id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__45ud0gDTfXCKTryl | For any non-zero a and b that satisfy |ab| = -ab and |a| = a, |b-3| + |ab-b| = Choose the correct choice from the following choices:
A) ab-4 B) |ab|+4 C) 2a-4b D) b-3ab E) ab+2ab+1 | given |ab|=-ab a*b is negative , |a|=a, so a is positive hence b is negative since ab is negative. assume a=1,b=-1 |b-3|= 4, |ab-b|=2; |b-3|+|ab-b|=6. test case :c) 2a-4b= 6 test a) |-1|-4= -3 test b) 1+4=5 hence corect answer: 2a-4b
<result>C</result> | C | calc |
ape210k__00277944 | Given 3013 consecutive natural numbers, it is known that the average of the smallest number and the largest number is 3013, so what is the smallest number? | <gadget id="calculator">3_013 - 1</gadget>
<output>3_012</output>
<gadget id="calculator">3_012 / 2</gadget>
<output>1_506</output>
<gadget id="calculator">3_013 - 1_506</gadget>
<output>1_507</output>
<result>1_507</result> | 1_507 | calc |
aqua_rat__ZUzU1SzrxXaGJCAE | If the figure 5286.142 is rounded off to the nearest thousand, hundred, ten and one and the result is represented using d,e,f,g respectively, which of the following statements would be accurate? Choose one
A) f>e>g>d B) e>f>g>d C) g>f>e>d D) e>d>g>f E) e>g>f>d | 5286.142.. Nearest thousand 5000..d Nearest hundred 5300..e Nearest ten 5290..f Nearest one 5286..g e>f>g>d The correct option is e>f>g>d
<result>B</result> | B | calc |
ape210k__00399987 | Divide two watermelons equally among 5 children, how many watermelons will each child get? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00589335 | A pile of coal has 480 tons, 20% of it is removed on the first day, and 2/5 of it is removed on the second day, how many tons are left? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/5) - (2/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">220 * (2/5)</gadget>
<output>88</output>
<result>88</resul... | 88 | calc |
ape210k__00628924 | On a map with a scale of 1:6000000, the distance between A and B is 5cm. How many hours does it take for a car to travel from A to B at a speed of 60km/h? | <gadget id="calculator">1 / 6_000_000</gadget>
<output>1/6_000_000 = around 0</output>
<gadget id="calculator">5 / (1/6_000_000) / 100_000 / 60</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00314645 | rectangular woodland is 16 meters long and 5 meters wide. Each square meter of forest produces 75 grams of oxygen per day. How many grams of oxygen can this forest produce per day? | <gadget id="calculator">16 * 5 * 75</gadget>
<output>6_000</output>
<result>6_000</result> | 6_000 | calc |
aqua_rat__LSVVXkjFECbLfh3e | How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 112 m length? Pick one:
A) 82.1 sec B) 12.1 sec C) 16.1 sec D) 11.1 sec E) 12.15sec | Speed = 72 * 5/18=
<gadget id="calculator">72 * 5/18</gadget>
<output>20</output>
20 m/sec Total distance covered= 110 + 112=
<gadget id="calculator">110 + 112</gadget>
<output>222</output>
222 m. Required time= 222/20=
<gadget id="calculator">222/20</gadget>
<output>111/10 = around 11.1</output>
11.1 sec. Ans... | D | calc |
aqua_rat__Xfx5oa1VISM58L6h | Which of the following statements must be true?
1) If x/y is a fraction and y has 17 as one of its prime factors then the resulting decimal will be terminating
2) If x/y is a fraction where 2 and 5 are the only two prime factors of y then the resulting decimal will be terminating.
3) If x/y is a fraction such that y=(1... | Statement 3: Let's try some examples: 1/9 = 0.11111..... 23/99 = 0.2323232323..... 61/999 = 0.061061061061061..... Statement 3 is always true. Statement 4: I think first year is implied by the word "first". Let's take principal = 100 and interest rate = 20% Compound interest after 1 year = 100*(1+1/5) - 1... | B | calc |
ape210k__00135918 | A pencil is 7 cents more expensive than an eraser, and a ballpoint pen can buy 11 pencils. It is known that an eraser is 8 cents, how much is a ballpoint pen? | <gadget id="calculator">7 + 8</gadget>
<output>15</output>
<gadget id="calculator">15 * 11</gadget>
<output>165</output>
<result>165</result> | 165 | calc |
aqua_rat__dsIYzu0Z63pJHCER | A garrison of 400 men had a provision for 31 days. After 26 days 275 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient? Pick:
A) 16 days B) 45 days C) 10 days D) 17 days E) 18 days | 400 --- 31 400 --- 5 125 --- ? 400*5 = 125*x => x =16 days. 16 daysnswer: 16 days
<result>A</result> | A | calc |
ape210k__00245233 | There are 7 apples on a big tree, 3 of which are eaten by insects, how many are left? | <gadget id="calculator">7 - 3</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01156421 | Insist on writing two brush characters every day, how many brush characters can you write in February 2008? | <gadget id="calculator">2 * 29</gadget>
<output>58</output>
<result>58</result> | 58 | calc |
math_qa__2Gb0Ysa5yLasHL6V | Kanul spent $5000 in buying raw materials, $200 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount? Select the correct option.
A) $ 7456.00 B) $ 7500.55 C) $ 7428.57 D) $ 7852.56 E) $ 7864.00 | <gadget id="calculator">5_000 + 200</gadget>
<output>5_200</output>
<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">5_200 / (7/10)</gadget>
<output>52_000/7 = around 7_428.571429</outpu... | C | calc |
ape210k__00240371 | Xiaomai is m years old, Xiao Qiao is 2 years older than Xiaomai, and 4 years younger than Xiaolan. Xiaolan's age is m+how old. | <gadget id="calculator">2 + 4</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__UL86nVpGUWoGISh2 | A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 more than D, what is B’s share? Select the correct option:
A) 500 B) 1500 C) 2000 D) 1400 E) None of these | Let the shares of A, B, C and D be 5x, 2x, 4x, 3x respectively. Then, 4x – 3x = 1000 ⇒ x = 1000 ∴ B’s Share = 2x = 2000 Answer 2000
<result>C</result> | C | calc |
aqua_rat__tlkU0aJT1cRYIHsB | How many meaningful English words can be formed with the letters ESRO using each letter only once in each word?
Choose the correct choice from the following answers:
A) 1 B) 3 C) 4 D) 8 E) 9 | Explanation: Meaningful words are ROSE, SORE and EROS. Note the meaning of the words SORE and EROS with the help of dictionary. Answer: 3) Three
<result>B</result> | B | calc |
ape210k__00379935 | The area of a square is 64 square meters. If the length of one side of the square is reduced by 2 times and the length of the other side is increased by 3 times, what is the area of the new rectangle? | <gadget id="calculator">64 / 2</gadget>
<output>32</output>
<gadget id="calculator">32 * 3</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00602656 | A 72 cm long iron wire is made into a cube frame, what is its surface area in square centimeters? | <gadget id="calculator">72 / 12</gadget>
<output>6</output>
<gadget id="calculator">6 * 6 * 6</gadget>
<output>216</output>
<result>216</result> | 216 | calc |
ape210k__01120647 | (2/3) of number A is equal to (3/4) of number B, how much more number A is than number B. | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(2/3) / (3/4)</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">1 * (8/9)</gadget>
<output>8/9 = around 0.888889</outpu... | 1/8 | calc |
ape210k__01029887 | The side area of a cylinder is 25.12cm**2, the circumference of the bottom is 6.28cm, what is the volume of this cylinder in cm**3. | <gadget id="calculator">6.28 / 3.14 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">25.12 / 6.28</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 1 * 4</gadget>
<output>12.56</output>
<result>12.56</result> | 12.56 | calc |
ape210k__00704909 | How much is it to move the decimal point of 1.65 two places to the left and multiply it by 1000 times? | <gadget id="calculator">1.65 / 100</gadget>
<output>0.0165</output>
<gadget id="calculator">0.0165 * 1_000</gadget>
<output>16.5</output>
<result>16.5</result> | 16.5 | calc |
ape210k__00353191 | The transport team transported a batch of building materials to the construction site. On the first day, what was transported was 15 tons less than 30% of the total, on the second day it was 20 tons more than 40% of the total, and on the third day the last 49 tons were transported. How many tons are there in total for ... | <gadget id="calculator">20 - 15</gadget>
<output>5</output>
<gadget id="calculator">49 + 5</gadget>
<output>54</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (3/10) - (2/5)<... | 180 | calc |
ape210k__00562689 | The ratio of inventory tonnage between warehouses A and B is 4:3. If warehouse A takes out 8 tons and puts them in warehouse B, the ratio of inventory tonnage between warehouses A and B is 4:5. How many tons does warehouse A have in stock now? (proportional solution) | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 8</gadget>
<output>32/5 = around 6.4</output>
<gadget id="calculator">8 + (32/5)</gadget>
<output>72/5 = around 14.4</output>
<gadget id="calculator">(4/5) * 3</gadget>
<output>12/5 = around 2.4</output>
<gadget... | 28 | calc |
ape210k__00260774 | Draw 30 straight lines arbitrarily in the plane. How many parts can these straight lines divide the plane at most? | <gadget id="calculator">1 + 465</gadget>
<output>466</output>
<result>466</result> | 466 | calc |
math_qa__ifc2bNiuyQ1jczs0 | a will states that the estate would be divided among 6 sons with the remainder donated to charity . one stipulation in the will is that no one among the sons can receive an amount within 12 % of another ' s amount . if one of the beneficiaries received $ 30000 , what is the smallest possible range between the highest a... | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">30_000 * (3/25)</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 * 4</gadget>
<output>14_400</output>
<result>B</result> | B | calc |
ape210k__00629073 | From 1 to 2015, how many numbers can be selected so that the sum of any two of these numbers is divisible by 26? | <gadget id="calculator">26 * 3</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
ape210k__00020355 | A city charges monthly water fees according to the following regulations: if the water used by each household does not exceed 20 cubic meters per month, the water price will be charged at 1.2 yuan per cubic meter; if it exceeds 20 cubic meters, the excess part will be charged at 2 yuan per cubic meter. If the average w... | <gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">20 * 1.2</gadget>
<output>24</output>
<gadget id="calculator">40 - 24</gadget>
<output>16</output>
<gadget id="calculator">2 - 1.5</gadget>
<output>0.5</output>
<gadget id="calculator">16 / 0.5</gadget>
<output>32</output>
<result>... | 32 | calc |
aqua_rat__z83QPdEwXSP6iZHs | A Katiland's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Katiland's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Katiland's to travel 850 kilometers?
Pic... | Difference in time = time taken by passenger train- time taken by Katiland's train 850/(250*68) *100 - 850/250 850 (100/ 250*68 - 1/250) 850*32/ (250*68) 1.6 hrs or 1 hr and 36 mins 1 hour and 36 minutes. is the answer
<result>B</result> | B | calc |
ape210k__00025153 | The base length of an isosceles right triangle is 24cm, what is its area in cm**2. | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">24 * 12</gadget>
<output>288</output>
<result>288</result> | 288 | calc |
ape210k__00002286 | A person receives a salary of 240 yuan, there are 2 yuan, 5 yuan, and 10 yuan, a total of 50 pieces of RMB, and the number of 2 yuan and 5 yuan pieces is the same, so how many pieces of 10 yuan are there? | <gadget id="calculator">260 / 13</gadget>
<output>20</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00011797 | Two ropes of the same length, after cutting (1/2) meter from the first one and cutting (1/2) from the second one, the remaining ropes are of the same length, how many meters are the lengths of the two ropes | <result>1</result> | 1 | calc |
aqua_rat__ZtznnSyBphN8HkpX | 300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Choose the correct choice:
A) 10 B) 12 C) 14 D) 16 E) 17 | 26 trees have 25 gaps between them, Required distance (300/25)=
<gadget id="calculator">(300/25)</gadget>
<output>12</output>
12 12
<result>B</result> | B | calc |
aqua_rat__pKUivAPXeIOpNcZ8 | Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choose the correct choice f... | Total # of outfits = 12 * 10 * 8=
<gadget id="calculator">12 * 10 * 8</gadget>
<output>960</output>
960 Answer - 960
<result>E</result> | E | calc |
aqua_rat__VGIqoSnI3ZxodeaV | A can do a work in 15 days B in 14 days and C in 16 days . If they work on it together then in how many days required to complete the work? Options: A) 3360/210 B) 3360/21 C) 3360/674 D) 3360/240 E) 3360/224 | Person ( A ) ( B ) ( 3360/674 ) (A+B+3360/674) Time - (15) ( 14 ) (16) Rate - (224) (240) (210) (674) Work - (3360) (3360) (3360) (3360) therefore A+B+3360/674 requires (3360/674) days to complete entire work = 3360/674 Answer is 3360/674
<result>C</result> | C | calc |
ape210k__00090653 | A circular pool has a circumference of 188.4 meters, and now it needs to be widened by 1 meter around it. How many square meters does the widened area increase from the original area? | <gadget id="calculator">188.4 / 3.14 / 2</gadget>
<output>30</output>
<gadget id="calculator">30 + 1</gadget>
<output>31</output>
<gadget id="calculator">31 ** 2</gadget>
<output>961</output>
<gadget id="calculator">3.14 * 961</gadget>
<output>3_017.54</output>
<gadget id="calculator">30 ** 2</gadget>
<output>900</... | 191.54 | calc |
ape210k__00489324 | It takes (6/5) minutes for a car to pass through a 1.5 km long tunnel. At this speed, how many kilometers per hour does the car travel? | <gadget id="calculator">1.5 / 0.02</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__01058223 | Xiao Hua has 4 different science and technology books and 3 different story books. In a book donation activity for poor schools, he planned to donate one science and technology book and one story book. How many different donation methods did he have? | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__bRS7jnDQw9bmDZle | A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km. Options:
A) 16
B) 18
C) 32
D) 19
E) 12 | Total time taken = x/40 + 2x/20 hours = 5x/40 = x/8 hours Average speed = 4x/(x/8) = 32 kmph Answer: 32
<result>C</result> | C | calc |
ape210k__00411230 | a is a natural number not equal to 0, the largest result of the following formula is a+how much | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
aqua_rat__kg2G7ipFpoM0MXyZ | The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct choice from the following answers
A) 10 kmph B) 67 kmph C) 22 kmph D) 20 kmph E) 12 kmph | Speed of the boat in still water = (40+80)/2=
<gadget id="calculator">(40+80)/2</gadget>
<output>60</output>
60 kmph. Speed of the stream= (80-40)/2=
<gadget id="calculator">(80-40)/2</gadget>
<output>20</output>
20 kmph. Answer:20 kmph
<result>D</result> | D | calc |
gsm8k__i6jY252AEXVyXGWB | There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter? | 15/3=
<gadget id="calculator">15/3</gadget>
<output>5</output>
5 cats were adopted out of 15.
There were 15-5 =
<gadget id="calculator">15-5</gadget>
<output>10</output>
10 cats left
5*2=
<gadget id="calculator">5*2</gadget>
<output>10</output>
10 more cats were added.
This makes 10+10=
<gadget id="calculator">10+10</... | 60 | calc |
ape210k__00481509 | The number A is 5 times the number B, and the number B is the number A. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00162088 | A project can be completed in 15 days by A alone, and 10 days by B alone. If A and B cooperate with each other, and B rests for 7 days during the construction period, how many days can it be completed? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 7</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) + 1</gadget>
<output>17/10 = around 1.7</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<g... | 51/5 | calc |
ape210k__00483870 | Xiao Ming's report card was accidentally torn. His average test score was 85, including 83 in Chinese and 82 in mathematics. What is his English score? | <gadget id="calculator">85 * 3</gadget>
<output>255</output>
<gadget id="calculator">255 - 83 - 82</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00068731 | A movie theater has a total of 812 seats, and the ticket price is 15 yuan. All the tickets for this show are sold out. How much is the income of this movie? | <gadget id="calculator">812 * 15</gadget>
<output>12_180</output>
<result>12_180</result> | 12_180 | calc |
aqua_rat__mAAzfZZFglqL98Q7 | Vanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address? Choose the correct opti... | Total Vanya# of ways - 4! = 24. 1/3esired: A-Mapped to the only correct address----------x 1 way only B-Mapped to other two incorrect addresses - x 2 ways C-Mapped to other two incorrect addresses - x 2 ways 1/3-Mapped to other two incorrect addresses - x 2 ways Therefore, 1*2*2*2/24 = 1/3.?
<result>D</resu... | D | calc |
ape210k__00551286 | Xiao Shan and Xiao Dun walked from point A to point B at the same time at a speed of 73 meters per minute and 83 meters per minute respectively, while the doctor walked from point B to point A at a speed of 57 meters per minute. The doctor met Xiaodun 5 minutes later and then met Xiaoshan. So, how many meters is the di... | <gadget id="calculator">73 + 57</gadget>
<output>130</output>
<gadget id="calculator">57 * 5</gadget>
<output>285</output>
<gadget id="calculator">83 * 5</gadget>
<output>415</output>
<gadget id="calculator">285 + 415</gadget>
<output>700</output>
<gadget id="calculator">83 - 73</gadget>
<output>10</output>
<gadge... | 9_100 | calc |
math_qa__Y4E9qyWJniWdngA7 | n^(n/2)=6 is true when n=6 in the same way what is the value of n if n^(n/2) =10?
Choose the correct option
A) 8
B) 12
C) 10
D) 16
E) 18 | <gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">100 / 10</gadget>
<output>10</output>
<result>C</result> | C | calc |
math_qa__AmMrF4gtcy4Dzsgm | 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? Pick:
A) 4 B) 6 C) 10 D) 15 E) 20 | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>B</result> | B | calc |
ape210k__00819893 | When Zhang Bin was doing the calculation problem (1800-M)/25+192, he did not pay attention to the parentheses in the problem. First, he divided M by 25, and then did the subtraction and addition. The result was 1968. What should be the correct answer for this question? | <gadget id="calculator">1_968 - 192</gadget>
<output>1_776</output>
<gadget id="calculator">1_800 - 1_776</gadget>
<output>24</output>
<gadget id="calculator">24 * 25</gadget>
<output>600</output>
<gadget id="calculator">1_800 - 600</gadget>
<output>1_200</output>
<gadget id="calculator">1_200 / 25</gadget>
<output... | 240 | calc |
ape210k__00036400 | The garment factory produced a batch of school uniforms. It was originally planned to be completed in 15 days, but it actually produced 30 more sets per day than planned. Therefore, it was completed 3 days earlier than planned. How many sets of this batch of school uniforms are there? | <gadget id="calculator">15 - 3</gadget>
<output>12</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">30 * 4 * 15</gadget>
<output>1_800</output>
<result>1_800</result> | 1_800 | calc |
ape210k__00308312 | Xiaohua's height is 135 cm, Xiaolong is taller than Xiaohua (1/9), how many centimeters is Xiaolong's height? | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 + (1/9)</gadget>
<output>10/9 = around 1.111111</output>
<gadget id="calculator">135 * (10/9)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__01222417 | There are two squares. The area of the first square is 121 square meters. The side length of the second square is equal to 5 times the side length of the first square. Find the area of the second square. | <gadget id="calculator">11 * 5</gadget>
<output>55</output>
<gadget id="calculator">55 * 55</gadget>
<output>3_025</output>
<result>3_025</result> | 3_025 | calc |
ape210k__00135783 | Lulu 24 cans per box. How much does it cost to buy 2 boxes? 2.5 yuan / listen. | <gadget id="calculator">24 * 2 * 2.5</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00501841 | The base of a parallelogram is 24 decimeters and the height is 8 meters. What is the area of this parallelogram? | <gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">24 * 80</gadget>
<output>1_920</output>
<result>1_920</result> | 1_920 | calc |
aqua_rat__3l6DBn4YZQUC6Z9b | John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount? Choose the most appropriate option
A) $18.44 B) $28.44 C) $48.44 D) $58.44 E) $38.44 | let x be the price before the first discount. The price after the first discount is x - 25%x (price after first discount) A second discount of 25% of the discounted price after which the final price is 16 (x - 25%x) - 25%(x - 25%x) = 16 Solve for x x = $28.44 correct answer $28.44
<result>B</result> | B | calc |
ape210k__00251998 | Put 3 red chopsticks, 9 yellow chopsticks, 18 green chopsticks and 1 black chopsticks in a cloth bag, at least how many chopsticks can be found in the dark to ensure that there are two pairs of chopsticks of the same color. | <gadget id="calculator">4 + 2 + 1 + 1 + 2 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00030790 | Zhang Hua bought 25 boxes of cold capsules at the Daming Pharmacy for 925 yuan. When he came to the medicine wholesale market, he learned that the wholesale price was 30 yuan per box. How much cheaper is the wholesale price per box than the retail price? | <gadget id="calculator">925 / 25</gadget>
<output>37</output>
<gadget id="calculator">37 - 30</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
math_qa__i3t84mXXFxCjlQMg | A jar of 144 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today? Choose the correct choice:
A) 12 B) 14 C) 16 D) 18 E) 20 | <gadget id="calculator">144 * 2</gadget>
<output>288</output>
<gadget id="calculator">288 * 4</gadget>
<output>1_152</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1_152 + 4</gadget>
<output>1_156</output>
<gadget id="calculator">1_156 ** (1/2)</gadget>
<output>34</outpu... | C | calc |
ape210k__00382761 | Xiaohua is 9 years old this year, and his grandfather is 9 times his age. How old is his grandfather? | <gadget id="calculator">9 * 9</gadget>
<output>81</output>
<result>81</result> | 81 | calc |
math_qa__PDgyraFSCWBE6TL6 | Given the two equations 3x + 2y = 16 and 5x + 3y = 26, by how much does r exceed s? Select the correct option: A) 3 B) 4 C) 5 D) 1 E) 2 | <gadget id="calculator">16 * 2</gadget>
<output>32</output>
<gadget id="calculator">32 / 16</gadget>
<output>2</output>
<result>E</result> | E | calc |
aqua_rat__vgSkNjchq9Sp43ww | If a man buys 100 biscuits for $900 and sold them for $10 dollars determine his gain. Choose the correct choice from the following answers: A) $ 100 B) $ 90 C) $ 80 D) $110 E) $ 115 | Cost of 100 biscuits = $90 Sold each biscuits for $10 So he sold 100 biscuits for $(100 × 10) = $1000 Loss = $(1000 – 900) = $100 Therefore, gain = $ 100. $ 100nswer:$ 100
<result>A</result> | A | calc |
ape210k__00999549 | Mother is younger than father (1/12), and father is 3 years older than mother. What is mother's age? | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">3 / (1/12)</gadget>
<output>36</output>
<gadget id="calculator">36 - 3</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
aqua_rat__vsoGWcHesQra7YA6 | How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?
Choose the correct answer:
A) 1
B) 2
C) 3
D) 4
E) none of these | A number ending in 8 can never be a perfect square. Answer: none of these
<result>E</result> | E | calc |
ape210k__00449785 | A total of 180 trees were planted in Jingyou Village this year, 20 of which did not survive, and another 20 were replanted immediately, and all of them survived. What is the survival rate of these trees? | <gadget id="calculator">180 - 20</gadget>
<output>160</output>
<gadget id="calculator">160 + 20</gadget>
<output>180</output>
<gadget id="calculator">180 + 20</gadget>
<output>200</output>
<gadget id="calculator">180 / 200</gadget>
<output>9/10 = around 0.9</output>
<result>9/10 = around 0.9</result> | 9/10 | calc |
ape210k__00187197 | There is a pile of wheat, approximately conical, with a base circumference of 12.56 meters and a height of 1.5 meters. A cubic meter of wheat weighs 700 kilograms. How many kilograms does this pile of wheat weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">12.56 / 6.28</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(1/3) * 3.14 * 4 * 1.5 * 7... | 4_396 | calc |
ape210k__00041346 | There is a rectangular grassland with an area of 180 square meters in the park, and the width of the grassland is 9 meters. If the length is increased to 60 meters and the width remains the same, how many square meters is the expanded grass area? | <gadget id="calculator">180 / 9</gadget>
<output>20</output>
<gadget id="calculator">60 / 20</gadget>
<output>3</output>
<gadget id="calculator">180 * 3</gadget>
<output>540</output>
<result>540</result> | 540 | calc |
ape210k__00292088 | A cylindrical grain hoard filled with wheat has a bottom area of 3.5 square meters and a height of 1.8 meters. If the wheat is piled into a conical pile with a height of 1.5 meters, how many square meters does it cover? | <gadget id="calculator">3.5 * 1.8</gadget>
<output>6.3</output>
<gadget id="calculator">3 / 1.5</gadget>
<output>2</output>
<gadget id="calculator">6.3 * 2</gadget>
<output>12.6</output>
<result>12.6</result> | 12.6 | calc |
ape210k__00214270 | 1964*((1/43)-(1/2007))+43*((1/1964)-(1/2007))-2007*((1/1964)+(1/43))+3= How many. | <gadget id="calculator">1 / 43</gadget>
<output>1/43 = around 0.023256</output>
<gadget id="calculator">1 / 2_007</gadget>
<output>1/2_007 = around 0.000498</output>
<gadget id="calculator">(1/43) - (1/2_007)</gadget>
<output>1_964/86_301 = around 0.022758</output>
<gadget id="calculator">1_964 * (1_964/86_301)</gad... | 0 | calc |
ape210k__00293202 | In a cuboid with a height of 25 cm, if its height is shortened by 5 cm, the surface area will be reduced by 40 cm2. The base of this cuboid is a square. What is the area of the base. | <gadget id="calculator">40 / 4 / 5</gadget>
<output>2</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00542940 | Kobayashi wrote eight scores, five of which are known to be (8/77), (33/317), (23/222), (3/29), (19/183), if these eight scores The fourth fraction in descending order is (3/29), then what is the third fraction in descending order. | <gadget id="calculator">19 / 183</gadget>
<output>19/183 = around 0.103825</output>
<result>19/183 = around 0.103825</result> | 19/183 | calc |
ape210k__00218561 | If you use square bricks to pave the floor of a classroom, if you use square bricks with a side length of 80 cm, you need 100 pieces. If you use square bricks with a side length of 50 cm instead, how many pieces are needed? (answer with ratio) | <gadget id="calculator">80 * 80 * 100</gadget>
<output>640_000</output>
<gadget id="calculator">50 * 50</gadget>
<output>2_500</output>
<gadget id="calculator">640_000 / 2_500</gadget>
<output>256</output>
<result>256</result> | 256 | calc |
ape210k__00415086 | classroom is 10m long, 8m wide, 4m high, and the total area of doors and windows is 15m**2. To paint this classroom, what is the area to be painted in m**2? | <gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<gadget id="calculator">40 + 32</gadget>
<output>72</output>
<gadget id="calculator">72 * 2</gadget>
<output>144</output>
<gadget id="ca... | 209 | calc |
ape210k__00394632 | The base of a triangular garden is 46 meters long and 6 meters greater than the height. What is the area of the garden in square meters? | <gadget id="calculator">46 - 6</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">46 * 20</gadget>
<output>920</output>
<result>920</result> | 920 | calc |
ape210k__00339569 | Solve the equation: (3/10)*5+3x=45. | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 5</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">45 - (3/2)</gadget>
<output>87/2 = around 43.5</output>
<gadget id="calculator">(87/2) / 3</gadget>
<output>29/2 = around 14.5</output>
<re... | 29/2 | calc |
ape210k__00232466 | After the 80-ton cargo is increased by 20%, what is the result in tons? | <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">80 * (6/5)</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00211216 | 4 small sticks of 2 cm are placed in a square, what is the perimeter of the square in cm | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00281052 | How many ways can a rectangle be made from 12 identical squares? | <result>3</result> | 3 | calc |
ape210k__00927613 | Three bags of milk are 750 ml, how many bags of this milk is 2 liters. | <gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">750 / 3</gadget>
<output>250</output>
<gadget id="calculator">2_000 / 250</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00394186 | Uncle Wang brought 700 yuan to buy fertilizer. He bought 16 bags and left 60 yuan. How much is each bag of fertilizer? | <gadget id="calculator">700 - 60</gadget>
<output>640</output>
<gadget id="calculator">640 / 16</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__RGx1a3gGn5ekTQW4 | In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Choose the correct answer: A) $130 B) $220 C) $190 D) $200 E) $150 | Let x be the price of one shirt, y be the price of one pair of trousers and z be the price of one hat. 4x + 4y + 2z = 560 : 9x + 9y + 6z = 1,290 3x + 3y + 2z = 430 : divide all terms of equation C by 3 x + y = 130 : subtract equation D from equation B 3(x + y) + 2z = 430 : equation D with factored terms. 3*... | E | calc |
ape210k__01042443 | 3 trucks transported a total of 480 bottles of purified water. According to this calculation, how many bottles can be transported in total by adding 5 trucks? | <gadget id="calculator">480 / 3</gadget>
<output>160</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">160 * 8</gadget>
<output>1_280</output>
<result>1_280</result> | 1_280 | calc |
ape210k__01060719 | Today, Tiantian Fruit and Vegetables shipped a total of 50kg of mangoes and pineapples, of which 20kg were mangoes. How much did the kilograms of pineapples account for in the total number of fruits shipped? | <gadget id="calculator">50 - 20</gadget>
<output>30</output>
<gadget id="calculator">30 / 50</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
math_qa__jhrcn07nbYJrZPvn | Find (7x + 5y ) / (x-2y) if x/2y = 3/2 ? Choose the correct choice from the following options.
A) 24 B) 25 C) 26 D) 27 E) 29 | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) * 2</gadget>
<output>3</output>
<gadget id="calculator">3 * 7</gadget>
<output>21</output>
<gadget id="calculator">21 + 5</gadget>
<output>26</output>
<gadget id="calculator">3 - 2</gadget>
<output>1</output>
<ga... | C | calc |
aqua_rat__ATx4s7BTLyYAArx7 | Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir? Choose the correct answer: A) 39 B) 23 C) 20 D) 27 E) 26 | 1/x + 1/(x + 10) = 1/12 x = 20 Answer:20
<result>C</result> | C | calc |
aqua_rat__1KwCqafKgiWTzNe0 | Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 4 as quotient and the 15 as remainder Answers
A) 1235 B) 1346 C) 1378 D) 1635 E) 1815 | Let the smaller number be x. Then larger number = (x + 1365). x + 1365 = 4x + 15 3x = 1350 x = 450 Large number = 450+1365=
<gadget id="calculator">450+1365</gadget>
<output>1_815</output>
1815 1815
<result>E</result> | E | calc |
ape210k__00031939 | Each box of chalk is 1 yuan, 30 cents and 4 cents, and each bottle of ink is 6 cents and 2 cents. The school bought 6 boxes of chalk and 5 bottles of ink. How much did it cost? | <gadget id="calculator">1.34 * 6</gadget>
<output>8.04</output>
<gadget id="calculator">0.62 * 5</gadget>
<output>3.1</output>
<gadget id="calculator">8.04 + 3.1</gadget>
<output>11.14</output>
<result>11.14</result> | 11.14 | calc |
aqua_rat__bs3f0xgtcn8V4miV | Certain stocks in January were 30% greater than they were in February and 20% lesser than they were in March. What was the percentage decrease in the stocks from February to March?
Choose the correct choice from the following answers:
A) 44% B) 30% C) 40% D) 47.5% E) 50% | Let stocks value in Feb = 100 => In Jan = 70 and March = 70 * 80/100=
<gadget id="calculator">70 * 80/100</gadget>
<output>56</output>
56 Thus, percent decrease in stocks from Feb to March= 100 - 56=
<gadget id="calculator">100 - 56</gadget>
<output>44</output>
44% Hence 44%nswer is 44%
<result>A</result> | A | calc |
ape210k__00917603 | If the area of a parallelogram is 45 square decimeters, what is the area of a triangle with the same base and height? | <gadget id="calculator">45 / 2</gadget>
<output>45/2 = around 22.5</output>
<result>45/2 = around 22.5</result> | 45/2 | calc |
aqua_rat__9ObKlpR7hqFuRAwY | A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior? Choices.
A) ²²Câ‚â‚€ B) ²²Câ‚â‚€+1 C) ²²C₉ + ¹â°Câ‚ D) ²²Câ‚â‚€ - 1 E) None of these | Explanation: The total number of ways of forming the group of ten representatives is ²²Câ‚â‚€. The total number of ways of forming the group that consists of no seniors is ¹â°Câ‚â‚€ = 1 way The required number of ways = ²²Câ‚â‚€ - 1 ANSWER IS ²²Câ‚â‚€ - 1
<result>D</result> | D | calc |
aqua_rat__3hwGN8b1LQuS56cc | The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 432 sq meters, then what is the width (in meters) of the rectangular plot? Choices: A) 10 B) 11 C) 12 D) 13 E) 14 | Area = L*W = 3W^2 = 432 W^2 = 144 W = 12 The answer is 12.
<result>C</result> | C | calc |
ape210k__00232469 | In a test, Zhang Liangwei scored 80 points in mathematics, and Liu Renjie scored 1/8 more than Zhang Liangwei. How many points did Liu Renjie score? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">80 * (9/8)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__PSgsDqrBSG5HtQyd | A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choose the correct choice from the following choices:
A) Rs.500 B) Rs.250 C) Rs.205 D) Rs.5062.50 E) None of these. | Let the principal be Rs.P S.I at 5% p.a in 8 years on Rs.P = Rs.400 (P)(8)(5)/100 = 400 P = 1000 Rs.205.I on Rs.2P i.e., Rs.2000 at 5% p.a in two years =2000{ [1 + 5/100]2 - 1} = 2000{ 212 - 202 /202} = Rs.205 ANSWER:Rs.205
<result>C</result> | C | calc |
ape210k__00062476 | tape recorder is 485 yuan. Teacher Wang bought 2 sets and paid 1,000 yuan. How much should I get back? | <gadget id="calculator">485 * 2</gadget>
<output>970</output>
<gadget id="calculator">1_000 - 970</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__Bj5ehW9lNrfsCEVN | The calendar of the year 2080 can be used again in the year? Answers:
A) 2105 B) 1955 C) 1945 D) 1935 E) 2108 | Explanation: Given year 2080 when divided by 4, leaves a remainder 0. NOTE: When remainder is 0, 28 is added to the given year to get the result. So, 2080 + 28 = 2108 Answer: 2108
<result>E</result> | E | calc |
ape210k__00484515 | A car departs at 5:50 am and arrives at the terminal at 4:50 pm. The car travels an average of 35 kilometers per hour. How many kilometers has the car traveled in total? | <gadget id="calculator">35 * 11</gadget>
<output>385</output>
<result>385</result> | 385 | calc |
ape210k__00130352 | certain elementary school held a spring sports meeting. The teacher of Class 1 of the sixth grade gave the sports committee 100 yuan to buy chocolates and mineral water in the supermarket, and asked everyone in the class to have at least one bottle of mineral water and each athlete to have at least one piece of chocola... | <result>3</result> | 3 | calc |
aqua_rat__MU2iCHFArNvNDHfV | find cp when sp=rs51.70:loss=12%
Choose the correct choice from the following options
A) Rs 58.75 B) Rs 88.75 C) Rs 68.75 D) Rs 98.75 E) Rs 78.75 | cp=Rs{(100/88)*51.87}=Rs58.75 Rs 58.75nswer is Rs 58.75.
<result>A</result> | A | calc |
ape210k__01021681 | Huaian Food Factory produced 4.5 tons of biscuits in January, and every month thereafter produced 0.25 tons more than the previous month. How many tons of biscuits did the food factory produce in the first quarter? | <gadget id="calculator">0.25 * 2</gadget>
<output>0.5</output>
<gadget id="calculator">4.5 + 4.5 + 0.25 + 4.5 + 0.5</gadget>
<output>14.25</output>
<result>14.25</result> | 14.25 | calc |
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