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<|im_start|>user Ionic compound atoms of various elements gain or lose electrons to? Answer choice: (A) become ions (B) expel ions (C) flatten ions (D) produce ions<|im_end|> <|im_start|>assistant <think> </think> So far we have looked at ionic compounds, in which atoms of various elements gain or lose electrons to p...
5,465
<|im_start|>user Echinoderms are found in many different ocean environments, but most are found where? Answer choice: (A) in tidepools (B) in beaches (C) in reefs (D) in waterfalls<|im_end|> <|im_start|>assistant <think> </think> Echinoderms are found in many different ocean environments, but most are found in reefs....
4,505
<|im_start|>user The circulation for magazine Z in 1971 was 6 times the average (arithmetic mean) yearly circulation for magazine Z for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Z ? Answer Choices: (A) 4/7 (B) 5/7 (C) 3/7 (D) 2/7 (E) 1/7<|im...
47,700
<|im_start|>user A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share. Answer Choices: (A) Rs. 2592 (B) Rs. 2520 (C) Rs. 2880 (D) Rs. 3360 (E) None of these<|im_end|> <|...
59,331
<|im_start|>user The speed at which a man can row a boat in still water is 6.5 kmph. If he rows downstream, where the speed of current is 2.5 kmph, what time will he take to cover 90 metres? Answer Choices: (A) 90 seconds (B) 36seconds (C) 26 seconds (D) 18 seconds (E) 6.5 seconds<|im_end|> <|im_start|>assistant <think...
67,606
<|im_start|>user In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together? Answer Choices: (A) 1880 (B) 2400 (C) 2880 (D) 3424 (E) None<|im_end|> <|im_start|>assistant <think> </think> Solution They have to be arranged in the following way: | L | T | L | T | L | T...
21,479
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways. Inherited traits are passed down through families. Children gain these traits from their paren...
4,111
<|im_start|>user A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Answer Choices: (A) 15 days (B) 14 days (C) 13 days (D) 11 days (E) 10 days<|im_end|> <|im_start|>assistant <think...
23,097
<|im_start|>user A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 10 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot) Answer Choices: (A) 32 (B) 53 (C) 74 (D) 86 (E) 95<|im...
1,370
<|im_start|>user What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ? Answer Choices: (A) 196 (B) 630 (C) 680 (D) 780 (E) 960<|im_end|> <|im_start|>assistant <think> </think> L.C.M. of 12, 18, 21 30 2 | 12 - 18 - 21 - 30 ---------------------------- = 2 x 3 x 2 x 3 x 7 x 5...
32,097
<|im_start|>user In how many ways can five boys and three girls sit in a row such that all girls sit together? Answer Choices: (A) A) 1972 (B) B) 9022 (C) C) 2880 (D) D) 1097 (E) E) 4320<|im_end|> <|im_start|>assistant <think> </think> Treat all girls as one unit. Now there are six students and they can be arranged i...
44,861
<|im_start|>user What is the area of a triangle with the following vertices L(1, 3), M(3, 1), and N(3, 5) ? Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|> <|im_start|>assistant <think> </think> There is a direct formula to calculate the are of a triangle based on coordinates of its vertices and one could use...
50,850
<|im_start|>user If n is a positive integer, which of the following is a possible value of |36 - 5n|? Answer Choices: (A) 7 (B) 14 (C) 12 (D) 15 (E) 20<|im_end|> <|im_start|>assistant <think> </think> When 36>5n, then |36- 5n| = 71- 5n = (36-5n) + 1 = {multiple of 5} + 1 When 36<=5n, then |36- 5n| = -(71- 5n) = (36-7...
40,195
<|im_start|>user Two tains of equal lengths take 10 seconds and 16 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction? Answer Choices: (A) 12 (B) 14 (C) 16 (D) 12.3 (E) 18<|im_end|> <|im_start|>...
28,402
<|im_start|>user Employees of a certain company are each to receive a unique 10-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid c...
34,420
<|im_start|>user A retailer buys a radio for Rs 225. His overhead expenses are Rs 20. He sellis the radio for Rs 300. The profit percent of the retailer is Answer Choices: (A) 22.4% (B) 50% (C) 25% (D) 52% (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Explanation: cost price = (225 + 20) = 245 se...
1,418
<|im_start|>user If you divide 7^777 by 5, which remainder do you get? Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|> <|im_start|>assistant <think> </think> The units digit of 7^1 is 7. The units digit of 7^2 is 9. The units digit of 7^3 is 3. The units digit of 7^4 is 1. The units digit of 7^5 is 7. etc... ...
88,276
<|im_start|>user If 4a = 5b = 30, then 40ab = Answer Choices: (A) 900 (B) 1800 (C) 2250 (D) 1650 (E) 1250<|im_end|> <|im_start|>assistant <think> </think> 4a * 5b = 30 * 30 = 900 20 ab = 900 i.e. 30 ab = 1800 The answer is B<|endoftext|>
54,632
<|im_start|>user Bruce purchased 7kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Answer Choices: (A) A) 985 (B) B) 1050 (C) C) 1055 (D) D) 1065 (E) E) 1075<|im_end|> <|im_start|>assistant <think> </think> Cost of 7 kg grapes = 70 × 7 =...
89,516
<|im_start|>user Due to fall in manpower , the production in a factory decreases by 40%, By what percentage should the working hours be increased to restore the original level of production? Answer Choices: (A) 66 2/3 % (B) 46 1/3 % (C) 25% (D) 40% (E) 33 1/3 %<|im_end|> <|im_start|>assistant <think> </think> 2/3*3/5...
57,275
<|im_start|>user Three numbers are in the ratio 3:5:7. The largest number is 49. What is the difference between smallest and largest number? Answer Choices: (A) 16 (B) 20 (C) 24 (D) 28 (E) 32<|im_end|> <|im_start|>assistant <think> </think> The three numbers are 3x, 5x, and 7x. The largest number is 49 = 7*7, so x = ...
61,890
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Matter is made of tiny particles called atoms. Atoms are always moving. The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun...
163
<|im_start|>user Carolyn bought 15 gumballs, Lew bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought? Answer Choi...
35,049
<|im_start|>user In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ? Answer Choices: (A) 2/3 (B)...
86,011
<|im_start|>user The units digit of (35)^(87) + (93)^(46) is: Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0<|im_end|> <|im_start|>assistant <think> </think> Step 1: (35)^(87) can be broken up into (5)^87 x (7)^87. Each power of 7 ends in a units digit of either a 7,9,3 or 1. Each power of 5 ends in a 5. When you mult...
16,979
<|im_start|>user From the answers select the option that is near to √5? Answer Choices: (A) 2.2 (B) 2.3 (C) 3.0 (D) 3.8 (E) 1.9<|im_end|> <|im_start|>assistant <think> </think> 2.2 is nearly equal to the square root of 5. 2.2*2.2=4.4 2.3*2.3=5.29 Difference 5 - 4.4=0.6 5 - 5.3=0.7 Since 0.6 is lesser among both, 2.2 ...
14,516
<|im_start|>user A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is? Answer Choices: (A) 11 (B) 21 (C) 88 (D) 77 (E) 61<|im_end|> <|im_start|>as...
51,043
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order. To put words in alphabetical order, put...
5,710
<|im_start|>user What is the ratio Q of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? Answer Choices: (A) 1/4 (B) 3/8 (C) 1/2 (D) 3/5 (E) 2<|im_end|> <|im_start|>assistant <think> </think> Let X be the side of the cube....
59,942
<|im_start|>user What type of energy is required in all chemical reactions? Answer choice: (A) conduction (B) function (C) solar (D) activation<|im_end|> <|im_start|>assistant <think> </think> All chemical reactions require activation energy, which is the energy needed to get a reaction started. The answer is D<|endo...
6,123
<|im_start|>user A trader sells 66 meters of cloth for Rs. 660 at the profit of Rs. 5 per metre of cloth. What is the cost price of one metre of cloth? Answer Choices: (A) 26 (B) 88 (C) 90 (D) 42 (E) 5<|im_end|> <|im_start|>assistant <think> </think> SP of 1m of cloth = 660/66 = Rs. 10 CP of 1m of cloth = SP of 1m of...
23,582
<|im_start|>user A Cone, a Heme sphere and a Cylinder have equal bases and heights. What is the ratio of their volumes. Answer Choices: (A) 1:2:3 (B) 1:2:4 (C) 3:2:3 (D) 4:2:3 (E) 1:4:3<|im_end|> <|im_start|>assistant <think> </think> Volume of cone=(1/3)*pi*r^2*h Volume of hemisphere=(2/3)*pi*r^3 Volume of cylinder=...
84,408
<|im_start|>user If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 7-letter code words to the number of 4-letter code words? Answer Choices: (A) 80 (B) 90 (C) 100 (D) 110 (E) 120<|im_end|> <|im_start|>assistant...
26,136
<|im_start|>user A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? Answer Choices: (A) 76 years (B) 88 years (C) 55 years (D) 10 years (E) 15 years<|im_end|> <|im_start|>assistant <think> </think> Let C's age be x years. Then, B's age = 2x years. A'...
18,679
<|im_start|>user X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first? Answer Choices: (A) X (B) Y (C) Z (D) N (E) V<|im_end|> <|im_start|>assistant <think> </think> Whole work will be done by X in 10*4 = 40 days. Whole work will be d...
48,088
<|im_start|>user The cost of 12 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg? Answer Choices: (A) Rs 52.50 (B) Rs 56 (C) Rs 58.50 (D) Rs 70 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Explanation : Let the required cost be ...
46,786
<|im_start|>user In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Answer Choices: (A) 60% (B) 70% (C) 80% (D) 90% (E) 100%<|im_end|> <|im_start|>assistant <think> </think> Let C.P....
46,684
<|im_start|>user The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price? Answer Choices: (A) 102% (B) 105% (C) 120% (D) 135% (E) 140%<|im_end|> <|im_start|>assist...
26,568
<|im_start|>user 12, 34, 10, 11, 12, 5, 6 ,7, 13, 14, ?, ? Logically, what two numbers should replace the question marks? Answer Choices: (A) 13 and 11 (B) 15 and 11 (C) 19 and 11 (D) 18 and 11 (E) 17 and 11<|im_end|> <|im_start|>assistant <think> </think> B 15 and 11 1 + 2 + 3 + 4 = 10, then insert next two numbers ...
80,584
<|im_start|>user If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is? Answer Choices: (A) Rs. 850 (B) Rs. 900 (C) Rs. 800 (D) Rs. 910 (E) Rs. 1000<|im_end|> <|im_start|>assistant <think> </think> Sol We have, A : Rs.1U2D Let the pr xnpal be R5 x Then mterest...
27,391
<|im_start|>user Which of the following is closest to 1/7+1/77+1/777 Answer Choices: (A) 1/5 (B) 1/4.5 (C) 1/6 (D) 1/9 (E) 1/6.4<|im_end|> <|im_start|>assistant <think> </think> 1/7+1/77+1/777=0.1428571+0.0129870+0.001287=0.1571311=1/6.4 The answer is E<|endoftext|>
43,118
<|im_start|>user The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat? Answer Choices: (A) 22 (B) 88 (C) 38 (D) 99 (E) 11<|im_end|> <|im_start|>assistant <think> </think> The ...
55,783
<|im_start|>user The difference between a number and its two-fifth is 510. What is 12% of that number? Answer Choices: (A) 58 (B) 110 (C) 76 (D) 102 (E) 86<|im_end|> <|im_start|>assistant <think> </think> Let the number be x. Then, x - 2/5 x = 510 x = (510 * 5)/3 = 850 12% of 850 = 102. The answer is D<|endoftext|>
4,312
<|im_start|>user A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is? Answer Choices: (A) 32 (B) 45 (C) 40 (D) 66 (E) 09<|im_end|> <|im_start|>assistant <think> </think> S = (110 + 280 /38 = 390/38 * 18/5 = 40 The answer is C<|endoftext|>
86,485
<|im_start|>user A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.8.40 less, he would have gained 30%. Find the cost of the article. Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|im_end|> <|im_start|>assistant <think> </think> Let C.P=100 Gain=25% S.P=125 Supposed C....
26,887
<|im_start|>user There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Answer Choices: (A) Rs. 34 (B) Rs. 39 (C) Rs. 42 (D) Rs. 48 (E) Rs. 49<|im_end|> ...
35,901
<|im_start|>user A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in? Answer Choices: (A) 76 days (B) 68 days (C) 24 days (D) 97 days (E) 17 days<|im_end|> <|im_start|>assistant <think> </think> B = 1/8 – 1/2 = 1/24 => 24 days The answer ...
8,132
<|im_start|>user Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 1 hours? Answer Choices: (A) 60X/Y. (B) 120X/Y. (C) 60Y/X. (D) 120Y/X. (E) (X + Y) /60.<|im_end|> <|im_start|>assistant <think> </think> Kramer can pack X boxes per min....
76,391
<|im_start|>user At a particular pizza shop, a pizza can be created from any combination of 2 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 t...
60,169
<|im_start|>user A man sitting in a train which is traveling at 40 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.? Answer Choices: (A) 50 kmph (B) 58 kmph (C) 62 kmph (D) 65 kmph (E) 72 kmph<|im_end|> <|im_start|>assistan...
86,232
<|im_start|>user (12345679 x 72) = ? Answer Choices: (A) 88888888 (B) 888888888 (C) 898989898 (D) 9999999998 (E) None<|im_end|> <|im_start|>assistant <think> </think> Explanation: 12345679 x 72 = 12345679 x (70 +2) = 12345679 x 70 + 12345679 x 2 = 864197530 + 24691358 = 888888888 The answer is B<|endoftext|>
86,145
<|im_start|>user What is the lowest energy state of the atom called? Answer choice: (A) ground state (B) work state (C) active state (D) base state<|im_end|> <|im_start|>assistant <think> </think> The electrons in an atom tend to be arranged in such a way that the energy of the atom is as low as possible. The ground ...
1,690
<|im_start|>user There are 5 married couples and a group of three is to be formed out of them; how many arrangements are there if a husband and wife may not be in the same group? Answer Choices: (A) 70 (B) 75 (C) 80 (D) 85 (E) 90<|im_end|> <|im_start|>assistant <think> </think> Total ways of selecting 3 people out of...
87,705
<|im_start|>user Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 50% of Rebecca and Jimmy's combined income? Answer Choices: (A) 7000 (B) 6000 (C) 5000 (D) 4000 (E) 3000<|im_end|> <|im_start|>assistant <think> </think> t...
8,722
<|im_start|>user What unit of power is equal to 1 joule of energy per second? Answer choice: (A) hertz (B) byte (C) volt (D) watt<|im_end|> <|im_start|>assistant <think> </think> The rate at which a device changes electric current to another form of energy is called electric power . The SI unit for power—including el...
6,918
<|im_start|>user What is term for the smallest particle of an element that still has the properties of said element? Answer choice: (A) proton (B) atom (C) nucleus (D) molecule<|im_end|> <|im_start|>assistant <think> </think> Atoms are the building blocks of matter. They are the smallest particles of an element that ...
3,349
<|im_start|>user Nitin ranks 12th in a class of 56 students. What is rank from the last ? Answer Choices: (A) 33 (B) 38 (C) 45 (D) 28 (E) 19<|im_end|> <|im_start|>assistant <think> </think> Explanation: Number students behind the nitin in rank = (56 - 12) = 44 Nitin is 45th from the last The answer is C<|endoftext|>
36,475
<|im_start|>user Pipe A can fill a tank in 10 hours, pipe B in 20 hours, and pipe C in 60 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|> <|im_start|>assistant <think> </think> The part filled by A + B + C in 1 hour is 1/10 + 1/20 +...
44,450
<|im_start|>user Mario and Nina each have a bag of marbles, each of which contains 12 blue marbles, 10 red marbles, and 18 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble? Answer Choices: (A) 3/4 (B) 2/4 (C) 1/4 (D...
61,241
<|im_start|>user The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what are their speeds? Answer Choices: (A) 33 (B) 45 (C) 37 (D) 36 (E) 19<|im_end|> <...
88,821
<|im_start|>user Two vehicles each 900 m long are running in opposite directions on parallel paths. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choices: (A) 77 sec (B) 66 sec (C) 48 sec (D) 81 sec (E) 45 sec<|im_end|> <|im_sta...
82,564
<|im_start|>user If T persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job? Answer Choices: (A) z (B) x (C) x/y (D) z/x (E) y/z<|im_end|> <|im_start|>assistant <think> </think> the Q doesn't seem to be having the any correct answer as a choice.. since we are looking f...
60,671
<|im_start|>user If the tens digit of positive integer x is 2 and the tens digit of positive integer y is 2, how many possible values of the tens digit of 2(x+y) can there be? Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|> <|im_start|>assistant <think> </think> We only need to consider the tens and ones digi...
42,514
<|im_start|>user A bus takes 4 hours to cover a distance of 480 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time? Answer Choices: (A) 50 Kmph (B) 90 Kmph (C) 95.9 Kmph (D) 95.4 Kmph (E) 90.5 Kmph<|im_end|> <|im_start|>assistant <think> </think> Time = 4 Dis...
69,902
<|im_start|>user If n = 30! + 27, then n is divisible by which of the following? I. 25 II. 27 III. 29 Answer Choices: (A) None (B) I only (C) II only (D) I and II (E) II and III<|im_end|> <|im_start|>assistant <think> </think> 27 divides 30! so 27 also divides 30! + 27. 25 and 29 divide 30! so they do not divide 30! ...
83,792
<|im_start|>user In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: Answer Choices: (A) 1 hour (B) 2 hours (C) 3 hours (D) 4 hours (E) 5 hours<|im_end|> <|im_start|>...
2,573
<|im_start|>user When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 40% water? Answer Choices: (A) 1.2 kg (B) 1.5 kg (C) 1.7 kg...
603
<|im_start|>user Use the following context to help answer a multiple choice question. Context: Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways. Inherited traits are passed down through families. Children gain these traits from their paren...
5,179
<|im_start|>user A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work? Answer Choices: (A) 6 days (B) 2 days (C) 8 days (D) 3 days (E) 9 days<|im_end|> <|im_start|>assistant <think> </think> Work done by A in 2 ...
56,085
<|im_start|>user Zaya purchase 13 jars in a store then she returned 10 jars to store .Now how many jars she had? Answer Choices: (A) A) 5 (B) B) 11 (C) C) 19 (D) D) 3 (E) E) 4<|im_end|> <|im_start|>assistant <think> </think> 13-10=3. The answer is D<|endoftext|>
30,759
<|im_start|>user Find the number of different prime factors of 1250 Answer Choices: (A) 4 (B) 2 (C) 3 (D) 5 (E) 6<|im_end|> <|im_start|>assistant <think> </think> Explanation: L.C.M of 1250 = 2 x 5 x 5 x 5 x 5 2, 5 Number of different prime factors is 2. The answer is B<|endoftext|>
39,789
<|im_start|>user A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and B together can do it in 2 hours. How long will C alone take to do it? Answer Choices: (A) 2hours (B) 5hours (C) 6hours (D) 4hours (E) 3hours<|im_end|> <|im_start|>assistant <think> </think> A's 1 hour work = 1/3; ...
22,994
<|im_start|>user X Y +Y X ________ The sum of the two digit numbers above is a three digit number PQ2, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X? I) 7 II) 8 III) 9 Answer Choices: (A) I only (B) II only (C) III only (D) I , II and III (E) I and ...
90,820
<|im_start|>user If x = |x| , then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0 Answer Choices: (A) None (B) I only (C) III only (D) I and II and III (E) II and III<|im_end|> <|im_start|>assistant <think> </think> Answer copied from NOVA guide Statement I could be true becau...
693
<|im_start|>user There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to? Answer Choices: (A) 4!*2! (B) 7!*2! (C) 6!*1! (D) 2!*1! (E) 5!*1!<|im_end|> <|im_start|>assistant <think> </think> ...
7,105
<|im_start|>user What do we call coiled structures made of dna and proteins? Answer choice: (A) nodes (B) Organisms (C) chromosomes (D) Molecules<|im_end|> <|im_start|>assistant <think> </think> Chromosomes are coiled structures made of DNA and proteins. They form after DNA replicates and are the form in which the ge...
5,372
<|im_start|>user A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Answer Choices: (A) 3.58 (B) 3.68 (C) 3.78 (D) 3.88 (E) 3.98<|im_end|> <|im_start|>assistant <think> </think> M = 8 S = 1.2 DS = 8 + 1.2 = 9.2 US = 8- 1.2...
9,758
<|im_start|>user An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent F of the gasoline...
78,063
<|im_start|>user Bar, circle, and line are all types of what? Answer choice: (A) theories (B) maps (C) graphs (D) algorithms<|im_end|> <|im_start|>assistant <think> </think> Descriptive statistics and graphs help organize data so patterns and trends are more apparent. Descriptive statistics include the mean and range...
7,701
<|im_start|>user Truck X is 14 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 57 miles per hour and Truck Y is traveling at an average speed of 63 miles per hour, how long will it take Truck Y to overtake and drive 4 miles ah...
51,658
<|im_start|>user The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together. Answer Choices: (A) 40 (B) 30 (C) 25 (D) Data inadequate (E) None of these.<|im_end|> <|im_start|...
29,964
<|im_start|>user A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10 Answer Choices: (...
8,196
<|im_start|>user John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is? Answer Choices: (A) 50 (B) 58 (C) 60 (D) 65 (E) 70<|im_end|> <|im_start|>assistant <think> </think> (x+x1+...x14)/15 = 40 50 Option A The answer is A<|endoftext|>
56,664
<|im_start|>user The price of the jewel, passing through three hands, rises on the whole by 68%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller. Answer Choices: (A) 20 (B) 12 (C) 15 (D) 25 (E) 30<|im_end|> <|im_start|>assistant <think> </think>...
79,370
<|im_start|>user A certain country had a total annual expenditure of $1.2x10^12. If the population of the country was 240 million last year, what was the per capita expenditure? Answer Choices: (A) $500 (B) $1000 (C) $2000 (D) $3000 (E) 5000 dollar<|im_end|> <|im_start|>assistant <think> </think> Explanation: In scie...
5,899
<|im_start|>user For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipp...
18,308
<|im_start|>user Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy? Answer Choices: (A) 2 (B) 3 (C) 5 (D) 8 (E) 13<|im_end|> <|im_start|>assistant <think> </think> Let X be the number of c...
42,073
<|im_start|>user The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 6 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assi...
85,134
<|im_start|>user By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Answer Choices: (A) 25% (B) 20% (C) 18% (D) 30% (E) 40%<|im_end|> <|im_start|>assistant <think> </think> SP = CP + g 150 SP = 150 CP + 30 SP 120 SP = 150 CP 120 --- 30 CP 100 --- ? => 25% The answer i...
61,071
<|im_start|>user The average temperature in Lincoln in July is 85 degrees. Last Wednesday, it was 90 degrees. Today it was 15 degrees cooler than last Wednesday. What was the temperature today? Answer Choices: (A) 15 degrees (B) 25 degrees (C) 75 degrees (D) 45 degrees (E) 55 degrees<|im_end|> <|im_start|>assistant <th...
11,380
<|im_start|>user P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choices: (A) 1:5 (B) 1:3 (C) 1:1 (D) 1:2 (E) 1:9...
89,288
<|im_start|>user What is the second stage of photosynthesis? Answer choice: (A) pigment release (B) production of glucose (C) production of protein (D) glucose destruction<|im_end|> <|im_start|>assistant <think> </think> The second stage of photosynthesis is the production of glucose from carbon dioxide. This process...
10,445
<|im_start|>user What is the twenty-eighth decimal to the right in the fraction 32/33? Answer Choices: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8<|im_end|> <|im_start|>assistant <think> </think> 32/33 = 0.96969696969696 The even-numbered decimal places are 6. The answer is D<|endoftext|>
35,945
<|im_start|>user Find the mode of the given set of number 2, 2, 3, 5, 4, 3, 2, 3, 3, 5 Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|> <|im_start|>assistant <think> </think> Arranging the number with same values together, we get 2, 2, 2, 3, 3, 3, 3, 4, 5, 5 We observe that 3 occurs maximum number of times, i....
23,690
<|im_start|>user A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price? Answer Choices: (A) 1000 (B) 2998 (C) 3000 (D) 2788 (E) 2991<|im_end|> <|im_start|>assistant <think> </think> 90% 108% -------- 18% ---- 540 100% ---- ? => Rs.3000 The answer...
95,403
<|im_start|>user The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1000 per sq. metre. Answer Choices: (A) Rs. 15000 (B) Rs. 15550 (C) Rs. 15600 (D) Rs. 20625 (E) None of these<|im_end|> <|im_start|>assistant <think> </think> Solution Area of the floor = ...
45,825
<|im_start|>user A car covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is? Answer Choices: (A) ratio 2:3 (B) ratio 1:5 (C) ratio 1:10 (D) ratio 9:13 (E) ratio 7:15<|im_end|> <|im_start|>assistant <think> </think> Ratio of speeds = (200/60) ...
71,885
<|im_start|>user A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 15 minutes. In how much time will he be able to take all the five tablets? Answer Choices: (A) 1 Hour. (B) 2 Hour. (C) 3 Hour. (D) None (E) Cannot be determined<|im_end|> <|im_start|>assistant <think...
64,034
<|im_start|>user If PENCIL is coded as 45 and TRASH is coded as 36, then MEMORY is coded as Answer Choices: (A) 33 (B) 59 (C) 60 (D) 72 (E) None<|im_end|> <|im_start|>assistant <think> </think> PENCIL= 16+5+14+3+9+12=59 i.e 5*9=45 TRASH= 20+18+1+19+8=66 i.e 6*6=36 MEMORY 13+5+13+15+18+25=89 8*9=72 The answer is D<|en...
2,117
<|im_start|>user Positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. What is the value of y? Answer Choices: (A) 50 (B) 125 (C) 200 (D) 1,000 (E) 2,000<|im_end|> <|im_start|>assistant <think> </think> y = 50% of 25 % 0f x = x/8 and y/100 of x = 100 y /100 *8y =100...
85,065