text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 10%?
Answer Choices: (A) 25% (B) 28% (C) 21% (D) 30% (E) 32%<|im_end|>
<|im_start|>assistant
<think>
</think>
The question is very easy. My logic is the following:
A surface = 6*a^2
After 10% i... | 79,721 |
<|im_start|>user
What is used to darken images of the sky?
Answer choice: (A) close-up filter (B) polarizing filters (C) uv filter (D) neutral density filter<|im_end|>
<|im_start|>assistant
<think>
</think>
Photographs of the sky can be darkened by polarizing filters, a trick used by many photographers to make clouds... | 1,447 |
<|im_start|>user
What natural destructive element cuts away at rock forming river valleys?
Answer choice: (A) water (B) sediment (C) lava (D) air<|im_end|>
<|im_start|>assistant
<think>
</think>
Lactic acid fermentation converts the 3-carbon pyruvate to the 3-carbon lactic acid (C 3 H 6 O 3 ) (see Figure below ) and ... | 10,919 |
<|im_start|>user
The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer Choices: (A) 70.9 (B) 75 (C) 48 (D) 65 (E) 67.5<|im_end|>
<|im... | 525 |
<|im_start|>user
The below sequence is a bit tricky. Can you solve it to find the next number?
7, 25, 325, 4325, ?
Answer Choices: (A) 29816 (B) 38291 (C) 54327 (D) 38290 (E) 55291<|im_end|>
<|im_start|>assistant
<think>
</think>
See the pattern. With every digit, the previous numbers are added after that digit
So th... | 12,358 |
<|im_start|>user
Find the value of m from (12)^3 x 6^4 ÷ 432 = m?
Answer Choices: (A) 2346 (B) 3546 (C) 4566 (D) 3455 (E) 5184<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
The answer is E<|endoftext|> | 43,141 |
<|im_start|>user
Evaluate: 6302.5 + 630.25 + 63.025 + 6.3025 + 0.63025
Answer Choices: (A) 6819.59775 (B) 6981.59775 (C) 6918.59775 (D) 6198.59775 (E) 7002.70775<|im_end|>
<|im_start|>assistant
<think>
</think>
6302.5
630.25
63.025
6.3025
+ 0.63025
---------------
7002.70775
The answer is E<|endoftext|> | 7,139 |
<|im_start|>user
A man whose bowling average is 12.4, takes 4 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Answer Choices: (A) 53 (B) 54 (C) 55 (D) 56 (E) 57<|im_end|>
<|im_start|>assistant
<think>
</think>
12.4*x+26=(4+x)12
solve equation... | 53,222 |
<|im_start|>user
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
Answer Choices: (A) 11 (B) 10 (C) 9 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<thin... | 41,077 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 538 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 2,002 |
<|im_start|>user
What should come in place of the question mark(?) in the following equation?
4 1⁄2 × 4 1⁄3 - 8 1⁄3 ÷ 5 2⁄3 = ?
Answer Choices: (A) 8 (B) 18 1⁄34 (C) 13 3⁄34 (D) 7⁄17 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
? = 9⁄2 × 13⁄3 - 25⁄3 × 3⁄17
= 39⁄2 - 25⁄17 = 663−50/34=613/34=18 1/... | 96,623 |
<|im_start|>user
John completes a piece of work in 10 days, Rose completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 6 days (B) 8 days (C) 10 days (D) 12 days (E) 14 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If A ... | 7,453 |
<|im_start|>user
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 2. If p is any prime number then f(p)=
Answer Choices: (A) p-1 (B) p-2 (C) (p+1) /2 (D) (p-1) /2 (E) 2... | 85,260 |
<|im_start|>user
What is the basic unit of structure and function of living things?
Answer choice: (A) cell (B) atom (C) molecule (D) particle<|im_end|>
<|im_start|>assistant
<think>
</think>
All forms of life are built of cells. A cell is the basic unit of the structure and function of living things.
The answer is A... | 3,929 |
<|im_start|>user
A dozen eggs and 10 pounds of grapes are currently at the same price. If the price of a dozen eggs rises by 7 percent and the price of oranges rises by 3 %. How much more will it cost to buy a dozen eggs and 10 pounds of oranges .
Answer Choices: (A) 2% (B) 4% (C) 5% (D) 15% (E) 10%<|im_end|>
<|im_star... | 62,977 |
<|im_start|>user
Mechanisms for establishing cellular asymmetries include morphogen gradients, localized determinants, and what other type of interactions?
Answer choice: (A) reductive (B) conductive (C) electromagnetic (D) inductive<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 9,449 |
<|im_start|>user
a car runs 10,000 miles using 5 tyres interchangably. to have equal wornout by all tyres, how many miles each tyre should have run?
Answer Choices: (A) 7000 miles (B) 8000 miles (C) 9000 miles (D) 6000 miles (E) 5000 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
simply 10000*4/5=8000
or
take... | 96,207 |
<|im_start|>user
If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio D of the resistors’ sum of A and C to the resistors’ sum of A and B?
A... | 82,989 |
<|im_start|>user
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 6, what is the ratio of these two new quantities?
Answer Choices: (A) 2/5 (B) 5/8 (C) 7/13 (D) 22/25 (E) It cannot be determined from the information given.<|im_end|>
<|im_start|>assistant
<think>
</think>
Correct Answer... | 61,503 |
<|im_start|>user
In how many ways, a committee of 5 members can be selected from 8 men and 5 ladies, consisting of 3 men and 2 ladies?
Answer Choices: (A) 75 (B) 152 (C) 175 (D) 560 (E) 612<|im_end|>
<|im_start|>assistant
<think>
</think>
(3 men out 8) and (2 ladies out of 5) are to be chosen
Required number of ways ... | 18,206 |
<|im_start|>user
A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 12 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Answer Choices: (A) 64 (B) 72 (C) 80 (D) 88 (E) 96<|im_en... | 42,331 |
<|im_start|>user
Last year, the price per transaction of certain company increases P percent from the year before, and the number of transactions increase N percent from the year before. Total revenue is simply the number of transactions times the price per transaction. Assume this one transaction is this company's onl... | 94,666 |
<|im_start|>user
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Answer Choices: (A) 25.7 years (B) 28 years (C) 29.3 years (D) 28.8 years (E) 29 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 34,374 |
<|im_start|>user
Jason flips a coin three times. What is the probability X that the coin will land on the same side in all three tosses?
Answer Choices: (A) 1/16 (B) 1/8 (C) 1/4 (D) 1/3 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Total outcome is 2^3=8
Favorable cases HHH or TTT
Therefore, probability X ... | 57,562 |
<|im_start|>user
Among the employees of a certain company, 53 percent of the employees are male and 47 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the proba... | 22,311 |
<|im_start|>user
C, D and E invested Rs.4500, Rs.9500 and Rs.11000 respectively, in a partnership business. Find the share of E in profit of Rs.25000 after a year?
Answer Choices: (A) 10000 (B) 11000 (C) 12000 (D) 13000 (E) 14000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4500:9500:11000
9:19:22
22... | 38,124 |
<|im_start|>user
What mammal is often a pollinator of nocturnal flowers?
Answer choice: (A) bat (B) sunbirds (C) hummingbirds (D) rabbits<|im_end|>
<|im_start|>assistant
<think>
</think>
Pollination by Bats In the tropics and deserts, bats are often the pollinators of nocturnal flowers such as agave, guava, and morni... | 531 |
<|im_start|>user
Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a >0.1. Which of the following operations would decrease the standard deviation of Set J?
Answer Choices: (A) Multiply each term by e/d (B) Divide each term by e/c (C) Multiply each term by −1 (D) Divide each term by d/e (E) Multiply ea... | 79,565 |
<|im_start|>user
The greatest number by which the product of three consecutive multiples of 2 is always
Answer Choices: (A) 54 (B) 48 (C) 162 (D) 243 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2*4*6 = 48
Option B
The answer is B<|endoftext|> | 92,047 |
<|im_start|>user
Peter invests $100,000 in an account that pays 10% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 10% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximate... | 18,408 |
<|im_start|>user
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?
Answer Choices: (A) 2400 m^2 (B) 2500 m^2 (C) 2520 m^2 (D) 2560 m^2 (E) 2580 m^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Solving the two equations, we get: l = 63 and b = 40.
Area = (l... | 17,690 |
<|im_start|>user
The number a yields a remainder p when divided by 11 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of a ?
Answer Choices: (A) 45 (B) 43 (C) 72 (D) 85 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
I solved this question in the followin... | 40,895 |
<|im_start|>user
What is the term for the force exerted by circulating blood on the walls of blood vessels?
Answer choice: (A) circulation pressure (B) heart pressure (C) blood pressure (D) blood energy<|im_end|>
<|im_start|>assistant
<think>
</think>
The force exerted by circulating blood on the walls of blood vesse... | 2,142 |
<|im_start|>user
for every correct answer 4 is awarded but for a wrong answer 2 is deducted. If there are a total of 150 questions and sukanya scores 480 how many answers of sukanya were correct?
Answer Choices: (A) 110 (B) 120 (C) 130 (D) 140 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
If x questions ar... | 72,782 |
<|im_start|>user
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Answer Choices: (A) 384 (B) 656 (C) 443 (D) 324 (E) 534<|im_end|>
<|im_start|>assistant
<think>
</think>
Average mark s... | 7,946 |
<|im_start|>user
Find the probability that a number selected from numbers 1, 2, 3,..., 40 is a prime number, when each of the given numbers is equally likely to be selected?
Answer Choices: (A) 10/40 (B) 12/40 (C) 8/40 (D) 3/40 (E) 7/40<|im_end|>
<|im_start|>assistant
<think>
</think>
Let X be the event of selecting ... | 58,552 |
<|im_start|>user
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 10, and the difference between the total nu... | 54,419 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 4,098 |
<|im_start|>user
The elementary school has 19 fourth graders, 23 fifth graders, and 29 six graders. Fourth graders have 30 minutes of homework per night, fifth graders have 40 minutes of homework per night, and six graders have 60 minutes of homework per night. How many minutes per night does the average student with h... | 87,442 |
<|im_start|>user
If GCD of two numbers (both integers, greater than 1) is 1, then which of the following must be true?
1. They are prime.
2. They are consecutive.
3. They do not have a common prime factor
4. They do not have a common factor other than 1
Answer Choices: (A) Only 1 (B) Only 2 (C) Only 3 and 4 (D) Only 1 ... | 45,726 |
<|im_start|>user
0.014×0.014= ?
Answer Choices: (A) 0.000196 (B) 0.00196 (C) 19.6 (D) 196 (E) NONE<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Sum of decimals places= 6.
14×14 = 196.
= s0.014×0.014
= 0.000196
The answer is A<|endoftext|> | 22,922 |
<|im_start|>user
One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies?
Answer Choices: (A) 20 minutes (B) 30 minutes (C) 40 minutes (D) 50 minutes (E) 60 minutes<|im_end|>
<|im_start|>assistan... | 12,706 |
<|im_start|>user
A man purchased a grinder for Rs. 660 and sold it at a profit of 10%. The selling price is:
Answer Choices: (A) Rs. 736 (B) Rs. 812 (C) Rs. 660 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
s.p.=110/100 × 600 = 660
The answer is C<|endoftext|> | 73,055 |
<|im_start|>user
An empty fuel tank with a capacity of 204 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Answer Choic... | 48,087 |
<|im_start|>user
If the price of a certain computer increased 30 percent from d dollars to 377 dollars, then 2d =
Answer Choices: (A) 540 (B) 570 (C) 619 (D) 649 (E) 580<|im_end|>
<|im_start|>assistant
<think>
</think>
Before Price increase Price = d
After 30% Price increase Price = d+(30/100)*D = 1.3d = 377 (Given)
... | 94,266 |
<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 3.8. 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 (C) 6.1 (D) 7 (E) 7.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate = 282 - (3.8 x 10) = 244
2... | 6,163 |
<|im_start|>user
P and Q can complete a work in 10 days and 6 days respectively. P alone started the work and Q joined him after 2 days till the completion of the work. How long did the work last?
Answer Choices: (A) 5 days (B) 10 days (C) 14 days (D) 22 days (E) 26 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 62,748 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 5,106 |
<|im_start|>user
Find the wrong number in the series.
3, 8, 15, 24, 34, 48, 63
Answer Choices: (A) 37 (B) 38 (C) 34 (D) 888 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The difference between consecutive numbers of the given series are respectively 5, 7, 9, 11, 13, and 15.
Therefore, 24+11=35 ... | 25,267 |
<|im_start|>user
In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
Answer Choices: (A) 20 (B) 30 (C) 24 (D) 12 (E) 26<|im_end|>
<|im_start|>assistant
<... | 14,623 |
<|im_start|>user
A train is 435 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Answer Choices: (A) 20 seconds (B) 30 seconds (C) 46 seconds (D) 50 seconds (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = 45 Km/hr = 45*(5/18... | 17,495 |
<|im_start|>user
In a division, a student took 87 as divisor instead of 36. his answer was 24 . The correct answer is-
Answer Choices: (A) 42 (B) 32 (C) 48 (D) 28 (E) 58<|im_end|>
<|im_start|>assistant
<think>
</think>
X/87 = 24.
X = 24 *87.
So correct answer would be,
(24 *87) /36 = 58.
The answer is E<|endoftext|> | 87,103 |
<|im_start|>user
There are, in a certain league, 8 teams, and each team face another team for a total of 12 times. How many games are played in the season?
Answer Choices: (A) 150 (B) 121 (C) 144 (D) 180 (E) 1200<|im_end|>
<|im_start|>assistant
<think>
</think>
By using the formula, t[n(n - 1) / 2], where t = no. of ... | 85,459 |
<|im_start|>user
Find the least number of complete years in which a sum of money put out at 33.3% compound interest will be more than double of itself?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
3 years
The answer is A<|endoftext|> | 65,805 |
<|im_start|>user
A driver covers a certain distance by car driving at 50 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
Answer Choices: (A) 12.5 km/h (B) 14.8 km/h (C) 16.7 km/h (D) 17.5 km/h (E) 18.9 km/h<|im_end|>
<|im_start|>assistant
<... | 42,140 |
<|im_start|>user
Which is the following is divisible by 11
Answer Choices: (A) A) 3052 (B) B) 4825 (C) C) 4805 (D) D) 4905 (E) E) 4906<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of first 'n' natural numbers = n(n + 1)/2
Sum of first 8 natural numbers = 7(7+ 1)//2 = 7 x 4 = 28
Sum of first 88 na... | 29,495 |
<|im_start|>user
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Two years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Answer Choices: (A) A) 24 (B) B) 89 (C) C) 67 (D) D) 56 (E) E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 70,914 |
<|im_start|>user
Saturn travels around the sun at a speed of approximately 6.1 miles per second. The approximate speed is how many miles per hour?
Answer Choices: (A) 17,430 (B) 18,560 (C) 19,720 (D) 20,840 (E) 21,960<|im_end|>
<|im_start|>assistant
<think>
</think>
6.1 * 3600 = 29,160
The answer is E<|endoftext|> | 60,545 |
<|im_start|>user
A person distributed 20% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $50000. Find his total income?
Answer Choices: (A) A) 452000 (B) B) 562000 (C) C) 800000 (D) D) 1000000 (E) E) 652000<... | 80,961 |
<|im_start|>user
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, the son's age 10 years back was:
Answer Choices: (A) 10 years (B) 19 years (C) 33 years (D) 38 years (E) 39years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ... | 80,992 |
<|im_start|>user
The average weight of A, B and C is 43 kg. If the average weight of A and B be 48 kg and that of B and C be 42 kg, then the weight of B is:
Answer Choices: (A) 55 kg (B) 53 kg (C) 49 kg (D) 52 kg (E) 51 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION
Let A, B, C represent their respec... | 93,819 |
<|im_start|>user
X, Y and Z, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $2350, what will be Z's share of the earnings?
Answer Choices: (A) $525 (B) $550.50 (C) $1080.02 (D) $522.3 (E) $1020.2<|im_end|>
<|im_start|>assistant
<thin... | 44,870 |
<|im_start|>user
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Answer Choices: (A) 3.2 km (B) 3 km (C) 2.4 km (D) 3.6 km (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Speed ... | 91,999 |
<|im_start|>user
A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is
Answer Choices: (A) 12km (B) 16 km (C) 20 km (D) 24 km (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 873 |
<|im_start|>user
Find the principle on a certain sum of money at 5% per annum for 4 years if the amount being Rs.1120?
Answer Choices: (A) 933 (B) 1067 (C) 1977 (D) 1056 (E) 1097<|im_end|>
<|im_start|>assistant
<think>
</think>
1120 = P [1 + (5*4)/100]
P= 933
The answer is A<|endoftext|> | 91,802 |
<|im_start|>user
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms F in the sequence are smaller than the average?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the sequence have N terms starting 18*K
--... | 75,211 |
<|im_start|>user
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 21 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Initial average age of the 10 pe... | 51,203 |
<|im_start|>user
The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 52. What is the cost price of the article?
Answer Choices: (A) Rs. 40 (B) Rs. 50 (C) Rs. 49 (D) Rs. 59 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
S.P 1- C.P = C.P – S.P ... | 39,892 |
<|im_start|>user
A ball is bought for Rs.400 and sold at a gain of 20% find its selling price
Answer Choices: (A) Rs.400/- (B) Rs.480/- (C) Rs.500/- (D) Rs.520/- (E) Rs.540/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
B... | 23,290 |
<|im_start|>user
If 70% of a number exceeds 28% of it by 39.9, then find the number?
Answer Choices: (A) 65 (B) 67 (C) 100 (D) 95 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
Use the elimination method to find the correct option.
Of all the options only 95 fits
70% of 95 = 66.5
28% of 95 = 26.6
66.5 - 26.6... | 13,256 |
<|im_start|>user
Find out the C.I on Rs.2000 at 4% p.a. compound half-yearly for 1 1/2 years.
Answer Choices: (A) A) Rs.420.20 (B) B) Rs.319.06 (C) C) Rs.306.04 (D) D) Rs.294.75 (E) E) Rs.295.75<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 2000(51/50)3
= 2122.41
2000
-----------
122.41
The answer is C<|endoft... | 24,735 |
<|im_start|>user
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer Choices: (A) 11 (B) 10 (C) 817 (D) 117 (E) 111<|im_end|>
<|im_start|>assistant
<think>... | 78,779 |
<|im_start|>user
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Answer Choices: (A) 276 (B) 271 (C) 200 (D) 278 (E) 268<|im_end|>
<|im_... | 91,280 |
<|im_start|>user
4,25,49,121,169,289,361,529,
Answer Choices: (A) 149 (B) 169 (C) 841 (D) 920 (E) 219<|im_end|>
<|im_start|>assistant
<think>
</think>
29^2= 841 because follow sequence of square of the prime numbers
The answer is C<|endoftext|> | 53,167 |
<|im_start|>user
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 4 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J... | 4,936 |
<|im_start|>user
The ratio of the radius of two circles is 1: 5, and then the ratio of their areas is?
Answer Choices: (A) 1:7 (B) 2:9 (C) 1:25 (D) 3:7 (E) 3:4<|im_end|>
<|im_start|>assistant
<think>
</think>
r1: r2 = 1: 5
Î r1^2: Î r2^2
r1^2: r2^2 = 1:25
The answer is C<|endoftext|> | 39,814 |
<|im_start|>user
Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Ronit's present age be x... | 1,243 |
<|im_start|>user
Rory and Roxy, both house cats, love to hunt and chase insects. Since Rory only has three paws, Roxy is able to catch approximately 2.5 times more insects than Rory in one day.
After 3 days of hunting, Roxy was able to catch 23 insects. Assuming that both cats had an equal amount of hunting time, how m... | 68,275 |
<|im_start|>user
If the selling price of 8 articles is same as the cost price of 12 articles. Find the gain or loss percentage?
Answer Choices: (A) 30% gain (B) 30% loss (C) 50% gain (D) 50% loss (E) 60% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the C.P of each article be Re 1. Then,
S.P ... | 93,556 |
<|im_start|>user
The area of Circle O is added to its diameter. If twice the circumference of Circle O is then subtracted from this total, the result is 8. What is the diameter of Circle O?
Answer Choices: (A) 4/π (B) 4 (C) 8 (D) 10 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
area+diameter-2*circumference=... | 2,657 |
<|im_start|>user
What is the leading cause of death in the united states?
Answer choice: (A) suicide (B) heart disease (C) automobile accidents (D) lung cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
Cardiologist Heart disease is the leading cause of death in the United States. This is primarily due to our s... | 894 |
<|im_start|>user
Find the value of m 62519 x 9999 = m?
Answer Choices: (A) 724533811 (B) 353654655 (C) 545463251 (D) 625127481 (E) 477899932<|im_end|>
<|im_start|>assistant
<think>
</think>
62519 x 9999 = 62519 x (10000 - 1)
= 62519 x 10000 - 62519 x 1
= 625190000 - 62519
= 625127481
D
The answer is D<|endoftext|> | 60,450 |
<|im_start|>user
A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 3hrs by riding both ways. The time he would take to walk both ways is?
Answer Choices: (A) 5 hours 45 min (B) 5 hours 55 min (C) 6 hours 45 min (D) 8 hours 45 min (E) 9 hours<|im_end|>
<|im_start|>assistant
<think>
... | 19,308 |
<|im_start|>user
Ms. Morris invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A?
Answer Cho... | 76,961 |
<|im_start|>user
A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of ho... | 65,120 |
<|im_start|>user
What are unique in having adaptive immunity in addition to innate immunity?
Answer choice: (A) invertebrates (B) cells (C) vertebrates (D) organelles<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 1,156 |
<|im_start|>user
Which of the following must be true if b=x^5
I. b is positive.
II. x is non-negative.
III. If x is positive then b is positive.
Answer Choices: (A) I only (B) II and III only (C) II only (D) I and III only (E) III only<|im_end|>
<|im_start|>assistant
<think>
</think>
I. b is negative --> true
II. b i... | 27,062 |
<|im_start|>user
Solve the equation for x : 2(x + 2y + 3) = -x + y
Answer Choices: (A) 1 (B) 2 (C) 3 (D) -1 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
E
-2
2(x + 2y + 3) = -x + 4y
2x + 4y + 6 = -x + 4y
3x + 6 = 0
3x = -6
=> x = -2
The answer is E<|endoftext|> | 56,069 |
<|im_start|>user
What is the name of the life stage when a child becomes sexually mature?
Answer choice: (A) adolescence (B) puberty (C) maturity (D) adulthood<|im_end|>
<|im_start|>assistant
<think>
</think>
Puberty is the stage of life when a child becomes sexually mature. Puberty lasts from about 12 to 18 years of... | 8,114 |
<|im_start|>user
what is the angle between the hands of a clock when time is 10:30?
Answer Choices: (A) 65deg (B) 75deg (C) 45deg (D) 15deg (E) 135deg<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle between two hands =
30h - 11/2 m = 30*10 - 30*11/2 = 300 - 165 = 135deg
The answer is E<|endoftext|> | 21,198 |
<|im_start|>user
How many positive integers r less than 30 have no common prime factor with 30?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
r=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, ... | 36,419 |
<|im_start|>user
by what least number 4320 be multiplied to obtain a number which is a perfect cube ?
Answer Choices: (A) 25 (B) 50 (C) 70 (D) 30 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Clearly, 4320 = 23 * 33 * 22 * 5.
to make it a perfect cube, it must be multiplied by 2 * 52 i.e., 50 .
The... | 70,887 |
<|im_start|>user
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Answer Choices: (A) 1 (B) 5 (C) 3 (D) 4 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x = 296q + 75
= (37 x 8q + 37 x 2) + 1
= 37 (8q + 2) + 1
Thus, when the number is divi... | 88,110 |
<|im_start|>user
What is the units' digit of the following expression (13)^5*(19)^5*(17)^5?
Answer Choices: (A) 0 (B) 1 (C) 3 (D) 5 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
We do not have to do any calculations or find units digit of remaining numbers...
all three terms - 13,19,17 - are ODD and since th... | 94,670 |
<|im_start|>user
If (n+2)!/n!=110, n=?
Answer Choices: (A) 2/131 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
(n+2)!/n!= 110
Rewrite as:[(n+2)(n+1)(n)(n-1)(n-2)....(3)(2)(1)]/[(n)(n-1)(n-2)....(3)(2)(1)]= 132
Cancel out terms: (n+2)(n+1) = 110
From here, we might just TEST the answer ch... | 10,186 |
<|im_start|>user
If x < 0 and 0 < y < 1, which of the following has the greatest value L?
Answer Choices: (A) x^2 (B) (xy) ^2 (C) (x/y) ^2 (D) x^2/y (E) x^2*y<|im_end|>
<|im_start|>assistant
<think>
</think>
Given, x < 0 and 0 < y < 1
Let, x = -2 and y = 1/2
A. x^2 = (-2)^2 =4
B. (xy)^2 = (-2*1/2)^2 =1
C. (x/y)^2 = {... | 92,857 |
<|im_start|>user
Find the simple interest on $3200 for 3 years at 10% per annum?
Answer Choices: (A) $250 (B) $300 (C) $500 (D) $600 (E) $960<|im_end|>
<|im_start|>assistant
<think>
</think>
SI = PTR/100
= 3200*3*10/100 = $960
The answer is E<|endoftext|> | 25,237 |
<|im_start|>user
The letters E,A,W,D,S and R are rearranged to form the word 'Rewads'. Find its probability.
Answer Choices: (A) 1/120 (B) 1/720 (C) 1/680 (D) 1/760 (E) 1/53<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
There are total 6 letters. The probability that E gets the first position is 1/6.... | 33,342 |
<|im_start|>user
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Answer Choices: (A) 32:47 (B) 32:49 (C) 32:45 (D) 32:46 (E) 32:41<|im_end|>
<|... | 19,077 |
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