Lots-of-LoRAs/task750_aqua_multiple_choice_answering huggingface dataset:
Input: Question: At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hr less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for this 24 miles round trip, the downstream 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour?

 Option A: 7/3

 Option B: 4/3

 Option C: 5/3

 Option D: 8/3

 Option E: None of these
Output: Option D
Input: Question: A 300-metre-long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

 Option A: 320 metres

 Option B: 650 metres

 Option C: 350 metres

 Option D: Data inadequate

 Option E: None of these
Output: Option C
Input: Question: In 1982 and 1983, Company B’s operating expenses were $12 million and $15 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?

 Option A: 3%

 Option B: 5 5/9%

 Option C: 25%

 Option D: 33 1/3%

 Option E: 60%
Output: Option B
Input: Question: If the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 280, 511, 1023 and x?

 Option A: 395

 Option B: 375.8

 Option C: 355

 Option D: 415

 Option E: 365
Output: Option B
Input: Question: Sita has $100 in her piggy bank. How much will she have in her bank 20 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?

 Option A: 300

 Option B: 310

 Option C: 320

 Option D: 330

 Option E: 340
Output: Option B
Input: Question: A patient was given five pills which he is required to take one after every twenty minutes.
How long can the pills run for him?

 Option A: 1 hour

 Option B: 1 hour 20 minutes

 Option C: 1 hour 30 minutes

 Option D: 1 hour 35 minutes

 Option E: 1 hour 40 minutes
Output: Option B
Input: Question: Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5

 Option A: 18.8

 Option B: 18.5

 Option C: 18.0

 Option D: 18.1

 Option E: 18.7
Output: Option B
Input: Question: The length of a rectangular floor is more thanits breadth by 200%. If Rs.324 is requiredto paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?

 Option A: 12

 Option B: 18

 Option C: 19

 Option D: 20

 Option E: 21
Output: Option B
Input: Question: The ratio of two numbers is 3:4 and their sum is 14. The greater of the two numbers is?

 Option A: 12

 Option B: 14

 Option C: 16

 Option D: 8

 Option E: 19
Output: Option D
Input: Question: Let A be the event that a randomly selected two digit number is divisible by 2 and let B be the event that a randomly selected two digit number is divisible by 10. What is P(A and B)?

 Option A: 1/20

 Option B: 1/15

 Option C: 1/12

 Option D: 1/8

 Option E: 1/2
Output: Option A
Input: Question: The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?

 Option A: 120

 Option B: 298

 Option C: 272

 Option D: 827

 Option E: 278
Output: Option A
Input: Question: A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

 Option A: 20%

 Option B: 27%

 Option C: 31%

 Option D: 43%

 Option E: None
Output: Option A
Input: Question: The relationship between quantities m and n is expressed by the equation 15m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?

 Option A: 30/11

 Option B: 42/11

 Option C: 60/11

 Option D: 150/11

 Option E: 10
Output: Option E
Input: Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1100 m long?

 Option A: 200 Sec

 Option B: 230 Sec

 Option C: 167 Sec

 Option D: 197 Sec

 Option E: 179 Sec
Output: Option B
Input: Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?

 Option A: 1/19

 Option B: 1/11

 Option C: 1/12

 Option D: 1/17

 Option E: 1/14
Output: Option C
Input: Question: A and B invests Rs.3000 and Rs.6500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?

 Option A: 8:8

 Option B: 9:8

 Option C: 9:6

 Option D: 9:5

 Option E: 9:13
Output: Option E
Input: Question: How many ways can six girls be selected from a group of ten girls?

 Option A: ⁶C₄

 Option B: ¹⁰C₄

 Option C: 4C₄

 Option D: ¹⁰P₄

 Option E: ¹⁰P₅
Output: Option B
Input: Question: If S is the product of all positive integers less than 31, than what is the greatest integer k for which S/18^k is an integer?

 Option A: 3

 Option B: 6

 Option C: 7

 Option D: 14

 Option E: 26
Output: Option C
Input: Question: A man buys an article for $100. and sells it for $120. Find the gain percent?

 Option A: 10%

 Option B: 15%

 Option C: 25%

 Option D: 20%

 Option E: 30%
Output: Option D
Input: Question: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?

 Option A: 50

 Option B: 60

 Option C: 70

 Option D: 80

 Option E: 90
Output: Option A
Input: Question: 10 is subtracted from 50% of a number, the result is 25. Find the number?

 Option A: 75

 Option B: 70

 Option C: 35

 Option D: 170

 Option E: 50
Output: Option B
Input: Question: 99,998^2 - 2^2 =

 Option A: 10^10 - 2

 Option B: (10^5 – 2

 Option C: 10^4(10^5 – 2

 Option D: 10^5(10^4 – 2

 Option E: 10^5(10^5 – 4
Output: Option E
Input: Question: A train passes a station platform in 37 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

 Option A: 248 m

 Option B: 240 m

 Option C: 277 m

 Option D: 255 m

 Option E: 176 m
Output: Option D
Input: Question: What is the probability of getting a number less than 4 when a die is rolled?

 Option A: 1/2

 Option B: 4/7

 Option C: 1/6

 Option D: 4/7

 Option E: 5/12
Output: Option A
Input: Question: The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 156.4, what is the average of the other half?

 Option A: 12.8

 Option B: 24.2

 Option C: 49.1

 Option D: 72.1

 Option E: 96.8
Output: Option C
Input: Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car

 Option A: 960 km

 Option B: 968 km

 Option C: 960 km

 Option D: 980 km

 Option E: 964 km
Output: Option C
Input: Question: if QUESTION =DOMESTIC what will b code for RESPONSE ????

 Option A: OMESUCEM

 Option B: OMESICSM

 Option C: OMESICEM

 Option D: OMESISCM

 Option E: OMESISCN
Output: Option C
Input: Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle T in terms of h?

 Option A: h/ √2

 Option B: h/2

 Option C: h/4

 Option D: (h

 Option E: (h
Output: Option E
Input: Question: The value of 1/(1-x) + 1/ (1+x) + 2/(1+x^2) + 4/(1+x^4)

 Option A: 8/(1-x^8

 Option B: 4x/(1+x^2

 Option C: 4/(1-x^6

 Option D: 4/(1+x^4

 Option E: 4x/(1-x^4
Output: Option A
Input: Question: The ages of two persons differ by 16 years. If 6 years ago , the elder one be 3 times as old as the younger one, find their present ages .

 Option A: 10 years and 18 years

 Option B: 18 years and 26 years

 Option C: 20 years and 28 years

 Option D: 14 years and 30 years

 Option E: 16 years and 25 years
Output: Option D
Input: Question: A sum of Rs. 12500 amounts to Rs. 16000 in 4 years at the rate of simple interest. What is the rate of interest?

 Option A: 7%

 Option B: 5%

 Option C: 6%

 Option D: 8%

 Option E: 14%
Output: Option A
Input: Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?

 Option A: 2 days

 Option B: 5 days

 Option C: 8 days

 Option D: 7 days

 Option E: 9 days
Output: Option C
Input: Question: Elizabeth can get a certain job done in 15 days, and Tony can finish only 75% of that job within the same time. Tony worked alone for several days and then Elizabeth joined him, so they finished the rest of the job in 6 days, working together.
For how many days have each of them worked and what percentage of the job have each of them completed?

 Option A: 5 days and 40%

 Option B: 6 days and 30%

 Option C: 6 days and 40%

 Option D: 7 days and 40%

 Option E: 7 days and 30%
Output: Option C
Input: Question: For what value of “k” will the equation (2kx2 + 5kx+2)=0 have equal roots?

 Option A: 2/7

 Option B: 9/4

 Option C: 16/25

 Option D: 7/1

 Option E: 7/2
Output: Option C
Input: Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?

 Option A: 157

 Option B: 162

 Option C: 882

 Option D: 155

 Option E: 101
Output: Option B
Input: Question: If 73! has 16 zeroes at the end, how many zeroes will 80! have at the end?

 Option A: 16

 Option B: 17

 Option C: 18

 Option D: 19

 Option E: 20
Output: Option D
Input: Question: To be considered grade AD, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AD eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AD eggs are used, the shells are all discarded, and no mass is lost in the cooking process?

 Option A: 800

 Option B: 840

 Option C: 864

 Option D: 900

 Option E: 1,080
Output: Option B
Input: Question: 8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c?

 Option A: 1/32

 Option B: 1/4

 Option C: 1

 Option D: 4

 Option E: 5
Output: Option B
Input: Question: Out of 5 consonants and 3 vowels, how many words of 4 consonants and 2 vowels can be formed?

 Option A: 21000

 Option B: 10500

 Option C: 25200

 Option D: 10800

 Option E: None of these
Output: Option D
Input: Question: What are the last two digits of 63*35*37*82?

 Option A:  10

 Option B:  30

 Option C:  40

 Option D:  70

 Option E:  80
Output: Option B
Input: Question: Two coins are tossed, find the probability that two Tails are obtained

 Option A: 1/3

 Option B: 1/4

 Option C: 1/5

 Option D: 1/7

 Option E: 2/3
Output: Option B
Input: Question: John has 10 pairs of matched socks. If he loses 3 individual socks, what is the greatest number of pairs of matched socks he can have left?

 Option A:  7

 Option B:  8

 Option C:  5

 Option D:  4

 Option E:  3
Output: Option B
Input: Question: The average of first 10 even numbers is?

 Option A: 19

 Option B: 18

 Option C: 16

 Option D: 11

 Option E: 17
Output: Option D
Input: Question: A jogger running at 9 km/hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

 Option A: 67 sec

 Option B: 89 sec

 Option C: 36 sec

 Option D: 87 sec

 Option E: 40 sec
Output: Option E
Input: Question: How many keystrokes are needed to type numbers from 1 to 1000?

 Option A: 2704

 Option B: 2890

 Option C: 2893

 Option D: 3001

 Option E: None of these
Output: Option C
Input: Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

 Option A: 69

 Option B: 78

 Option C: 96

 Option D: Cannot be determined

 Option E: None of these
Output: Option D
Input: Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of the interest. If she paid Rs. 432 as interest at the end of the period,what was the rate of interest ?

 Option A: 3.6

 Option B: 6

 Option C: 18

 Option D: Cannot be determined

 Option E: None
Output: Option B
Input: Question: A milkman sells his milk at CP but he mixes it withwater and thereby gains 25%. What is the % of water in the mixture?

 Option A: 10%

 Option B: 15%

 Option C: 20%

 Option D: 30%

 Option E: 40%
Output: Option C
Input: Question: 5 liters of a 20 percent solution of alcohol in water are mixed with 3 liters of a 12 percent alcohol in water solution. What is the percentage of alcohol in the new solution?

 Option A: 16.7%

 Option B: 17.0%

 Option C: 17.3%

 Option D: 17.6%

 Option E: 17.9%
Output: Option B
Input: Question: If 5 cars park in 5 parking place.there are 3 red colour car,1 blue and 1 green then how many ways we can arrange the cars differently

 Option A: 10

 Option B: 20

 Option C: 30

 Option D: 40

 Option E: 50
Output: Option B
Input: Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent W of her bushes have only yellow roses?

 Option A: 20

 Option B: 30

 Option C: 50

 Option D: 70

 Option E: 80
Output: Option B
Input: Question: A new savings account offers 6 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?

 Option A: $80.00

 Option B: $84.40

 Option C: $360.00

 Option D: $6,360.00

 Option E: $6,365.40
Output: Option E
Input: Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 51% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?

 Option A: 60%

 Option B: 50%

 Option C: 25%

 Option D: 16%

 Option E: 10%
Output: Option D
Input: Question: Farm Tax is levied on the 90% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :

 Option A: 15%

 Option B: 25%

 Option C: 0.125%

 Option D: 13.88%

 Option E: none
Output: Option D
Input: Question: In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

 Option A: 5%

 Option B: 10%

 Option C: 16%

 Option D: 22%

 Option E: None of these
Output: Option D
Input: Question: In a class of 45 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?

 Option A: 30

 Option B: 10

 Option C: 18

 Option D: 23

 Option E: 32
Output: Option D
Input: Question: A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly :

 Option A: 21.6 %

 Option B: 21.9 %

 Option C: 21.7 %

 Option D: 21.2 %

 Option E: 21.1 %
Output: Option A
Input: Question: Find the value of x in 8.5 – { 5 ½ – [7 ½ + 2.8]/x}*4.25/(0.2)^2 = 306

 Option A: 3.2

 Option B: 3.4

 Option C: 3.5

 Option D: 4.1

 Option E: 4.2
Output: Option C
Input: Question: The average (arithmetic mean) of four numbers is 4x + 2. If one of the numbers is x, what is the average of the other three numbers?

 Option A: x + 1

 Option B: 3x + 3

 Option C: 5x + 1

 Option D: 5x + 8/3

 Option E: 15x + 12
Output: Option D
Input: Question: If the average of seven numbers is 35. If one is included. The average become 40. The included number is:

 Option A: 70

 Option B: 75

 Option C: 76

 Option D: 78

 Option E: 79
Output: Option B
Input: Question: Brian is analyzing the performance of certain stocks. He finds that for the first fifteen days of a 30 day period, the daily closing price per share of Phoenix Pharma Inc. conformed to the function f(x)=0.4x+2f(x)=0.4x+2 , where x represents the day in the period. He found that for the last 15 days in the same period, the stock followed the function f(x)=(−1/7)x+9f(x)=(−1/7)x+9, where x represents the day in the period. Approximately what is the median closing price per share of Phoenix Pharma Inc. for the entire 30 day period?

 Option A: 4.7

 Option B: 5.55

 Option C: 6.71

 Option D: 8

 Option E: 11.1
Output: Option B
Input: Question: The radius of a semi circle is 6.3 cm then its perimeter is?

 Option A: 32.9

 Option B: 32.4

 Option C: 32.2

 Option D: 32.1

 Option E: 32.7
Output: Option B
Input: Question: The average of 9 observations was 4, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?

 Option A: 54

 Option B: 12

 Option C: 15

 Option D: 17

 Option E: 18
Output: Option A
Input: Question: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

 Option A: 36

 Option B: 27

 Option C: 41

 Option D: 19

 Option E: 25
Output: Option E
Input: Question: A line has a slope of 3/4 and intersects the point W (-12, -39). At which point does this line intersect the x-axis?

 Option A: (40,0

 Option B: (30,0

 Option C: (0,40

 Option D: (40,30

 Option E: (0,30
Output: Option A
Input: Question: Find the sum of first 20 natural numbers

 Option A: 470

 Option B: 210

 Option C: 465

 Option D: 463

 Option E: 485
Output: Option B
Input: Question: The last digit of 12^12+13^13–14^14×15^15=

 Option A: 0

 Option B: 1

 Option C: 5

 Option D: 8

 Option E: 9
Output: Option E
Input: Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 34710
. What percentage of profit did he make?

 Option A: 80%

 Option B: 49%

 Option C: 40%

 Option D: 70%

 Option E: 56%
Output: Option E
Input: Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?

 Option A: 5 5/9 %

 Option B: 5 5/6 %

 Option C: 5 8/9 %

 Option D: 1 5/9 %

 Option E: 5 3/9 %
Output: Option A
Input: Question: A car rental company charges for mileage as follows: 10 dollars per mile for the first n miles and 11 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?

 Option A: 7d-n

 Option B: 5d-n

 Option C: 3*11d-n

 Option D: 11d-n

 Option E: 4d-n
Output: Option D
Input: Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?

 Option A: 17 1/7 days

 Option B: 5 days

 Option C: 6 days

 Option D: 9 days

 Option E: 10 days
Output: Option A
Input: Question: There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?

 Option A: Tuesday

 Option B: Monday

 Option C: Wednesday

 Option D: Friday

 Option E: Sunday
Output: Option B
Input: Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 12 years?

 Option A: 3 : 2

 Option B: 1 : 3

 Option C: 1 : 6

 Option D: 3 : 1

 Option E: 2 : 1
Output: Option C
Input: Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?

 Option A: 5:4

 Option B: 5:6

 Option C: 5:0

 Option D: 5:4

 Option E: 5:1
Output: Option A
Input: Question: If a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides?

 Option A: 4

 Option B: 7

 Option C: 8

 Option D: 13

 Option E: 26
Output: Option D
Input: Question: Find the odd man out
2, 5, 14, 41, 122, 365, 1125

 Option A: 2

 Option B: 14

 Option C: 41

 Option D: 365

 Option E: 1125
Output: Option E
Input: Question: The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?

 Option A: 8:5

 Option B: 8:9

 Option C: 2:2

 Option D: 8:2

 Option E: 2:8
Output: Option A
Input: Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference V between the highest and the lowest incentive received by the 5 salesmen in the month?

 Option A: $4000

 Option B: $5000

 Option C: $9000

 Option D: $11,000

 Option E: $13,000
Output: Option D
Input: Question: The average expenditure of a labourer for 6 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i

 Option A: 70

 Option B: 72

 Option C: 75

 Option D: 78

 Option E: 80
Output: Option D
Input: Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 50%?
I will see what is the quickest way to solve it then I will provide the explanation

 Option A: 3

 Option B: 7

 Option C: 9

 Option D: 10

 Option E: 11
Output: Option A
Input: Question: A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?

 Option A: 37/256

 Option B: 56/256

 Option C: 65/256

 Option D: 70/256

 Option E: 81/256
Output: Option A
Input: Question: A man can row upstream at 8kmph and downstream at 13 kmph. The speed of the stream is?

 Option A: 3kmph

 Option B: 2.5kmph

 Option C: 3.5kmph

 Option D: 4.3kmph

 Option E: 5kmph
Output: Option B
Input: Question: Find the compound ratio of (2:3), (6:11) and (11:4) is

 Option A: 3:2

 Option B: 2:1

 Option C: 1:1

 Option D: 4:5

 Option E: 2:3
Output: Option C
Input: Question: The speed of a car is 90 km in the first hour and 30 km in the second hour. What is the average speed of the car?

 Option A: 50 kmph

 Option B: 60 kmph

 Option C: 75 kmph

 Option D: 85 kmph

 Option E: 90 kmph
Output: Option B
Input: Question: A certain bakery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?

 Option A:  1.50

 Option B:  1.75

 Option C:  2.00

 Option D:  2.50

 Option E:  3.00
Output: Option D
Input: Question: The 8 leaders of the G8 nations convene in Rome and stand in a row as they get ready to have some pictures of them taken by the press. What is the probability that the picture that the New York Times' editors will randomly select for publishing the next day is one in which Berlusconi is not standing next to Obama? (assuming that there are pictures of all possible standing arrangements).

 Option A: 1/8

 Option B: 1/4

 Option C: 1/2

 Option D: 3/4

 Option E: 7/8
Output: Option D
Input: Question: The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?

 Option A: 18

 Option B: 20

 Option C: 22

 Option D: 23

 Option E: 25
Output: Option C
Input: Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?

 Option A: 1

 Option B: 20

 Option C: 2

 Option D: 200

 Option E: 2.5
Output: Option A
Input: Question: Carrie likes to buy t-shirts at the local clothing store. They cost $9.15 each. One day, she bought 22 t-shirts. How much money did she spend?

 Option A: $150

 Option B: $248.75

 Option C: $200

 Option D: $201.3

 Option E: $190
Output: Option D
Input: Question: An workshop has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?

 Option A: 10

 Option B: 12

 Option C: 15

 Option D: 24

 Option E: 30
Output: Option A
Input: Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 and $2.20. How much money was left?

 Option A: $5.85

 Option B: $6.85

 Option C: $ 3.85

 Option D: $2.85

 Option E: $4.85
Output: Option C
Input: Question: There are 11 software engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?

 Option A: 10!×11!/5!

 Option B: 9!×11!/4!

 Option C: 11!×12!/5!

 Option D: 9!×5!/4!

 Option E: 5!×6!/7!
Output: Option C
Input: Question: What is 1! + 2! + ... + 10! ?

 Option A: 4,037,910

 Option B: 4,037,913

 Option C: 4,037,915

 Option D: 4,037,916

 Option E: 4,037,918
Output: Option B
Input: Question: A reduction of 21% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?

 Option A: s.2.66

 Option B: s.2.4

 Option C: s.2.5

 Option D: s.2.2

 Option E: s.2.1
Output: Option A
Input: Question: If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)?

 Option A: 0.36

 Option B: 0.4

 Option C: 0.42

 Option D: 0.43

 Option E: 0.64
Output: Option A
Input: Question: There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure q in inches of the width of the foil covered prism?

 Option A: 4

 Option B: 6

 Option C: 8

 Option D: 9

 Option E: 10
Output: Option E
Input: Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 75 terms?

 Option A: 25/26

 Option B: 40/41

 Option C: 75/76

 Option D: 150/151

 Option E: 151/75
Output: Option C
Input: Question: the average of four consecutive even numbers is 27. find the largest of thesenumbers?

 Option A: 24

 Option B: 26

 Option C: 28

 Option D: 30

 Option E: 32
Output: Option D
Input: Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?

 Option A: 1340

 Option B: 1450

 Option C: 1540

 Option D: 1650

 Option E: 1635
Output: Option E
Input: Question: Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?

 Option A: 2.5.

 Option B: 3.

 Option C: 3.5

 Option D: 4.

 Option E: 4.5.
Output: Option D
Input: Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,54,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:

 Option A: 0.22598

 Option B: 0.14544

 Option C: 0.25632

 Option D: 0.35466

 Option E: 0.63435
Output: Option A
Input: Question: If a and b are both odd prime numbers and a < b, then how many different positive integer factors does 2ab have?

 Option A: 3

 Option B: 4

 Option C: 6

 Option D: 8

 Option E: 12
Output: Option D
Input: Question: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?

 Option A: 4

 Option B: 5

 Option C: 6

 Option D: 7

 Option E: 8
Output: Option A
Input: Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum E of the 24 integers ?

 Option A:  26,996

 Option B:  44,406

 Option C:  60,444

 Option D:  66,660

 Option E:  99,990
Output: Option E
Input: Question: A father is now three times as old as his son. Four years back, he was four times as old as his son. The age of the son (in years) is

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option A
Input: Question: Evaluate: 60 - 9÷3×6 =

 Option A: 52

 Option B: 18

 Option C: 42

 Option D: 102

 Option E: 36
Output: Option C
Input: Question: How many numbers between 11 and 90 are divisible by 7?

 Option A: 11

 Option B: 13

 Option C: 15

 Option D: 12

 Option E: 10
Output: Option A
Input: Question: electric running buzzer rang after every 60 sec.and second buzzer rang after every 62 sec.both rung together at 10'o clock.after that at what time both rang together?

 Option A: morning 10:30

 Option B: morning 10:31

 Option C: morning 10:59

 Option D: morning 11:00

 Option E: none of these
Output: Option B
Input: Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 6400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

 Option A: 140 sq.units

 Option B: 320 sq.units

 Option C: 367sq.units

 Option D: 178sq.units

 Option E: 176sq.units
Output: Option B
Input: Question: How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).

 Option A: 51.45 inches

 Option B: 86.09 inches

 Option C: 67.34 inches

 Option D: 34.98 inches

 Option E: 78.74 inches
Output: Option E
Input: Question: It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 2:00 pm?

 Option A: 5:10 pm

 Option B: 5:30 pm

 Option C: 5:50 pm

 Option D: 6:10 pm

 Option E: 6:30 pm
Output: Option C
Input: Question: The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively

 Option A: 18 years

 Option B: 88 years

 Option C: 77 years

 Option D: 10 years

 Option E: 17 years
Output: Option D
Input: Question: A man gains 50% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

 Option A: 130%

 Option B: 300%

 Option C: 150%

 Option D: 160%

 Option E: 170%
Output: Option B
Input: Question: If the cost of A metres of wire is C rupees, then what is the cost of E metres of wire at the same rate?

 Option A: Rs. (EC/A

 Option B: Rs. (EC

 Option C: Rs. (C/A

 Option D: Rs. (E/A

 Option E: Rs. (AC/E
Output: Option A
Input: Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?

 Option A: 200 Sec

 Option B: 190 Sec

 Option C: 167 Sec

 Option D: 197 Sec

 Option E: 179 Sec
Output: Option A
Input: Question: 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?

 Option A: 23

 Option B: 18

 Option C: 20

 Option D: 19

 Option E: 21
Output: Option B
Input: Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 72, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

 Option A: K+36

 Option B: 2K+36

 Option C: (72+K

 Option D: (72-K

 Option E: 2(72-K
Output: Option C
Input: Question: Robert ate 12 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
Output: Option C
Input: Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of D feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?

 Option A: 100xy

 Option B: 100y - x

 Option C: 100x/y

 Option D: 100y/x

 Option E: 100x - y
Output: Option C
Input: Question: How many factors does 36^2 have?

 Option A: 2

 Option B: 8

 Option C: 24

 Option D: 25

 Option E: 26
Output: Option D
Input: Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?

 Option A: $18,400

 Option B: $19,500

 Option C: $20,200

 Option D: $20,700

 Option E: $21,100
Output: Option D
Input: Question: If a fair die is rolled five times, what is the probability that a 3 occurs on at least one roll?

 Option A: 25/36

 Option B: 125/216

 Option C: 64/107

 Option D: 11/36

 Option E: 36/216
Output: Option C
Input: Question: What is the greatest positive integer x such that 3^x is a factor of 9^7?

 Option A: 5

 Option B: 14

 Option C: 10

 Option D: 20

 Option E: 30
Output: Option B
Input: Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?

 Option A: 76 cm2

 Option B: 15 cm2

 Option C: 76 cm2

 Option D: 17 cm2

 Option E: 35 cm2
Output: Option E
Input: Question: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.

 Option A: 4/13

 Option B: 1/52

 Option C: 1/4

 Option D: 1/3

 Option E: None of above
Output: Option A
Input: Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of n for how many dollars was each share sold?

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e
Output: Option C
Input: Question: A box contains 10 tablets of medicine A and 14 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.

 Option A: 12

 Option B: 16

 Option C: 17

 Option D: 19

 Option E: 21
Output: Option B
Input: Question: A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

 Option A: A neither losses nor gains

 Option B: A makes a profit of 11%

 Option C: A makes a profit of 20%

 Option D: B loses 20%

 Option E: None of these
Output: Option B
Input: Question: An old truck uses 16 gallons of diesel fuel in traveling 224 miles. In order for the truck to travel the same distance using 8 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

 Option A: 16

 Option B: 8

 Option C: 14

 Option D: 12

 Option E: 24
Output: Option C
Input: Question: when a number is divided by 13,the remainder is 11.When the same number is divided by 17,the remainder is 9.What is the number ?

 Option A: 389

 Option B: 356

 Option C: 380

 Option D: 350

 Option E: 349
Output: Option E
Input: Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?

 Option A: 1 kmph

 Option B: 6 kmph

 Option C: 8 kmph

 Option D: 9 kmph

 Option E: 3 kmph
Output: Option A
Input: Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range W of the 10 numbers?

 Option A: 25

 Option B: 27

 Option C: 30

 Option D: 52

 Option E: 55
Output: Option D
Input: Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 12 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e
Output: Option D
Input: Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?

 Option A: 65000

 Option B: 67000

 Option C: 70000

 Option D: 72000

 Option E: 75000
Output: Option D
Input: Question: A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?

 Option A: 10

 Option B: 20

 Option C: 30

 Option D: 40

 Option E: 50
Output: Option A
Input: Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?

 Option A: 1: 5

 Option B: 1: 0

 Option C: 1: 9

 Option D: 1: 4

 Option E: 1: 2
Output: Option C
Input: Question: Ashok borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of 11,400/ - at the end of nine years, how much money did he borrow?

 Option A: 16,060

 Option B: 14,000

 Option C: 18,000

 Option D: 12,000

 Option E: None of these
Output: Option D
Input: Question: Rectangular tile each of size 80cm by 40cm must be laid horizontally on a rectangular floor of size 130cm by 230cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:

 Option A: 6

 Option B: 2

 Option C: 8

 Option D: 9

 Option E: 7
Output: Option D
Input: Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?

 Option A: 60

 Option B: 68

 Option C: 67

 Option D: 69

 Option E: 70
Output: Option B
Input: Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?

 Option A: 7 min

 Option B: 8 min

 Option C: 9 min

 Option D: 10 min

 Option E: 12 min
Output: Option B
Input: Question: Of 120 applicants for a job, 56 had at least 4 years' experience, 72 had degrees, and 12 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?

 Option A: 10

 Option B: 15

 Option C: 22

 Option D: 20

 Option E: 24
Output: Option D
Input: Question: Find the area of a cuboid of length 15cm , breadth 10 cm . and height 16cm.

 Option A: 2400 cm cube

 Option B: 2410 cm cube

 Option C: 2420 cm cube

 Option D: 2430 cm cube

 Option E: 2480 cm cube
Output: Option A
Input: Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is?

 Option A: 12

 Option B: 24

 Option C: 36

 Option D: 38

 Option E: 40
Output: Option B
Input: Question: The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 202 to 300 inclusive?

 Option A: 5,150

 Option B: 7,550

 Option C: 10,150

 Option D: 12,550

 Option E: 20,150
Output: Option D
Input: Question: What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?

 Option A: 11

 Option B: 12

 Option C: 13

 Option D: 14

 Option E: 15
Output: Option A
Input: Question: Of the 75 cars on a car lot, 45 have air-conditioning, 35 have power steering, and 12 have both air-conditioning and power steering. How many of the cars on the lot have neither air-conditioning nor power steering?

 Option A:  7

 Option B:  8

 Option C:  10

 Option D:  15

 Option E:  18
Output: Option A
Input: Question: Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of this mixture is X ?

 Option A: 10%

 Option B: 33.33 %

 Option C: 40%

 Option D: 50%

 Option E: 66.66 %
Output: Option B
Input: Question: Population of a city in 20004 was 1300000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007

 Option A: 354354

 Option B: 545454

 Option C: 465785

 Option D: 456573

 Option E: 2818075/2
Output: Option E
Input: Question: In a workshop there are 3 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?

 Option A: 168.

 Option B: 80.

 Option C: 60.

 Option D: 48.

 Option E: 16.
Output: Option C
Input: Question: What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?

 Option A: 9

 Option B: 8

 Option C: 5

 Option D: 11

 Option E: 15
Output: Option D
Input: Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%?

 Option A: 228

 Option B: 384

 Option C: 267

 Option D: 288

 Option E: 276
Output: Option B
Input: Question: Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?

 Option A: 120 grams

 Option B: 140 grams

 Option C: 240 grams

 Option D: 280 grams

 Option E: None of these
Output: Option C
Input: Question: If a·b·c·d=510, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?

 Option A: 9

 Option B: 10

 Option C: 11

 Option D: 13

 Option E: 15
Output: Option E
Input: Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 4 baseball cards. How many baseball cards do you have at the end?

 Option A: 11

 Option B: 12

 Option C: 13

 Option D: 14

 Option E: 15
Output: Option B
Input: Question: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
A.
B.
C.
D.
E.

 Option A: 8

 Option B: 13

 Option C: 16

 Option D: 24

 Option E: 27
Output: Option B
Input: Question: 6/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is

 Option A: 28%

 Option B: 54%

 Option C: 45%

 Option D: 72%

 Option E: 78%
Output: Option B
Input: Question: In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?

 Option A: 7/12

 Option B: 5/12

 Option C: 3/8

 Option D: 1/3

 Option E: 1/4
Output: Option C
Input: Question: Product of two co-prime numbers is 117. Their L.C.M should be

 Option A: 1

 Option B: 117

 Option C: equal to their H.C.F

 Option D: cannot be calculated

 Option E: None
Output: Option B
Input: Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

 Option A: 88

 Option B: 27

 Option C: 32

 Option D: 80

 Option E: 12
Output: Option C
Input: Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:

 Option A: 6

 Option B: 7

 Option C: 8

 Option D: 9

 Option E: 10
Output: Option A
Input: Question: A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?

 Option A: 22

 Option B: 20

 Option C: 9

 Option D: 8

 Option E: 1
Output: Option B
Input: Question: A man swims downstream 96 km and upstream 64 km taking 4 hours each time; what is the speed of the current?

 Option A: 6

 Option B: 4

 Option C: 2

 Option D: 8

 Option E: 5
Output: Option B
Input: Question: A man can do a piece of work in 5days, but with the help of his son, he can finish it in 2days. In what time can the son do it alone?

 Option A: 3 1/3

 Option B: 5 1/2

 Option C: 7 1/2

 Option D: 6

 Option E: 9 1/2
Output: Option A
Input: Question: A train has a length of 150 meters . it is passing a man who is moving at 4 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.

 Option A: 182 km/hr

 Option B: 184 km/hr

 Option C: 152 km/hr

 Option D: 169 km/hr

 Option E: 179 km/hr
Output: Option B
Input: Question: Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long R would it take Victor to complete 10 jobs without any supervision?

 Option A: 34

 Option B: 52

 Option C: 60

 Option D: 70

 Option E: 92
Output: Option C
Input: Question: If A : B = 4 : 9 and B : C = 5 : 9 then A : B : C is :

 Option A: 20 : 35 : 63

 Option B: 35 : 36 : 63

 Option C: 30 : 35 : 65

 Option D: 20 :45: 81

 Option E: None of these
Output: Option D
Input: Question: A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

 Option A: 45

 Option B: 60

 Option C: 75

 Option D: 90

 Option E: 105
Output: Option B
Input: Question: 3 + 3 + 3 + 2 × 3^2 + 2 × 3^3 + 2 × 3^4 + 2 × 3^5 + 2 × 3^6 + 2 × 3^7 =

 Option A: 3^7

 Option B: 3^8

 Option C: 3^14

 Option D: 3^28

 Option E: 3^30
Output: Option B
Input: Question: The difference between a number and its two-fifth is 510. What is 10% of that number?

 Option A: 12.75

 Option B: 85

 Option C: 204

 Option D: 224

 Option E: 95
Output: Option B
Input: Question: A box contains eleven bulbs out of which six are defective. If six bulbs are chosen at random, find the probability that all the six bulbs are defective?

 Option A: 1/450

 Option B: 1/422

 Option C: 1/429

 Option D: 1/136

 Option E: 1/462
Output: Option E