text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 272 runs?
Answer Choices: (A) 6.25 (B) 6.22 (C) 6.29 (D) 6.39 (E) 6.0<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate
= [272 - (3.2 * 10)]/40... | 94,675 |
<|im_start|>user
Calculate the percentage profit or loss if a trader bought the apples at 5 per rupee and sells 4 apples per rupee.
Answer Choices: (A) 11 % (B) 34 % (C) 25 % (D) 15 % (E) 35 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Let he total number of oranges bought by the shopkeeper be 12.
If he buys 5 ... | 38,175 |
<|im_start|>user
On flipping 3 coins together what is the outcomes for at least one head?
Answer Choices: (A) {HHH, HHT, HTH, THH, TTH, THT, TTT} (B) {HHH, HHT, HTH, THH, TTH, THT, HTT} (C) {HHH, HHT, HTH, TTT, TTH, THT, HTT} (D) {TTT, HHT, HTH, THH, TTH, THT, HTT} (E) None<|im_end|>
<|im_start|>assistant
<think>
</th... | 55,825 |
<|im_start|>user
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
Answer Choices: (A) 6.06% (B) 6.07% (C) 6.08% (D) 6.09% (E) 6.10%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Amount of Rs. 100 for 1 year = Rs.[100 x (1 + 3/100)2]=Rs. 106.... | 6,249 |
<|im_start|>user
Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction K of the work will be done by Adam?
Answer Choices: (A) 1/4 (B) 12/47 (C) 1/3 (D) 5/12 (E) 20/47<|im_end|... | 11,029 |
<|im_start|>user
The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Answer Choices: (A) 1/5 (B) 1/3 (C) 2/5... | 10,370 |
<|im_start|>user
The intentional release or spread of agents of disease is known as what?
Answer choice: (A) act of war (B) pandemic (C) disaster (D) bioterrorism<|im_end|>
<|im_start|>assistant
<think>
</think>
Bioterrorism is the intentional release or spread of agents of disease. The agents may be viruses, bacteri... | 11,476 |
<|im_start|>user
A store reported total sales of $460 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
Answer Choices: (A) 2% (B) 17% (C) 44% (D) 65% (E) 83%<|im_end|>
<|im_start|>assistant
<think>
</think>
New V... | 79,200 |
<|im_start|>user
Walking at 4/5 of her normal speed, a worker is 15 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
Answer Choices: (A) 45 (B) 50 (C) 55 (D) 60 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
Let... | 58,258 |
<|im_start|>user
The ratio of two quantities is 5 to 6. If each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
Answer Choices: (A) 5:6 (B) 25:27 (C) 15:16 (D) 20:21 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
The ratio can... | 4,801 |
<|im_start|>user
Three times the first of three consecutive odd integers is 6 more than twice the third. The third integer is:
Answer Choices: (A) 9 (B) 11 (C) 13 (D) 15 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three integers be x, x + 2 and x+ 4.
Then,
3x = 2(x + 4) + 6
x = 14
Third integer = ... | 72,594 |
<|im_start|>user
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 4, when a # b = 100?
Answer Choices: (A) 5 (B) 9 (C) 10 (D) 13 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
OFFICIAL SOLUTION:
(B) We know that a # b = 100 and a # b = 4a² + 4... | 59,951 |
<|im_start|>user
Martin has to secure 80% marks to clear his exam of class 9th.
He got 200 marks and failed by 200 marks.
What is the maximum marks ?
Answer Choices: (A) 500 (B) 505 (C) 510 (D) 515 (E) 525<|im_end|>
<|im_start|>assistant
<think>
</think>
A
500
To pass the exam ravish needs 200 + 200 = 400 marks.
=> (... | 39,371 |
<|im_start|>user
Dietary proteins are broken down into amino acids during what process?
Answer choice: (A) digestion (B) accumulation (C) filtration (D) photosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
Proteins in the diet are necessary for life. Dietary proteins are broken down into their component am... | 10,307 |
<|im_start|>user
The speed at which a man can row a boat in still water is 14 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 40 metres?
Answer Choices: (A) 16 seconds (B) 34 seconds (C) 9 seconds (D) 12 seconds (E) 15 seconds<|im_end|>
<|im_start|>assistant
<think>
<... | 35,380 |
<|im_start|>user
A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 440. What is the sum of the last 8 of the even integers?
Answer Choices: (A) 568 (B) 584 (C) 596 (D) 604 (E) 612<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum o... | 49,325 |
<|im_start|>user
Find the area of a parallelogram with base 20 cm and height 10 cm?
Answer Choices: (A) 290 cm2 (B) 380 cm2 (C) 270 cm2 (D) 280 cm2 (E) 200 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram = base * height = 20 * 10
= 200 cm2
The answer is E<|endoftext|> | 33,555 |
<|im_start|>user
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.23000, my total savings for the two-year is
Answer Choices: (A) s. 8000 (B) s. 9000 (C) s. 9900 (D) s. 9990 (E) s. 10000<|im_end|>
<|im_... | 13,431 |
<|im_start|>user
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 25 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
Answer Choices: (A) 20 (B) 15 (C) 40 (D) 60 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Selling price is 48 cents/l... | 23,731 |
<|im_start|>user
A man traveled a total distance of 900 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Answer Choices: (A) 240 (B) 280 (C) 320 (D) 360... | 4,418 |
<|im_start|>user
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price e of the machine?
Answer Choices: (A) 81 (B) 100 (C) 120 (D) 135 (E) 160<|im_end|>
<|i... | 48,859 |
<|im_start|>user
If x is an even integer, which of the following is an even integer?
Answer Choices: (A) 3x-3 (B) x+x^2 (C) 5x-3 (D) 2x+1 (E) 9x-5<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in an even integer; in this case 2
(3*2)-3 = 6-3 = 3 Odd
2+2^2 = 6 Even
(5*2)-3 = 10 - 3 = 7 Odd
(2*2)+1 = 4 + 1 = 5 ... | 4,658 |
<|im_start|>user
The average age of 6 men increases by 3 years when two women are included in place of two men of ages 24 and 26 years. Find the average age of the women?
Answer Choices: (A) 37 (B) 26 (C) 34 (D) 18 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
24 + 26 + 6 * 3 = 68/2 = 34
The an... | 55,178 |
<|im_start|>user
A polygon has 44 diagonals, then the number of its sides are
Answer Choices: (A) 11 (B) 9 (C) 7 (D) 5 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of sides be n.
The number of diagonals is given by nC2 - n
Therefore, nC2 - n = 44, n>0
n(n - 1) / 2 - n = 44
n2 - 3n - 88 = 0
n2... | 68,378 |
<|im_start|>user
A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fra... | 74,106 |
<|im_start|>user
The ages of 2 persons differ by 21 years. If 15 years ago the elder one be 8 times as old as the younger one, find the present age of elder person.
Answer Choices: (A) 30 (B) 48.5 (C) 50.4 (D) 62.6 (E) 47.9<|im_end|>
<|im_start|>assistant
<think>
</think>
age of the younger person = x
age of the elde... | 53,491 |
<|im_start|>user
A man entered a store and spent one-half of the money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered?
Answer Choices: (A) $95.9... | 54,240 |
<|im_start|>user
What causes holes in bread?
Answer choice: (A) heat (B) alcohol fermentation (C) yeast fermentation (D) moisture<|im_end|>
<|im_start|>assistant
<think>
</think>
Laurentbonneau. The holes in bread are created by yeast fermentation . CC-BY 3.0.
The answer is C<|endoftext|> | 9,506 |
<|im_start|>user
If one of the followings is the product of the two 3-digit integers 8K7 and 6L7 (K and L denote the tens digit of the respective integers), then that product must be
Answer Choices: (A) 478,823 (B) 511,913 (C) 531,875 (D) 538,424 (E) 569,119<|im_end|>
<|im_start|>assistant
<think>
</think>
To kn... | 66,344 |
<|im_start|>user
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Answer Choices: (A) ... | 51,598 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
In a title, capitalize the first word, the last word, and every important word in between.
The Wind in the Willows James and the Giant Peach
These words are not important in titles:
Articles, a, an, the
Short prepositions, s... | 3,575 |
<|im_start|>user
There are 9 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Answer Choices: (A) 85 (B) 87 (C) 89 (D) 91 (E) 93<|im_end|>
<|im_start|>a... | 26,474 |
<|im_start|>user
If X boxes of mango juice cost 112 cents, how much will Y boxes cost in dollars?
Answer Choices: (A) 2Y*1.12/x (B) 3Y*1.12/x (C) Y*12/x (D) Y*0.12/x (E) Y*1.12/x<|im_end|>
<|im_start|>assistant
<think>
</think>
X boxes of mango juice cost 112 cents or 1.12 dollars.
cost of mango juice = 1.12/x
Cost o... | 44,914 |
<|im_start|>user
Faiza has 4 purses, she gives 3 purse as gift. Now how many purse did she have ?
Answer Choices: (A) 2 (B) 5 (C) 1 (D) 9 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
4-3=1.
The answer is C<|endoftext|> | 83,248 |
<|im_start|>user
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Answer Choices: (A) 2288... | 47,787 |
<|im_start|>user
If 8^z is a factor of 256!, which of the following could be the value of z?
Answer Choices: (A) 32 (B) 42 (C) 30 (D) 52 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
8^z is a factor of 256!, what values can z take.
Powers of 8 in 256! = [256/8] + [256/64] , where [x] is the integral part of... | 2,385 |
<|im_start|>user
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to?
Answer Choices: (A) [108] (B) [54] (C) [36] (D) [27] (E) [18]<|im_end|>
<|im_start|>assistant
<think>
</think>
[9]*[4] = 27*2 = 54 = (1/2)(108) =[108]
The answer is A<|endoftext|> | 96,783 |
<|im_start|>user
A restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Answer Choices: (A) 23.5% (B) 50% (C) 35% (D) 37.5% (E) 75%<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 14,619 |
<|im_start|>user
Find the largest 4 digit number which isexactly divisible by 88?
Answer Choices: (A) 7851 (B) 8902 (C) 9944 (D) 9578 (E) 9734<|im_end|>
<|im_start|>assistant
<think>
</think>
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 ... | 29,221 |
<|im_start|>user
What is the prime factors’ number of 48?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
prime factors’ number, as I assume, for a number X=a^n*b^m*c^o*d^p... is = n+m+o+p...
So, 24 = 2^4*3^1
prime factors’ number will be 4+1 = 5.
Hence,
The answer is D<... | 76,720 |
<|im_start|>user
If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Answer Choices: (A) 1:1 (B) 2:1 (C) 3:1 (D) 4:1 (E) 5:1<|im_end|>
<|im_start|>assistant
<think>
</think>
B
2:1
Let 1 man's 1 day work = x... | 47,888 |
<|im_start|>user
The distance traveled by Helicopter in one year approximately 750,000,000 miles.The distance traveled by helicopter in 15 years?
Answer Choices: (A) 10<4> (B) 10<6> (C) 10<7> (D) 10<9> (E) 10<16><|im_end|>
<|im_start|>assistant
<think>
</think>
The distance traveled by Helicopter in one year = 75,000... | 18,646 |
<|im_start|>user
M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Answer Choices: (A) 35000 (B) 40000 (C) 50000 (D) 60000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose N invested Rs. x. Then, 40000/x = 4... | 17,556 |
<|im_start|>user
If A = c% of y and B = y% of c, then which of the following is true?
Answer Choices: (A) 1) A is smaller than B. (B) 2) A is greater than B (C) 3) Relationship between A and B cannot be determined. (D) 4) If x is smaller than y, then A is greater than B. (E) 5) None of the above<|im_end|>
<|im_sta... | 10,171 |
<|im_start|>user
Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Answer Choices: (A) 500 (B) 400 (C) 300 (D) 1200 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
C=x
B=x/2
A=x/4
A:B:C=1:2:4
C's Share Rs(4/7)*700 = 400
The answer is B<|endoftext... | 43,085 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Select the action that doesn't belong.
Answer Choices: (A) chop (B) carve (C) slice (D) measure<|im_end|>
<|im_start|>assistant
<think>
</think>
Measure doesn't belong.
Carve, chop, and slice all name ways to c... | 3,732 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Answer Choices: (A) 140 (B) 149 (C) 148 (D) 17 (E) ... | 73,217 |
<|im_start|>user
Two friends want to buy a snack. They combine their money and find they have $3.45, consisting of quarters, dimes, and nickels. If they have 31 coins and the number of quarters is half the number of nickels, how many quarters do they have?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_st... | 56,789 |
<|im_start|>user
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?
Answer Choices: (A) 23.75 (B) 22 (C) 20 (D) 19.2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. of mixture ... | 13,496 |
<|im_start|>user
When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 204.04, what is value of J?
Answer Choices: (A) 100 (B) 120 (C) 400 (D) 260 (E) 380<|im_end|>
<|im_start|>assistant
<think>
</think>
When a number is divided by another number, we can represent it as : Dividend = ... | 77,419 |
<|im_start|>user
Express a speed of 63 kmph in meters per second?
Answer Choices: (A) 10 mps (B) 14 mps (C) 17.5 mps (D) 19.4 mps (E) 10.8 mps<|im_end|>
<|im_start|>assistant
<think>
</think>
63* 5/18 = 17.5 mps
The answer is C<|endoftext|> | 97,219 |
<|im_start|>user
In a box there is a number of balls, out of which 1/5 are green, 1/2 are red, 1/10 are pink and the remaining 10 are orange. How many balls are green?
Answer Choices: (A) 10 balls. (B) 40 balls. (C) 12 balls. (D) 50 balls. (E) 15 balls.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the to... | 82,211 |
<|im_start|>user
In a group of ducks and cows, the total number of legs are 26 more than twice the no. of heads. Find the total no.of buffaloes.
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y ... | 39,817 |
<|im_start|>user
The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
Answer Choices: (A) 7 (B) 8 (C) 5 (D) 10 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
The total of five numbers = 5x9 = 45
The total of first 2 and l... | 2,013 |
<|im_start|>user
A chair is bought for Rs.200/- and sold at Rs.320/- find gain or loss percentage
Answer Choices: (A) 75% loss (B) 20% gain (C) 60% gain (D) 30% gain (E) 35% gain<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = (Selling price ~ Cost price)/Cost price * 100
= (320- 200)/200 = 60% gain
C
The ... | 806 |
<|im_start|>user
A certain basketball team that has played 2/3 of its games has a record of 15 wins and 5 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<... | 75,631 |
<|im_start|>user
The average of all odd numbers up to 200 is
Answer Choices: (A) 50 (B) 100 (C) 120 (D) 75 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
The numbers are 1,3,5,7,--------,197,199
Average = (199-1)/2 + 1 = 100
The answer is B<|endoftext|> | 85,392 |
<|im_start|>user
Ms. Martha invested in Fund W and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund W paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund W. How much did Ms. Morris invest in Fund W?
Answer Ch... | 23,925 |
<|im_start|>user
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Answer Choices: (A) 25 (B) 20 (C) 10 (D) 15 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 15
S = 5
DS = 15 + 5 = 20
The answer is B<|endoftext|> | 53,987 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 3,286 |
<|im_start|>user
If x + y + z = 0 then,
x^2 + y^2 + z^2/(x-y)^2 + (y-z)^2 + (z-x)^2 = ?
Answer Choices: (A) 0 (B) 1 (C) xyz (D) x+y+z (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
=>(x + y + z)² = x² + y² + z² + 2xy + 2xz + 2yz
=> x + y + z = 0 given
=>So, x² + y² + z² = - 2(xy + xz + yz) .....(1)
(x² + y... | 65,624 |
<|im_start|>user
A leak in the bottom of a tank can empty the full tank in 7 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Answer Choices: (A) 7580 (B) 7960 (C) 8290... | 86,276 |
<|im_start|>user
Three integers are at random chosen between 0 and 9 inclusive. What is the probability Q that each number is different ?
Answer Choices: (A) A.18/25 (B) B.4/5 (C) C.81/100 (D) D.9/10 (E) E.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of ways of choosing the 3 integers without restriction... | 66,266 |
<|im_start|>user
A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer Choices: (A) 87 Kmph (B) 97 Kmph (C) 72 Kmph (D) 90 Kmph (E) 19 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Length = Speed * time
Speed = L/T
S = 500/20
S = 25 M/Sec
Speed= 25*18/5 (To conve... | 62,730 |
<|im_start|>user
Two numbers N and 16 have LCM = 48 and GCF = 18. Find N.
Answer Choices: (A) 24 (B) 34 (C) 44 (D) 54 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
The product of two integers is equal to the product of their LCM and GCF. Hence.
16 × N = 48 × 18
N = 48 × 18 / 16 = 54
The answer is D<|endofte... | 82,726 |
<|im_start|>user
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Answer Choices: (A) 18 (B) 77 (C) 66 (D) 55 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
S:E = ... | 80,610 |
<|im_start|>user
If 2 men can color 50 m long cloth in 2 days, then 4 men can color 100 m long cloth in?
Answer Choices: (A) 3 days (B) 4 days (C) 5 days (D) 2 days (E) 6 days<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of cloth painted by one man in one day = 50/ 2× 2 = 12.5 m
No. of days required to... | 66,194 |
<|im_start|>user
Integer X represents the product of all integers between 1 to 24 (inclusive). The smallest prime factor of (x+1) must be
Answer Choices: (A) Between 1 to 10 (B) Between 11 to 15 (C) Between 15 to 20 (D) Between 20 to 25 (E) Greater than 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = E =... | 36,533 |
<|im_start|>user
Ayesha’s father was 38 years of age when she was born while her mother was 32 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Answer Choices: (A) 2 years (B) 4 years (C) 6 years (D) 10 years (E) None<|im_end|>
<|im_start|>assistant
... | 3,154 |
<|im_start|>user
In how many ways can the letters of wordTECHNOLOGYbe arranged such that all the Consonants always appear together?
Answer Choices: (A) 9! (B) 4!*7! (C) 5!*5! (D) 5!*4!*2! (E) 6!*4!<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the arrangment be: _ _ _ _ _ _ _ _ _ _ (10 letters, 3 vowels E, O, ... | 58,630 |
<|im_start|>user
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jack and Jill will make a basket but Sandy will miss?
Answer Choices: (A) 1/8 (B) 1/16 (C) 1/48 (D) 1/96 (E) ... | 18,153 |
<|im_start|>user
The speeds of 3 trains in the ratio 3:9:12. The ratio between time taken by them to travel the same distance is?
Answer Choices: (A) 12:4:3 (B) 1:2:3 (C) 4:8:9 (D) 6:5:2 (E) 4:8:7<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of time taken is = 1/3 : 1/9 : 1/12 = 12:4:3
The answer is A<|endo... | 35,905 |
<|im_start|>user
How many numbers of 5 digits can be formed with the digits 0, 1, 2, 3, 4, 6 & 8 with no digit being repeated in the same number?
Answer Choices: (A) 2170 (B) 2160 (C) 4396 (D) 4500 (E) 3500<|im_end|>
<|im_start|>assistant
<think>
</think>
As we have 5 digits.. and having no repeation..
For the first ... | 65,143 |
<|im_start|>user
10^(600) ÷ 10^(580) = ?
Answer Choices: (A) 10^10 (B) 10^20 (C) 10^22 (D) 10^23 (E) 10^24<|im_end|>
<|im_start|>assistant
<think>
</think>
10^(600) ÷ 10^(580) = 10^ (600-580) = 10^20
The answer is B<|endoftext|> | 89,233 |
<|im_start|>user
What does the moon not have to protect it from extreme temperatures?
Answer choice: (A) oceans (B) metals (C) atmosphere (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
The Moon has no atmosphere. With no atmosphere, the Moon is not protected from extreme temperatures. The average surface... | 5,888 |
<|im_start|>user
If a 10 percent deposit that has been paid toward the purchase of a certain product is $80, how much more remains to be paid?
Answer Choices: (A) $640 (B) $680 (C) $720 (D) $760 (E) $800<|im_end|>
<|im_start|>assistant
<think>
</think>
90% remains to be paid so the remaining amount is 9*80=$720.
The ... | 28,497 |
<|im_start|>user
In how many different number of ways 4 men and 3 women can sit on a bench such that women always sit together.
Answer Choices: (A) 710 (B) 720 (C) 724 (D) 728 (E) 740<|im_end|>
<|im_start|>assistant
<think>
</think>
720
B)
The answer is B<|endoftext|> | 74,002 |
<|im_start|>user
Where do most red algae species live?
Answer choice: (A) oceans (B) rivers (C) lakes (D) seas<|im_end|>
<|im_start|>assistant
<think>
</think>
Red algae are a very large group of protists making up about 5,000–6,000 species. They are mostly multicellular and live in the ocean. Many red algae are seaw... | 7,561 |
<|im_start|>user
The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 3 times the probability that both events A and B occur. What is ... | 43,044 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Gravitational potential energy is stored between any two objects. So, for every object on or near Earth, there is gravitational potential energy stored between the object and Earth.
The amount of gravitational potential ener... | 6,195 |
<|im_start|>user
In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the male students is single?
Answer Choices: (A) 2/7 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/7<|im_end|>
<|im_start|>assistant
<think>
... | 48 |
<|im_start|>user
There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
Answer Choices: (A) 25 (B) 81 (C) 86 (D) 16 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two positive numbers be 5x and 8x respectively.
8x - 5x = 15
3x = ... | 69,541 |
<|im_start|>user
It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 5:00 pm?
Answer Choices: (A) ... | 72,900 |
<|im_start|>user
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area E of that hemisphere?
Answer Choices: (A) 6/π (B) 9/π (C) 6 (D) 9 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Area of the base of a ... | 4,563 |
<|im_start|>user
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Answer Choices: (A) 30 (B) 42 (C) 120 (D) 360 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
5 people ,7 se... | 6,611 |
<|im_start|>user
Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed.
Answer Choices: (A) Rs. 9,000 (B... | 29,854 |
<|im_start|>user
Find the ratio in which wheat of inferior quality (Rs.14/kg) be mixed with wheat of superior quality (Rs.28/kg) so that the shopkeeper gains Rs.2 by selling the resulting mixture at Rs.20/kg.
Answer Choices: (A) 1 : 3 (B) 5 : 2 (C) 3 : 4 (D) 2 : 5 (E) None of these<|im_end|>
<|im_start|>assistant
<thin... | 61,450 |
<|im_start|>user
Set A = {1, 2, 3, 4, 5, 6, d}
Which of the following possible values for d would cause Set A to have the smallest standard deviation?
Answer Choices: (A) 1 (B) 2.5 (C) 3 (D) 3.5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
I agree. The mean of the set d=1,2,3,4,5,6 is 3.5 . Now if we a... | 94,190 |
<|im_start|>user
What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. On dividing 3000 by 19, we get 17 as remainder.
Number to be added = (19 - 17) = 2.
Option B
The answer is B<|endoft... | 32,524 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 5,206 |
<|im_start|>user
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.330. How much does C have?
Answer Choices: (A) 50 (B) 78 (C) 30 (D) 29 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 500
A+C = 200
B+C = 330
--------------
A+B+2C = 530
A+B+C = 500
----------------
C = ... | 79,095 |
<|im_start|>user
If log1087.5 = 1.9421, then the number of digits in (875)10 is?
Answer Choices: (A) 30 (B) 28 (C) 27 (D) 26 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
X = (875)10 = (87.5 x 10)10
Therefore, log10X = 10(log1087.5 + 1)
= 10(1.9421 + 1)
= 10(2.9421) = 29.421
X = antilog(29.421)
Therefore, n... | 37,588 |
<|im_start|>user
A cab driver 5 days income was $600, $250, $450, $400 , $800. Then his average income is?
Answer Choices: (A) $460 (B) $480 (C) $500 (D) $520 (E) $540<|im_end|>
<|im_start|>assistant
<think>
</think>
avg = sum of observations/number of observations
avg income=(600+250+450+400+800)/5 = 500
The answer ... | 9,910 |
<|im_start|>user
Yid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Yid have meant to type?
Answer Choices: (A) 10 (B) 16 (C) 21 (D) 24 (E) 27<|im_end|>
<|im_start|>assistant
<thi... | 3,089 |
<|im_start|>user
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 8 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph... | 32,167 |
<|im_start|>user
On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?
Answer Choices: (A) 28 (B) 27 (C) 11 (D) 15 (E) 19<|im_... | 85,029 |
<|im_start|>user
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Answer Choices: (A) 520 (B) 620 (C) 820 (D) 740 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (240 x 5) = 1200 km.
Speed = Distance/... | 67,592 |
<|im_start|>user
A man's age is 125% of what it was 10 years ago, but 8313% of what it will be after 10 years. What is his present age?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the age before 10 years =x. Then,
125x100=x+10⇒125x=100x+1000⇒x=100025=40
Pres... | 49,709 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 3,629 |
<|im_start|>user
The train travels at an average speed of 16km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 8km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?
Answer Choice... | 44,549 |
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