Split (1)

train · 116k rows

text stringlengths 148 4.25k	__index_level_0__ int64 0 97.5k
<\|im_start\|>user The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H? Answer Choices: (A) 3 (B) 8 (C) 5 (D) 6 (E) 4<\|im_end\|> <\|im_start\|>assistant <think> </think> If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields s...	77,707
<\|im_start\|>user A can work four times as fast as B. Together they can finish a job in 12 days. In how many days can A complete the job alone? Answer Choices: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18<\|im_end\|> <\|im_start\|>assistant <think> </think> B's rate is x and A's rate is 4x. x + 4x = 1/12 x = 1/60 A's rate is 4x = 1...	43,624
<\|im_start\|>user Tough and Tricky questions: Number Properties. What is the smallest positive integer x such that 320x is the cube of a positive integer? Answer Choices: (A) 2 (B) 3 (C) 5 (D) 15 (E) 25<\|im_end\|> <\|im_start\|>assistant <think> </think> We want to know the smallest x that will make 320x a CUBE of some n...	91,398
<\|im_start\|>user If PINTU is coded as 79523 in a certain code language, how would you code DUMBO in the same language? Answer Choices: (A) 43426 (B) 14236 (C) 13436 (D) 14263 (E) 15263<\|im_end\|> <\|im_start\|>assistant <think> </think> 1 2 3 4 5 6 7 8 9 a b c d e f g h i j k l m n o p q r s t u v w x y z sooo...DUMBO i...	23,941
<\|im_start\|>user What is defined as force per unit area? Answer choice: (A) pressure (B) energy (C) resistance (D) momentum<\|im_end\|> <\|im_start\|>assistant <think> </think> Pressure is defined as force per unit area, . The answer is A<\|endoftext\|>	4,113
<\|im_start\|>user Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively. Answer Choices: (A) 121 (B) 124 (C) 127 (D) 122 (E) 129<\|im_end\|> <\|im_start\|>assistant <think> </think> Required number = H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 _______ 1651 ) 2032...	55,201
<\|im_start\|>user A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 8 books for a total of $38.00, and on Tuesday the store sold 20 maps and 12 books for a total of $60.00. At this store, how much less does a map sell for than a book? Answer Choices: (A) $0...	67,827
<\|im_start\|>user Fred purchased an item for $15.00. Fred sees the same item a week later on sale for $12.00. What percentage has the item been marked down from what Fred paid? Answer Choices: (A) 3 (B) 5 (C) 15 (D) 20 (E) 30<\|im_end\|> <\|im_start\|>assistant <think> </think> F.P.=15 S.P.=12 markdown is (1-(S.P./R.P.))*...	33,243
<\|im_start\|>user A(7, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 + 15. What is the value of w? Answer Choices: (A) 3. (B) 4. (C) 5. (D) 6. (E) 9.<\|im_end\|> <\|im_start\|>assistant <think> </think> y=x^2 +15 w^3=7^2+15 w^3=64 W=4 The answer is B<\|endoftext\|>	2,814
<\|im_start\|>user A restaurant meal cost $37.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between Answer Choices: (A) $40 and $42 (B) $42 and $44 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37<\|im_end\|> <\|im...	14,986
<\|im_start\|>user Find the number of ways a batsman can score a double century only in terms of 4's & 6's? Assume the batsman scored x 4's and y 6's. Answer Choices: (A) 22 (B) 16 (C) 77 (D) 91 (E) 13<\|im_end\|> <\|im_start\|>assistant <think> </think> 4x + 6y = 200 ⇒2x+3y=100⇒2x+3y=100 ⇒x=100−3y2=50−32y⇒x=100−3y2=50−32y...	65,491
<\|im_start\|>user If a boat goes 6 km upstream in 30 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is Answer Choices: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Rate upstream = (6/30)*60 kmh ...	81,886
<\|im_start\|>user A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 500 that is both a prime and a palindrome. What is the sum of the digits of p? Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<\|im_end\|> <\|im_start\|>assis...	19,931
<\|im_start\|>user What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1. Answer Choices: (A) I and II (B) II and III (C) I and III only (D) All (E...	41,957
<\|im_start\|>user An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 4 businessmen, how many possible team submissions are...	66,788
<\|im_start\|>user 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 Answer Choices: (A) 9 (B) 10 (C) 15 (D) 18 (E) 17<\|im_end\|> <\|im_start\|>assistant <think> </think> The only possible sum for 4 different squa...	60,216
<\|im_start\|>user Let y = 2m + x^2 and m = 5x + 3. If m^2 =64, then which of the following can be a value of 2y + 3m? Answer Choices: (A) 68 (B) 58 (C) 78 (D) 88 (E) 98<\|im_end\|> <\|im_start\|>assistant <think> </think> m^2 = 64 => m=8 8= 5x+3 => x=1 y= 28+1^2 = 17 2y+3m = 217+3*8 = 58 The answer is B<\|endoftext\|>	88,762
<\|im_start\|>user Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expr...	48,627
<\|im_start\|>user A box contains 15 items. Six of the items are Pen, five are pencil, and five are eraser. If two items are randomly selected from the box, one after the other, what is the probability that both will be pen? Answer Choices: (A) 1/11 (B) 1/9 (C) 1/3 (D) 1/7 (E) 8/9<\|im_end\|> <\|im_start\|>assistant <think> ...	78,715
<\|im_start\|>user In a question on division with zero remainder, a candidate took 22 as divisor instead of 11. The quotient obtained by him was 35. The correct quotient is? Answer Choices: (A) A) 70 (B) B) 24 (C) C) 28 (D) D) 29 (E) E) 30<\|im_end\|> <\|im_start\|>assistant <think> </think> Number = (35 * 22) = 770 Correc...	30,344
<\|im_start\|>user What is the place value of 7 in the numeral 2734? Answer Choices: (A) 450 (B) 460 (C) 480 (D) 500 (E) 700<\|im_end\|> <\|im_start\|>assistant <think> </think> Option 'E' 7 * 100 = 700 The answer is E<\|endoftext\|>	7,997
<\|im_start\|>user A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400? Answer Choices: (A) 2998 (B) 1900 ...	64,557
<\|im_start\|>user If −y ≥ x, and −x < −8, then which of the following must be true? Answer Choices: (A) y = −8 (B) y > −8 (C) −y > 8 (D) y ≤ −8 (E) y ≥ −8<\|im_end\|> <\|im_start\|>assistant <think> </think> −y ≥ x, and −x < −8 y <= -x < -8 As '-x' is less than '-8' and Y is less than or equal to '-x' we have y < -8 which...	94,052
<\|im_start\|>user What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 2 children contains exactly 1 woman? Answer Choices: (A) 77/204 (B) 56/195 (C) 11/77 (D) 308/1411 (E) 22/832<\|im_end\|> <\|im_start\|>assistant <think> </think> Total possible selections = 4...	56,188
<\|im_start\|>user The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages? Answer Choices: (A) 7 (B) 6 (C) 9 (D) 2 (E) 5<\|im_end\|> <\|im_start\|>assistant <think> </think> Let the present ages of Giri and Hari be 5x and 8x ye...	89,242
<\|im_start\|>user A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms? Answer Choices: (A) 4 hours (B) 6 hours (C) 7.5 hours (D) 8...	55,543
<\|im_start\|>user Average of five numbers is 30 . If one number is excluded the average becomes 26. The excluded number is Answer Choices: (A) 35 (B) 45 (C) 55 (D) 46 (E) 67<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Number is (530) - (426) = 150-104 = 46 The answer is D<\|endoftext\|>	77,223
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: Minerals are the building blocks of rocks. A rock can be made of one or more minerals. Minerals and rocks have the following properties: Property \| Mineral \| Rock It is a solid. \| Yes \| Yes It is formed in nature. \| Yes \| Ye...	3,757
<\|im_start\|>user The enzyme pepsin plays an important role in the digestion of proteins by breaking down intact protein to what short-chain amino acids? Answer choice: (A) peptides (B) protons (C) proteins (D) lipids<\|im_end\|> <\|im_start\|>assistant <think> </think> Protein A large part of protein digestion takes plac...	11,674
<\|im_start\|>user What type of cells are the smallest of all human cells? Answer choice: (A) egg (B) dna (C) sperm (D) meristematic<\|im_end\|> <\|im_start\|>assistant <think> </think> Sperm are tiny cells. In fact, they are the smallest of all human cells. They have a structure that suits them well to perform their funct...	6,550
<\|im_start\|>user For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) +2, then p is? Answer Choices: (A) between 2 and 20 (B) between 10 and 20 (C) between 20 and 30 (D) between 30 and 40 (E) 2<\|im_...	17,385
<\|im_start\|>user What are small organelles and are the site of protein synthesis called. Answer choice: (A) ribosomes (B) chromosomes (C) chloroplasts (D) chromosomes<\|im_end\|> <\|im_start\|>assistant <think> </think> Ribosomes are small organelles and are the site of protein synthesis. They are found in all cells. The...	8,343
<\|im_start\|>user A present value of a machine is $900. Its value depletiation rate is 25% per annum then find the machine value before 2 years? Answer Choices: (A) $1500 (B) $1200 (C) $1600 (D) $1000 (E) $1350<\|im_end\|> <\|im_start\|>assistant <think> </think> P= $900 R = 25% T = 2 years Machine value before 2 years = ...	64,978
<\|im_start\|>user The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour? Answer Choices: (A) 60 (B) 61.2 (C) 3240 (D) 3,600 (E) 3,672<\|im_end\|> <\|im_start\|>assistant <think> </think> moon revolves around the earth at a speed of ...	77,436
<\|im_start\|>user The cost of 3 pens and 5 pencils is Rs.240. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens? Answer Choices: (A) Rs.200 (B) Rs.720 (C) Rs.300 (D) Rs.150 (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let ...	37,255
<\|im_start\|>user In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is Answer Choices: (A) 5200 (B) 5226 (C) 5286 (D) 5330 (E) 5336<\|im_end\|> <\|im_start\|>assistant <think> </think> Divisor = (5 * 46) = 230 = 10 * Quotient = Divisor => Quotient =...	91,424
<\|im_start\|>user If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be: Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<\|im_end\|> <\|im_start\|>assistant <think> </think> B 2 Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3. x = ...	38,851
<\|im_start\|>user Two cars, Car1 and Car2 move towards each other from W and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach W starting from Y? Answer Choices: (A) 15.5 sec (B) 8.4 sec (C) 33.6 sec (D) 31.11 sec (E) 1...	957
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal...	6,443
<\|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...	4,156
<\|im_start\|>user A Cistern is filled by pipe A in 6 hrs and the full Cistern can be leaked out by an exhaust pipe B in 10 hrs. If both the pipes are opened in what time the Cistern is full? Answer Choices: (A) 15 hrs (B) 16 hrs (C) 17 hrs (D) 14 hrs (E) 18 hrs<\|im_end\|> <\|im_start\|>assistant <think> </think> Pipe A c...	59,813
<\|im_start\|>user In how many different ways can 2 girls and 2 boys form a circle such that the boys and the girls alternate? Answer Choices: (A) 8 (B) 1 (C) 7 (D) 5 (E) 2<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation : In a circle, 2 boys can be arranged in 2! ways Given that the boys and the girls alt...	1,945
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent. When Lisa and Kim finally landed, she breathed a sigh of relief. Th...	4,035
<\|im_start\|>user The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January? Answer Choices: (A) 299 (B) 2889 (C) 4500 (D) 2728 (...	51,146
<\|im_start\|>user The value of ((x – y)³ + (y - z)³ + (z – x)³)/(12 (x – y) (y – z) (z – x)) is equal to : Answer Choices: (A) 0 (B) 1/12 (C) 1 (D) 1/4 (E) 1/3<\|im_end\|> <\|im_start\|>assistant <think> </think> Since (x – y) + (y – z) + (z – x) = 0, so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x). (3 (x – y...	5,746
<\|im_start\|>user The ozone layer protects the earth from what? Answer choice: (A) uv radiation (B) pollution (C) light waves (D) radio waves<\|im_end\|> <\|im_start\|>assistant <think> </think> Plants maintain the atmosphere. They produce oxygen and absorb carbon dioxide during photosynthesis. Oxygen is essential for cel...	10,263
<\|im_start\|>user Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin? Answer Choices: (A) 23 (B) 23.5 (C) 24 (D) 24.5 (E) 25<\|im_end\|> <\|im_start\|>assistant <think> </think> Let the present ages of sachin and rahul be 7x and 9x sachin is younger than rahul in...	17,769
<\|im_start\|>user Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996? Answer Choices: (A) $112...	17,372
<\|im_start\|>user Platelets play a role in what cascade of reactions that converts plasma fibrinogen to fibrin? Answer choice: (A) hemophilia (B) sickle cell anemia (C) blood clotting (D) bleeding<\|im_end\|> <\|im_start\|>assistant <think> </think> The answer is C<\|endoftext\|>	9,664
<\|im_start\|>user If P represents the product of the first 18 positive integers, then P is NOT a multiple of Answer Choices: (A) 99 (B) 84 (C) 72 (D) 65 (E) 95<\|im_end\|> <\|im_start\|>assistant <think> </think> Answer is E. Since prime factor of 95 is 5x19. 19 is a prime number and not part of the first 18 positive inte...	57,873
<\|im_start\|>user Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years? Answer Choices: (A) 1059 (B) 1028 (C) 1052 (D) 1028 (E) 1012<\|im_end\|> <\|im_start\|>assistant <think> </think> S.I. = (956 - 800) = Rs. 156. Rate = (100 * 156) /...	1,931
<\|im_start\|>user Solve the equation for x : 6x - 87 + 3x = 4 + 9 - x Answer Choices: (A) 12 (B) 5 (C) 10 (D) 9 (E) 3<\|im_end\|> <\|im_start\|>assistant <think> </think> C 10 9 x + x = 13 + 87 10 x = 100 => x = 10 The answer is C<\|endoftext\|>	90,883
<\|im_start\|>user Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper? Answer Choices: (A) A) 1040 (B) B) 1045 (C) C) 1055 (D) D) 1060 (E) E) 1235<\|im_end\|> <\|im_start\|>assistant <think> </think> Cost of 8 kg apples= 70 × 8 = 5...	73,031
<\|im_start\|>user The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Answer Choices: (A) 58 (B) 56 (C) 51 (D) 52 (E) 59<\|im_end\|> <\|im_start\|>assistant <think> </think> 1 to 11 = 11 * 50 = 550 1 to 6 = 6 * 49 = 294 6 to 11 = 6 * 52 = 312 6t...	39,517
<\|im_start\|>user A large research project was scheduled over the course of a 30-month period, and a budget of $84,000 was allotted for the course of the entire project. After seven months, the project had spent $19,800. Was the project at this point over budget or under budget, and by how much? Answer Choices: (A) unde...	25,869
<\|im_start\|>user If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest value of n? Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<\|im_end\|> <\|im_start\|>assistant <think> </think> =10∗9∗8∗7∗6∗5!−2∗5!∗5∗4∗3∗2∗1 =5!∗10∗3∗8(125) =5∗(2∗2)∗3∗2∗(5∗2)∗24∗5∗5∗5 =5∗2∗5∗2∗5∗2∗5∗2∗24∗5∗3 =10^4∗2^4∗5∗3 =10^4∗5∗2∗12∗3 =10^5∗...	32,664
<\|im_start\|>user Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 7 hrs. The number of hours that pat, a resident of town X, watched television last wee...	25,246
<\|im_start\|>user There are two tanks A & B with same capacity of 20 litres. If the water inflow rate (speed) in Tank A is 2 litres per hour & in Tank B is 4 litres per hour. How much longer tank A takes to fill than Tank B? Answer Choices: (A) 4 hours (B) 5 hours (C) 3 hours (D) 2 hours (E) 1 hour<\|im_end\|> <\|im_start\|...	65,801
<\|im_start\|>user How many integers are divisible by 2 between 10! and 10! + 20 inclusive? Answer Choices: (A) 6 (B) 7 (C) 21 (D) 9 (E) 10<\|im_end\|> <\|im_start\|>assistant <think> </think> C = 21 10! is divisible by 2 There are 20 numbers between 10! and 10!+20 that are divisible by 1. Hence 21 The answer is C<\|endofte...	6,071
<\|im_start\|>user If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 204? Answer Choices: (A) 34 (B) 17 (C) 48 (D) 51 (E) 102<\|im_end\|> <\|im_start\|>assistant <think> </think> The g...	37,755
<\|im_start\|>user On dividing a number by 357, we get 38 as remainder.On dividing the same number by 17, what will be the remainder ? Answer Choices: (A) 4 (B) 5 (C) 8 (D) 7 (E) 2<\|im_end\|> <\|im_start\|>assistant <think> </think> Let x be the number and y be the quotient.Then, x=357y+38 =(1721y)+(172)+4 =17*(21y+2)...	58,217
<\|im_start\|>user What is the decimal equivalent of (1/4)^1? Answer Choices: (A) 0.0016 (B) 0.0625 (C) 0.16 (D) 0.25 (E) 0.5<\|im_end\|> <\|im_start\|>assistant <think> </think> (1/4)= 0.25 The answer is D<\|endoftext\|>	43,144
<\|im_start\|>user A part-time employee’s hourly wage was increased by 40%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased? Answer Choices: (A) 9% (B) 15% (C) 29% (D) 50% (E) 100%<\|im_end\|> <...	744
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: In a title, capitalize the first word, the last word, and every important word in between. The Wind in the Willows James and the Giant Peach These words are not important in titles: Articles, a, an, the Short prepositions, s...	1,564
<\|im_start\|>user A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin. Answer Choices: (A) 70 cm² (B) 80 cm² (C) 90 cm² (D) 95 cm² (E) 98 cm²<\|im_end\|> <\|im_start\|>assistant <think> </think> Length of the cardboard ...	37,263
<\|im_start\|>user The brain develops from this early tube structure and gives rise to specific regions of the adult brain. as the neural tube grows and differentiates, it enlarges into three vesicles that correspond to the forebrain, midbrain, and this? Answer choice: (A) anteriorbrain (B) rearbrain (C) hindbrain (D) as...	8,675
<\|im_start\|>user The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream? Answer Choices: (A) 60 km (B) 85 km (C) 70 km (D) 80 km (E) 90 km<\|im_end\|> <\|im_start\|>...	4,752
<\|im_start\|>user The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is? Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<\|im_end\|> <\|im_start\|>assistant <think> </think> P(1 + 20/100)n > 2P or (6/5)n > 2 Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years. The answer i...	10,853
<\|im_start\|>user How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 2 m x 3 m x 2 cm? Answer Choices: (A) 5600 (B) 6000 (C) 73 (D) 7200 (E) 8600<\|im_end\|> <\|im_start\|>assistant <think> </think> Number of bricks =Volume of the wall/Volume of 1 brick = (200 x 300 x 2)/(25 x 11 x 6) ...	59,133
<\|im_start\|>user 4 dice are thrown simultaneously on the board. Find the probability which show the same face? Answer Choices: (A) 2/113 (B) 3/117 (C) 1/216 (D) 3/111 (E) 4/121<\|im_end\|> <\|im_start\|>assistant <think> </think> The total number of elementary events associated to the random experiments of throwing four ...	16,676
<\|im_start\|>user Out of 7 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed? Answer Choices: (A) 25900 (B) 151200 (C) 210 (D) 120 (E) 720<\|im_end\|> <\|im_start\|>assistant <think> </think> Required selection = select 4 consonants from 7 and 2 vowels frm 4 = 7C4 * 4C2 = 210 As we have to...	23,115
<\|im_start\|>user What is the greatest prime factor of 1+2+3+。。。+52? Answer Choices: (A) 53 (B) 29 (C) 31 (D) 37 (E) 41<\|im_end\|> <\|im_start\|>assistant <think> </think> find the sum from direct formula = n(n+1)/2 = 52(52+1)/2 = 26*53... 53 is a PRIME number, so ans is 53.. A is The answer is A<\|endoftext\|>	37,904
<\|im_start\|>user Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the game remainder in each case. Then sum of the digits in N is : Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9<\|im_end\|> <\|im_start\|>assistant <think> </think> Solution N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1...	60,242
<\|im_start\|>user A 120 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train? Answer Choices: (A) 229 (B) 108 (C) 278 (D) 72 (E) 112<\|im_end\|> <\|im_start\|>assistant <think> </think> S = 120/6 * 18/5 = 72 kmph The answer is D<\|endoftext\|>	28,496
<\|im_start\|>user A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, A receives : Answer Choices: (A) 14700 (B) 24703 (C) 29400 (D) 33777 (E) 34778<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let C = x. Then,...	62,465
<\|im_start\|>user A and B can do a work in 6 days.They both started the work and after three days A left the work.B finished the remaining work in 15 days.In how many days will A finish the work? Answer Choices: (A) 7 days (B) 7.5 days (C) 8.5 days (D) 9.5 days (E) 6.5 days<\|im_end\|> <\|im_start\|>assistant <think> </thi...	7,285
<\|im_start\|>user Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 45 miles per hour. How many miles from the station was train A overtaken by train B? Answer Choices: (A) 100 (B) 120 (C) 140 (D) 160 (E) 180<\|im_end\|> <\|im_start...	2,419
<\|im_start\|>user How many revolutions will a circular wheel make to travel a distance of 3 km, given that the radius is 2.4 m? Answer Choices: (A) 11085.7 (B) 15085.7 (C) 35085.7 (D) 15015.7 (E) 15083.7<\|im_end\|> <\|im_start\|>assistant <think> </think> 2 * 22/7 * 2.4 * x = 15085.7 x = 1000 The answer is A<\|endoftext\|>	75,222
<\|im_start\|>user Jim takes a seconds to swim t meters at a constant rate from point M to point N in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point M the same time that Roger leaves point N, how many fewer meters will Jim have swum than Roger when t...	4,414
<\|im_start\|>user If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years lat...	48,935
<\|im_start\|>user Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is? Answer Choices: (A) 4:6 (B) 4:3 (C) 4:9 (D) 4:7 (E) 4:4<\|im_end\|> <\|im_start\|>assist...	52,179
<\|im_start\|>user Use the following context to help answer a multiple choice question. Context: When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent. When Lisa and Kim finally landed, she breathed a sigh of relief. Th...	3,138
<\|im_start\|>user The average of four consecutive odd numbers is 24. Find the largest number. Answer Choices: (A) 25 (B) 27 (C) 29 (D) 31 (E) 32<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: Let the numbers are x, x+2, x+4, x+6, then =>x+(x+2)+(x+4)+(x+6)4=24 =>4x+12)4=24 =>x+3=24=>x=21 So largest numb...	35,671
<\|im_start\|>user In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (6,6) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A. Answer Choices: (A) (-2,6) (B) (0,4) (C) (2,-6...	35,699
<\|im_start\|>user The three classes of elements are metals, nonmetals, and what? Answer choice: (A) metalloids (B) ionic compounds (C) molecules (D) atoms<\|im_end\|> <\|im_start\|>assistant <think> </think> Metals are elements that can conduct electricity. They are one of three classes of elements (the other two classes ...	8,983
<\|im_start\|>user A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took? Answer Choices: (A) Rs.5500/- (B) Rs.6000/- (C) Rs.4000/- (D) Rs.7000/- (E) Rs.8000/-<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanation: 2 years...	73,742
<\|im_start\|>user In how many ways letters of the word CORPORATION be arranged? Answer Choices: (A) 125879 (B) 3326400 (C) 369 (D) 1698 (E) 8723<\|im_end\|> <\|im_start\|>assistant <think> </think> CORPORATION has 11 letters, out of which O repeated 3 times, R repeated 2 times. Hence total ways = 11! / (3!*2!) = 3326400 w...	26,281
<\|im_start\|>user If 15% of 30% of 50% of a number is 90, then what is the number? Answer Choices: (A) 4000 (B) 3050 (C) 4400 (D) 4500 (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Let the number be a Given, 15/100 * 30/100 * 50/100 * a = 90 => 3/20 * 3/10 * 1/2 * a = 90 => a = 10 * 20 * 10 * 2 = ...	92,907
<\|im_start\|>user What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2. Answer Choices: (A) 35 (B) 66 (C) 77 (D) 88 (E) 99<\|im_end\|> <\|im_start\|>assistant <think> </think> The answer is A<\|endoftext\|>	52,004
<\|im_start\|>user A person covers a distance in 12 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes. Answer Choices: (A) 8 m/s (B) 4 m/s (C) 15 m/s (D) 10 m/s (E) 5 m/s<\|im_end\|> <\|im_start\|>assistant <think> </think> Explanatio...	13,782
<\|im_start\|>user An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.50 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? Answer Choices: (A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E)...	55,515
<\|im_start\|>user What is the value of 4^5+4^4? Answer Choices: (A) 4^12 (B) 5(4^4) (C) 17(4^5) (D) 8^12 (E) 7(4^5) <\|im_end\|> <\|im_start\|>assistant <think> </think> 4^5+4^4 =4^4(4+1) =4^4 * 5 The answer is B<\|endoftext\|>	96,878
<\|im_start\|>user If 213 × 16 = 3408, then 1.6 × 21.3 is equal to : Answer Choices: (A) 0.3408 (B) 3.408 (C) 34.08 (D) 340.8 (E) None of these<\|im_end\|> <\|im_start\|>assistant <think> </think> Solution 1.6 × 21.3 = (16/10x 213/10)= (16x 213/100) = 3408/100 = 34.08. The answer is C<\|endoftext\|>	24,639
<\|im_start\|>user This year, MBB Consulting fired 10% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary poo...	59,895
<\|im_start\|>user The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 3 type B widgets, and the weight of 5 type B widgets is equal to the weight of 7 type C widgets. W...	7,360
<\|im_start\|>user Sutures, gomphoses, and syndesmoses are types of what, which are found where adjacent bones are strongly united by connective tissue? Answer choice: (A) cartilage (B) metallic joints (C) ligaments (D) fibrous joints<\|im_end\|> <\|im_start\|>assistant <think> </think> 9.2 Fibrous Joints Fibrous joints ar...	6,120
<\|im_start\|>user In a garden, there are 12 rows and 14 columns of mango trees. The distance between two trees is 2metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is Answer Choices: (A) 20m (B) 22m (C) 24m (D) 26m (E) 28m<\|im_end\|> <\|im_start\|>assistant <...	70,889
<\|im_start\|>user Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car. Answer Choices: (A) 900 (B) 950 (C) 960 (D) 1000 (E) 930<\|im_end\|> <\|im_start\|>assistant <think> </think> 60(x + 1) = 64x X = 15 6...	25,475
<\|im_start\|>user The table below shows the enrollment in various classes at a certain college. Class \| Number of Students Biology \| 70 Physics \| 35 Calculus \| 40 Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are en...	68,988
<\|im_start\|>user What mammalian feature serves functions such as filtration and keeping the body warm? Answer choice: (A) shivering (B) sensory organs (C) sweat (D) hair<\|im_end\|> <\|im_start\|>assistant <think> </think> Hair serves many functions such as acting as a filter and keeping the body warm. The answer is D<\|e...	5,168

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