dataset stringclasses 5
values | id stringlengths 6 18 | question stringlengths 3 1.92k | choices listlengths 1 36 | answer stringclasses 5
values |
|---|---|---|---|---|
aqua_train | aqua_train_79172 | What will be the vulgar fraction of 0.60 | [
"A)3/7",
"B)3/5",
"C)3/2",
"D)3/7",
"E)3/8"
] | B |
aqua_train | aqua_train_53966 | On dividing a number by 56, we get 27 as remainder. On dividing the same number by 8, what will be the remainder ? | [
"A)2",
"B)3",
"C)4",
"D)5",
"E)6"
] | B |
aqua_train | aqua_train_89893 | The diagonals of a rhombus are 30 cm and 20 cm. Find its area? | [
"A)176",
"B)190",
"C)150",
"D)278",
"E)300"
] | E |
aqua_train | aqua_train_47587 | A man can row downstream at the rate of 12 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current? | [
"A)9,6",
"B)6,3",
"C)9,3",
"D)6,6",
"E)None of these"
] | C |
science_train | science_train_3010 | Question: What do these two changes have in common?
chemicals in a battery reacting to power a flashlight
compost rotting
Hints: | [
"Both are chemical changes.",
"Both are caused by cooling.",
"Both are caused by heating.",
"Both are only physical changes."
] | A |
aqua_train | aqua_train_34264 | The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If p is any prime, number then f(p)= | [
"A)p-1",
"B)p-2",
"C)(p+1)/2",
"D)(p-1)/2",
"E)2"
] | A |
aqua_train | aqua_train_50646 | From 6 positive numbers and 6 negative numbers, how many groups C of 4 numbers, yielding a positive product, can be formed? | [
"A)720",
"B)625",
"C)30",
"D)960",
"E)255"
] | E |
aqua_train | aqua_train_78376 | A certain junior class has 1,200 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair? | [
"A)3/40,000",
"B)1/3,600",
"C)9/2,000",
"D)1/60",
"E)1/16,000"
] | E |
aqua_train | aqua_train_93315 | In a shop, the marked price of an article is worked out in such a way that it generates a profit of 33133313. What should be the discount percent allowed on the marked price during a sale, so that the final profit made is 20%? | [
"A)13 1/3",
"B)12 1/2",
"C)10%",
"D)8 1/2",
"E)6 2/3"
] | C |
aqua_train | aqua_train_85347 | A man's speed with the current is 15 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is? | [
"A)10",
"B)20",
"C)50",
"D)8.6",
"E)40"
] | D |
aqua_train | aqua_train_73366 | A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed. | [
"A)36",
"B)54",
"C)67",
"D)76",
"E)None"
] | B |
aqua_train | aqua_train_50524 | A certain manufacturer sells its products to stores in 112 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufac... | [
"A)10^4",
"B)10^5",
"C)10^6",
"D)10^8",
"E)10^9"
] | E |
aqua_train | aqua_train_62819 | The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is | [
"A)33",
"B)35",
"C)28",
"D)220",
"E)21"
] | B |
aqua_train | aqua_train_50928 | Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer. | [
"A)75 × 8 ÷ 6",
"B)98 ÷ 2.5 + 15.2 × 4",
"C)√225 – 5 × 2(2)",
"D)76 × 1.5 – 5.5 × 2.6",
"E)48 × 1.2 + 127.2 ÷ 3"
] | D |
science_train | science_train_5078 | Question: Is pyrite a mineral or a rock?
Hints: | [
"rock",
"mineral"
] | B |
aqua_train | aqua_train_72000 | The security gate at a storage facility requires a five-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be even, how many lock codes are possible? | [
"A)120",
"B)240",
"C)360",
"D)720",
"E)1440"
] | C |
aqua_train | aqua_train_30673 | Each of the 47 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 14 students sign up for the poetry club, 22 students for the history club, and 20 studen... | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | C |
aqua_train | aqua_train_81675 | In the coordinate plane a slope of the line K is 3/2 times the y-intercept of the line K. What is the x-intercept of the line K? | [
"A)-2",
"B)2/3",
"C)-2/3",
"D)1/4",
"E)3/2"
] | B |
aqua_train | aqua_train_21535 | If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does √n have? | [
"A)6",
"B)5",
"C)2",
"D)3",
"E)4"
] | D |
sciq | sciq_4 | In sexual reproduction, what is the name of the gamete cell the male must contribute? | [
"plasma",
"spore",
"ova",
"sperm"
] | D |
sciq | sciq_4 | The major fuel for the brain is which carbohydrate? | [
"glutamate",
"sucrose",
"insulin",
"glucose"
] | D |
aqua_train | aqua_train_91994 | When x is divided by y, the quotient is u with remainder r. What is x in terms of r, y, and u? | [
"A)y + r + u",
"B)yu + r",
"C)x/y+r",
"D)y/u+r",
"E)ru + y"
] | B |
aqua_train | aqua_train_84891 | If 'A' runs faster than ‘E’ but not as fast as 'D' and 'D' runs faster than 'C' but not as fast as' ‘B’, then the person who runs the fastest is | [
"A)A",
"B)B",
"C)C",
"D)D",
"E)E"
] | B |
aqua_train | aqua_train_93501 | The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacke... | [
"A)36",
"B)47",
"C)58",
"D)65",
"E)72"
] | E |
aqua_train | aqua_train_8607 | In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? | [
"A)6",
"B)12",
"C)18",
"D)19",
"E)22"
] | B |
aqua_train | aqua_train_40335 | If p≠q and p·q≠0, which of the following may be true? | [
"A)(p+q)(p-q)=0",
"B)p=q",
"C)p^2=q^2",
"D)p.q=0",
"E)p^2+q^2=0"
] | A |
aqua_train | aqua_train_86136 | Set #1 = {A, B, C, D, E}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? | [
"A)1/6",
"B)1/3",
"C)1/2",
"D)2/3",
"E)5/6"
] | C |
aqua_train | aqua_train_84459 | When throwing 2 dices, and looking at the sum of numbers on the dices - what is the probability to have a sum which is smaller than 5? | [
"A)1/9",
"B)1/6",
"C)1/2",
"D)1/3",
"E)32/36"
] | B |
aqua_train | aqua_train_96479 | Two trains, each 160 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is? | [
"A)26 km/hr",
"B)17 km/hr",
"C)60 km/hr",
"D)77 km/hr",
"E)96 km/hr"
] | E |
aqua_train | aqua_train_72283 | If a2 - b2 = 10 and a*b = 8, find a4 + b4. | [
"A)200",
"B)228",
"C)182",
"D)102",
"E)128"
] | B |
aqua_train | aqua_train_58695 | Each child has 6 crayons and 12 apples. If there are 12 children, how many crayons are there in total? | [
"A)22",
"B)65",
"C)72",
"D)78",
"E)90"
] | C |
aqua_train | aqua_train_43498 | A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest? | [
"A)3.46%",
"B)3.96%",
"C)3.49%",
"D)4.46%",
"E)3.66%"
] | A |
aqua_train | aqua_train_17109 | A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 8.30 a.m. ? | [
"A)7",
"B)2",
"C)9",
"D)2",
"E)8"
] | B |
aqua_train | aqua_train_16067 | Two digits number is divided by the product of their digit and the result is 3.now 18 is added to the number the digit will be inter changed. what is the number. | [
"A)16",
"B)18",
"C)20",
"D)22",
"E)24"
] | E |
aqua_train | aqua_train_48519 | A class consists of 4 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block? | [
"A)9",
"B)32",
"C)36",
"D)60",
"E)240"
] | B |
sciq | sciq_4 | What kind of tests may detect substances associated with particular disorders? | [
"hormonal",
"electrical",
"genetic",
"biochemical"
] | D |
aqua_train | aqua_train_76714 | A first grade teacher uses ten flash cards, each numbered from 1 to10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many different correct arrange... | [
"A)70",
"B)210",
"C)336",
"D)840",
"E)1680"
] | A |
aqua_train | aqua_train_9383 | A man complete a journey in 30 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 10 km/hr. Find the total journey in km. | [
"A)220 km",
"B)224 km",
"C)230 km",
"D)400 km",
"E)234 km"
] | D |
aqua_train | aqua_train_17089 | The length of a room is 9 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre. | [
"A)25650",
"B)25750",
"C)26550",
"D)30750",
"E)38475"
] | E |
aqua_train | aqua_train_29825 | How many integers are between 7 and 57/4, inclusive? | [
"A)4",
"B)5",
"C)7",
"D)8",
"E)10"
] | D |
aqua_train | aqua_train_48598 | For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 171? | [
"A)4420",
"B)4860",
"C)5250",
"D)5780",
"E)6340"
] | B |
sciq | sciq_4 | Nonflowering vascular plants have three basic types of leaves: microphylls, fronds, and what other type? | [
"molds",
"tubes",
"stems",
"needles"
] | D |
aqua_train | aqua_train_28167 | 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? | [
"A)75000",
"B)70000",
"C)72000",
"D)78000",
"E)76000"
] | C |
aqua_train | aqua_train_96240 | In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there? | [
"A)1140",
"B)1160",
"C)1180",
"D)1200",
"E)1210"
] | B |
science_train | science_train_4492 | Question: The shopper lifts each bag at the same speed. Which bag is lifted with a larger force?
Hints: | [
"a bag holding 6 pounds of food",
"a bag holding 8 pounds of food"
] | B |
aqua_train | aqua_train_75227 | Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly. | [
"A)Rs 824.32",
"B)Rs 822.32",
"C)Rs 700",
"D)Rs 900",
"E)Rs 624.00"
] | A |
aqua_train | aqua_train_13157 | Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.30, 000. After how many months did Anoop join if the profits at the end of the year are divided equally? | [
"A)3",
"B)4",
"C)5",
"D)6",
"E)7"
] | B |
aqua_train | aqua_train_3441 | The product of two numbers is 120 and the sum of their squares is 289. Find the sum? | [
"A)23",
"B)20",
"C)15",
"D)26",
"E)28"
] | A |
aqua_train | aqua_train_22775 | Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? | [
"A)50",
"B)87",
"C)52",
"D)76",
"E)21"
] | A |
sciq | sciq_4 | Dry soils are relatively unproductive because plants need a sufficient quantity of liquid water to carry out what process? | [
"contraction",
"shrinkage",
"flowering",
"photosynthesis"
] | D |
aqua_train | aqua_train_26142 | A 6-liter solution is 20% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol? | [
"A)2.4",
"B)2.7",
"C)3.0",
"D)3.3",
"E)3.6"
] | E |
aqua_train | aqua_train_42510 | In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor t... | [
"A)1/2",
"B)2/3",
"C)4/5",
"D)6/11",
"E)4/5"
] | A |
aqua_train | aqua_train_83628 | An event manager has ten patterns of chairs and eight patterns of tables.In how many ways can he make a pair of table and chair? | [
"A)70",
"B)60",
"C)100",
"D)80",
"E)90"
] | D |
aqua_train | aqua_train_74563 | If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 60 kmh, what was the average speed of the car for the entire trip? | [
"A)36 kmh",
"B)40 kmh",
"C)42 kmh",
"D)44 kmh",
"E)50 kmh"
] | C |
aqua_train | aqua_train_44756 | A man's speed with the current is 21 km/hr and the speed of the current is 4.3 km/hr. The man's speed against the current is | [
"A)9.2",
"B)10.3",
"C)11.5",
"D)12.4",
"E)13"
] | D |
aqua_train | aqua_train_48795 | What is the total number of integers between 10 and 50 that are divisible by 2? | [
"A)18",
"B)19",
"C)22",
"D)25",
"E)10"
] | B |
aqua_train | aqua_train_51076 | If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 10, respectively, what is the probability that b/a will not be an integer? | [
"A)1/2",
"B)1/3",
"C)1/4",
"D)1/6",
"E)1/8"
] | B |
sciq | sciq_4 | Colonial organisms were probably one of the first evolutionary steps towards which type of organisms? | [
"double cellular",
"mutated",
"fetus",
"multicellular"
] | D |
aqua_train | aqua_train_74784 | Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent? | [
"A)28%",
"B)23%",
"C)22%",
"D)26%",
"E)25%"
] | E |
aqua_train | aqua_train_17191 | If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ? | [
"A)X-1/8",
"B)X/2",
"C)X/4",
"D)X/32",
"E)X/16"
] | A |
aqua_train | aqua_train_58920 | A car going at 30 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.? | [
"A) 45",
"B) 50",
"C) 53",
"D) 55",
"E) 60"
] | E |
aqua_train | aqua_train_67175 | The value of log2(log5625) is | [
"A)2",
"B)5",
"C)10",
"D)15",
"E)20"
] | A |
aqua_train | aqua_train_76721 | What is the prime factors’ number of 48? | [
"A)2",
"B)3",
"C)4",
"D)5",
"E)6"
] | D |
aqua_train | aqua_train_10159 | 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 3025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? | [
"A)140",
"B)150",
"C)160",
"D)170",
"E)220"
] | E |
aqua_train | aqua_train_73408 | What is the area of a regular hexagon with sides 1 in. long? | [
"A)1.59 square inch",
"B)2.59 square inch",
"C)3.59 square inch",
"D)4.59 square inch",
"E)2.69 square inch"
] | B |
aqua_train | aqua_train_79351 | If j and k are two positive integers and j/k = 1.05, then j can equal which one of the following? | [
"A) 15",
"B) 21",
"C) 20",
"D) 22",
"E) 23"
] | B |
aqua_train | aqua_train_56338 | A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 340 miles apart, at what time will the trains pass each other? | [
"A)12:40pm",
"B)12:49pm",
"C)12:55pm",
"D)1:00pm",
"E)1:05pm"
] | C |
sciq | sciq_4 | Researchers have identified the receptor proteins for all of the tastes except which? | [
"sweet",
"bitter",
"acid",
"salty"
] | D |
aqua_train | aqua_train_86421 | An empty wooden vessel weighs 14% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled. | [
"A)6/13",
"B)5/9",
"C)1/24",
"D)4/9",
"E)2/5"
] | A |
aqua_train | aqua_train_34890 | What will be the vulgar fraction of 0.5 | [
"A)3/5",
"B)1/2",
"C)3/2",
"D)3/7",
"E)3/8"
] | B |
aqua_train | aqua_train_76706 | Three unbased coins are tossed. the probability of getting at most two head is ? | [
"A)1/2",
"B)7/8",
"C)3/4",
"D)1/5",
"E)2/3"
] | B |
aqua_train | aqua_train_38560 | The average of first four prime numbers greater than 10 is? | [
"A)10",
"B)20",
"C)15",
"D)40",
"E)50"
] | C |
aqua_train | aqua_train_44030 | Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 15 phone numbers by using the readable digits followed by 15 different random comb... | [
"A)1/9",
"B)10/243",
"C)1/18",
"D)10/271",
"E)1/1000000"
] | C |
aqua_train | aqua_train_12582 | The ratio of investments of A, B and C is 5:7:7. If they share the profit in the ratio of 5:9:14, then find the ratio of their periods of investments. | [
"A)1:1:2",
"B)3:5:6",
"C)3:2:4",
"D)2:4:3",
"E)2:5:3"
] | A |
aqua_train | aqua_train_94232 | The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? | [
"A)4 years",
"B)8 years",
"C)10 years",
"D)12 years",
"E)None of these"
] | A |
aqua_train | aqua_train_13127 | If f(x) = 3x^4 - 4x^3 - 2x^2 + 5x , then f(-1) = | [
"A)-4",
"B)-2",
"C)0",
"D)2",
"E)4"
] | C |
aqua_train | aqua_train_67374 | Calculate the sum of first 19 natural numbers. | [
"A)190",
"B)120",
"C)150",
"D)199",
"E)110"
] | A |
aqua_train | aqua_train_45738 | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent? | [
"A)16%",
"B)88%",
"C)18%",
"D)14%",
"E)28%"
] | C |
aqua_train | aqua_train_91479 | Find the L.C.M of 42,88,220 | [
"A)1120",
"B)1320",
"C)1220",
"D)1420",
"E)1520"
] | B |
aqua_train | aqua_train_35644 | How many different positive integers are factors of 256 ? | [
"A) 4",
"B) 6",
"C) 8",
"D) 16",
"E) 18"
] | D |
aqua_train | aqua_train_27195 | The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the grou... | [
"A)2 feet per second",
"B)2.5 feet per second",
"C)3 feet per second",
"D)4 feet per second",
"E)5 feet per second"
] | E |
aqua_train | aqua_train_45103 | If N = 2^0.25 and N^b = 8, b must equal | [
"A)3/80",
"B)3/5",
"C)12",
"D)5/3",
"E)80/3"
] | C |
aqua_train | aqua_train_69487 | The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is? | [
"A)10 m",
"B)16 m",
"C)245 m",
"D)19 m",
"E)235 m"
] | E |
sciq | sciq_4 | Name the simple sugar that is a component of starch. | [
"Fructose",
"Splenda",
"insulin",
"glucose"
] | D |
aqua_train | aqua_train_13724 | A bag holds 2 blue marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be blue? | [
"A)1/12",
"B)1/10",
"C)3/10",
"D)2/5",
"E)1/2"
] | B |
sciq | sciq_4 | Long distance runners try to maintain constant velocity with very little acceleration or deceleration to conserve what? | [
"fuel",
"pressure",
"momentum",
"energy"
] | D |
aqua_train | aqua_train_93128 | A number a is squared and then multiplied by negative 6. The result of this operation is equal to three times the sum of FOURTH times a and two. What is one possible value of a ? | [
"A)2",
"B)3",
"C)4",
"D)1",
"E)5"
] | D |
aqua_train | aqua_train_59221 | How many independent words can 'HEARTLESS' be divided into without changing the order of the letters and using each letter only once ? | [
"A)1",
"B)2",
"C)5",
"D)3",
"E)4"
] | D |
sciq | sciq_4 | What is the cause of behavioral difference between populations? | [
"environmental factors",
"electromagnetic differences",
"genetic wavelengths",
"genetic differences"
] | D |
sciq | sciq_4 | A fully developed placenta is made up of a large mass of what? | [
"brain tissues",
"plant cells",
"estrogen hormones",
"blood vessels"
] | D |
aqua_train | aqua_train_48972 | Look at this series: 15, 15, 27, 27, 39, 39,? ... What number should fill the blank? | [
"A)51",
"B)39",
"C)23",
"D)15",
"E)None"
] | A |
aqua_train | aqua_train_8474 | The value of (4.7×13.26 + 4.7×9.43+4.7×77.31) is | [
"A)0.47",
"B)47",
"C)470",
"D)4700",
"E)None"
] | C |
aqua_train | aqua_train_10196 | 5 years ago Kate was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find the age of son? | [
"A)7",
"B)8",
"C)9",
"D)10",
"E)11"
] | E |
aqua_train | aqua_train_22678 | Working simultaneously and independently at an identical constant rate, 30 machines of a certain type can produce a total of x units of product P in 3 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5x units of product P in 10 days? | [
"A)41",
"B)44",
"C)45",
"D)47",
"E)50"
] | C |
ds_train | ds_train_895 | In the context of supervised learning, let us consider a dataset with \( N \) samples, each having \( D \) features. If we are using a linear regression model with the mean squared error (MSE) as the cost function, which of the following accurately represents the computational complexity of a single update in the gradi... | [
"A. \\( O(D) \\)\nB. \\( O(N) \\)\nC. \\( O(ND) \\)\nD. \\( O(N^2D) \\)"
] | C |
aqua_train | aqua_train_74996 | Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book? | [
"A)25 days",
"B)20 days",
"C)46 days",
"D)21 days",
"E)None of these"
] | E |
aqua_train | aqua_train_62996 | A certain box has 12 cards and each card has one of the integers from 1 to 12 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the ... | [
"A)1/11",
"B)2/23",
"C)3/34",
"D)4/45",
"E)5/56"
] | A |
aqua_train | aqua_train_35703 | Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary? | [
"A)Rs.7528",
"B)Rs.7500",
"C)Rs.7527",
"D)Rs.7522",
"E)Rs.7572"
] | B |
aqua_train | aqua_train_65482 | A student can select one of 11 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science. | [
"A)22",
"B)72",
"C)199",
"D)237",
"E)264"
] | E |
aqua_train | aqua_train_29744 | The last day of a century cannot be | [
"A)Monday",
"B)Wednesday",
"C)Tuesday",
"D)Friday",
"E)Thursday"
] | C |
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