id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00808933 | There are 106 peach trees in the orchard, and 38 fewer pear trees than peach trees. How many pear trees are there? | <gadget id="calculator">106 * 4</gadget>
<output>424</output>
<gadget id="calculator">424 - 38</gadget>
<output>386</output>
<result>386</result> | 386 | calc |
ape210k__00113800 | 12.5*5.7+220*0.125+1.25= | <gadget id="calculator">12.5 * 5.7</gadget>
<output>71.25</output>
<gadget id="calculator">220 * 0.125</gadget>
<output>27.5</output>
<gadget id="calculator">71.25 + 27.5 + 1.25</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00028556 | What is the smallest number that leaves a remainder of 1 when divided by 6 and 8? | <gadget id="calculator">2 * 3 * 4</gadget>
<output>24</output>
<gadget id="calculator">24 + 1</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__2N0jjAYOrpCqbRwM | The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.850 find the number of laborers? Options.
A) 14 B) 15 C) 16 D) 17 E) 18 | 2450 850 \ / 1250 / \ 400 1200 1:3 1-->6 3-->? 18 ANSW18R:18
<result>E</result> | E | calc |
math_qa__Fgvqepy065Ge7wdK | In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price
remains constant, approximately what percentage of the selling price is the profit Choose the correct choice from the following answers: A) 67 % B) 80 % C) 90 % D) 100 % E) none of above | <gadget id="calculator">100 + 320</gadget>
<output>420</output>
<gadget id="calculator">100 + 40</gadget>
<output>140</output>
<gadget id="calculator">420 - 140</gadget>
<output>280</output>
<gadget id="calculator">280 / 420</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 100</gadget... | A | calc |
ape210k__01167361 | Mr. Wang went to the Bank of Communications to withdraw money. The first time he withdrew half of the deposit, there was an extra 6 yuan, and the second time he withdrew the remaining half, an extra 8 yuan. At this time, there was still 100 yuan left. How much was Mr. Wang’s original deposit? | <gadget id="calculator">100 + 8</gadget>
<output>108</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">108 / (1/2)</gadget>
<output>216</output>
<gadget id="calculator">216 + 5</gadget>
<output>221</output>
<gadget id="calculator">221 / (1/2)</gadget>
<output>... | 442 | calc |
ape210k__00139818 | The result of shrinking 347 to (1/10) of the original number is the same as expanding 0.347 to its multiple. | <result>100</result> | 100 | calc |
math_qa__1uZSmTPYHcCasHfV | What is the average of first 21 multiples of 5 ? Choose the correct option:
A) 70 B) 77 C) 55 D) 81 E) 82 | <gadget id="calculator">21 + 1</gadget>
<output>22</output>
<gadget id="calculator">21 * 22</gadget>
<output>462</output>
<gadget id="calculator">462 / 2</gadget>
<output>231</output>
<gadget id="calculator">231 / 21</gadget>
<output>11</output>
<gadget id="calculator">11 * 5</gadget>
<output>55</output>
<result>C... | C | calc |
aqua_rat__e1Xj3nYOfxAGHV6a | Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 9% sugar. What percentage of the gallon is dye? Choose the most appropriate option:
A) 6
B) 6.5
C) 7.2
D) 8
E) 24 | The proportion of Dye and sugar will remain constant. Dye/Sugar = (4/9)/(5/9) = x/9 => 4/5 = x/9 => x = 4*9/5 = 7.2. Answer is 7.2.
<result>C</result> | C | calc |
ape210k__00203004 | One day at 8 o'clock in the morning, A starts from point A, while B sets off from point B to chase A, and ends up catching up at a distance of 9 kilometers from point B. If B doubles the speed, but A's speed remains the same, or B If you start 40 minutes earlier, you will catch up 2 kilometers away from B. What is the ... | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">(6/7) * 4.2</gadget>
<output>3.6</output>
<result>3.6</result> | 3.6 | calc |
ape210k__00907755 | Xiao Ming buys x diaries, 2.8 yuan each, and pays 10 yuan, how much money will he get back? | <gadget id="calculator">10 - 2.8</gadget>
<output>7.2</output>
<result>7.2</result> | 7.2 | calc |
mawps__zXQxlqScbzyKEPim | James had 120 Bread. Jon took 20 from him. Now How many Bread James have take away? | <gadget id="calculator">120 - 20</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__fmJqSxa7Glf5NVDA | In how many ways can a five-letter password be chosen, using the letters A, B, C, D, E, F, G, and/or H such that at least one letter is repeated within the password? Pick one: A) 720 B) 864 C) 900 D) 936 E) 26048 | Total number of four letter passwords = 8*8*8*8*8=
<gadget id="calculator">8*8*8*8*8</gadget>
<output>32_768</output>
32768 ------(1) Total number of passwords in which no letter repeats= 8C5*5!= 56*120=
<gadget id="calculator">56*120</gadget>
<output>6_720</output>
6720------(2) therefore required value= (1)-(2)... | E | calc |
aqua_rat__ePnv8NwQaJksYlU0 | Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 300 miles per hour and the train's aver... | Average speed = distance/time Because we are looking for average speed we can pick a distance for the variable D. Speed X-Y = 300 Speed Y-Z = 100 Average Speed = total distance/total rate rate = distance/time X====================Y==========Z If X-Y is twice the length of Y-Z then let X-Y = 2d and let Y-Z... | D | calc |
ape210k__00295260 | certain city sends 60 players to participate in the Provincial Youth Go Competition, of which female players account for 1/4 of the total. The game adopts an elimination system, that is, winners in each round enter the next round, and losers are eliminated. They are conducted separately, and the fifth and sixth grades ... | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">9 * (2/9)</gadget>
<output>2</output>
<gadget id="calculator">9 - 2</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00345229 | The ticket price for a football game is 300 tickets. After the price reduction, the audience increases by 50%, and the income increases (1/4). How much is the price reduction for each ticket? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<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=... | 50 | calc |
ape210k__00563063 | cylinder has a base diameter of 8m and a height of 1m, what is its volume in m**3. | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16 * 1</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
ape210k__00504197 | What is the probability that any three-digit number composed of three cards marked with numbers 2, 3, and 4 is an even number? | <gadget id="calculator">4 / 6</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
aqua_rat__AeqJTnewgaSubCS6 | Rs.400 at 5% p.a compound interest will amount to Rs.441 in ________ years (interest compounded yearly).
Choose the correct choice from the following answers
A) 1 year B) 2 years C) 3/2 year D) 5 years E) 6 years | 1st year compound interest is =400*5/100=
<gadget id="calculator">400*5/100</gadget>
<output>20</output>
20 2nd year compound interest is= first year CI + 5%of first year CI= 20 + 20*5/100=>20+1=
<gadget id="calculator">20+1</gadget>
<output>21</output>
>21 total CI= first year CI + second year CI= >20+2... | B | calc |
ape210k__00528239 | There are three workshops in a factory donating donations, workshop A’s donation is the other two workshops’ donations (2/3), workshop B’s donation is the other two workshops’ donations (3/5), and workshop C’s donation is 720 yuan less than workshop B’s. How much is the total donation of the three workshops? | <gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5) - (3/8)</gadget>
<... | 4_800 | calc |
math_qa__GZKYgBIjA2WsRBYi | In what time will a railway train 90 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choose the correct option: A) 8 sec B) 1 sec C) 9 sec D) 6 sec E) 2 sec | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>
<gadget id="calculator">90 / 10</gadget>
<output>9</output>
<result>C</result> | C | calc |
aqua_rat__25nc4uzPOpsYxgvp | The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is: Select the correct option:
A) 152000 m^2 B) 1532500 m^2 C) 153000 m^2 D) 153300 m^2 E) 153600 m... | Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m. 60 Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160. Length = 480 m and Breadth = 320 m. Area = (480 x 320) m2 = 153600 m^2. 153600 m^2)
<result>E</result> | E | calc |
ape210k__01193315 | The number A is 25, the number B is 9 times the number A, and the number C is 4 times the number B, what is the number C? | <gadget id="calculator">25 * 9 * 4</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00326051 | A train travels from A to B at 80 kilometers per hour and can be reached in 12 hours; now if the speed of this train is increased to 4 times, how many hours can it arrive in advance? | <gadget id="calculator">80 * 12</gadget>
<output>960</output>
<gadget id="calculator">80 * 4</gadget>
<output>320</output>
<gadget id="calculator">960 / 320</gadget>
<output>3</output>
<gadget id="calculator">12 - 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__ddPADfSztAU8s87G | A train covers a distance of 12 km in 10 minutes.If it takes 6 seconds to pass a telegraph post,then the length of the train is Choose one: A) 90m B) 100m C) 120m D) 140m E) None | Speed=(12/10*60)km/hr=(72*5/18)m/sec=20m/sec Length of the train=(Speed *Distance) =(20*6)=
<gadget id="calculator">(20*6)</gadget>
<output>120</output>
120m Answer:Option 120m
<result>C</result> | C | calc |
ape210k__00606226 | 48*34, if the second factor is reduced by 2, the product will be reduced (﹚). | <gadget id="calculator">48 * 2</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
math_qa__xu9n8UwnfL6QAZgR | in a class , 6 students can speak gujarati , 15 can speak hindi and 6 can speak marathi . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class
Options.
A) 21
B) 22
C) 23
D) 24
E) 25 | <gadget id="calculator">15 + 6</gadget>
<output>21</output>
<gadget id="calculator">21 + 1</gadget>
<output>22</output>
<result>B</result> | B | calc |
aqua_rat__2PEw7ArDcUEuy9vn | A cistern of capacity 40 litres has an inlet and an outlet pipe. When both the pipes are opened at once, it takes 8 minutes to fill the cistern. However, if the outflow rate is increased 1.5 times, the cistern never gets filled. Which of the following can be the outflow rate? Choose the correct choice from the followin... | DETAILED SOLUTION Initially, net flow in the tank = 40 litres/ 8 minutes = 5 litres/minute Now, the increase in outflow should be greater than 5 litres/min for the tank to fill up Increase in outflow = 1.5x – x = 0.5x Only in option c) 0.5 X 12 = 6 litres/min > 5 litres/min 12 litres/minuteORRE12 litres/mi... | C | calc |
aqua_rat__Ehqz6gISzEgqRRGr | 45 is the product of two negative numbers. If the greater number is doubled, it is 1 more than the lesser number. What is the greater number? Choose the correct choice from the following answers: A) -6 B) -5 C) -8 D) -1 E) -2 | Test the options. (B) - 5 Double of -5 is -10 and 1 less is -9. -9 * -5=
<gadget id="calculator">-9 * -5</gadget>
<output>45</output>
45 (Correct) Correct Answer (-5)
<result>B</result> | B | calc |
ape210k__00401488 | A truck drives from point A to point B at a speed of 50 kilometers per hour. One hour after departure, a passenger car also drives from point A to point B at a speed of 75 kilometers per hour, and it is half earlier than the truck. arrive at B in hours. Find the distance between places A and B. | <gadget id="calculator">1 + 0.5</gadget>
<output>1.5</output>
<gadget id="calculator">75 - 50</gadget>
<output>25</output>
<gadget id="calculator">1.5 / 25</gadget>
<output>0.06</output>
<gadget id="calculator">50 * 0.06 * 75</gadget>
<output>225</output>
<result>225</result> | 225 | calc |
ape210k__00155491 | Xiaoying wants to help her mother with the following things on Sunday: It takes 25 minutes to wash clothes with the washing machine, 10 minutes to sweep the floor, 20 minutes to tidy the room, and 3 minutes to dry the clothes. She has made reasonable arrangements to do these things, How many minutes will it take at lea... | <gadget id="calculator">10 + 20 + 3</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00202577 | bottle of yogurt weighs 0.158 kilograms. After drinking half of it, the weight of the bottle is 0.108 kilograms. How many kilograms does the yogurt in the original bottle weigh? | <gadget id="calculator">0.158 - 0.108</gadget>
<output>0.05</output>
<gadget id="calculator">0.05 * 2</gadget>
<output>0.1</output>
<result>0.1</result> | 0.1 | calc |
ape210k__00324931 | 200 corn seeds were used for a germination experiment, and the result was that 192 seeds germinated. What is the germination rate? | <gadget id="calculator">192 / 200</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(24/25) * 1</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</result> | 24/25 | calc |
aqua_rat__zbKcPv0epW00kSLj | If p and q are integers and p divided by q is 16.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15
II. 5
III. 3 Choose the correct choice from the following answers: A) I only B) II only C) III only D) I,III only E) II,III only | p=16.15q from which p = 16q + 15q/100 or p = 16q + 3q/20. Since p and q are integers, 3q/20 must also be an integer. 3 is not divisible by 20, then q must be divisible by 20, and therefore, q/20 is an integer and 3q/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3. ... | D | calc |
aqua_rat__45ZHbOg0LoQRFgme | 3889 + 12.952 – ? = 3854.002 Choose the most appropriate option
A) 47.095 B) 47.752 C) 47.932 D) 47.95 E) None of these | Solution Let 3889 + 12.952 - x = 3854.002. Then, x = (3889 + 12.952) - 3854.002 = 3901.952 - 3854.002 = 47.95. Answer 47.95
<result>D</result> | D | calc |
ape210k__00860617 | Suning Mall celebrates New Year's Day with activities. All products were sold at a 15% discount, and Naughty Mom snapped up a TV set for 3,230 yuan, how much cheaper than the original price? | <gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">1 - (17/20)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">3_230 * (3/20)</gadget>
<output>969/2 = around 484.5</output>
<result>969/2 = around 484.5</result> | 969/2 | calc |
aqua_rat__BqBXQ3JIXdZVdaWJ | The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:
Choose the correct choice: A) 75 B) 25 C) 26 D) 76 E) 19 | Explanation: 75rea of field = = 96x sq.m 96x = 1440 x = = 15 Hence, the length of longer parallel side = 5x = 75m 75nswer: 75) 75
<result>A</result> | A | calc |
aqua_rat__xG2BB81CLQJpDQ3G | Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Select the correct option:
A) 120
B) 125
C) 115
D) 110
E) 111 | 4x 5x 6x 100 50 25 400x + 350x + 150x = 16000 x = 20 6x = 120 120NSWER 120
<result>A</result> | A | calc |
aqua_rat__YXgMvRugRwJEEcfh | a ladder is 100 m long and distance between bottom of the ladder and wall is 60m.what is the maximum size of the cube that can be placed between the wall and the ladder.
Choose the correct choice from the following:
A) 40 B) 45 C) 50 D) 55 E) 60 | side of the cube is 40m AB-WALL BC- DISTANCE BETWEEN WALL AND LADDER FOOT=60m AC-LADDER=100m SO AB=SQ.RT (AC^2-BC^2)=80m Area of triangle ABC=1/2*b*h=2400 sq. m lasrgest possible square will be of area 1600sq. m so side =40m 40NSWER:40
<result>A</result> | A | calc |
ape210k__00242664 | If there are a number of students and they are arranged in a three-layer hollow square, then there will be 9 more people, and if the hollow part is added with two layers, the number will be 15 fewer. Then how many students are there. | <gadget id="calculator">15 - 8</gadget>
<output>7</output>
<gadget id="calculator">9 + 7</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 + 8</gadget>
<output>16</output>
<gadget id="calculator">16 / 8</gadget>
<output>2</output>
<gadget id="calculat... | 85 | calc |
aqua_rat__w4suvzlmRVsJbMG0 | In a shower, 8 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: Pick
A) 75 cu. m B) 1200 cu. m C) 7500 cu. m D) 75000 cu. m E) 7.50 cu. m | 1 hectare = 10000 sq mtr The volume of water that falls on 1.5 hectares of ground = 0.08*1.5*10000=
<gadget id="calculator">0.08*1.5*10000</gadget>
<output>1_200</output>
1200 cub mtr . ANSWER:1200 cu. m
<result>B</result> | B | calc |
aqua_rat__eaQcTvM8CksjvZ4a | What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55? Choose the correct choice:
A) 3944
B) 3740
C) 7290
D) 6928
E) 3729 | Explanation: Let the side of the square plot be a ft. a2 = 289 => a = 17 Length of the fence = Perimeter of the plot = 4a = 68 ft. Cost of building the fence = 68 * 55 = Rs. 3740. Answer: Option 3740
<result>B</result> | B | calc |
ape210k__01023633 | Xiao Ming brought 20 yuan, bought a box of colored pens, and left 7.45 yuan, how much is a box of colored pens? | <gadget id="calculator">20 - 7.45</gadget>
<output>12.55</output>
<result>12.55</result> | 12.55 | calc |
ape210k__00631316 | On the plan with a scale of 1:3000, the length of a bridge is measured to be 7 cm. How many meters is the actual length of the bridge? | <gadget id="calculator">1 / 3_000</gadget>
<output>1/3_000 = around 0.000333</output>
<gadget id="calculator">7 / (1/3_000)</gadget>
<output>21_000</output>
<gadget id="calculator">21_000 / 100</gadget>
<output>210</output>
<result>210</result> | 210 | calc |
math_qa__RbnahJVuHiqBGw9I | This year, MBB Consulting fired 10% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to em... | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">100 + 1_000</gadget>
<output>1_100</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 + 4</gadget>
<output>94</output>
<gadget id="calculator">1_100 * 94</gadget>
<output>103_400</... | A | calc |
aqua_rat__sNwjW2vicbQLtAtf | If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set? Pick one:
A) 2
B) 5/3
C) 3
D) 10/3
E) 14/3 | If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set? A. 2 B. 5/3 C. 3 D. 10/3 E. 14/3 Solution: x-1 is the median of the set, implies if we arrange the set in ascending order, the set would be [2x-4, x-1, 3x+3]. This means that:... | D | calc |
ape210k__00084663 | A conical sand pile has a base circumference of 25.12 meters and a height of 1.5 meters. Use this pile of sand to pave an 8 cm thick road on a 10 meter wide road. How many meters can you pave? | <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">25.12 / 6.28</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">8 / 100</gadget>
<output>... | 31.4 | calc |
aqua_rat__FOtLz2iqJxhxOaDp | which of the following options is the correct value of b, given the equation b^(-2) +b^3 = 64.1? Choose the correct choice from the following options.
A) 2 B) 1 C) 3 D) 7 E) 4 | Plugging in the various option into the equation to find out which is correct: b^(-2)+b^3 = 64.1 4^(-2)+4^3 Ans. 4
<result>E</result> | E | calc |
ape210k__00275617 | There is a six-digit number, the number in the ones place is 6, the number in the tens place is 4, and the sum of any adjacent three numbers is 17. What is the six-digit number? | <result>746_746</result> | 746_746 | calc |
ape210k__00201170 | There are three classes A, B, and C in the third grade. Class A has 4 more girls than Class B, and Class B has 1 more girl than Class C. If the first group of students in Class A are transferred to Class B, and Class B If the first group of students in class C are transferred to class C, and the first group of students... | <gadget id="calculator">1 - 4</gadget>
<output>-3</output>
<gadget id="calculator">4 + 1 + (-3)</gadget>
<output>2</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__8rc0tzGRmRAv22lP | The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 60 kmph, find the speed of the stream? Choose the correct choice from the following
A) 18 kmph B) 19 kmph C) 21 kmph D) 22 kmph E) 20 kmph | The ratio of the times taken is 2:1. The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)=
<gadget id="calculator">(2+1)/(2-1)</gadget>
<output>3</output>
3/1=
<gadget id="calculator">3/1</gadget>
<output>3</output>
3:1 Speed of the stream= 60/3=
<gadget id="calculator">60/3... | E | calc |
math_qa__MwobCOorSnsD1YtM | What least number must be subtracted from 427398 so that remaining no.is divisible by 12 Pick one
A) 3 B) 5 C) 6 D) 7 E) 8 | <gadget id="calculator">427_398 / 12</gadget>
<output>71_233/2 = around 35_616.5</output>
<gadget id="calculator">floor(71_233/2)</gadget>
<output>35_616</output>
<gadget id="calculator">35_616 * 12</gadget>
<output>427_392</output>
<gadget id="calculator">427_398 - 427_392</gadget>
<output>6</output>
<result>C</re... | C | calc |
aqua_rat__9a13q3gOv9jeF1in | Given a certain number (A), find A given that 4.5 is 15% of 20% of A? Select the correct option: A) 120 B) 130 C) 150 D) 100 E) 110 | Using elimination method to pick the correct option it will be discovered that option C i.e 150 is the correct option because 20% of 150 is 30 and 15% of 30 is 4.5. ANSWER:150
<result>C</result> | C | calc |
ape210k__00300112 | What is the greatest common factor of the least common multiple of 15 and 25? | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00324051 | The difference between two numbers is 15.4. If the minuend is reduced by 2 and the subtrahend remains the same, what is the difference? | <gadget id="calculator">15.4 - 2</gadget>
<output>13.4</output>
<result>13.4</result> | 13.4 | calc |
ape210k__00396770 | delivery truck pulls 250 boxes of bread, and after delivering them to 6 stores on average, there are 10 boxes left. How many boxes of bread are delivered to each store on average? | <gadget id="calculator">250 - 10</gadget>
<output>240</output>
<gadget id="calculator">240 / 6</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
math_qa__3jbI0Chnne8cvVSB | Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $112 and $120 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts we... | <gadget id="calculator">120 - 112</gadget>
<output>8</output>
<gadget id="calculator">2 * 8</gadget>
<output>16</output>
<gadget id="calculator">16 / 112</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">112 / (1/7)</gadget>
<output>784</output>
<result>B</result> | B | calc |
ape210k__00772703 | A passenger train departs from Zhucheng to Jinan. When it arrives at Weifang Station, (3/10) passengers get off, and another 14 people get on the train. At this time, the number of passengers on the train is equal to the original (7/8). How many passengers got off at Weifang Station? | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">3 / 10</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">(7/8) - (7/10)</gadget>
<output>7/40 = around 0.175</output>
<g... | 24 | calc |
ape210k__00125561 | There is a fraction, if 1 is added to the numerator, it will be (1/3) after the division, and if 4 is added to the denominator, it will be (1/4) after the division, then how much is added to the numerator and denominator, the fraction is equal to (1 /2). | <result>10</result> | 10 | calc |
ape210k__00802477 | Paint a cylindrical pillar in the hall. The diameter of this pillar is 60cm and the height is 3m. Find the area of the painted part. | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">3.14 * (3/5) * 3</gadget>
<output>5.652</output>
<result>5.652</result> | 5.652 | calc |
ape210k__00473075 | There are 1200 peach trees in the orchard, the number of pear trees is 5/6 of peach trees, and 1/2 of orange trees, how many orange trees are there? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(5/6) / (1/2)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1_200 * (5/3)</gadget>
<output>2_000</output>
<result>2... | 2_000 | calc |
math_qa__gJHaBTW5cvArWSM1 | A certain bag contains 100 balls — 50 white, 30 green, 10 yellow, 7 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Pick one
A) 0.9 B) 0.75 C) 0.6 D) 0.8 E) 0.5 | <gadget id="calculator">50 + 30</gadget>
<output>80</output>
<gadget id="calculator">80 + 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<result>A</result> | A | calc |
ape210k__00118461 | The meaning of (4/7) meter is to divide the number of meters into 7 parts on average, indicating 4 of them. | <result>1</result> | 1 | calc |
aqua_rat__OiZXI6GqVbtBF80Q | A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $48? Choose the correct choice from the following answers.
A) 6 B) 7 C) 9 D) 12 E) 16 | Every two days, the net total is $6. After 8 days, the worker will have $24. On day 9, the worker will receive $24 for a net total of $48. The answer is 9.
<result>C</result> | C | calc |
aqua_rat__ZX8rixz933iUCUDL | Rahim bought 42 books for Rs.520 from one shop and 22 books for Rs.248 from another. What is the average price he paid per book ? Choose the correct choice from the following: A) s.17 B) s.18 C) s.12 D) s.11 E) s.10 | Average price per book = (520 + 248) / (42 + 22) = 768/ 64 = Rs.12 Answer:s.12
<result>C</result> | C | calc |
ape210k__01214099 | The number of A is twice the number of B, how much more is A than B? (fill in percentage) | <gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">1 / 1</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
aqua_rat__XosMy7ObiWcz8Lf8 | A tourist purchased a total of $1,700 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks tha... | since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3 using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum val... | D | calc |
ape210k__00936297 | A computer is priced at 5,400 yuan this year, which is 10% lower than last year. How much did it sell for last year? (Solution of column equation) | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">5_400 / (9/10)</gadget>
<output>6_000</output>
<result>6_000</result> | 6_000 | calc |
math_qa__GT58t1wxpZRb7PqX | The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 7000, brokerage being 1/4%, is: Select the correct option
A) 96.97 B) 114 C) 114.75 D) 124 E) 124.75 | <gadget id="calculator">7_000 / 756</gadget>
<output>250/27 = around 9.259259</output>
<gadget id="calculator">(250/27) * 10.5</gadget>
<output>97.222222</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">97.222222 - (1/4)</gadget>
<output>96.972222</output>
<... | A | calc |
aqua_rat__3Sc9OtkPbqpHyljj | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Answers: A) 5.75 B) 5.7 C) 5.76 D) 5.74 E) 5.71 | M = 6 S = 1.2 DS = 7.2 US = 4.8 x/7.2 + x/4.8 = 1 x = 2.88 D = 2.88 * 2=
<gadget id="calculator">2.88 * 2</gadget>
<output>5.76</output>
5.76 Answer: 5.76
<result>C</result> | C | calc |
ape210k__01111291 | A barrel of oil is taken out (7/10), and then 10 kilograms are put in. At this time, the oil in the barrel is equal to the original (2/5), how much oil is in the original barrel? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">7 / 10</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(2/5) - (3/10)</gadget>
<output>1/10 = around 0.1</output>
<gadge... | 100 | calc |
ape210k__00851807 | A rope is 13 meters long, 8 meters are used up, and the length of the remaining rope is much less than the used one. | <gadget id="calculator">13 - 8</gadget>
<output>5</output>
<gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
ape210k__00089102 | A square and a rectangle have the same area. The side length of the square is 8 cm, the length of the rectangle is 16 cm, and the width is cm. | <gadget id="calculator">8 / 16</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">8 * (1/2)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00536414 | A and B have two bags of sugar, pour (2/5) from A bag to B bag, the two bags of sugar are equal. It turns out that bag A weighs the same as bag B. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 2</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / (1/5)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00535194 | Team A can complete a task alone in 15 days, and team B can complete it in 20 days alone. Now A and B cooperate for 5 days. How many days will it take for Team A to complete the rest? | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/15) + (1/20)</gadget>
<output>7/60 = around 0.116667</output>
<gadget id="calculator">(7/60) * 5</gadget>
<output>7/12 = around 0.5833... | 25/4 | calc |
ape210k__00021308 | A barrel of oil is 10 kilograms, how many kilograms of the barrel of oil (4/5) is used? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">10 * (4/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__n8bAfGg5rpqrlWNE | A woman has three blouses of different colors, four skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear? Choose the correct choice:
A) 8 B) 12 C) 22 D) 17 E) 18 | total ways = 3*4*2=24.. now its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer.. the ways in which the pink blouse and green skirt are together=1*1*2=2.. total ways =24-2=22.. ANSWER:22
<result>C</result> | C | calc |
ape210k__00447771 | When a truck travels 30% of the journey from city A to city B, it is still 280 kilometers away from the destination. How many kilometers is the distance from city A to city B? | <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">280 / (7/10)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
math_qa__OzIiBKcCQw5Mjjof | How many ounces of a 60% salt solution must be added to 40 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt? Answers.
A) 16.67
B) 40
C) 50
D) 60.33
E) 70 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 40</gadget>
<output>16</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 40</gadget>
<output>8</output>
<gadget id="calculator">16 - 8</gadge... | B | calc |
ape210k__00944039 | The Shenzhou-7 spacecraft launched by our country flew 42 times around the earth, and Shenzhou-6 flew 38 times more than Shenzhou-7, but Shenzhou-7 carried 3 astronauts. How many laps did Shenzhou-6 fly? What more questions can you ask? | <gadget id="calculator">42 + 38</gadget>
<output>80</output>
<gadget id="calculator">42 + 80</gadget>
<output>122</output>
<result>122</result> | 122 | calc |
aqua_rat__aDqCWv6mWU2JGzIo | The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:9:21, then find the ratio of their periods of investments. Choose the correct choice:
A) 2:3:6
B) 3:5:6
C) 3:2:4
D) 2:4:3
E) 2:5:3 | The ratio of investments of A, B and C is 5:6:7. The ratio of shares of A, B and C is 5:9:21. Therefore, Ratio of their periods of investments is (5/5) : (9/6) : (21/7) = 1:3/2:3 = 2:3:6. 2:3:6NSWER:2:3:6
<result>A</result> | A | calc |
ape210k__00849491 | (5/9) tons of cabbage can be exchanged for (5/7) tons of radishes, (3/4) tons of radishes can be exchanged for (5/8) tons of tomatoes, how many tons of tomatoes can be exchanged for one ton of cabbage. | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">(5/8) / (7/12)</gadget>
<output>15/14 = around 1.071429</output>
<result>15/14 = around 1.071429</result> | 15/14 | calc |
ape210k__00429868 | 3.5 plus 7 times x, the sum is 14, find x. | <gadget id="calculator">3.5 + 7</gadget>
<output>10.5</output>
<gadget id="calculator">10.5 / 7</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
ape210k__00416730 | A cuboid is 1.25 meters long, 0.8 meters wide, and 0.5 meters high, find its surface area. | <gadget id="calculator">1.25 * 0.8</gadget>
<output>1</output>
<gadget id="calculator">1.25 * 0.5</gadget>
<output>0.625</output>
<gadget id="calculator">0.5 * 0.8</gadget>
<output>0.4</output>
<gadget id="calculator">1 + 0.625 + 0.4</gadget>
<output>2.025</output>
<gadget id="calculator">2.025 * 2</gadget>
<output... | 4.05 | calc |
ape210k__00098323 | The distance between Naughty's house and Xiaoxiao's house is 840 meters. The two started from home at the same time and walked toward each other. Naughty walked 70 meters per minute, and Xiaoxiao walked 50 meters per minute. When they met, how far did Xiaoxiao walk? | <gadget id="calculator">70 + 50</gadget>
<output>120</output>
<gadget id="calculator">840 / 120</gadget>
<output>7</output>
<gadget id="calculator">7 * 50</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
aqua_rat__4DjtNPxD9L1Jqv6R | In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons?
Select.
A) 200 B) 1716 C) 230 D) 250 E) 270 | 13p3 = 13 × 12 × 11 = 1716 1716)
<result>B</result> | B | calc |
ape210k__00947489 | It takes 11 hours for a ship to sail 150 kilometers along the current and 144 kilometers against the current; it also takes 11 hours to sail 90 kilometers along the current and 192 kilometers against the current. Find the speed of the current? | <gadget id="calculator">150 - 90</gadget>
<output>60</output>
<gadget id="calculator">192 - 144</gadget>
<output>48</output>
<gadget id="calculator">60 / 48</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">144 * (5/4)</gadget>
<output>180</output>
<gadget id="calculator">150 + 180</gadget>
<outpu... | 3 | calc |
ape210k__00328028 | In the mid-term exam, Xiaoli scored an average of 88.5 in Chinese, Mathematics and English, and 82.5 in Known Chinese. What is the average score of Mathematics and English? | <gadget id="calculator">88.5 * 3</gadget>
<output>265.5</output>
<gadget id="calculator">265.5 - 82.5</gadget>
<output>183</output>
<gadget id="calculator">183 / 2</gadget>
<output>183/2 = around 91.5</output>
<result>183/2 = around 91.5</result> | 183/2 | calc |
ape210k__01170085 | The original price is 500 yuan, the price is increased by (1/5) and then the price is reduced by (1/5), what is the current price? | <gadget id="calculator">1 / 5</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">500 * (6/5) * (4/5)</gadget>
<output>480</output>
<result>480</re... | 480 | calc |
aqua_rat__KywelKNgmBlHxbcY | Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x and Y coordinates of P,Q and R are to be integers that satisfy the inequalitites -4≤ X≤ 5 and 6≤ y≤ 16. How many different triangles with these properties could be constructed?
Choose the most... | total values for x=10;y=11 x1,y1=10*11.......................coordinates of 1st pnt x2,y2=9*1(y2=y1)............... coordinates of 2nd pnt y coordinates will be same as that of 1st pnt bcoz it is parallel to x axis x3,y3=1*10(x2=x3)..........coordinates of 3rd pt. x coordinates will be same as that of 2nd point b... | C | calc |
aqua_rat__s8NlW0Et3DINri3a | Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choose the correct choice from the following answers
A) 61mph
B) 62mph
C) 63mph
D) 64mph
E) 65mph | (2*40+3*80)/5=
<gadget id="calculator">(2*40+3*80)/5</gadget>
<output>64</output>
64mph ANSWER:64mph
<result>D</result> | D | calc |
ape210k__00914847 | Cut out the largest square from one end of a rectangular piece of paper with a length of 30 cm. What is the circumference of the remaining piece of paper in centimeters? | <gadget id="calculator">30 * 2</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00741539 | Li Hua's family has 120 peach trees, and last year each tree harvested an average of 45 kilograms of peaches. This year, each tree is expected to harvest 15 kilograms more than last year. How many kilograms of peaches are expected to be harvested this year? | <gadget id="calculator">45 + 15</gadget>
<output>60</output>
<gadget id="calculator">60 * 120</gadget>
<output>7_200</output>
<result>7_200</result> | 7_200 | calc |
aqua_rat__ix6eLYEf8BTavnYX | If x is a prime integer and y = 9x, which of the following CANNOT be a divisor of y? Choose one.
A) 18 B) 45 C) 28 D) 27 E) 99 | Prime integer are as follows as 2,3,5,7,11., y = 9x Go with options if it is 18 so x must be 2 which is a prime integer if it is 45 so x must be 5 which is a prime integer if it is 28 so x must be 4 which is not a prime integer so ans is 28
<result>C</result> | C | calc |
aqua_rat__AZP60VUHV1YVFMTn | A machine puts d caps on bottles in m minutes. How many hours will it take to put caps on b bottles? Choose the correct choice from the following
A) 60bm/d
B) b/60dm
C) bd/60m
D) 60b/dm
E) bm/60d | A machine puts d caps on bottles in m minutes. So, the machine puts 1 cap in m/c minutes To put caps on b bottles, the machine will take bm/d minutes In order to calculate the no. of hours taken , divide the product by 60. So, our answer is bm/60d Answer : bm/60d
<result>E</result> | E | calc |
math_qa__GawQL30K7HTDU7H2 | A certain company’s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 35 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Select the correct option.
A) 5 % B) 18 % C) 33 % D) 35 % E) 55.25 % | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) + 1</gadget>
<output>27/20 = around 1.35</output>
<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>... | E | calc |
ape210k__00630024 | A rope is 42 cm long. After 6 cuts, what is the average length of each piece? | <gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">42 / 7</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__3WPZMEpPyShHa6AO | Kiran received Rs. 6000 as his share out of the total profit of Rs.9000 which he and Arun earned at the end of one year. If Kiran invested Rs. 30,000 for 6 months, whereas Arun invested his amount for the whole year, what was the amount invested by Arun? Choose the correct choice from the following answers:
A) Rs.5000 ... | Suppose Arun invested Rs.x. Then, Kiran : Arun = (30000 * 6) : (x * 12) Therefore, 180000/ 12x = 6000/3000 or x = 18000/24 = 7500. ANSWER:Rs.7500
<result>D</result> | D | calc |
ape210k__00174811 | If a cylinder with a volume of 90 cubic centimeters is cut into a cone with the largest volume, what is the volume cut off in cubic centimeters | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">90 * (2/3)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__JMMSjtX5USnuq56V | A man complete a journey in 10 hours. He travels first half of the journey at the rate of
21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km. Choices:
A) 121 KM B) 242 KM C) 224 KM D) 112 KM E) 120 KM | AVERAGE SPEED = 2*21*24/21+24 = 22.4 KM/HR TOTAL DIST = 22.4 * 10=
<gadget id="calculator">22.4 * 10</gadget>
<output>224</output>
224 KM DIST= SPEED * TIME LET TIME TO TRAVEL THE FIRST HALF = X HR THEN TIME = (10-X) HR DIST COVERED IN FIRST HALF = 21X DISTANCE COVERED IN SECOND HALF = 24(10-X) 242 KMUT ... | B | calc |
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