dataset
string
id
string
question
string
choices
list
rationale
string
answer
string
subject
string
aqua_rat
aqua_rat_8109
In a group of 100 adults, 50 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
[ "52", "54", "60", "76" ]
null
D
null
aqua_rat
aqua_rat_29324
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
[ "21/46", "1/50", "3/25", "6/25" ]
null
A
null
aqua_rat
aqua_rat_83440
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
[ "Rs. 690", "Rs. 698", "Rs. 700", "Rs. 720" ]
null
B
null
aqua_rat
aqua_rat_34880
If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
[ "5/2", "10/3", "15/4", "25/3" ]
null
A
null
aqua_rat
aqua_rat_77397
If (t-8) is a factor of t^2-kt-46, then k=
[ "12", "2", "6", "14" ]
null
D
null
aqua_rat
aqua_rat_48373
A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½" on either side. What fractional part of the paper is available to him for typing ?
[ "2⁄3", "1⁄3", "5⁄7", "None of these" ]
null
A
null
aqua_rat
aqua_rat_75155
19 people went to a hotel for combine dinner party 13 of them spent Rs. 79 each on their dinner and rest spent 4 more than the average expenditure of all the 19. What was the total money spent by them.
[ "1534", "1492", "1496", "None of these" ]
null
D
null
aqua_rat
aqua_rat_41388
The decimal 0.1 is how many times greater than the decimal (0.01)^4?
[ "10^6", "10^7", "10^8", "10^9" ]
null
B
null
aqua_rat
aqua_rat_68327
If Josh, Doug, and Brad have a total of $72 between them, and Josh has three times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?
[ "$9", "$27", "$32", "$36" ]
null
D
null
aqua_rat
aqua_rat_19509
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
[ "25", "35", "45", "55" ]
null
B
null
aqua_rat
aqua_rat_26815
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
[ "96 km/hr.", "78 km/hr.", "42 km/hr.", "36 km/hr." ]
null
D
null
aqua_rat
aqua_rat_30553
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r − s?
[ "8", "− 2", "− 3", "− 5" ]
null
A
null
aqua_rat
aqua_rat_85084
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
[ "4", "7", "1", "2" ]
null
A
null
aqua_rat
aqua_rat_61947
10 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?
[ "7", "8", "9", "10" ]
null
A
null
aqua_rat
aqua_rat_35742
The average age of 20 men in the class is 17.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
[ "7.4", "15.25", "15.3", "15.6" ]
null
A
null
aqua_rat
aqua_rat_67422
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
[ "6", "1", "8", "9" ]
null
A
null
aqua_rat
aqua_rat_91801
The difference between a number and its two-fifth is 510. What is 60% of that number?
[ "510", "514", "516", "518" ]
null
A
null
aqua_rat
aqua_rat_84416
B can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
[ "B-12.", "B-9.", "B-10.", "B-13." ]
null
C
null
aqua_rat
aqua_rat_18630
(a/2)/(b/c) In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the largest possible value of the expression?
[ "8/2", "1/8", "2/4", "4/6" ]
null
A
null
aqua_rat
aqua_rat_13884
If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is
[ "Rs. 155.50", "Rs. 156.50", "Rs. 157.50", "None of these" ]
null
C
null
aqua_rat
aqua_rat_76975
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
[ "1000", "3000", "4000", "5000" ]
null
A
null
aqua_rat
aqua_rat_82004
There are 145 bananas lying in a shop which is to be divided equally among 12 candidates. Find the extra number of bananas lying with the shop owner after distribution.
[ "1", "3", "4", "9" ]
null
A
null
aqua_rat
aqua_rat_26528
The average height of 6 people is 67 inches. When Robert's height is included, the average increases by 2 inches. How tall is Robert in inches?
[ "81", "69", "84", "67" ]
null
A
null
aqua_rat
aqua_rat_44952
6 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
[ "6 days", "82/8 days", "22/76 days", "22/2 days" ]
null
A
null
aqua_rat
aqua_rat_14410
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
[ "8", "1", "6", "1.5" ]
null
D
null
aqua_rat
aqua_rat_50240
Mary can do a piece of work in 12 days. Rosy is 50% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
[ "8", "9", "11", "10" ]
null
A
null
aqua_rat
aqua_rat_81777
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
[ "3/37", "9/42", "5/41", "7/43" ]
null
B
null
aqua_rat
aqua_rat_86314
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
[ "127.5 m", "167.5 m", "128.5 m", "127.1 m" ]
null
A
null
aqua_rat
aqua_rat_28023
Peter wants to get $200,000 for his house. An agent charges 20% of the selling price for selling the house for Peter.What will be the agent's commission?
[ "$35,000", "$60,000", "$80,000", "$50,000" ]
null
D
null
aqua_rat
aqua_rat_18638
How many positive integers will divide evenly into 230?
[ "6", "8", "12", "16" ]
null
B
null
aqua_rat
aqua_rat_88737
what is the probability of getting 53 mondays in a leap year?
[ "2/7", "3/7", "4/7", "5/7" ]
null
A
null
aqua_rat
aqua_rat_76534
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
[ "52:53", "51:53", "52:55", "52:59" ]
null
A
null
aqua_rat
aqua_rat_59876
The tax on a commodity is diminished by 10% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
[ "4%", "32%", "12%", "52%" ]
null
A
null
aqua_rat
aqua_rat_81658
The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?
[ "54", "87", "78", "95" ]
null
A
null
aqua_rat
aqua_rat_35013
If 0 < q < 1, what is the median of the values q, q^-1, q^2, q^1/2 and q^3?
[ "q", "q^2", "q^1/2", "q^3" ]
null
A
null
aqua_rat
aqua_rat_49178
Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 15 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
[ "A)Rs.780", "C)Rs.700", "D)Rs.595", "None of these" ]
null
A
null
aqua_rat
aqua_rat_27089
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 50 paisa and Z gets 40 paisa. If the share of X is RS. 30, what is the total amount?
[ "55", "62", "47", "57" ]
null
D
null
aqua_rat
aqua_rat_77780
5 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
[ "9/120", "15/24", "18/24", "21/24" ]
null
A
null
aqua_rat
aqua_rat_73819
If the units digit of n^31 is 7, which of the following could be the value of n? I. n = 41 II. n = 43 III. n = 47
[ "Only II", "Only III", "I and II", "II and III" ]
null
A
null
aqua_rat
aqua_rat_70805
The average weight of 8 person's increases by 6 kg when a new person comes in place of one of them weighing 45 kg. What is the weight of the new person?
[ "93", "56", "80.5", "78" ]
null
A
null
aqua_rat
aqua_rat_18333
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
[ "1", "10", "19", "None of the above" ]
null
C
null
aqua_rat
aqua_rat_84049
4, 12, 48, 240, 1440, 10080,(...)
[ "80640", "6200", "10020", "12500" ]
null
A
null
aqua_rat
aqua_rat_62747
Four persons enter the lift of a six storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
[ "625", "1540", "1478", "360" ]
null
A
null
aqua_rat
aqua_rat_60175
Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
[ "Rs.150", "Rs.176", "Rs.165", "Rs.156" ]
null
A
null
aqua_rat
aqua_rat_28372
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
[ "3/7", "4/7", "5/7", "16/21" ]
null
D
null
aqua_rat
aqua_rat_85362
If the prime factorization of the integer q can be expressed as a^2xb^xc^3x−1, where a, b, c, and x are distinct positive integers, which of the following could be the total number of factors of q?
[ "5k + 5, where k is a positive integer", "6l + 2, where l is a positive integer", "9m + 7, where m is a positive integer", "10n + 1, where n is a positive integer" ]
null
A
null
aqua_rat
aqua_rat_33974
Suppose 6 monkeys take 6 minutes to eat 6 bananas. How many monkeys would it take to eat 18 bananas in 18 minutes?
[ "10", "11", "6", "13" ]
null
C
null
aqua_rat
aqua_rat_1435
In a certain town, there are two 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
[ "2 to 3", "1 to 2", "3 to 4", "4 to 5" ]
null
A
null
aqua_rat
aqua_rat_61056
27 is a perfect cube. When x is perfect cube which is added to the prime factor of 27, the result is not a prime number. What is the square root of x?
[ "4", "6", "8", "10" ]
null
B
null
aqua_rat
aqua_rat_8805
The two lines y=x and x=-8 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
[ "32", "36", "40", "44" ]
null
A
null
aqua_rat
aqua_rat_95264
A certain class of students is being divided into teams. The class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
[ "24", "48", "60", "72" ]
null
A
null
aqua_rat
aqua_rat_73586
Pipe A fills a tank in 12 minutes. Pipe B can fill the same tank 3 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
[ "6 mins", "5 mins", "3 mins", "7 mins" ]
null
C
null
aqua_rat
aqua_rat_42506
The entire contents of a full sack of flour can be used to make 15 cupcakes and 10 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
[ "21 1/2", "18 3/4", "19", "19 1/4" ]
null
A
null
aqua_rat
aqua_rat_75245
A rotameter is a device that measures flow of liquid and gases. When measuring liquid phase flows, 2.5 inches represent 60 liters per minute of liquid. With gas measurements the rotameter moves 50% of the movement he moves with the liquid phase. How many liters of gas passed through the rotameter if it measured 4 inches?
[ "192", "202", "218", "284" ]
null
A
null
aqua_rat
aqua_rat_87275
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
[ "674 m", "245 m", "187 m", "765 m" ]
null
B
null
aqua_rat
aqua_rat_12083
which number need to add to 859622 to get a number divisible by 456?
[ "456578", "676885", "788090", "859622" ]
null
D
null
aqua_rat
aqua_rat_56572
In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons?
[ "1716", "230", "250", "270" ]
null
A
null
aqua_rat
aqua_rat_27619
The least number which when divided by 2, 3, 5 and 6 leaves a remainder 3, but when divided by 9 leaves no remainder, is
[ "63", "73", "83", "None of these" ]
null
A
null
aqua_rat
aqua_rat_18126
8.036 divided by 0.04 gives :
[ "200.9", "20.06", "100.9", "200.6" ]
null
A
null
aqua_rat
aqua_rat_12156
How many integer values T are there for x such that 1 < 3x + 5 < 17?
[ "Three", "Four", "Five", "Six" ]
null
C
null
aqua_rat
aqua_rat_65297
If n = 6^11 – 6, what is the units digit of n?
[ "0", "4", "6", "8" ]
null
A
null
aqua_rat
aqua_rat_27041
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand K nor Brand B soap, 60 used only Brand K soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
[ "20", "30", "40", "45" ]
null
C
null
aqua_rat
aqua_rat_13781
If x and y are three-digit integers such that x > 400 and y<700, which of the following is closest to the maximum possible value of xy ?
[ "698,301", "45,000", "76,000", "28,000" ]
null
A
null
aqua_rat
aqua_rat_62970
Tom bought 2 shares and sold them for $88 each. If he had a profit of 10% on the sale of one of the shares but a loss of 12% on the sale of the other share, then on the sale of both shares Tom had
[ "a loss of $4", "a profit of $8", "a loss of $8", "neither a profit nor a loss" ]
null
A
null
aqua_rat
aqua_rat_32645
What are the last two digits of (301*402*502*604*646*547*448*349)^2
[ "76", "56", "36", "16" ]
null
B
null
aqua_rat
aqua_rat_8715
If f(x)=4x−1 and g(x)=2x+1 for all integers, which of the following is a possible value of g(f(x))?
[ "-17", "0", "8", "20" ]
null
A
null
aqua_rat
aqua_rat_83520
There are 380 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
[ "209", "57", "171", "220" ]
null
D
null
aqua_rat
aqua_rat_38290
If a+b+c=13, a2+b2+c2=69, then find ab+bc+ca
[ "50", "69", "75", "89" ]
null
A
null
aqua_rat
aqua_rat_12426
If 4% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is
[ "250", "200", "288", "111" ]
null
A
null
aqua_rat
aqua_rat_52282
Which of the following describes all values of x for which 16–x^2 >= 0?
[ "x <= –1", "0 <= x <= 1", "x <= –1 or x >= 1", "–4 <= x <= 4" ]
null
D
null
aqua_rat
aqua_rat_77942
A rower can row upstream at 7 km/hr and downstream at 15 km/hr. What is the rower's rate in still water?
[ "10 km/hr", "11 km/hr", "12 km/hr", "13 km/hr" ]
null
B
null
aqua_rat
aqua_rat_64722
The HCF of two numbers is 52 and the other two factors of their LCM are 11 and 12. What is the largest number.
[ "624", "480", "504", "555" ]
null
A
null
aqua_rat
aqua_rat_67362
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
[ "Rs.19,828.80", "Rs.19,828.92", "Rs.19,822.00", "Rs.19,828.24" ]
null
A
null
aqua_rat
aqua_rat_92111
0.99998+0.11112=?
[ "1.0001", "1.0021", "1.1111", "1.111" ]
null
C
null
aqua_rat
aqua_rat_71744
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers
[ "10", "16", "17", "20" ]
null
C
null
aqua_rat
aqua_rat_16454
How many sides does the polygon have if the total angles measures up to 900 degrees?
[ "7", "4", "6", "None of these" ]
null
A
null
aqua_rat
aqua_rat_79737
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
[ "144 mins", "136 mins", "132 mins", "None of these" ]
null
A
null
aqua_rat
aqua_rat_64321
From the given equation find the value of x: x² − 3x + 2
[ "1", "2", "3", "6" ]
null
B
null
aqua_rat
aqua_rat_83031
How many different subsets of the set {10, 14, 13, 24} are there that contain an odd number of elements?
[ "6", "8", "10", "12" ]
null
B
null
aqua_rat
aqua_rat_92245
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
[ "2778", "2522", "2988", "2771" ]
null
B
null
aqua_rat
aqua_rat_42387
What is the principal sum? I. The sum amounts to Rs. 660 in 3 years at S.I. II. The sum amounts to Rs. 700 at S.I. III. The rate of interest is 6% p.a.
[ "I and III only", "I and II only", "Any two of the three", "None of these" ]
null
A
null
aqua_rat
aqua_rat_32805
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 290 pounds. What is Jake’s present weight, in pounds?
[ "135", "169", "196", "212" ]
null
C
null
aqua_rat
aqua_rat_2307
If x is 20 percent greater than 98, then x =
[ "70.4", "86", "105.6", "117.6" ]
null
D
null
aqua_rat
aqua_rat_91864
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is
[ "285", "878", "227", "291" ]
null
A
null
aqua_rat
aqua_rat_48502
12 is 4% of a, and 4 is 12% of b. c equals b/a. What is the value of c?
[ "1/3", "1/6", "1/9", "1/12" ]
null
C
null
aqua_rat
aqua_rat_51022
What is the leastvalue of x.So that 23X57 is divisible by 3?
[ "1", "5", "6", "8" ]
null
A
null
aqua_rat
aqua_rat_90422
If a mixture is 1⁄2 alcohol by volume and 3⁄2 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
[ "4⁄7", "3⁄4", "4⁄3", "7⁄4" ]
null
B
null
aqua_rat
aqua_rat_11993
For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”2?
[ "3", "2", "1", "0" ]
null
D
null
aqua_rat
aqua_rat_30061
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
[ "34 kmph", "30 kmph", "45 kmph", "65 kmph" ]
null
B
null
aqua_rat
aqua_rat_81867
There is a right angle triangle inside a circle of diameter 18cm. Inside this triangle ,there is another circle of diameter 6 cm. Find the perimeter of the triangle.
[ "36*2^1/2cm", "36cm", "54cm", "42cm" ]
null
D
null
aqua_rat
aqua_rat_30169
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 90 km/hr, what is the length of the platform?
[ "240", "287", "400", "191" ]
null
C
null
aqua_rat
aqua_rat_51063
The average runs scored by a batsman in 35 matches is 36. In the next 14 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
[ "35", "29", "25", "30" ]
null
D
null
aqua_rat
aqua_rat_60977
In a school with 640 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
[ "160", "250", "350", "None" ]
null
A
null
aqua_rat
aqua_rat_47152
If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?
[ "20% decrease", "10% decrease", "15% increase", "25% decrease" ]
null
A
null
aqua_rat
aqua_rat_66911
Two trains of length 100 m and 200 m are 70 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
[ "2 sec", "20/7 sec", "32/3 sec", "53/2 sec" ]
null
A
null
aqua_rat
aqua_rat_15887
The total of 342 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
[ "290", "278", "200", "288" ]
null
A
null
aqua_rat
aqua_rat_92971
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ?
[ "1/16", "9/10", "15/16", "31/32" ]
null
D
null
aqua_rat
aqua_rat_11882
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
[ "8", "7", "4", "2" ]
null
A
null
aqua_rat
aqua_rat_19902
What is the possible value of 2*((1+1/100)^100)
[ "5.4", "7.4", "8.4", "4.4" ]
null
A
null
aqua_rat
aqua_rat_95874
There are twenty players on a rugby team. If the average weight of the players is 180 pounds, what will be the new average height if a 210 pound player will join the team?
[ "183.22", "184.96", "181.43", "182.78" ]
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C
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