id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00526635 | There are two bamboo poles with a length of 35 cm and 28 cm respectively. If they are sawed into sections of the same length and there are no remaining sections, what is the longest section in centimeters? | <result>7</result> | 7 | calc |
aqua_rat__qmMaB0KbpCu3gwYu | Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 8200, then what will be the share of Sameer in the profit? Choose one: A) s.2323 B) s.2380 C) s.2800 D) s.2329 E) s.2312 | Kamal : Sameer = (9000 * 12) : (8000 * 7) = 108:56 = 27:14 Sameer's share = 8200 * 14/41 = Rs.2800. Answer: s.2800
<result>C</result> | C | calc |
ape210k__00560234 | Use a cylindrical container to hold water, the height of the water is 30cm, pour all the water into a conical container with the same bottom, what is the height of the water in cm? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__vM3DOU0fA4u47ptM | If you add all the numbers on your mobile phone , what is the answer? Answers.
A) 45 B) 50 C) 55 D) 100 E) 60 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">1 + 9</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 9</gadget>
<output>45</output>
<result>A</result> | A | calc |
aqua_rat__qqYw2eTkoQjAKzoI | A tradesman by means of his false balance defrauds to the extent of 1%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct choice from the following.
A) 2% B) 77% C) 44% D) 16% E) 47% | g% = 1 + 1 + (1*1)/100 = 2% 2%nswer: 2%
<result>A</result> | A | calc |
ape210k__00677995 | The area of a sector is 942 square centimeters, and the area of its circle is 5652 square centimeters. What is the central angle of this sector? | <gadget id="calculator">942 / 5_652</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">360 * (1/6)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00036524 | 7.52*125+4.45*12.5+3.5*1.25=how much. | <gadget id="calculator">7.52 * 125</gadget>
<output>940</output>
<gadget id="calculator">4.45 * 12.5</gadget>
<output>55.625</output>
<gadget id="calculator">3.5 * 1.25</gadget>
<output>4.375</output>
<gadget id="calculator">940 + 55.625 + 4.375</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00631501 | There are 120 apple trees in the orchard, and the number of pear trees is 3/4 of the number of apple trees. How many pear trees are there in the orchard? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 * (3/4)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00558275 | The actual distance between A and B is 900km, and the actual distance between A and C is 780km. Draw them on the same map, if the straight-line distance on the map between A and B is 15cm, then what is the straight-line distance on the map between A and C? | <gadget id="calculator">900 * 100_000</gadget>
<output>90_000_000</output>
<gadget id="calculator">15 / 90_000_000</gadget>
<output>1/6_000_000 = around 0</output>
<gadget id="calculator">780 * 100_000 * (1/6_000_000)</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
math_qa__MvFwXaQqYCt5pfk4 | John has Rs 360 for his expenses. If he exceeds his days by 4 days he must cut down daily expenses by Rs 3. The number of days of John 's tour program is Choose the correct choice from the following answers:
A) 10 B) 15 C) 20 D) 24 E) 27 | <gadget id="calculator">360 * 4</gadget>
<output>1_440</output>
<gadget id="calculator">1_440 * 4</gadget>
<output>5_760</output>
<gadget id="calculator">5_760 * 3</gadget>
<output>17_280</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output... | C | calc |
aqua_rat__kPDmbgh61ojMkeD6 | A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Pick:
A) 10 days B) 12 days C) 15 days D) 20 days E) 25 days | A's 2 day's work = 1 x 2 = 1 . 20 10 (A + B + C)'s 1 day's work = 1 + 1 + 1 = 6 = 1 . 20 30 60 60 10 Work done in 3 days = 1 + 1 = 1 . 10 10 5 Now, 1 work is done in 3 days. 5 Whole work will be done in (3 x 5) = 15 days. Option 15 days
<result>C</result> | C | calc |
aqua_rat__8Fft6h3JZtA9iehd | The greatest number by which the product of four consecutive multiples of 3 is always divisible is Answers
A) 54 B) 76 C) 152 D) 162 E) None of these | Solution Required number = Product of first three multiplies of 3 = (3 × 6 × 9x12)= 1944. Answer None of these
<result>E</result> | E | calc |
ape210k__00779167 | A cube frame with edge length 12dm can be transformed into a largest cuboid with length 1.6m, width 9dm, and height in dm? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">1.6 * 10</gadget>
<output>16</output>
<gadget id="calculator">36 - 16 - 9</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00300834 | The greening team has 25 boys and 20 girls. What percentage of the class are boys? | <gadget id="calculator">25 + 20</gadget>
<output>45</output>
<gadget id="calculator">25 / 45</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | calc |
ape210k__01027101 | There are 227 catties of apples, oranges and pears in total. After selling one-fourth of the apples, one-fifth of the oranges, and one-sixth of the pears, the weight of the remaining three fruits is the same. Ask how many catties the apple weighs ? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="ca... | 80 | calc |
aqua_rat__YPEEws211wjdxpAa | An amount of Rs.2,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P? Choices: A) 2378 B) 268 C) 269 D) 500 E) 6971 | Explanation: We have, P = 2Q & S = 4R Further Q = R & P + Q + R + S = 2,000 Thus we get, 2Q + Q + Q + 4Q = 2,000 8Q = 2,000 or Q = Rs. 250 Thus, R = Rs. 250, P = 500 & S = Rs. 1000 Hence, the required difference = (S – P) = (1000 – 500) = Rs. 500 ANSWER:500
<result>D</result> | D | calc |
ape210k__01147953 | The construction team has a batch of cement, and when 30% of this batch of cement is used up, there are 560 tons left. How many tons of this batch of cement was used? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">560 / (7/10)</gadget>
<output>800</output>
<gadget id="calculator">800 - 560</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__00528166 | This year's "3•12" Arbor Day, Class 1 of June participated in the tree planting activity, but 4 trees failed to survive. It is known that the survival rate of these trees is 95%. How many trees were planted in Class 1? | <gadget id="calculator">95 / 100</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">1 - (19/20)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">4 / (1/20)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00395938 | On Arbor Day, our school planted 192 trees, 172 of which survived, and later replanted 8 of them all survived. What is the survival rate of trees planted on Arbor Day? | <gadget id="calculator">172 + 8</gadget>
<output>180</output>
<gadget id="calculator">192 + 8</gadget>
<output>200</output>
<gadget id="calculator">180 / 200</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(9/10) * 1</gadget>
<output>... | 9/10 | calc |
aqua_rat__IO47oqPle94KKUZm | A group of boy scouts and girls scouts is going on a rafting trip. 60% of the scouts arrived with signed permission slips. If 45% of the scouts were boy scouts and 50% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the neare... | 45% were boy scouts so 55% (100-45=55) were girl scouts. # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed (50% of 45% of the total going) + (?% of 55% of the total going) = 60% of the total going We can let the "total going" = 1,000... | B | calc |
aqua_rat__6cM7baioV6OekzXP | A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability R of generating an odd prime digit is between Choose the correc... | K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1 Note that 1/10 is least value and is equal to 0.1 so we can write above series as K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1 K=1/3+ P (3 or 5 or 7) =K*13/24 Required probability R= 13/24 × 1/3+ = 4+/24 > 1/6 Answer should be B P.s. 3+ den... | B | calc |
aqua_rat__nQEavaprgP3pcbsM | In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference W between n and m? Pick:
A) 1 B) 3 C) 5 D) 7 E) 9 | We have equation 2n + 5m = 50 We have factor 2 in first number and we have factor 5 in second number. LCM(2, 5) = 10 So we can try some numbers and we should start from 5 because it will be less list than for 2 2 * 5=
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
10 and n should be equal 20 4 * ... | B | calc |
ape210k__01218295 | A parallelogram has the same base length and area as a triangle. The height of the parallelogram is 5 cm. What is the height of the triangle in cm? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00402088 | I drank a bucket of water in three days, drank 4 kilograms on the first day, drank the rest (5/12) on the second day, and drank half of the bucket on the third day. How many kilograms is this bucket of water? | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">4 - (5/3)</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<ga... | 28 | calc |
ape210k__01115739 | The fruit supermarket sent fruit to the school. The first time it delivered 35 kilograms, the second time it delivered 1.2 times the first time. Distribute these fruits equally to 20 classes, how many kilograms of fruits can each class get. | <gadget id="calculator">35 * 1.2</gadget>
<output>42</output>
<gadget id="calculator">35 + 42</gadget>
<output>77</output>
<gadget id="calculator">77 / 20</gadget>
<output>77/20 = around 3.85</output>
<result>77/20 = around 3.85</result> | 77/20 | calc |
ape210k__00177949 | Fill in a number in the box in the four-digit number 42□0 so that it can be divisible by 2, 3, and 5 at the same time. How many filling methods are there at most? | <result>4</result> | 4 | calc |
aqua_rat__UYRH6ktfCUMGvfo4 | In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed? Choose the correct choice from the following: A) 23,400 B) 60,840 C) 456,976,000 D) 608,400 E) 6... | The choices give us the answer without any calculations-- 3 one digits places can take 10*10*10 ways.. 4 letters places can be filled up in 26*26*26*26 ways ans= 26*26*26*26*10*10*10=456,976,000 ans 456,976,000
<result>C</result> | C | calc |
ape210k__00435034 | 303 201 minus 303, what is the difference? | <gadget id="calculator">303 * 201</gadget>
<output>60_903</output>
<gadget id="calculator">60_903 - 303</gadget>
<output>60_600</output>
<result>60_600</result> | 60_600 | calc |
ape210k__00084140 | The school opened computer classes and labor skills classes for students in the fourth grade. All the students in Class 4 and 1 actively signed up. Among them, 23 people signed up for computer classes, and 17 people signed up for labor skills classes. Statistics found that 5 Students participated in two courses at the ... | <gadget id="calculator">17 - 5</gadget>
<output>12</output>
<gadget id="calculator">23 + 12</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
aqua_rat__SMN8CsDx18sub2cX | A person buys an article at Rs.460. At what price should he sell the article so as to make a profit of 18%? Pick one:
A) 542
B) 882
C) 772
D) 662
E) 521 | Cost price = Rs.460 profit = 18% of 460 = Rs.82 Selling price = Cost price + Profit = 460 + 82=
<gadget id="calculator">460 + 82</gadget>
<output>542</output>
542 542nswer: 542
<result>A</result> | A | calc |
ape210k__00156760 | 0.5**2=How much | <gadget id="calculator">0.5 ** 2</gadget>
<output>0.25</output>
<result>0.25</result> | 0.25 | calc |
gsm8k__DzclNPiMKQzEwEvo | A salon has the same amount of customers every day. Each customer needs 1 can of hairspray during the styling and is also given 1 can of hairspray to take home. The salon also buys an extra 5 cans of hairspray each day to ensure there is never a shortage. If the salon buys 33 cans of hairspray every day, how many custo... | Removing the surplus hairspray shows the salon needs 33 total cans of hairspray - 5 surplus cans of hairspray =
<gadget id="calculator">33-5</gadget>
<output>28</output>
28 cans of hairspray for each customer.
Each customer needs 1 can of hairspray for styling + 1 can of hairspray to take home =
<gadget id="calculato... | 14 | calc |
aqua_rat__j4IX6SSdFlvSj0KZ | In the decimal expansion of (9/10)^4 what is the fourth digit to the right of the decimal point? Choose the most appropriate option: A) 2 B) 7 C) 1 D) 0 E) 5 | Step 1 1onvert fraction to decimal with two decimal places 9/10=
<gadget id="calculator">9/10</gadget>
<output>9/10 = around 0.9</output>
0.90 then convert to scientific number= 9*10^-1 Step 2 Multiply 9^4 by 10^-4 Step 3 9 has the sequence 9, 81, 729 Answer is 1
<result>C</result> | C | calc |
ape210k__00429001 | There are 6 classes for the third and fourth grades in a certain school, with an average of 55 students in each class of the third grade and 45 students in each class of the fourth grade. How many people are there in the third and fourth grades? | <gadget id="calculator">55 * 6</gadget>
<output>330</output>
<gadget id="calculator">45 * 6</gadget>
<output>270</output>
<gadget id="calculator">330 + 270</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
aqua_rat__T09zOd3iAFRPy5N4 | At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 30 males did not bring gifts to the party, how many females did bring gifts? Select the correct option: A) 18 B) 28 C) 40 D) 68 E) 70 | the correct method total = 300.. 70% of 300 = 210 got gifts.. 90 did not get gift, out of which 30 are males, so remaining 90-30=
<gadget id="calculator"> 90-30</gadget>
<output>60</output>
60 are females.. But 40% females brought gift, so 60% did not get it.. so 60%= 60, 100%= 60*100/60=
<gadget id="cal... | C | calc |
aqua_rat__105bKj2XsEppbKwv | A fruit seller sells mangoes at the rate of Rs.16 per kg and thereby loses 12%. At what price per kg, he should have sold them to make a profit of 20%? Select the correct option.
A) Rs.21.81
B) Rs.12
C) Rs.12.25
D) Rs.12.31
E) None | Solution 88 : 16 = 120 : x x= (16×120/88) = Rs.21.81 Hence, S.p per Kg = Rs.21.81 Rs.21.81nswer Rs.21.81
<result>A</result> | A | calc |
ape210k__00405803 | The cafeteria bought back a pile of coal and used it (3/5), what fraction is left? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00495053 | Xiaoqiang and Xiaohui live in the same building. Xiaohui lives on the 6th floor and Xiaoqiang lives on the 3rd floor. Xiaohui has to walk 90 steps to go home every day. How many steps does Xiaoqiang take to go home? | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">90 / 5</gadget>
<output>18</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__WzVkaBKLKt5YlnIr | A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? Choices:
A) 11.11 km/hr B) 21.11 km/hr C) 71.11 km/hr D) 81.11 km/hr E) 41.11 km/hr | Explanation: Total time taken = (160/64 + 160/8)hrs = 9/2 hrs. Average speed = (320 x 2/9) km.hr = 71.11 km/hr. Answer: 71.11 km/hr
<result>C</result> | C | calc |
ape210k__00955273 | If you sell a set of sportswear for 300 yuan, you can earn 20%, but if you sell it for 240 yuan, is it a profit or a loss? Why? | <result>240</result> | 240 | calc |
ape210k__00793323 | The TV factory produced 5,000 TV sets in January, and the total number of TV sets produced in February and March was 730 sets more than double that in January. How many million TV sets did this factory produce in the first quarter? | <gadget id="calculator">10_000 + 730 + 5_000</gadget>
<output>15_730</output>
<gadget id="calculator">15_730 / 10_000</gadget>
<output>1_573/1_000 = around 1.573</output>
<result>1_573/1_000 = around 1.573</result> | 1_573/1_000 | calc |
ape210k__00524824 | A cylindrical tin oil barrel is filled with half a barrel of oil. After pouring out 40% of the oil in the barrel, there are still 24 liters left. The bottom area of the oil barrel is 16 square decimeters. How many decimeters is its height? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id... | 5 | calc |
aqua_rat__DvW5BRQo1UqXcAUg | A 8" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted? Choose the correct choice from the following answers.
A) 120 B) 144 C) 180 D) 256 E) 324 | The unpainted blocks are the interior blocks. These blocks form a 6" cube on the inside. The number of unpainted blocks is 6*6*6=
<gadget id="calculator"> 6*6*6</gadget>
<output>216</output>
216 blocks. The answer is 256.
<result>D</result> | D | calc |
ape210k__00701537 | The inner side of a cuboid water tank is 5 decimeters long, 4 decimeters wide, and 3 decimeters deep. There is some water in it, and the water surface is 4 centimeters away from the tank mouth. If a cube stone with a side length of 2.1 decimeters is put in, the water will overflow How many milliliters. | <gadget id="calculator">52 - 60</gadget>
<output>-8</output>
<gadget id="calculator">9.261 + (-8)</gadget>
<output>1.261</output>
<gadget id="calculator">1.261 * 1_000</gadget>
<output>1_261</output>
<result>1_261</result> | 1_261 | calc |
aqua_rat__UukY7eeO2C6Rullv | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 90 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Choose the correct choice from the following answers
A) 71.5 B) 72 C) 72.5 D) 73 E) 85.7 | Many approaches are possible, one of them: Let the distance be 1 kilometer. Time to cover this distance at 90 kilometers per hour is 1/90 hours = 3,600/90 seconds = 40 seconds; Time to cover this distance at regular speed is 40+2=
<gadget id="calculator">40+2</gadget>
<output>42</output>
42 seconds= 42/3,600 hou... | E | calc |
aqua_rat__ORUiBYUC9TEveYRT | If each side of a right triangle is increased by 10% and the base(b) is half of the height, find the percentage change in its area? Select: A) 26% B) 21% C) 15% D) 18% E) 12% | a =1/2 x b x h or 1/2 x 2a x a(for simplification) New h = 220a / 100 = 22a / 10 New b =(110a x 100) ==11a/10 New area = 1/2 (22a x 11a) / (10 x 10) = (121a²/100) increased area== (121a²/100) - a² Increase %= [(21a²/100 ) x (1/a² ) x 100]% = 21% answer :21%
<result>B</result> | B | calc |
ape210k__00382212 | A road is 100 meters long, and one tree is planted every 4 meters on one side of the road (both ends are planted), how many trees can be planted in total. | <gadget id="calculator">100 / 4</gadget>
<output>25</output>
<gadget id="calculator">25 + 1</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
math_qa__NFlQcEdFMNJLjvPc | If a#b = ab – b + b^2, then 3#7 = Choose the correct choice from the following choices:
A) 2 B) 63 C) 15 D) 21 E) 35 | <gadget id="calculator">3 * 7</gadget>
<output>21</output>
<gadget id="calculator">21 - 7</gadget>
<output>14</output>
<gadget id="calculator">7 ** 2</gadget>
<output>49</output>
<gadget id="calculator">14 + 49</gadget>
<output>63</output>
<result>B</result> | B | calc |
ape210k__00803935 | A piece of wood with a length of 2 meters is now to be sawed into 5 sections. It takes 3 minutes to saw each section, and rest for 2 minutes after sawing a section. How many minutes will it take to saw all of them? Answer: How many minutes will it take to finish all sawing. | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">5 - 1 - 1</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">12 + 6</gadget>
<output>18</output>
<result>18</result... | 18 | calc |
math_qa__jUPa3XQOq4DmBPXa | A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as m... | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">60 + 120</gadget>
<output>180</output>
<gadget id="calculator">180 / 20</gadget>
<output>9</output>
<gadget id="calculator">9 / 4</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">(9/4) * 60</gadget>
<output>135</... | B | calc |
ape210k__00478525 | A total of 306 students from the third and fourth grades will take 9 cars to visit Changying Century City. If the number of people in each car is the same, how many people should each car take? | <gadget id="calculator">306 / 9</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
aqua_rat__2ygOapvwffkMBofZ | The difference between a number and its two-fifth is 510. What is 20% of that number? Select the correct option: A) 177 B) 170 C) 172 D) 174 E) 171 | Let the number be x. Then, x - 2/5 x = 510 x = (510 * 5)/3=
<gadget id="calculator">(510 * 5)/3</gadget>
<output>850</output>
850 20% of 850= 170. Answer:170
<result>B</result> | B | calc |
ape210k__00341208 | The original price of a piece of clothing is 650 yuan. Now it is sold at a 20% discount. How much is the price cut? | <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">650 * (1/5)</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
ape210k__00124397 | column calculation. Subtract the sum of (1/10) and (3/8) from (3/5). What is the difference? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/10) + (3/8)</gadget>
<output>19/40 = around 0.475</output>
<gadget... | 1/8 | calc |
ape210k__00040094 | The least common multiple of 9 and 16 minus how much is equal to their greatest common factor. | <gadget id="calculator">9 * 16</gadget>
<output>144</output>
<gadget id="calculator">144 - 1</gadget>
<output>143</output>
<result>143</result> | 143 | calc |
ape210k__00253695 | A rope is 20 meters long. If it forms a square, what is the length of its sides? | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
math_qa__9uOtAaxxuShvIxtg | A man has some hens and cows. If the number of heads be 50 and the number of feet equals 144, then the number of hens will be Select.
A) 22 B) 24 C) 26 D) 20 E) 28 | <gadget id="calculator">50 * 4</gadget>
<output>200</output>
<gadget id="calculator">200 - 144</gadget>
<output>56</output>
<gadget id="calculator">56 / 2</gadget>
<output>28</output>
<result>E</result> | E | calc |
math_qa__YrHJCXATGk1ot1x2 | Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales? Choose the most appropriate option:
A) $ 600
B) $ 820
C) $ 850
D... | <gadget id="calculator">48 - 20</gadget>
<output>28</output>
<gadget id="calculator">28 - 10</gadget>
<output>18</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 10</gadge... | B | calc |
aqua_rat__oU7Egi7mmoZ3pH1b | Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is? Choose the correct choice from the following options.
A) 3:7 B) 9:31 C) 7:21 D) 9:25 E) 7:6 | 1/4 : 3/4 = (1:3)5 = 5:15 1/5 : 4/5 = (1:4)4 = 4:16 = > 9:31 ANSWER 9:31
<result>B</result> | B | calc |
aqua_rat__3DkA7ryY7x6BlunJ | A city had 400 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 400 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?
Choices
A) 1400
B) 2300
C) 3000
D) 3200
E) 380... | The population will increase in the following order: 2000: 400 2003: 800 2006: 1600 2009: 3200 2012: 6400 3200ifference between 2009 and 2012 = 3200 Option 3200
<result>D</result> | D | calc |
aqua_rat__MVt6XurMyGsYpLho | In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,000 more votes to win the election, what is the value of x ? Choose the most appropriate option:
A) 50 B) 50.5 C) 56 D) 60 E) 63 | Word problems are tricky in somehow more than other problem because you have the additional step to translate. 50.5reaking the problem: Geoff how many votes he receives ?? 30 votes he needs 3571 more votes so : 30+3000=
<gadget id="calculator"> 30+3000</gadget>
<output>3_030</output>
3030 Now what's the probl... | B | calc |
ape210k__00356014 | A project, team A alone takes 6 hours, and team B alone takes 4 hours. After team A completes (1/3), the two teams cooperate. When the project is completed, how many hours will team A work in total? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/3) / (1/6)</gadget>
<output>2</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="... | 18/5 | calc |
gsm8k__jUBGNZQuRmjK3ZPN | Debby and Maggie agreed to share a sum of money so that Debby takes 25% and Maggie takes the rest. If Maggie's share is $4,500, how much did they share? | If Debby's share is 25% and Maggie takes the rest, then Maggie's share is 100%-25% = 75%
75% of the total amount is Maggie's share = total amount*(75/100) = $4500.
Multiplying both sides of the equation by 100/75 gives the total amount = (100/75)*$4500 = $
<gadget id="calculator">100/75*4500</gadget>
<output>6_000</out... | 6_000 | calc |
math_qa__LjZ1AFM0g00hP32P | A certain school implemented a reading program for its students, with the goal of getting each student to read 6 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? Choose the correct option.
A) 20 cs B) cs / 2 C) 7... | <gadget id="calculator">6 * 12</gadget>
<output>72</output>
<result>C</result> | C | calc |
ape210k__00970477 | A barrel of oil weighs 9 kilograms. After half of the oil is poured out, the weight of the barrel is 5.5 kilograms. How many kilograms does the barrel weigh? | <gadget id="calculator">9 - 5.5</gadget>
<output>3.5</output>
<gadget id="calculator">5.5 - 3.5</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00928825 | Both numbers A and B are not 0, the decimal point of number A moves one place to the left, and the decimal point of number B moves one place to the right, and the two numbers are just equal, then how many times is number A equal to number B? | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__pvCekRs4y9VEwnfM | In a shower, 7 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choose the correct choice.
A) 75 cu. m B) 1050 cu. m C) 7500 cu. m D) 75000 cu. m E) 7.50 cu. m | 1 hectare = 10000 sq mtr The volume of water that falls on 1.5 hectares of ground = 0.07*1.5*10000=
<gadget id="calculator">0.07*1.5*10000</gadget>
<output>1_050</output>
1050 cub mtr . ANSWER:1050 cu. m
<result>B</result> | B | calc |
ape210k__00259416 | Quick calculation: 123456789*987654321-123456788*987654320. | <gadget id="calculator">123_456_789 * 987_654_321</gadget>
<output>121_932_631_112_635_269</output>
<gadget id="calculator">123_456_788 * 987_654_320</gadget>
<output>121_932_630_001_524_160</output>
<gadget id="calculator">121_932_631_112_635_269 - 121_932_630_001_524_160</gadget>
<output>1_111_111_109</output>
<re... | 1_111_111_109 | calc |
ape210k__00644931 | If the radius of a circle increases from 6cm to 10cm, by how many square centimeters does the area of the circle increase? | <gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">100 - 36</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64</gadget>
<output>200.96</output>
<result>200.96</result> | 200.96 | calc |
ape210k__00175347 | Class A has 120 books, and Class B has 30 books. How many books does Class A give to Class B? The number of books in Class A is twice that of Class B. | <gadget id="calculator">120 + 30</gadget>
<output>150</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">150 / 3</gadget>
<output>50</output>
<gadget id="calculator">50 - 30</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__ALcO2WtVkn2OgPX6 | There are 20 students in a class. In how many different ways can a committee of 3 students be formed? Pick: A) 650 B) 730 C) 980 D) 1140 E) 1480 | 20C3 = 20*19*18 / 6=
<gadget id="calculator">20*19*18 / 6</gadget>
<output>1_140</output>
1140 The answer is 1140.
<result>D</result> | D | calc |
ape210k__00153499 | Distribute a bunch of candies to the children. If each person has 2 pieces, there will be 12 pieces left; if each person has 3 pieces, there will be 2 pieces left. So how many children are there in total? | <gadget id="calculator">12 + 2</gadget>
<output>14</output>
<gadget id="calculator">3 - 2</gadget>
<output>1</output>
<gadget id="calculator">14 / 1</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
aqua_rat__rrnMLuXY2WXCWDT9 | An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Pick one:
A) 4/9 B) 5/8 C) 4/7 D) 4/11 E) 5/9 | 2/3 ---- 12 ? ----- 8 ==> 4/9 4/9NSWER 4/9
<result>A</result> | A | calc |
ape210k__00269550 | What is the product of 689*8 less than? | <result>5_600</result> | 5_600 | calc |
ape210k__00892497 | The factory needs to process a batch of parts. The workers process an average of 260 parts per day. After working for 12 days, there are still 150 parts left unfinished. How many parts are there in total? | <gadget id="calculator">260 * 12</gadget>
<output>3_120</output>
<gadget id="calculator">3_120 + 150</gadget>
<output>3_270</output>
<result>3_270</result> | 3_270 | calc |
aqua_rat__zTB3bQhMm8JZfgya | y selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choices.
A) 8
B) 9
C) 7
D) 5
E) 4 | 80% --- 12 120% --- ? 80/120 * 12=
<gadget id="calculator"> 80/120 * 12</gadget>
<output>8</output>
8 8nswer: 8
<result>A</result> | A | calc |
ape210k__00275436 | Xiao Li deposits 5,000 yuan in the bank for half a year, with a monthly interest rate of 0.24%. How much money can be withdrawn from the bank at maturity. | <gadget id="calculator">0.24 / 100</gadget>
<output>0.0024</output>
<gadget id="calculator">5_000 * 0.0024 * 6</gadget>
<output>72</output>
<gadget id="calculator">5_000 + 72</gadget>
<output>5_072</output>
<result>5_072</result> | 5_072 | calc |
aqua_rat__09bVKGMC8lkaxynK | A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following answers.
A) 999 B) 279 C) 120 D) 99 E) 21 | Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec. Length of the train = 20 * 6=
<gadget id="calculator">20 * 6</gadget>
<output>120</output>
120 m. Answer: 120
<result>C</result> | C | calc |
ape210k__00139807 | The perimeter of a rectangle is 22 cm, and the length is 5 cm more than the width, what is the area of the rectangle? | <gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">11 - 5</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00278633 | Li Ming was doing an arithmetic problem. It was supposed to divide a certain number by 7, and then add 72. Due to his carelessness, the division was made into multiplication, and the addition was made into subtraction. But the answer is still correct. Do you know what a certain number is? | <gadget id="calculator">72 - 0</gadget>
<output>72</output>
<gadget id="calculator">72 + 72</gadget>
<output>144</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">7 - (1/7)</gadget>
<output>48/7 = around 6.857143</output>
<gadget id="calculator">144 / (48... | 21 | calc |
math_qa__lGZN7QPNGq20Ok1v | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choose one: A) 71.5 B) 72 C) 72.5 D) 73 E) 76.6 | <gadget id="calculator">1 / 80</gadget>
<output>1/80 = around 0.0125</output>
<gadget id="calculator">3_600 * (1/80)</gadget>
<output>45</output>
<gadget id="calculator">45 + 2</gadget>
<output>47</output>
<gadget id="calculator">47 / 3_600</gadget>
<output>47/3_600 = around 0.013056</output>
<gadget id="calculator... | E | calc |
ape210k__00643315 | "○○○○○○○○" If the 7 ○ in the left picture are regarded as 7 numbers, the average of these 7 numbers is 29, the average of the first three numbers is 25, and the average of the last four numbers What is the number. | <gadget id="calculator">29 * 7</gadget>
<output>203</output>
<gadget id="calculator">25 * 3</gadget>
<output>75</output>
<gadget id="calculator">203 - 75</gadget>
<output>128</output>
<gadget id="calculator">128 / 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
math_qa__DlgfsdTydhUltKiv | The speed of a train is 120 kmph. What is the distance covered by it in 10 minutes? Pick: A) 26 kmph B) 20 kmph C) 28 kmph D) 30 kmph E) 40 kmph | <gadget id="calculator">10 / 60</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * 120</gadget>
<output>20</output>
<result>B</result> | B | calc |
ape210k__00687909 | To process a batch of parts, A alone can complete it in 20 days, and A and B can complete it in 8 days together. It is known that B makes 12 more parts than A every day. Ask how many parts does B process every day? | <gadget id="calculator">20 * 12</gadget>
<output>240</output>
<gadget id="calculator">8 * 12</gadget>
<output>96</output>
<gadget id="calculator">240 - 96</gadget>
<output>144</output>
<gadget id="calculator">20 - 8 - 8</gadget>
<output>4</output>
<gadget id="calculator">144 / 4</gadget>
<output>36</output>
<resul... | 36 | calc |
aqua_rat__0ePvxGFkmm9erNOl | Tom wants to buy items costing $25.35, $100.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choose the correct choice from the follo... | $6.50 x .10 = $.65 is 10% of his hourly income $ 6.50 - .65=
<gadget id="calculator"> 6.50 - .65</gadget>
<output>5.85</output>
$5.85 hourly amount available to spend $25.35 + $100.69 + $85.96 = $212 total needed $212 ÷ $5.85 25.35 + 100.69 + 85.96=
<gadget id="calculator"> 25.35 + 100.69 + 85.96</gadget... | C | calc |
aqua_rat__Ruuq3eKrwovrjhmW | One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 7 robots altogether, if the robots build only one robot at a time?
A... | First the 2 robots work at the rate of 1 + 1/2 = 3/2 so they complete one robot in 2/3 rd of an hour = 40 minutes - (1) Now the 3 robots work together at the rate of 1 + 1/2 + 1/2 = 4/2=
<gadget id="calculator">4/2</gadget>
<output>2</output>
2/1 so they complete one robot in 1/2 an hour,i.e 30 minutes - (2)... | E | calc |
aqua_rat__syClKzPTseWkkDie | Sarah's seafood restaurant gets a delivery of fresh seafood every day, 5 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of... | Answer is D. Straight forward question.
<result>D</result> | D | calc |
ape210k__00829917 | Yunyun reads a 180-page pinyin book, and after 16 days of reading, there are still 52 pages left. How many pages do she read on average every day? | <gadget id="calculator">180 - 52</gadget>
<output>128</output>
<gadget id="calculator">128 / 16</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00630341 | A batch of goods was shipped in 3 days, 1/3 of the total amount was shipped on the first day, and the same amount was shipped on the second day as on the first day. What fraction of the total was shipped in two days? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) + (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
aqua_rat__ZpfjfTKedMtMy4tF | If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.
Choose one
A) 50 B) 30 C) 125 D) 25 E) None of these | H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750=
<gadget id="calculator">18750/750</gadget>
<output>25</output>
25. ANSWER:25
<result>D</result> | D | calc |
aqua_rat__hzRGfWQd8APPVPjv | Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 14 questions, if Sterling had answered 2 more qu... | i got two equations: 3x-2y=25 x+y=14 3x-2(14-x)=25 3x-28+2x=25 5x=53 x=10.6 or between 10 and 11. (ANS 10)
<result>E</result> | E | calc |
ape210k__00044945 | A living room is 8 meters long, 6 meters wide, and 3.5 meters high. It is necessary to use wallpaper to decorate its surrounding walls. It is known that the area of doors and windows is 12 square meters. How much wallpaper should I buy at least? | <gadget id="calculator">8 * 3.5</gadget>
<output>28</output>
<gadget id="calculator">6 * 3.5</gadget>
<output>21</output>
<gadget id="calculator">28 + 21</gadget>
<output>49</output>
<gadget id="calculator">49 * 2</gadget>
<output>98</output>
<gadget id="calculator">98 - 12</gadget>
<output>86</output>
<result>86<... | 86 | calc |
ape210k__00518317 | car travels from A to B. It was originally planned to travel 65 kilometers per hour, and it can be reached in 6 hours. It actually takes 5 hours to reach B. How many kilometers does it actually travel per hour? | <gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">65 * (6/5)</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
math_qa__cCaL0RdMcLAKmeVR | 30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen. Pick.
A) 10 B) 11 C) 12 D) 13 E) 14 | <gadget id="calculator">75 * 2</gadget>
<output>150</output>
<gadget id="calculator">570 - 150</gadget>
<output>420</output>
<gadget id="calculator">420 / 30</gadget>
<output>14</output>
<result>E</result> | E | calc |
ape210k__00912905 | A parallelogram vegetable field has an area of 55 square meters and a height of 5.5 meters. How many meters is the base? | <gadget id="calculator">55 / 5.5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
gsm8k__THYQZX5d9GFcftwc | A play was held in an auditorium and its ticket costs $10. An auditorium has 20 rows and each row has 10 seats. If only 3/4 of the seats were sold, how much was earned from the play? | There are 20 x 10 =
<gadget id="calculator">20*10</gadget>
<output>200</output>
200 seats in the auditorium.
Only 200 x 3/4 =
<gadget id="calculator">200*3/4</gadget>
<output>150</output>
150 seats were sold.
Hence, the earnings from the play is $10 x 150 = $
<gadget id="calculator">10*150</gadget>
<output>1_500</out... | 1_500 | calc |
ape210k__00035499 | In a subtraction expression, the subtrahend is 56, which is 7 times the difference, what is the minuend | <gadget id="calculator">56 / 7</gadget>
<output>8</output>
<gadget id="calculator">56 + 8</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00444760 | Hope Primary School has 350 sixth-grade graduates and 290 first-grade freshmen this year. Are there more graduates or new students this year? How many more? | <gadget id="calculator">350 - 290</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00222892 | Xiaohong planted trees around the playground. At the beginning, she planted one tree every 3 meters. After planting 13 trees, she found that the saplings were not enough, so she decided to replant the trees every 4 meters. How many trees were pulled down? | <result>4</result> | 4 | calc |
ape210k__00194713 | The perimeter of a rectangle is 40 meters, and the ratio of length to width is 4:1. What is its length in meters? | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</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 |
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