text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.
Answer Choices: (A) 64 (B) ... | 63,924 |
<|im_start|>user
M = {-6, -5, -4, -3, -2, -1}
T = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Answer Choices: (A) 0 (B) 1/3 (C) 2/5 ... | 4,615 |
<|im_start|>user
P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?
Answer Choices: (A) Rs. 8400 (B) Rs. 10,500 (C) Rs. 13,600 (D) Rs. 14,700 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</... | 60,408 |
<|im_start|>user
The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
Answer Choices: (A) 10 (B) 12 (C) 16 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) +... | 97,346 |
<|im_start|>user
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $58000 and Ingrid makes $72000, what is their combined tax rate?
Answer Choices: (A) 32% (B) 34.4% (C) 35% (D) 35.6% (E) 37.4%<|im_end|>
<|im_start|>assistant
<think>
</think>
(1) When 30 and 40 has equal weight or weight = 1/2... | 39,821 |
<|im_start|>user
X completes a work in 60 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
Answer Choices: (A) 30 days. (B) 50 days. (C) 25 days. (D) 10 days. (E) 20 days.<|im_end|>
<|im_start|>assistant
<think>
</think>
If X c... | 93,282 |
<|im_start|>user
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance double... | 78,395 |
<|im_start|>user
P can do a work in 48 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by P in 1... | 79,010 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 200 |
<|im_start|>user
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Answer Choices: (A) 29893 (B) 27773 (C) 29989 (D) 28800 (E) 29883<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 288... | 57,217 |
<|im_start|>user
Tough and Tricky questions: Combinations.
eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be a... | 3,298 |
<|im_start|>user
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 9 years hence?
Answer Choices: (A) 22 (B) 77 (C) 78 (D) 98 (E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
A + B = 60, A = 2B
2B + B = 60 => B = 20 then A = 40.
9 years, th... | 8,051 |
<|im_start|>user
The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1926 in revenue from the sales. How many orchestra tickets did they sell?
Answer Choices: (A) 35 (B) 39 (C) 43 (D) 47 (E) 51<|im_end|>
<|im_start|>assistant... | 67,793 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 1,309 |
<|im_start|>user
Two cars are traveling towards each other. If car A is traveling at a speed of 60 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Answer Choices: (A) Six hours and 30 minutes. (B) Seven hours and 30 minutes. (C) Ei... | 65,823 |
<|im_start|>user
What types of bonds hold together positive metal ions and their valence electrons?
Answer choice: (A) ionic bonds (B) covalent bonds (C) toxic bonds (D) metallic bonds<|im_end|>
<|im_start|>assistant
<think>
</think>
Metallic bonds are the force of attraction between positive metal ions and the vale... | 6,817 |
<|im_start|>user
When 1/10 percent of 4,000 is subtracted from 1/10 of 4,000, the difference is
Answer Choices: (A) 0 (B) 50 (C) 396 (D) 495 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
We can break this problem into two parts:
1) What is 1/10 percent of 4,000?
2) What is 1/10 of 4,000?
To calculate ... | 46,603 |
<|im_start|>user
In a college, 70% of total 100 Arts students are Locals. 50% of students from 200 Science students are locals and 85% of total 120 Commerce students are locals. What is the total percentage of locals from Arts, Science and Commerce.
Answer Choices: (A) 56 (B) 86.7 (C) 25.7 (D) 66 (E) 64.7<|im_end|>
<|i... | 73,664 |
<|im_start|>user
How many Kg of rice at Rs.6.60 per Kg. be mixed with 56Kg of rice at Rs.9.60 per Kg to get a mixture
worth Rs.8.20 per Kg
Answer Choices: (A) 56 Kg (B) 52 Kg (C) 44 Kg (D) 49 Kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
By the rule of alligation, we have
Cost of... | 1,445 |
<|im_start|>user
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the to... | 67,039 |
<|im_start|>user
Before 7 years, dog A’s age was 4 times of dog B’s age and after 4 years, dog A’s age will be 3 times of dog B’s age. What is the difference of dog A’s age and dog B’s now?
Answer Choices: (A) 36 (B) 42 (C) 54 (D) 60 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
A - 7 = 4(B - 7) --> A - 4B ... | 21,631 |
<|im_start|>user
Find the cost of fencing around a circular field of diameter 34 m at the rate of Rs.2 a meter?
Answer Choices: (A) 215 (B) 212 (C) 278 (D) 279 (E) 222<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 17 = 106
106 * 2
= Rs.212
The answer is B<|endoftext|> | 95,002 |
<|im_start|>user
A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $70 and the variable costs are $30 per widget. How many widgets need to be produced for profits of $5440 a day?
Answer Choices: (A) 42.33 (B) 90.33 (C) 168 (D) 224 (E) 311<|im_end|>
<|im_start|>as... | 69,120 |
<|im_start|>user
In measuring the sides of a rectangle, one side is taken 16% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Answer Choices: (A) 3.5% (B) 2.4% (C) 10.2% (D) 5% (E) 2.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
Say both sides of the ... | 79,061 |
<|im_start|>user
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?
Answer Choices: (A) 31500 (B) 27773 (C) 29989 (D) 28800 (E) 29883<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple interest = (18000 * 5 * 15)/100 = Rs. 13500
Amount = P + I = 18000 + 13500 = Rs. 315... | 5,213 |
<|im_start|>user
Find the compound ratio of (2:3), (6:11) and (11:4) is
Answer Choices: (A) 3:2 (B) 2:1 (C) 1:1 (D) 4:5 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
Required ratio = 2/3 * 6/11 * 11/4 = 2/1 = 1:1
The answer is C<|endoftext|> | 45,771 |
<|im_start|>user
If the city centers of Tokyo and Paris are 6035 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
Answer Choices: (A) 1.2 × 10^7 (B) 1.8 × 10^7 (C) 3.8 × 10^8 (D) 3.8 × 10^9 (E) 3.8 × 10^10<|im_end|>
<|im_start|>assistan... | 87,943 |
<|im_start|>user
Which cells change the accessibility, transcription, or translation of a gene?
Answer choice: (A) endogenous (B) eukaryotic (C) prokaryotic (D) ribosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
that extends the 3' end, so a primer is synthesized and extended. Thus, the ends are protected. 16... | 3,942 |
<|im_start|>user
what is the angle between the hands of a clock when time is 16:40?
Answer Choices: (A) 625deg (B) 420deg (C) 145deg (D) 150deg (E) 300deg<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle between two hands =
40h - 11/2 m = 40*16 - 40*11/2 = 640 - 220 = 420deg
The answer is B<|endoftext|> | 79,380 |
<|im_start|>user
Which of the following is closer to (24!+23!)/(24!-23!)?
Answer Choices: (A) 49 (B) 36 (C) 25 (D) 1 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice that 24! = (24)(23!), so we can factor out 23! from top and bottom.
(24!+23!)/(24!-23!)=[23!(24+1)]/[23!(24-1)]
= (24+1)/(23-1)
= 25/23
≈ ... | 60,304 |
<|im_start|>user
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case
Answer Choices: (A) 4 (B) 7 (C) 9 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and... | 96,092 |
<|im_start|>user
Find the missing figures : ?% of 25 = 20125
Answer Choices: (A) 4.5 (B) 6.5 (C) 2.5 (D) 7.5 (E) 8.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x% of 25 = 2.125. Then , (x/100)*25 = 2.125
X = (2.125 * 4) = 8.5.
The answer is E<|endoftext|> | 53,502 |
<|im_start|>user
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Answer Choices: (A) 3729 (B) 2799 (C) 3720 (D) 2884 (E) 2881<|im_end|>
<|im_start|>assistant
<think>
</think>
A = P(1 + TR/100)
=> 3600 = 3000[1 + (4 * R)/1... | 23,312 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 5,429 |
<|im_start|>user
8, 24, 12, 36, 18, 54, (....)
Answer Choices: (A) 72 (B) 68 (C) 108 (D) 27 (E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
8 × 3 = 24
24 ÷ 2 = 12
12 × 3 = 36
36 ÷ 2 = 18
18 × 3 = 54
54 ÷ 2 = 27
The answer is D<|endoftext|> | 2,227 |
<|im_start|>user
According to which process, sublevels and orbitals are filled with electrons in order of increasing energy?
Answer choice: (A) aufbau (B) Schrodinger's cat (C) hausen (D) particle dynamics<|im_end|>
<|im_start|>assistant
<think>
</think>
According to the Aufbau process, sublevels and orbitals are fil... | 7,930 |
<|im_start|>user
There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Answer Choices: (A) 1 year (B) 1 years 2 months (C) 3 years 8 months (D) 4 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Total decrease = ... | 67,237 |
<|im_start|>user
Louie takes out a three-month loan of $4000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Answer Choices: (A) A) 333 (B) B)... | 24,327 |
<|im_start|>user
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Answer Choices: (A) 2 hours (B) 1 hours (C) 7 hours (D) 4 hours (E) 3 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = (13... | 82,198 |
<|im_start|>user
In traveling from a dormitory to a certain city, a student went 1/4 of the way by foot, 1/2 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Answer Choices: (A) 10 (B) 45 (C) 30 (D) 20 (E) 40<|im_end|>
<|im_start|>assistant
... | 7,552 |
<|im_start|>user
Rs. 1100 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Answer Choices: (A) 300 (B) 992 (C) 400 (D) 552 (E) 312<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2:1/4:1/6 = 6:3:2
2/11*1100 = 200
600-200 = 400
The answer is C<|endoftext|> | 10,502 |
<|im_start|>user
A company has 65 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Nine employees have done just two courses and only one made the three courses. How many employees have no training?
Answer Choices: (A) A) 0 (B) B) 9 (C) C) 10 (D) D) 11 (E) E) 25<|im_end|>
<|im_s... | 55,940 |
<|im_start|>user
Gravitational force on a large scale dominates interactions between large objects because it is always what?
Answer choice: (A) ugly (B) vulnerable (C) suitable (D) attractive<|im_end|>
<|im_start|>assistant
<think>
</think>
As the example implies, gravitational force is completely negligible on a sm... | 2,657 |
<|im_start|>user
What is the smallest positive integer x such that 108x is the cube of a positive integer?
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 10 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Given 108x is a perfect cube
so we will take 216 = 6*6*6
108x = 216
x = 216/108 = 2
correct option is A
The answer ... | 73,420 |
<|im_start|>user
How many 7 in between 1 to 130?
Answer Choices: (A) 18 (B) 20 (C) 22 (D) 23 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
7,17,27,37,47,57,67,
70,71,72,73,74,75,76,77(two 7's),78,79,87,97,107,117,127
23 7's between 1 to 130
The answer is D<|endoftext|> | 85,257 |
<|im_start|>user
Evaluate the sum
1-2 +3-4 + 5-6 +... + 997-998 + 999-1000
Answer Choices: (A) -500 (B) -1000 (C) -999 (D) -1001 (E) 500500<|im_end|>
<|im_start|>assistant
<think>
</think>
One groups the first two terms and each successive two terms to obtain a sum of
500 expressions each of which is -1. The answer i... | 9,169 |
<|im_start|>user
At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the women are married?
Answer Choices: (A) 5⁄7 (B) 7⁄10 (C) 1⁄3 (D) 7⁄30 (E) 5⁄6<|im_end|>
<|im_start|>assistant
<think>
</think>
2X2 table works pe... | 57,747 |
<|im_start|>user
mr. depak has $459,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options:
Answer Choices: (A) $0 (B) $2 (C) $3 (D) $4 (E) $6<|im_end|>
<|im_start|>assistant
<thin... | 11,462 |
<|im_start|>user
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Answer Choices: (A) 2 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = ... | 6,224 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rocks are made of minerals. Here are some properties of rocks:
They are solid.
They are formed in nature.
They are not made by living things.
They are not pure substances.
Question:
Select the one substance that is not a ro... | 2,309 |
<|im_start|>user
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 15 more transactions than Cal. How much transactions did Jade handled?
Answer Choices: (A) 80 (B) 81 (C) 82 (D) 83 (E) 84<|im_end|>
... | 25,034 |
<|im_start|>user
If a boat goes 5 km upstream in 50 minutes and the speed of the stream is 3 kmph, then the speed of
the boat in still water is
Answer Choices: (A) 9 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Rate upstream = (5/50)*60 kmh =... | 22,660 |
<|im_start|>user
Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 10 km/hr and 15 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer Choices: (A) 28 sec (B) 19.2 sec (C) 17 sec (D) 23 sec... | 95,746 |
<|im_start|>user
A Katiland's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Katiland's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Katiland's to travel 85... | 3,629 |
<|im_start|>user
What is the greatest of 3 consecutive integers whose sum is 36?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
36 / 3 = 12
The three numbers are 11, 12, and 13.
The answer is B<|endoftext|> | 72,738 |
<|im_start|>user
In how many ways can nine different rings be worn on four fingers of one hand?
Answer Choices: (A) 10 (B) 129 (C) 135 (D) 126 (E) 182<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of ways = ways of selecting 4 objects out of 9 given objects
= 9C4 = 9*8*7*6/24= 126
The answer is D<|... | 43,585 |
<|im_start|>user
A rectangular cube has sides measuring 15 inches long by 12 inches wide by 2 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number.
Answer Choices: (A) 7 (B) 5 (C) 9 (D) 6 (E) 4<|im_end|>
<|im_start|>assis... | 91,136 |
<|im_start|>user
If x and y are integers and xy = 330, x or y must be divisible by which of the following?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 20 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
xy = 330 = 2 * 3 * 5 * 11
One of x or y must be divisible by 5.
The answer is B<|endoftext|> | 8,915 |
<|im_start|>user
How many of the positive divisors D of 120 are also multiples of 4 not including 120?
Answer Choices: (A) 3. (B) 4. (C) 5. (D) 7. (E) 8.<|im_end|>
<|im_start|>assistant
<think>
</think>
4,8,12,20,24,40,60. (7) is the answer
Other way : factors of 120 = 2^3 * 3*5
Separate 2^2 ( which means 4)
Now, cal... | 70,215 |
<|im_start|>user
In a certain parking lot, 2% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
Answer Choices: (A) 4% (B) 6% (C) 8% (D) 10% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</th... | 32,843 |
<|im_start|>user
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Answer Choices: (A) 6:5 (B) 5:3 (C) 8:6 (D) 7:6 (E) 9:8<|im_end|>
<|im_start|>assistant
<think>
</think>
4:5
3:2
-----... | 42,811 |
<|im_start|>user
The greatest number that divides 180, 565 and 705 leaving remainder 5, 5 and 5 respectively is:
Answer Choices: (A) 31 (B) 33 (C) 35 (D) 38 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
explanation:
180-5=175 , 565-5=560 and 705-5= 700
Highest number that divides 175, 560 and 700 is HCF of ... | 70,360 |
<|im_start|>user
A painting at an art gallery is framed such that the area of the square frame is 1/2 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 6, what is the area of the painting inside the frame?
Answer Choices: (A) 12 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<... | 65,274 |
<|im_start|>user
If a 3 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Answer Choices: (A) 40% (B) 100% (C) 150% (D) 200% (E) 300%<|im_end|>
<|im_start|>assistant
<think>
</think>
The area A of the large cube is 3*3*6 = 54 square cm.
The area of the 27... | 50,722 |
<|im_start|>user
A committee of two people is to be chosen from three married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Answer Choices: (A) 4 (B) 8 (C) 12 (D) 16 (E) 32<|im_end|>
<|im_start|>assistant
<think>
<... | 28,074 |
<|im_start|>user
At what time between 2 and 3 o'clock will the hands of a clock be together?
Answer Choices: (A) 120/11 min. past 3 (B) 120/11 min. past 2 (C) 120/11 min. past 1 (D) 120/11 min. past 5 (E) 120/11 min. past 4<|im_end|>
<|im_start|>assistant
<think>
</think>
At 2 o'clock, the hour hand is at 2 and the m... | 68,681 |
<|im_start|>user
Dylan is on a road trip. He planned on arriving at his destination, 2150 miles away, in 6 days. In the first day, he traveled 310 miles. In the next three days, he travels 1140 miles. How many miles, on average, does Dylan need to travel in the next two days to reach his destination?
Answer Choices: (A... | 18,447 |
<|im_start|>user
How much time will take for an amount of Rs. 400 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Answer Choices: (A) 4 1/2 years (B) 6 1/2years (C) 7 1/2years (D) 12 1/2years (E) 15 1/2years<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = (100 * 81) / (400 * 4.5) = 4 1/2year... | 43,880 |
<|im_start|>user
Three pipes A,B and C are attached to a tank.A and B can fill it in 20 and 30 minutes respectively while C can empty it in 15 minutes.If A,B and C are kept open successively for 1 minute each, how soon will the tank be filled?
Answer Choices: (A) 165 min (B) 166 min (C) 167 min (D) 168 min (E) 169 min<... | 78,115 |
<|im_start|>user
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think... | 54,221 |
<|im_start|>user
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
Answer Choices: (A) 4.5 (B) 4.6 (C) 4.7 (D) 4.8 (E) 4.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the remaining two number... | 55,788 |
<|im_start|>user
Avg cost of 2 cakes and 3 cookies is Rs.30.The avg cost of 5 cakes and 7 cookies is Rs.72. Find the total cost of 30 cakes and 30 cookies?
Answer Choices: (A) 190 (B) 160 (C) 130 (D) 200 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
Avg cost of 2 cakes and 3 cookies is Rs. 30
(2 cake + 3 c... | 7,945 |
<|im_start|>user
In a mayoral election, Candidate X received 1/2 more votes than candidate Y, and Candidate Y received 2/5 fewer votes than Z. If Z received 25,000 votes how many votes did candidate X received?
Answer Choices: (A) 18000 (B) 22500 (C) 24000 (D) 26000 (E) 32000<|im_end|>
<|im_start|>assistant
<think>
</... | 29,274 |
<|im_start|>user
Cara and Dan will throw three dice each. The score is the sum of points on all three dice. If Cara scores 16 in her attempt, what is the probability that Dan will outscore Cara in his attempt?
Answer Choices: (A) 1/36 (B) 1/54 (C) 5/54 (D) 1/216 (E) 5/216<|im_end|>
<|im_start|>assistant
<think>
</thin... | 61,224 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Answer Choices: (A) 11% (B) 25% (C) 87% (D) 19% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
800 --- 200
100 --- ? => 25%
The answer is B<|endoftext|> | 17,730 |
<|im_start|>user
Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540... | 60,562 |
<|im_start|>user
The population of a town increased from 50,000 to 80,000 in a decade. The average percent increase of population per year is :
Answer Choices: (A) 4.37% (B) 5% (C) 6% (D) 8.75% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Increase in 10 year= (80000 - 50000) = 30000.
In... | 59,251 |
<|im_start|>user
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Answer Choices: (A) 76 (B) 55 (C) 14 (D) 33 (E) 99<|im_end|>
<|im_start|>assistant
<think>
<... | 96,117 |
<|im_start|>user
If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?
Answer Choices: (A) 3 (B) 2 (C) 5 (D) 6 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</t... | 83,279 |
<|im_start|>user
Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?
Answer Choices: (A) Rs 2000 (B) Rs 2040 (C) Rs 2240 (D) Rs 2400 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think... | 3,953 |
<|im_start|>user
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Answer Choices: (A) 9/11 (B) 5/6 (C) 7/20 (D) 11/20 (E) 9/20<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, S = {1, 2, 3, 4, ..... | 82,382 |
<|im_start|>user
If the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is?
Answer Choices: (A) 26 (B) 28 (C) 17 (D) 12 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 14 * x = 2288 => x = 26
The answer is A<|endoftext|> | 28,114 |
<|im_start|>user
The average age of 6 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Answer Choices: (A) 10years (B) 15years (C) 20years (D) 25years (E) 30years<|im_end|>
<|im_start|>assistant
<think>
</think>
Total age of 6 boys = 25*6 = 150
ratio of their ages = 3:5:7
A... | 72,822 |
<|im_start|>user
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 2/5 respectively. Find the probability of success of at least two.
Answer Choices: (A) 1/4 (B) 2/5 (C) 3/4 (D) 3/5 (E) 4/5<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability of success... | 60,303 |
<|im_start|>user
Village X has a population of 68000, Which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages be equal ?
Answer Choices: (A) 7 years (B) 6 years (C) 9 years (D) 13 ye... | 86,733 |
<|im_start|>user
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function d(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The d(n) could have any of the following units digits except…?
Answer ... | 54,267 |
<|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... | 4,830 |
<|im_start|>user
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Answer Choices: (A) 4208 (B) 42... | 61,616 |
<|im_start|>user
Train C and D, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train C left at 4 pm traveling at a speed of 60 miles per hour, and train D left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Answer Choices: (... | 75,821 |
<|im_start|>user
If x^2 + y^2 = 20 and xy = 3, then (x − y)^2 =
Answer Choices: (A) 8 (B) 11 (C) 14 (D) 17 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
but you cannot take xy+ 3 to mean xy=-3..
only if xy+3=0, it will mean xy=-3..
rest your solution is perfect and you will get your correct answer as 20-2*3... | 92,960 |
<|im_start|>user
A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(11 – p) dollars. For which of the following values of p does the company make a profit?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
to make profit, selling... | 3,198 |
<|im_start|>user
What are the organized instructions within dna for making proteins called?
Answer choice: (A) clones (B) genes (C) genomes (D) replicants<|im_end|>
<|im_start|>assistant
<think>
</think>
The DNA of a chromosome is encoded with genetic instructions for making proteins. These instructions are organized... | 3,646 |
<|im_start|>user
The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $10,000, what was its market value two years later?
Answer Choices: (A) $8,000 (B) $4,000 (C) $3,200 (D) $2,400 (E) $800<|im_end|>
<|im_start|... | 42,858 |
<|im_start|>user
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Answer Choices: (A) 3526 (B) 1256 (C) 2186 (D) 2286 (E) 2400<|im_end|>
<|im_start|>ass... | 3,001 |
<|im_start|>user
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 36 seconds, the speed of each train (in km/hr) is
Answer Choices: (A) 12 (B) 36 (C) 28 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Distan... | 53,935 |
<|im_start|>user
Of the 320 people attending a conference, 180 have signed up for the Marketing workshop and 250 have signed up for the Accounting workshop. If 40 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
... | 23,559 |
<|im_start|>user
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7600 less if they could find two more equal investors. How much is the total investment in the new business... | 6,038 |
<|im_start|>user
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a mar... | 73,788 |
<|im_start|>user
In a group of ducks and cows, the total number of legs are 40 more than twice the number of heads. Find the total number of cows.
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of ducks be d
and number of cows be c
Then, total number... | 8,995 |
<|im_start|>user
Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be
Answer Choices: (A) Between 1 to 10 (B) Between 11 to 15 (C) Between 15 to 20 (D) Between 20 to 27 (E) Greater than 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = E =... | 90,513 |
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