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gsm8k__suMwaCKIrfVBOEt8
Genevieve is a computer programmer working on information security software. She has written 4300 lines of code so far. Every 100 lines of code, she debugs the program. If each debugging only finds three errors, and Genevieve fixes the errors each time before proceeding, how many errors has she fixed so far?
Genevieve has debugged the program 4300 / 100 = <gadget id="calculator">4300/100</gadget> <output>43</output> 43 times. Thus, she has fixed 43 * 3 = <gadget id="calculator">43*3</gadget> <output>129</output> 129 errors so far. <result>129</result>
129
calc
ape210k__00176355
The fruit store shipped 560 kilograms of apples, and the number of oranges shipped was 1.5 times that of apples. How many kilograms of oranges did the fruit store ship?
<gadget id="calculator">560 * 1.5</gadget> <output>840</output> <result>840</result>
840
calc
mawps__tt35PcmYkgWk8l49
Kent had 211 Doll. Jaime grabbed some Doll. Now Kent has 17 Doll. How many did Jaime grabbeds?
<gadget id="calculator">211 - 17</gadget> <output>194</output> <result>194</result>
194
calc
aqua_rat__Jgzm4xahQz3f7ys3
Three candidates contested an election and received 80020, 22908 and 45000 votes respectively. What percentage of the total votes did the winning candidate get ? Choose the correct option: A) 57.20% B) 54.09 C) 45.10% D) 64.10% E) 55.10%
Explanation : Total number of votes polled = (80020+22908+45000)= <gadget id="calculator">(80020+22908+45000)</gadget> <output>147_928</output> 147928. Required percentage= (80020/147928) X 100% = 54.09%. Answer :54.09 <result>B</result>
B
calc
math_qa__gynotZN8kZRfwV6Z
If the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters? Choose the correct answer: A) 4 B) 8 C) 12 D) 9 E) 18
<gadget id="calculator">6 ** 2</gadget> <output>36</output> <gadget id="calculator">36 / 4</gadget> <output>9</output> <result>D</result>
D
calc
ape210k__00628974
A class lasts 40 minutes, the teacher spends (1/3) hour lecturing, students spend (1/6) hour communicating and discussing, and the rest of the time students do homework, how much time do students spend on homework?
<gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">1 / 6</gadget> <output>1/6 = around 0.166667</output> <gadget id="calculator">(2/3) - (1/3) - (1/6)</gadget> <output>1/6 = around 0.16666...
1/6
calc
ape210k__00617641
4-1/2-(1/2)*7.
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">(1/2) * 7</gadget> <output>7/2 = around 3.5</output> <gadget id="calculator">4 - (1/2) - (7/2)</gadget> <output>0</output> <result>0</result>
0
calc
math_qa__2dB0r4jOY8FAJYfS
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. Find the number of participants. Choose the correct choice from the following answers. A) 15 B) 16 C) 17 D) 18 E) 19
<gadget id="calculator">171 * 2</gadget> <output>342</output> <gadget id="calculator">342 * 4</gadget> <output>1_368</output> <gadget id="calculator">1_368 + 1</gadget> <output>1_369</output> <gadget id="calculator">1_369 ** (1/2)</gadget> <output>37</output> <gadget id="calculator">37 + 1</gadget> <output>38</outp...
E
calc
ape210k__00590558
Multiply the denominator of (3/5) by 2, what is the numerator to keep the size of the fraction constant.
<result>2</result>
2
calc
aqua_rat__oCx1k7V35j5AdUu3
A train covered half of the distance between stations A and B at the speed of 48 km/hr, but then it had to stop for 15 min. To make up for the delay, it increased its speed by 53 m/sec and it arrived to station B on time. Find the distance between the two stations and the speed of the train after the stop. Answers: A) ...
First let us determine the speed of the train after the stop. The speed was increased by 53 m/sec =5⋅60⋅6031000 km/hr = 6 km/hr. Therefore, the new speed is 48+6= <gadget id="calculator">48+6</gadget> <output>54</output> 54 km/hr. If it took x hours to cover the first half of the distance, then it took x−1560=x−0.25 h...
B
calc
ape210k__01043517
A 5m long steel pipe, first cut off (1/2), and then cut off (1/2)m, then how many meters are left.
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">1 - (1/2)</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">5 * (1/2)</gadget> <output>5/2 = around 2.5</output> <gadget id="calculator">(5/2) - (1/2)</gadget> <output>2</output> <result>2</result>
2
calc
ape210k__00126863
A rectangle has a length of 4 cm and a width of 2 cm. What is the maximum volume in cubic centimeters of a three-dimensional figure obtained by rotating it around one of its sides.
<gadget id="calculator">4 ** 2</gadget> <output>16</output> <gadget id="calculator">3.14 * 16 * 2</gadget> <output>100.48</output> <result>100.48</result>
100.48
calc
ape210k__00853859
The school carried out water conservation activities, saving a total of 435 tons of water in the first three months. According to this calculation, how many tons of water can the school save a year?
<gadget id="calculator">435 / 3</gadget> <output>145</output> <gadget id="calculator">145 * 12</gadget> <output>1_740</output> <result>1_740</result>
1_740
calc
ape210k__00115726
There are 1000 students in the school who can dance or sing, 750 of them can sing, 200 can sing and dance, so how many people can dance?
<gadget id="calculator">750 - 200</gadget> <output>550</output> <gadget id="calculator">1_000 - 550</gadget> <output>450</output> <result>450</result>
450
calc
aqua_rat__TFt1qW5bri8P8pEi
A cycle is bought for Rs.800 and sold for Rs.1080, find the gain percent? Options: A) 22 B) 20 C) 35 D) 88 E) 11
800 ---- 180 100 ---- ? =&gt; 35% Answer:35 <result>C</result>
C
calc
ape210k__00823153
The road repair team repaired a road. On the first day (1/5) it was repaired. On the second day, it was repaired 200 meters longer than on the first day. There were still 700 meters left to be repaired. How long is this road in meters?
<gadget id="calculator">200 + 700</gadget> <output>900</output> <gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(1/5) + (1/5)</gadget> <output>2/5 = around 0.4</output> <gadget id="calculator">1 - (2/5)</gadget> <output>3/5 = around 0.6</output> <gadget id="calculato...
1_500
calc
aqua_rat__DaqtAqtsebYXSTGb
Of the teams competing in the world archery championships, 10 percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa. Choose the correct choice from the following: A) 13/20 B) 15/20 C) 13/15 D) 16/20 E) 13/17
Assume 100 total people. 10% of 100 = 10 ---&gt;Europeans 1/2 of 10 ---&gt; 5 Americans 1/20 of 100 ---&gt; 5 Africans Now you would add them all up, and minus it by the total (100). 100 - 20= 80. So, 80 people out of 100 are not EU, US or Africans. 80/100 is also equal to 16/20. So therefore, the answer is 1...
D
calc
ape210k__00409739
The 6 young pioneers collected 240 used batteries. If each box contains 8 batteries, there are still 2 boxes left. How many boxes were there?
<gadget id="calculator">240 / 8</gadget> <output>30</output> <gadget id="calculator">30 - 2</gadget> <output>28</output> <result>28</result>
28
calc
ape210k__00464191
The height of a cylinder is 20 cm, if the height is reduced by 3 cm, the surface area is reduced by 94.2 cm2. What is the volume of the original cylinder in cubic centimeters?
<gadget id="calculator">94.2 / 3</gadget> <output>31.4</output> <gadget id="calculator">31.4 / 3.14 / 2</gadget> <output>5</output> <gadget id="calculator">3.14 * 5 * 5 * 20</gadget> <output>1_570</output> <result>1_570</result>
1_570
calc
ape210k__00952761
Beibei has 58 stamps, and Lan Lan has 5 more stamps than Beibei's three times. How many stamps does Lan Lan have?
<gadget id="calculator">58 * 3</gadget> <output>174</output> <gadget id="calculator">174 + 5</gadget> <output>179</output> <result>179</result>
179
calc
math_qa__PjPXpMSdLP08bUBe
The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 200% and that of milk powder dropped by 60%. If in July, a mixture containing equal quantities of milk powder and coffee costs $5.10 for 3lbs, how much did a pound of milk powder cost in July? Choose the correct ...
<gadget id="calculator">60 / 100</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">1 - (3/5)</gadget> <output>2/5 = around 0.4</output> <result>B</result>
B
calc
ape210k__00677035
The school needs to paint the new classrooms. It is known that the length of the classroom is 9m, the width is 7.5m, the height is 3m, and the area after deducting doors and windows is 16.5m**2. If it costs 4 yuan for paint per square meter, how much will it cost to paint this classroom?
<gadget id="calculator">9 * 7.5</gadget> <output>67.5</output> <gadget id="calculator">9 * 3</gadget> <output>27</output> <gadget id="calculator">7.5 * 3</gadget> <output>22.5</output> <gadget id="calculator">27 + 22.5</gadget> <output>49.5</output> <gadget id="calculator">49.5 * 2</gadget> <output>99</output> <ga...
600
calc
ape210k__00615794
A rectangular vegetable field is 20 meters long and 10 meters wide. After expansion, the length increases by 10 meters and the width increases by 5 meters. How many square meters does the area increase?
<gadget id="calculator">20 + 10</gadget> <output>30</output> <gadget id="calculator">10 + 5</gadget> <output>15</output> <gadget id="calculator">30 * 15</gadget> <output>450</output> <gadget id="calculator">20 * 10</gadget> <output>200</output> <gadget id="calculator">450 - 200</gadget> <output>250</output> <resul...
250
calc
ape210k__00734655
The Sporting Goods Co., Ltd. needs to produce 900 basketballs, 222 of which have already been produced, and the rest will take 6 days to complete. How many basketballs should be produced on average per day?
<gadget id="calculator">900 - 222</gadget> <output>678</output> <gadget id="calculator">678 / 6</gadget> <output>113</output> <result>113</result>
113
calc
ape210k__00682543
A farm sows corn on June 17 and harvests it on September 30. How long is the growing period of this batch of corn?
<gadget id="calculator">31 + 31 + 30</gadget> <output>92</output> <gadget id="calculator">30 - 17</gadget> <output>13</output> <gadget id="calculator">13 + 1</gadget> <output>14</output> <gadget id="calculator">92 + 14</gadget> <output>106</output> <result>106</result>
106
calc
ape210k__00061757
How much does the hour hand rotate around the center of the clock face from 12:00 to 15:00.
<gadget id="calculator">360 / 60</gadget> <output>6</output> <gadget id="calculator">6 * 15</gadget> <output>90</output> <result>90</result>
90
calc
ape210k__00448947
On January 1, 2015, Aunt Li deposited 9,000 yuan in the bank. The deposit period is three years, and the annual interest rate is 4.25%.
<gadget id="calculator">4.25 / 100</gadget> <output>0.0425</output> <gadget id="calculator">9_000 * 0.0425 * 3</gadget> <output>1_147.5</output> <gadget id="calculator">9_000 + 1_147.5</gadget> <output>10_147.5</output> <result>10_147.5</result>
10_147.5
calc
aqua_rat__LXYfBEFUd1RucVoZ
The average of three numbers is 48. The average of two of these numbers is 56%. What is the third number? Select. A) 64 B) 32 C) 46 D) 75 E) 47
B 32 The total of three numbers must be 48 x 3 = 144. The total of two numbers must be 56 x 2 = 112. Therefore, 144 - 112 = 32. <result>B</result>
B
calc
ape210k__00801953
Water fee adjustment announcement: If the monthly water consumption does not exceed 15 tons, it will be charged at 1.20 yuan per ton; if it exceeds 15 tons, the excess part will be charged at 5.00 yuan per ton. The water fee for Dongdong’s family this month is 39 yuan. How many tons of water did Dongdong’s family use t...
<gadget id="calculator">11 / 5</gadget> <output>11/5 = around 2.2</output> <gadget id="calculator">15 + (11/5)</gadget> <output>86/5 = around 17.2</output> <result>86/5 = around 17.2</result>
86/5
calc
ape210k__00072351
It takes 6 minutes to cut a piece of wood into 3 sections. If the time for each section is equal, how many minutes will it take to cut it into 12 sections?
<gadget id="calculator">6 / 2</gadget> <output>3</output> <gadget id="calculator">12 - 1</gadget> <output>11</output> <gadget id="calculator">3 * 11</gadget> <output>33</output> <result>33</result>
33
calc
aqua_rat__3yv71SYhyPfjwczN
In what ratio should a variety of rice costing Rs. 7 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg? Answers. A) 5/6 B) 5/2 C) 5/1 D) 5/3 E) 7/6
Let us say the ratio of the quantities of cheaper and dearer varieties = x : y 5/2y the rule of allegation, x/y = (8.75 - 7.50) / (7.50 - 7) =5/2 Answer: 5/2 <result>B</result>
B
calc
ape210k__00230930
Class 1, Grade 6, has 48 people present today, and 2 people are absent. What is the attendance rate for this day?
<gadget id="calculator">48 + 2</gadget> <output>50</output> <gadget id="calculator">48 / 50</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</resul...
24/25
calc
ape210k__00293731
The construction team repaired a section of the road, repairing the full length (1/4) on the first day, repairing 150 meters on the second day, and repairing the full length (1/8) on the third day. The road was repaired within three days. How many meters is the length of the road?
<gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 / 8</gadget> <output>1/8 = around 0.125</output> <gadget id="calculator">(1/4) + (1/8)</gadget> <output>3/8 = around 0.375</output> <gadget id="calculator">1 - (3/8)</gadget> <output>5/8 = around 0.625</output> <gadg...
240
calc
aqua_rat__y7OK4lHWqsCbtD3P
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference? Select: A) 10 feet B) 8 feet C) 13 feet D) 15 feet E) 18 feet
total circuit=16/4= <gadget id="calculator">16/4</gadget> <output>4</output> 4 total feet squirrel travels=4*2= <gadget id="calculator">4*2</gadget> <output>8</output> 8 feet ANSWER:8 feet <result>B</result>
B
calc
ape210k__01092659
The outer diameter of a ring is 6 cm and the ring width is 1 cm. What is the area of the ring?
<gadget id="calculator">6 / 2</gadget> <output>3</output> <gadget id="calculator">3 - 1</gadget> <output>2</output> <gadget id="calculator">3 ** 2</gadget> <output>9</output> <gadget id="calculator">2 ** 2</gadget> <output>4</output> <gadget id="calculator">9 - 4</gadget> <output>5</output> <gadget id="calculator"...
15.7
calc
ape210k__00550706
Calculation: (8/9)-(8/9)/(5/4)*(3/16)=how much.
<gadget id="calculator">8 / 9</gadget> <output>8/9 = around 0.888889</output> <gadget id="calculator">5 / 4</gadget> <output>5/4 = around 1.25</output> <gadget id="calculator">(8/9) / (5/4)</gadget> <output>32/45 = around 0.711111</output> <gadget id="calculator">3 / 16</gadget> <output>3/16 = around 0.1875</output>...
34/45
calc
ape210k__00448304
The Children's Palace Drum Band has 15 male and 15 female students each, and the chorus has three times the number of drum bands. How many people are there in the chorus?
<gadget id="calculator">15 + 15</gadget> <output>30</output> <gadget id="calculator">30 * 3</gadget> <output>90</output> <result>90</result>
90
calc
ape210k__00067326
In the typing competition, Li Hua typed 456 words with 6 points; Zhao Hu typed 504 words with 7 points. Which of them is faster? How many words per minute?
<gadget id="calculator">456 / 6</gadget> <output>76</output> <gadget id="calculator">504 / 7</gadget> <output>72</output> <gadget id="calculator">76 - 72</gadget> <output>4</output> <result>4</result>
4
calc
ape210k__00434871
The divisor and quotient are both 12, the remainder is 3, what is the dividend?
<gadget id="calculator">12 * 12</gadget> <output>144</output> <gadget id="calculator">144 + 3</gadget> <output>147</output> <result>147</result>
147
calc
ape210k__01134521
There are 132 students in the fourth grade who took the Chinese and mathematics exams, and each of them got excellent results in at least one subject. Among them, there are 75 people with excellent Chinese performance and 78 people with excellent mathematics performance. How many people are excellent in Chinese and mat...
<gadget id="calculator">78 - 132</gadget> <output>-54</output> <gadget id="calculator">75 + (-54)</gadget> <output>21</output> <result>21</result>
21
calc
ape210k__00817257
A manuscript has 210 pages, the efficiency of type A printer is 5 pages/minute, and the efficiency of type B printer is 9 pages/minute. So, this manuscript is printed by two printers at the same time, how many minutes can it be printed?
<gadget id="calculator">5 + 9</gadget> <output>14</output> <gadget id="calculator">210 / 14</gadget> <output>15</output> <result>15</result>
15
calc
ape210k__00163751
One kilogram of soybeans contains (4/25) kilograms of oil, and (5/8) kilograms, how many kilograms of oil does such soybeans contain.
<gadget id="calculator">4 / 25</gadget> <output>4/25 = around 0.16</output> <gadget id="calculator">5 / 8</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">(4/25) * (5/8)</gadget> <output>1/10 = around 0.1</output> <result>1/10 = around 0.1</result>
1/10
calc
aqua_rat__Qwogge4IvdHluBMY
Can you deduce the pattern and find the next number in the series? 3, 24,81, 192, __? Choose the correct choice from the following choices A) 276 B) 277 C) 278 D) 279 E) 375
Solution: 375 375xplanation: 3 = 1^1^1 + 1^1^1 + 1^1^1 24 = 2^2^2 + 2^2^2 + 2^2^2 81 = 3^3^3 + 3^3^3 + 3^3^3 192 = 4^4^4 + 4^4^4 + 4^4^4 Thus the next number will be 375 =5^5^5 + 5^5^5 + 5^5^5 Answer 375 <result>E</result>
E
calc
ape210k__00942343
The area of a triangle is 17.5 square meters. If the base is 5 meters, what is the height in meters?
<gadget id="calculator">2 / 5</gadget> <output>2/5 = around 0.4</output> <gadget id="calculator">17.5 * (2/5)</gadget> <output>7</output> <result>7</result>
7
calc
ape210k__00632182
It takes (2/5) hours to cut a piece of wood into 5 pieces. If the time taken for each cut is the same, how many hours will it take to cut 7 pieces?
<gadget id="calculator">2 / 5</gadget> <output>2/5 = around 0.4</output> <gadget id="calculator">5 - 1</gadget> <output>4</output> <gadget id="calculator">(2/5) / 4</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">7 - 1</gadget> <output>6</output> <gadget id="calculator">(1/10) * 6</gadget> <outp...
3/5
calc
ape210k__00385003
The base of a cuboid is a square, and the sum of the areas of its front, back, left, and right sides is 80 square centimeters. It is known that the height of the cuboid is 5 centimeters. What is the volume of the cuboid in cubic centimeters?
<gadget id="calculator">80 / 4 / 5</gadget> <output>4</output> <gadget id="calculator">4 * 4 * 5</gadget> <output>80</output> <result>80</result>
80
calc
ape210k__00336741
When Xiao Ming calculated the addition of two numbers, he wrote 2 for the 6 in the ones digit of one addend, and 3 for the 5 in the tens digit of the other, and the resulting sum was 374. What is the correct result of adding the two numbers?
<gadget id="calculator">374 + 4 + 20</gadget> <output>398</output> <result>398</result>
398
calc
ape210k__00784923
The Monkey King Sun Wukong held a group meeting of monkeys. During the roll call, he found that the number of absent monkeys was the number of attendees (3/7). Just about to get angry, another 5 monkeys came. At this time, the number of absent monkeys was the number of attendees ( 7/13), how many monkeys are there in t...
<gadget id="calculator">7 / 20</gadget> <output>7/20 = around 0.35</output> <gadget id="calculator">3 / 10</gadget> <output>3/10 = around 0.3</output> <gadget id="calculator">(7/20) - (3/10)</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">5 / (1/20)</gadget> <output>100</output> <result>100</re...
100
calc
ape210k__01069459
The school buys 2 basketballs and 3 volleyballs, and the total cost is 99.6 yuan. It is known that basketballs cost 33 yuan, how much is each volleyball?
<gadget id="calculator">99.6 - 33</gadget> <output>66.6</output> <gadget id="calculator">66.6 / 3</gadget> <output>22.2</output> <result>22.2</result>
22.2
calc
ape210k__00773207
Add, subtract, multiply, and divide 5 and its reciprocal, and then add the sum, difference, product, and quotient. What is the result?
<gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">5 + (1/5)</gadget> <output>26/5 = around 5.2</output> <gadget id="calculator">5 - (1/5)</gadget> <output>24/5 = around 4.8</output> <gadget id="calculator">5 * (1/5)</gadget> <output>1</output> <gadget id="calculator">5...
36
calc
ape210k__00306828
Use a glass to pour water into the empty bottle. If 3 cups of water are poured, the total weight of the bottle is 450 grams; if 5 cups of water are poured, the total weight of the bottle is 600 grams; if 8 cups of water are poured, what is the total weight of the bottle?
<gadget id="calculator">600 - 450</gadget> <output>150</output> <gadget id="calculator">5 - 3</gadget> <output>2</output> <gadget id="calculator">150 / 2</gadget> <output>75</output> <gadget id="calculator">8 - 3</gadget> <output>5</output> <gadget id="calculator">75 * 5</gadget> <output>375</output> <gadget id="c...
825
calc
aqua_rat__XqBeZ3xPmm3fmHkJ
When 27 is divided by positive integer n, the remainder is 4. For how many values of n is this true? Choose the correct choice from the following answers: A) 0 B) 1 C) 2 D) 3 E) 4
When 27 is divided by n, the remainder is 4 i.e. 4 apples left over after grouping, so n must be greater than 4. It also means that 23 is completely divisible by n. The factors of 23 are 1 and 23. Out of these, n can be 23. Answer (1). <result>B</result>
B
calc
ape210k__00493256
2400 kg of wheat can be ground to produce 2040 kg of flour. Find the flour extraction rate of wheat.
<gadget id="calculator">2_040 / 2_400</gadget> <output>17/20 = around 0.85</output> <gadget id="calculator">100 / 100</gadget> <output>1</output> <gadget id="calculator">(17/20) * 1</gadget> <output>17/20 = around 0.85</output> <result>17/20 = around 0.85</result>
17/20
calc
math_qa__ZNz1aIDw7GMFTNx4
brindavan express leave chennai central station every day at 07.50 am and goes to bangalore city railway station . this train is very popular among the travelers . on 25 th july 2012 number of passengers traveling by i class and ii class was in the ratio 1 : 4 . the fare for this travel is in the ratio 3 : 1 . the tota...
<gadget id="calculator">4 + 3</gadget> <output>7</output> <gadget id="calculator">3 / 7</gadget> <output>3/7 = around 0.428571</output> <gadget id="calculator">224_000 * (3/7)</gadget> <output>96_000</output> <result>B</result>
B
calc
ape210k__00338601
It takes 10 hours for B to process a batch of parts alone. Now this batch of parts is equally distributed to A and B to process at the same time. A completes the task half an hour earlier than B, and then helps B to process 45 parts before completing all at the same time. How many parts are there in total?
<gadget id="calculator">10 + 9</gadget> <output>19</output> <gadget id="calculator">10 / 19</gadget> <output>10/19 = around 0.526316</output> <gadget id="calculator">9 / 19</gadget> <output>9/19 = around 0.473684</output> <gadget id="calculator">(10/19) - (9/19)</gadget> <output>1/19 = around 0.052632</output> <gad...
1_710
calc
aqua_rat__vhDa8W8PWGLN2ErA
Find the L.C.M. of 72, 108 and 2100. Choose the correct choice from the following: A) 37800 B) 37600 C) 37200 D) 37500 E) None of them
72 = 2^3 x 3^2, 108 = 3^3 x 2^2, 2100 = 2^2 x 5^2 x 3 x 7. L.C.M. = 2^3 x 3^3 x 5^2 x 7 = 37800. 37800nswer is 37800. <result>A</result>
A
calc
aqua_rat__h7SgQsx5R0Xh0VZk
A classroom has equal number of boys and girls. NINE girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially? Choose the correct choice from the following choices: A) 36 B) 24 C) 32 D) 48 E) 54
after 9 girls left remaining 9 girls now boys 18 are twice as many as remaining girls. initially boys=18 and girls=18. 36NSWER:36 <result>A</result>
A
calc
aqua_rat__fC3uPKyaVIhKouD6
A man is 12 years older than his brother. In two years, his age will be twice the age of his brother. The present age of his brother is: Answers. A) 10 B) 21 C) 22 D) 23 E) 24
Let the brother's present age be x years. Then, man's present age = (x + 12) years. (x + 12) + 2 = 2(x + 2) x + 14 = 2x + 4 x = 10. 10nswer:10 <result>A</result>
A
calc
math_qa__dEjdIo86xbzsV2Vj
The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Choose the correct choice from the following answers. A) 75 B) 66 C) 55 D) 44 E) 12
<gadget id="calculator">150 / 2</gadget> <output>75</output> <result>A</result>
A
calc
ape210k__00291613
From station A to station B, car A takes 10 hours to travel, and car B takes 8 hours to travel. How much slower is the speed of car A than car B?
<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>1/40 = around 0.025</output> <gadget id="calculator">(1/40) / (1/8)</gadget> <output>1/5 = around 0.2</output> ...
1/5
calc
ape210k__00234456
Xiao Ming has a long rope. After he folds the rope in half 3 times, he measures that the length of the rope after folding in half is 4 meters. How many meters is the actual length of the rope?
<gadget id="calculator">1 / 8</gadget> <output>1/8 = around 0.125</output> <gadget id="calculator">4 / (1/8)</gadget> <output>32</output> <result>32</result>
32
calc
aqua_rat__zECwpmF3kDwXujDd
In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 90π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green? Choose one: A) 360π B) 400π C) 450π D) 500π E) 600π
Area = πR^2, so doubling the radius results in an area that is 4 times the original area. 4(90π) = 360π The answer is 360π. <result>A</result>
A
calc
aqua_rat__JmjCTCdIw1OvuYha
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 7. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased? ...
I didnt get your point on eliminating D. The number of stamps only one purchased was divisible by 7.Could that not be Cecilia with 9 stamps. I choose this and marked 5, 15, 18. <result>D</result>
D
calc
ape210k__00984755
The school organizes 540 students in the fourth grade to plant trees. They should be divided into 9 tree planting sites, and each tree planting site is divided into 4 groups. How many people are there on average in each group?
<gadget id="calculator">540 / 9 / 4</gadget> <output>15</output> <result>15</result>
15
calc
ape210k__00266555
If x+1.5=7.5, then 1.5x=how much.
<gadget id="calculator">7.5 - 1.5</gadget> <output>6</output> <gadget id="calculator">1.5 * 6</gadget> <output>9</output> <result>9</result>
9
calc
aqua_rat__rIqLWs6cV8UpxumS
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3? Choose the correct choice from the following choices: A) 34 B) 42 C) 48 D) 49 E) 53
According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a). In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3. i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−...
B
calc
aqua_rat__MTDJMmcAIa9hd9Cb
Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 52 yr. How old is E? Choose the correct answer. A) 25 yr B) 62 yr C) 45yr D) 64 yr E) NOne
Solution: Total present age of A, B, C and D, = (45*4)+(4*5)= <gadget id="calculator">(45*4)+(4*5)</gadget> <output>200</output> 200 yr; Total age present age of A, B, C, D and E,= 52*5 = 262 yr. So, age of E = 62 yr. Answer: Option 62 yr <result>B</result>
B
calc
aqua_rat__7wOFgvK29jSqXhZA
The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students? Pick. A) 4 B) 5 C) 8 D) 10 E) 12
Let the boys are X, then girls are 7X, total = X+7X = 8X So it should be multiple of 8, 30 is not a multiple of 8. 8 <result>C</result>
C
calc
math_qa__oNC6UBZy93xmPbMJ
Andy solves problems 78 to 125 inclusive in a Math exercise. How many problems does he solve? Answers: A) 53 B) 52 C) 51 D) 50 E) 48
<gadget id="calculator">125 - 78</gadget> <output>47</output> <gadget id="calculator">47 + 1</gadget> <output>48</output> <result>E</result>
E
calc
ape210k__00629107
On a map with a scale of 1:400,000, the distance from Changchun to Jilin is 35 cm. It is known that a passenger train travels 70 kilometers per hour. How long does it take for this passenger train to travel from Changchun to Jilin?
<gadget id="calculator">1 / 400_000</gadget> <output>1/400_000 = around 0.000002</output> <gadget id="calculator">35 / (1/400_000) / 100_000 / 70</gadget> <output>2</output> <result>2</result>
2
calc
aqua_rat__xsM9KWEb3KklJTtr
Three partner’s A,B,C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16500 at the end of the year, B’s share is: Choose the correct answer. A) Rs.4000 B) Rs.6000 C) Rs 7500 D) Rs 7500 E) Rs.6600
Let C = x. Then B = 4x and 2A = 3 * 4= <gadget id="calculator">3 * 4</gadget> <output>12</output> 12x. or A= 6x. Therefore, A : B : C = 6x : 4x : x = 6 : 4 : 1. Therefore, B’s capital = Rs. 16500 * 4/11 = Rs.6000. ANSWER:Rs.6000 <result>B</result>
B
calc
aqua_rat__fZgHkwQLC7QlzyrJ
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table? Options. A) 6727 B) 6887 C) 6728 D) 6725 E) 6525
: CP = SP * (100/(100 + profit%)) = 8091(100/124) = Rs. 6525. Answer: 6525 <result>E</result>
E
calc
ape210k__00629295
story book, Xiaohong read the whole book (2/15) on the first day, read the whole book (1/4) on the second day, and read less than the sum of the previous two days (1/4) on the third day 5), how much did you watch on the third day?
<gadget id="calculator">2 / 15</gadget> <output>2/15 = around 0.133333</output> <gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(1/4) - (1/5)</gadget> <output>1/20 = around 0.05</output> <gadge...
11/60
calc
aqua_rat__jmCDL9tnAmbENZuT
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 50 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will b...
Percent of students who are 25 years old or older is 0.4*48+0.5*52=~45, so percent of people who are less than 25 years old is 100-45= <gadget id="calculator"> 100-45</gadget> <output>55</output> 55. Answer: 0.5. <result>B</result>
B
calc
ape210k__00482026
To repair a 200-meter road, the entire length (3/10) has been repaired, and what fraction of the entire length is left to be repaired?
<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> <result>7/10 = around 0.7</result>
7/10
calc
aqua_rat__5ZVmOIiO6LISNzEE
A cement mixture is composed of 3 elements. By weight, 1/5 of the mixture is sand, 3/4 of the mixture is water, and the remaining 6 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds? Choose the correct choice from the following. A) 100 B) 120 C) 130 D) 140 E) 150
Let the total weight be x. Sand content= (1/5)x Water content= (3/4)x Gravel=x-(1/5)x-(3/4)x=(1/20)x=6 x=120 Then answer will be 120=120 <result>B</result>
B
calc
ape210k__00380519
A passenger car and a truck depart from A and B oppositely at the same time, and they meet on the way after 5 hours. The bus takes 9 hours to complete the journey, and the truck travels 60 kilometers per hour. How many kilometers is the distance between A and B?
<gadget id="calculator">60 * 5</gadget> <output>300</output> <gadget id="calculator">5 / 9</gadget> <output>5/9 = around 0.555556</output> <gadget id="calculator">1 - (5/9)</gadget> <output>4/9 = around 0.444444</output> <gadget id="calculator">300 / (4/9)</gadget> <output>675</output> <result>675</result>
675
calc
aqua_rat__8MCIW487ck96RYFb
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1000 per sq.metre. Choices A) Rs. 15,000 B) Rs. 15,500 C) Rs. 15,600 D) Rs. 20,625 E) None
Solution Area of the floor = (5.5 x 3.75)m² = 20.635m ² Cost of paying = Rs. (1000 x 20.625) = Rs.20625. Answer Rs. 20,625 <result>D</result>
D
calc
ape210k__00315988
There are 36 students reading in the reading room, girls accounted for (4/9), how many girls came in later, at this time the number of girls accounted for the total number of students (9/19), how many girls came in later?
<gadget id="calculator">4 / 9</gadget> <output>4/9 = around 0.444444</output> <gadget id="calculator">36 * (4/9)</gadget> <output>16</output> <gadget id="calculator">36 - 16</gadget> <output>20</output> <gadget id="calculator">9 / 19</gadget> <output>9/19 = around 0.473684</output> <gadget id="calculator">1 - (9/19...
2
calc
math_qa__7zjCs7Z7cpO52SMT
If 16 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip? Pick A) 95 B) 90 C) 85 D) 80 E) 64
<gadget id="calculator">100 - 75</gadget> <output>25</output> <gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">16 / (1/4)</gadget> <output>64</output> <result>E</result>
E
calc
ape210k__00568663
Calculation: (2/3)-(2/3)*0.6+0.4.
<gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">(2/3) * 0.6</gadget> <output>0.4</output> <gadget id="calculator">(2/3) - 0.4</gadget> <output>0.266667</output> <gadget id="calculator">0.266667 + 0.4</gadget> <output>0.666667</output> <result>0.666667</result>
0.666667
calc
ape210k__00422442
A conical wheat pile has a base diameter of 4 meters and a height of 0.9 meters. Put this pile of wheat in a cylindrical grain storehouse with a base diameter of 20 decimeters and just fill it up. What is the height of the cylinder in meters?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">4 / 2</gadget> <output>2</output> <gadget id="calculator">2 ** 2</gadget> <output>4</output> <gadget id="calculator">20 / 10</gadget> <output>2</output> <gadget id="calculator">2 / 2</gadget> <output>1</output> <g...
1.199999
calc
ape210k__00969539
The number of peach trees is 1/3 of that of pear trees, and the number of pear trees is 2/5 of that of poplar trees. It is known that there are 60 peach trees, how many poplar trees are there?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">2 / 5</gadget> <output>2/5 = around 0.4</output> <gadget id="calculator">60 / (1/3) / (2/5)</gadget> <output>450</output> <result>450</result>
450
calc
ape210k__00260400
The sun always comes after the storm, and the "Centennial Olympic Flame" arrived in Ruijin. The preparatory team made red flags, bought 126 meters of red cloth, and made 5 red flags for every 9 meters of cloth. According to this calculation, how many red flags can be made with these cloths? (Solution with proportional ...
<gadget id="calculator">9 / 5</gadget> <output>9/5 = around 1.8</output> <gadget id="calculator">126 / (9/5)</gadget> <output>70</output> <result>70</result>
70
calc
ape210k__00208748
5050 kg = how many tons.
<gadget id="calculator">5_050 / 1_000</gadget> <output>101/20 = around 5.05</output> <result>101/20 = around 5.05</result>
101/20
calc
ape210k__00312919
25*80, how many are three at the end of the product?
<result>0</result>
0
calc
ape210k__00183885
4000-1-2-3-4-5-...-76-77-78=how many.
<gadget id="calculator">1 + 78</gadget> <output>79</output> <gadget id="calculator">78 / 2</gadget> <output>39</output> <gadget id="calculator">79 * 39</gadget> <output>3_081</output> <gadget id="calculator">4_000 - 3_081</gadget> <output>919</output> <result>919</result>
919
calc
ape210k__00786961
The area of a triangle is 8cm**2, the base is 2cm, and the height is cm.
<gadget id="calculator">2 / 2</gadget> <output>1</output> <gadget id="calculator">8 * 1</gadget> <output>8</output> <result>8</result>
8
calc
ape210k__00972437
7 monkeys are divided into peaches, each monkey is divided into 12, and there are 5 remaining, how many peaches are there in total?
<gadget id="calculator">12 * 7</gadget> <output>84</output> <gadget id="calculator">84 + 5</gadget> <output>89</output> <result>89</result>
89
calc
ape210k__00938535
Xiangyang Fruit Shop shipped 220 baskets of apples, each weighing 35 kilograms. After some of them were sold, there were 70 baskets left. How many kilograms of apples were sold in total?
<gadget id="calculator">220 - 70</gadget> <output>150</output> <gadget id="calculator">35 * 150</gadget> <output>5_250</output> <result>5_250</result>
5_250
calc
gsm8k__lPNzKtjRnJo51ulU
James needs to get a new pair of glasses. His frames cost $200 and the lenses cost $500. Insurance will cover 80% of the cost of lenses and he has a $50 off coupon for frames. How much does everything cost?
He gets 500*.8=$ <gadget id="calculator">500*.8</gadget> <output>400</output> 400 off the cost of lenses. That means the lenses cost 500-400=$ <gadget id="calculator">500-400</gadget> <output>100</output> 100. The frames cost 200-50=$ <gadget id="calculator">200-50</gadget> <output>150</output> 150. So he pays 100+150=...
250
calc
ape210k__00609600
What is the reciprocal of -7.
<gadget id="calculator">1 / 7</gadget> <output>1/7 = around 0.142857</output> <result>1/7 = around 0.142857</result>
1/7
calc
ape210k__00137289
The area of a trapezoid is 49 square centimeters, the height is 7 centimeters, the upper base is 4 cm, and the lower base is how many centimeters.
<gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">49 * (2/7)</gadget> <output>14</output> <gadget id="calculator">14 - 4</gadget> <output>10</output> <result>10</result>
10
calc
ape210k__01115047
Team A and Team B build a road with a length of 125 kilometers. Team A repairs 4 kilometers every day. Team B joins in after 2 days and completes the task together for 13 days. How many kilometers does Team B repair every day?
<gadget id="calculator">4 * 2</gadget> <output>8</output> <gadget id="calculator">125 - 8</gadget> <output>117</output> <gadget id="calculator">117 / 13</gadget> <output>9</output> <gadget id="calculator">9 - 4</gadget> <output>5</output> <result>5</result>
5
calc
aqua_rat__s4nFhRZwlbczODZI
A bus takes 8 hours to cover a distance of 600 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time? Select the correct option: A) 50 Kmph B) 56 Kmph C) 63 Kmph D) 55 Kmph E) 70 Kmph
Time = 8 Distance = 600 4/3 of 8 hours = 8 * 4/3 = 10.7 Hours Required speed = 600/10.7 = 56 Kmph 56 Kmph <result>B</result>
B
calc
ape210k__00523037
glass of 30% sugar water is 120 grams. If 240 grams of water is added to dilute it, what is the concentration of the diluted sugar water?
<gadget id="calculator">30 / 100</gadget> <output>3/10 = around 0.3</output> <gadget id="calculator">120 * (3/10)</gadget> <output>36</output> <gadget id="calculator">120 + 240</gadget> <output>360</output> <gadget id="calculator">36 / 360</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">100 / 10...
1/10
calc
aqua_rat__kbnZlEHl7iCksfSC
The sum of five numbers is 200. The average of the first two numbers is 20 and the third number is 50. Find the average of the two numbers? Pick: A) 50 B) 55 C) 60 D) 65 E) 70
Let the five numbers be P, Q, R, S and T. =&gt; P + Q + R + S + T = 200 (P + Q)/2 = 20 and R = 50 P + Q = 40 and R = 50 P + Q + R = 90 S + T = 200 - (P + Q + R) = 110 Average of the last two numbers = (S + T)/2 = 55 Answer:55 <result>B</result>
B
calc
aqua_rat__TV8c9B1q8DI2YBkh
One ton has 2600 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? Answers. A) 2080 B) 1700 C) 2350 D) 2500 E) 8000
16 pounds and 4 ounces= 16*16 + 4= <gadget id="calculator">16*16 + 4</gadget> <output>260</output> 260 ounces. 13 tons= 13*2600 pound = 13*2600*16 ounces. Hence the answer is (13*2600*16)/260= <gadget id="calculator"> (13*2600*16)/260</gadget> <output>2_080</output> 2080. 2080nswer: 2080. <result>A</result>
A
calc
ape210k__00422492
A barrel of oil weighs 200 kilograms, and 180 kilograms are used up, which is ((())/(())) of the barrel.
<gadget id="calculator">180 / 200</gadget> <output>9/10 = around 0.9</output> <result>9/10 = around 0.9</result>
9/10
calc
aqua_rat__WMoNlr6W2jcSW1Dy
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is? Select the correct option: A) 8.09% B) 6.07% C) 1.09% D) 6.09% E) 2.09%
Explanation: Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 3/100)2] = Rs. 106.09 Effective rate = (106.09 - 100)= <gadget id="calculator">(106.09 - 100)</gadget> <output>6.09</output> 6.09% Answer: 6.09% <result>D</result>
D
calc