id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00091373 | A's speed is 6 kilometers per hour faster than B's speed. When A reaches the end point, B still needs 10 minutes. When B reaches the end point, A has traveled 9 kilometers. Find the distance. | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">9 / (1/6)</gadget>
<output>54</output>
<gadget id="calculator">54 - 6</gadget>
<output>48</output>
<gadget id="calculator">(1/6) / 6</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">54 * 48 ... | 72 | calc |
math_qa__Zak4ZjQvYACGluaO | If the compound interest on a certain sum of money for 4 years at 10% per annum be Rs. 993, what would be the simple interest? Choose the most appropriate option.
A) rs . 880 B) rs . 890 C) rs . 1200 D) rs . 900 E) none | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">300 * 10</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 * 10</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 * 4</gadget>
<output>120_000</output>
<gadget id="calculator">120_000 / 100</gadget>
<outp... | C | calc |
ape210k__00363391 | What is the smallest incorrect fraction with a denominator of 7. | <gadget id="calculator">7 / 7</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00048541 | The perimeter of a rectangle is 112 cm, and the ratio of length to width is 4:3. What is the area of the rectangle in square centimeters? | <gadget id="calculator">4 + 4 + 3 + 3</gadget>
<output>14</output>
<gadget id="calculator">4 / 14</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">3 / 14</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">112 * (2/7) * 112 * (3/14)</gadget>
<output>768</output>
<result>7... | 768 | calc |
aqua_rat__7tUTzr7kLE2XbMTL | Working alone, machine X can manufacture 1,000 nails in 15 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Answers:
A) 3 9/17 B) 5 1/3 C) 7 D) 7 1/2 E) 8 4/7 | rate of machine x = 1000/15 (1000/15 + y)5=1000 y=200-200/3=400/3 400/3 * t = 1000 t=7 1/2 D. 7 1/2
<result>D</result> | D | calc |
ape210k__00356081 | A rope is used up (1/5), exactly 6 meters. How long is the rope in meters? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">6 / (1/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00184503 | If a rectangle is 2 cm long and 1.5 cm wide, what is the perimeter in cm? | <gadget id="calculator">2 + 1.5</gadget>
<output>3.5</output>
<gadget id="calculator">2 * 3.5</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00157372 | In physical education class, 60 students stand in a row facing the teacher, and count from left to right according to the teacher's password: 1, 2, 3, ..., 60, and then the teacher asks the students whose numbers are multiples of 4 to move forward Turn, and then let the students who reported the number that is a multip... | <gadget id="calculator">60 / 4</gadget>
<output>15</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">15 + 6</gadget>
<output>21</output>
<gadget id="calculator">60 - 21</gadget>
<output>39</output>
<gadget id="calculator">5 - 5</gadget>
<output>0</output>
<gadget id="calcul... | 39 | calc |
math_qa__tUKRLvQTog0zgHje | A company sells pens and pencils. The Revenue from pens in 2007 was up 5% from 2006. The revenue from pencils declined 13% over the same period. Overall revenue was down 1% from 06 to 07. What was the ratio of pencil revenue to pen revenue in 2006 Select
A) 1 / 2
B) 1 / 3
C) 1 / 4
D) 1 / 5
E) 1 / 6 | <gadget id="calculator">5 + 100</gadget>
<output>105</output>
<gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">105 - 99</gadget>
<output>6</output>
<gadget id="calculator">100 - 13</gadget>
<output>87</output>
<gadget id="calculator">99 - 87</gadget>
<output>12</output>
<gadget ... | A | calc |
aqua_rat__XhB4dYlPUSvaHXfk | Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper? Select the correct option.
A) A)1000 B) B)1055 C) C)965 D) D)1075 E) E)1080 | Cost of 8 kg grapes = 70 × 8 = 560. Cost of 9 kg of mangoes = 45 × 9 = 405. Total cost he has to pay = 560 + 405=
<gadget id="calculator">560 + 405</gadget>
<output>965</output>
965. 965)
<result>C</result> | C | calc |
ape210k__00632980 | The upper base of a trapezoid is 1.2 meters, the lower base is 3.8 meters, its area is 20.5 square meters, what is its height? | <gadget id="calculator">1.2 + 3.8</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">20.5 * (2/5)</gadget>
<output>8.2</output>
<result>8.2</result> | 8.2 | calc |
ape210k__00347599 | 257-101-102． | <gadget id="calculator">100 + 1</gadget>
<output>101</output>
<gadget id="calculator">100 + 2</gadget>
<output>102</output>
<gadget id="calculator">257 - 101 - 102</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
aqua_rat__rzapOjvI3Yqoa8KP | A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English? Select:
A) -2 B) 6 C) 7 D) 6 E) 18 | Given student scores 55% marks in english in 8 papers of 100 marks each. So,his total marks = 55/100 × 800 ⇒ 440 15% of his 440 marks is 440 × (15/100) ⇒ 66 So, he scored 66 marks in english. Ans is option-2. -2nswer:-2
<result>A</result> | A | calc |
ape210k__00212328 | If a piece of wood is sawn into 6 sections, the time it takes to saw the next section is the time to complete the work | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00004458 | A barrel of oil, use up its (1/6) for the first time, and use up (1/4) for the second time. If 3 kilograms are used up for the third time, how many kilograms are used for the first time? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/6) - (1/4)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">3 / (7/12)</gadget>
<output>36/7 = around 5.142857... | 6/7 | calc |
ape210k__00575639 | The school wants to buy a batch of chairs, and 8 chairs can be bought with 200 yuan. The existing 850 yuan, to buy 48 chairs, how much is the difference. | <gadget id="calculator">200 / 8</gadget>
<output>25</output>
<gadget id="calculator">48 * 25</gadget>
<output>1_200</output>
<gadget id="calculator">1_200 - 850</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
ape210k__00744231 | A car wash shop pays 200 yuan for 10 car washes in cash, but only 150 yuan for 10 car washes with a car wash card. How much cheaper is it to wash a car with a car wash card than to pay cash? | <gadget id="calculator">200 / 10</gadget>
<output>20</output>
<gadget id="calculator">150 / 10</gadget>
<output>15</output>
<gadget id="calculator">20 - 15</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00539267 | The school has surrounded a rectangular vegetable field with a 240m long fence as a practical activity base for sixth graders. If the length of this vegetable field is 82.5m, how many meters is the width of this vegetable field? (solution by equation) | <gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">120 - 82.5</gadget>
<output>37.5</output>
<result>37.5</result> | 37.5 | calc |
gsm8k__LgpCQi1kPq8rub2Z | Dennis wants to buy 4 pairs of pants from the store which cost $110.00 each with a 30% discount and he also wants to buy 2 pairs of socks which cost $60.00 with a 30% discount. How much money will Dennis have to spend in total after he bought all the items he wants after the discount? | Dennis wants to buy 4 pairs of pants which cost 110x4= $
<gadget id="calculator">110*4</gadget>
<output>440</output>
440.
And he also wants to buy 2 pairs of socks that cost 60x2= $
<gadget id="calculator">60*2</gadget>
<output>120</output>
120.
The total amount he needs to spend without the discount is 440+120= $
<gad... | 392 | calc |
ape210k__00629186 | A car travels an average of 80 kilometers per hour. From 9:00 a.m. to 2:00 p.m., how many kilometers has it traveled in total? | <gadget id="calculator">5 * 80</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00609177 | The two ports A and B are 1200 kilometers apart. The two ships set off opposite each other at the same time. After traveling for 9 hours, the ratio of the distance traveled by the two ships to the remaining distance is 3:5. How many hours will the two ships still need to pass meet? | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">9 * (5/3)</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00216997 | To make the ratio of 0.5:x just the smallest prime number, what should be the value of x. | <gadget id="calculator">0.5 / 2</gadget>
<output>0.25</output>
<result>0.25</result> | 0.25 | calc |
ape210k__00526875 | Xiaodong counts, counting from 9 to 99, how many numbers does Xiaodong count. | <gadget id="calculator">99 - 9</gadget>
<output>90</output>
<gadget id="calculator">90 + 1</gadget>
<output>91</output>
<result>91</result> | 91 | calc |
ape210k__00383821 | The following are the estimates of several students on the 817*3 product. The correct one is larger than | <gadget id="calculator">800 * 3</gadget>
<output>2_400</output>
<result>2_400</result> | 2_400 | calc |
ape210k__00827363 | Divide a cube painted red into several small cubes with a volume of 1 cubic centimeter. Among them, there is only one small cube with no red at all. What is the volume of the original cube? | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
aqua_rat__BJg0MSR1ndhbJ3lF | A speaks truth in 75% and B in 80% cases. In what percentage of cases are they likely to contradict each other when narrating the same incident?
Choose the correct option:
A) 35
B) 30
C) 25
D) 20
E) None of these | Let the truth spoken by A and B be pl and p2 respectively, i.e., pl = 3⁄4 and p2 = 4⁄5 They will contradict each other only when one speaks truth and the other is lying. i.e., 3⁄4 × 1⁄5 + 4⁄5 × 1⁄4 = 3⁄20 + 4⁄20 = 7⁄20 = 35⁄100 i.e, 35% 35nswer 35
<result>A</result> | A | calc |
math_qa__jyo2cod18w2vrkVJ | If 15 lions can kill 15 deers in 15 minutes how long will it take 100 lions to kill 100 deers? Choose the most appropriate option
A) 1 minutes B) 15 minute C) 100 minutes D) 10000 minutes E) 1000 minutes | <gadget id="calculator">15 / 15</gadget>
<output>1</output>
<gadget id="calculator">1 * 15</gadget>
<output>15</output>
<result>B</result> | B | calc |
aqua_rat__TgzVnoY0xvYW9Gt7 | A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choose the most appropriate option
A) 1/16 B) 12/14 C) 33/91 D) 8/22 E) 9/36 | Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²33/91â‚„/¹âµ33/91â‚„ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91 Answer: 33/91
<result>C</result> | C | calc |
ape210k__00556120 | Cut a cylinder into the largest cone, and the volume of the cone obtained is 18 cubic centimeters. What is the original volume of the cylinder in cubic centimeters? | <gadget id="calculator">18 * 3</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00627660 | The original grain shop had (3/5) tons of rice, and (1/4) tons were shipped in, and (3/4) tons were sold. How many tons are left? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/4) - (3/4)</gadget>
<output>-1/2 = around -0.5</output>
<gadget id="... | 1/10 | calc |
ape210k__01058751 | Xiao Ming is 1.42 meters tall. He stands on the stool 0.18 meters higher than the door, and the door is 2.25 meters high. So how high is the stool? | <gadget id="calculator">0.18 - 1.42</gadget>
<output>-1.24</output>
<gadget id="calculator">2.25 + (-1.24)</gadget>
<output>1.01</output>
<result>1.01</result> | 1.01 | calc |
ape210k__00933649 | How much/2=105...1. | <gadget id="calculator">105 * 2</gadget>
<output>210</output>
<gadget id="calculator">210 + 1</gadget>
<output>211</output>
<result>211</result> | 211 | calc |
math_qa__hAOg4oRGnVjSso63 | Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 2000 then loss of Pyarelal? Choose the correct choice from the following choices
A) 1600 B) 1700 C) 1800 D) 1900 E) 1000 | <gadget id="calculator">9 * 2_000</gadget>
<output>18_000</output>
<gadget id="calculator">1 + 9</gadget>
<output>10</output>
<gadget id="calculator">18_000 / 10</gadget>
<output>1_800</output>
<result>C</result> | C | calc |
aqua_rat__fcZ0nkLz1zSsRDFt | On the blueprint there are 4 line measurements A, B, C, and D. If A:B = .437/.762, B:C = .762/3, C:D = 3/.146, then what is the total measurement for line B:D? Choose the correct choice from the following.
A) 3.937 B) 1 C) 5.219 D) 20.547 E) 20.548 | Solution A : B = .437 : .762, B : C = .762 : 3, C : D = 3 : .146 ∴A∶B∶C∶D= .437 : .762 : 3 : .146. Thus, B : D = .762 : .146 5.219orrect Option 5.219
<result>C</result> | C | calc |
ape210k__00646107 | A batch of chemical fertilizer is used up (3/4), leaving 20 tons. How many tons is this batch of fertilizer? What is the correct column | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / (1/4)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
aqua_rat__AN4vPy7vje13UsaF | Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Pick one
A) 9 B) 10 C) 11 D) 12 E) 13 | Due to stoppages, it covers 9 km less. Time taken to cover 9 km = 9/54 x 60 min = 10 min. answer :10
<result>B</result> | B | calc |
ape210k__00599761 | There are several seedlings of A and B in a certain nursery. The average height of seedlings of type A is 80 cm, the average height of seedlings of type B is 200 cm, and the average height of seedlings of type A and B is 150 cm. If there are 30 seedlings of type A, then , How many saplings of type B are there? | <gadget id="calculator">150 * 30</gadget>
<output>4_500</output>
<gadget id="calculator">30 * 80</gadget>
<output>2_400</output>
<gadget id="calculator">4_500 - 2_400</gadget>
<output>2_100</output>
<gadget id="calculator">200 - 150</gadget>
<output>50</output>
<gadget id="calculator">2_100 / 50</gadget>
<output>42... | 42 | calc |
aqua_rat__0auhSre6ijPcYwIO | How many 7 digit number are there having the digit 3 three times & the digit 5 four times? Pick
A) 7!/(3!)(5!) B) 3^3 * 5^5 C) 77 D) 35 E) 38 | Explanation : 7!/3!*4!=35 Answer : 35
<result>D</result> | D | calc |
ape210k__01128901 | The volume of a cone is 157 cubic decimeters and the radius of the base is 2 decimeters. What is the height of the cone? | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">157 / 12.56 / (1/3)</gadget>
<output>37.5</output>
<result>37.5</result> | 37.5 | calc |
ape210k__00040262 | Xiaopang and Xiao Dingding insist on exercising early every day. Xiaopang runs for 12 minutes every morning, and his speed is about 110 m/min. The same road Ding Ding needs to run for 11 minutes, what is the approximate speed of Ding Ding? | <gadget id="calculator">110 * 12</gadget>
<output>1_320</output>
<gadget id="calculator">1_320 / 11</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00086952 | (1/2)+((1/4)+(3/4))+((1/6)+(3/6)+(5/6))+…+((1/100)+( 3/100)+(5/100)+...+(99/100))= how much. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + 50</gadget>
<output>51</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">51 * 25</gadget>
<output>1_275</output>
<gadget id="calculator">(1/2) * 1_275</gadget>
<output>1_27... | 1_275/2 | calc |
aqua_rat__wLJgVfxKAJ8PpiaW | If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4340 , R will receive Choose the most appropriate option
A) 600 B) 700 C) 840 D) 900 E) None of these | Explanation : Let P's capital = p, Q's capital = q and R's capital = r Then 4p = 6q = 10r => 2p = 3q = 5r =>q = 2p/3 r = 2p/5 P : Q : R = p : 2p/3 : 2p/5 = 15 : 10 : 6 R's share = 4340 * (6/31) = 140*6=
<gadget id="calculator">140*6</gadget>
<output>840</output>
840. Answer : Option 840
<result... | C | calc |
ape210k__00226255 | One factor remains unchanged, the other factor is reduced to the original (1/40), and the product is also reduced to the original value | <gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>
<result>1/40 = around 0.025</result> | 1/40 | calc |
ape210k__00444259 | The price of socks is 6 yuan, and the price of pants is 8 times that of socks. How much are the pants? | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__01199869 | On a map with a scale of 1:4500000, the distance between the two cities is 6 cm. What is the actual distance between the two cities? | <gadget id="calculator">1 / 4_500_000</gadget>
<output>1/4_500_000 = around 0</output>
<gadget id="calculator">6 / (1/4_500_000) / 100_000</gadget>
<output>270</output>
<result>270</result> | 270 | calc |
math_qa__cNJvdhbMpbycxsRN | A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 72, then how old is B? Pick
A) 28 years B) 19 years C) 29 years D) 10 years E) 12 years | <gadget id="calculator">72 - 2</gadget>
<output>70</output>
<gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">140 / 5</gadget>
<output>28</output>
<result>A</result> | A | calc |
ape210k__00217552 | There are several bamboo poles of different lengths inserted in the playground. After measuring, Xiaojun calculates that the ratio of the length of these bamboo poles to the corresponding shadow length is (2/3). At the same time, he also measures that the shadow length of the flagpole is 6 What is the actual height of ... | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(2/3) / (1/6)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00632486 | There are two colored ribbons each 2 meters long. The first ribbon is 50cm long, and the second ribbon is 75cm long. Which ribbon is the longest left? How many centimeters are left in the two ribbons? | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">200 - 50</gadget>
<output>150</output>
<gadget id="calculator">200 - 75</gadget>
<output>125</output>
<gadget id="calculator">150 + 125</gadget>
<output>275</output>
<result>275</result> | 275 | calc |
ape210k__00617036 | The three sides of a triangle vegetable field are 24 meters, 17 meters, and 16 meters long respectively. What is the perimeter of this triangle vegetable field? | <gadget id="calculator">24 + 17 + 16</gadget>
<output>57</output>
<result>57</result> | 57 | calc |
ape210k__00468642 | The store shipped 32 boxes of white ping-pong balls, 12 in each box, and 25 boxes of yellow ping-pong balls, 18 in each box. How many boxes of ping-pong balls did the store ship in total? | <gadget id="calculator">32 + 25</gadget>
<output>57</output>
<result>57</result> | 57 | calc |
gsm8k__eE89RrD323kpfgvt | Neil charges $5.00 to trim up each boxwood. He charges $15.00 to trim it into a fancy shape. The customer wants the entire 30 boxwood hedge trimmed up. He has also asked for 4 specific boxwoods shaped into spheres. How much will Neil charge? | He has 30 boxwoods to trim and will charge $5.00 each so he will charge 30*5 = $
<gadget id="calculator">30*5</gadget>
<output>150</output>
150.00.
He will shape 4 boxwoods into spheres for $15.00 each so he will charge 4*15 = $$
<gadget id="calculator">4*15</gadget>
<output>60</output>
60.00.
All total he will charge ... | 210 | calc |
ape210k__00305745 | A car transports the poles to the line, and loads them from the starting point, pulling 4 poles each time. The distance between every two poles on the line is 50 meters, and it is transported twice. It takes 3 hours to return to the original place after loading and unloading. It takes 30 minutes to load a car and 5 min... | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">30 * (4/3)</gadget>
<output>40</output>
<gadget id="calculator">40 - 0.3 - 0.3 - 0.4</gadget>
<output>39</output>
<gadget id="calculator">39 / 4</gadget>
<output>39/4 = around 9.75</output>
<result>39/4 = around 9.... | 39/4 | calc |
aqua_rat__6UZrbyvnexGX5pCb | Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Choose one:
A) 6.3 B) 5.2 C) 4.9 D) 10.8 E) 10.5 | Answer: Option D Relative speed = 60 + 40=
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
100 km/hr.= 100 * 5/18 = 250/9 m/sec. distance covered in crossing each other = 140 + 160=
<gadget id="calculator">140 + 160</gadget>
<output>300</output>
300 m. Required time= 300 * 9/250 = 54/5=
<gadget i... | D | calc |
ape210k__00261321 | If a/6.8=96.2, then a/0.68=how much. | <gadget id="calculator">96.2 * 10</gadget>
<output>962</output>
<result>962</result> | 962 | calc |
aqua_rat__5hcW84TFpEXjLlFv | A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different arrangements of plays can be run, if the same play can’t be run more than once? Choose the correct choice from the following options: ... | P=3, R=4, and T=2. There are following cases possible: 1. Different kinf of plays: PRT (Any combination) = 3*4*2*3!=144. 2. Two same kind of plays and one from other kind of play: PPR (Any combination. Notice that the two P's here must be different) = C23∗4∗3!=72C32∗4∗3!=72; PPT = C23∗2∗3!=36; RRP = C24∗3... | D | calc |
ape210k__00603226 | The two angles of a triangle are 35° and 53°, what is the measure of the third angle? | <gadget id="calculator">180 - 35 - 53</gadget>
<output>92</output>
<result>92</result> | 92 | calc |
aqua_rat__cXAKb8T5Qzl6eIap | A manufacturer of a certain product can expect that between 0.4 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 uni... | Number of defective units is between = .4 % of 20000 and .5% of 20000 = 80 and 100 Retail Price per unit = 2500 $ Expected price of refund is between = 2500 x 80 and 2500 x 100 =2,00,000 and 2,50,000 dollars Answer Between $200,000 and $250,000
<result>C</result> | C | calc |
ape210k__00551253 | □/13=5…□, what is the largest dividend. | <gadget id="calculator">13 * 5</gadget>
<output>65</output>
<gadget id="calculator">65 + 12</gadget>
<output>77</output>
<result>77</result> | 77 | calc |
aqua_rat__1SuXYKqmR8AzWrkD | Solve below question 2x + 1 = -17 Choices
A) -8
B) -9
C) 9
D) 8
E) -7 | 1. Subtract 1 from both sides: 2x + 1 - 1 = -17 - 1 2. Simplify both sides: 2x = -18 3. Divide both sides by 2: 4. Simplify both sides: x = -9 -9
<result>B</result> | B | calc |
gsm8k__AVP4Vdt0rd4cDslN | Cole wants to fence his backyard on three sides. His backyard is 9 feet along the sides and 18 feet along the back. The neighbor behind him agreed to pay for half of their shared side of his fence, and the neighbor on his left agreed to pay for a third of their shared side. Fencing costs $3 per foot. How much does Cole... | Cole has to pay 3 * 9 = $
<gadget id="calculator">3*9</gadget>
<output>27</output>
27 for one side of the side fence.
For the shared left fence, he has to pay two-thirds of 27, so he has to pay 27 * 2 / 3 = $
<gadget id="calculator">27*2/3</gadget>
<output>18</output>
18.
The shared back fence will cost 3 * 18 = $
<gad... | 72 | calc |
aqua_rat__XRurjQdOxtk9CrkE | In a ratio which is equal to 7:9, if the antecedent is 42, then the consequent is? Choose the correct choice from the following answers:
A) 72
B) 54
C) 64
D) 51
E) 45 | We have 7/9 = 42/x 7x = 42*9 x = 54 consequent = 54 Answer is 54
<result>B</result> | B | calc |
ape210k__00406398 | Haorunjia Restaurant shipped 115 kilograms of tomatoes, 5 kilograms less than three times the amount of cucumbers. How many kilograms of cucumbers were shipped? (answer in two ways) | <gadget id="calculator">115 + 5</gadget>
<output>120</output>
<gadget id="calculator">120 / 3</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00755931 | The teacher gave two thinking questions to the students in the class. After correcting, he found that: everyone in the class got at least one question right, 30 people got the first question right, 25 people got the second question right, and they got both questions right There are 13 people. Please do the math, how ma... | <gadget id="calculator">25 - 13</gadget>
<output>12</output>
<gadget id="calculator">30 + 12</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__01196639 | After 200 kg is increased by 20%, then decreased by 20%, what is the result in kg? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">200 * (6/5) * (4/5)</gadget>
<output>192</output>
<result>192<... | 192 | calc |
ape210k__00163402 | Xiaohua has 2 routes from home to the mall, and 3 routes from the mall to the park, so how many routes can Xiaohua take from home to the park? | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00922433 | A (1/4) whose sum with (2/5) equals 4, what is this number? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * (1/4)</gadget>
<output>1</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</resu... | 3/5 | calc |
ape210k__00836183 | It took Xiao Ming 15 minutes to go from home to the library, and only 12 minutes to return. The return speed is the speed when he went. | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 12 / (1/15)</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00132887 | Simple calculation: 50.4*10.1. | <gadget id="calculator">50.4 * 10.1</gadget>
<output>509.04</output>
<result>509.04</result> | 509.04 | calc |
ape210k__00040159 | The length of a bamboo pole is equal to (3/4) its own length plus (2/5) meters, what is the total length of this bamboo pole in meters? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/5) / (1/4)</gadget>
<output>8/5 = around 1.6</output>
<result>8/... | 8/5 | calc |
ape210k__00599390 | Xiaoming did 12 math problems, which belonged to Xiao Hong (2/3), and the math problems done by Xiao Hong belonged to Xiao Gang (3/5). How many math problems did Xiao Gang do? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">12 / (2/3) / (3/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00259979 | Mom spent 120 yuan to buy a piece of clothing that was sold at a "20% discount". What was the original price of this piece of clothing? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">120 / (4/5)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__apRrYIyLlCFIL7qj | A clock gains 15 minutes per day. It is set right at 12 noon. What time will it show at 4.00 am, the next day? Choose the most appropriate option:
A) 4 : 10 am B) 4 : 45 am C) 4 : 20 am D) 5 : 00 am E) None of these | The clock gains 15 min in 24 hours. Therefore, in 16 hours, it will gain 10 minutes. Hence, the time shown by the clock will be 4.10 am. 4 : 10 amnswer 4 : 10 am
<result>A</result> | A | calc |
ape210k__00230587 | From 4 boys and 3 girls, choose a boy and a girl to participate in the chorus, how many different ways are there to choose? | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__01152177 | One number 60 is 20% less than the other number, what is the other number? | <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">60 / (4/5)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00090659 | On the map with a scale of 1:2500000, the straight-line distance from point A to point B is 6cm. Because the road has curves, the actual distance of the road is 1.2 times the straight-line distance. There are two buses at the same time. A and B start from two places and drive toward each other. After 1.5 hours, the two... | <gadget id="calculator">1 / 2_500_000</gadget>
<output>1/2_500_000 = around 0</output>
<gadget id="calculator">1_000 * 100</gadget>
<output>100_000</output>
<gadget id="calculator">6 / (1/2_500_000) / 100_000</gadget>
<output>150</output>
<gadget id="calculator">1.2 / 1.5</gadget>
<output>0.8</output>
<gadget id="c... | 40 | calc |
aqua_rat__O1J795bEJkMV9gGF | A certain company had a total annual expenditure of 2.1∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Choose the correct choice:
A) $20,000
B) $25,000
C) $35,000
D) $40,000
E) $50,000 | Given: Total annual expenditure of 2.1∗10^7 on employee salaries Total employees = 420 Observe that 420*5=
<gadget id="calculator"> 420*5</gadget>
<output>2_100</output>
2100 Therefore try to bring the numerator in terms of 2100 Average salary= (2100*10^4) /420 = 5*10^4 = 50,000 Option $50,000
<result>E</re... | E | calc |
ape210k__00110625 | The young pioneers participated in the 2006 summer camp. They set off on July 18 and came back on August 8. How many days has the summer camp been held? | <gadget id="calculator">31 - 18</gadget>
<output>13</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">13 + 7</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__eKJ4jiyFqqBJQ5AX | Wanda baked 168 cookies, packaged them in boxes of 12, and sold each box for
$1.20.How many boxes of 12 can be packaged if there are 168 cookies?What was
the total amount of money that Wanda made for all of the boxes sold? Choose the correct choice:
A) $26.80 B) $36.80 C) $46.80 D) $76.80 E) $16.80 | Divide 168 ÷ 12 = 14 Multiply $1.20 x 14 = $16.80 correct answer $16.80
<result>E</result> | E | calc |
aqua_rat__9LHD7ijOk75ZcYbx | What will come in place of the x in the following Number series? 49920, 4160, 416, x Answers
A) 52 B) 3 C) 4 D) 5 E) 6 | 49920 /12=
<gadget id="calculator">49920 /12</gadget>
<output>4_160</output>
4160 3840 /10= 416 416 /8=
<gadget id="calculator">416 /8</gadget>
<output>52</output>
52 52
<result>A</result> | A | calc |
aqua_rat__yE3tQ6mJpwMVUjNf | Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability Q that Kate has more than $10 but less than $15? Select:
A) 5/16 B) 1/2 C) Q=12/3... | For 21 heads Kate will end up with < $10 and we want her to win. Therefore, only possibilities are 3 or 4 heads. I made an educated guess and it worked fine. Ans- 'D' MGMAT's anagram helped here as well. HHHHT = 5!/4!*1! = 5 HHHTT = 5!/3!*2! = 10 Total acceptable cases = 15 Total cases = 32 P = 15/32... | D | calc |
aqua_rat__HiKD3542qEZEgMps | The true discount on a bill of Rs.8640 is Rs.1440.The banker's discount is Select
A) 1428
B) 1528
C) 1628
D) 1728
E) None of these | Solution P.W = Rs.(8640 - 1440) = Rs. 720 S.I on Rs. 8640 =Rs.(1440/7200 x 8640) = Rs. 1728. Answer 1728
<result>D</result> | D | calc |
ape210k__00947049 | The radius of the base of a cylinder is 4 decimeters, and the lateral area of the cylinder is 62.8 square decimeters. What is the surface area of the cylinder? | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16 * 2</gadget>
<output>100.48</output>
<gadget id="calculator">62.8 + 100.48</gadget>
<output>163.28</output>
<result>163.28</result> | 163.28 | calc |
aqua_rat__TQZ6pGXZpiSkROLY | Walking at 40% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? Choose the correct choice.
A) 16
B) 36
C) 42
D) 48
E) 54 | speed is inversly proprtional to time walking at 40% of speed meand 2/5s takes 5/2t. It takes 24 minutes extra to cover the distance. then 5/2t=t+24 5t=2t+48 3t=48 t=16. Option 16 is correct
<result>A</result> | A | calc |
ape210k__00401299 | A road repair team built a total of 80 kilometers of roads in the first 6 days, and an average of 26.8 kilometers of roads every day in the next 10 days. How many kilometers of roads does this road repair team build on average every day? | <gadget id="calculator">26.8 * 10</gadget>
<output>268</output>
<gadget id="calculator">80 + 268</gadget>
<output>348</output>
<gadget id="calculator">6 + 10</gadget>
<output>16</output>
<gadget id="calculator">348 / 16</gadget>
<output>87/4 = around 21.75</output>
<result>87/4 = around 21.75</result> | 87/4 | calc |
gsm8k__Wz8IQ913TnZMDZWb | Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have? | 12 inches is 1 foot and they received a .5 foot of snow on the first day so they received 12*.5 =
<gadget id="calculator">12*.5</gadget>
<output>6</output>
6 inches of snow.
The first day they had 6 inches and then received another 8 inches for a total of 6+8 =
<gadget id="calculator">6+8</gadget>
<output>14</output>... | 2 | calc |
aqua_rat__DUhMpC68zP93cwlx | Today David is twice as old as Sam and Sam is 3 years younger than Dravid. If David, Sam, and Dravid are all alive 4 years from today, which of the following must be true on that day.
I. David is twice as old as Sam
II. Sam is 3 years younger than Dravid
III. David is older than Dravid
Options
A) II
B) I, II & III
C) I... | Say Dravid age is 10 Sam age is 7 David age is 14 After 4 years Dravid age is 14 Sam age is 11 David age is 28 i.e ) after 4 years Sam is 3 years younger than David David is twice as old as Sam David is older than Dravid Answer : I, II & III
<result>B</result> | B | calc |
ape210k__00768843 | (1/1)+(1/2)+(2/2)+(1/3)+(2/3)+(3/3)+(1/4)+(2/4)+(3 /4)+(4/4)+...+(1/10)+(2/10)+...(9/10)+(10/10). | <gadget id="calculator">27.5 + 5</gadget>
<output>32.5</output>
<result>32.5</result> | 32.5 | calc |
ape210k__00018974 | The school newly bought 420 books, and the teacher plans to distribute them equally to six classes. There are 35 students in our class. How many books can each person get on average? | <gadget id="calculator">420 / 6 / 35</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__01067453 | neat stack of exercise books is placed on the table, occupying an area of 450cm**2. If the height of the stack of exercise books is 22 cm, how many cubic centimeters does it occupy? | <gadget id="calculator">450 * 22</gadget>
<output>9_900</output>
<result>9_900</result> | 9_900 | calc |
ape210k__00931221 | Submerge an iron block with a volume of 80 cubic centimeters in a cuboid container with a square bottom and a perimeter of 20 cm. The height of the water surface is 10 cm. If the iron block is taken out, how high is the water surface? | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">80 / 25</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">10 - (16/5)</gadget>
<output>34/5 = around 6.8</output>
<result>34/5 = around 6.8</result> | 34/5 | calc |
ape210k__01154703 | There is a piece of wood that needs to be sawn into 5 pieces. It takes 5 minutes to saw each part, how many minutes will it take to saw all the parts. | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00449159 | The florist brought in 624 Chinese roses, and every 12 flowers were tied into a bunch. In the morning, 34 bunches were sold. How many bunches of Chinese roses are left in the florist? | <gadget id="calculator">624 / 12</gadget>
<output>52</output>
<gadget id="calculator">52 - 34</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00363170 | A division problem, the divisor is 8, Xiaoqiang mistook the divisor as 6, and the result of the calculation is quotient 28 with a remainder of 5. What is the correct result? | <gadget id="calculator">6 * 28</gadget>
<output>168</output>
<gadget id="calculator">168 + 5</gadget>
<output>173</output>
<gadget id="calculator">173 / 8</gadget>
<output>173/8 = around 21.625</output>
<result>173/8 = around 21.625</result> | 173/8 | calc |
aqua_rat__oJj5a604LBGqRFfw | On a partly cloudy day, john decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the... | If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distanc... | B | calc |
ape210k__01212825 | A factory plans to produce 2400 machine parts, 1860 have already been produced, and the rest produce 27 per day. How many days will it take to complete the task? | <gadget id="calculator">2_400 - 1_860</gadget>
<output>540</output>
<gadget id="calculator">540 / 27</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__01085255 | If 110 notebooks are evenly distributed to the students in class A, then there will be 5 more; and if 210 notebooks are evenly distributed to the students of this class, it will be just finished; if 240 notebooks are evenly distributed to the students of this class, there will be less 5. How many students are there in ... | <gadget id="calculator">5 * 7</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
aqua_rat__rFgBk5ZL88eNvreO | If x+|x|+y=2 and x+|y|-y=6 what is x+y=?
Select the correct option:
A) 1 B) -1 C) 3 D) 5 E) 13 | If x<0 and y<0, then we'll have x-x+y=7 and x-y-y=6. From the first equation y=7, so we can discard this case since y is not less than 0. If x>=0 and y<0, then we'll have x+x+y=7 and x-y-y=6. Solving gives x=4>0 and y=-1<0 --> x+y=3. Since in PS questions only one answer choice can be correct, th... | A | calc |
ape210k__00665115 | (2/3) of a number is 30, what is 80% of this number? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">30 / (2/3)</gadget>
<output>45</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">45 * (4/5)</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00848803 | Since January 1, 2006, the new personal income tax collection standard has been implemented. According to this standard, personal income tax is levied on the part of the monthly wage income exceeding 1,600 yuan; if the excess is within 500 yuan (including 500 yuan), it will be taxed at 5%; Taxation... Uncle Zhang's mon... | <gadget id="calculator">2_080 - 1_600</gadget>
<output>480</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">480 * (1/20)</gadget>
<output>24</output>
<gadget id="calculator">2_080 - 24</gadget>
<output>2_056</output>
<result>2_056</result> | 2_056 | calc |
aqua_rat__yzjLxLsEGQ2NxMW2 | Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007 Choose the correct choice from the following answers:
A) 1056787 B) 1076658 C) 1079767 D) 10799... | Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100) = P (1 + 15/100)(1 - 35/100)(1 + 45/100) = 1083875 1083875
<result>E</result> | E | calc |
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