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The dataset generation failed
Error code: DatasetGenerationError
Exception: TypeError
Message: Couldn't cast array of type
struct<source: string>
to
{'solution': Value(dtype='string', id=None)}
Traceback: Traceback (most recent call last):
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 2011, in _prepare_split_single
writer.write_table(table)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/arrow_writer.py", line 585, in write_table
pa_table = table_cast(pa_table, self._schema)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2302, in table_cast
return cast_table_to_schema(table, schema)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2261, in cast_table_to_schema
arrays = [cast_array_to_feature(table[name], feature) for name, feature in features.items()]
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2261, in <listcomp>
arrays = [cast_array_to_feature(table[name], feature) for name, feature in features.items()]
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 1802, in wrapper
return pa.chunked_array([func(chunk, *args, **kwargs) for chunk in array.chunks])
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 1802, in <listcomp>
return pa.chunked_array([func(chunk, *args, **kwargs) for chunk in array.chunks])
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2122, in cast_array_to_feature
raise TypeError(f"Couldn't cast array of type\n{_short_str(array.type)}\nto\n{_short_str(feature)}")
TypeError: Couldn't cast array of type
struct<source: string>
to
{'solution': Value(dtype='string', id=None)}
The above exception was the direct cause of the following exception:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1529, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1154, in convert_to_parquet
builder.download_and_prepare(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1027, in download_and_prepare
self._download_and_prepare(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1122, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1882, in _prepare_split
for job_id, done, content in self._prepare_split_single(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 2038, in _prepare_split_single
raise DatasetGenerationError("An error occurred while generating the dataset") from e
datasets.exceptions.DatasetGenerationError: An error occurred while generating the datasetNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
passage
null | question
string | options
sequence | label
string | answer
null | other
dict |
|---|---|---|---|---|---|
null | A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower? | [
"(A)5(√3 + 1)",
"(B)6(√3 + √2)",
"(C)7(√3 – 1)",
"(D)8(√3 – 2)",
"(E)None of these"
] | A | null | {
"solution": "Explanation :\nLet the height of the building be h. Initially, he was at an angle of 450. tan 45 = h/distance between car and tower. h = distance between car and tower (since tan 45 = 1).\nNow, after 10 minutes, it travelled a certain distance, and angle changed to 600.\ntan 60 = h/x x = h/√3\nSo, in 10 minutes, it has travelled a distance of h – x = h - h/√3.\n10 minutes = h *( 1 – 1√3)\nh can be travelled in 10 / (1 – 1√3).\nTo travel a distance of x, which is h/√3, it takes :\nh = 10 / (1 – 1/√3)\nh / √3 = 10/ √3 * (1 – 1/√3). Multiply numerator and denominator by 1 + √3 ( conjugate of 1 - √3). We get, x = h/√3 = 10 (1 + √3) / 2 = 5* (1 + √3)\nSo, it takes 5(1 + √3) minutes to reach the base of the tower.\nAnswer : A"
} |
null | The original price of an item is discounted 22%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item? | [
"(A)$61",
"(B)$65",
"(C)$67.40",
"(D)$70",
"(E)$78.20"
] | E | null | {
"solution": "Let x be the original price of the item\nDiscounted price = 0.78x\nPayment made by the customer after using the $20 coupon = 0.78x - 20\n0.78x - 20 = x/2 + 1.9\nx = 78.20\nAnswer: E"
} |
null | Find out which of the following values is the multiple of X, if it is divisible by 9 and 12? | [
"(A)36",
"(B)15",
"(C)17",
"(D)5",
"(E)7"
] | A | null | {
"solution": "9=3*3\n12=3*4\nThe number should definitely have these factors 3*3*4\n36 is the number that has these factors\nSo, 36 is the multiple of X\nAnswer is A"
} |
null | If the probability that Stock A will increase in value during the next month is 0.56, and the probability that Stock B will increase in value during the next month is 0.74. What is the greatest value for the probability that neither of these two events will occur? | [
"(A)0.22",
"(B)0.26",
"(C)0.37",
"(D)0.46",
"(E)0.63"
] | B | null | {
"solution": "The probability that stock A does not increase is 0.44, and the probability that stock B does not increase is 0.26. Now, how can the probability that both do not increase be more than individual probability of not increasing for each? So the probability that both do not increase can not be more than 0.26. Basically the probability that both do not increase is between 0 and 0.26."
} |
null | A trader sold an article at a profit of 20% for Rs.360. What is the cost price of the article? | [
"(A)270",
"(B)300",
"(C)280",
"(D)320",
"(E)315"
] | B | null | {
"solution": "Cost Price = Selling Price / (100+Profit%) × 100 => 360 / (100+20) × 100 => 360 / 120 × 100 = Rs.300\nOption B"
} |
null | 20 marbles were pulled out of a bag of only white marbles, painted black, and then put back in. Then, another 20 marbles were pulled out, of which 1 was black, after which they were all returned to the bag. If the percentage of black marbles pulled out the second time represents their percentage in the bag, how many marbles in total Q does the bag currently hold? | [
"(A)40",
"(B)200",
"(C)380",
"(D)400",
"(E)3200"
] | D | null | {
"solution": "We know that there are 20 black marbles in the bag and this number represent 1/20 th of the number of all marbles in the bag, thus there are total Q of 20*20=400 marbles.\nAnswer: D."
} |
null | Find the total no. of distinct bike no.'s that can beformed using 2 letters followed by 2 no.'s. How many letters need to be distinct? | [
"(A)74453",
"(B)64543",
"(C)74325",
"(D)65000",
"(E)97656"
] | D | null | {
"solution": "Out of 26 alphabets two distinct letters can be chosen in 26P2 ways. Coming to the numbers part, there are 10 ways to choose the first digit and similarly, there are another 10 ways to choose the second digit. Hence, there are in total 10X10 = 100 ways.\nCombined with letters there are 6P2 X 100 ways = 65000 ways to choose vehicle numbers.\nD"
} |
null | A train running at a speed of 100 miles/hour, takes 10 hours to reach its destination. After covering quarter of the distance, it starts raining and the train has to be slowed to speed of 75 miles/hour. What is the total journey duration? | [
"(A)10",
"(B)11.5",
"(C)12.5",
"(D)13.5",
"(E)15"
] | C | null | {
"solution": "Distance to destination = 100 X 10 = 1000 miles.\nDistance remaining when it starts to rain = 1000 - 250 = 750 miles.\nSpeed for remaining distance = 75 miles / hour.\nTime taken to cover remaining distance = 750 / 75 = 10 hours.\nTotal duration of the journey = 2.5 + 10 = 12.5 hours.\nThe correct option is C."
} |
null | Of the 200 students in a school, at least 45% attended the prom night and at least 35% took part in the debating session. What is the maximum number of students who could have neither attended the prom night nor the debating session? | [
"(A)27",
"(B)81",
"(C)90",
"(D)99",
"(E)110"
] | E | null | {
"solution": "To maximize the number of students who did neither, we should minimize the number of students who debated or attended the prom.\nLet's assume that all 35% of students who debated also attended the prom.\nThen 35% did both, 10% only attended prom, and 55% did neither.\n0.55*200 = 110\nThe answer is E."
} |
null | A sales person gets a 10% commission on each sale he makes. How many sales of $250 each must he make in order to reach a salary of at least $1000? | [
"(A)15",
"(B)24",
"(C)25",
"(D)40",
"(E)52"
] | D | null | {
"solution": "10% of 250 = 25.\nTotal salary required = 1000\nEarning from single sale = 25\n# of sales = 1000/25 =40\nSo 40 sales\nD is the correct choice"
} |
null | A company produces 420 units of a particular computer component every month, at a production cost to the company of $110 per component, and sells all of the components by the end of each month. What is the minimum selling price per component that will guarantee that the yearly profit (revenue from sales minus production costs) will be at least $626,400 ? | [
"(A)226",
"(B)230",
"(C)240",
"(D)260",
"(E)280"
] | B | null | {
"solution": "450*12(x-110)=626400\nwhere x is a selling cost of one item\nx-110, is a profit from one item\n450 - number of items produced and sold per month\n12 - is a number of month in a year\nSimplifying the equation will lead to x-110=116, then x = 230\nB"
} |
null | At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the non-defective staplers were rejected by mistake. If 72 of the non-defective staplers were rejected, what was the number of staplers produced that day? | [
"(A)4,000",
"(B)4,200",
"(C)4,500",
"(D)4,800",
"(E)5,000"
] | A | null | {
"solution": "We're told that 10% of staplers in a factory are defective.\nX = Total staplers\n0.1X = defective staplers\n0.9X = normal staplers\nNext, we're told that 2% of the normal staplers were rejected by mistake and that this = 72 staplers.\n0.9X(0.02) = 72\n0.018X = 72\n18X = 72,000\nX = 4,000\nFinal Answer:\nA"
} |
null | Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos? | [
"(A)24 minutes",
"(B)32 minutes",
"(C)36 minutes",
"(D)64 minutes",
"(E)72 minutes"
] | C | null | {
"solution": "A's speed = 3 yo-yos every 18 minutes\nB's speed = 2 yo-yos every 18 minutes\nA + B's speed = 3 + 2 = 5 yo-yos every 18 minutes\nboth together will finish 10 yo-yos in 36 minutes\ncorrect option is C"
} |
null | Add: +45 and -30 | [
"(A)-30",
"(B)+30",
"(C)0",
"(D)15",
"(E)-15"
] | D | null | {
"solution": "45 - 30 = 15\nANSWER : D"
} |
null | In how many ways can the letters of the word "PROBLEC" be rearranged to make 7 letter words such that none of the letters repeat? | [
"(A)2!",
"(B)3!",
"(C)7!",
"(D)8!",
"(E)9!"
] | C | null | {
"solution": "There are seven positions to be filled.\nThe first position can be filled using any of the 7 letters contained in PROBLEM.\nThe second position can be filled by the remaining 6 letters as the letters should not repeat.\nThe third position can be filled by the remaining 5 letters only and so on.\n758\nTherefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! Ways.\nC"
} |
null | Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)? | [
"(A)0.2",
"(B)0.4",
"(C)0.6",
"(D)1.2",
"(E)1.5"
] | A | null | {
"solution": "P(A/B) = P (A n B)/P(B)\nHere, P (A n B) = 0.16\nP(A/B) = 0.16/0.8 = 0.2\nA"
} |
null | Consider there is an staircase elevator and you are coming down. If you walk 20 steps and stop, then you reach bottom in 10 minutes. If you walk 10 steps and stop, you reach to the ground in 20 minutes. What is the speed of the elevator? | [
"(A)1 step/minute",
"(B)2 step/minute",
"(C)3 step/minute",
"(D)4 step/minute",
"(E)None of the above"
] | A | null | {
"solution": "Let total number of steps in the elevator be n and let the speed be e\nElevator covered n-20 steps in 10 mins\n(n-20)/e=10.................1\nElevator covered n-10 steps in 20 mins\n(n-10)/e=20......................2\nFrom (1) and (2)\nn=30\ne=1 step/min\nHence (A) is correct answer."
} |
null | Last year, a Home Appliance Store sold an average(arithmetic mean) of 42 microwave ovens per month. In the first 10 months of this year,the store has sold an average(arithmetic mean) of only 20 microwave ovens per month. What was the average number of microwave ovens sold per month during the entire 22 months period ? | [
"(A)21",
"(B)30",
"(C)31",
"(D)32",
"(E)None of the above"
] | D | null | {
"solution": "42×12+20×10 /12+10=504+200/22=704/22=32\nAnswer D"
} |
null | An exam is given in a certain class. The average (arithmetic mean) of the highest score and the lowest score is equal to x. If the average score for the entire class is equal to y and there are z students in the class, where z > 5, then in terms of x, y, and z, what is the average score for the class excluding the highest and lowest scorers? | [
"(A)(zy – 2x)/z",
"(B)(zy – 2)/z",
"(C)(zx – y)/(z – 2)",
"(D)(zy – 2x)/(z -2)",
"(E)(zy – x)/(z + 2)"
] | D | null | {
"solution": "Highest: H\nLowest: L\nNumber of students in the class: Z\nNumber of students in the class excluding the highest and lowest : Z-2\nAverage of Highest and Lowest: (H + L)/2=X => H+L=2X\nAverage of Entire Class : (H+L+Others)/Z=Y => Others= ZY-2X\nAverage of the others in the class: (ZY-2X)/(Z-2)\nAnswer: D"
} |
null | [5 + ? × 19 - 15 - 7]/[13 × 13 - 156] = 6 | [
"(A)4",
"(B)4.5",
"(C)5",
"(D)5.5",
"(E)6.5"
] | C | null | {
"solution": "(? × 19 - 17)/(169 - 156) = 6\n=> ? × 19 - 17 = 13 × 6 = 76\n=> ? × 19 = 78 + 17 = 95\n? = 95/19 = 5\nAnswer: Option C"
} |
null | A grocer makes a 25% profit on the selling price for each bag of flour it sells. If he sells each bag for $100 and makes $3,000 in profit, how many bags did he sell? | [
"(A)12",
"(B)16",
"(C)24",
"(D)30",
"(E)40"
] | C | null | {
"solution": "Profit on one bag: 100*1.25= 125\nNumber of bags sold = 3000/125 = 24\nAnswer is C."
} |
null | Alex and Jacob works at a toy shop that make toys. Alex takes 7 hours to make a toy, and Jacob takes 9 hours to make a toy. During a month, both of them makes 35 toys in total. If both of them have worked for almost similar number of hours how many toys have been prepared by Jacob? | [
"(A)15",
"(B)16",
"(C)17",
"(D)18",
"(E)19"
] | A | null | {
"solution": "Lets say Alex has worked for x hrs., and Jacob has worked for y hrs. So, number of toys prepared by Alex is x/7, and Jacob is y/9. Since total number of toys prepared by both of them is 35.\n=> x/7 + y/9 = 35.\n=> 9x + 7y = (35)(63)\n=> 7y = (35)(63) - 9x\n=> y = (5)(63) - (9/7)x\n=> y = 315 - (9/7)x\n=> x is to be a multiple of 7. Also, we need to minimize the difference between x & y. Here are some possible values,\nx = 126, y = 315 - (9/7)126 = 153\nx = 133, y = 315 - (9/7)133 = 144\nx = 140, y = 315 - (9/7)140 = 135\nx = 147, y = 315 - (9/7)147 = 126\nAs we can see minimum difference between x and y is when x is 140 hrs. and y is 135 hrs. Thus total toys created by Jacob = y/9 = 135/9 = 15.\nAnswer: A"
} |
null | John likes to have lightly flavored tea every evening. In a 50% strong milk tea, he replaces 15% of it with milk twice. Then, he replaces 10 percent of the resultant solution with more milk.
What is the final concentration of tea John drinks? | [
"(A)15.38%",
"(B)42%",
"(C)39.86%",
"(D)22.35%",
"(E)32.51%"
] | E | null | {
"solution": "Imagine starting out with 100 ml of 50% milk tea.\nIn step 1, 15% of the tea is replaced with milk. Thus, 85% of the original tea remains. Since this is done twice, we have a concentration of 50x0.85x0.85% (=36.125%) of tea solution.\nFinally, 10% of this solution is replaced with milk again. So, the final concentration of tea is 36.125*0.9%\nThis equals 32.51% of tea solution.\nAnswer: E"
} |
null | In a class 1/16 of the students study math, 1/10 of the students study bio, 1/8 of the students study english. The total number of students is a 4 digit number. Find the diffrence between maximum number of students and minimum number of students. | [
"(A)8880",
"(B)8870",
"(C)8890",
"(D)7890",
"(E)6780"
] | A | null | {
"solution": "LCM of 16,10,8 = 80\nthe largest 4 digit number divisible by 80 = 9920\nThe smallest 4 digit number divisible by 80 = 1040\nSo, required difference = 9920-1040= 8880\nANSWER:A"
} |
null | On a normal day Bill usually averages about 15 mph when riding his bicycle. On a windy day, his speed is reduced by 4 mph. How far can Bill travel on a windy day in 21 minutes? Round to the nearest hundredth. | [
"(A)2 miles",
"(B)2.25 miles",
"(C)3.25 miles",
"(D)3.85 miles",
"(E)2.85 miles"
] | D | null | {
"solution": "15 mph - 4 mph= 11 mph\n11 mph x (21/60)= 3.85 miles\nAnswer D"
} |
null | A retailer sold an appliance for 40 percent above cost, which represented a gross profit of $20.00. For what price did the retailer sell the appliance? | [
"(A)$27.30",
"(B)$51.00",
"(C)$63.00",
"(D)$70.00",
"(E)$91.00"
] | D | null | {
"solution": "Let the cost be A. Then the selling price is A+0.4*A.\nSo the profit is 0.4 * A.\n0.4*A=20 ---> A=50.\nSo the selling price is 50+20=70.\nThe answer is (D)."
} |
null | At 6% per annum simple interest, Rahul borrowed Rs. 500. What amount will he pay to clear the debt after 4 years | [
"(A)750",
"(B)700",
"(C)620",
"(D)600",
"(E)None of these"
] | C | null | {
"solution": "We need to calculate the total amount to be paid by him after 4 years, so it will be Principal + simple interest.\nSo,\n=>500+500∗6∗4 /100=>Rs.620\nOption C"
} |
null | A computer routine was developed to generate two numbers (x,y) the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pair satisfies the routine except | [
"(A)(99,10)",
"(B)(85,9)",
"(C)(50,7)",
"(D)(1,1)",
"(E)(1,0)"
] | A | null | {
"solution": "99 is generated\nWe don't know what the square root of 99 is because we would need a calculator, but we know the square root of 100 is 10, so the square root of 99 has to be less than 10.\nANSWER:A"
} |
null | A jeep travels a certain distance taking 6 hours in the forward journey. During the return journey, it increased its speed by 12km/hr and took 4 hours. What is the distance travelled by the jeep? | [
"(A)126km",
"(B)144km",
"(C)127km",
"(D)228km",
"(E)128km"
] | B | null | {
"solution": "Let 'x' be the distance and 'y' be the speed of the forward journey. Then, we have 6v=d and 4(v+12)=d\n=> v=d/6 and v=d/4 - 12\n=> d/6 = d/4 - 12\n=> d/12 = 12\n=> d=144\nAnswer: B"
} |
null | When I was 2 years old, my brother was half my age. Now I am 60 years old, how old is my brother? | [
"(A)A)59",
"(B)B)69",
"(C)C)79",
"(D)D)89",
"(E)E)99"
] | A | null | {
"solution": "Half of 2 is 1. =>2+58=60-> 1+58=59\nAnswer A"
} |
null | The original retail price of an appliance was 60 percent more than its wholesale cost. If the appliance was actually sold for 20 percent less than the original retail price, then it was sold for what percent more than its wholesale cost? | [
"(A)20%",
"(B)28%",
"(C)36%",
"(D)40%",
"(E)42%"
] | B | null | {
"solution": "wholesale cost = 100;\noriginal price = 100*1.6 = 160;\nactual price = 160*0.8 = 128.\nAnswer: B."
} |
null | On a map, the length of the road from Town F to Town G is measured to be 20 inches. On this map, 1/4 inch represents an actual distance of 10 miles. What is the actual distance, in miles, from Town F to Town G along this road? | [
"(A)800",
"(B)720",
"(C)960",
"(D)1140",
"(E)1160"
] | A | null | {
"solution": "Here we are given a ratio: 1/4 inch on the map = 10 miles, so 1 inch on the map = 40 miles. If the map-distance between the towns is 20 inches, then the actual distance must be 20 x 40 = 800\nAnswer: A."
} |
null | When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet. | [
"(A)1584",
"(B)1120",
"(C)792",
"(D)1320",
"(E)1200"
] | B | null | {
"solution": "Let the sheet be folded along its breadth and its perimeter = 48cm\nTherefore, (l/2 + b) = 48 ... (i)\nNow, let the sheet be folded along its length, and the perimeter = 66cm\n(l + b/2)= 66 …... (ii)\nSolving (i) and (ii), we get,\nl = 56cm, b = 20cm\nArea = l*b\nArea = 1120 cm2\nANSWER IS B"
} |
null | Suppose you can travel from a place M to a place N by 3 buses, from place N to place O by 4 buses, from place O to place P by 1 buses and from place P to place Q by 3 buses. In how many ways can you travel from M to Q ? | [
"(A)24",
"(B)36",
"(C)72",
"(D)84",
"(E)None"
] | B | null | {
"solution": "The bus from M to N can be selected in 3 ways. The bus from N to O can be selected in 4 ways. The bus from O to P can be selected in 1 way. The bus from P to Q can be selected in 3 ways. So, by the General Counting Principle, one can travel from M to Q in 3*4*1*3= 36 ways\nAnswer B"
} |
null | A rectangular solid, 3 x 4 x 15, is inscribed in a sphere, so that all eight of its vertices are on the sphere. What is the diameter of the sphere? | [
"(A) 13.3542",
"(B) 15.8113",
"(C) 18.3451",
"(D) 19.5667",
"(E) 20.8888"
] | B | null | {
"solution": "In an inscribed rectangle in a sphere, we will have a line joining the opposite vertices as the diameter.\nAccording to the Pythagoras theorem, sides 3, 4 give diagonal as 5 ==> with 5 and 15, we get 5sqrt(10).\n5sqrt(10) or 15.8113 is the diameter of the sphere.\nanswer = B"
} |
null | A starts travel towards south 3km, then travel 5 km towards east, and again travels 3 km to north, and finally travels 2km towards west. In the end how far from is A from home? | [
"(A)3km",
"(B)2km",
"(C)4km",
"(D)5km",
"(E)6km"
] | A | null | {
"solution": "3s,5e,3n,2w\n5-2=3e\n3-3=0\n3km\nANSWER:A"
} |
null | While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is: | [
"(A)Rs. 697.50",
"(B)Rs. 712.50",
"(C)Rs. 787.50",
"(D)Rs. 750",
"(E)Rs. 780"
] | D | null | {
"solution": "If he increases the discount by 2%, then his profit is 15 less. Let the marked price be X.\n.02x = 15\nx = 750 marked price\nANSWER:D"
} |
null | A student instead of finding the value of 7/8 of a number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the that number. | [
"(A)1584",
"(B)2520",
"(C)1728",
"(D)1656",
"(E)None"
] | A | null | {
"solution": "According to the question,\n=> [7/8 - 7/18 ]x = 770\n=> 7*10*x /18*8 = 770\n=> x = 11*18*8\n=> 1584.\nAnswer : A"
} |
null | The monthly salary S of a shop assistant is the sum of a fixed salary of $500 plus 5% of all monthly sales. What should the monthly sales be so that her monthly salary reaches $1500? | [
"(A)$50000",
"(B)$40000",
"(C)$30000",
"(D)$20000",
"(E)None of these"
] | D | null | {
"solution": "Let S be the total monthly salary and x be the monthly sales, hence\nS = 500 + 5% * x\nFind sales x so that S = 1500, hence\n1500 = 500 + 5% * x = 500 + 0.05 x\nSolve for x\nx = (1500 - 500) / 0.05 = $20000\nAnswer D"
} |
null | An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800km/hr. Find the average speed of the plane around the field? | [
"(A)384",
"(B)562",
"(C)458",
"(D)156",
"(E)452"
] | A | null | {
"solution": "Let the each side of the square is x km\naverage speed of plane is y km/hr\n(x/200)+(x/400)+(x/600)+(x/800) = 4x/y\n25x/2400 = 4x/y\ny= 384 km/hr\nAnswer is A"
} |
null | Jack buys 18 sharpeners (white and brown) for rs. 100. If he pays 1 rupee more for each white than brown sharpeners. How many of white and how many brown sharpeners did he buy? | [
"(A)10,8",
"(B)9,8",
"(C)7,8",
"(D)5,6",
"(E)11,12"
] | A | null | {
"solution": "Total cost=100\nnumber of sharp=18\ncost of white=cost of brown+1\n100/18=5.5...-(1)\nalso 100%18=10...-(2)\nas cost of white is 1 more than that of brown\nfrom 1 int. value will be 5\nnow remainder is 10 so 10 sharp. will be of cost (5+1)\n=> 10*(5+1)+8*5\n=>10*6+8*5\n=60+40\n100\nwhite=10\nbrown=8\nANSWER:A"
} |
null | Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 8 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool? | [
"(A)8",
"(B)15",
"(C)12",
"(D)6",
"(E)3"
] | A | null | {
"solution": "Since hose A can fill the pool in 8 hours, then in 2 + 3 = 5 hours it will fill 5/8th of the pool. Thus the remaining 3/8th is filled by hose B in 3 hours. This means that hose B,working alone, to fill the entire pool will need 3*8/3 = 8 hours.\nAnswer: A."
} |
null | If 120 is reduced to 96, what is the reduction percent? | [
"(A)30%",
"(B)40%",
"(C)20%",
"(D)10%",
"(E)5%"
] | C | null | {
"solution": "reduction = 120 – 96 = 24\n∴ Reduction percent = (24/120)×100% =20%\nAnswer:C"
} |
null | I know a 5 digit number having a property that with a 1 after it, it is three times as large as it would be with a 1 before it.
What is that number? | [
"(A)42857",
"(B)32456",
"(C)76523",
"(D)24567",
"(E)43566"
] | A | null | {
"solution": "Let the number be x\n10x +1 = 3(100,000 + x)\n=> x = 42857."
} |
null | At Daifu university, 24% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team? | [
"(A)20%",
"(B)30%",
"(C)40%",
"(D)50%",
"(E)60%"
] | B | null | {
"solution": "Assume there are total of 100 students. 24 students are members of both clubs. We are told that:20% of members of the swim team are not members of the chess club, thus if S is a # of members of the swim team then 0.2S is # of members of only the swim teem:\n24+0.2S=S --> S=30.\nAnswer: B."
} |
null | If the population of a city increases by 5 % annually, what will be the population of the city in 2 years time if its current population is 78000? | [
"(A)81900",
"(B)85995",
"(C)85800",
"(D)90000",
"(E)None of these"
] | B | null | {
"solution": "The % change in population of city in two years time is 1.05*1.05 = 1.1025 = 10.25%\nTherefore, after 2 years the population of the city will be 1.1025 * 78000 = 85995\nANSWER B"
} |
null | Two cars start at the same time from opposite ends of a highway that is 50 miles long. One car is riding at 12 mph and the second car is riding at 13 mph. How long after they begin will they meet? | [
"(A) 1",
"(B) 1.25",
"(C) 1.50",
"(D) 1.75",
"(E) 2"
] | E | null | {
"solution": "Time they will meet = total distance/ relative speed= 50/12+13 = 50/25 = 2\nAnswer is E"
} |
null | A shopkeeper employed a servant at a monthly salary of 1500. In addition to it, he agreed to pay him a commission of 15% on the monthly sale. How much sale in Rupees should the servant do if he wants his monthly income as 6000? | [
"(A)30000",
"(B)415000",
"(C)31500",
"(D)50000",
"(E)None of these"
] | A | null | {
"solution": "Servant’s commission amount\n= 6000 – 1500 = 4500\ni.e.,15% = 4500\nor,100% = 4500⁄15 × 100 = 30000\nAnswer A"
} |
null | A man borrows Rs.360 If he pays it back in 12 monthly installments of Rs.31.50, what is his interest rate? | [
"(A)1.5%",
"(B)4.5%",
"(C)10%",
"(D)5%",
"(E)12%"
] | D | null | {
"solution": "Instead of paying monthly 360/12 = 30Rs, the man pays 31.50Rs. Therefore, the interest rate is 1.5/30 = 0.5/10 = 5/100 = 5%.\nAnswer D"
} |
null | The price of a product is reduced by 30% . By what percentage should it be increased to make it 100% | [
"(A)41.86%",
"(B)42.86%",
"(C)43.86%",
"(D)44.86%",
"(E)45.86%"
] | B | null | {
"solution": "If initial price is Rs 100 and reduced price is Rs 70.\nThen, to make it 100 again, price should increase by 100*30/70= 300/7 % or 42.86% approx\nANSWER:B"
} |
null | I have a money pouch containing Rs. 700. There are equal number of 25 paise coins, 50 paise coins and one rupee coins.
How many of each are there? | [
"(A)453",
"(B)651",
"(C)400",
"(D)487",
"(E)286"
] | C | null | {
"solution": "25 paise + 50 paise + 100 paise = 175 paise and Rs. 700 = 70,000 paise\n70,000/175 = 400"
} |
null | A man spends Rs. 3500 per month and saves 12 1/2% of his income. His monthly income is ? | [
"(A)Rs. 4400",
"(B)Rs. 4270",
"(C)Rs. 4000",
"(D)Rs. 3937.50",
"(E)None of these"
] | C | null | {
"solution": "87 1/2% of P = 3500\n⇒ {(175/2) x P} / 100 = 3500\n∵ P = (3500 x 2 x 100) / 175 = 4000\nCorrect Option: C"
} |
null | Five dozen toys are packed in a box and 98 boxes are kept in a tempo. How many tempos can lift 29400 toys in one round ? | [
"(A)4",
"(B)5",
"(C)7",
"(D)6",
"(E)8"
] | B | null | {
"solution": "Five dozen = 5 x 12 = 60\n⇒ No of toys can be kept in 1 box = 60\n∴ No of toys can be kept in 98 boxes = 60 x 98 = 5880\n∴ 29400 toys can be lifted by = 29400 / 5880 = 5 tempos\nOption: B"
} |
null | There are 10 oranges in a basket. Find the no. of ways in which 2 oranges are chosen from the basket? | [
"(A)45",
"(B)90",
"(C)120",
"(D)150",
"(E)180"
] | A | null | {
"solution": "Required number of ways = 10C2 = 10*9/2 = 45\nAnswer is A"
} |
null | A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract? | [
"(A)7",
"(B)8",
"(C)10",
"(D)11",
"(E)12"
] | D | null | {
"solution": "let x is amount of work to be done to paint one house.\nSo Brown's one day work is x/6, black's can do x/8 work in\none day and blue is x/12.\nTotal houses is 3, so tatal work to be done is 3x.\n3x= 8*(x/6) + 6*(x/8) + y*(x/12)\nfinally y = 11.\nblue will complete the remaining work in 11 days.\nANSWER:D"
} |
null | Train A leaves a station every 16 minutes and Train B leaves every 17 minutes. If both trains just left the station simultaneously, how long until they do so again? | [
"(A)272 minutes",
"(B)304 minutes",
"(C)190 minutes",
"(D)70 minutes",
"(E)35 minutes"
] | A | null | {
"solution": "We have to find the LCM:\n17 is a prime number which means the LCM of 16 and 17 has to be 16*17=272\nCorrect answer is A."
} |
null | A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted? | [
"(A)438",
"(B)550",
"(C)500",
"(D)450",
"(E)498"
] | A | null | {
"solution": "Volume of Big Cube considering it is not hollow = L3 = 5*5*5 = 125 cm3\nSize of hollow cube (considering 1 cm thickness on two faces of large cube = 5 - 2 = 3cm\nVolume of hollow cube = 3*3*3 = 27 cm3\nSo Total Volume filled up by smaller cubes = Volume of Larger Cube - Volume of hollow cube\n= 125 - 27\n= 98 cm3\nVolume of 1 small cube = 1*1*1 = 1 cm3\nTotal number of small cubes in the larger cube = 98 / 1 = 98\nand Number of faces of 98 small cubes (6 faces each cube has) = 98*6 = 588 faces\nTotal Surface area of 6 faces of larger cube painted = 6*L2 = 6*5*5 = 150cm2\nSurface area of one face of small cube = 1*1 = 1cm2\nNumber of faces of small cube painted = 150/1 = 150 faces\nHence number of faces of the smaller cubes remain unpainted= 588-150\n= 438\nanswer.A"
} |
null | In a chocolate store, all chocolates are either vanilla or cocoa flavored only. 10% of the chocolates are cocoa flavored, 90% of the rest are squashed. What percentage of the chocolates are both vanilla flavored and not squashed? | [
"(A)1%",
"(B)2%",
"(C)5%",
"(D)9%",
"(E)10%"
] | D | null | {
"solution": "If 10% of chocolates are cocoa flavored, then 90% are vanilla flavored.\n90% of 90% are squashed, i.e. 81% are squashed.\nVanilla flavored and non squashed= 90-81= 9%\nD is the answer"
} |
null | There is well of depth 30m and frog is at bottom of the well. He jumps 3m up one day and falls back 2m down the same day. How many days will it take for the frog to come out of the well? | [
"(A)25 days",
"(B)26 days",
"(C)27 days",
"(D)28 days",
"(E)29 days"
] | D | null | {
"solution": "frog jumps 3 m up day & falls back 2 m down at night\nso,frog will be 3-2=1 m up in a day.\nThus, in 27 days it will be 27 m up\non 28 th day it will be at top i.e 27+3 = 30 m & will not fall down.\nANSWER:D"
} |
null | The sum of the 5 consecutive two digit odd numbers when divided by 10 becomes a perfect square, which of the following can be one of these 5 numbers? | [
"(A)47",
"(B)91",
"(C)41",
"(D)67",
"(E)44"
] | C | null | {
"solution": "perfect square:- 1,4,9,16,25,36\nsum=square*10=10,40,90,160,250,360\nsum of 4 odd consecutive numbers is multiple of 4\nso the only number left are 40,160,360\nsum/4=40/4=10 is not possible\nsum/4=360/4=90 is not possible\nsum/4=160/4=40 is the only option available i.e 41\nANSWER:C"
} |
null | In a class, 8% of total students are interested in Football. 4/5 of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class? | [
"(A)850",
"(B)800",
"(C)900",
"(D)950",
"(E)1000"
] | E | null | {
"solution": "Let x is total no. of students\n8x/100+4x/5+10x/100+20=x\nBy solving this\nx=1000\nANSWER:E"
} |
null | Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age? | [
"(A)22",
"(B)27",
"(C)29",
"(D)Cannot be determined",
"(E)None of the above"
] | D | null | {
"solution": "R - Q = R - T\nQ = T.\nAlso R + T = 50; R + Q = 50\nSo, (R - Q) cannot be determined.\nAnswer:D"
} |
null | Calculate the maximum distance you can travel with $8.50 on a cab which charges $3.50 for the first quarter-mile and 10 cents for each additional quarter mile. | [
"(A)11.75 miles",
"(B)12.75 miles",
"(C)17.75 miles",
"(D)14.75 miles",
"(E)10.75 miles"
] | B | null | {
"solution": "Subtract the fee for te first quarter mile $8.50 - $3.50 = $5\nCalculate how many extra additional quarter miles---$5/10 cents => 50 quarter miles => 12.5 miles\nTotal distance is 12.5 miles + 1/4 (first quarter mile)\n12.75 miles\nAnswer: B"
} |
null | In IPL season, Sachin current batting average is 51. In the finals, he scores 78 runs, then is batting average will be 54. Find out the total number of matches played by Sachin in this season. | [
"(A)6",
"(B)8",
"(C)9",
"(D)10",
"(E)11"
] | C | null | {
"solution": "Let total number of matches = x\nthen, total runs 54*x\ntotal runs before final = 51*(x-1)\nruns in the final match\n54*x - 51*(x-1) = 78\nx= 9\nANSWER:C"
} |
null | Amy is organizing her bookshelves and finds that she has 10 different types of books. She then codes each book with either a single letter or a pair of two different letters. If each type of book is uniquely represented by either a single letter or pair of letters, what is the smallest number of letters Amy will need to create the codes for all 10 types of books? (Assume the order of letters in a pair does not matter.) | [
"(A)3",
"(B)4",
"(C)5",
"(D)10",
"(E)20"
] | D | null | {
"solution": "The question asks for the smallest value of n, such that (n + nC2) = 10 (n represents the number of letters. In this equation, n by itself is for single-letter codes and nC2 is for two-letter codes).\nAt this point, you'd need to pick numbers, since there's really no easy way to solve nC2 = (10 – n) without a calculator.\nLooking at the answer choices, you can eliminate 10 and 20, so you can quickly narrow down the values you need to test. (i.e. (10 – n) suggests n can not be less than 10.)\nAs a general rule, whenever you're asked for the smallest value that satisfies a condition, start by testing the smallest number in the answers. Conversely, if you're asked for the largest value, start with the greatest answer.\nPlug-in n=4 to (n + nC2) = (4 + 4C2) = 4 + (4x3 /2) = (4 + 6) = 10 ANS:D"
} |
null | A rectangular piece of 150 sq m has a length which is 1m more than the 4 times the breadth. What is the perimeter of the piece? | [
"(A)60 m",
"(B)61 m",
"(C)62 m",
"(D)63 m",
"(E)64 m"
] | C | null | {
"solution": "Let its breadth be = x m.\nSo length will be = (4x+1) m.\nNow,\nx * (4x+1) = 150\nor, 4x^2+x-150 = 0\nor, (4x+25)(x-6) = 0\nEither 4x = -25 or x = 6\nAs breadth can not take negetive value so x = 6\nSo its length is 4*6+1 = 25\nSo perimeter will be 2*(25+6)=62 mLet its breadth be = x m.\nSo length will be = (4x+1) m.\nNow,\nx * (4x+1) = 150\nor, 4x^2+x-150 = 0\nor, (4x+25)(x-6) = 0\nEither 4x = -25 or x = 6\nAs breadth can not take negetive value so x = 6\nSo its length is 4*6+1 = 25\nSo perimeter will be 2*(25+6)=62 m\nANSWER:C"
} |
null | One gram of a certain health food contains 9 percent of the minimum daily requirement of vitamin E and 8 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins? | [
"(A)8.5",
"(B)10.5",
"(C)12.5",
"(D)14.5",
"(E)16.5"
] | C | null | {
"solution": "100% / 8% = 12.5\n12.5 grams of the health food provides 12.5(8%) = 100% of the vitamin A requirement and more than 100% of the vitamin E requirement.\nThe answer is C."
} |
null | Assistants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hr. The kitchen is available for 3 hours and 20 large cakes & 700 small cakes are needed. How many helpers are required? | [
"(A)8",
"(B)10",
"(C)12",
"(D)15",
"(E)19"
] | B | null | {
"solution": "20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.\nB"
} |
null | R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 5, 17, and 22, respectively. What is the length of line segment RU? | [
"(A)6",
"(B)7",
"(C)8",
"(D)9",
"(E)10"
] | A | null | {
"solution": "Since SR + RT = 22 = ST, then R is somewhere between S and T.\nSince ST is 22, then SU is 11 because U is the midpoint of ST.\nSince SR < SU, then R is somewhere between S and U.\nThen SR + RU = SU.\n5 + RU = 11\nRU = 6\nThe answer is A."
} |
null | Six pita breads contain the same amount of falafel as do two rolls. Three rolls contain the same amount of falafel as five baguettes do. Two baguettes contain the same amount of falafel as how many pita breads? | [
"(A)12/25",
"(B)3/2",
"(C)3",
"(D)2",
"(E)25/3"
] | C | null | {
"solution": "6P = 2R\n3R = 5B\n2B = ?P\nThus, P : R : B = 18 : 6 : 12\nP : B = 18 : 12\n= 3 : 2\nThus P = 3\nAnswer : C"
} |
null | A shopkeeper in order to promote his new shop put a discount of 20% on all the items for one day. Now he must sell the items at original price the other day. By what percentage must he increase the price to original? | [
"(A)21%",
"(B)20%",
"(C)25%",
"(D)33%",
"(E)18%"
] | C | null | {
"solution": "Suppose every item is priced at $100. On 20% discount, the price will become $80. Now he must add $20 to each item for original price which is 25% of $80."
} |
null | The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person? | [
"(A)126",
"(B)77",
"(C)88",
"(D)66",
"(E)54"
] | A | null | {
"solution": "Let the train fare between the two places for one person be Rs.t\nBus fare between the two places for two persons Rs.4/3 t\n=> 6/2 (4/3 t) + 8(t) = 1512\n=> 12t = 1512 => t = 126.\nAnswer:A"
} |
null | A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter. | [
"(A)18cm",
"(B)22cm",
"(C)20cm",
"(D)30cm",
"(E)28cm"
] | B | null | {
"solution": "Perimeter = 2(8 cm) + 2(3 cm) = 16 cm + 6 cm = 22 cm\nanswer:B."
} |
null | Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it ? | [
"(A)520",
"(B)720",
"(C)920",
"(D)None",
"(E)Cannot be determined"
] | B | null | {
"solution": "We have to arrange 6 books. The number of permutations is 6*5*4*3*2*1= 720\nAnswer : B"
} |
null | A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet? | [
"(A)13x/2",
"(B)13x/2 - 6",
"(C)13x/24",
"(D)(13x+1)/24",
"(E)(13x-12)/24"
] | E | null | {
"solution": "Number of pickets = x\nSize of pickets = 1/2\nlength of pickets = 1/2x\nIf there are x pickets, it implies that there are x -1 spaces between the picket\nLength of space = 6\ntotal number of length = 1/2 x + 6(x-1) in inches\ntotal length in feet =( 1/2 x + 6(x-1))/12\nSimplify to get (13X-12)/24\nANSWER:E"
} |
null | A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point. | [
"(A)238",
"(B)289",
"(C)200",
"(D)287",
"(E)187"
] | C | null | {
"solution": "Let the speed of the ship = m miles/hr. and plane took 't' hours to meet the ship\nThen, m×t is the distance ship traveled after plane started\nSo we have, mt + 180 = 10mt\n⇒ 9mt = 180\n⇒ mt = 20\nHence distance = 180 + 20 = 200 miles\nAnswer:C"
} |
null | In a large forest, 300 deer were caught, tagged, and returned during 2001. During 2002, 500 deer were caught at random, of which only 20 had tags from the previous year. If the percent of deer in the forest that had tags during the second year and were caught in the 500 deer sample is representative of the percent of the total deer population in the forest with tags, what is the total deer population in the forest (assuming no change in population between 2001 and 2002)? | [
"(A)300",
"(B)500",
"(C)5000",
"(D)6000",
"(E)7500"
] | E | null | {
"solution": "Let N = the total number of deer in the forest.\nDuring the first year, the percent of deer in the entire population with tags was: 300/N\n20/500 is the percent of deer caught during the second year that had tags. Since this sample percent matches the percent for the entire population (i.e., the total number of tagged deer divided by the total number of deer), the two ratios are equal.\nEquating these two percents:\nSample = Population\n(20/500)=(300/N)\nN = (300/1)*(500/20)\nN=7500\nAnswer E"
} |
null | In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock and the harbor line starts at 5.02 A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train? | [
"(A)0.9",
"(B)0.8",
"(C)0.6",
"(D)0.65",
"(E)1.5"
] | B | null | {
"solution": "For each 10 min interval, if man comes in first 2 min, he'll catch the 1st train, if he comes in next 8 min, he'll catch the 2nd train.\nHence, for harbor line = (2/10) = 0.2 and for main line 0.8.\nAnswer:B"
} |
null | The average (arithmetic mean) of the weight of 10 vehicles is 12.2 tons. The average weight of the group of vehicles increased by 2.6 tons after a new heavy duty truck was added to the group? What is the weight in tons of the heavy duty truck? | [
"(A)40.8",
"(B)41.6",
"(C)42.2",
"(D)43.5",
"(E)44.8"
] | A | null | {
"solution": "The new average is 14.8 tons.\nOn average, the ten trucks are 2.6 tons below the average for a total weighting of 26 tons.\nTherefore, the added truck must be 14.8 + 26 = 40.8 tons\nThe answer is A."
} |
null | Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year? | [
"(A)20%",
"(B)40%",
"(C)50%",
"(D)65%",
"(E)75%"
] | D | null | {
"solution": "Population now - 100;\nPopulation one year from now - 110;\nPopulation two years from now - 121;\nSince the population two years from now (121) is exactly double the population one year ago then the population one year ago was 121/2=60.5.\nNow, the question asks about the population increase over the last year, so from 60.5 (last year) to 100 (now): percent increase=difference/original*100=(100-60.5)/60.5*100=39.5/60.5*100=~2/3*100=~65%.\nAnswer: D."
} |
null | Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have? | [
"(A)62, 35",
"(B)62, 34",
"(C)34, 62",
"(D)42, 62",
"(E)62, 42"
] | B | null | {
"solution": "Suppose Arun has $X and Sajal has $Y. then,\n2(x-30)= y+30 => 2x-y =90 …(i)\nand x +10 =3(y-10) => x-3y = - 40 …(ii)\nSolving (i) and (ii), we get x =62 and y =34.\nArun has $62 and Sajal has $34.\nAnswer B."
} |
null | Julie’s yard is rectangular. One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard? | [
"(A)30 feet",
"(B)20 feet",
"(C)10 feet",
"(D)50 feet",
"(E)60 feet"
] | A | null | {
"solution": "Area = length x width. Divide area by width to find the missing side.\n3000 ÷100 = 30\nThe other side is 30 feet.\nCorrect answer A"
} |
null | The greatest common factor of two positive integers is 11. The least common multiple of these two integers is 7700. If one of the integers is 350, what is the other? | [
"(A)242",
"(B)308",
"(C)352",
"(D)412",
"(E)456"
] | A | null | {
"solution": "GCF*LCM = product of 2 numbers\n11*7700 = product of 2 numbers\nother number = 11*7700/350 = 242\nAnswer is A"
} |
null | A square piece of cloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut diagonally in half to create two triangles. If the area of each of triangle is 70 square feet, what was the perimeter (in feet) of the original piece of square cloth? | [
"(A)56",
"(B)58",
"(C)60",
"(D)62",
"(E)64"
] | A | null | {
"solution": "Let x be the length of one side of the original square.\nThe area of the rectangle is x(x-4)=140.\nx=14.\nThe perimeter of the square was 4*14=56 feet.\nThe answer is A."
} |
null | The length of the ribbon was originally 30 cm. It was reduced in the ratio 5 : 3. What is its length now? | [
"(A)18",
"(B)30",
"(C)6",
"(D)15",
"(E)12"
] | A | null | {
"solution": "Length of ribbon originally = 30 cm\nLet the original length be 5x and reduced length be 3x.\nBut 5x = 30 cm\nx = 30/5 cm = 6 cm\nTherefore, reduced length = 3 cm\n= 3 × 6 cm = 18 cm\nAnswer:A"
} |
null | M = abc is a three digit number and N = cba, if M > N and M - N + 396c = 990. Then how many values of M are more than 300. | [
"(A)20",
"(B)30",
"(C)40",
"(D)200",
"(E)None"
] | A | null | {
"solution": "From the given data,\nabc – cba + 396c = 990\n100a + 10b + c – (100c + 10b + a) + 396c = 990\n99a – 99c + 396c = 990\nObserve that each term is divisible by 99. So on dividing the above expression by 99, we get\na – c + 4c = 10\na + 3c = 10\nFor c = 1, a = 7\nc = 2, a = 4\nc = 3, a = 1\n'b' can take any value from 0 to 9\nWe have to find the value of M more than 300. So minimum value of 'a' should be 4.\nSo total possibilities are 402, 412, ...., 492 = 10 values\n701, 711, ....., 791 = 10 values\nSo total values = 20.\nCorrect option: A"
} |
null | there are more than 501 students in a school such that 20% of them exactly took physics and 28% of them exactly took math. What could be the least possible no of students in the school? | [
"(A)550",
"(B)570",
"(C)600",
"(D)700",
"(E)none of these"
] | E | null | {
"solution": "20% means 1/5 and 28% means 7/25,taking the lcm of the denominators 5 and 25 we get 25,the least multiple of 25 which is greater than 501 is 525. So, answer is none\nANSWER:E"
} |
null | If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now? | [
"(A)37",
"(B)41",
"(C)40",
"(D)42",
"(E)43"
] | B | null | {
"solution": "Raj’s age today = 17 decades,\nHence, 5 decades back, he must be 12 years old.\nRahim must be 36 years old, Because (3×12).\n5 years back Rahim must be 41 years old today. Because (36+5)."
} |
null | A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 10 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field? | [
"(A)51 days",
"(B)61 days",
"(C)71 days",
"(D)81 days",
"(E)91 days"
] | B | null | {
"solution": "Area of the field grazed = [22/7*14*14]sq.ft. = 616 sq.ft.\nNumber of days taken to graze the field = 616/10 days\n=> 61 days\nANSWER:B"
} |
null | A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ? | [
"(A)2% Profit",
"(B)3% Profit",
"(C)2% Loss",
"(D)3% Loss",
"(E)4% Loss"
] | B | null | {
"solution": "S.P.=(100+gain%100∗C.P)\nSo, C.P. = (100/110∗25.75)\nWhen S.P. = 25.75 then\nProfit=25.75−25=Re.0.75\nProfit%=0.75/25∗100=3%\nAnswer is B"
} |
null | In how many ways can a teacher in a kindergarten school arrange a group of 3 children (Susan, Tim and Zen) on 3 identical chairs in a straight line so that Susan is on the left of Tim? | [
"(A)7",
"(B)3",
"(C)2",
"(D)1",
"(E)6"
] | B | null | {
"solution": "Total ways in which 3 children can be arranged on 3 chairs = 3*2*1 = 6\nBut in half cases Susan will be left of Tim and in other half of cases Tim will be on left of Susan\ni.e. Desired cases in which Susan is on the left of Tim = (1/2)*6 = 3\nB"
} |
null | The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more
holidays. The bill for that month would be : | [
"(A)Rs.1560",
"(B)Rs.1680",
"(C)Rs.1840",
"(D)Rs.1950",
"(E)Rs.1690"
] | B | null | {
"solution": "Let the fixed amount be Rs. X and the cost of each unit be Rs. Y.\nThen, 540y + x = 1800 …. And 620y + x = 2040\nOn subtracting (i) from (ii), we get 80y = 240 -> y = 3\nPutting y = 3 in (i) we get :\n540 * 3 + x = 1800 x = (1800-1620) = 180\n. : Fixed charges = Rs.180, Charge per unit = Rs.3.\nTotal charges for consuming 500 units = 180 +(500*3) = Rs.1680\nAnswer:B"
} |
null | Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 26 minutes. Ball B makes 5 full rotation in 35 minutes. If they start rotating now from the same point, when will they be at the same starting point again? | [
"(A)1 hour and 31 minutes",
"(B)2 hour and 31 minutes",
"(C)3 hour and 31 minutes",
"(D)4 hour and 31 minutes",
"(E)5 hour and 31 minutes"
] | A | null | {
"solution": "If ball A makes 2 rotations in 26 minutes, it makes 1 rotation in 13 minutes. If ball B makes 5 rotations in 35 minutes, it makes 1 rotation in 7 minutes.\nThe two balls start rotating now and makes several rotations before they are at the SAME starting points. Ball A would have done a WHOLE number X of rotations and ball B would have done a WHOLE number Y of rotations. Also they would have rotated during the same period of time T. Hence\nT = 13 X = 7 Y\nHence 13 X = 7 Y\nSolve the above for X\nX = 7 Y / 13\nWe want the time when they are FIRST at the same starting point. Therefore X and Y are the smallest whole numbers of the equation X = 7 Y / 13. The smallest value of Y that gives X as a whole number is 13. Hence\nX = 7 (13) / 13 = 7\nTime T is given by\nT = 13 X = 13 * 7 = 91 minutes = 1 hour and 31 minutes\ncorrect answer A"
} |
null | A bookshelf contains 45 books, 30 of which are hardcover and 20 of which are fiction. What is the maximum number of books that are both hardcover and fiction? | [
"(A)10",
"(B)15",
"(C)18",
"(D)20",
"(E)30"
] | D | null | {
"solution": "Total Books = 45\nHard Cover = 30\nNon hardcover = 15\nFiction = 20\nNon-Fiction = 25\nMaximum number of Hardcover fiction will be 20( Assuming All the Fiction Books are Hard Cover )\nHence, the correct answer will be (D)"
} |
null | A newspaper costs $4 on Sunday and $1 the rest of the days of the week. If a hotel orders twice as many papers on Sunday as it does the rest of the days of the week and pays $210 per week for newspapers, how many newspapers does it buy on Monday? | [
"(A)15",
"(B)30",
"(C)45",
"(D)60",
"(E)75"
] | A | null | {
"solution": "Number of paper bought on monday = x\n# of paper bought on sunday = 2x\nTotal cost = 210 = 6*x(rest of the day cost)+8*x (sunday cost)\n14x = 210\nx = 15\nAns A"
} |
null | A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 extra, each. The number of those who attended the picnic was | [
"(A)8",
"(B)12",
"(C)16",
"(D)24",
"(E)25"
] | A | null | {
"solution": "Let the number of persons be x. Then,\n96/x-4-96/x=4 => x=12\nSo, required number =x-4=8.\nAnswer is A"
} |
null | A wire in the shape of rectangle of length 27 cm and breadth 17 cm is rebent to form a square. What will be the measure of each side? | [
"(A)9",
"(B)11",
"(C)22",
"(D)25",
"(E)31"
] | C | null | {
"solution": "Perimeter of rectangle = 2 (27 + 17) cm\n= 88cm\nPerimeter of square of side x cm = 4x\nTherefore, perimeter of rectangle = Perimeter of Square\n88 cm = 4x\nx = 22\nTherefore, each side of square = 22 cm\nANSWER : OPTION C"
} |
null | A man divides Rs 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five as much as each nephew. How much does each daughter receive ? | [
"(A)Rs 400",
"(B)Rs 500",
"(C)Rs 600",
"(D)Rs 700",
"(E)Rs 800"
] | E | null | {
"solution": "If each nephew got Rs x, then\n2x+16x+25x = 8600\nx= 200\nEach daughter got 4*200 = Rs 800\nANSWER:E"
} |
null | Silu and Meenu were walking on the road.
Silu said, "I weigh 51 Kgs. How much do you weigh?"
Meenu replied that she wouldn't reveal her weight directly as she is overweight.
But she said, "I weigh 29 Kgs plus half of my weight. "How much does Meenu weigh? | [
"(A)12",
"(B)28",
"(C)27",
"(D)58",
"(E)91"
] | D | null | {
"solution": "It is given that Meenu weighs 29 Kgs plus half of her own weight.\nIt means that 29 Kgs is the other half. So she weighs 58 Kgs.\nSolving mathematically, let's assume that her weight is A Kgs.\nA = 29 + A/2\n2 × A = 58 + A\nA = 58 Kgs.\nAnswer:D"
} |
null | Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him 5 tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the 5 tablets? | [
"(A)45 Min",
"(B)75 Min",
"(C)90 Min",
"(D)120 Min",
"(E)60 Min"
] | E | null | {
"solution": "Tablet 1 will be taken in 0 min.\nTablet 2 will be taken in 15 min.\nTablet 3 will be taken in 30 min.\nTablet 4 will be taken in 45 min.\nTablet 5 will be taken in 60 min."
} |
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