id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__QETcozmdIfptmUNJ | 5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Choose the correct choice from the following options:
A) 1:2
B) 1:5
C) 2:3
D) 3:2
E) None of these | Explanation: (5 × 2) women can complete the work in 1 day. ∴ 1 woman's 1 day's work = 1/10 (10 × 5) men can complete the work in 1 day. ∴ 1 man's 1 day's work = 1/50 so, required ratio =1/10 : 1/50= 1:5 Answer: 1:5
<result>B</result> | B | calc |
ape210k__00293462 | Times Supermarket has an off-season promotion for a product with a 25% discount. Now it sells for 150 yuan. What is the original price of this product? | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">150 / (3/4)</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00342484 | The baby mouse bought a piece of cake weighing (8/9) kilograms, the mother mouse ate (2/9) kilograms, the father mouse ate (2/9) kilograms more than the mother mouse, and the rest was eaten by the mouse baby ． How many kilograms of cakes did the baby mouse eat? | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(2/9) + (2/9)</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(8/9) - (4/9) - (2/9)</gadget>
<output>2/9 = around... | 2/9 | calc |
ape210k__00397042 | What is the sum of 936 plus 136 divided by 8 and multiplied by 23? | <gadget id="calculator">136 / 8</gadget>
<output>17</output>
<gadget id="calculator">17 * 23</gadget>
<output>391</output>
<gadget id="calculator">936 + 391</gadget>
<output>1_327</output>
<result>1_327</result> | 1_327 | calc |
aqua_rat__l6L0T4jkITKshNvq | Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Choose the correct choice from the following answers:
A) 10.9 sec
B) 14.8 sec
C) 10.6 sec
D) 10.8 sec
E) 20.8 sec | Relative speed = 60 + 40=
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
100 km/hr.= 100 * 5/18 = 250/9 m/sec. Distance covered in crossing each other = 140 + 160=
<gadget id="calculator">140 + 160</gadget>
<output>300</output>
300 m. Required time= 300 * 9/250 = 54/5=
<gadget id="calculator">54/5... | D | calc |
aqua_rat__z0IVfQqalBhuUmC3 | In what ratio P:Q should the Mixture P of milk and water in the ratio of 6:1 be mixed with another Mixture Q of milk and water in the ratio 3:4 so that the resultant mixture contains equal quantities of milk and water? Select: A) 1:3 B) 1:4 C) 1:5 D) 2:5 E) 3:4 | (6/7)*P +(3/7)*Q = (1/7)*P+(4/7)*Q 5P=Q P/Q = 1/5 The answer is 1:5.
<result>C</result> | C | calc |
aqua_rat__i4F4wpoBLO089Xs9 | If the average of 6 digits is 16 and the average of 4 of them is 10, calculate the average of the remaining 2 numbers?
Choose the correct choice from the following
A) 36 B) 35 C) 28 D) 33 E) 21 | Explanation: Total of the 6 digits - 6*16 = 96 Total of the 4 digits - 4*10 = 40 Total of the remaining 2 digits - 96-40 = 56 average of the remaining 2 numbers = 56/2=
<gadget id="calculator">56/2</gadget>
<output>28</output>
28 ANSWER: 28
<result>C</result> | C | calc |
ape210k__00247161 | Calculation: ((567+345*566)/(567*345+222))=how much. | <gadget id="calculator">345 * 566</gadget>
<output>195_270</output>
<gadget id="calculator">567 + 195_270</gadget>
<output>195_837</output>
<gadget id="calculator">566 + 1</gadget>
<output>567</output>
<gadget id="calculator">567 * 345</gadget>
<output>195_615</output>
<gadget id="calculator">195_615 + 222</gadget>... | 1 | calc |
math_qa__tbQwP9Drqqr7f8Ch | Two trains 140m and 160m long run at the speed of 60kmph and 48kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices
A) 5.6 sec
B) 8.9 sec
C) 10 sec
D) 12.6 sec
E) 15 sec | <gadget id="calculator">140 + 160</gadget>
<output>300</output>
<gadget id="calculator">60 + 48</gadget>
<output>108</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">108 * (5/18)</gadget>
<output>30</output>
<gadget id="calculator">300 / 30</gadget>
<... | C | calc |
aqua_rat__WsrxvdVXfejYaxfi | A can run 4.5 km distance in 1 min 30 seconds, while B can run this distance in 3 min. By how much distance can A beat B? Select the correct option
A) 2250 m B) 1000 m C) 1250 m D) 1800 m E) 2000 m | 2250 m takes time 1.30 minutes=90 sec B takes time 3 minutes=180sec diffrence= 180-90=
<gadget id="calculator">180-90</gadget>
<output>90</output>
90sec now we are to find distance covered in 90 sec by B 180sec=4500m 1sec=25m 90sec=25x90=2250m 2250 mNSWER:2250 m
<result>A</result> | A | calc |
ape210k__00012835 | The number of students in Class 5 (2/5) is 22. How many students are there in this class? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">22 / (2/5)</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00235270 | A*(2/5)=B*(5/6), known A=50, B=how many. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">50 * (2/5)</gadget>
<output>20</output>
<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">20 * (6/5)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__nY3C1jXqxHh3BPuz | A coin is tossed two times. What is the probability that there is at the least one tail? Choose the correct choice from the following answers:
A) 3/4
B) 31/37
C) 31/18
D) 31/10
E) 31/19 | Let P(T) be the probability of getting least one tail when the coin is tossed two times. = There is not even a single tail. i.e. all the outcomes are heads. = 1/4 ; P(T) = 1 - 1/4 = 3/4 3/4nswer: 3/4
<result>A</result> | A | calc |
aqua_rat__DOMkbTi8qfr2P2UJ | Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Options.
A) 12.6 sec B) 11.8 sec C) 27.7 sec D) 10.8 sec E) 17.8 sec | Relative speed = 60 + 40=
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
100 km/hr.= 100 * 5/18 = 250/9 m/sec. Distance covered in crossing each other = 140 + 210=
<gadget id="calculator">140 + 210</gadget>
<output>350</output>
350 m. Required time= 350 * 9/250=
<gadget id="calculator">350 * 9/250... | A | calc |
ape210k__01126527 | 240 times a number is 38400, what is this number? | <gadget id="calculator">38_400 / 240</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__01180947 | What is the surface area of a cube whose sum of sides is 96 cm? | <gadget id="calculator">96 / 12</gadget>
<output>8</output>
<gadget id="calculator">8 * 8 * 6</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
aqua_rat__yzDJnVGSJOB3PzeH | If a person walks at 25 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Answers:
A) 50 km B) 56 km C) 13.3 km D) 70 km E) 80 km | Let the actual distance travelled be x km. x/10 = (x+20)/25 25x = 10x + 200 15x = 200 x = 13.3 km. answer :13.3 km
<result>C</result> | C | calc |
aqua_rat__IUSFfQ1ZH2PbXw2V | Raju, Rahim, Rajesh together can do a work in 5 days. Raju alone can do the work in 10 days and Rahim alone can do the same work in 20 days. Find in what time Rajesh alone can do that work?
Options: A) 10days B) 15days C) 20days D) 30days E) 18days | The required answer is = 5*10*20 / 10*20-5(10+20) = 1000/50=
<gadget id="calculator">1000/50</gadget>
<output>20</output>
20days Answer is 20days
<result>C</result> | C | calc |
ape210k__00110913 | There are two villages A and B. Xiao Wang walks from Village A to Village B. Xiao Li rides a motorcycle and starts from Village B at the same time as Xiao Wang. People meet for the first time, 36 minutes Xiao Li surpasses Xiao Wang for the first time, then, when Xiao Wang arrives in Village B, how many times does Xiao ... | <result>5</result> | 5 | calc |
ape210k__00111785 | The table tennis team has 40 members, the track and field team has (5/4) the number of the table tennis team, and the swimming team has (3/5) the track and field team. How many people are there in the swimming team? | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">40 * (5/4) * (3/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__Gdo76MGQJ5s8bloC | What is the value of 3x^2 − 2.4x + 0.3 for x = 0.6? Choose one: A) −0.3 B) 0 C) 0.06 D) 1.08 E) 2.46 | 3x^2-2.4x+0.3 for x=0.6 =3(0.6*0.6)-4*0.6*(0.6)+0.3 =-0.6*0.6+0.3 =0.06 0.06orrect Option : 0.06
<result>C</result> | C | calc |
ape210k__00521666 | The volume of a cylindrical glass is 800 ml, and the ratio of the height of the water in the glass to the height of the water surface from the mouth of the glass is 1:1. A cone with a height of 8 cm is completely submerged in water. The ratio of the height of the water to the height of the water surface from the mouth ... | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/5) - (1/2)</gadget>
<output... | 30 | calc |
aqua_rat__IHyUqmJl7LJMf1I0 | 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.8800. If his salary for the month of May is Rs.6500, find his salary for the month of January? Select the correct option: A) s.3300 B) s.4570 C) s.4500 D) s.4550 E)... | Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000=
<gadget id="calculator">4 * 8000</gadget>
<output>32_000</output>
32000 ----(1) Sum of the salaries of the person for the months of February, March, April and May= 4 * 8800=
<gadget id="calculator">4 * 8800</gadget>... | A | calc |
ape210k__00990705 | The number of chickens is 20% less than that of ducks, and by what percentage is the number of ducks more than chickens? | <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">(1/5) / (4/5)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00196323 | If the number A is 3 times greater than the number B, then the number B is the number A and fill in the percentage. | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 * 4</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00114991 | The empty bucket can be filled with 9 cups of water or 8 bowls of water, now pour 3 cups of water and 4 bowls of water into the empty bucket, the water level will rise to the level of the empty bucket | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">3 * (1/9)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">4 * (1/8)</gadget>
<output>1/2 = around 0.5</output>
<gad... | 5/6 | calc |
ape210k__00631778 | Xiao Ming and Xiao Hong ride bicycles from City A to City B at the same time. Xiao Ming travels 12 kilometers per hour, and Xiao Hong travels 9 kilometers per hour. Xiao Ming stops for 2 hours for repairs due to a car breakdown on the way, so he is 0.5 hours later than Xiao Hong. , Ask: How many kilometers is the dista... | <gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">9 * 6</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00530284 | There are 180 girls in our school, 44 more than boys (4/5). How many students are there in our school? | <gadget id="calculator">180 - 44</gadget>
<output>136</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">136 / (4/5)</gadget>
<output>170</output>
<gadget id="calculator">170 + 180</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
ape210k__00026337 | Ma Yang is 760 meters from home to school. He goes to school in the morning and returns home in the evening. How many meters does he walk back and forth to school in a week? | <gadget id="calculator">760 * 2 * 5</gadget>
<output>7_600</output>
<result>7_600</result> | 7_600 | calc |
aqua_rat__Zg1Zu3geOdQDPrAH | In a Private Company 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How mu... | For 20 staffs: 300*100*20 = 60000 for driver and cleaning staff: 300*100*2 =6000 From petty Cash : 1000 1000nswer is 1000 1000nswer is 1000
<result>A</result> | A | calc |
aqua_rat__Rh3IdaBiMPlHOY5h | How many positive two-digit whole numbers are divisible by 7? Choose one:
A) 11 B) 9 C) 15 D) 12 E) 13 | The largest two-digit number that is a multiple of 7 is 7x14 = 98. Thus, there are 14 positive multiples of 7 that are less than 100. However, this includes 7x 1 = 7 which is not a two-digit number. Therefore, there are 14 -1=
<gadget id="calculator"> 14 -1</gadget>
<output>13</output>
13 positive two-digit n... | E | calc |
aqua_rat__FW7kDBf5GIDCZykD | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choose the correct choice from the following choices
A) 8 cm B) 5 cm C) 4 cm D) 2 cm E) 9 cm | Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere. π(16)2 * h = (4/3)π (12)3 => h = 9 cm Answer:9 cm
<result>E</result> | E | calc |
ape210k__00636043 | The number of fourth-grade students in Anying Primary School is 96, which is 18 more than the number of students in the whole school (1/6). What is the number of students in the whole school? | <gadget id="calculator">96 - 18</gadget>
<output>78</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">78 / (1/6)</gadget>
<output>468</output>
<result>468</result> | 468 | calc |
aqua_rat__ZaOSRPAxLA01aiLu | At a local supermarket, a box of cereal usually costs 10 dollars. This week, the supermarket sells the box of cereal for 2 dollars. How much money will you save if you buy this cereal at this supermarket? Options: A) 5 dollars B) 3 dollars C) 4 dollars D) 2 dollars E) 8 dollar | Solution: In this situation, there is a decrease in the price. Saving = 10 - 2=
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
8 dollars Option 8 dollar
<result>E</result> | E | calc |
math_qa__AjH6bsqtYvXcQAk8 | The sum of present age of Abe and the age before 7 years is 37. Find the present age of Abe. What will be his age after 7 years? Select:
A) 25 B) 26 C) 27 D) 28 E) 29 | <gadget id="calculator">37 + 7</gadget>
<output>44</output>
<gadget id="calculator">44 / 2</gadget>
<output>22</output>
<gadget id="calculator">22 + 7</gadget>
<output>29</output>
<result>E</result> | E | calc |
aqua_rat__m4H7sysR2XxKONd3 | O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(3.2) + E(–1.7) + o(–3.3) + e(... | O(3.2) + E(–1.7) + o(–3.3) + e(4.7) = 5 + 0 + (-5) + 4=
<gadget id="calculator">5 + 0 + (-5) + 4</gadget>
<output>4</output>
4 The answer is 4.
<result>B</result> | B | calc |
math_qa__069TKBjJeRUxb6x3 | B alone can do piece of work in 10 days. A alone can do it in 15 days. If the total wages for the work is Rs 5000, how much should B be paid if they work together for the entire duration of the work?
Choose the correct choice
A) 267 B) 7 C) 76 D) 8 E) 82 | <gadget id="calculator">15 + 10</gadget>
<output>25</output>
<gadget id="calculator">5_000 / 25</gadget>
<output>200</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">40 + 10</gadget>
<output>50</output>
<gadget id="calculator">50 + 10</gadget>
<output>60</output>
<gadget... | A | calc |
ape210k__00098356 | 25% of 4 kg plus 4 kg equals 4 kg | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * (1/4)</gadget>
<output>1</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__01136071 | In a shopping mall, two coats with different purchase prices are both sold for 120 yuan. One has a 50% profit and the other has a 20% loss. How much yuan has the merchant won or lost in this transaction? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">120 / (3/2)</gadget>
<output>80</output>
<gadget id="calculator">120 - 80</gadget>
<output>40</output>
<gadget id="calculator">20 / 100</ga... | 10 | calc |
math_qa__muCo6xR96b39ghlz | 20 6 years ago , a father was 3 times as old as his son . now the father is only twice as old as his son . then the sum of the present ages of the son and the father is : Choose the correct choice from the following answers: A) 120 B) 156 C) 108 D) 105 E) 86 | <gadget id="calculator">20 * 6</gadget>
<output>120</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<gadget id="calculator">120 + 36</gadget>
<output>156</output>
<result>B</result> | B | calc |
ape210k__01108453 | A cuboid classroom is 9 meters long, 8 meters wide, and 4 meters high. There are two doors in the classroom. The door is 1 meter wide and 2 meters high. Now it is necessary to paint all the walls below 1 meter high. The painted part What is the area of ? | <gadget id="calculator">9 * 1</gadget>
<output>9</output>
<gadget id="calculator">8 * 1</gadget>
<output>8</output>
<gadget id="calculator">9 + 8</gadget>
<output>17</output>
<gadget id="calculator">17 * 2</gadget>
<output>34</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator... | 32 | calc |
ape210k__00297053 | A classmate reads a football magazine at home. He reads (1/6) of the whole book on the first day, 24 pages on the second day, and 150% of the total number of pages read on the third day. This is the remaining (1/4) of the whole book that I have not read. How many pages are there in the whole book? | <gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">24 * (3/2)</gadget>
<output>36</output>
<gadget id="calculator">24 + 36</gadget>
<output>60</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * (3/2... | 180 | calc |
ape210k__01071337 | The fruit wholesale market brought in 5 carloads of apples, each with 169 boxes, and sold a total of 408 boxes in 3 days. How many boxes are left? | <gadget id="calculator">169 * 5</gadget>
<output>845</output>
<gadget id="calculator">845 - 408</gadget>
<output>437</output>
<result>437</result> | 437 | calc |
ape210k__00792707 | The length, width, and height of a cuboid are 5 cm, 5 cm, and 6 cm, respectively. What is the surface area of this cuboid in square centimetres. | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">25 + 30 + 30</gadget>
<output>85</output>
<gadget id="calculator">85 * 2</gadget>
<output>170</output>
<result>170</result> | 170 | calc |
ape210k__00361216 | Three good friends in the sixth grade were playing rope skipping. Xiao Ming danced 120 times, Xiao Ming danced Xiao Liang's (5/8), Xiao Qiang danced Xiao Liang's (7/8), how many did Xiao Qiang dance? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">120 / (5/8)</gadget>
<output>192</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">192 * (7/8)</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
ape210k__01192349 | A parking lot in a certain city stipulates that a parking fee of at least 5 yuan should be paid for one parking, and an additional 1.5 yuan will be charged for each additional hour of parking. Master Wang pays a parking fee of 15.5 yuan. How many hours does he park in the parking lot? | <gadget id="calculator">15.5 - 5</gadget>
<output>10.5</output>
<gadget id="calculator">10.5 / 1.5</gadget>
<output>7</output>
<gadget id="calculator">7 + 2</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00568154 | Aunt Li deposited 4,000 yuan in the bank for a period of 5 years, with an annual interest rate of 2.88%, and the interest on the deposit was taxed at a rate of 5%. How much after-tax interest and principal can Aunt Li get when it is due? | <gadget id="calculator">2.88 / 100</gadget>
<output>0.0288</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">4_000 * 0.0288 * 5 * (19/20)</gadget>
<output>547.2</output>
<gadg... | 4_547.2 | calc |
ape210k__00463108 | The fruit store shipped 6 tons of fruit for the first time, and 2,000 kilograms of fruit for the second time. How many tons were shipped in total? | <gadget id="calculator">6 * 1_000</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 + 2_000</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 / 1_000</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00287887 | One day Mr. Liu went to work. When he passed the clock tower, the big clock of the clock tower struck seven o'clock. He looked at his watch and found that it took 42 seconds from the first to the seventh. Teacher Liu suddenly came to the school. Then he asked his students the following question: It takes 42 seconds for... | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">42 / 6</gadget>
<output>7</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">7 * 11</gadget>
<output>77</output>
<result>77</result> | 77 | calc |
ape210k__00954213 | Divide 2 meters into 9 parts, what is the length of each part? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<result>2/9 = around 0.222222</result> | 2/9 | calc |
aqua_rat__ROOWntJHZxP4ypPJ | 50 square stone slabs of equal size were needed to cover a floor area of 98 sq.m. Find the length of each stone slab?
Pick
A) 140cm B) 767cm C) 88cm D) 666cm E) 776cm | 140cmrea of each slab =98/50m2=1.96m2 Length of each slab √1.96=1.4m=140cm
<result>A</result> | A | calc |
gsm8k__u2rBe0zaRhgcgBYv | Quinn catches twice the amount of frogs as Alster who caught 2. Bret catches three times the amount of frogs as Quinn. How many frogs did Bret catch? | Quinn catches twice the amount as Alster, who caught 2 frogs so Quinn caught 2*2 =
<gadget id="calculator">2*2</gadget>
<output>4</output>
4 frogs.
Bret catches three times the amount as Quinn who caught 4 frogs so Bret caught 3*4 =
<gadget id="calculator">3*4</gadget>
<output>12</output>
12 frogs.
<result>12</resul... | 12 | calc |
ape210k__00485758 | Zhang Ming has to walk 500 meters from home to school. He made two round trips that day. How many kilometers did he travel in total? | <gadget id="calculator">500 / 1_000</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * 2 * (1/2)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__6974KTl9ykYwjiB6 | One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 7 parts pure wine and 5 parts soda. Compare the strength of the wine. Choose the correct choice from the following answers.
A) 35;36 B) 7 : 8 C) 15 : 14 D) 14 : 5 E) None of these | 5/8 : 7/12 L15 : 14M of 8,12 = 24 (5/8)*24 : (7/12)*24 15:14 Answer is 15 : 14.
<result>C</result> | C | calc |
ape210k__00384420 | When a number is divided by 6, the quotient is 104 and the remainder is 5. What is the number? | <gadget id="calculator">104 * 6</gadget>
<output>624</output>
<gadget id="calculator">624 + 5</gadget>
<output>629</output>
<result>629</result> | 629 | calc |
ape210k__00112696 | Fill in a fraction with a single-digit denominator in the brackets, (3/4)<how many<(4/5). | <gadget id="calculator">7 / 9</gadget>
<output>7/9 = around 0.777778</output>
<result>7/9 = around 0.777778</result> | 7/9 | calc |
ape210k__00434928 | A bucket of water with the bucket weighs 45 kg, and after half of the water is poured out, the weight of the bucket is 24 kg. How many kilograms would the empty bucket weigh if all the water was poured out? | <gadget id="calculator">45 - 24</gadget>
<output>21</output>
<gadget id="calculator">21 * 2</gadget>
<output>42</output>
<gadget id="calculator">45 - 42</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00001598 | The oil yield of peanut kernels is 38%, how many kilograms of peanut kernels are needed to squeeze 7600 kg of oil? | <gadget id="calculator">38 / 100</gadget>
<output>19/50 = around 0.38</output>
<gadget id="calculator">7_600 / (19/50)</gadget>
<output>20_000</output>
<result>20_000</result> | 20_000 | calc |
ape210k__00135021 | The number of students in Class A and Class B is equal, and some students each participate in the extracurricular astronomy group. The number of people who work overtime to join the astronomy group is (1/3) the number of students in class B who do not participate in the astronomy group. 1/4), the number of people who d... | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<result>8/9 = around 0.888889</result> | 8/9 | calc |
math_qa__ZL0VDiEGbJqOZc9z | If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area?
Select the correct option
A) 4 % increase B) 6 % increase C) 5 % decrease D) 4 % decrease E) none of these | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(6/5) * (4/5)</gadget>
<output>24/25 = around 0.96</output>
<g... | D | calc |
ape210k__00984881 | A car travels 186 kilometers in 3 hours. According to this calculation, the total distance from A to B is 434 kilometers. How many hours does this car need to travel? | <gadget id="calculator">186 / 3</gadget>
<output>62</output>
<gadget id="calculator">434 / 62</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__01109201 | The volume of a cone with equal base and equal height is 16 cubic decimeters less than that of a cylinder. What is the volume of the cylinder? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">16 / (2/3)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00240126 | Teacher Li is 34 years old this year, and the three children are 9, 10, and 11 years old. After a few years, Teacher Li's age will be equal to the sum of the ages of the three children? | <gadget id="calculator">34 - 9 - 10 - 11</gadget>
<output>4</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00313594 | In the activities organized by the school to collect waste plastics, third grader Wang Hua collected 35 kg, Li Jian collected 33 kg, and Naughty and Xiaoxiao each collected 32 kg. How many kilograms of waste plastics does each person collect on average? | <gadget id="calculator">35 + 33 + 32 + 32</gadget>
<output>132</output>
<gadget id="calculator">132 / 4</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00747529 | rope is used to form a square. The side length of this square is 6.28 meters. If this rope is used to form a circle, what is the area of the circle in square meters? | <gadget id="calculator">6.28 * 4</gadget>
<output>25.12</output>
<gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
aqua_rat__173ckgpyhGNBjFWP | If the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2x = Choose the most appropriate option:
A) 540 B) 570 C) 619 D) 649 E) 700 | Before Price increase Price = x After 30% Price increase Price = x+(30/100)*x= 1.3x = 351 (Given) i.e. x= 351/1.3=
<gadget id="calculator">351/1.3</gadget>
<output>270</output>
$270 i.e. 2x= 2*270=
<gadget id="calculator">2*270</gadget>
<output>540</output>
540 540nswer: option 540
<result>A</result> | A | calc |
ape210k__00640977 | Divide (3/4) kilogram of apples into 3 equal parts, how much does each apple weigh | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) / 3</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
math_qa__7IE7WVfYYkRYsJ34 | The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes ... | <gadget id="calculator">3_600 / 10</gadget>
<output>360</output>
<gadget id="calculator">126 / 360</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) * 100</gadget>
<output>35</output>
<result>D</result> | D | calc |
ape210k__00516329 | A cubic steel billet with a side length of 8 cm is forged into a rectangular parallelepiped steel plate with a length of 16 cm and a width of 5 cm. How many centimeters is the thickness of this steel plate? | <gadget id="calculator">16 * 5</gadget>
<output>80</output>
<gadget id="calculator">8 / 80</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">8 * 8 * (1/10)</gadget>
<output>32/5 = around 6.4</output>
<result>32/5 = around 6.4</result> | 32/5 | calc |
aqua_rat__YPK0BVF7TUIcGVYf | There are 8 balls in a bucket, 4 balls are blue and 4 balls are red. If two ball chosen randomly , how many chances there are at least one blue ball will present? Choose the correct choice from the following choices:
A) 21 B) 25 C) 16 D) 22 E) 20 | Two ball will be chosen. At least 1 blue ball Total ways = 8C2 = 28 Total without any blue ball = 4C2 = 6 Hence ways in which at least one blue will be present = 28 - 6=
<gadget id="calculator">28 - 6</gadget>
<output>22</output>
22 Correct option: 22
<result>D</result> | D | calc |
ape210k__00518502 | Xiaoli reads an extra-curricular book, and has already read 35 pages, which happens to be (5/9) of this book. How many pages are left unread? | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">35 / (5/9)</gadget>
<output>63</output>
<gadget id="calculator">63 - 35</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__01144627 | The number of picture books in the book corner is 3/4 of the science books, and 40% less than the story books. There are 120 known science books, but how many story books are there? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</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">(3/4) / (3/5)</gadget>
<output>5/4 = around 1.25</output>
<gadget... | 150 | calc |
aqua_rat__Ps45R6zPF5kHxco1 | There are some people in party, 1/3rd left the party . Then 2/5th of the remaining left the party , then 2/3rd of the remaining left the party . At last 6 were remaining . How many people were in total ? Answers
A) 45 B) 27 C) 28 D) 26 E) 91 | Sol: 45 If x persons were there in total , then x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 6 x×2/3 × 3/5 × 1/3 = 6 x = 6 × 5 × 3/2 = 45 45nswer:45
<result>A</result> | A | calc |
ape210k__00389125 | The distance between A and B is 900 km. It takes 10 hours for A car to travel from A to B, and 15 hours for B to travel from B to A. Two cars drive from two places at the same time, how many kilometers is car A away from place B when they meet? | <gadget id="calculator">900 / 10</gadget>
<output>90</output>
<gadget id="calculator">900 / 15</gadget>
<output>60</output>
<gadget id="calculator">90 + 60</gadget>
<output>150</output>
<gadget id="calculator">900 / 150</gadget>
<output>6</output>
<gadget id="calculator">90 * 6</gadget>
<output>540</output>
<gadge... | 360 | calc |
aqua_rat__pXlEY3CFCbBh0KfS | What is the smallest integer k for which 64^k > 4^20? Choose the correct option
A) 4 B) 5 C) 6 D) 7 E) 8 | 64^k > 4^20 4^(3k) > 4^20 3k > 20 k = 7 The answer is 7.
<result>D</result> | D | calc |
ape210k__00163577 | Annie has 5 pieces of chocolate, and she eats at least one piece every day, and eats an integer number of pieces until she runs out. How many ways can she eat it? | <gadget id="calculator">1 + 3 + 4 + 3 + 2 + 2 + 1</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
gsm8k__T7IWvEYQ1qGQZdHt | A family's water and electricity bills average $30 a month for the first 4 months and $24 a month for the last 2 months. If the family's bills were averaged over all 6 months, what would the average monthly bill be? | The sum of the bills of the family in the first 4 months is $30/month x 4 months = $
<gadget id="calculator">30*4</gadget>
<output>120</output>
120.
The sum of the bills of the family in the last 2 months is $24/month x $2 = $
<gadget id="calculator">24*2</gadget>
<output>48</output>
48.
The sum of the bills of the fam... | 28 | calc |
ape210k__00049684 | If a circle is divided into two semicircles, their circumferences are increased by 6 decimeters, what is the area of the circle? | <gadget id="calculator">6 / 2 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) ** 2</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">3.14 * (9/4)</gadget>
<output>7.065</output>
<result>7.065</result> | 7.065 | calc |
ape210k__00090666 | Four passengers rent a car together to go home for the Spring Festival. Due to the different places where they get off the bus, each person pays a different fare. The ratio of the fare paid by passenger A to the other three is 1:2, and the fare paid by passenger B The ratio of the fare paid by passenger C to the other ... | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + 4</gadget>
<output>5... | 120 | calc |
ape210k__00407400 | train travels 312 kilometers in 4 hours, and it takes 12 hours to travel from Dezhou to Shenyang. How many kilometers is it from Dezhou to Shenyang? | <gadget id="calculator">312 / 4</gadget>
<output>78</output>
<gadget id="calculator">78 * 12</gadget>
<output>936</output>
<result>936</result> | 936 | calc |
aqua_rat__xMREmJQ1ZdR804HK | In how many ways the letters of the word RAIMBON be arranged? Options: A) 4678 B) 8754 C) 5040 D) 8658 E) 8754 | Total ways of arranging the letters = 7! = 5040 ways. 5040)
<result>C</result> | C | calc |
ape210k__01141433 | There are 320 fruit trees in the orchard, among which there are 20 more apple trees than the total (3/8), how many apple trees are there in the orchard? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">320 * (3/8)</gadget>
<output>120</output>
<gadget id="calculator">120 + 20</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
ape210k__00283294 | When Mr. Zhang drove from home to school, the fuel consumption was 0.6 liters when the road was smooth, which was 20% less than when the road was congested. How many liters of fuel does it consume in a traffic jam? (column equation solution) | <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">0.6 / (4/5)</gadget>
<output>0.75</output>
<result>0.75</result> | 0.75 | calc |
ape210k__00369695 | For a fraction, the difference between the numerator and the denominator is 27, which can be divided into (5/8). How much should this score be? | <gadget id="calculator">27 / 3</gadget>
<output>9</output>
<gadget id="calculator">9 * 8</gadget>
<output>72</output>
<gadget id="calculator">5 / 72</gadget>
<output>5/72 = around 0.069444</output>
<gadget id="calculator">9 * (5/72)</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
aqua_rat__dd0jS6S0OoWmulrl | A train 165 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 answer:
A) 5 B) 6 C) 7 D) 8 E) 9 | 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 = [165 * 3/55=
<gadget id="calculator">165 * 3/55</gadget>
<output>9</output>
9 sec Answer: 9
<result>E</result> | E | calc |
ape210k__00349259 | Xiao Ming has 15 stamps, and Xiao Qiang has 3 times more stamps than Xiao Ming, which is 5 more. How many stamps does Xiao Qiang have? | <gadget id="calculator">15 * 3</gadget>
<output>45</output>
<gadget id="calculator">45 + 5</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00569503 | If the surface area of a cube is 24 square meters, if the length of each side is increased by 1 meter, the volume will be increased by how many cubic meters. | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">27 - 8</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
aqua_rat__ajszT7gRA3jSAf7D | The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Choose the correct choice from the following answers
A) 759 B) 750 C) 278 D) 267 E) 187 | Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec. Let the length of the train and that of the platform be x meters. Then, 2x/60 = 25 è x = 25 * 60 / 2=
<gadget id="calculator">25 * 60 / 2</gadget>
<output>750</output>
750 Answer: 750
<result>B</result> | B | calc |
aqua_rat__NHKFZYaTRsbZv6Fw | Departments A has 20 employees, B, and C have 20 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are poss... | 20c1 * 10c1* 10c1*20c2 = 20*10*10*190=380,000. Hence 380,000 is the correct answer.
<result>E</result> | E | calc |
ape210k__00572234 | Adding 1 to the numerator of a fraction equals 1. If adding 1 to the denominator equals (4/5), what is the original fraction? | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<result>8/9 = around 0.888889</result> | 8/9 | calc |
ape210k__00409307 | Xiao Nan reads a 285-page story book, and reads an average of 35 pages a day in the first 4 days, and plans to finish the rest in 5 days. How many pages do she need to read on average every day? | <gadget id="calculator">35 * 4</gadget>
<output>140</output>
<gadget id="calculator">285 - 140</gadget>
<output>145</output>
<gadget id="calculator">145 / 5</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__J3DR9Y5VElf8S0Su | The average of first 10 odd numbers is?
Choose the correct choice from the following choices: A) 22 B) 10 C) 98 D) 66 E) 88 | Sum of 10 odd no. = 100 Average = 100/10=
<gadget id="calculator">100/10</gadget>
<output>10</output>
10 Answer:10
<result>B</result> | B | calc |
aqua_rat__IHgQdfs7nRjsBuB8 | A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it... | Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500. Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000. Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P) Total income of B = only his share from ... | D | calc |
ape210k__00551170 | If each side of a square garden is 8 meters long, what is the total length of the railings around it? | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__01054885 | For a batch of parts, Master Wang processed (3/8) of it, and Master Li processed (5/12) of it. What percentage of this batch of parts did Master Li process more than Master Wang? | <gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(5/12) - (3/8)</gadget>
<output>1/24 = around 0.041667</output>
<result>1/24 = around 0.041667</result> | 1/24 | calc |
ape210k__01079667 | There are 170 bags of rice and flour in the supermarket. If there are 20 more bags of rice and 15 bags of flour, the number of bags of rice is 1 bag more than twice the number of bags of flour. How many bags of rice are there? | <gadget id="calculator">170 * 2</gadget>
<output>340</output>
<gadget id="calculator">1 - 20</gadget>
<output>-19</output>
<gadget id="calculator">340 + (-19)</gadget>
<output>321</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">321 / 3</gadget>
<output>107</output>
<resul... | 107 | calc |
ape210k__00931625 | A story book, I read 5 pages a day for 7 days, and there are 65 pages left, how many pages are there in this book? | <gadget id="calculator">5 * 7</gadget>
<output>35</output>
<gadget id="calculator">35 + 65</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00951477 | A conical sand pile has a base area of 6 decimeters and a height of 1.5 decimeters. What is the volume of this conical sand pile? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 6 * 1.5</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00270025 | The school went to the store to buy 5 pairs of table tennis boards and paid 290 yuan. With the recovered money, they can buy 5 table tennis balls at 2 yuan each. How much is the price of each pair of table tennis boards? | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">290 - 10</gadget>
<output>280</output>
<gadget id="calculator">280 / 5</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00886467 | A car has driven 360 kilometers from 10:00 am to 4:00 pm. How many kilometers per hour has the car traveled on average? | <gadget id="calculator">360 / 6</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.