144%   The number is 44% above 100% because 44% of the counties were counted twice.   The answer is 44%.
Answer: B
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?  Choices.
A) 25 B) 15 C) 65 D) 82 E) 95

Solution: Explanation:   A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   25NSWER 25
Answer: A
The “s-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^s, where s is the s-number of the result of his die roll, and plots 3^s on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
Choose the correct option
A) 3/8
B) 13/36
C) 17/36
D) 19/36
E) 23/36

Solution: If you calculate 3^s for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.   About distance: If the first result is 9 and the second is also 9, the distance is   9-9= 
  9-9 = 0
0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is   81-9= 
  81-9 = 72
72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance  81-9= 
 81-9 = 72
72>9.   On the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:   probability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6)= 1/9   probability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9   probability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36   All together: 1/9 + 1/9 + 5/36 = 13/36=13/36
Answer: B
Today my car meter reads as 63736 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom. Choose the correct choice from the following:  A) 100 kms  B) 115 kms  C) 110 kms  D) 210 kms  E) 120 kms

Solution: 100 kms   100 kms   63736+100 = 63636, a palindrome
Answer: A