id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__pPkvCmVrGBtoZm0s | Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 12%, but the overall value of her portfolio increased. If Sam... | Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 15% decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and A, A is obviously the safer bet and is the right answer. $75, $... | A | calc |
math_qa__M7EwcRkph31sTbNI | The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 18. The larger of the two numbers is: Answers
A) 276 B) 414 C) 322 D) 345 E) 355 | <gadget id="calculator">23 * 18</gadget>
<output>414</output>
<result>B</result> | B | calc |
aqua_rat__zJfEJtQ4cy3ITv5P | Three runners E, B and C run a race, with runner E finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race? Select the correct option.
A) 36m
B) 48m
C) 60m
D) 72m
E) 84m | Let distance of race be x mtrs. Then when E finishes x m , B has run (x- 12)mtrs and C has run x-18 mtrs. so at this point B is 6 m ahead of C. Now to finish race b needs to run another 12 m, so he runs another 12 m. when B finishes race he is 8 m ahead of C. so last 12 m B has run, C has run 10 m. as speeds are cons... | B | calc |
ape210k__00607427 | A number (1/2) minus its (2/5) is 15, what is this number? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/2) - (2/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">15 / (1/10)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00485096 | 258+how much=625. | <gadget id="calculator">625 - 258</gadget>
<output>367</output>
<result>367</result> | 367 | calc |
ape210k__00372307 | Sunshine Supermarket donated 6 boxes of ham, 4500g each, to the disaster area in Wenchuan, and then donated some more. At this time, it donated a total of 36kg. How many boxes were donated later? (column equation solution) | <gadget id="calculator">4_500 * 6</gadget>
<output>27_000</output>
<gadget id="calculator">36_000 - 27_000</gadget>
<output>9_000</output>
<gadget id="calculator">9_000 / 4_500</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__gfZKm2thTKzeltTI | Tough and Tricky questions: Combinations.
Six students - 3 Girls and 3 boys - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another? Choose the correct choice:
A) 12
B) 72
C) 34
D) 240
E) 520 | Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another? A) 12 B) 36 C) 72 D) 240 E) 720 The boys (B) and girls(G) can either be arranged as BGBGBG or GBGBGB. Within the a... | B | calc |
aqua_rat__jh1pOaTCCEfIsWUk | A farmer wishes to start a 100 square metres rectangular vegetable garden. Since he has only 30 m barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. The dimension of the garden is: Pick:
A) 15 m Γ 6.67 m B) 20 m Γ 5 m C) 30 m Γ 3.33 m D) 40 m Γ 2.5 m E) Non... | We have : 2b + l = 30 β l = 30 β 2b. Area = 100 m2 β l Γ b = 100 β b(30 β 2b) = 100 β b2 β 15b + 50 = 0 β (b β 10)(b β 5) = 0 β b = 10 or b = 5. When b = 10, l = 10 and when b = 5, l = 20. Since the garden is rectangular, so its dimension is 20 m Γ 5 m. Answer 20 m Γ 5 m
<result>B</result> | B | calc |
aqua_rat__u24SboUVSUyEeWbB | Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choose the correct answer.
A) 16 seconds B) 18 seconds C) 19 seconds D) 27 sec... | Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300* 18 / 40 * 5 = 27 seconds. Answer:27 seconds
<result>D</result> | D | calc |
ape210k__00006607 | There are 10,000 people living in the three residential areas A, B, and C, among which 4,000 people live in the A community, 3,000 people live in the B community, and how many people live in the C community? | <gadget id="calculator">10_000 - 4_000 - 3_000</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
math_qa__psfDJ8oiHaHYD6A6 | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire? Choose the correct choice from the following answers: A) 16 cm B) 24 cm C) 28 cm D) 36 cm E) 39 cm | <gadget id="calculator">12 ** 3</gadget>
<output>1_728</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">1_728 / 64</gadget>
<output>27</output>
<gadget id="calculator">4 * 27</gadget>
<output>108</output>
<gadget id="calculator">108 / 3</gadget>
<output>36</output>
<resu... | D | calc |
ape210k__00324624 | In a week, a cement factory produced 4,800 tons of cement in the first 3 days and 7,800 tons in the last 4 days. How many tons of cement was produced on average every day this week? | <gadget id="calculator">0.48 + 0.78</gadget>
<output>1.26</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">1.26 / 7</gadget>
<output>0.18</output>
<result>0.18</result> | 0.18 | calc |
aqua_rat__d4cgPLsjTPyFC1vz | 10x + 2y = -4
4x + y = 1
In the system of equations above, what is the value of x? Choose the correct choice from the following choices: A) -5 B) -3 C) -1 D) 1 E) 3 | 10x + 2y = -4 can be written as 5x + y = -2 Let's subtract the second equation from this equation. x = -3 The answer is -3.
<result>B</result> | B | calc |
math_qa__PBpa0APH15nba1UC | How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph? Choose the correct option:
A) 22 sec
B) 77 sec
C) 25 sec
D) 18 sec
E) 12.5 sec | <gadget id="calculator">150 + 100</gadget>
<output>250</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">250 / 20</gadget>
<output>25/2 = around 12.5</output>
<result>E</result> | E | calc |
ape210k__00418131 | How many handkerchiefs can be made from 80 square decimeters of cloth with an area of 40 square centimeters? | <gadget id="calculator">80 * 100</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 / 40</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00813613 | If a 2-meter-long cylindrical wood is cut into two sections, the surface area increases by 15.2 square centimeters, what is the volume of this wood in cubic centimeters? | <gadget id="calculator">15.2 / 2</gadget>
<output>7.6</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">7.6 * 200</gadget>
<output>1_520</output>
<result>1_520</result> | 1_520 | calc |
ape210k__00592651 | Lenovo Group produces 40,000 desktop computers this year, which is (1/5) less than last year. How many computers were produced last year? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">40_000 / (4/5)</gadget>
<output>50_000</output>
<result>50_000</result> | 50_000 | calc |
ape210k__00925199 | The sixth grade students make silk flowers to decorate the classroom. The number of flowers made by the first class is that of the second class (3/4), the number of flowers made by the second class is that of the third class (5/6), and the number of flowers made by the third class is 120, how many flowers are made by t... | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 * (5/6) * (3/4)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__01061657 | The weight of a person on the moon is (1/6) that on the earth. How many Newtons will a person weighing n Newtons weigh on the moon? (Newton is the unit of gravity) | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<result>1/6 = around 0.166667</result> | 1/6 | calc |
ape210k__00171206 | The distance between places A and B is 480 kilometers. Cars A and B drive from places A and B at the same time. After 3 hours, the two cars meet. The speed of car A is 82 kilometers per hour. How many kilometers does car B travel per hour? | <gadget id="calculator">480 / 3</gadget>
<output>160</output>
<gadget id="calculator">160 - 82</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
ape210k__01155373 | swallow flies 226.8 kilometers in 6 hours, and a wild goose flies 319.5 kilometers in 9 hours. Who is faster? How many kilometers faster? | <gadget id="calculator">226.8 / 6</gadget>
<output>37.8</output>
<gadget id="calculator">319.5 / 9</gadget>
<output>35.5</output>
<gadget id="calculator">37.8 - 35.5</gadget>
<output>2.3</output>
<result>2.3</result> | 2.3 | calc |
ape210k__00003940 | The distance between A and B is 616 kilometers. A passenger car and a truck drive from A and B respectively at the same time. They meet at 5.6 o'clock. The bus travels 65 kilometers per hour. How many kilometers per hour does the truck travel? | <gadget id="calculator">616 / 5.6</gadget>
<output>110</output>
<gadget id="calculator">110 - 65</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01080943 | A ship travels 165 kilometers in 5 hours. According to this calculation, how many kilometers can you sail in a day? | <gadget id="calculator">165 / 5</gadget>
<output>33</output>
<gadget id="calculator">33 * 24</gadget>
<output>792</output>
<result>792</result> | 792 | calc |
ape210k__00489919 | On Arbor Day this year, the school planted 95 saplings, 5 of which did not survive. Later, the school organized teachers and students to replant 5 saplings and survived. Find the survival rate of the planted saplings. | <gadget id="calculator">95 - 5</gadget>
<output>90</output>
<gadget id="calculator">90 + 5</gadget>
<output>95</output>
<gadget id="calculator">95 + 5</gadget>
<output>100</output>
<gadget id="calculator">95 / 100</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</ou... | 19/20 | calc |
ape210k__01215681 | The perimeter of a square is equal to the perimeter of a rectangle with a length of 12 cm and a width of 8 cm. What is the side length of the square in cm? | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">20 * (1/2)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00096184 | Grilling fish on the fire takes 3 minutes for each side. Both sides of the fish must be grilled. Only two fish can be grilled on the fire at the same time. Now you need to grill 5 fish, at least how much is needed. | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">6 + 9</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__CxxFYFedksBAMLY0 | A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 75 km/hour. At what speed, in km/hr, is the car traveling? Choose the correct choice from the following
A) 70
B) 72
C) 74
D) 75
E) 78 | Time to cover 1 kilometer at 80 kilometers per hour is 1/75 hours = 3,600/75 seconds = 48 seconds; Time to cover 1 kilometer at regular speed is 48 + 5=
<gadget id="calculator"> 48 + 5</gadget>
<output>53</output>
53 seconds= 53/3,600 hours = 1/70 hours; So, we get that to cover 1 kilometer 1/70 hours is needed -... | A | calc |
aqua_rat__B5WlEYnaBhnboOoX | Calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled ? Pick one: A) 90 hours B) 80 hours C) 50 hours D) 120 hours E) 110 hours | Part filled without leak in 1 hour = 1/10 Part filled with leak in 1 hour = 1/11 Work done by leak in 1 hour =1/10Γ’Λβ1/11=110 hours Answer:110 hours
<result>E</result> | E | calc |
ape210k__00271381 | At least how many centimeters of iron wire are needed to make a cuboid frame with a base perimeter of 16 centimeters and a height of 3 centimeters. | <gadget id="calculator">16 * 2</gadget>
<output>32</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">32 + 12</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
aqua_rat__UrDr4hZ9Jnn90Yfp | A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube? Pick one.
A) 2
B) 3
C) 4
D) 5
E) 6 | Given: positive integer n is a perfect square and a perfect cube --> n is of a form of n=x6 for some positive integer x --> 0<x^6<10^3 --=""> 0<x^2<10 --=""> x can be 1, 2 or 3 hence nn can be 1^6, 2^6 or 3^6. Answer: 3.</x^2<10></x^6<10^3>
<result>B</result> | B | calc |
ape210k__00557071 | Mr. Wang, a carpenter, wants to equip a writing desk with two drawers. The length of the drawer is 8dm, the width is 6dm, and the height is 1dm. It is expected to consume 4dm**2 boards during the production process. How many boards does Lao Wang need to prepare at least? | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">8 * 1</gadget>
<output>8</output>
<gadget id="calculator">6 * 1</gadget>
<output>6</output>
<gadget id="calculator">8 + 6</gadget>
<output>14</output>
<gadget id="calculator">14 * 2</gadget>
<output>28</output>
<gadget id="calculato... | 156 | calc |
aqua_rat__q3yF7yBAmuvCv7bi | Mandrake has to choose from 4 from 10 people. There are 3 girls, 5 boys , 2 children. What is total probability that he will choose 1G , 2B , 1C? Choose the correct choice from the following answers:
A) 1/7 B) 2/7 C) 3/7 D) 4/7 E) 5//7 | (3C1 * 5C2 * 2C1)/ 10C4 = 3*10*2/210 = 60/210=2/7 ANSWER:2/7
<result>B</result> | B | calc |
ape210k__00840001 | In a ratio, the two outer terms are exactly reciprocals of each other, one of the inner terms is 12.5, and the other inner term is 12.5. | <gadget id="calculator">1 / 1.25</gadget>
<output>0.8</output>
<result>0.8</result> | 0.8 | calc |
ape210k__00000427 | A car travels 242 kilometers in 3 hours. The speed of the first part of the journey is 84 kilometers per hour, the speed of the second part is 76 kilometers per hour, and the speed of the third part is 80 kilometers per hour. It is known that the third part of the journey is 40 kilometers per hour. m, find the time tak... | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
aqua_rat__JjMsxH4kIREFqNyk | A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 1
II. -4
III. 5 Choose the correct choice from the following.
A) I only B) II only C) I and III only D) II and III only E) I, II, and III | The question is which of the following must be in the set, not could be in the set. If -1 is in the set so must be -1+2=
<gadget id="calculator"> -1+2</gadget>
<output>1</output>
1, as 1 is in the set so must be 1+2=
<gadget id="calculator"> 1+2</gadget>
<output>3</output>
3, as 3 is in the set so must be 3... | C | calc |
ape210k__00294193 | A steel cylinder part weighs 1763.424 grams. Its side view is a rectangle. The length of the rectangle (not the height of the cylinder) is 18.84 centimeters. Find the height of the cylinder (7.8 grams per cubic centimeter of steel). | <gadget id="calculator">1_763.424 / 7.8</gadget>
<output>226.08</output>
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget id="calculator">226.08 / 28.26</gadget>
<o... | 8 | calc |
ape210k__00507995 | Mr. Wang typed a manuscript. In the morning (4/7), more manuscripts were typed than in the afternoon (1/7). How many manuscripts were typed in the afternoon? | <gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(4/7) - (1/7)</gadget>
<output>3/7 = around 0.428571</output>
<result>3/7 = around 0.428571</result> | 3/7 | calc |
ape210k__00754733 | There are three long, medium and short wooden stakes standing in the pool. At the beginning, the length of the long wooden stake above the water surface is twice the length of the middle wooden stake above the water surface. After the water surface rises by 3 cm, the length of the middle stake above the water surface i... | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">16 * (3/2)</gadget>
<output>24</output>
<gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">48 - 3 - 3</gadget>
<output>42</output>
<gadget id="calculator">24 + 42</gadget>
<output>66</ou... | 22 | calc |
ape210k__00239116 | A batch of coal is shipped from the cafeteria. If 2.4 tons are burned every day, it can be burned for 40 days. If you burn 0.6 tons more every day, how many days can you burn? (answer with ratio) | <gadget id="calculator">2.4 * 40</gadget>
<output>96</output>
<gadget id="calculator">2.4 + 0.6</gadget>
<output>3</output>
<gadget id="calculator">96 / 3</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
aqua_rat__2ymoHGVKe2WcJLMA | A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choose the correct option: A) 10 km/hr B) 50 km/hr C) 14 km/hr D) 17 km/hr E) 77 km/hr | Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr. Answer: 50 km/hr
<result>B</result> | B | calc |
ape210k__00634589 | The store sells 4 boxes of soap, each box costs 90 yuan, how many pieces do you buy? | <gadget id="calculator">90 * 4</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00655709 | A calculator, if sold for 80 yuan, can earn 25% of the purchase price; if sold for 100 yuan. how much can you earn | <gadget id="calculator">25 / 100</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">80 / (5/4)</gadget>
<output>64</output>
<gadget id="calculator">100 - 64</gadget>
<output>36</output>
<gadget id="calculator">36 / 64</ga... | 9/16 | calc |
ape210k__00505619 | A store shipped 6400kg of rice, 2200kg has been sold, and the rest is planned to be sold out within 7 days. How many kilograms are sold per day on average? | <gadget id="calculator">6_400 - 2_200</gadget>
<output>4_200</output>
<gadget id="calculator">4_200 / 7</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
math_qa__i0BYZ7DfI4SxaLdp | The ratio between the number of sheep and the number of horses at the Stewart farm is 1 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm? Select.
A) 18 B) 28 C) 32 D) 56 E) 8 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">8 * 100</gadget>
<output>800</output>
<gadget id="calculator">80 + 800</gadget>
<output>880</output>
<gadget id="calculator">12 * 1_000</gadget>
<output>12_000</output>
<gad... | E | calc |
ape210k__00630614 | 2000-meter-long highway is planted with poplar trees every 10 meters, and a maple tree is planted between every two poplar trees. How many maple trees are planted on both sides of this road? | <gadget id="calculator">2_000 / 10</gadget>
<output>200</output>
<gadget id="calculator">200 * 2</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
aqua_rat__86EHV88OG9c3liZJ | A pharmaceutical company received $5 million in royalties on the first $40 million in sales of and then $9 million in royalties on the next $210million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $40 million in sales to the next $210 million in sales?
Pick
A) 8... | (9/210)/(5/40) = 12/35 = 34% it means that 9/210 represents only 34%. Therefore a decrease of 66%. Answer 66%
<result>E</result> | E | calc |
aqua_rat__g5LM0kVTDPKbuofZ | On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 19 more transactions than Cal. How much transactions did Jade handled? Choose the correct choice from the following choices:
A) 80 B) 81 C) 82 D)... | Solution: Mabel handled 90 transactions Anthony handled 10% more transactions than Mabel Anthony = 90 + 90 Γ 10% = 90 + 90 Γ 0.10 = 90 + 9=
<gadget id="calculator">90 + 9</gadget>
<output>99</output>
99 Cal handled 2/3rds of the transactions than Anthony handled Cal= 2/3 Γ 99 = 66 Jade handled 19 mor... | E | calc |
ape210k__00376327 | In celebration of the "June 1st" cultural performance, a certain school uniformly made uniforms for the students participating in the performance. 45 custom-made tops, 80 yuan each; 46 custom-made pants, 55 yuan each. How much did the school spend on making these clothes? | <gadget id="calculator">45 * 80</gadget>
<output>3_600</output>
<gadget id="calculator">46 * 55</gadget>
<output>2_530</output>
<gadget id="calculator">3_600 + 2_530</gadget>
<output>6_130</output>
<result>6_130</result> | 6_130 | calc |
aqua_rat__TYqybh4LHGog1prd | In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ? Choose the correct choice from... | Say May income = 100 L's income = 60 and rest of the family = 40 In June L's income = 60 * 120 /100=
<gadget id="calculator">60 * 120 /100</gadget>
<output>72</output>
72 So 72 /72 + 40= 64% 64%NSWER:64%
<result>A</result> | A | calc |
aqua_rat__oiNFAnjj0Ncns2xO | For rs 600 Mr. Karan can buy a max of 24 cups of tea and for rs 1500 he can buy a maximum of 15 cups of coffee. He has 2200 in his pocket and purchase 8 cups of tea what is the max no of cups of coffee he can purchase with the remaining money? Choose the correct option.
A) 20 B) 30 C) 40 D) 50 E) 60 | Explanation: Let X = Rate of 1 cup of tea. And Y = Rate of 1cup of coffee. And Z = Max no of cups of coffee he can purchase with the remaining money. From question we have, X = 600/24=
<gadget id="calculator">600/24</gadget>
<output>25</output>
25. and Y= 1500/15=
<gadget id="calculator">1500/15</gadget>
... | A | calc |
ape210k__00174972 | There are 5 red balls, 2 yellow balls, and 3 white balls in a box, what is the probability of getting a red ball at the same time? | <gadget id="calculator">5 + 3 + 2</gadget>
<output>10</output>
<gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
math_qa__fSJVNrVl9DaCnYoG | thomas ' s age and matt ' s age are in the ratio 3 : 5 . two years ago the ratio of their ages was 5 : 9 . find the ratio of their ages 4 years hence ? Choose the correct choice from the following answers.
A) 1 : 2
B) 2 : 3
C) 3 : 4
D) 4 : 5
E) 5 : 6 | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calcul... | B | calc |
aqua_rat__sNYrpzzd4WNlkzGo | In how many different ways can the letters of the word MISSISSIPPI be arranged? Choose the correct choice from the following answers:
A) 11!/(4!4!2!)
B) 11!/4!
C) 11!/2!
D) 11!
E) 2Γ11! | Number of ways 11 letter can be arranged = 11! The 11! arrangement will also contain duplicates because of the characters that are repeated We have 4 S's =4! repeats We have 4 I's =4! repeats We have 2 P's =2! repeats So the total possible arrangement will be 11!/4!4!2! 11!/(4!4!2!)ns 11!/(4!4!2!)
<result... | A | calc |
aqua_rat__EyPvYhrKPfq2IXvy | The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child? Choose the most appropriate option:
A) 7 years
B) 9 years
C) 10 years
D) 4 years
E) ... | 28 * 2=
<gadget id="calculator">28 * 2</gadget>
<output>56</output>
56 22 * 3=
<gadget id="calculator">22 * 3</gadget>
<output>66</output>
66 ----------- 10 years Answer: 10 years
<result>C</result> | C | calc |
aqua_rat__WTjSgyGOvvBwrf6a | In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? Answers.
A) 175 B) 275 C) 375 D) 475 E) 575 | Suppose the man works overtime for x hours. Now, working hours in 4 weeks = (5 x 8 x 4) = 160. 160 x 2.40 + x x 3.20 = 432 3.20x = 432 - 384=
<gadget id="calculator">432 - 384</gadget>
<output>48</output>
48 x= 15. Hence, total hours of work = (160 + 15)=
<gadget id="calculator">(160 + 15)</gadget>
<output>... | A | calc |
ape210k__00442072 | Uncle Wang was born on March 3, 1972. How old is he as of March 3 this year? | <gadget id="calculator">2_015 - 1_972</gadget>
<output>43</output>
<result>43</result> | 43 | calc |
aqua_rat__SKBA71ZgUqam4t65 | X and Y started a business in partnership investing Rs. 8,000 and Rs. 12,000 respectively. After nine months, Z joined them with Rs. 20,000. What will be Z's share in total profit of Rs. 20,000 earned at the end of 3 years from the starting of the business? Choose the correct option:
A) Rs. 8,751 B) Rs. 8,571 C) Rs. 9,... | Solution: X : Y : Z = (8,000 * 36) : (12,000 * 36) : (20,000 * 27) = 8 : 12 : 15. So B's share = Rs. (20000 * 15/35) = Rs. 8,571. Answer: Option Rs. 8,571
<result>B</result> | B | calc |
ape210k__00035187 | The length of the box is 16 cm, the width is 2 cm, and the height is 1 cm. A cylindrical part has a base diameter of 2 cm and a height of 1 cm. What is the maximum number of parts that can be placed in this box? | <gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__L2h9FDAu5scseUns | At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s β 2). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Choose... | OA is definitely wrong. The answer should be $1.75.
<result>E</result> | E | calc |
ape210k__00888535 | Calculation: (9/20)-(11/30)+(13/42)-(15/56)+(17/72)-(19/90)+(21/110)-(23/132)+ (25/156)-(27/182). | <gadget id="calculator">9 / 20</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">11 / 30</gadget>
<output>11/30 = around 0.366667</output>
<gadget id="calculator">(9/20) - (11/30)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">13 / 42</gadget>
<output>13/42 = around 0.309... | 5/28 | calc |
ape210k__00022380 | The quotient of dividing two numbers is 20. If the divisor remains the same and the dividend is tripled, what is the quotient? | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00017152 | Xiaohong travels from A to B by boat at a speed of 6 km/h, and then returns along the original road by boat at a speed of 12 km/h, then Xiaohong travels on average per hour during the round trip by boat How many kilometers. | <gadget id="calculator">1 + 1</gadget>
<output>2</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">(1/6) + (1/12)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calcu... | 8 | calc |
aqua_rat__fIszcWdNTf9MsumH | The perimeters of two squares are 44 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares . Pick: A) 22 cm B) 24 cm C) 26 cm D) 30 cm E) 29 cm | Explanation: We know perimeter of square = 4(side) So Side of first square = 44/4=
<gadget id="calculator">44/4</gadget>
<output>11</output>
11 cm Side of second square= 32/4=
<gadget id="calculator">32/4</gadget>
<output>8</output>
8 cm Area of third Square= 11*11 - 8*8=
<gadget id="calculator">11*11 - 8*8<... | D | calc |
ape210k__00806219 | The cross-section of a ventilation pipe is a square with a side length of 0.5 meters and a length of 2.5 meters. If 100 such ventilation pipes are made of iron sheets, how many square meters of iron sheets are needed? | <gadget id="calculator">0.5 * 4 * 2.5 * 100</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
ape210k__01166529 | (1/5) of a number is 30, what is 25% of this number. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">30 / (1/5)</gadget>
<output>150</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">150 * (1/4)</gadget>
<output>75/2 = around 37.5</output>
<result>75/2 = aroun... | 75/2 | calc |
math_qa__ann8DI9T9qbfrPos | If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds?
Choose the correct choice from the following answers
A) 33 β 2
B) 15
C) 12
D) 22
E) none of these | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">33 / 11</gadget>
<output>3</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>B</result> | B | calc |
math_qa__MklD7HgymYHpUocr | out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second . what is the first number ? Choose the correct choice from the following: A) 5 B) 6 C) 7 D) 8 E) 9 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">4 + 12</gadget>
<output>16</output>
<gadget id="calculator">16 + 5</gadget>
<output>21</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculat... | C | calc |
ape210k__00355837 | Xiao Ming reads a story book, and has already read 80 pages, and there are (3/5) left to read, how many pages are there in the whole book? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">80 / (2/5)</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00698879 | When Xiao Ming calculated a division formula, he left out the decimal point of a dividend with one decimal place. After dividing by 42, the quotient is 12. What is the dividend in the original formula? | <gadget id="calculator">42 / 10</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">12 * (21/5)</gadget>
<output>252/5 = around 50.4</output>
<result>252/5 = around 50.4</result> | 252/5 | calc |
ape210k__01047299 | Cut a cube with side length 6cm into smaller cubes with side length 1cm, how many pieces can be cut? | <result>27</result> | 27 | calc |
ape210k__00861289 | Xiao Ming walks 75 meters per minute on foot, and it takes 16 minutes to walk from home to school. If it only takes 5 minutes to ride a bicycle, how many meters does he have to walk per minute by bicycle? | <gadget id="calculator">16 / 5</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">75 * (16/5)</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__00398881 | (3/5) of the total area of the campus is open space, and (2/3) of the open space is ready to be paved with lawns. What percentage of the total area of the campus is the lawn area? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/5) * (2/3)</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00766663 | The factory processes a batch of parts, if it processes 250 parts per day, it will take 14 days to complete. How many parts should be processed per day if it is to be completed in 10 days? | <gadget id="calculator">14 / 10</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">250 * (7/5)</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
aqua_rat__6lqe2rQbCgO9J0D3 | If a committee of 3 people is to be selected from among 6 married couples so that the committee does not include two people who are married to each other, how many such committees are possible? Choose the correct choice from the following choices:
A) 20 B) 40 C) 50 D) 80 E) 480 | Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 6C3=60. But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8. Total # of ways: 6C3*2^3=480. ... | E | calc |
ape210k__00706299 | If the side length of a square is (3/8) decimeters, what is its perimeter? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) * 4</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
ape210k__00532502 | There are two cylindrical buckets, A and B, the radius of the bottom of bucket A is 8 cm, the radius of the bottom of bucket B is 6 cm, bucket A has no water, bucket B has water, and the height is 25 cm, now put the water in bucket B Pour part of the water to Party A so that the height of the water in the two buckets i... | <gadget id="calculator">6 * 6 * 25</gadget>
<output>900</output>
<gadget id="calculator">900 / 100</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00402687 | What is the sum of all the factors of 42? | <gadget id="calculator">1 + 2 + 3 + 6 + 7 + 14 + 21 + 42</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00115389 | β‘*2=606, how much should be filled in β‘ | <gadget id="calculator">606 / 2</gadget>
<output>303</output>
<result>303</result> | 303 | calc |
aqua_rat__oPycOJ2Mom47wBfB | Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 65 marks. How many sums did Sandy get correct? Choose the correct answer:
A) 19
B) 21
C) 23
D) 25
E) 27 | Let x be the correct sums and (30-x) be the incorrect sums. 3x - 2(30-x) = 65 5x = 125 x = 25 The answer is 25.
<result>D</result> | D | calc |
aqua_rat__eEzzSh0JO5MSYFMW | In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choose the correct choice:
A) 41 B) 63 C) 72 D) 63 E) 50 | 44 + 28 + 10=
<gadget id="calculator">44 + 28 + 10</gadget>
<output>82</output>
82% 100 β 82= 18% 400 * 18/100=
<gadget id="calculator"> 400 * 18/100</gadget>
<output>72</output>
72 ANSWER:72
<result>C</result> | C | calc |
aqua_rat__JnsKd2Frs00jarul | If the price of a certain computer increased 30 percent from d dollars to 338 dollars, then 2d =
Choose the correct choice from the following: A) 540 B) 520 C) 619 D) 649 E) 700 | Before Price increase Price = d After 30% Price increase Price = d+(30/100)*D = 1.3d = 338 (Given) i.e. d = 338/1.3=
<gadget id="calculator">338/1.3</gadget>
<output>260</output>
$260 i.e. 2d= 2*260=
<gadget id="calculator">2*260</gadget>
<output>520</output>
520 Answer: option 520
<result>B</result> | B | calc |
aqua_rat__TnAfCrWlBF769h19 | By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choose the correct choice from the following answers:
A) 228 B) 267 C) 287 D) 480 E) 811 | SP = 600 CP = (SP)*[100/(100+P)] = 600 * [100/(100+25)] = 600 * [100/125] = Rs.480 Answer: 480
<result>D</result> | D | calc |
aqua_rat__Da2Cuj3S0P1DYskQ | A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective? Pick.
A) 90
B) 180
C) 210
D) 240
E) 864 | least number of cubes will be required when the cubes that could fit in are biggest. 3 is the biggest number that could divide all three, 27, 15 and 6. Thus side of cube must be 3, and total number of cubes = 27/3 * 15/3*6/3=
<gadget id="calculator">27/3 * 15/3*6/3</gadget>
<output>90</output>
90 90ns 90 it is.
... | A | calc |
ape210k__00657009 | A car travels from A to B at 40 km per hour and takes 6 hours to get there. If it takes 5 hours to arrive, how many kilometers per hour must be traveled? (Solve with ratio) | <gadget id="calculator">40 * 6</gadget>
<output>240</output>
<gadget id="calculator">240 / 5</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__01072681 | It takes 8 days for Team A to repair a road alone, and 10 days for Team B to repair it alone. After the two teams jointly repair 3 days, Team A will repair the remaining tasks alone. How many days will it take to complete? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) + (1/10)</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">(9/40) * 3</gadget>
<output>27/40 = around 0.675</output>
... | 13/5 | calc |
math_qa__5x5qQsaFVb73Ez1h | The current in a river is 8 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours? Choose the correct choice from the following:
A) 69 miles B) 84 miles C) 96 miles D) 100 miles E) 112 miles | <gadget id="calculator">20 - 8</gadget>
<output>12</output>
<gadget id="calculator">20 + 8</gadget>
<output>28</output>
<gadget id="calculator">12 * 28</gadget>
<output>336</output>
<gadget id="calculator">336 * 10</gadget>
<output>3_360</output>
<gadget id="calculator">28 + 12</gadget>
<output>40</output>
<gadget... | B | calc |
ape210k__00179846 | A conical pile of wheat has a circumference of 6.28 meters and a height of 0.5 meters. If each cubic meter of wheat weighs 750 kilograms, how many kilograms does the pile of wheat weigh? (keep one decimal place) | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6.28 / 3.14 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">750 * (1/3) * 3.14 * 1 * 0.5</gadget>
<output>392.5</output>
<result>392.5</result> | 392.5 | calc |
math_qa__XkhLjHNQmenGtzp0 | The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 60 kg. What is the correct weight? Choose the most appropriate option.
A) 58.6 kgs B) 58.85 kgs C) 58.95 kgs D) 59 kgs E) 59.85 kgs | <gadget id="calculator">58.4 * 20</gadget>
<output>1_168</output>
<gadget id="calculator">60 - 56</gadget>
<output>4</output>
<gadget id="calculator">1_168 + 4</gadget>
<output>1_172</output>
<gadget id="calculator">1_172 / 20</gadget>
<output>293/5 = around 58.6</output>
<result>A</result> | A | calc |
ape210k__00098033 | On a map with a scale of 1:1200000, the length of the road between A and B is measured to be 6 cm. How many hours does it take for a car to travel from city A to city B at an average speed of 60 kilometers per hour? | <gadget id="calculator">1 / 1_200_000</gadget>
<output>1/1_200_000 = around 0.000001</output>
<gadget id="calculator">6 / (1/1_200_000) / 100_000 / 60</gadget>
<output>6/5 = around 1.2</output>
<result>6/5 = around 1.2</result> | 6/5 | calc |
ape210k__00560202 | To make a cuboid cabinet with a length of 5dm, a width of 4dm, and a height of 2dm, how many dm**2 iron sheets are needed. | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">20 + 10 + 8</gadget>
<output>38</output>
<gadget id="calculator">38 * 2</gadget>
<output>76</output>
<result>76</re... | 76 | calc |
ape210k__00433853 | There is a box of 50 bottles of Sprite. After selling 20% of it, it is filled with 20% of the remaining Sprite in the box. How many bottles are loaded? | <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">50 * (4/5) * (1/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00937055 | Lin Lin has read a book with 182 pages in total. The ratio of the number of pages he has read to the number of pages he has not read is 2:5. How many pages have he read? | <gadget id="calculator">2 + 5</gadget>
<output>7</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">182 * (2/7)</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
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