text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 49 hours respectively. The ratio of their speeds is:
Answer Choices: (A) 2 : 3 (B) 4 : 3 (C) 6 : 7 (D) 7 : 2 (E) None of these<|im_end|>
... | 16,344 |
<|im_start|>user
If m = 3^n, what is the greatest value of n for which m is a factor of 28!
Answer Choices: (A) 13 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution-
Consider multiples of 25!=> 3,6,9,12,15,18,21,24,27
Count no. of 3 in each multiple.
3=3x1->1
6=3x2->1
9=3x3->2
12=3... | 83,449 |
<|im_start|>user
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Answer Choices: (A) 675.5 (B) 635.5 (C) 635.28 (D) 635.98 (E) 635.03<|im_end|>
<|im_start|>assistant
<think>
</thin... | 49,020 |
<|im_start|>user
John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount X of dollars he could have spent for the $12 tickets?
Answer Choices: (A) $48 (B) $60 (C) $84 (D) $96 (E) $120<|im_end|>
<|im_start|>assistant
<think... | 95,615 |
<|im_start|>user
If 2^5, 3^3, and 12^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Answer Choices: (A) 26 (B) 39 (C) 42 (D) 144 (E) 156<|im_end|>
<|im_start|>assistant
<think>
</think>
Here 156 has three two's
two three's
and one 13
rest of them... | 23,879 |
<|im_start|>user
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 19. What is the last numbers?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
A + B + C = 48
B + C + D = 45
A + D = 19
A – D = 3
A + D = 19
2... | 63,392 |
<|im_start|>user
In the new budget the price of milk rose by 10%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Answer Choices: (A) 7.5% (B) 9.1% (C) 10.9% (D) 12.6% (E) 15%<|im_end|>
<|im_start|>assistant
<think>
</think>
Reduce in consumption = R/(100+R) *... | 21,981 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 750 resolutions?
Answer Choices: (A) 277 m (B) 704 m (C) 278 m (D) 288 m (E) 1056 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Dis... | 21,935 |
<|im_start|>user
What type of diseases in humans are caused by protozoa?
Answer choice: (A) protist diseases (B) protozoa diseases (C) dysentery (D) diarrhea<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientists are searching for ways to create controlled nuclear fusion reactions in order to produce safe nuclea... | 3,668 |
<|im_start|>user
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 26 years now, the son's age five years back was?
Answer Choices: (A) 8 years (B) 14 years (C) 18 years (D) 19 years (E) 15 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the so... | 83,639 |
<|im_start|>user
if the average of 6 consecutive number is 27, then the largest of the number is?
Answer Choices: (A) 27.5 (B) 28.5 (C) 29 (D) 29.5 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
x+x+1+x+2+x+3+x+4+x+5/6=27
6x+15=162
x=24.5
x+5=29.5
The answer is D<|endoftext|> | 6,925 |
<|im_start|>user
What is the average of xx, 2x2x, and 66?
Answer Choices: (A) x+2x (B) 2x+2 (C) x+2x+2 (D) 2x (E) 2x+1<|im_end|>
<|im_start|>assistant
<think>
</think>
By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence,
The answer is C<|endoftext|> | 46,781 |
<|im_start|>user
If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
Answer Choices: (A) 30 days (B) 40 days (C) 50 days (D) 70 days (E) 80 days<|im_end|>
<|im_start|>assistant
<think>
</think>
B
40 days
Given that 12m = 20w => 3m = 5w
9 men + 12... | 36,136 |
<|im_start|>user
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
Answer Choices: (A) 5 hours 5 minutes (B) 8 hours 5 minutes (C) 7 hou... | 13,812 |
<|im_start|>user
Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/4 of an ounce and one to measure exactly 1/5 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use eith... | 16,598 |
<|im_start|>user
Habitat loss, introduced species, overharvesting, and global change are major threats to what?
Answer choice: (A) the earth's gravity (B) the sun (C) biodiversity (D) transportation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 191 |
<|im_start|>user
12 is what % of 80?
Answer Choices: (A) 6 (B) 6.67 (C) 12 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
We assume that 80 is 100%
assume 'x' is value we looking for
here,
80 = 100% and
x% = 12
therefore,
100/x = 80/12
100/x = 6.6667
x = 15
E
The answer is E<|endoftext|> | 89,148 |
<|im_start|>user
If a certain toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Answer Choices: (A) 1/4 (B) 1/2... | 78,731 |
<|im_start|>user
A full-time employee’s hourly wage was increased by 10%. He decided to decrease the number of hours worked per week so that his total income did not change. By approximately what percent should the number of hours worked be decreased?
Answer Choices: (A) 7% (B) 9% (C) 25% (D) 50% (E) 100%<|im_end|>
<|i... | 35,183 |
<|im_start|>user
Sonika bought a V.C.R. at the list price of 18,700. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
Answer Choices: (A) 20,196 (B) 19,780 (C) 19,680 (D) 19,380 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. List price of V.C.R. =18,70... | 62,142 |
<|im_start|>user
A can finish a work in 20 days, B in 15 days and C in 12 days. B and C start the work but are forced to leave after 2 days. The remaining work was done by A in :
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
(B+C)’s one day’s work = 1/15 + 1/12 = ... | 72,449 |
<|im_start|>user
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Answer Choices: (A) 3387 (B) 277 (C) 223 (D) 992 (E) 213<|im_end|>
<|im_start|>assistant
<think>
</think>
(800*3*3)/100 = 72
920 + 72 = 992
The answer is D<|endoftext|> | 87,090 |
<|im_start|>user
If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)?
Answer Choices: (A) 9. (B) 12. (C) 15. (D) 16 (E) 18.<|im_end|>
<|im_start|>assistant
<think>
</think>
Expand this to get: (2X + Y)(2Z + W) = 4XZ + 2XW + 2YZ + YW
= 4 XZ + YW + 2XW + 2YZ [I rearranged the terms]
= ... | 51,478 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 4,803 |
<|im_start|>user
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 1:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Answer Choices: (A) 10.18 p.m (B) 10.29 p.m (C) 8.30 p.m (D) 10.38 p.m (E) 10.32 p.m<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 6,880 |
<|im_start|>user
The sum of first five prime numbers is?
Answer Choices: (A) 20 (B) 25 (C) 26 (D) 28 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
Required sum = (2 + 3 + 5 + 7 + 11) = 28.
Note: 1 is not a prime number.
Definition: A prime number (or a prime) is a natural number that has exactly two distinc... | 89,319 |
<|im_start|>user
David has d books, which is 3 times as many as Jeff and 3/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Answer Choices: (A) 2*d (B) 7/3*d (C) 10/3*d (D) 7/2*d (E) 9/2*d<|im_end|>
<|im_start|>assistant
<think>
</think>
Although we could plug in a real val... | 90,423 |
<|im_start|>user
Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Answer Choices: (A) 13/20 (B) 4/20 (C) 13/15 (D) 17/20 (E) 13/17<|im_end... | 58,626 |
<|im_start|>user
What kind of interference is observed when the paths differ by a whole wavelength, and the waves arrive in phase?
Answer choice: (A) necessary interference (B) constructive interference (C) non-interference (D) spontaneous interference<|im_end|>
<|im_start|>assistant
<think>
</think>
To understand th... | 5,355 |
<|im_start|>user
A man has $ 10,000 to invest. he invest $4,000 at 5% and $3500 at 4%. In order to have ayearly incom of $500, he must invest the remainder at:
Answer Choices: (A) 6% (B) 5.4% (C) 6.1% (D) 4.4% (E) 6.4%<|im_end|>
<|im_start|>assistant
<think>
</think>
income from $4000 at 5% in one year = $4000of 5%= ... | 41,482 |
<|im_start|>user
What type of orbitals do electrons in successive atoms on the periodic table tend to fill first?
Answer choice: (A) orbital lobes (B) outer orbitals (C) low-energy (D) high energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Electrons in successive atoms on the periodic table tend to fill low-ene... | 7,042 |
<|im_start|>user
A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
Answer Choices: (A) 30 (B) 35 (C) 40 (D) 42 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
A ratio of pennies to nickels of 5 to 3 means that we can write t... | 34,471 |
<|im_start|>user
Solve the equation :
A) (5x - 4)/2 = (0.5x + 1)/3,
B) 1 –[(x - 3)/5] = ( -3x + 3)/3,
C) (x + 1)/3 – (2x + 5)/2 = -3,
D) [3.(x - 1)]/2 + [2(x + 2)]/4 = (3x + 4.5)/5
Answer Choices: (A) 1, - 3/4, 5/4, 1 (B) 1, - 3/4, 5/4, 2 (C) 3, - 3/4, 5/4, 1 (D) 1, - 3/4, 5/4, 4 (E) None<|im_end|>
<|im_start|>assistan... | 61,976 |
<|im_start|>user
Each of the following equations has at least one solution EXCEPT D. Is it true?
Answer Choices: (A) -2*-a = 2a (B) 2*a = (–2) *-a (C) -4*a = -3-a (D) -3*a = -3-a (E) (–2) -a = –2-a<|im_end|>
<|im_start|>assistant
<think>
</think>
If we put a= 1 then
A. 2
B. 2
C. -4
E. -3
D. -3=-4 Not true
The answer ... | 134 |
<|im_start|>user
What are chromosomes in the same pair called?
Answer choice: (A) homologous chromosomes (B) homogeneous chromosomes (C) regulated chromosomes (D) reversible chromosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
In sexually reproducing species, chromosomes are present in cells in pairs. Chromos... | 11,348 |
<|im_start|>user
If x : y = 1 : 2, find the value of (2x + 3y) : (x + 4y)
Answer Choices: (A) 5 : 6 (B) 7 : 8 (C) 8 : 9 (D) 9 : 10 (E) 11 : 12<|im_end|>
<|im_start|>assistant
<think>
</think>
x : y = 1 : 2 means x/y = 1/2
Now, (2x + 3y) : (x + 4y) = (2x + 3y)/(x + 4y) [Divide numerator and denominator by y.]
= [(2x +... | 37,540 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 3,014 |
<|im_start|>user
If 16^y = 4^16, what is y?
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 12 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
16^y = 4^2y = 4^16
2y=16
y = 8
The answer is C<|endoftext|> | 80,777 |
<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Answer Choices: (A) 4.25 (B) 5.9 (C) 6.25 (D) 7 (E) 7.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate = 282 - (4.6x 10) = 236... | 93,832 |
<|im_start|>user
When XYZ Co discontinued an agency arrangement with John, management held his commission of Rs. 25000/- for one month. Earlier John had availed an advance agency fees of 8280/- from company. But Robert forgot that. After one month John asked his fees and accountant gives Rs.18500/- to him. What is the ... | 1,958 |
<|im_start|>user
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder F of Y divided by 5?
Answer Choices: (A) F= 1. (B) F=2. (C) 3. (D) 4. (E) 5.<|im_end|>
<|im_start|>assistant
<think>
</think>
X divided by 10 gives reminder of 2. X can be 2/12/2... | 17,703 |
<|im_start|>user
Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 1/2 brand X and 1/2 brand Y. what fraction of the cost of the blend is Brand X?
Answer Choices: (A) a. 1/3 (B) b. 2/5 (C) 3. 2/3 (D) 4. 1/5 (E) 5. 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume Cost of X= Ca = 20... | 15,717 |
<|im_start|>user
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) Rs. 15 (B) Rs. 12.10 (C) Rs. 19.70 (D) Rs. 16.80 (E) None of these<|im_end|>
<|im_start|>assistant... | 45,317 |
<|im_start|>user
Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long aft... | 96,442 |
<|im_start|>user
The temperature dependence of solubility can be exploited to prepare what solutions of certain compounds?
Answer choice: (A) mineralized (B) supersaturated (C) isolated (D) instantiated<|im_end|>
<|im_start|>assistant
<think>
</think>
The temperature dependence of solubility can be exploited to prepa... | 2,572 |
<|im_start|>user
A firm has 4 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Answer Choices: (A) 40 (B) 44 (C) 48 (D) 52 (E) 56<|im_e... | 50,583 |
<|im_start|>user
If there are 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 6:4, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Answer Choices: (A) 1/25 (B) 2/25 (C) 3/25 (D) 4/25 (E) 21/25<|im_end|>
<|im_start|>assista... | 37,384 |
<|im_start|>user
102 × 102 + 98 × 98 = ?
Answer Choices: (A) 20018 (B) 20028 (C) 20108 (D) 10008 (E) 20008<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
(a + b)2 + (a − b)2 = 2(a2 + b2)
(Reference : Basic Algebraic Formulas)
1022 + 982 = (100 + 2)2 + (100 − 2)2 = 2(1002 + 22) = 2(10000 + 4) = 2... | 83,897 |
<|im_start|>user
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 4 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Answer Choices: (A) 76 (B) 65 (C) 75 (D) 89 (E) 90<|im_end|>
<|im_start|>assist... | 90,311 |
<|im_start|>user
In the rectangular coordinate system, if the line x = 4y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Answer Choices: (A) 3 (B) 2 (C) 1/2 (D) 1/3 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
x = 4y+5, and thus y = x/4 - 5/4
The slope is 1/4.
The slope of a li... | 24,678 |
<|im_start|>user
Microwaves are converted into what kind of energy in a microwave oven?
Answer choice: (A) thermal energy (B) solar energy (C) mechanical energy (D) light energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Electromagnetic waves may also be absorbed by matter and converted to other forms of energy... | 10,628 |
<|im_start|>user
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im... | 42,802 |
<|im_start|>user
Ashok secured average of 72 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Answer Choices: (A) 62 (B) 74 (C) 78 (D) 80 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of subjects = 6
Average of ... | 17,353 |
<|im_start|>user
(935421 x 625) = ?
Answer Choices: (A) 575648125 (B) 584638125 (C) 584649125 (D) 585628125 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
935421 x 625 = 935421 x 54 = 935421 x(10/2)4
= 584638125
The answer is B<|endoftext|> | 74,268 |
<|im_start|>user
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?
Answer Choices: (A) 10 and 20 (B) 12 and 18 (C) 24 and 32 (D) 21 and 63 (E) 22 and 88<|im_end|>
<|im_start|>assistant
<think>
</think>
32 has only one prime 2 (32=2^5) in its prime factorization, so ... | 78,110 |
<|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... | 4,653 |
<|im_start|>user
8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?
Answer Choices: (A) 40 Ltrs (B) 50 (C) 60 (D) 70 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</th... | 13,090 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 5,298 |
<|im_start|>user
Every day Daniel drives 100 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to dri... | 25,934 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 3,613 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true.
The month of July has more days than the month of June.
This is a fact. It can be proved by looking at a calendar and counting the number of days in each month.
An opinion i... | 4,700 |
<|im_start|>user
Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 100 km and the other at the rate of 120 kmph. In what time will they be completely clear of each other from the moment they meet?
Answer Choices: (A) 4.85 (B) 7.85 (C) 4.51 (D) 5.85 (E) 6.... | 16,162 |
<|im_start|>user
Peter got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Peter’s sister was 10 years younger to him at the time of his marriage. The age of Peer’s sister is:
Answer Choices: (A) 32 (B) 36 (C) 38 (D) 39 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol... | 57,321 |
<|im_start|>user
T=(429)^2 * 237 * (1243)^3 is thrice of ?
Answer Choices: (A) 33605 * 31960 * (1243) ^2 (B) 33654 * 538219 * (1243) ^2 (C) 33891 * 533247 * (1243) ^2 (D) 34122 * 532004 * (1243) ^2 (E) 34606 * 534572 * (1243) ^2<|im_end|>
<|im_start|>assistant
<think>
</think>
T=(429)^2*237*(1243)^3 is an odd number.... | 64,306 |
<|im_start|>user
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 9 years. What is the sum?
Answer Choices: (A) 42315 (B) 42877 (C) 44625 (D) 38925 (E) 22887<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = (100 * 4016.25) / (1 * 9)
= Rs.44625.
The answer is C<|endoftext|> | 74,959 |
<|im_start|>user
If y exceeds x by 25%, then x is less than y by?
Answer Choices: (A) 29% (B) 80% (C) 87% (D) 20% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
X=100 y=125
125--------25
100--------? => 20%
The answer is C<|endoftext|> | 70,016 |
<|im_start|>user
The cost of 10 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Answer Choices: (A) Rs 52.50 (B) Rs 56 (C) Rs 58.50 (D) Rs 84 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the required cost be ... | 56,416 |
<|im_start|>user
In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. What is the maximum possible value of the radius of C
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 16 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
It takes 3 distinct points to define a circle. O... | 48,048 |
<|im_start|>user
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Answer Choices: (A) 2000 m^2 (B) 2340 m^2 (C) 2520 m^2 (D) 2556 m^2 (E) 2534 m^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol... | 21,562 |
<|im_start|>user
If x = 1- 2t and y = 2t - 2, then for what value of t does x = y?
Answer Choices: (A) 5/2 (B) 3/2 (C) 3/4 (D) 2/5 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
We are given x = 1 – 2t and y = 2t – 2, and we need to determine the value for t when x = y. We should notice that both x and y... | 77,958 |
<|im_start|>user
A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Answer Choices: (A) 11 (B) 50 (C) 52 (D) 65 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative to man = (125/10) m/sec = (2... | 89,745 |
<|im_start|>user
Solution for 4.75+.303+.432
Answer Choices: (A) 2.91 (B) 5.911 (C) 5.485 (D) 5.986 (E) 2.999<|im_end|>
<|im_start|>assistant
<think>
</think>
4.75+.303+.432=0
0=0-4.75-0.303-0.432
0=-5.485
The answer is C<|endoftext|> | 49,973 |
<|im_start|>user
Chemical formulas for ionic compounds are called what?
Answer choice: (A) electronic formulas (B) ionic formulas (C) velocity formulas (D) magnetic formulas<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemical formulas for ionic compounds are called ionic formulas. A proper ionic formula has a c... | 6,401 |
<|im_start|>user
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Answer Choices: (A) 5 sec (B) 6 sec (C) 7 sec (D) 10 sec (E) 12 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed o... | 58,871 |
<|im_start|>user
Each muscle fiber contains hundreds of organelles called what?
Answer choice: (A) fast glycolytic fibres (B) slow twitch fibres (C) pores (D) myofibrils<|im_end|>
<|im_start|>assistant
<think>
</think>
Each muscle fiber contains hundreds of organelles called myofibrils. Each myofibril is made up of t... | 9,840 |
<|im_start|>user
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Answer Choices: (A) 5 (B) 7 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number of cows be x and the number of hens be y.
Then, 4x + 2y = 2 (... | 65,733 |
<|im_start|>user
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days Q will the work get over?
Answer Choices: (A) Q=60 (B) Q=70 (C) Q=75 (D) 80 (E) 100<|im_end|>
<|im_start|>assistan... | 44,553 |
<|im_start|>user
What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?
Answer Choices: (A) Rs. 3430 (B) Rs. 3440 (C) Rs. 3450 (D) Rs. 3460 (E) Rs. 3490<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this ... | 87,027 |
<|im_start|>user
A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in ... | 46,545 |
<|im_start|>user
What kind of hormones are released into the environment for communication between animals of the same species?
Answer choice: (A) hormones (B) pheromones (C) peptides (D) reactions<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 2,613 |
<|im_start|>user
A train 110 m long is running with a speed of 65 km/hr. In what time will it pass a man who is running at 7 km/hr in the direction opposite to that in which the train is going?
Answer Choices: (A) 5 (B) 6 (C) 4 (D) 8.2 (E) 5.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative t... | 80,593 |
<|im_start|>user
If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
Answer Choices: (A) 0.2 (B) 0.4 (C) 0.3 (D) -0.4 (E) 0.1<|im_end|>
<|im_start|>assistant
<think>
</think>
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) ... | 60,847 |
<|im_start|>user
What is the term for a connection between a neuron and its target cell?
Answer choice: (A) synapse (B) dendrite (C) axon (D) impulse<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 12.27 The Synapse The synapse is a connection between a neuron and its target cell (which is not necessarily a n... | 10,266 |
<|im_start|>user
Elemental carbon is a black, dull-looking solid that conducts heat and this?
Answer choice: (A) electricity (B) light (C) energy (D) vibration<|im_end|>
<|im_start|>assistant
<think>
</think>
Elemental carbon is a black, dull-looking solid that conducts heat and electricity well. It is very brittle a... | 1,154 |
<|im_start|>user
In the manufacture of a certain product, 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Answer Choices: (A) 0.125% (B) 0.28% (C) 0.8% (D) 1.25% (E) 2.0%<|im_end|>
... | 81,457 |
<|im_start|>user
If a man crosses a 600 m long street in 5 minutes. What is his speed?
Answer Choices: (A) 7 km/hr (B) 7.1 km/hr (C) 7.2 km/hr (D) 8 km/hr (E) 9.2 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
distance = 600 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distancetime=600300=2m/... | 96,728 |
<|im_start|>user
Find the least square number which is exactly divisible by 10,12,15 and 18.
Answer Choices: (A) 900 (B) 120 (C) 103 (D) 104 (E) 217<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 10, 12, 15, 18 = 180. Now, 180 = 2 * 2 * 3 * 3 *5 = 22 * 32 * 5.
To make it a perfect square, it must be multi... | 310 |
<|im_start|>user
One hour after Matthew started waking from r to y, a distance of 45km, Johnny started walking along the same road from y to r. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
Answer Choices: (A) 24 (B) 23 (C) 22 (D) 21 (E) 19.5<|im_en... | 87,793 |
<|im_start|>user
Insert the missing number
121, 112, ..., 97, 91, 86
Answer Choices: (A) 102 (B) 108 (C) 99 (D) 104 (E) 114<|im_end|>
<|im_start|>assistant
<think>
</think>
first and second number difference is starting from 9, and further decresed by 1 by each iteration.
121, 112, ..., 97, 91, 86....
Dfference betwe... | 17,247 |
<|im_start|>user
When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $111.30, what was the total value of the item?
Answer Choices: (A) $2380 (B) $2590 (C) $2760 (D) $2940 (... | 52,763 |
<|im_start|>user
There are 100 boxes numbered from 1 to 100. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Answer Choices: (A) 4650 (B) 4750 (... | 72,847 |
<|im_start|>user
Which of the following represents 1<x<9?
Answer Choices: (A) |x|<3 (B) |x+5|<4 (C) |x-1|<9 (D) |-5+x|<4 (E) |3+x|<5<|im_end|>
<|im_start|>assistant
<think>
</think>
|x| is the distance of x from the origin on the number line.
|x - 5| is the distance of x from the point 5 on the number line.
|x + 3| i... | 22,456 |
<|im_start|>user
Lucy bought a 1-year,10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. What was the total amount of interest paid on this certificate at maturity ?
.
Answer Choices: (A) 10464 (B) 864 (C) 816 (D) 800 (E) 480<|im_end|>
<|im_start|>assistant
<think>
<... | 43,505 |
<|im_start|>user
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Answer Choices: (A) 130 m (B) 140 m (C) 150 m (D) 170 m (E) 190 m<|im_end|>
<|im... | 9,206 |
<|im_start|>user
Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum?
Answer Choices: (A) 17 (B) 19 (C) 21 (D) 13 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 149 + 2* 70
a + b + c = √289 = 17
The answer i... | 82,076 |
<|im_start|>user
What is part of a cycle that holds an element or water for a long period of time called?
Answer choice: (A) homeostasis (B) a ditch (C) a reservoir (D) a holding tank<|im_end|>
<|im_start|>assistant
<think>
</think>
Part of a cycle that holds an element or water for a long period of time is called a ... | 5,278 |
<|im_start|>user
What do we call the energy-rich product of photosynthesis?
Answer choice: (A) chloride (B) sugar (C) insulin (D) glucose<|im_end|>
<|im_start|>assistant
<think>
</think>
Glucose is the energy-rich product of photosynthesis, a universal food for life. It is also the primary form in which your bloodstr... | 281 |
<|im_start|>user
If the side of the regular hexagon above is 2, what is the circumference of the inscribed circle?
Answer Choices: (A) 2∏√3 (B) 3∏ (C) 4∏/√3 (D) 2∏/√3 (E) ∏√3<|im_end|>
<|im_start|>assistant
<think>
</think>
Now AC will be 1 because circle is touching the midpoints of the circle.
Then we get kite ACBO... | 44,109 |
<|im_start|>user
The radius of a semi circle is 70 cm then its perimeter is?
Answer Choices: (A) 32.8 (B) 32.4 (C) 360 (D) 32.2 (E) 32.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Diameter = 140 cm
1/2 * 22/7 * 140 +140 = 360
The answer is C<|endoftext|> | 63,497 |
<|im_start|>user
By selling a 50meters cloth one gain the selling price of 20meters. Find the gain percent?
Answer Choices: (A) 50% (B) 100% (C) 75% (D) 25% (E) 90%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost of 1meter cloth be x
Gain = 50x-20x = 30x
gain % = 30x/30x*100 = 100%
The answer is B<|endo... | 74,449 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.