id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00251966 | If the lengths of the two sides of a triangle are 4cm and 7cm respectively, how many cm can the third side be | <gadget id="calculator">7 - 4</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00053774 | rectangular swimming pool has a perimeter of 200 meters and its length is 20 meters greater than its width. What is the length in meters? | <gadget id="calculator">200 / 2</gadget>
<output>100</output>
<gadget id="calculator">20 + 100</gadget>
<output>120</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__HFSReKHhp6YWTuhK | Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 4 minutes more to walk to work than to ride his bike to work, then x equals?
Options
A) 4 B) 6 C) 10 D) 15 E) 20 | Please follow posting guidelines, link is in my signatures. As for your question, x/60 = blocks/time/block = block^2/time . This is not what you want. You are given x blocks and 60 seconds PER BLOCK. Thus you need to put it as 60*x to give you units of seconds as you are equating this to 240 (which is TIME in seconds... | B | calc |
ape210k__00816895 | Car A travels 70 kilometers per hour, and car B travels 90 kilometers per hour. Cars A and B drive opposite each other from AB. When two cars meet, car A travels 45 kilometers less than car B, how many kilometers is the distance between AB and AB? | <gadget id="calculator">90 - 70</gadget>
<output>20</output>
<gadget id="calculator">45 / 20</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">90 + 70</gadget>
<output>160</output>
<gadget id="calculator">(9/4) * 160</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
math_qa__HNvvAn240yOfuRBo | The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 10 and 15. The larger of the two numbers is: Select the correct option:
A) 350
B) 250
C) 450
D) 500
E) 620 | <gadget id="calculator">30 * 15</gadget>
<output>450</output>
<result>C</result> | C | calc |
aqua_rat__sLfOyRqj6xqBsOq1 | a men walked 30m west 5m south 10m west 35m north to tollgate find the distance from the start gate? Choose the correct option:
A) 40m B) 50m C) 60m D) 70m E) 80m | The man is toward West = 30+10=
<gadget id="calculator">30+10</gadget>
<output>40</output>
40m The man is towards North= 35m(N) - 5m(S) = 30m Therefore, the distance from the start gate = sqrt(40^2+30^2) = sqrt(2500) = 50m ANSWER:50m
<result>B</result> | B | calc |
ape210k__00567064 | A road roller rolled 0.75 hectares more in the morning than in the afternoon. Work 4.5 hours in the morning and 4 hours in the afternoon. How many hectares of road does this road roller averagely per hour? | <gadget id="calculator">4.5 - 4</gadget>
<output>0.5</output>
<gadget id="calculator">0.75 / 0.5</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
aqua_rat__xf982bVJI1SFf9fu | A bus leaves Santa Barbara at 6:00 a.m. traveling east at 50 miles per hour. At 2:00 p.m. a plane leaves Santa Barbara traveling east at 450 miles per hour. At what time will the plane overtake the bus? Pick:
A) 2:45 p.m. B) 3:15 p.m. C) 3:30 p.m. D) 3:45 p.m. E) 3:00 p.m. | At 2:00pm, the bus is 400 miles ahead of plane The plane travels at 450 mph, which gains 400 mph on bus 400/400=
<gadget id="calculator"> 400/400</gadget>
<output>1</output>
1 hour 2:00 + 1:00= 3:00 The plane will overtake bus at 3:00pm Answer:3:00 p.m.
<result>E</result> | E | calc |
ape210k__00163423 | Solution ratio: 0.5: x=(1/4): (1/6). | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">0.5 * (1/6)</gadget>
<output>0.083333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">0.083333 / (1/4)</gadget>
<output>0.333332</output>
<result>0.333332<... | 0.333332 | calc |
ape210k__00239182 | A parallelogram with an area of 24 square centimeters, if its base is tripled and its height doubled, what is its current area in square centimeters? | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">24 * 6</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
ape210k__00061812 | Lingling reads "The King of Stories", 6 pages a day for 3 days, how many pages should she start reading on the 4th day. | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 + 1</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00022024 | Feicheng is known as "the first county of organic vegetables". An organic vegetable processing factory located in Yiyang Township received an order for 480 tons. It produced 160 tons on the first day and the rest (9/16) on the second day. How many tons did it produce on the second day? | <gadget id="calculator">480 - 160</gadget>
<output>320</output>
<gadget id="calculator">9 / 16</gadget>
<output>9/16 = around 0.5625</output>
<gadget id="calculator">320 * (9/16)</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00274700 | A road with a total length of 60 kilometers is divided into three sections: uphill, flat, and downhill. The ratio of the length of each section is 1:2:3, and the ratio of the time it takes for Uncle Zhang to ride through each section is 3:4. : 5. It is known that he is cycling at a speed of 25 kilometers per hour on a ... | <gadget id="calculator">1 + 2 + 3</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 + 4 + 5</gadget>
<output>12</output>
<gadget id="calculator">4 / 12</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / 25... | 12/5 | calc |
ape210k__00037695 | A triangular billboard with a base length of 2.4m and a height of 1.2m, what is its area in m**2. | <gadget id="calculator">1.2 / 2</gadget>
<output>0.6</output>
<gadget id="calculator">2.4 * 0.6</gadget>
<output>1.44</output>
<result>1.44</result> | 1.44 | calc |
ape210k__00499063 | 33456 subtracts 272 continuously, how many times to subtract, the final result is 0. | <gadget id="calculator">33_456 / 272</gadget>
<output>123</output>
<result>123</result> | 123 | calc |
math_qa__V50s69L7wdQ9IeoJ | How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 850 meters in length?
Choose one
A) 28 B) 27 C) 55 D) 18 E) 67.7 | <gadget id="calculator">165 + 850</gadget>
<output>1_015</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">54 * (5/18)</gadget>
<output>15</output>
<gadget id="calculator">1_015 / 15</gadget>
<output>203/3 = around 67.666667</output>
<result>E</result> | E | calc |
aqua_rat__P1qOBlJD16qyluX8 | The value of x + x(xx) when x = 1 is: Answers
A) 5
B) 8
C) 2
D) 1
E) 4 | x + x(xx) Put the value of x = 1 in the above expression we get, =1 + 1(1) = 1 + 1(1) = 1 + 1=
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
2 2ORRE2T ANSWER : 2
<result>C</result> | C | calc |
ape210k__00454406 | Given that the length of the rectangle is 9 cm and the width is 7 cm, what is the perimeter? | <gadget id="calculator">9 + 7</gadget>
<output>16</output>
<gadget id="calculator">16 * 2</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
aqua_rat__XqD1MLoeMSoORU5f | The highest score in an inning was 3/11 of the total and the next highest was 3/11 of the reminder . If the score differ by 9, the total score was :
Choose one.
A) 110 B) 121 C) 132 D) 143 E) None of these | Explanation: Let the score be x. Then the highest score = 3x/11. Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121. 3x/11 - 24x/11 = 9 <=> 33x - 24x = 9 × 121 <33 - 24=
<gadget id="calculator">33 - 24</gadget>
<output>9</output>
9 × 121 <=> x = 121.. Answer: 121
... | B | calc |
ape210k__00008348 | The width of the ring is 1.5 times the radius of the inner circle, and the area of the ring is 210 square centimeters. What is the area of the inner circle in square centimeters? | <result>40</result> | 40 | calc |
gsm8k__BzMN3yzdpLmtirJy | Keesha wants to get her hair and nails done for prom. Hair updos cost $50 and manicures cost $30. How much will these two services cost her with a 20% tip for each beautician? | Tip for the hair stylist will be $50 x 20% = $
<gadget id="calculator">50*20*.01</gadget>
<output>10</output>
10.
Tip for the manicurist will be $30 x 20% = $
<gadget id="calculator">30*20*.01</gadget>
<output>6</output>
6.
Total tips will be $10 + $6 = $
<gadget id="calculator">10+6</gadget>
<output>16</output>
16.
To... | 96 | calc |
ape210k__00213820 | Calculation: 2006*20052006-2005*20062005=how much. | <gadget id="calculator">2_006 * 20_052_006</gadget>
<output>40_224_324_036</output>
<gadget id="calculator">2_005 * 20_062_005</gadget>
<output>40_224_320_025</output>
<gadget id="calculator">40_224_324_036 - 40_224_320_025</gadget>
<output>4_011</output>
<result>4_011</result> | 4_011 | calc |
ape210k__00621025 | It takes Team A 15 days to repair a section of road alone, and Team B takes 10 days to repair it alone. After 3 days of joint training by teams A and B, the rest will be completed by team B. How many more days will it take? | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/15) + (1/10)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * 3</gadget>
<output>1/2 = around 0.5</outpu... | 5 | calc |
ape210k__00133861 | parallelogram plank has an area of (1/2)m**2 and a base of (4/5)m. What is its height? What is the column | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(1/2) / (4/5)</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
ape210k__00793451 | One side of an isosceles triangle is 5 cm long and the base is 4 cm long. What is the perimeter of the isosceles triangle? | <gadget id="calculator">5 + 5 + 4</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00500202 | Dangdang sawed a 1.5-meter-long square log into three sections on average, and the surface area increased by 36 square decimeters. What is the volume of this square log in cubic decimeters? | <gadget id="calculator">36 / 4</gadget>
<output>9</output>
<gadget id="calculator">1.5 * 10</gadget>
<output>15</output>
<gadget id="calculator">9 * 15</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
ape210k__00585531 | The total production value of Zhongxing Automobile Manufacturing Plant last year was 690 million yuan, which was 15% higher than the plan. How much is the total production value of the plant last year? | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">6.9 / (23/20)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00230142 | On a Chinese map with a scale of 1:5,000,000, the distance from Shanghai to Hangzhou is 3.4 centimeters. How many kilometers is the actual distance from Shanghai to Hangzhou? How many hours does it take for a passenger car to drive from Shanghai to Hangzhou at a speed of 100 kilometers per hour? | <gadget id="calculator">1 / 5_000_000</gadget>
<output>1/5_000_000 = around 0</output>
<gadget id="calculator">3.4 / (1/5_000_000) / 100_000 / 100</gadget>
<output>1.7</output>
<result>1.7</result> | 1.7 | calc |
ape210k__01194049 | There are 1,000 seats in a performance hall. A performance sells 150 first-class tickets at a unit price of 200 yuan; 250 second-class tickets at a unit price of 160 yuan; and 400 third-class tickets at a unit price of 125 yuan. What is the average unit price. | <gadget id="calculator">200 * 150</gadget>
<output>30_000</output>
<gadget id="calculator">160 * 250</gadget>
<output>40_000</output>
<gadget id="calculator">125 * 400</gadget>
<output>50_000</output>
<gadget id="calculator">30_000 + 40_000 + 50_000</gadget>
<output>120_000</output>
<gadget id="calculator">120_000 ... | 120 | calc |
aqua_rat__REPMQxRieVh5sxAH | If P gets 25% more than Q, then by what percent does Q get less than P? Pick:
A) 33 1/3% B) 30% C) 20% D) 16 2/3% E) None of these | Let Q get 1 unit. 25% of 1 unit = 1/4=
<gadget id="calculator">1/4</gadget>
<output>1/4 = around 0.25</output>
0.25 P gets (1 + 0.25) i.e., 1.25 units. Difference= (1.25 - 1)=
<gadget id="calculator">(1.25 - 1)</gadget>
<output>0.25</output>
0.25 Required percentage= 0.25/1.25 * 100 = 1/5 * 100=
<gadget id="... | C | calc |
ape210k__00529115 | Mingming deposits the lucky money for Chinese New Year in the bank for a fixed period of one year. At that time, the annual interest rate was 3%. When it expires, he will get back the principal and interest of 1,236 yuan. How much is Mingming deposited in the bank? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">1 + (3/100)</gadget>
<output>103/100 = around 1.03</output>
<gadget id="calculator">1_236 / (103/100)</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
ape210k__00393055 | Emerald Mountain Lake Primary School is going to buy 75 sets of tables and chairs. It is known that each table costs 80 yuan and each chair costs 58 yuan. How much do these tables and chairs cost? | <gadget id="calculator">80 + 58</gadget>
<output>138</output>
<gadget id="calculator">138 * 75</gadget>
<output>10_350</output>
<result>10_350</result> | 10_350 | calc |
ape210k__00125552 | If the sides of an isosceles triangle are 6cm and 12cm long, what is its perimeter in centimeters? | <result>30</result> | 30 | calc |
aqua_rat__b0389WYpDzYte3Zn | In a college, the ratio of the number of boys to girls is 8 : 5. If there are 350 girls, the total number of
students in the college is Choose the correct answer:
A) 420
B) 520
C) 620
D) 910
E) None of these | Explanation: Let the boy are 8x and Girls are 5x => 5x = 350 => x = 70 Total students = 8x+5x = 13x 8 +5=
<gadget id="calculator">8 +5</gadget>
<output>13</output>
13x= 13(70) = 910 Answer: 910
<result>D</result> | D | calc |
aqua_rat__aF1OAV3064zgUmVK | Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements W are possible?
Choose the correct choice from the following choices: A) 30 B) 60 C) 90 D) 180 E) 540 | 90 is the number of ways you can assign 3 teams formed out of 12 people to 3 different tasks. But now you can order the 3 tasks in 3! ways. T1 T2 T3 or T2 T1 T3.... etc etc. I was confused between 90 and 540 but since question used the wordarrangementsdecided to go with complete arrangements W including the order o... | C | calc |
ape210k__00093746 | A cuboid wooden box is 10 decimeters long, 12 decimeters wide, and 3 decimeters high. How many square decimeters of boards should be used to make this wooden box? | <gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">120 + 30 + 36</gadget>
<output>186</output>
<gadget id="calculator">186 * 2</gadget>
<output>372</output>
<re... | 372 | calc |
math_qa__CSk9tZFfdUVMw7OW | at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work? Pick one.
A) 5 hour B) 11 / 2 hour C) 6 hour D) 13 / 2 hour E) 8 hour | <gadget id="calculator">15 / 2</gadget>
<output>15/2 = around 7.5</output>
<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">(15/2) * (4/5)</gadget>
<output>6</output>
<result>C</result> | C | calc |
aqua_rat__gWm5Ikx1IX9vGNB4 | A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money? Choose the most appropriate option:
A) Rs.201 B) Rs.220 C) Rs.228 D) Rs.205 E) Rs.202 | A:B:C = 100:65:40 = 20:13:8 8 ---- 40 41 ---- ? => Rs.205 Answer: Rs.205
<result>D</result> | D | calc |
gsm8k__slFwkbCJ00vd8Nsx | Samuel swept the porch and cleared nine-tenths of the dust particles from it. As he walked across the porch afterward, his shoes left 223 dust particles behind. How many dust particles were on the porch before Samuel swept if there were 331 after he walked across it? | Before Samuel walked across the porch, there were 331 - 223 =
<gadget id="calculator">331-223</gadget>
<output>108</output>
108 dust particles.
Those 108 were 1/10 of the original amount, so there were 108 * 10 =
<gadget id="calculator">108*10</gadget>
<output>1_080</output>
1080 dust particles on the porch before Sa... | 1_080 | calc |
ape210k__00531515 | book is priced at 75 yuan, and you can make a profit of 50% after selling it. What is the cost of this book? | <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">75 / (3/2)</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__01023501 | For Xiaohua's birthday, he needs 39 yuan to buy snacks and 46 yuan to buy fruit. He pays the salesperson 100 yuan. How much should he get back? (calculated in two ways) | <gadget id="calculator">100 - 39 - 46</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00872743 | (1/2)+(1/6)+(1/12)+(1/20)+(1/30)+(1/42)+(1/56)+(1/72)=how much. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget i... | 8/9 | calc |
ape210k__00167377 | A house needs 108 square bricks of 16 square decimeters each to pave the floor. If it is paved with square bricks of 9 square decimeters each, how many bricks are needed? (Solve with ratio) | <gadget id="calculator">16 * 108</gadget>
<output>1_728</output>
<gadget id="calculator">1_728 / 9</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__01164385 | The production of Uncle Li’s Shatian pomelo reached 24,000 tons this year, which is 20% more than last year’s production. | <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">2.4 / (6/5)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00092065 | The windmill program starts at 5:20 pm and ends at 6:00 pm. How many minutes is the broadcast time? | <result>40</result> | 40 | calc |
ape210k__00468510 | A cuboid sewer pipe with a length of 4 meters is a rectangle with a length of 15 cm and a width of 10 cm. How much material is needed to make this sewer pipe at least. | <gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">400 * 15</gadget>
<output>6_000</output>
<gadget id="calculator">400 * 10</gadget>
<output>4_000</output>
<gadget id="calculator">6_000 + 4_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 * 2</gadget>
<output>2... | 20_000 | calc |
ape210k__00606608 | Four pieces of the same cylindrical wood have been measured to have a side circumference of 62.8 cm and a length of 220 cm. How many cubic centimeters are the volumes of these wood pieces? | <gadget id="calculator">62.8 / 3.14 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>
<gadget id="calculator">314 * 220 * 4</gadget>
<output>276_320</output>
<result>276_320</result> | 276_320 | calc |
math_qa__TU9FiC7jwpjYz6wM | There are 2 positive integers x and y. What is the probability that x+y is odd?
Choose the correct answer.
A) 1 / 4
B) 1 / 2
C) 1 / 3
D) 1 / 5
E) 1 / 9 | <gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | calc |
ape210k__00569833 | Solve the equation: x+x=17. | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">17 / 2</gadget>
<output>17/2 = around 8.5</output>
<result>17/2 = around 8.5</result> | 17/2 | calc |
ape210k__00399919 | A processing factory in Enyang Industrial Park is going to make a cuboid metal ventilation pipe with a length of 16 meters, and the ventilation opening is a square with a side length of 0.2 meters. How many square meters of iron sheet is needed to make such a ventilation pipe? | <gadget id="calculator">0.2 * 4 * 16</gadget>
<output>12.8</output>
<result>12.8</result> | 12.8 | calc |
ape210k__00214033 | Sum all the factors of a certain natural number two by two to get several natural numbers. Among these numbers, the smallest is 4 and the largest is 140. What is this natural number? | <gadget id="calculator">4 / 1</gadget>
<output>4</output>
<gadget id="calculator">140 / 4</gadget>
<output>35</output>
<gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">35 * 3</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
ape210k__00955505 | Xiao Li's family planted 15 mango trees, the number of lychee trees is 2/3 of mango trees, and 2/7 of longan trees. How many longan trees does Xiaoli's house have? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(2/3) / (2/7)</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">15 * (7/3)</gadget>
<output>35</output>
<result>35... | 35 | calc |
ape210k__00296701 | 96/3=how much. | <gadget id="calculator">90 / 3</gadget>
<output>30</output>
<gadget id="calculator">6 / 3</gadget>
<output>2</output>
<gadget id="calculator">30 + 2</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00477421 | parallelogram whose height is 150 cm and whose base is 60 cm is divided into two identical triangles. What is the area of each triangle? | <gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">150 * 30</gadget>
<output>4_500</output>
<result>4_500</result> | 4_500 | calc |
aqua_rat__niczCXChEC6VMFNZ | In a race, the speeds of A and B are in the ratio 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is? Choose the most appropriate option: A) 1 hr B) 2 hr C) 1.5 hr D) 2.5 hr E) 3 hr | Explanation : Ratio of speeds = 3:4Distance remaining constant, the ratio of time taken = 4:3A takes 0.5 hours more than 2 hrHence time taken by A=4×0.5= 2 hour Answer : 2 hr
<result>B</result> | B | calc |
aqua_rat__2Ed4kzUA4CX8veQt | IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7:4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the price at which IBM wo... | Explanation : IBM initially quoted Rs 7x lakh. KTC quoted 4x lakh. IBM's final quote = (4x−1) Lakh. Thus, (4x−1)/4=3/4 i.e x=1. Hence, IBM's bid winning price = Rs 3 Lakh. Answer : Rs. 3 lakh
<result>B</result> | B | calc |
ape210k__00781401 | Uncle Li wanted to buy a fishing rod with an original price of 240 yuan. The waiter told him that the store was offering a 20% discount, and he could enjoy a 10% discount on top of the discount with his VIP card. He could buy this fishing rod at a lower price than the original price. how much? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">240 * (4/5) * (9/10)</gadget>
<output>864/5 = around 172.8</output>
<gadget id="calculator">240 - (864/5)</gadget>
<output>336/5 = around 67... | 336/5 | calc |
ape210k__00012370 | Fill in the appropriate number on the horizontal line: (24/16) = how much. | <gadget id="calculator">24 / 16</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
ape210k__00302246 | 200 parts are selected from 1000 parts for inspection, and 5 parts are found to be unqualified. What is the pass rate of this batch of parts? | <gadget id="calculator">200 - 5</gadget>
<output>195</output>
<gadget id="calculator">195 / 200</gadget>
<output>39/40 = around 0.975</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(39/40) * 1</gadget>
<output>39/40 = around 0.975</output>
<result>39/40 = around 0.975... | 39/40 | calc |
ape210k__00246785 | The volume and area of the base of a cone are equal to the volume and area of the base of the other cylinder. Given that the height of the cone is 6 cm, what is the height of the other cylinder in cm? | <result>2</result> | 2 | calc |
ape210k__00632958 | Aunt Liu deposited 50,000 yuan in the bank for three years, with an annual interest rate of 4.25%. How much money can Aunt Liu get back after the maturity date? | <gadget id="calculator">4.25 / 100</gadget>
<output>0.0425</output>
<gadget id="calculator">50_000 * 0.0425 * 3</gadget>
<output>6_375</output>
<gadget id="calculator">50_000 + 6_375</gadget>
<output>56_375</output>
<result>56_375</result> | 56_375 | calc |
ape210k__00541363 | The sum of the sides of a cube is 1080cm, and 56.7 liters of water is poured into it. What is the height of the water in the container in dm? | <gadget id="calculator">1_080 / 12 / 10</gadget>
<output>9</output>
<gadget id="calculator">9 * 9</gadget>
<output>81</output>
<gadget id="calculator">56.7 / 81</gadget>
<output>0.7</output>
<result>0.7</result> | 0.7 | calc |
math_qa__DLKcElvfXqTih3OW | After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.55,find the first discount. Pick: A) 22 % B) 18 % C) 24 % D) 17 % E) 20 % | <gadget id="calculator">105 * 100</gadget>
<output>10_500</output>
<gadget id="calculator">100 - 12.55</gadget>
<output>87.45</output>
<gadget id="calculator">10_500 / 87.45</gadget>
<output>120.068611</output>
<gadget id="calculator">150 - 120.068611</gadget>
<output>29.931389</output>
<gadget id="calculator">29.9... | E | calc |
ape210k__00785523 | Walk 2 laps along the edge of the school playground, exactly 300 meters, what is the perimeter of the playground in meters? | <gadget id="calculator">300 / 2</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00299516 | To make a glass aquarium (without cover) with a side length of 8 decimeters, at least how many square decimeters of glass do you need? | <gadget id="calculator">8 * 8 * 5</gadget>
<output>320</output>
<result>320</result> | 320 | calc |
math_qa__Fi94XIbwoGaAHyvo | What is the ratio of 12 minute to 1 hour ? Choose the most appropriate option: A) 1 / 4 B) 3 / 4 C) 1 / 5 D) 2 / 2 E) 3 / 1 | <gadget id="calculator">12 / 60</gadget>
<output>1/5 = around 0.2</output>
<result>C</result> | C | calc |
ape210k__00095992 | Xiao Ming’s speed is 3.6 kilometers per hour when going uphill, and 4.5 kilometers per hour when going downhill. There is a small slope. It takes Xiaoming 1.8 hours to go uphill and then downhill along the original road. What is the length of this slope? rice. | <gadget id="calculator">1.8 * 4.5</gadget>
<output>8.1</output>
<gadget id="calculator">3.6 + 4.5</gadget>
<output>8.1</output>
<gadget id="calculator">8.1 / 8.1</gadget>
<output>1</output>
<gadget id="calculator">3.6 * 1</gadget>
<output>3.6</output>
<result>3.6</result> | 3.6 | calc |
ape210k__00010273 | There is a class with less than 50 people, among them (4/9) play table tennis, (1/4) run, and the rest play football. How many people play football? | <gadget id="calculator">4 * 9</gadget>
<output>36</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (4/9) - (1/4)</gadget>
<output>11/36 = around 0.305556</output>
<gadget id="c... | 11 | calc |
ape210k__00579753 | Xiaohong’s spring cocoon production this year is 450 kg, which is equivalent to (9/8) of last year’s spring cocoon production. How many kilograms was Xiaohong’s spring cocoon production last year? | <gadget id="calculator">9 / 8</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">450 / (9/8)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00526482 | The distance between A and B is 480 kilometers. The bus and the truck meet each other after 4 hours. The bus travels 70 kilometers per hour. How many kilometers per hour does the truck travel? | <gadget id="calculator">480 / 4</gadget>
<output>120</output>
<gadget id="calculator">120 - 70</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00612408 | A concrete brick is 5 decimeters long and wide and 9 centimeters thick. What is its volume? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">5 * 5 * (9/10)</gadget>
<output>45/2 = around 22.5</output>
<result>45/2 = around 22.5</result> | 45/2 | calc |
math_qa__6sTLm2xwwMGhOST7 | A sports equipment store sold ping pong rackets for a total of $735. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? Options.
A) 50 B) 100 C) 490 D) 500 E) 75 | <gadget id="calculator">735 / 9.8</gadget>
<output>75</output>
<result>E</result> | E | calc |
ape210k__00718821 | The scale of a map is 20:1. This scale indicates how much the distance on the map is the actual distance. | <gadget id="calculator">20 / 1</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00461842 | Yucai Primary School has 24 classes with an average of 40 students in each class. They donated a total of 4,800 books to primary schools in impoverished areas. How many books do each person donate on average? | <gadget id="calculator">4_800 / 24 / 40</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00281198 | If two squares with a perimeter of 8 are put together to form a rectangle, what is the perimeter of the rectangle? | <gadget id="calculator">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__LuSDzJVXRSfs1cyQ | A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Options:
A) 600 B) 2877 C) 208 D) 1882 E) 191 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">500 * (1/5)</gadget>
<output>100</output>
<gadget id="calculator">500 + 100</gadget>
<output>600</output>
<result>A</result> | A | calc |
ape210k__00199524 | After converting (8/27) into a decimal, what is the number at the 30th place of the decimal point | <result>6</result> | 6 | calc |
ape210k__00320623 | The railway from Dalian to Changchun is 780 kilometers long, and the two trains depart from the two places at the same time, running towards each other. One of them travels 58 kilometers per hour, and the other travels 72 kilometers per hour. How long did it take to meet? (solution by equation) | <gadget id="calculator">72 + 58</gadget>
<output>130</output>
<gadget id="calculator">780 / 130</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__icQZcZAZJFfoTajX | Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Choose the correct choice from the following choices.
A) 4000 B) 5000 C) 6000 D) 7000 E) 8000 | 10 * 4/100 * 5 * 90/100 = 25/100 * 15/100 * 8/100 * x 10 * 20 * 90 = 15 * 2 * x => x = 6000 ANSWER:6000
<result>C</result> | C | calc |
ape210k__01142559 | There are 24 students in Class 1 of the fourth grade of Qianshan Road Elementary School who have reached the physical education standard, and 12 people who have not reached the standard. | <gadget id="calculator">24 + 12</gadget>
<output>36</output>
<gadget id="calculator">24 / 36</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
ape210k__00432646 | A typist needs to type 720 characters in 8 minutes, how many characters per minute on average? | <gadget id="calculator">720 / 8</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__JYU2u6GPZhDNsZBt | Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are: Options: A) 39, 30 B) 41, 32 C) 42, 33 D) 43, 34 E) 41, 44 | C Let their marks be (x + 9) and x. Then, x + 9 = 56/100(x + 9 + x) 25(x + 9) = 14(2x + 9) 3x = 99 x = 33 So, their marks are 42 and 33.
<result>C</result> | C | calc |
math_qa__tSwINIyGhUFBmbCm | A portion of the 90% solution of chemicals was replaced with an equal amount of 20% solution of chemicals. As a result, 40% solution of chemicals resulted. What part of the original solution was replaced? Choices
A) 5 / 7 B) 6 / 7 C) 9 / 5 D) 13 / 9 E) 13 / 6 | <gadget id="calculator">90 - 40</gadget>
<output>50</output>
<gadget id="calculator">90 - 20</gadget>
<output>70</output>
<gadget id="calculator">50 / 70</gadget>
<output>5/7 = around 0.714286</output>
<result>A</result> | A | calc |
math_qa__2PeSp0MS84eDTmQc | A geometric shape is obtained by combining a square of side 8 cm and a semicircle of diameter 8cm. What is the perimeter of the shape obtained? Choose one
A) 28.32 B) 36.57 C) 44.57 D) 48.93 E) 54.24 | <gadget id="calculator">4 * 8</gadget>
<output>32</output>
<gadget id="calculator">32 - 8</gadget>
<output>24</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">2 * pi * 4</gadget>
<output>8*pi = around 25.132741</output>
<gadget id="calculator">(8*pi) / 2</gadget>
<output>4*... | B | calc |
aqua_rat__dcS0T1YlLx93xGVh | A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $2200, what will be C's share of the earnings? Choose the correct choice from the following.
A) $488.9 B) $480.9 C) $588.9 D) $680.9 E) $788.9 | The dollars earned will be in the same ratio as amount of work done 1 day work of C is 1/12 (or 2/24) 1 day work of the combined workforce is (1/6 + 1/8 + 1/12) = 9/24 C's contribution is 2/9 of the combined effort Translating effort to $ = 2/9 * 2200 = $488.9 hence:$488.9
<result>A</result> | A | calc |
ape210k__00421434 | Shrunk 240 down to what it is 0.24. | <gadget id="calculator">1 / 1_000</gadget>
<output>1/1_000 = around 0.001</output>
<result>1/1_000 = around 0.001</result> | 1/1_000 | calc |
ape210k__00614757 | Divide a 25.12m long iron wire into 2 sections of equal length, one to form a square and the other to form a circle. What percentage is the area of the enclosed square compared to the area of the circle? | <gadget id="calculator">25.12 / 2</gadget>
<output>12.56</output>
<gadget id="calculator">12.56 / 4</gadget>
<output>3.14</output>
<gadget id="calculator">3.14 ** 2</gadget>
<output>9.8596</output>
<gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4... | 0.785 | calc |
ape210k__00580924 | To paint a classroom with a length of 12 meters, a width of 7 meters and a height of 4 meters, the area excluding doors, windows and blackboards is 26 square meters. What is the minimum area to be painted? | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">7 * 4</gadget>
<output>28</output>
<gadget id="calculator">48 + 28</gadget>
<output>76</output>
<gadget id="calculator">2 * 76</gadget>
<output>152</output>
<gadget id="calculator">12 * 7</gadget>
<output>84</output>
<gadget id="ca... | 210 | calc |
aqua_rat__ZT4xBRc5ynJFll16 | Average of 10 matches is 34, How many runs one should should score to increase his average by 5 runs. Choose the most appropriate option: A) A)70 B) B)76 C) C)78 D) D)89 E) E)88 | Explanation: Average after 11 innings should be 39 So, Required score = (11 * 39) - (10 * 34) = 429 - 340=
<gadget id="calculator">429 - 340</gadget>
<output>89</output>
89 Answer: Option 89
<result>D</result> | D | calc |
aqua_rat__S1PBbPbA2VfBhFmZ | The positive number a is q percent greater than the positive number b, which is l percent less than a itself. If a is increased by l percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a Choose the correct choice:
A) I ... | Let q = 10% then l = 100/11 % let b = 100 then a = 110 after increasing a by l and decreasing b yq we get c= 108 therefore c<a III only it is answer
<result>C</result> | C | calc |
aqua_rat__0pqqxuYR9Td72z7L | Stacy has a 63 page history paper due in 3 days. How many pages per day would she have to write to finish on time? Choices.
A) 9
B) 8
C) 10
D) 8.5
E) 21 | 63/3=
<gadget id="calculator">63/3</gadget>
<output>21</output>
21 Answer : 21
<result>E</result> | E | calc |
ape210k__01090183 | A section of road was repaired, and the full length (2/7) was repaired in May. 24km was repaired in June, and half of the total length was left unrepaired. How many kilometers is this road? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 - (1/2) - (2/7)</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">24 / (3/14)</gadget>
<output>112</output>
<result>... | 112 | calc |
ape210k__01112787 | A farm raises 120 geese, chickens are more than geese (3/4), less than ducks (2/7), how many ducks are raised? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">120 * (7/4)</gadget>
<output>210</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculat... | 294 | calc |
aqua_rat__2VLAOuCn6M2fRaxf | When 3 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number? Choose the correct choice from the following answers
A) 32 B) 81 C) 60 D) 27 E) 90 | 90xplanation: Let the number be 3 + 1/2[1/3(a/5)] = a/15 => 3 = a/30 => a = 90 Answer:90
<result>E</result> | E | calc |
ape210k__00355892 | What is the product of the reciprocal of (1/2) and the reciprocal of 0.25? | <gadget id="calculator">2 / 1</gadget>
<output>2</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00393561 | A car travels a total of 450 kilometers in 5 hours. How many kilometers per hour does this car travel on average? | <gadget id="calculator">450 / 5</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__3F9Zi9wHUrt94eR6 | A canteen requires 13 dozen bananas per day. How
many bananas will it require for 9 weeks?
Choose the correct answer
A) 728 B) 9828 C) 1404 D) 9882 E) None | Requirement of bananas for 1 day in the canteen = 13 dozens ∴ Requirement of bananas for 9 weeks i.e. 63 days = 63 × 13 dozens = 63 × 13 × 12 = 9828. Answer 9882
<result>D</result> | D | calc |
ape210k__00325301 | A project can be completed in 25 days by A alone, and 20 days by B alone. After 3 days of joint work, how much of the project is left? | <gadget id="calculator">1 / 25</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/25) + (1/20)</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">(9/100) * 3</gadget>
<output>27/100 = around 0.27</outp... | 73/100 | calc |
ape210k__00173980 | It takes 12 days for two engineering teams, A and B, to complete the construction of a section of road. In actual work, after 8 days of joint repair, A rests, and B continues to work for another 6 days to complete the task. How many days does it take Team B to complete this section of solo training? | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 8</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / 6</gadget>
<output>1/18 = around 0.05555... | 18 | calc |
aqua_rat__T6ySjkfVEC6AXyeU | There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
Choose the correct answer
A) 71 ways B) 8... | We first count the number of committee in which (i). Mr. Y is a member (ii). the ones in which he is not case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member. Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join). We can choose 1 more in5+\inline {\color{Blue} 2... | D | calc |
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