text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
There are three positive intigers such that 70% of the first number , 58 1/3% of second number and 38 8/9% of the third number are all equal. Which of the following can those three numbers be?
Answer Choices: (A) 5,6,9 (B) 10,12,18 (C) 15,18,27 (D) All the three (E) none of these<|im_end|>
<|im_start|>... | 54,855 |
<|im_start|>user
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 0.5% more. She would get how much?
Answer Choices: (A) 9320 (B) 96288 (C) 26667 (D) 1662 (E) 2882<|im_end|>
<|im_start|>assistant
<think>
</think>
(8000*3*0.5)/100 = 120
9200
--------
9320
The a... | 40,816 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
Answer Choices: (A) 277 m (B) 704 m (C) 352 m (D) 288 m (E) 378 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Dist... | 95,654 |
<|im_start|>user
In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ?
An... | 40,689 |
<|im_start|>user
An error 8% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Answer Choices: (A) 6.64% (B) 16.64% (C) 15.64% (D) 26.64% (E) 10.64%<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentage error in calculated area
=(8+... | 18,797 |
<|im_start|>user
Marge has W candies, where W is an integer such that 20 < W< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 childr... | 58,378 |
<|im_start|>user
A coin is tossed 7 times. What is the probability of getting exactly 6 heads?
Answer Choices: (A) 7/32 (B) 3/64 (C) 5/64 (D) 3/128 (E) 7/128<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of possible outcomes is 2^7 = 128
There are 7 ways to get exactly 6 heads.
P(exactly 6 heads) = 7/12... | 82,330 |
<|im_start|>user
0, 5, 15, 30, 50, 75, 105, 140, ?
What number should replace the question mark?
Answer Choices: (A) 180 (B) 185 (C) 190 (D) 175 (E) 170<|im_end|>
<|im_start|>assistant
<think>
</think>
A 180
add 5,10,15,20,25.
The answer is A<|endoftext|> | 94,974 |
<|im_start|>user
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 60 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?... | 61,928 |
<|im_start|>user
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
f(x) + 3f(8 - x) =f(2) + 3f(6) = 2 : x = 2 above
f(6) + 3f(2) = 6 : x = 6 above
f(6) = 6 - 3f(2) : solve equa... | 6,522 |
<|im_start|>user
if At what time between 7 & 2 will the hands of a watch point in opposite directions?
Answer Choices: (A) 50 4/11 min past 4 (B) 50 4/11 min past 1 (C) 50 4/81 min past 7 (D) 50 4/81 min past 2 (E) 50 4/11 min past 6<|im_end|>
<|im_start|>assistant
<think>
</think>
At 4 o'clock, the hands of the watc... | 67,611 |
<|im_start|>user
1 men takes 37$ to Eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat. for 1 pizza 0% off. for 2 pizza % off for 3 pizza 8% off. pizza without discount is 10$. How much that man eats the pizza.
Answer Choices: (A... | 5,208 |
<|im_start|>user
If (A-B-C+D = 13) and (A+B-C-D = 5), what is the value of (B-D)^2?
Answer Choices: (A) 4. (B) 8. (C) 12. (D) 16 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
A-B-C+D = 13 -- equation 1
A+B-C-D = 5 -- equation 2
Adding 1 and 2 , we get
2A - 2C = 18
=> A-C = 9 -- equation 3
Using equation 3 i... | 64,240 |
<|im_start|>user
Historically, malaria has rivaled what as the leading cause of human death by infectious disease?
Answer choice: (A) heart attack (B) tuberculosis (C) hepatitis (D) cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
Alloys can be one of two general types. In one type, called a substitutional all... | 1,297 |
<|im_start|>user
10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Work done by 10 men in 1 day = 1/7
W... | 73,974 |
<|im_start|>user
Deceleration is the opposite of what?
Answer choice: (A) acceleration (B) stopping (C) stimulation (D) vibration<|im_end|>
<|im_start|>assistant
<think>
</think>
Discussion The minus sign indicates that acceleration is to the left. This sign is reasonable because the train initially has a positive ve... | 2,775 |
<|im_start|>user
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours?
Answer Choices: (A) 2.4. (B) 3.2. (C) 4.2. (D) 5.5. (E) 6.4<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2ΓR
Rate =... | 96,490 |
<|im_start|>user
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Answer Choices: (A) 18,000 degrees / second (B) 26,000 degrees / second (C) 32,000 degrees / second (D) 47,000 degrees / second (E) 55,000 degrees / second<|im_end|>
<|im_start|>assistant
<think>
</th... | 80,660 |
<|im_start|>user
A company bought for its 5 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Answer Choices: (A) 1 (B) 10 (C) 25 (D) 29 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
This prob... | 77,029 |
<|im_start|>user
In a basketball game, Dhoni scored 15 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 77 points, how many points did Dhoni score?
Answer Choices: (A) 23 (B) 33 (C) 25 (D) 28 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Dr... | 80,245 |
<|im_start|>user
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Answer Choices: (A) 1.6 (B) 1.3 (C) 1.4 (D) 1.5 (E) 1.1<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + ... | 6,561 |
<|im_start|>user
What is the area of an equilateral triangle whose one side length is 70?
Answer Choices: (A) 825β3 (B) 925β3 (C) 1025β3 (D) 1125β3 (E) 1225β3<|im_end|>
<|im_start|>assistant
<think>
</think>
-> The area of an equilateral triangle with one side length of a is β3a2/4. Thus, β3(70^2)/4=1225β3 and
The an... | 50,395 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the mile.
Time tells you how long the ... | 1,680 |
<|im_start|>user
If x/y = 5/3, then (x + y)/(x - y) = ?
Answer Choices: (A) 4 (B) 1/5 (C) -1/6 (D) -1/5 (E) -5<|im_end|>
<|im_start|>assistant
<think>
</think>
Any x and y satisfying x/y = 5/3 should give the same value for (x + y)/(x - y).
Say x=5 and y=3, then (x + y)/(x - y) = (5 + 3)/(5-3) = 4.
The answer is A<|e... | 43,737 |
<|im_start|>user
12.5 * 3.2 * 6.8 = ?
Answer Choices: (A) 352 (B) 272 (C) 224 (D) 646 (E) 742<|im_end|>
<|im_start|>assistant
<think>
</think>
B
272
? = 12.5 * 3.2 * 6.8 = 352
The answer is B<|endoftext|> | 29,153 |
<|im_start|>user
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Answer Choices: (A) 1: 96 (B) 1: 92 (C) 1: 93 (D) 1: 91 (E) 1: 97<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length a... | 3,660 |
<|im_start|>user
What is the term for a random change in allele frequencies that occurs in a small population?
Answer choice: (A) evolution (B) speciation (C) genetic drift (D) mutation<|im_end|>
<|im_start|>assistant
<think>
</think>
Genetic drift is a random change in allele frequencies that occurs in a small popul... | 400 |
<|im_start|>user
Mike, Jim and Bob are all professional fisherman. Mike can catch 18 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Answer Choices: (... | 75,811 |
<|im_start|>user
Find the value of x from the below equation? : 3x^2+5x+2 = 0
Answer Choices: (A) -1 (B) 1 (C) -2 (D) 2 (E) -3<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 3, b = 5, c = 2
x1,2 = (-5 Β± β(52 - 4Γ3Γ2)) / (2Γ3) = (-5 Β± β(25-24)) / 6 = (-5 Β± 1) / 6
x1 = (-5 + 1)/6 = -4/6 = -2/3
x2 = (-5 - 1)/6 = -... | 8,034 |
<|im_start|>user
To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
Answer Choices: (A) Rs. 10,000 (B) Rs. 10,800 (C) Rs. 14,400 (D) Rs. 16,000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
For an income of Rs. 12, stock needed = Rs. 100.
For ... | 80,779 |
<|im_start|>user
Lungs, pharynx, larynx, trachea, and bronchi are part of which system?
Answer choice: (A) nervous (B) digestive (C) respiratory (D) neural<|im_end|>
<|im_start|>assistant
<think>
</think>
The organs of the respiratory system include the lungs, pharynx, larynx, trachea, and bronchi.
The answer is C<|e... | 5,744 |
<|im_start|>user
The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let N be the no. of persons ... | 65,271 |
<|im_start|>user
A garrison of 2000 men has provisions for 54 days. At the end of 18 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Answer Choices: (A) 1977 (B) 1600 (C) 1979 (D) 1900 (E) 1278<|im_end|>
<|im_start|>assistant
<think>
</... | 15,640 |
<|im_start|>user
5,9,18,30,50,__
Answer Choices: (A) 79 (B) 80 (C) 81 (D) 82 (E) 83<|im_end|>
<|im_start|>assistant
<think>
</think>
(9+5) +4 = 18
(16+9) +5 = 30
(28+16)+6 = 50
(48+28)+7 = 83
The answer is E<|endoftext|> | 37,337 |
<|im_start|>user
How are protozoa that cause giardiasis spread?
Answer choice: (A) insects (B) food and water (C) starch and water (D) lakes and rivers<|im_end|>
<|im_start|>assistant
<think>
</think>
Protozoa that cause giardiasis are spread by contaminated food or water. They live inside the intestine. They may cau... | 10,160 |
<|im_start|>user
Find the average of first 30 natural numbers.
Answer Choices: (A) 12 (B) 15.5 (C) 14.5 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of first n natural numbers = n(n+1)/2
Hence, sum of first 30 natural numbers = (30 x 31)/2 = 465
Therefore, required average of = 465/... | 17,977 |
<|im_start|>user
Of the mutual funds on a βselect list,β 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 400 funds on the list have 3-star ratings, how many funds are on the list?
Answer Choices: (A) 500 (B) 750 (C) 1,000 (D) 1,200 (E) 1,500<|im_end|>
<|im_start|>assistant
... | 29,982 |
<|im_start|>user
Hardy and Robert start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Robert. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exac... | 59,763 |
<|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 5.2 hours, then the distance covered at 40 kmph is
Answer Choices: (A) 130 km (B) 120km (C) 100km (D) 124km (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 33,986 |
<|im_start|>user
A mail handler needs 3 hours to sort the mail. His assistant takes 6 hours to sort the mail. How many hours will it take for both of them working together to sort the mail?
Answer Choices: (A) 3 (B) 2 (C) 1 (D) 2 1/2 (E) 1 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Work hrs=AB/(A+B)= 18/9 =... | 41,986 |
<|im_start|>user
At a summer camp with 900 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 900 campers will the 8- to 12-year-olds represent?
Answer Choices: (A) 64% (B) 66 2/3% (C) 62% (D) 60% (E) 56%... | 10,256 |
<|im_start|>user
Three hundred multiples of seven are chosen at random, and 700 multiples of eight are chosen at random. Approximately what percentage of the 1000 selected numbers are odd?
Answer Choices: (A) 15% (B) 25% (C) 35% (D) 50% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
About half the multiples... | 25,841 |
<|im_start|>user
A contest will contain n questions each of which is to be answered either 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 then 1/1000 then a person who randomly guesses the answer to each q's will be a winner?
A... | 94,590 |
<|im_start|>user
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Answer Choices: (A) 5 (B) 3 (C) 15 (D) 17 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's digit be x and unit's digit be y.
Then, x + y =... | 86,561 |
<|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... | 51 |
<|im_start|>user
If s and t are positive integers such that s/t = 64.16, which of the following could be the remainder when s is divided by t?
Answer Choices: (A) 15 (B) 18 (C) 24 (D) 30 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
0.16 = 4/25
The remainder must be divisible by 4.
The answer is C<|endoftex... | 62,797 |
<|im_start|>user
The greatest possible length which can be used to measure exactly the length 6m ,2m 85cm, 4m 95 cm is?
Answer Choices: (A) 25cm (B) 101cm (C) 56cm (D) 42cm (E) 15cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Required length = H.C.F of 600cm, 285cm, 495cm = 15cm
The answer is E<|endoftext|> | 91,185 |
<|im_start|>user
A garrison of 500 men has provisions for 20 days. At the end of 14 days, a reinforcement arrives, and it is now found that the provisions will last only for 3 days more. What is the reinforcement?
Answer Choices: (A) 500 (B) 1000 (C) 1500 (D) 3000 (E) 2000<|im_end|>
<|im_start|>assistant
<think>
</thi... | 33,153 |
<|im_start|>user
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Answer Choices: (A) 6 days (B) 8 days (C) 8 Β½ days (D) 7 Β½ days (E) 9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4/10 + 9/x =... | 32,455 |
<|im_start|>user
If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent?
Answer Choices: (A) 5.9 % increase (B) 5.6 % increase (C) 4.6 % increase (D) 1.6 % increase (E) 5.7 % increase<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatio... | 7,294 |
<|im_start|>user
In how many different ways can three letters be posted from seven different postboxes assuming no two letters can be posted from the same postbox?
Answer Choices: (A) 110 (B) 210 (C) 310 (D) 410 (E) 510<|im_end|>
<|im_start|>assistant
<think>
</think>
First letter could be sent from ANY of the seven ... | 96,201 |
<|im_start|>user
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Answer Choices: (A) 10,529 (B) 10,512 (C) 10,110 (D) 10,500 (E) 10,511<|im_end|>
<|im_s... | 13,005 |
<|im_start|>user
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
Answer Choices: (A) ... | 8,733 |
<|im_start|>user
If x, y, and z are positive integers, and 2x = 5y = 6z, then the least possible value of x + y + z is
Answer Choices: (A) 15 (B) 26 (C) 37 (D) 42 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Take LCM of 2,5 and 6 = 30
Now 2x = 30 => x =15
5y = 30 => y = 6
6z = 30 => z =5
15+6+5 = 26.
Optio... | 14,925 |
<|im_start|>user
What occurs over a large area when a rock is buried or compressed?
Answer choice: (A) metamorphic diffusion (B) regional metamorphism (C) cavern system (D) landslide<|im_end|>
<|im_start|>assistant
<think>
</think>
Regional metamorphism occurs over a large area when a rock is buried or compressed.
Th... | 2,228 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Scientists sort animals with similar traits into groups. This is called classification. Classification helps scientists learn about how animals live.
How do scientists classify animals? First, they make observations about an... | 3,446 |
<|im_start|>user
In a function they are distributing noble prize. In how many ways can 4 prizes be distributed among 5 boys when a boy gets any no. of prizes?
Answer Choices: (A) 48 (B) 50 (C) 625 (D) 602 (E) 525<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans.(C)
Sol. In this case, repetitions are allowed, so a... | 72,150 |
<|im_start|>user
Peter rolls three dice at the same time. What is the probability that all the dices will show the same number?
Answer Choices: (A) a) 1/12 (B) b) 1/36 (C) c) 1/6 (D) d) 1/36 (E) e) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
We can have 6 different outcomes on a dice.
Total outcomes on ... | 60,015 |
<|im_start|>user
How many prime numbers between 1 and 100 are factors of 10010?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
factor of 10010= 2*5*7*11*13 --- 5 prime numbers
A
The answer is A<|endoftext|> | 10,441 |
<|im_start|>user
If c is a positive integer, which of the following could NOT be the square of c?
Answer Choices: (A) 5,008,644 (B) 5,004,169 (C) 4,999,696 (D) 4,995,225 (E) 4,990,752<|im_end|>
<|im_start|>assistant
<think>
</think>
A number ending with 2 can never be a perfect square.
Units digit of a perfect s... | 21,194 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 4,058 |
<|im_start|>user
Jerryβs average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
Answer Choices: (A) 87 (B) 89 (C) 90 (D) 93 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score on 3 tests = 85*3 = 255... | 58,830 |
<|im_start|>user
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 25 days starting with sunday is
Answer Choices: (A) 342 (B) 285 (C) 290 (D) 295 (E) 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
As the month begin with sunday, ... | 679 |
<|im_start|>user
A box contains nine slips that are each labeled with one number: 1, 3, 5, 8, 13, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Answer Choices: (A)... | 55,348 |
<|im_start|>user
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 7 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tan... | 11,353 |
<|im_start|>user
If 3y + 7 = x^2 + P = 7x + 5, what is the value of P ?
Answer Choices: (A) 8(1/4) (B) 8(1/2) (C) 8(1/3) (D) 8(1/5) (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3x + 7 = 7x + 5 => 7x - 3x = 2 => 4x = 2 => x = 1/2.
Now, 3x + 7 = x^2 + p => 3/2 + 7 = 1/4 + p => p =... | 17,459 |
<|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. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 3,891 |
<|im_start|>user
find out the wrong number in the given sequence of numbers
15,16,34,105,424,2124,12756
Answer Choices: (A) 105 (B) 424 (C) 2124 (D) 15 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
15*1+1=16
16*2+2=34
34*3+3=105
105*4+4=424
424*5+5=2125
2125*6+6=12756
wrong number is 2124
The answer is C<|e... | 86,136 |
<|im_start|>user
What sudden ground movement is caused by the sudden release of the energy stored in rocks, which is transmitted in seismic waves?
Answer choice: (A) eruption (B) earthquake (C) sandstorm (D) quicksand<|im_end|>
<|im_start|>assistant
<think>
</think>
An earthquake is sudden ground movement. This movem... | 6,113 |
<|im_start|>user
If there are 80 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, 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... | 9,772 |
<|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 through families. Children gain these traits from their paren... | 4,210 |
<|im_start|>user
The average of first 32 natural numbers is?
Answer Choices: (A) 16.5 (B) 17.5 (C) 18.4 (D) 15.4 (E) 15.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 32 natural no. = 1056/2 = 55
Average = 528/32 = 16.5
The answer is A<|endoftext|> | 88,087 |
<|im_start|>user
The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).... | 93,775 |
<|im_start|>user
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
Answer Choices: (A) 2 1/2 % (B) 4% (C) 5% (D) 6 2/3 % (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40 Rate = (100 * 40)/(80... | 44,716 |
<|im_start|>user
Set C is composed of nine numbers, labeled C1 through C9. Set D is also composed of nine numbers, labeled D1 through D9. Set D is defined as follows: D1 = 1 + C1; D2 = 2 + C2; and so on, including D9 = 9 +C9. How much larger is the sum of set D's mean and range than the sum of set C's mean and range?
A... | 26,364 |
<|im_start|>user
How many solution does the expression x+3βββββ=xx+3βββββx+3=xx+3 has?
Answer Choices: (A) 23 (B) 27 (C) 260 (D) 175 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
Squaring on the both sides, x+3=x2(x+3)x+3=x2(x+3)
Bring x+3 to one side and take common, (x2β1)(x+3)(x2β1)(x+3)
So roots are, 1... | 15,549 |
<|im_start|>user
A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 24 pounds per fruit, how many more pounds of apples than grapes does the mixture hav... | 33,925 |
<|im_start|>user
If x is a positive integer, then the least value of x for which x! is divisible by 1,000,0000 is?
Can someone please explain intuitively what the question is asking?
Answer Choices: (A) 5 (B) 9 (C) 25 (D) 15 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
In order x! to be divisible by 1,000,... | 41,410 |
<|im_start|>user
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly once in 3 consecutive flips ?
Answer Choices: (A) 0.125 (B) 0.375 (C) 0.325 (D) 0.5 (E) 0.666<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 16,140 |
<|im_start|>user
Jill, who lives in City C, plans to visit 7 different cities, M, L, P, I, Y, B and S. She plans to visit each city exactly once and return to City C after the 7 visits. She can visit the cities in any order. In how many different orders can she visit the 7 cities?
Answer Choices: (A) 3000 (B) 5040 (C... | 89,065 |
<|im_start|>user
In a garden, there are 10 rows and 14 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Answer Choices: (A) 20 m (B) 22 m (C) 24 m (D) 26 m (E) 28 m<|im_end|>
<|im_start|>a... | 66,061 |
<|im_start|>user
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Answer Choices: (A) Rs. 13, Rs. 19 (B) Rs. 13, Rs. 17 (C) Rs. 13, Rs. 12 (D) Rs. 13, Rs. 11 (E)... | 12,101 |
<|im_start|>user
Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 3.5 hours to drive back from City Π to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 60 miles per hour. What is the distance between city A and city B?
An... | 77,580 |
<|im_start|>user
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Answer Choices: (A) 15 (B) 30 (C) 36 (D) 45 (E) 54<|im_end|>
<|im_s... | 77,393 |
<|im_start|>user
In a class of students, 2/3 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class?
Answer Choices: (A) 1/3 (B) 2/3 (C) 4/3 (D) 5/3 (E) 7/3<|im_end|>
<|im_start|>assistant
<think>
</think>
(2/3)G=(1/5)(B+G)
10G=3B+3G
7G=3B
B/G=7/3.
The ... | 93,252 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 3,444 |
<|im_start|>user
Choose the missing terms out of the given alternatives.
AZ, BY, CX, DW, EV, FU, GT?
Answer Choices: (A) HS (B) GH (C) ED (D) DW (E) KN<|im_end|>
<|im_start|>assistant
<think>
</think>
A
HS
The first letter moves one step forward. The second letter moves one step backward.
The answer is A<|endoftext|> | 7,858 |
<|im_start|>user
here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Answer Choices: (A) 1800 (B) 2130 (C) 2231 (D) 4510 (E) 3560<|im_end|>
<|im_start|>assistant
<think>
</think>
5 subjects can be arranged in 6 periods... | 63,124 |
<|im_start|>user
What are the cells or structures that detect sensations?
Answer choice: (A) hormones (B) membranes (C) proteins (D) receptors<|im_end|>
<|im_start|>assistant
<think>
</think>
14.1 | Sensory Perception By the end of this section, you will be able to: β’ Describe different types of sensory receptors β’ D... | 7,766 |
<|im_start|>user
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Answer Choices: (A) 9 (B) 9.2 (C) 10 (D) 11.5 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = ... | 91,983 |
<|im_start|>user
total 100 members are writing exam. In the 48 members are writing first exam. 45 members are writing second exam. 38 members are writing third exam. 5 members are writing all the three exams.How many members are writing 2 exams?
Answer Choices: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24<|im_end|>
<|im_start|>a... | 47,022 |
<|im_start|>user
A 50 ml after-shave lotion at 30% alcohol is mixed with 30 ml of pure water. What is the percentage of alcohol in the new solution?
Answer Choices: (A) 16.75% (B) 17.75% (C) 18.75% (D) 19.75% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
The amount of the final mixture is given b... | 52,679 |
<|im_start|>user
A two digit number, digits interchange places and the new number is added to the original number, then the resulting number will be divisible by?
Answer Choices: (A) 10 (B) 11 (C) 13 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's digit be x and unit's digit be y.
Then, n... | 23,155 |
<|im_start|>user
When a train moves at an average speed of 100 kmph it reaches its destination on time. When its average speed becomes 80 kmph, then it reaches its destination 20 minutes late. Find the length of journey rounded to two decimal places.
Answer Choices: (A) 99.33 km (B) 133.33 km (C) 125.33 km (D) 156.66 k... | 56,813 |
<|im_start|>user
List R contains five numbers that have an average value of 65. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Answer Choices: (A) 25 (B) 31 (C) 35 (D) 39 (E) 43... | 19,169 |
<|im_start|>user
In how many different ways can 4 physics, 2 math and 3 chemistry books be arranged in a row so that all books of the same branch are together?
Answer Choices: (A) 1242 (B) 1728 (C) 1484 (D) 1734 (E) 1726<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:
= 3! * 4! * 2! * 3!
= 1728
The answer is B... | 72,515 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Answer Choices: (A) 33 (B) 40 (C) 38 (D) 27 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the present age... | 44,454 |
<|im_start|>user
Tough and Tricky questions: Exponents.
If 7^(3x-1)*3^(4y-3) = 49^x*27^y, then x + y =
Answer Choices: (A) 3 (B) 4 (C) 2 (D) 1 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Here is my solution.
7^(3x-1)*3^(4y-3) = 49^x*27^y
Here RHS 49^x*27^y= 7^(2x)*3^(3y)
Equating powers on both sides-->
3x... | 13,277 |
<|im_start|>user
Simplify the following equation
[(p - q)2 - (p + q)2] / 4p = b/a
Answer Choices: (A) a b = q (B) q b = a (C) a q = b (D) a q = -b (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
[(p - q)2 - (p + q)2] / 4p = b/a
=> [p2 + q2 - 2pq - (p2 + q2 + 2pq)] / 4p = b/a
=> - 4pq/4p = b/a
=> q ... | 24,900 |
<|im_start|>user
12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
Answer Choices: (A) 150 (B) 152 (C) 154 (D) 158 (E) 144<|im_end|>
<|im_start|>assistant
<think>
</think>
D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
The answer is D<|endoftext|> | 51,189 |
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