id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00332384 | The students from the 8 groups of Class 31 donated money to the disaster-stricken areas in Sichuan. On average, each group donated 160 yuan, and the teacher donated 300 yuan. How much did the teachers and students of Class 31 donate in total? | <gadget id="calculator">8 * 160</gadget>
<output>1_280</output>
<gadget id="calculator">1_280 + 300</gadget>
<output>1_580</output>
<result>1_580</result> | 1_580 | calc |
ape210k__00270920 | There are several alcohol solutions with an alcohol content of 36%, which are diluted with a certain amount of water to form a solution with an alcohol content of 30%. If it is further diluted to 24%, how many times the amount of water added last time should be added? | <gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">100 * (9/25)</gadget>
<output>36</output>
<gadget id="calculator">24 / 100</gadget>
<output>6/25 = around 0.24</output>
<gadget id="calculator">36 / (6/25)</gadget>
<output>150</output>
<gadget id="calculator">30 /... | 3/2 | calc |
aqua_rat__1MoLrlRgs32D9ePV | A group of 7 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the six other students from the group? Choose the correct choice from the following answers
A) 5.76% B) 4.76% C) 15.75% D) 20.67% E... | The question basically asks about the probability that Bob and Lisa sit at the ends. The total # of sitting arrangements is 7!. Desired arrangement is either BVWXYZL or LVWXYZB. Now, VWXYZ can be arranged in 5! ways, therefore total # of favorable arrangements is 2*5!. P=(favorable)/(total)=(2*5!)/7!=1/21. Answ... | B | calc |
ape210k__00512878 | When calculating 203-101, the calculation becomes 203-100+1, so how much is the difference between the obtained result and the correct result. | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00256016 | A rectangular part is drawn on the drawing according to the scale of 1:50. The length is 15 cm and the width is 8 cm. Find the actual area of this part in square meters. | <gadget id="calculator">1 / 50</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">15 / (1/50) / 100</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">8 / (1/50) / 100</gadget>
<output>4</output>
<gadget id="calculator">(15/2) * 4</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__AkuH6FpjFKwIF0SZ | In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Answers
A) A)60 B) B)70 C) C)90 D) D)120 E) E)30 | 6p2 = 6 × 5 x 4 = 120 Option '120'
<result>D</result> | D | calc |
ape210k__00555287 | The school has a circular flower bed with a diameter of 5 meters. What is the circumference of the flower bed in meters? | <gadget id="calculator">3.14 * 5</gadget>
<output>15.7</output>
<result>15.7</result> | 15.7 | calc |
ape210k__00345814 | A schoolbag is priced at 63 yuan after a 10% discount. What is the original price? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">63 / (9/10)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__00080432 | A book has 80 pages. I read the whole book (1/4) first, and then read 15 pages. How much of the whole book is left. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">15 / 80</gadget>
<output>3/16 = around 0.1875</output>
<gadget id="calculator">1 - (1/4) - (3/16)</gadget>
<output>9/16 = around 0.5625</output>
<result>9/16 = around 0.5625</result> | 9/16 | calc |
ape210k__00392971 | Xiao Ming deposits 2,000 yuan in the bank, deposits and withdraws for two years, and the annual rate of return is 3.75%. When the maturity is due, Xiao Ming can get the total amount of principal and interest. | <gadget id="calculator">3.75 / 100</gadget>
<output>0.0375</output>
<gadget id="calculator">2_000 * 0.0375 * 2</gadget>
<output>150</output>
<gadget id="calculator">2_000 + 150</gadget>
<output>2_150</output>
<result>2_150</result> | 2_150 | calc |
ape210k__01079845 | 25% of a batch of chemical fertilizers were transported away first, and then 18 tons were transported away. At this time, 45% remained unshipped. How many tons of this batch of chemical fertilizers are there? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 - (1/4) - (9/20)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">18 / (3/10)</gadget>
<output>60</output>
<result>6... | 60 | calc |
ape210k__00245893 | A series of numbers arranged regularly: 2, 5, 9, 14, 20, 27, ..., what is the 1995th number in this series of numbers. | <gadget id="calculator">2 + 1_996</gadget>
<output>1_998</output>
<gadget id="calculator">1_995 / 2</gadget>
<output>1_995/2 = around 997.5</output>
<gadget id="calculator">1_998 * (1_995/2)</gadget>
<output>1_993_005</output>
<result>1_993_005</result> | 1_993_005 | calc |
aqua_rat__xagnwCq7l0N1ZJHw | 1100 boys and 700 girls are examined in a test; 31% of the boys and 23% of the girls pass. The percentage of the total who failed is ? Choose the correct choice.
A) A)63.3% B) B)52.4% C) C)81.2% D) D)75.4% E) E)72.11% | Total number of students = 1100+700=
<gadget id="calculator">1100+700</gadget>
<output>1_800</output>
1800 Number of students passed= (31% of 1100+23% of 700) = 341+161=
<gadget id="calculator">341+161</gadget>
<output>502</output>
502 number of failures= 1298*100/1800= 72.11% Answer is 72.11%
<result>E</result... | E | calc |
ape210k__00416464 | The three interior angles of a triangle are all 60°. It is known that the length of one side is 13 cm. What is the perimeter of the triangle in cm? | <gadget id="calculator">13 * 3</gadget>
<output>39</output>
<result>39</result> | 39 | calc |
aqua_rat__la8rv8gcY6StvOuO | A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choose the correct choice from the following answers: A) 3 hrs 45 min B) 3 hrs 15 min C) 4 hrs D) 4 hrs 15 min E) 5 hrs 15 min | time taken by one tap in hr = (4*1/6)=2/3 remaining part = (1-1/2)=1/2 x=3/4 hrs => 3hrs 45 min 3 hrs 45 minNSWER 3 hrs 45 min
<result>A</result> | A | calc |
aqua_rat__eMtBB2ESLDJH0jKD | A train 130 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choose the correct choice from the following answers.
A) 4 B) 7 C) 5 D) 9 E) 8 | Speed of train relative to man = (60 + 6) km/hr = 66 km/hr [66 * 5/18] m/sec = [55/3] m/sec. Time taken to pass the man = [130* 3/55] sec = 7 sec ANSWER:7
<result>B</result> | B | calc |
aqua_rat__j68LG9GktssiMquY | A man can row a boat at 13 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 33 km downstream? Choose the correct choice from the following answers:
A) 11/3 B) 11/4 C) 11/5 D) 11/6 E) 11/7 | Speed downstream = 13+5=
<gadget id="calculator">13+5</gadget>
<output>18</output>
18 kmph. Time required to cover 60 km downstream= d/s = 33/18=11/6 hours. Answer:11/6
<result>D</result> | D | calc |
math_qa__862NTr6l5F8g1sv8 | The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 78 kmph, find the speed of the stream? Choose the correct choice from the following choices.
A) 15 B) 19 C) 14 D) 18 E) 26 | <gadget id="calculator">78 * 2</gadget>
<output>156</output>
<gadget id="calculator">156 / 3</gadget>
<output>52</output>
<gadget id="calculator">78 - 52</gadget>
<output>26</output>
<result>E</result> | E | calc |
aqua_rat__rjClVC7RYotEGvjD | The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $50 less. What was the total cost cost of the vacation? Choose the correct choice from the following answers:
A) $200
B) $375
C) $400
D) $500
E) $600 | C for cost. P price per person. C= 3*P C=5*P-250 Substituting the value of P from the first equation onto the second we get P = 125. Plugging in the value of P in the first equation, we get C= 375. Which leads us to answer choice $375
<result>B</result> | B | calc |
ape210k__00133557 | The side length of a cube is 9 decimeters, what is the sum of its side lengths? | <gadget id="calculator">9 * 12</gadget>
<output>108</output>
<result>108</result> | 108 | calc |
ape210k__00540598 | Master Wang processed a batch of parts, 20 per hour on the first day, and 30 per hour on the second day. The same amount was processed in the two days. It took 13.5 hours. How many parts are there in this batch? | <gadget id="calculator">405 / 50</gadget>
<output>81/10 = around 8.1</output>
<gadget id="calculator">20 * (81/10)</gadget>
<output>162</output>
<gadget id="calculator">13.5 - (81/10)</gadget>
<output>5.4</output>
<gadget id="calculator">30 * 5.4</gadget>
<output>162</output>
<gadget id="calculator">162 + 162</gadg... | 324 | calc |
aqua_rat__eQHw32OU7LiglBt9 | The C.P of 15 books is equal to the S.P of 22 books. Find his gain% or loss%? Options
A) 16 2/3%
B) 31 9/11%
C) 16 2/5%
D) 16 2/1%
E) 16 1/3% | 15 CP = 22 SP 22 --- 7 CP loss 100 --- ? => 31 9/11% loss.Answer: 31 9/11%
<result>B</result> | B | calc |
ape210k__00034405 | There are 10 chess players in a single round-robin match (that is, every two players play one game), and it is stipulated that 2 points are awarded for a win, 1 point for a tie, and 0 points for a loss. After the game, it is found that the scores of each player are different, and the score of the second place is the su... | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">20 * (4/5)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00589680 | Uncle Li planned to complete the work in 10 hours, but actually completed it in 8 hours, so how much his uncle's work efficiency has improved | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) - (1/10)</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/40) / (1/10)</gadget>
<output>1/4 = around 0.25</output... | 1/4 | calc |
math_qa__oYVt4Jtdq9jqu8g7 | If the sum of a number and its square is 342, What is the number? Choose the correct choice.
A) 16
B) 77
C) 25
D) 87
E) 18 | <gadget id="calculator">342 ** (1/2)</gadget>
<output>3*sqrt(38) = around 18.493242</output>
<gadget id="calculator">floor(3*sqrt(38))</gadget>
<output>18</output>
<result>E</result> | E | calc |
ape210k__00324349 | Xiao Ming spent a total of 12.8 yuan on a math book and a Chinese book. A Chinese book is 6.48 yuan, how much is a math book? | <gadget id="calculator">12.8 - 6.48</gadget>
<output>6.32</output>
<result>6.32</result> | 6.32 | calc |
aqua_rat__JtuWS1N4oNAXKptL | What is the distance from (–7, 2) to (5, –3)?
Choose the correct answer.
A) 10 B) 11 C) 12 D) 13 E) 14 | solutions Suppose we made a right triangle, as in the example above. The difference in the x-coordinates is (–7) – 5 = –12, so the horizontal leg would have a length of 12 (length has to be positive). The difference in the y-coordinates is 2 – (–3) = 5, so this is the length of the vertical leg. We recognize that we ... | D | calc |
ape210k__00418650 | Distribute some apples to A, B, and C according to the method of 5:3:2, and the apples distributed by C account for ((())/(())) of the total number of shares. | <gadget id="calculator">5 + 3 + 2</gadget>
<output>10</output>
<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00460185 | Grandma Li’s family planted 35 hectares of cherry trees last year, with an average harvest of 680 kilograms of cherries per hectare. How many kilograms of cherries can they harvest in total? | <gadget id="calculator">680 * 35</gadget>
<output>23_800</output>
<result>23_800</result> | 23_800 | calc |
aqua_rat__EzN2qT9fbMIfxqWx | Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary. Choose the correct answer:
A) 32000 B) 34000 C) 38000 D) 40000 E) None of these | Explanation: Let the original Salaries of Ravi and Sumit is 2x and 3x. So as per question 2x+4000/3x+4000=40/57 =>57(2x+4000)=40(3x+4000) =>6x=68000 =>3x=34000 Sumit Salary =3x+4000 34000+4000=
<gadget id="calculator">34000+4000</gadget>
<output>38_000</output>
38000 Option 38000
<result>C</... | C | calc |
ape210k__00518575 | The school awarded a scholarship of 1,000 yuan to Xiaoqiu, Xiaohua, and Xiaoqian. The ratio of the scholarships Xiaoqiu and Xiaohua received was 3:2, and Xiaoqian got 20 yuan more than Xiaohua. How much scholarship did Xiaoqiu get? | <gadget id="calculator">1_000 - 20</gadget>
<output>980</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 + 1 + (3/2)</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">980 / (7/2)</gadget>
<output>280</output>
<gadget id="calculator">2 * 280... | 420 | calc |
ape210k__00971043 | There is a barrel of oil, 30% of the full barrel is poured out for the first time, and 2 kg more than the first time is poured out for the second time, and there is still 6 kg in the barrel. How many kilograms of oil is in the barrel? | <gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10) - (3/10)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__JSrCWlRDDK3wziQ4 | If [Z] denotes the least integer greater than or equal to Z and [Z] = 0, which of the following statements must be true?
Pick one: A) Z = 0 B) 0 <= Z < 1 C) 0 < Z <= 1 D) -1 <= Z < 0 E) -1 < Z <= 0 | The answer for this is 0 < = Z < = 1 However it is not available in the options. The match to the above is-1 < Z <= 0 Answer = -1 < Z <= 0
<result>E</result> | E | calc |
ape210k__00380860 | Xiaohong arrives at school at 7:24 every day. She starts walking from home at 7:15, and walks 65 meters per minute. How many meters is the distance between Xiaohong's home and school? | <gadget id="calculator">9 * 65</gadget>
<output>585</output>
<result>585</result> | 585 | calc |
aqua_rat__ib4dBH51kfhenhQI | If the sum of a number and its square is 182, what is the number? Choose the correct choice from the following answers
A) 15 B) 26 C) 28 D) 91 E) none of these | Let the number be x. Then, x + x2 = 182 (x + 14)(x - 13) = 0 x = 13 ANSWnone of theseR:none of these
<result>E</result> | E | calc |
ape210k__00035558 | The fifth grade in a certain school held a quick calculation competition. There were 1000 questions in total. Student A could calculate 30 questions per minute. Student B took 3 seconds less to calculate 50 questions than Student A did with the same number of questions. Student B was asked to complete 1000 questions Ho... | <gadget id="calculator">1_000 / 50</gadget>
<output>20</output>
<gadget id="calculator">50 / 30</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(5/3) - (1/20)</gadget>
<output>97/60 = around 1.616667</output>
<gadget... | 30 | calc |
aqua_rat__mfrkssW7lS3Vjpta | A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent? Choose the correct option:
A) 22%
B) 25%
C) 77%
D) 99%
E) 11.6% | 896 --- 104 100 --- ? => 11.6% Answer: 11.6%
<result>E</result> | E | calc |
ape210k__00121112 | There are 10 questions in a math competition, 10 points are awarded for each correct answer, 2 points will be deducted for each wrong answer, Xiao Ming scored 76 points, how many questions did Xiao Ming get right. | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 - 76</gadget>
<output>24</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">24 / 12</gadget>
<output>2</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<result>8</r... | 8 | calc |
ape210k__00537430 | There are 21 poplar trees in the campus, which are pine trees (3/4), and pagoda trees are pine trees (4/7). How many locust trees are there on campus? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">21 / (3/4)</gadget>
<output>28</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">28 * (4/7)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00551449 | A square swimming pool, its side length is 9 meters, Xiao Ming ran around the swimming pool twice, how many meters did he run in total? | <gadget id="calculator">9 * 4 * 2</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00186863 | For a fraction in its simplest form, the sum of the numerator and denominator is 10. what is the true score | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<result>3/7 = around 0.428571</result> | 3/7 | calc |
ape210k__01134131 | Xiao Ming's family has 192 goats, including 16 black goats and the rest are white goats. How many times more white goats are there than black goats? | <gadget id="calculator">192 - 16</gadget>
<output>176</output>
<gadget id="calculator">176 / 16</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00242529 | A batch of books is distributed to a certain class of students, and each person gets 12 books on average. If it is only distributed to girls in this class, each person can get 30 books on average. If it is only distributed to boys in this class, how many books per person can get on average. | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/12) - (1/30)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / (1/20)</gadget>
<output>20</output>
<result... | 20 | calc |
math_qa__neK9GCSVZSbEDXei | Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Choose the correct choice from the following choices
A) 10 am B) 12 noon C) 10... | <gadget id="calculator">200 + 25</gadget>
<output>225</output>
<gadget id="calculator">20 + 25</gadget>
<output>45</output>
<gadget id="calculator">225 / 45</gadget>
<output>5</output>
<gadget id="calculator">5 + 7</gadget>
<output>12</output>
<result>B</result> | B | calc |
ape210k__00864693 | To build a road, the full length (1/3) was built on the first day, and 310 meters on the second day. At this time, the ratio of the number of meters already repaired to the remaining meters is 2:3. How long is this road in meters? | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(2/5) - (1/3)</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculat... | 4_650 | calc |
aqua_rat__ctPRsoNG5SMNnIq6 | Which of the following is closest to (8!-7!)/(8!+7!)? Options
A) 0.01 B) 0.8 C) 0.2 D) 1 E) 10 | (8!-7!)/(8!+7!) 7! (8-1)/7! (8+1) 7/9 = 0.8 (approximately) 0.8 is the answer
<result>B</result> | B | calc |
ape210k__00416371 | The fruit shop sells a box of apples for 58 yuan, and a box of bananas for 42 yuan. The school cafeteria buys 16 boxes of apples and bananas each. How much did you spend in total? | <gadget id="calculator">42 + 58</gadget>
<output>100</output>
<gadget id="calculator">100 * 16</gadget>
<output>1_600</output>
<result>1_600</result> | 1_600 | calc |
ape210k__00920641 | The school has to paint the classrooms. It is known that the length of the classroom is 8 meters, the width is 5 meters, the height is 3 meters, and the area of doors and windows is 10.5 square meters. If the paint fee is 5 yuan per square meter, how much will it cost to paint this classroom? | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">24 + 15</gadget>
<output>39</output>
<gadget id="calculator">39 * 2</gadget>
<output>78</output>
<gadget id="calcu... | 537.5 | calc |
ape210k__00833563 | There are 50 kilograms of brine with a salt content of 10%, and its mass fraction should be increased to 20%. How many kilograms of salt need to be added? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">50 * (9/10)</gadget>
<output>45</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calcula... | 25/4 | calc |
ape210k__00039031 | Which of the following scores is closest to 1? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</outpu... | 6/7 | calc |
aqua_rat__06gDmEpfKPyRXxNG | A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choose the correct choice from the following answers:
A) Rs.250 B) Rs.90 C) Rs.50 D) Rs.150 E) Rs.70 | A+B+C = 400 A+C = 200 B+C = 350 -------------- A+B+2C = 550 A+B+C = 400 ---------------- C = 150 ANSWER:Rs.150
<result>D</result> | D | calc |
ape210k__00280024 | The 4 students in the dormitory originally planned to buy a computer together, and everyone shared the cost equally. Later, 2 students from the next dormitory also joined in to buy together, and the price of the computer was reduced by 1,000 yuan due to the promotion, so each person will pay 824 yuan less than the orig... | <gadget id="calculator">1_000 / 6</gadget>
<output>500/3 = around 166.666667</output>
<gadget id="calculator">824 + (500/3)</gadget>
<output>2_972/3 = around 990.666667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadge... | 10_888 | calc |
mawps__7khUJHKXdiZq7TpJ | Austin had 185 Doll. Sarah took 77 from him. Now How many Doll Austin have difference? | <gadget id="calculator">185 - 77</gadget>
<output>108</output>
<result>108</result> | 108 | calc |
ape210k__00370405 | A cylinder with a surface area of 50 square centimeters has a base area of 15 square centimeters. If two such cylinders are put together to form a large cylinder, what is the surface area of the large cylinder in square centimeters? | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">50 - 30</gadget>
<output>20</output>
<gadget id="calculator">50 + 20</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__00367462 | A steel factory produced 580 tons of steel in April and 456 tons of steel in May, sold 730 tons, how many tons are left unsold. | <gadget id="calculator">580 + 456</gadget>
<output>1_036</output>
<gadget id="calculator">1_036 - 730</gadget>
<output>306</output>
<result>306</result> | 306 | calc |
ape210k__00485232 | A water conservancy project actually used 12 million yuan, which was 20% less than the plan. How much was the savings compared to the plan? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1_200 / (4/5)</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 - 1_200</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00550193 | To make a cylindrical iron bucket without a cover, the circumference of the bottom surface is 18.84 decimeters, and the height is 8 decimeters. How many square decimeters of iron sheet is needed at least? | <gadget id="calculator">18.84 * 8</gadget>
<output>150.72</output>
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget id="calculator">150.72 + 28.26</gadget>
<output>... | 178.98 | calc |
math_qa__iJftt51vt7WSuvFV | If the sum of two numbers is 22 and the sum of their squares is 460, then the product of the numbers is Choose the correct choice from the following options:
A) 40 B) 44 C) 12 D) 88 E) 48 | <gadget id="calculator">22 ** 2</gadget>
<output>484</output>
<gadget id="calculator">484 - 460</gadget>
<output>24</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<result>C</result> | C | calc |
ape210k__00495948 | There are 65 fifth-grade students and 55 fourth-grade students in a certain school, and the number of sixth-grade students is exactly the sum of the number of fourth-grade and fifth-grade students (1/2). How many sixth-grade students are there in this school? | <gadget id="calculator">65 + 45</gadget>
<output>110</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">110 * (1/2)</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__01157051 | A wire is 20 meters long, after subtracting 80% of the total length, how many meters are left? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">20 * (1/5)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00647033 | Divide a 3-meter-long rope into 10 sections on average, each section is ((())/(())) of this rope, and how many meters is each section long. | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / (1/10) / 1</gadget>
<output>10</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<result>3/10 = around 0.3</result> | 3/10 | calc |
math_qa__ICfKLbnQP1E3foAs | How many seconds will it take for a car that is traveling at a constant rate of 90 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards) Select the correct option
A) 0.8 B) 0.5 C) 1.0 D) 1.1 E) 1.2 | <gadget id="calculator">90 / 3_600</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">90 + 90</gadget>
<output>180</output>
<gadget id="calculator">180 - 4</gadget>
<output>176</output>
<gadget id="calculator">176 * 10</gadget>
<output>1_760</output>
<gadget id="calculator">(1/40) * 1_760</gadget... | B | calc |
ape210k__00299767 | Xinhua Bookstore recently sold 560 story books (1/4) on the first day and 20% on the second day. How many books are left unsold? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/4) - (1/5)</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">560 * (11/20)</gadget>
<output>308</output>
<result>30... | 308 | calc |
aqua_rat__W4bqFWEBlnoeCD3q | A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 3
matches are totally played, how many teams participated? Choose the correct choice from the following answers
A) 4
B) 5
C) 6
D) 7
E) 3 | 2 ways to solve this problem.. summation(x)=n(n-1)/2 n(n-1)/2=3; n^2-n-6=0 Ans : 3 ANSW3R:3
<result>E</result> | E | calc |
ape210k__01179459 | A vegetable field (6/9) is planted with cabbage, and the remaining (3/9) is planted with radishes, how much less radish is planted than cabbage? | <gadget id="calculator">6 / 9</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(2/3) - (1/3)</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00401208 | A piece of iron wire is 12m long, and (4/5) is used up. How much less is the remaining meter than the used one? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">12 * (4/5)</gadget>
<output>48/5 = around 9.6</output>
<gadget id="calculator">12 - (48/5)</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">(48/5) - (12/5)</gadget>
<output>36/5 = around 7.2</output>
... | 36/5 | calc |
aqua_rat__t0CEdJ5Fq7XSb8P1 | Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point E at the same time, how long, in hours, after the trains depart will they again meet at Poi... | I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer. My solution is as follows, and I ask anyone to correct me if I am wrong. Solution 1 Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X dA = X dB = 12*3.14 - X... | B | calc |
ape210k__01217029 | Dad's height is 1.8m, Xiao Ming's height is father's (5/6), what is Xiao Ming's height? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1.8 * (5/6)</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
ape210k__00112067 | The clock knocks 3 times at 3 o'clock, and it takes 6 seconds to knock it out; then it knocks 7 times at 7 o'clock, how many seconds it takes to knock it out. | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">3 * 6</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__h2jbj8KjvXgWR3fl | In the new budget the price of milk rose by 20%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Options:
A) 7.5% B) 9.1% C) 10.9% D) 16.67% E) 15% | Reduce in consumption = R/(100+R) *100% = 20/120 *100 = 16.67% Answer is 16.67%
<result>D</result> | D | calc |
ape210k__00185380 | The numerator of an improper fraction is 19. After converting it into a mixed fraction, the integer part, numerator, and denominator are three consecutive natural numbers. Find this improper fraction. | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">15 + 4</gadget>
<output>19</output>
<gadget id="calculator">19 / 5</gadget>
<output>19/5 = around 3.8</output>
<result>19/5 = around 3.8</result> | 19/5 | calc |
ape210k__00102006 | Master Wang processed a batch of parts. On the first day, he processed (1/5), and on the second day, he processed 30 more. At this time, the ratio of the number of processed parts to the number of unprocessed parts is 2:3. How many parts are there in total? ? | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(2/5) - (1/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">30 / (1... | 150 | calc |
ape210k__00520024 | my country's personal income tax law stipulates that the part of the personal monthly income exceeding 2,000 yuan should pay that personal income tax, and the excess part: the part within 500 yuan (including 500 yuan) should be paid at 5%, and the part between 500 yuan and 1500 yuan (including 1500 yuan) %) is paid at ... | <gadget id="calculator">2_350 - 2_000</gadget>
<output>350</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">350 * (1/20)</gadget>
<output>35/2 = around 17.5</output>
<result>35/2 = around 17.5</result> | 35/2 | calc |
ape210k__00461512 | If two people meet each other, they should shake hands once. According to this rule, how many times will 5 people shake hands in total when they meet each other? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">4 * (5/2)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00130715 | Cut a 7-meter-long iron wire into 6 sections on average, how many meters is each section, and 2 sections are 7 meters ((())/(())). | <gadget id="calculator">7 / 6</gadget>
<output>7/6 = around 1.166667</output>
<result>7/6 = around 1.166667</result> | 7/6 | calc |
aqua_rat__RvVMjVFQ53nnW5xq | On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of poin... | The area of the triangle formed will be: 1/2 * base * height = 1/2 * |(X-coordinate of point C)| * |(Y-coordinate of point C)| = 20 Thus |product of coordinates of point C| = 40 The answer is (-2, -20).
<result>D</result> | D | calc |
math_qa__cZWwdOIAPLQguasd | A trader sells 80 meters of cloth for Rs. 6900 at the profit of Rs. 20 per metre of cloth. What is the cost price of one metre of cloth?
Choose the correct choice from the following answers: A) 22 B) 75 C) 90 D) 78 E) 66 | <gadget id="calculator">6_900 / 80</gadget>
<output>345/4 = around 86.25</output>
<gadget id="calculator">(345/4) - 20</gadget>
<output>265/4 = around 66.25</output>
<result>E</result> | E | calc |
ape210k__00453535 | To make the quotient of □943/58 have two digits, what is the maximum number that can be filled in □. | <result>4</result> | 4 | calc |
aqua_rat__pFZ4WoSJYtWZQhD2 | Which of the following is equal to 3.14 x 106 ? Select the correct option
A) 314
B) 3140
C) 3140000
D) 31400000
E) none of the above | 3.14 x 10^6 = 3.14 x 1000000 = 3140000. Answer = 3140000
<result>C</result> | C | calc |
ape210k__00042018 | A furniture factory wants to produce a batch of sofas, 64 sets are produced in the first week, 86 sets are produced in the second week, and (3/10) of the total number of sofas are produced in two weeks. How many sets of sofas will the furniture factory produce? | <gadget id="calculator">64 + 86</gadget>
<output>150</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">150 / (3/10)</gadget>
<output>500</output>
<gadget id="calculator">500 - 150</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
ape210k__00370388 | Processing a batch of parts, the master can complete it in 8 hours alone, the apprentice can complete it in 10 hours alone, and the master and apprentice can work together in 2.5 hours, how much is left unfinished? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) + (1/10)</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">(9/40) * 2.5</gadget>
<output>0.5625</output>
<gadget id=... | 0.4375 | calc |
ape210k__00251419 | In a day, the average person lives and sleeps at a ratio of 2:1. According to this, how many hours of sleep time is generally. | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">24 * (1/3)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00415623 | The sum of the upper and lower bases of a trapezoid is 16 cm and the height is 7 cm. What is the area of the trapezoid in square centimeters? | <gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">16 * (7/2)</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00239447 | If the surface area of a cuboid is 162 square centimeters, how many square centimeters will the surface area increase when it is equally divided into four cubes? | <gadget id="calculator">162 / 18</gadget>
<output>9</output>
<gadget id="calculator">9 * 6</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00235857 | Divide 6 students equally into two groups, how many ways can A and B belong to two different groups? | <gadget id="calculator">2 * 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00180826 | 2&3=2+3+4=9, 5&4=5+6+7+8=26. According to this rule, 5&5=how much. | <gadget id="calculator">5 + 6 + 7 + 8 + 9 + 10</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01200705 | How much more is 5 times 2.8 than 3 2.5? | <gadget id="calculator">2.8 * 5</gadget>
<output>14</output>
<gadget id="calculator">2.5 * 3</gadget>
<output>7.5</output>
<gadget id="calculator">14 - 7.5</gadget>
<output>6.5</output>
<result>6.5</result> | 6.5 | calc |
ape210k__00049974 | The road construction team builds a road. The full length (2/5) was repaired on the first day, (3/4) kilometers were repaired on the second day, and there are 3 kilometers left. How long is this road in kilometers? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) + 3</gadget>
<output>15/4 = around 3.75</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="c... | 25/4 | calc |
aqua_rat__3pgB7k10G0JLIFOi | What is the smallest prime number?
Choose the correct choice from the following choices
A) 0 B) 1 C) 2 D) 3 E) 4 | Explanation : smallest prime number is 2. 0 and 1 are neither prime numbers nor composite numbers. Answer : Option 2
<result>C</result> | C | calc |
ape210k__00629583 | On a map with a scale of 1:6000000, the distance between A and B is 28 cm. A plane flies from A to B at 8:50 am and arrives at 10:50 am. How many kilometers does it fly per hour? | <gadget id="calculator">1 / 6_000_000</gadget>
<output>1/6_000_000 = around 0</output>
<gadget id="calculator">28 / (1/6_000_000) / 100_000 / 2</gadget>
<output>840</output>
<result>840</result> | 840 | calc |
ape210k__00446648 | A car delivers goods from city A to city B. When driving the whole journey (5/13), the car still has 45 kilometers to reach the midpoint of the two places. How many kilometers is the distance between A and B? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 / 13</gadget>
<output>5/13 = around 0.384615</output>
<gadget id="calculator">(1/2) - (5/13)</gadget>
<output>3/26 = around 0.115385</output>
<gadget id="calculator">45 / (3/26)</gadget>
<output>390</output>
<result>3... | 390 | calc |
ape210k__00255375 | Mingming read an extra-curricular book. He read 12 pages on the first day, then read 6 more pages every day than the previous day, and read 48 pages on the last day. How many days did he read in total? | <gadget id="calculator">48 - 12</gadget>
<output>36</output>
<gadget id="calculator">36 / 6</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__01003487 | There are 60 students in Class 1 and Class 2 of the fourth grade. The average donation for the Indonesian tsunami in Class 1 is 15.2 yuan, and the average donation for the Indonesian tsunami in Class 2 is 14.8 yuan. How much did the two classes donate in total? | <gadget id="calculator">60 * 15.2</gadget>
<output>912</output>
<gadget id="calculator">60 * 14.8</gadget>
<output>888</output>
<gadget id="calculator">912 + 888</gadget>
<output>1_800</output>
<result>1_800</result> | 1_800 | calc |
ape210k__00137035 | Toffee is 14 yuan per kilogram, fruit bran is 10 yuan per kilogram, and halva is 12 yuan per kilogram. Now mix 3 kilograms of toffee, 3 kilograms of fruit sugar and 4 kilograms of halva to make assorted candies. How much is the assorted candies per kilogram? | <gadget id="calculator">14 * 3</gadget>
<output>42</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">42 + 30 + 48</gadget>
<output>120</output>
<gadget id="calculator">3 + 3 + 4</gadget>
<output>10</output>
<gadg... | 12 | calc |
aqua_rat__ut4neZmsqHR0zA3g | A welder received an order to make a 1 million liter cube-shaped tank. If he has only 5x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters) Select the correct option
A) 92
B) 60
C) 82
D) 78
E) 75 | The question say:A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters) In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters. A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters)... | B | calc |
ape210k__00428469 | A pen is 3.5 yuan, how many such pens can be bought for 21 yuan. | <gadget id="calculator">21 / 3.5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00043516 | The distance between the left and right wheels of the racing car is 1.5 meters. When the racing car runs around a circular track with a radius of 10 meters, how many π meters does the outer wheel travel than the inner wheel? | <gadget id="calculator">23 - 20</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00393931 | The width of a rectangle is 4 cm and the length is 3 times the width, what is the area of the rectangle in cm | <gadget id="calculator">4 * 3 * 4</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00211195 | A piece of wood is cut into equal wood sections, a total of 5 cuts, how much is each piece of wood | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<result>1/6 = around 0.166667</result> | 1/6 | calc |
aqua_rat__6X4ZiNHPytG9KkX7 | Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts
Answers.
A) 24 B) 48 C) 72 D) 96 E) 120 | Total # of ways to distribute SSEGT among 5 sisters (without restriction) is 5!2!=605!2!=60; The # of ways when the youngest niece gets G is: 4!2!=124!2!=12 (give G to youngest and then distribute SSET among 4 sisters). So, # of ways when youngest niece doesn't get G is: 60−12=4860−12=48. Answer: 48. ANSWER:48
... | B | calc |
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