Question: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?

<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>

<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>

<gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>

<gadget id="calculator">2_000 - 900</gadget>
<output>1_100</output>

<gadget id="calculator">(9/25) * 1_100</gadget>
<output>396</output>

<gadget id="calculator">2_000 - 396</gadget>
<output>1_604</output>

<gadget id="calculator">32 / 100</gadget>
<output>8/25 = around 0.32</output>

<gadget id="calculator">(8/25) * 900</gadget>
<output>288</output>

<gadget id="calculator">1_604 - 288</gadget>
<output>1_316</output>

<gadget id="calculator">1_316 / 2_000</gadget>
<output>329/500 = around 0.658</output>

<gadget id="calculator">(329/500) * 100</gadget>
<output>329/5 = around 65.8</output>
<result>329/5 = around 65.8</result>

Choices:
A. 35.67 %
B. 65.80 %
C. 68.57 %
D. 69.57 %
E. none of these

multiply(divide(subtract(subtract(multiply(const_2, multiply(const_100, const_10)), multiply(divide(36, const_100), subtract(multiply(const_2, multiply(const_100, const_10)), 900))), multiply(divide(32, const_100), 900)), multiply(const_2, multiply(const_100, const_10))), const_100)

Explanation: "girls = 900 , boys = 1100 passed = ( 36 % of 1100 ) + ( 32 % of 900 ) = 396 + 288 = 684 failed = 2000 - 684 = 1316 failed % = [ ( 1316 / 2000 ) x 100 ] % = 65.8 % . answer : b"


Question: john left home and drove at the rate of 50 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?

<gadget id="calculator">50 * 2</gadget>
<output>100</output>

<gadget id="calculator">3 * 55</gadget>
<output>165</output>

<gadget id="calculator">100 + 165</gadget>
<output>265</output>
<result>265</result>

Choices:
A. 235 miles .
B. 245 miles .
C. 255 miles .
D. 265 miles .
E. 275 miles .

Explanation: "the total distance d traveled by john is given by d = 50 * 2 + 3 * 55 = 265 miles . answer d"


Question: a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :

<gadget id="calculator">3 * 2</gadget>
<output>6</output>

<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>

<gadget id="calculator">6 * (1/100)</gadget>
<output>3/50 = around 0.06</output>

<gadget id="calculator">(3/50) * 1_000</gadget>
<output>60</output>
<result>60</result>

Choices:
A. 12 kg
B. 60 kg
C. 72 kg
D. 88 kg
E. 96 kg

multiply(multiply(multiply(3, 2), divide(1, const_100)), const_1000)

Explanation: "volume of water displaced = ( 3 x 2 x 0.01 ) m 3 = 0.06 m 3 . mass of man = volume of water displaced x density of water = ( 0.06 x 1000 ) kg = 60 kg . answer : option b"


Question: anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ?

<gadget id="calculator">5 * 3</gadget>
<output>15</output>

<gadget id="calculator">3 * 4</gadget>
<output>12</output>

<gadget id="calculator">15 + 12</gadget>
<output>27</output>

<gadget id="calculator">35 - 27</gadget>
<output>8</output>
<result>8</result>

Choices:
A. $ 8
B. $ 12
C. $ 6
D. $ 21
E. $ 10

subtract(35, add(multiply(5, 3), multiply(3, 4)))

Explanation: 5 x $ 3 = $ 15 for baby - sitting 3 x $ 4 = $ 12 for garden work $ 15 + $ 12 = $ 27 she has $ 35 - $ 27 = $ 8 more needed to buy the game correct answer a


Question: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c â ˆ ’ a ?

<gadget id="calculator">80 * 2</gadget>
<output>160</output>

<gadget id="calculator">45 * 2</gadget>
<output>90</output>

<gadget id="calculator">160 - 90</gadget>
<output>70</output>
<result>70</result>

Choices:
A. 25
B. 70
C. 90
D. 140
E. it can not be determined from the information given

subtract(multiply(80, const_2), multiply(45, const_2))

Explanation: "the arithmetic mean of a and b = ( a + b ) / 2 = 45 - - a + b = 90 - - 1 similarly for b + c = 160 - - 2 subtracting 1 from 2 we have c - a = 70 ; answer : b"


Question: a envelop weight 8.2 gm , if 800 of these envelop are sent with an advertisement mail . how much wieght ?

<gadget id="calculator">8.2 * 800</gadget>
<output>6_560</output>

<gadget id="calculator">6_560 / 1_000</gadget>
<output>164/25 = around 6.56</output>
<result>164/25 = around 6.56</result>

Choices:
A. 6.56 kg
B. 6.8 kg
C. 6.7 kg
D. 6.9 kg
E. 7.8 kg

Explanation: "800 * 8.2 6560.0 gm 6.56 kg answer : a"


Question: if a coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land tails up on the first 4 flips and not on the last flip ?

<gadget id="calculator">2 ** 5</gadget>
<output>32</output>

<gadget id="calculator">1 / 32</gadget>
<output>1/32 = around 0.03125</output>
<result>1/32 = around 0.03125</result>

Choices:
A. 1 / 8
B. 1 / 32
C. 1 / 4
D. 1 / 2
E. 1 / 16

Explanation: ( 1 / 2 ) * ( 1 / 2 ) * ( 1 / 2 ) * ( 1 / 2 ) * ( 1 / 2 ) = 1 / 32 answer : b


Question: the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 990 square meters , what is the depth of the channel ( in meters ) ?

<gadget id="calculator">14 + 8</gadget>
<output>22</output>

<gadget id="calculator">22 / 2</gadget>
<output>11</output>

<gadget id="calculator">990 / 11</gadget>
<output>90</output>
<result>90</result>

Choices:
A. 50
B. 60
C. 70
D. 80
E. 90

divide(990, divide(add(14, 8), const_2))

Explanation: "1 / 2 * d * ( 14 + 8 ) = 990 d = 90 the answer is e ."


Question: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ?

<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(4/5) * 14_000</gadget>
<output>11_200</output>

<gadget id="calculator">14_000 - 11_200</gadget>
<output>2_800</output>
<result>2_800</result>

Choices:
A. 3600
B. 2800
C. 3608
D. 3602
E. 3603

subtract(14000, multiply(divide(4, 5), 14000))

Explanation: "let the income and the expenditure of the person be rs . 5 x and rs . 4 x respectively . income , 5 x = 14000 = > x = 2800 savings = income - expenditure = 5 x - 4 x = x so , savings = rs . 2800 . answer : b"


Question: two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?

<gadget id="calculator">1 + 4</gadget>
<output>5</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<gadget id="calculator">750 * 10</gadget>
<output>7_500</output>

<gadget id="calculator">10 + 1</gadget>
<output>11</output>

<gadget id="calculator">11 * 2</gadget>
<output>22</output>

<gadget id="calculator">7_500 / 22</gadget>
<output>3_750/11 = around 340.909091</output>
<result>3_750/11 = around 340.909091</result>

Choices:
A. s . 200.90
B. s . 250.90
C. s . 290.90
D. s . 300.90
E. s . 340.90

divide(multiply(750, multiply(add(const_1, const_4), const_2)), multiply(add(multiply(add(const_1, const_4), const_2), const_1), const_2))

Explanation: "let the amount paid to x per week = x and the amount paid to y per week = y then x + y = 750 but x = 120 % of y = 120 y / 100 = 12 y / 10 ∴ 12 y / 10 + y = 750 ⇒ y [ 12 / 10 + 1 ] = 750 ⇒ 22 y / 10 = 750 ⇒ 22 y = 7500 ⇒ y = 7500 / 22 = rs . 340.90 e )"


Question: the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum :

<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>

<gadget id="calculator">(21/20) ** 2</gadget>
<output>441/400 = around 1.1025</output>

<gadget id="calculator">2 * (1/20)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">(441/400) - (11/10)</gadget>
<output>1/400 = around 0.0025</output>

<gadget id="calculator">19 / (1/400)</gadget>
<output>7_600</output>
<result>7_600</result>

Choices:
A. 4500
B. 7600
C. 5000
D. 6000
E. none of these

divide(19, subtract(power(add(const_1, divide(5, const_100)), 2), add(const_1, multiply(2, divide(5, const_100)))))

Explanation: "sol . ( d ) let the sum be 100 . therefore , si = 100 × 5 × 2100 = 10100 × 5 × 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 − 100100 ( 1 + 5100 ) 2 − 100 ∴ = 100 × 21 × 2120 × 20 − 100 = 414 = 100 × 21 × 2120 × 20 − 100 = 414 difference of ci and si = 41 ⁄ 4 - 10 = 1 ⁄ 4 if the difference is 1 ⁄ 4 , the sum = 100 = > if the difference is 19 , the sum = 400 × 19 = 7600 answer b"


Question: machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 60 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ?

<gadget id="calculator">100 / 60</gadget>
<output>5/3 = around 1.666667</output>

<gadget id="calculator">(5/3) * 2</gadget>
<output>10/3 = around 3.333333</output>

<gadget id="calculator">(10/3) * 6</gadget>
<output>20</output>
<result>20</result>

Choices:
A. 20
B. 30
C. 40
D. 10
E. 16

multiply(multiply(divide(100, 60), const_2), 6)

Explanation: "machine b produces 100 part in 60 minutes . machine a produces 100 parts twice as fast as b , so machine a produces 100 parts in 60 / 2 = 30 minutes . now , machine a produces 100 parts in 30 minutes which is 100 / 30 = 10 / 3 parts / minute . 10 / 3 parts x a total of 6 minutes = 20 a"


Question: if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 12 ?

<gadget id="calculator">5 + 2</gadget>
<output>7</output>

<gadget id="calculator">7 ** 2</gadget>
<output>49</output>

<gadget id="calculator">12 * 4</gadget>
<output>48</output>

<gadget id="calculator">49 - 48</gadget>
<output>1</output>
<result>1</result>

Choices:
A. 0
B. 1
C. 2
D. 3
E. 5

subtract(power(add(5, const_2), 2), multiply(12, const_4))

Explanation: there are several algebraic ways to solve this question , but the easiest way is as follows : since we can not have two correct answers just pick a prime greater than 5 , square it and see what would be the remainder upon division of it by 12 . n = 7 - - > n ^ 2 = 49 - - > remainder upon division 49 by 12 is 1 . answer : b .


Question: set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ?

<gadget id="calculator">-2</gadget>
<output>-2</output>

<gadget id="calculator">5 - 1</gadget>
<output>4</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">(-2) + 8</gadget>
<output>6</output>

<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<result>4</result>

Choices:
A. 0
B. 2
C. 4
D. 6
E. 8

subtract(add(negate(2), multiply(subtract(5, const_1), 2)), 2)

Explanation: since there are only 5 integers , another approach is the just list all 5 . we get : - 2 , 0,2 , 4 , 6 range of positive integers = 6 - 2 = 4 answer : c


Question: the sum of all the integers g such that - 26 < g < 24 is

<gadget id="calculator">-26</gadget>
<output>-26</output>

<gadget id="calculator">(-26) + 1</gadget>
<output>-25</output>

<gadget id="calculator">(-25) + 1</gadget>
<output>-24</output>

<gadget id="calculator">(-25) + (-24)</gadget>
<output>-49</output>
<result>-49</result>

Choices:
A. 0
B. - 2
C. - 25
D. - 49
E. - 51

add(add(negate(26), const_1), add(add(negate(26), const_1), const_1))

Explanation: "easy one - - 25 , - 24 , - 23 , - 22 , . . . . . . - 1,0 , 1 , 2 . . . . , 22 , 23 cancel everyhitng and we ' re left with - - 25 and - 24 g = - 49 . d is the answer ."


Question: a student chose a number , multiplied it by 2 , then subtracted 180 from the result and got 104 . what was the number he chose ?

<gadget id="calculator">104 + 180</gadget>
<output>284</output>

<gadget id="calculator">284 / 2</gadget>
<output>142</output>
<result>142</result>

Choices:
A. 90
B. 100
C. 120
D. 142
E. 200

Explanation: "solution : let x be the number he chose , then 2 * x * 180 = 104 2 x = 284 x = 142 correct answer d"


Question: two brothers take the same route to school on their bicycles , one gets to school in 25 minutes and the second one gets to school in 36 minutes . the ratio of their speeds is

<gadget id="calculator">25 ** (1/2)</gadget>
<output>5</output>

<gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result>

Choices:
A. 4 : 5
B. 1 : 2
C. 6 : 7
D. 5 : 6
E. none

Explanation: solution let us name the brothers as a and b . = ( a ' s speed ) : ( b ' s speed ) = â ˆ š b : â ˆ š a = â ˆ š 25 : â ˆ š 36 = 5 : 6 answer d


Question: the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 9 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?

<gadget id="calculator">5 * 9</gadget>
<output>45</output>

<gadget id="calculator">45 / 60</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">60 * (3/4)</gadget>
<output>45</output>
<result>45</result>

Choices:
A. 20 km
B. 30 km
C. 45 km
D. 50 km
E. 60 km

multiply(60, divide(multiply(5, 9), 60))

Explanation: "number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 9 = 45 km imo , correct answer is ` ` c . ' '"


Question: in a certain warehouse , 50 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ?

<gadget id="calculator">100 - 80</gadget>
<output>20</output>

<gadget id="calculator">48 / 20</gadget>
<output>12/5 = around 2.4</output>

<gadget id="calculator">(12/5) * 100</gadget>
<output>240</output>

<gadget id="calculator">240 * 50</gadget>
<output>12_000</output>

<gadget id="calculator">12_000 / 100</gadget>
<output>120</output>

<gadget id="calculator">120 - 48</gadget>
<output>72</output>
<result>72</result>

Choices:
A. 8
B. 64
C. 72
D. 102
E. 144

subtract(divide(multiply(multiply(divide(48, subtract(const_100, 80)), const_100), 50), const_100), 48)

Explanation: "if 80 % of the packages weigh at least 25 pounds this means that 20 % of the packages weigh less than 25 pounds let t = total number of packages so , 20 % of t = # of packages that weigh less than 25 pounds 48 packages weigh less than 25 pounds great . so , 20 % of t = 48 rewrite to get : 0.2 t = 48 solve : t = 240 50 % of the packages weigh less than 75 pounds so , 50 % oft = number of packages that weigh less than 75 pounds 50 % of 240 = 120 , so 120 packages weigh less than 75 pounds of those 120 packages that weigh less than 75 pounds , 48 packages weigh less than 25 pounds . so , the number of packages that weight between 25 and 75 pounds = 120 - 48 = 72 = c"


Question: in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :

<gadget id="calculator">11 + 5</gadget>
<output>16</output>

<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>8</result>

Choices:
A. 3
B. 5
C. 8
D. 9
E. 10

Explanation: "solution speed in still water = 1 / 2 ( 11 + 5 ) kmph . = 8 kmph . answer c"


Question: the ratio of the cost price and the selling price is 4 : 5 . the profit percent is ?

<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<result>25</result>

Choices:
A. 17
B. 56
C. 25
D. 28
E. 12

multiply(subtract(divide(5, 4), const_1), const_100)

Explanation: "let c . p . = rs . 4 x . then , s . p . = rs . 5 x gain = ( 5 x - 4 x ) = rs . x gain % = ( x * 100 ) / 4 x = 25 % . answer : c"


Question: if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .

<gadget id="calculator">45 * 100</gadget>
<output>4_500</output>

<gadget id="calculator">50 * 78</gadget>
<output>3_900</output>

<gadget id="calculator">4_500 + 3_900</gadget>
<output>8_400</output>

<gadget id="calculator">45 + 50</gadget>
<output>95</output>

<gadget id="calculator">100 - 95</gadget>
<output>5</output>

<gadget id="calculator">5 * 65</gadget>
<output>325</output>

<gadget id="calculator">8_400 + 325</gadget>
<output>8_725</output>

<gadget id="calculator">8_725 / 100</gadget>
<output>349/4 = around 87.25</output>
<result>349/4 = around 87.25</result>

Choices:
A. 86 %
B. 87 %
C. 88 %
D. 89 %
E. 90 %

divide(add(add(multiply(45, 100), multiply(50, 78)), multiply(subtract(const_100, add(45, 50)), 65)), const_100)

Explanation: "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %"


Question: of the votes cast on a certain proposal , 62 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )

<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">62 / (1/5)</gadget>
<output>310</output>
<result>310</result>

Choices:
A. 280
B. 290
C. 300
D. 310
E. 320

divide(62, subtract(subtract(const_1, divide(40, const_100)), divide(40, const_100)))

Explanation: let x be the total number of votes cast . 0.6 x = 0.4 x + 62 0.2 x = 62 x = 310 the answer is d .


Question: how many of the integers between 20 and 80 are even ?

<gadget id="calculator">80 - 20</gadget>
<output>60</output>

<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<result>30</result>

Choices:
A. 21
B. 30
C. 11
D. 10
E. 9

Explanation: "number start between 20 to 80 is 60 numbers half of them is even . . which is 30 answer : b"


Question: if a and b are positive integers , and a = 5 b + 20 , the greatest common divisor of a and b can not be

<gadget id="calculator">20 / 5</gadget>
<output>4</output>

<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<result>6</result>

Choices:
A. 2
B. 4
C. 5
D. 6
E. 10

Explanation: if b is 2 , 4 , 5 , or 10 , then gcd of a and b is 2 , 4 , 5 , and 10 respectively . so , by poe the answer must be d . still : if b is a multiple of 6 , then a is 20 greater than a multiple of 6 , so not a multiple of 6 , so both of them can not be divisive by 6 . answer : d .


Question: express 35 mps in kmph ?

<gadget id="calculator">35 / 1_000</gadget>
<output>7/200 = around 0.035</output>

<gadget id="calculator">(7/200) * 3_600</gadget>
<output>126</output>
<result>126</result>

Choices:
A. 122
B. 188
C. 126
D. 140
E. 124

Explanation: "35 * 18 / 5 = 126 kmph answer : c"


Question: the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?

<gadget id="calculator">3_136 ** (1/2)</gadget>
<output>56</output>

<gadget id="calculator">56 * 4</gadget>
<output>224</output>

<gadget id="calculator">2 * 1</gadget>
<output>2</output>

<gadget id="calculator">224 - 2</gadget>
<output>222</output>

<gadget id="calculator">222 * 2.5</gadget>
<output>555</output>

<gadget id="calculator">555 * 3</gadget>
<output>1_665</output>
<result>1_665</result>

Choices:
A. s . 1014
B. s . 1140
C. s . 999
D. s . 1665
E. s . 1020

multiply(multiply(subtract(multiply(sqrt(3136), const_4), multiply(const_2, 1)), 2.50), 3)

Explanation: "a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 – 6 = 666 * 2.5 = 1665 answer : d"


Question: there are 690 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?

<gadget id="calculator">690 / 3</gadget>
<output>230</output>

<gadget id="calculator">230 * 4</gadget>
<output>920</output>

<gadget id="calculator">920 - 690</gadget>
<output>230</output>

<gadget id="calculator">230 / 2</gadget>
<output>115</output>
<result>115</result>

Choices:
A. 75
B. 100
C. 115
D. 175
E. 225

divide(subtract(multiply(divide(690, const_3), const_4), 690), const_2)

Explanation: female = x male = 690 - x x / 2 + 690 - x / 4 = 1 / 3 * ( 690 ) = 230 x = 230 x / 2 = 115 is supposed to be the answer m is missing something correct option c


Question: find the area of a parallelogram with base 20 cm and height 40 cm ?

<gadget id="calculator">20 * 40</gadget>
<output>800</output>
<result>800</result>

Choices:
A. 100 cm 2
B. 250 cm 2
C. 800 cm 2
D. 296 cm 2
E. 456 cm 2

Explanation: "area of a parallelogram = base * height = 20 * 40 = 800 cm 2 answer : c"


Question: a can do a piece of work in 6 hours ; b and c together can do it in 4 hours , which a and c together can do it in 3 hours . how long will b alone take to do it ?

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</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">(1/3) - (1/6)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/4) - (1/6)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / (1/12)</gadget>
<output>12</output>
<result>12</result>

Choices:
A. 8 hours
B. 6 hours
C. 14 hours
D. 12 hours
E. 5 hours

divide(const_1, subtract(divide(const_1, 4), subtract(divide(const_1, 3), divide(const_1, 6))))

Explanation: "a ' s 1 hour work = 1 / 6 ; ( b + c ) ' s 1 hour work = 1 / 4 ; ( a + c ) ' s 1 hour work = 1 / 3 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 6 ) = 5 / 12 b ' s 1 hour work = ( 5 / 12 - 1 / 3 ) = 1 / 12 b alone will take 12 hours to do the work . answer : d"


Question: a train 250 m long running at 72 kmph crosses a platform in 30 sec . what is the length of the platform ?

<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">30 * 20</gadget>
<output>600</output>

<gadget id="calculator">600 - 250</gadget>
<output>350</output>
<result>350</result>

Choices:
A. 350 m
B. 200 m
C. 250 m
D. 270 m
E. 300 m

subtract(multiply(30, multiply(72, const_0_2778)), 250)

Explanation: "d = 72 * 5 / 18 = 30 = 600 â € “ 250 = 350 m answer : a"


Question: 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ?

<gadget id="calculator">11 * 2</gadget>
<output>22</output>

<gadget id="calculator">4 + 3</gadget>
<output>7</output>

<gadget id="calculator">22 - 7</gadget>
<output>15</output>

<gadget id="calculator">4 + 1</gadget>
<output>5</output>

<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<result>3</result>

Choices:
A. 2
B. 3
C. 4
D. 5
E. 6

divide(subtract(multiply(11, const_2), add(4, 3)), add(4, const_1))

Explanation: akar has = ram + rahul + john after evenly distribution each has 11 . so , total no . is 44 so , akar has = 22 & ram + rahul + john = 22 also ram = rahul - 4 & john - 3 = 3 * ram solving these we get the sol . answer : b