text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Answer Choices: (A) 20 (B) 21 (C) 30 (D) 9 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days
The answer is D<|endoftext|> | 13,458 |
<|im_start|>user
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Answer Choices: (A) 407 (B) 756 (C) 347 (D) 248 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
We may have (3 men and 2 ... | 62,921 |
<|im_start|>user
if a * b = 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to :
Answer Choices: (A) 22 (B) 24 (C) 26 (D) 28 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
3 × 5 + 5 ×3 = (2 ×3 - 3 × 5 + 3 × 5) + 2 (2 × 5 - 3 × 3 +5 × 3)
= (6 + 10 - 9 + 15) = 22.
The answer is A<|endoftext|> | 83,318 |
<|im_start|>user
A train running at a speed of 60 kmph crosses a pole in 18 seconds.What is the length of the train?
Answer Choices: (A) 120 m (B) 300 m (C) 190 m (D) 150 m (E) 160 m<|im_end|>
<|im_start|>assistant
<think>
</think>
60 kmph=50/3 m/sec
50/3*18=300 m
The answer is B<|endoftext|> | 59,273 |
<|im_start|>user
What is the name of film that polyester fibers form?
Answer choice: (A) layers (B) fabric (C) mylar (D) Softness<|im_end|>
<|im_start|>assistant
<think>
</think>
Polyester molecules make excellent fibers and are used in many fabrics. A knitted polyester tube, which is biologically inert, can be used ... | 554 |
<|im_start|>user
A certain hobby shop sold model cars for $5.00 each and model trains for $8.00 each. If a customer purchased both cars and trains from the store for a total of $31.00, what total number of cars and trains did the customer purchase?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>ass... | 61,346 |
<|im_start|>user
James celebrated his 23rd Birthday on 2016 but he was strangely born in 1950. How can this be possible?
Answer Choices: (A) 1250 (B) 1850 (C) 1980 (D) 1950 (E) 1750<|im_end|>
<|im_start|>assistant
<think>
</think>
D
I was born in Hospital whose room number is 1950.
The answer is D<|endoftext|> | 48,513 |
<|im_start|>user
Three numbers are in the ratio 1:3:6 and their H.C.F is 4. The numbers are?
Answer Choices: (A) 4, 12, 24 (B) 4, 12, 20 (C) 4, 12, 22 (D) 4, 12, 28 (E) 4, 16, 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required numbers be x, 3x and 6x. Then, their H.C.F = x. So, x = 4.
The numbers ar... | 70,768 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 3,195 |
<|im_start|>user
Out of 9 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Answer Choices: (A) 1/36 (B) 10/36 (C) 20/36 (D) 11/36 (E) 2/36<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive events = 9C2 = 36.
Let E be e... | 34,841 |
<|im_start|>user
If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 750, how many terms that are smaller than 625 are there in the sequence?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 12 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the median is 625 we know... | 86,999 |
<|im_start|>user
A man can row a boat at 14 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 80 km downstream?
Answer Choices: (A) 85/19 (B) 90/18 (C) 80/19 (D) 70/19 (E) 60/19<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 14 + 5 =19 kmph.
Ti... | 17,275 |
<|im_start|>user
How many seconds will a 400 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 287 (B) 288 (C) 900 (D) 277 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Let length of tunnel is... | 80,063 |
<|im_start|>user
A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
Answer Choices: (A) 6790 (B) 6890 (C) 6700 (D) 2667 (E) 2671<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (d * 1002) / R2
=> (55 * 100 * 100) / 9 * 9 =... | 11,738 |
<|im_start|>user
The probability of Sam passing the exam is 1/5. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
Answer Choices: (A) 1/24. (B) 1/2. (C) 5/6. (D) 2/3. (E) 2/5<|im_end|>
<|im_start|>assistant
<think>
</think... | 20,495 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A run-on sentence is made up of two sentences that are joined without end punctuation or with ju... | 2,907 |
<|im_start|>user
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 28, what is the common ratio of the G.P?
Answer Choices: (A) 3 (B) 1/3 (C) 2 (D) 9 (E) 1/9<|im_end|>
<|im_start|>assistant
<think>
</think>
28=(a1+a2+a3+a4+a5+a6)/(a1+a2+a3)
Factorize the same terms
... | 52,492 |
<|im_start|>user
The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
Answer Choices: (A) 1/3 (B) 3/4 (C) 3/5 (D) 3/7 (E) 4/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. First, we find the probability of not solving... | 77,209 |
<|im_start|>user
Tom divided $360 among his six children for them to use for Christmas gifts. His daughter Kate
added $20 to her portion, then used the money to buy 16 gifts that each cost the same amount.
What was the price of each of Kate’s gifts?
Answer Choices: (A) $5 (B) $10 (C) $15 (D) $20 (E) $25<|im_end|>
<|im_... | 2,348 |
<|im_start|>user
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Answer Choices: (A) 187 ways (B) 500 ways (C) 168 ways (D) 659 ways (E) 175 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
We can select one boy from 20 boys in 20 ways.
We select one girl from 25 gir... | 57,517 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 72 kmph and 90 kmph. In how much time will the trains cross each other?
Answer Choices: (A) 80/8 (B) 80/9 (C) 80/5 (D) 80/3 (E) 80/1<|im_end|>
<|im_start|>assistant
<think>
</think>... | 40,699 |
<|im_start|>user
What is the measure of an individual’s weight-to-height ratio called?
Answer choice: (A) body density index (bdi) (B) body mass index (bmi) (C) body matter index (bmi) (D) density index (di)<|im_end|>
<|im_start|>assistant
<think>
</think>
Metabolism and Obesity Obesity in the United States is epidem... | 4,449 |
<|im_start|>user
If A and B get profits of Rs. 6000 and Rs. 4000 respectively at the end of year the ratio of their investments are ?
Answer Choices: (A) 1:4 (B) 3:2 (C) 2:3 (D) 2:5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
profit=Investment * Time
so,
6000=i1 *1=6000
4000=i2 * 1= 4000
i1/i2=... | 53,900 |
<|im_start|>user
On a partly cloudy day, milton decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did... | 1,235 |
<|im_start|>user
A car travelling with 5/7 of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speedof the car?
Answer Choices: (A) 52km/hr (B) 25km/min (C) 35km/hr (D) 125km/hr (E) 63km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken=1hr 40 min 48sec
=1hr 404/5 min=1 51/75hrs =126/75h... | 20,884 |
<|im_start|>user
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 9000 ?
Answer Choices: (A) 11 (B) 13 (C) 15 (D) 18 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Required difference = [3 ½ % of Rs.9000] – [3 1/3... | 39,007 |
<|im_start|>user
In a group of 100 adults, 60 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Answer Choices: (A) 40 (B) 52 (C) 54 (D) 60 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
12 left-haded women compose 100-60=40% (or 2/5) of all... | 79,181 |
<|im_start|>user
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner... | 86,187 |
<|im_start|>user
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 66 days after his birthday?
Answer Choices: (A) Thursday (B) Friday (C) Saturday (D) Sunday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
Day of week after 66 days after Arman's birthday = 7*9 + 3
Saturday as the p... | 95,041 |
<|im_start|>user
if an article with marked price of rs.400 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Answer Choices: (A) 360 (B) 300 (C) 230 (D) 270 (E) 290<|im_end|>
<|im_start|>assistant
<think>
</think>
discount=0.9*.75*.85=.57
so .57*400=230
The answer is C<|endo... | 84,555 |
<|im_start|>user
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Answer Choices: (A) 31:1 (B) 31:4 (C) 31:8 (D) 31:9 (E) 31:2<|im_end|>
<|im_start|>assistant
<think>
</think>... | 32,567 |
<|im_start|>user
Circular gears L and R start to rotate at the same time at the same rate. Gear R makes 10 complete revolutions per minute and gear L makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear L have made exactly 6 more revolutions than gear R?
Answer Choices: (A) a) 6 ... | 85,313 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 5,342 |
<|im_start|>user
Find the least number of complete years in which a sum of money put out at 50% compound interest will be more than double of itself?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
2 years
The answer is A<|endoftext|> | 13,993 |
<|im_start|>user
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.5 hours, then the distance covered at 40 kmph is
Answer Choices: (A) 130 km (B) 160km (C) 100km (D) 140km (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 81,364 |
<|im_start|>user
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
Answer Choices: (A) 3: 4 (B) 4 : 3 (C) 9 : 7 (D) 7 : 9 (E) 8 : 1<|im_end|>
<|im_st... | 34,138 |
<|im_start|>user
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Answer Choices: (A) 22 (B) 20 (C) 288 (D) 277 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days
T... | 22,794 |
<|im_start|>user
If the weight of 13 meters long rod is 13.4 kg. What is the weight of 6 meters long rod ?
Answer Choices: (A) 7.2 kg. (B) 10.8 kg. (C) 12.4 kg. (D) 6.18 kg (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
∵Weight of 13 m long rod = 13.4 kg
∴ Weight of 1 m long rod = 13.4 / 13 kg
∴ Wei... | 74,679 |
<|im_start|>user
How many positive integers of three different digits, each less than 400 can be formed from the digits 1, 2, 3, 4, 5 and 6?
Answer Choices: (A) 30 (B) 60 (C) 90 (D) 120 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
For the # to be < 400 the 100s digit shud be < 4 => one out of 3 choices 1/... | 37,400 |
<|im_start|>user
Find the average of all numbers between 5 and 45 which are divisible by 6
Answer Choices: (A) 26 (B) 24 (C) 28 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average=(6+12+18+24+30+36+42 / 6)=168/6=28
Option C
The answer is C<|endoftext|> | 15,064 |
<|im_start|>user
The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?
Answer Choices: (A) Rs. 200 (B) Rs. 100 (C) Rs. 150 (D) Rs. 250 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
TD = (BG ×100)/TR = (20×100)/(1×10) = Rs. 200
The answer... | 40,208 |
<|im_start|>user
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 9,000 tickets were given out in the first four months of the year. How many tickets should the ... | 30,466 |
<|im_start|>user
When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [7]*[8] = ?
Answer Choices: (A) [22] (B) [44] (C) [75] (D) [88] (E) [90]<|im_end|>
<|im_start|>assistant
<think>
</think>
[7]*[8]=(7*2+1)(8/2+1)
=[75].
The answer is C<|endoftext|> | 85,739 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 5,694 |
<|im_start|>user
Ten friends went to an ice cream parlour, and everyone decided to contribute equally to the total bill of $50. If one of the friends had a coupon for 10% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Answer Choic... | 56,954 |
<|im_start|>user
The product of n+1 consecutive positive integers is always divisible by
Answer Choices: (A) n^2 -1 (B) (n+1) ! (C) 2n +1 (D) n^2 + 1 (E) n!<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in some vlues and check -
Product of first 2 number is 2*1
Product of first 3 number is 3*2*1
Product of fi... | 32,800 |
<|im_start|>user
A stem cell is an unspecialized cell that can divide without limit as needed and can, under specific conditions, differentiate into these?
Answer choice: (A) clones (B) specialized cells (C) infectious cells (D) germ cells<|im_end|>
<|im_start|>assistant
<think>
</think>
Stem Cells A stem cell is an ... | 2,817 |
<|im_start|>user
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 24km/hr, then find the area of square field.
Answer Choices: (A) 125 (B) 225 (C) 256 (D) 425 (E) None of these<|im_end|>
<|i... | 33,370 |
<|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.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 2,548 |
<|im_start|>user
10 women will complete a job in 7 days and 10 children take 14 days to complete the job. How many days will 5 women and 10 children take to complete the work?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
woman 1 day work = 1/70
1 child 1 day work = ... | 94,845 |
<|im_start|>user
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Answer Choices: (A) 70 km/hr (B) 75 km/hr (C) 80 km/hr (D) 87.5 km/hr. (E) 97.5 km/hr.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of two trains b... | 45,896 |
<|im_start|>user
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 12,000 after 3 years at the same rate?
Answer Choices: (A) 2345 (B) 3546 (C) 4556 (D) 6343 (E) 3972<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = 100 x 60 = 10% p.... | 21,275 |
<|im_start|>user
If a sample of data has mean of 23 and SD of 3, which of the following values is more than 2.5 SDs from the mean?
Answer Choices: (A) a. 16 (B) b. 13.5 (C) c. 17 (D) d. 23.5 (E) e. 26.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Value ismore than 2.5SDfrom the mean means that the distance betwe... | 71,182 |
<|im_start|>user
A mirror 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
Answer Choices: (A) 96 (B) 94 (C) 28 (D) 44 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
This question is an example of a 'punch out' question... | 80,460 |
<|im_start|>user
A shipment of 8 television sets contains 2 black-and-white sets and 6 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A.
B.
C.
D.
E. 13/28
Answer Choices: (A) 1/7 (B) 1/4 (C) 5/14... | 50,293 |
<|im_start|>user
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35%, then find the population of city atthe end of the year 2007
Answer Choices: (A) 976374 (B) 979923 (C) 1009125 (D) 2356677 (E) 1083875<|im_e... | 3,186 |
<|im_start|>user
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Answer Choices: (A) 5 (B... | 49,121 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Formal writing is used for essays, business letters, and reports. The following types of informal language should be avoided in formal writing:
Type | Examples
slang | cool, awesome
idioms | knock your socks off
conversation... | 6,015 |
<|im_start|>user
Suppose 6 monkeys take 6 minutes to eat 6 bananas. How many monkeys would it take to eat 18 bananas in 18 minutes?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 6 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
One monkey takes 6 min to eat 1 banana , so in 18 mins 1 monkey will eat 3 bananas , so ... | 33,974 |
<|im_start|>user
Rani started a business investing Rs. 10,000. Roja joined him after six months with an amount of Rs. 35,000 and Sachin joined them with Rs. 70,000 after another six months. The amount of profit earned should be distributed in what ratio among Rani, Roja and Sachin respectively, 3 years after started th... | 43,481 |
<|im_start|>user
A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 3% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
Answer Choices: (A) 3.5 (B) 3.75 (C) 4 (D) 4.25 (E) 4.86<|im_end|>
<|im_start|>assistant
<think>
</think>
(1000xtx3/100) + ... | 93,628 |
<|im_start|>user
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 10 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy... | 20,244 |
<|im_start|>user
What is a reaction in which an atom or molecule is added to an unsaturated molecule, making a single product?
Answer choice: (A) complete reaction (B) an addition reaction (C) homeostasis (D) single reaction<|im_end|>
<|im_start|>assistant
<think>
</think>
An addition reaction is a reaction in which ... | 2,337 |
<|im_start|>user
After an infection has been brought under control and most cytotoxic t cells die off, a few remain as what?
Answer choice: (A) b cells (B) natural killer cells (C) memory cells (D) control cells<|im_end|>
<|im_start|>assistant
<think>
</think>
After an infection has been brought under control, most c... | 9,633 |
<|im_start|>user
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Answer Choices: (A) 16 (B) 17 (C) 10 (D) 19 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of Arun and Deepak be 4x and 3x ... | 3,093 |
<|im_start|>user
An insect leaps 72 centimeters in 1.2 seconds. What is its speed?
Answer Choices: (A) 6 centimeters per second (B) 0.6 centimeters per second (C) 0.6 meters per second (D) 8.64 centimeters per second (E) 0.864 meters per second<|im_end|>
<|im_start|>assistant
<think>
</think>
72 / 1.2 = 60 cm/s = 0.6... | 59,575 |
<|im_start|>user
A card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond?
Answer Choices: (A) 1/52 (B) 1/26 (C) 2/37 (D) 1/14 (E) 1/27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n(S) = sample space and here n(s) = 52
n(E) = event of getting the 3 diamond = 1
therefor... | 13,539 |
<|im_start|>user
A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
Answer Choices: (A) 10% Loss (B) 10% Gain (C) 20% Loss (D) 20% Gain (E) 30% Gain<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = (Selling price ~ Cost price)/Cost price * 100
= (810 ~ 900)/900 = 10% Loss
A
The ans... | 91,503 |
<|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... | 5,368 |
<|im_start|>user
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
Answer C... | 82,035 |
<|im_start|>user
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9}
for which the sum of those 7 elements is a multiple of 3 ?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
We describe 2 solutions. Let S = {1, 2, . . . , 9}. Observe tha... | 81,422 |
<|im_start|>user
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Answer Choices: (A) 7500 (B) 2776 (C) 2877 (D) 2667 (E) 2671<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (d * 1002) / R2
=> (48 * 100 * 100) / 8 * 8 =... | 86,009 |
<|im_start|>user
Three friends Alice, Bond and Charlie divide $1260 amongs them in such a way that if $10, $20 and $30 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 10 : 20 : 30. How much did Charlie receive?
Answer Choices... | 28,944 |
<|im_start|>user
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 65 sec (B) 30 sec (C) 87 sec (D) 88 sec (E) 55 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of tra... | 521 |
<|im_start|>user
A department of ten people - six men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Answer Choices: (A) 120 (B) 150 (C) 180 (D) 210 (E) 240... | 18,682 |
<|im_start|>user
Line Q has the equation 3x + y = 7. Which of the following lines is perpendicular to Line Q?
Answer Choices: (A) y = 3x + 4 (B) y = –3x – 6 (C) y = (1/3) x – 1 (D) y = (–1/3) x + 2 (E) y = (–7/3) x – 5<|im_end|>
<|im_start|>assistant
<think>
</think>
I first rewrote the equation in the standard ... | 36,020 |
<|im_start|>user
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold W was 25,200, how many of them were sold... | 93,806 |
<|im_start|>user
In a race of length L metres, Johnson beats Lewis by P metres and Greene by Q metres, By how many metres does Lewis beat Greene in the same race ? (P<Q)
Answer Choices: (A) L(L-Q) / L-P (B) L(Q-P) / L-P (C) L-Q (D) P-Q (E) P+Q<|im_end|>
<|im_start|>assistant
<think>
</think>
As the time is constant... | 67,150 |
<|im_start|>user
Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
Answer Choices: (A) 11.25 (B) 12.25 (C) 13.25 (D) 9.25 (E) 10.75<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a simple multiplication series. Each number is 7 times greater than the previous numbe... | 22,684 |
<|im_start|>user
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Answer Choices: (A) 23 (B) 26 (C) 41 (D) 35 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
(D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35.
The answer is D<|endoftext|> | 36,313 |
<|im_start|>user
A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $360 less than the sum lent. What was the sum lent?
Answer Choices: (A) 540 (B) 560 (C) 580 (D) 600 (E) 680<|im_end|>
<|im_start|>assistant
<think>
</think>
P - 360 = (P*5*8)/100
P = 600
Th... | 54,056 |
<|im_start|>user
What is the physical area where a specie lives?
Answer choice: (A) marine biome (B) habitat (C) ecosystem (D) farmland<|im_end|>
<|im_start|>assistant
<think>
</think>
The habitat is the physical area where a species lives. Many factors are used to describe a habitat. The average amount of sunlight r... | 7,794 |
<|im_start|>user
(0.76)(power 3) - (0.1)(power 3)/ (0.76)(power 2) + 0.076 + (0.1)(power 2) is:
Answer Choices: (A) 0.66 (B) 0.68 (C) 0.96 (D) 0.69 (E) 0.76<|im_end|>
<|im_start|>assistant
<think>
</think>
Given expression
= (0.76) (power 3) - (0.1)(power 3) / (0.76)(power 2) + (0.76 x 0.1) + (0.1)(power 2)
= a (powe... | 22,184 |
<|im_start|>user
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 20 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lo... | 49,383 |
<|im_start|>user
A contest will consist of n questions, each of which is to be answered wither "True" or "False". Anyone who answers all n questions correctly will be a winner. What is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will ... | 38,862 |
<|im_start|>user
If x=-3, which of the following is(are) true? I. x^2=-|x| II |x|=-x III x/-3 = -1
Answer Choices: (A) II, III only (B) II only (C) I,II only (D) I only (E) III only<|im_end|>
<|im_start|>assistant
<think>
</think>
I. x^2=-|x| -3^2 = - |-3| Not true
II |x|=-x |-3| =-( -3 ) true
III x/-3 = -1 Not true
... | 76,248 |
<|im_start|>user
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 30 percent alcohol?
Answer Choices: (A) 100/7 (B) 5 (C) 20/3 (D) 8 (E) 39/4<|im_end|>
<|im_start|>assistant
<think>
</think>
20% Alcohol solution means; in the ... | 62,002 |
<|im_start|>user
Which of the following numbers should not be included in the set?
331, 482, 551, 263, 384, 242, 111
Answer Choices: (A) 263 (B) 384 (C) 242 (D) 111 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
In each number except 384,the product of first and third digits is the middle... | 60,038 |
<|im_start|>user
Bradley owns x video game cartridges. If Bradley’s total is one-third the total owned by James and four times the total owned by Charles, how many video game cartridges do the three of them own altogether, in terms of x?
Answer Choices: (A) (16/3) x (B) (17/14) x (C) (13/4) x (D) (19/12) x (E) (17/4) x... | 73,693 |
<|im_start|>user
If a certain sample of data has a mean of 22.0 and the value 40.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Answer Choices: (A) 3.75 (B) 7.15 (C) 3.25 (D) 3.0 (E) 2.75<|im_end|>
<|im_start|>assistant
<think>
</think>
40.0 ... | 78,966 |
<|im_start|>user
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle?
Answer Choices: (A) 75 (B) 80 (C) 85 (D) 90 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
In a parallelogram opposite angles are equal and the angles a... | 25,870 |
<|im_start|>user
A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. working together, they can do it in
Answer Choices: (A) 20 days (B) 22 ½ days (C) 25 days (D) 30 days (E) 35 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
B = 3A
3A – A =60 days
A = 3... | 22,689 |
<|im_start|>user
Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 47 hours. If Harr... | 57,367 |
<|im_start|>user
What is the least value of x, So that 2x5478 is divisible by 9
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 5 + 4 + 7 + 8 = 26 + x
Least val... | 31,190 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 177 (B) 168 (C) 120 (D) 882 (E) 122<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the ... | 84,982 |
<|im_start|>user
The diagonal of a rhombus are 62 m and 80 m. Its area is:
Answer Choices: (A) 1940 (B) 2480 (C) 2460 (D) 2500 (E) 1980<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the rhombus = 1/2 d1d2 = ( 1/2 × 62 × 80) Cm(power)2
= 62 × 40 = 2480 Cm(power)2
The answer is B<|endoftext|> | 57,683 |
<|im_start|>user
A grocer has a sale of Rs. 1500, Rs. 1500, Rs. 2000, Rs. 2600 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 2000?
Answer Choices: (A) Rs. 4980 (B) Rs. 3400 (C) Rs. 4000 (D) Rs. 2400 (E) Rs. 5000<|im_end|>
<|im_start|>assistant
<think>
</... | 5,786 |
<|im_start|>user
What is the term for a state of matter that yields to sideways or shearing forces?
Answer choice: (A) gravity (B) fluid (C) solid (D) plasma<|im_end|>
<|im_start|>assistant
<think>
</think>
Section Summary 11.1 What Is a Fluid? • A fluid is a state of matter that yields to sideways or shearing forces... | 5,982 |
<|im_start|>user
A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 800. How many workers were part of the l... | 42,576 |
<|im_start|>user
If p/q = 2/7 , then 2p+q= ?
Answer Choices: (A) 11 (B) 14 (C) 13 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
let p=2, q=7 then 2*2+7=11
so 2p+q=11.
The answer is A<|endoftext|> | 40,795 |
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