text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Answer Choices: (A) 10 (B) 11 (C) 18 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 ... | 62,882 |
<|im_start|>user
a fruit vender buys 4 varieties of apple costing rs. 140,rs.150,rs.160 and rs.170 per kg in the ratio 2:3:4:1 and mixes all the four varieties and sells at 50% profit. What is the selling price per kg of apple?
Answer Choices: (A) 225 (B) 228 (C) 230 (D) 231 (E) 235<|im_end|>
<|im_start|>assistant
<thi... | 32,695 |
<|im_start|>user
In how many ways can eight different rings be worn on four fingers of one hand?
Answer Choices: (A) 10 (B) 12 (C) 70 (D) 60 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of ways = ways of selecting 4 objects out of 8 given objects
= 8C4 = 8x 7x 6x 5 /24= 70
The answer is C<|... | 19,445 |
<|im_start|>user
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 298 m (B) 350 m (C) 267 m (D) 276 m (E) 268 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform ... | 13,873 |
<|im_start|>user
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Answer Choices: (A) 2kmph (B) 3kmph (C) 8kmph (D) 9kmph (E) 7kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed in still water = (11+5)/2
= 8 kmph
The answer... | 80,364 |
<|im_start|>user
What branch of science deals with the effects people have on the environment?
Answer choice: (A) physical science (B) environmental science (C) cultural science (D) ecological science<|im_end|>
<|im_start|>assistant
<think>
</think>
Environmental science deals with the effects people have on the envi... | 8,679 |
<|im_start|>user
The ratio of male to female in a class is 2:7. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of th... | 3,216 |
<|im_start|>user
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Answer Choices: (A) 16.16% (B) 15.15% (C) 14.95% (D) 13.33% (E) 12.52%<|im_end|>
<|im_st... | 33,748 |
<|im_start|>user
Three interviewers, X, Y, and Z are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer X admitted 15 applicants, Y admitted 17 applicants, and Z admitted 20 applicants, at least how many applicants get the admission?
Answer Choices: (A) 0 (... | 80,162 |
<|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... | 16 |
<|im_start|>user
Which of the following could be the sum of the reciprocals of two prime numbers?
Answer Choices: (A) 7/13 (B) 11/12 (C) 11/30 (D) 23/50 (E) 18/77<|im_end|>
<|im_start|>assistant
<think>
</think>
10/12 it is
18/77=(1/7) + (1/11)
The answer is E<|endoftext|> | 79,225 |
<|im_start|>user
If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 51y
Answer Choices: (A) 1 (B) 2 (C) 3 and 2 (D) 1 and 2 (E) 2 and 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in some numbers
w = 1
x = 2
y = 3
z = 4
Check the opt... | 90,310 |
<|im_start|>user
A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years?
Answer Choices: (A) $12100 (B) $13100 (C) $14100 (D) $15100 (E) $16100<|im_end|>
<|im_start|>assistant
<think>
</think>
1st year depreciation amount = 100... | 96,744 |
<|im_start|>user
If 0 < a < b and k = (2a + 9b)/b , which of the following must be true?
Answer Choices: (A) k < 2 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do menti... | 38,125 |
<|im_start|>user
An error 2%in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Answer Choices: (A) 4.04 % (B) 2.02 % (C) 4 % (D) 2 % (E) 2.40 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Error =2% while measuring the side of... | 3,996 |
<|im_start|>user
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is:
Answer Choices: (A) s. 650 (B) s. 690 (C) s. 698 (D) s. 708 (E) s. 718<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = R... | 3,644 |
<|im_start|>user
Through which process does water from the oceans enter the atmosphere?
Answer choice: (A) oxidation (B) perspiration (C) absorption (D) evaporation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 6,183 |
<|im_start|>user
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container M?
Answer Choices: (A) A:45 (B) B:... | 43,004 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every substance around you is made of one or more chemical elements, or types of atoms. Substances that are made of only one chemical element are elementary substances. Substances that are made of two or more chemical elemen... | 6,127 |
<|im_start|>user
A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If a and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of a and n?
Answer Choices: (A) -200 (B) -130 (C) -104 (D) 51 (E) 30... | 91,490 |
<|im_start|>user
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the 2nd?
Answer Choices: (A) 1200 (B) 1245 (C) 1349 (D) 1450 (E) 1530<|im_end|>
<|im_start|>assistant
<think>
</think>
First digit is 1/3 second digit => The numb... | 30,874 |
<|im_start|>user
The amount of time that three people worked on a special project was in the ratio of 3 to 5 to 6. If the project took 140 hours, how many more hours did the hardest working person work than the person who worked the least?
Answer Choices: (A) 32 hours (B) 40 hours (C) 35 hours (D) 30 hours (E) 36 hours... | 20,137 |
<|im_start|>user
As a myotube is formed from many different myoblast cells, it contains many nuclei, but has a continuous what?
Answer choice: (A) nucleus (B) mucus (C) cytoplasm (D) cerebellum<|im_end|>
<|im_start|>assistant
<think>
</think>
or myotube. As a myotube is formed from many different myoblast cells, it c... | 1,350 |
<|im_start|>user
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Answer Choices: (A) 17 min (B) 10 min (C) 15 min (D) 47 min (E) 55 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m.
When a train ... | 87,165 |
<|im_start|>user
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Answer Choices: (A) 15 cents (B) 10 cents (C) 5 cents (D) 2 cents (E) 4 cents<|im_end|>
<|im_start|>assistant
<think>
</think>
But the mistake there is that when you actual... | 84,192 |
<|im_start|>user
When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?
Answer Choices: (A) 240, 355 (B) 250, 341 (C) 245, 342 (D) 250, 261 (E) NOne<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Clearly, 5 x (s... | 84,658 |
<|im_start|>user
What is the smallest positive integer x, such that 1,152x is a perfect cube?
Answer Choices: (A) 4 (B) 6 (C) 8 (D) 12 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x fo... | 21,646 |
<|im_start|>user
A room is 10 meters long, 8 meters wide 6 meters in height. The longest possible rod which can be placed in the room is
Answer Choices: (A) 13.12 meters (B) 13.92 meters (C) 13.52 meters (D) 13.72 meters (E) 14.14 meters<|im_end|>
<|im_start|>assistant
<think>
</think>
Square root of 10^2+8^2+6^2...(... | 58,636 |
<|im_start|>user
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Answer Choices: (A) 33 1/3% (B) 33 1/9% (C) 33 9/3% (D) 32 1/3% (E) 33 1/2%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the CP of each pen be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pens = Rs. 33
Prof... | 37,717 |
<|im_start|>user
Ramya took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If she paid Rs.686 as interest at the end of the loan period, Find the rate of the interest?
Answer Choices: (A) 5% (B) 6% (C) 4% (D) 3% (E) 7%<|im_end|>
<|im_start|>assistant
<think>
</think>
SI = 686
P = 1... | 92,149 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 360 m and they cross each other in 12 sec, then the speed of each train is?
Answer Choices: (A) 11 (B) 27 (C) 36 (D) 99 (E) 108<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each trai... | 15,272 |
<|im_start|>user
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Answer Choices: (A) 60 (B) 65 (C) 63 (D) 70 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
Req 7C5*3C2==>63
The answer is C<|endoftext|> | 51,366 |
<|im_start|>user
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
Answer Choices: (A) 7 days (B) 8 days (C) 13 (D) 5 days (E) 2days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Work done by P in 1 day = ... | 4,111 |
<|im_start|>user
On a certain farm the ratio of horses to cows is 4:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 7:3. After the transaction, how many more horses than cows would the farm own?
Answer Choices: (A) 20 (B) 40 (C) 50 (D) 60 (E) 80<|im_end|>
<|im_start|>ass... | 75,705 |
<|im_start|>user
The operation # is defined for all nonzero x and y by x#y = x + x/y. If S>0, then 1#(1#S) =
Answer Choices: (A) S (B) S+1 (C) S/(S+1) (D) (S+2) /(S+1) (E) (2S+1) /(S+1) <|im_end|>
<|im_start|>assistant
<think>
</think>
x#y = x + x/y. If S>0, then 1#(1#S) =
You can see that a stands for y and 1 stan... | 47,248 |
<|im_start|>user
The number 7490xy is divisible by 90. Find out (x+y).
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
10×9=90 where 10 and 9 are co-prime numbers. Hence, if
7490xy is divisible by 9 and 10, it will also be divisible by 90
7490xy is divisible by 10. We kn... | 82,480 |
<|im_start|>user
Marts income is 60 percent more than Tims income and Tims income is 50 percent less than Juans income. What percentage of Juans income is Marts income
Answer Choices: (A) 124% (B) b) 120 % (C) c) 96 % (D) d) 80 % (E) e) 64 %<|im_end|>
<|im_start|>assistant
<think>
</think>
M = (160/100)T
T = (50/... | 40,597 |
<|im_start|>user
The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
Answer Choices: (A) 1:1 (B) 1:9 (C) 1:3 (D) 1:4 (E) 1:3<|im_end|>
<|im_start|>assistant
<think>
</think>
1:4
The answer is D<|endoftext|> | 25,581 |
<|im_start|>user
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?
Answer Choices: (A) 2 (B) 4 (C) 4 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
-----------... | 2,498 |
<|im_start|>user
If 6 (A's capital) = 8 (B's capital) = 12 (C's capital). Then the ratio of their capitals is?
Answer Choices: (A) 20:15:16 (B) 4:3:1 (C) 4:3:2 (D) 20:15:11 (E) 20:15:19<|im_end|>
<|im_start|>assistant
<think>
</think>
6A = 8B = 12 C
A:B:C = 1/6:1/8:1/12
= 4:3:2
The answer is C<|endoftext|> | 92,554 |
<|im_start|>user
Boy sells a book for Rs. 450 he gets a loss of 10%, To gain 10%, at price he should sell?
Answer Choices: (A) Rs.400 (B) Rs.450 (C) Rs.550 (D) Rs.600 (E) Rs.650<|im_end|>
<|im_start|>assistant
<think>
</think>
Find Selling Price to gain 10 %.
Now, we are asked to find selling price to gain 10% profit... | 75,156 |
<|im_start|>user
There are two shelves A and B.The number of books in shelf A is 50 more than in shelf B..Then 20 books are removed from each shelf..Then the number of books in shelf A is twice the number of books in shelf..what are the number of books in shelf A originally?
Answer Choices: (A) 100 (B) 120 (C) 140 (D) ... | 49,839 |
<|im_start|>user
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Answer Choices: (A) 229 (B) 288 (C) 600 (D) 888 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 33,471 |
<|im_start|>user
What branch of science aims to understand all about our planet and its environments?
Answer choice: (A) biology (B) earth science (C) immunology (D) petrology<|im_end|>
<|im_start|>assistant
<think>
</think>
If someone asks you, “What is science?” you might say that it’s a bunch of facts and explanat... | 4,568 |
<|im_start|>user
The tax on a commodity is diminished by 14% and its consumption increased by 15%. The effect on revenue is?
Answer Choices: (A) 2.1% (B) 8.1% (C) 5.1% (D) 6.1% (E) 1.1%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
86 * 115 = 9890
-----------
10000-----------110
100-----------? =... | 31,892 |
<|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... | 311 |
<|im_start|>user
A policeman noticed a criminal from a distance of 200 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
Answer Choices: (A) 100 m (B) 120 m (C) 130 m (D... | 81,721 |
<|im_start|>user
If ‘LONDON’ is coded as ‘KNMCNM’, then ‘INDIA’ is coded as
Answer Choices: (A) EWSTF (B) RGTDF (C) HMCHZ (D) HTGCVH (E) POJYNMK<|im_end|>
<|im_start|>assistant
<think>
</think>
L= 12 = 12-1 = 11 = K
O = 15 =15-1 =14 = N
SIMILARLY,
I = 9 = 9-1 = 8 = H
N = 14 = 14-1 = 13 = M
D = 4 = 4-1 = 3 = C
A = 27 ... | 77,903 |
<|im_start|>user
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 22 (B) 75 (C) 44 (D) 28 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (90 + 60)/2 = 75 kmph
The answer is B<|endoftext|> | 2,221 |
<|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... | 466 |
<|im_start|>user
In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 45 ducks and in the larger pond there are 55 ducks. If 20% of the ducks in the smaller pond are green and 40% of the ducks in the larger pond are green, then what percentage of ducks are green?
Answer Cho... | 61,549 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Some animals have a backbone. The backbone is made of many bones in an animal's back. An animal's backbone helps connect the different parts of its body. In the drawings below, each animal's backbone is colored orange.
Other... | 151 |
<|im_start|>user
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 150 m (B) 240 m (C) 589 m (D) 600 m (E) 200m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = 5... | 93,750 |
<|im_start|>user
What least number must be added to 1170, so that the sum is completely divisible by 23 ?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
51*23 = 1173
1173 - 1170 = 3
The answer is A<|endoftext|> | 31,553 |
<|im_start|>user
A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?
Answer Choices: (A) 5.5 (B) 8.5 (C) 6.5 (D) 9.5 (E) 7.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Man's rate down stream = 8 + 2 = 10 km... | 64,360 |
<|im_start|>user
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Answer Choices: (A) 20:15:15 (B) 20:15:10 (C) 20:15:12 (D) 20:15:11 (E) 20:15:13<|im_end|>
<|im_start|>assistant
<think>
</think>
6A = 8B = 10 C
A:B:C = 1/6:1/8:1/10
= 20:15:12.
The answer is C<|endoftext|> | 29,161 |
<|im_start|>user
How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6,7 and 8 such that the numbers are divisible by 9?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
CONCEPT: A number will be divisible by 9 if sum of all the digits of ... | 71,543 |
<|im_start|>user
A train is 300 meter long is running at a speed of 54 km/hour. In what time will it pass a tunnel of 1200 meter length?
Answer Choices: (A) 90 seconds (B) 85seconds (C) 40 seconds (D) 100 seconds (E) 120 seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 Km/hr = 54*(5/18) m/sec = 15 ... | 54,984 |
<|im_start|>user
What is driven by the sun's energy and moves water over the surface of earth?
Answer choice: (A) sun cycle (B) tides (C) the water cycle (D) weather cycle<|im_end|>
<|im_start|>assistant
<think>
</think>
The Sun heats some areas more than others, which causes wind. The Sun's energy also drives the wa... | 1,803 |
<|im_start|>user
The speed of a boat in still water is 60kmph and the speed of the current is 5kmph. Find the speed downstream and upstream?
Answer Choices: (A) 80,70 kmph (B) 80,40 kmph (C) 10,40 kmph (D) 65,55 kmph (E) 84,40 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 60 + 5
= 65 kmph
S... | 32,913 |
<|im_start|>user
What is a measure of how hot or cold the air is?
Answer choice: (A) precipitation (B) variation (C) relativity (D) temperature<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 3,882 |
<|im_start|>user
What is the term for the muscular duct through which sperm are propelled?
Answer choice: (A) the glarus deferens (B) the glans deferens (C) the vas deferens (D) the västerås deferens<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 4,767 |
<|im_start|>user
In the class of 100 students, 70 speak Tamil and 70 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Answer Choices: (A) A) 8 (B) B) 10 (C) C) 20 (D) D) 30 (E) E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
let the student who speaks Tamil-x
let the s... | 74,093 |
<|im_start|>user
A couple spent $184.80 in total while dining out and paid this amount using a credit card. The $184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax a... | 24,072 |
<|im_start|>user
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
Answer Choices: (A) 150 (B) 339 (C) 342 (D) 359 (E) 362<|im_end|>
<|im_start|>assistant
<think>
</think>
1-digit integers
Number of 1-digit integers (1 to 9) = 9 - 1 ... | 13,170 |
<|im_start|>user
What are large vesicles derived from the endoplasmic reticulum and golgi apparatus?
Answer choice: (A) chloroplasts (B) tubules (C) alleles (D) vacuoles<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 9,547 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 187 m (B) 278 m (C) 279 m (D) 270 m (E) 872 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the lengt... | 1,085 |
<|im_start|>user
The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 10092 sq. m, the cost of fencing the field @ 25 paise per metre is
Answer Choices: (A) Rs. 55.50 (B) Rs. 67.50 (C) Rs. 86.50 (D) Rs. 101.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
... | 51,298 |
<|im_start|>user
Jeff received a 10% raise each month for three consecutive months. What was his starting salary if after the three raises his salary is $1331?
Answer Choices: (A) $1,000 (B) $1,100 (C) $1,200 (D) $1,300 (E) $1,400<|im_end|>
<|im_start|>assistant
<think>
</think>
S * 1.1 * 1.1 * 1.1 = 1331 thus,
S = 1... | 5,422 |
<|im_start|>user
There are between 500 and 510 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Answer Choices: (A) 501 (B) 503 (C) 506 (D) 507 (E) 510<|im_end|>
<|im_star... | 96,873 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Reptiles have scaly, waterproof skin. Most reptiles live on land.
Question:
Select the reptile.
Answer Choices: (A) humpback whale (B) gray tree frog (C) green iguana (D) California toad<|im_end|>
<|im_start|>assistant
<thi... | 5,839 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
Answer Choices: (A) 11 min (B) 10 min (C) 37 min (D) 17 min (E) 16 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Due to stoppages, it covers 9 km less.
... | 29,448 |
<|im_start|>user
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices?
Answer Choices: (A) 5 (B) 16 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>as... | 89,801 |
<|im_start|>user
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 20 km/hr. Find the total journey in km.
Answer Choices: (A) 220 km (B) 224 km (C) 230 km (D) 232 km (E) 200 km<|im_end|>
<|im_start|>assistant
<think>
</think>
0.5x/20 + 0... | 54,655 |
<|im_start|>user
Which of the following is closest to (-5/6)^199？
Answer Choices: (A) -1 (B) -1/2 (C) 0 (D) 1 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
(-5/6)^4 = 625/1296 which is already less than 1/2.
For larger exponents, the expression will get closer and closer to zero.
The answer is C<|endoftext|> | 12,324 |
<|im_start|>user
A sum of $800 amounts to $920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to how much ?
Answer Choices: (A) $506 (B) $774 (C) $992 (D) $854 (E) $1021<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I = 920-800 = 120
P = $800
T = 3 years
R = 100*120 / 800*... | 83,678 |
<|im_start|>user
The speed at which a man can row a boat in still water is 18 kmph. If he rows downstream, where the speed of current is 6 kmph, what time will he take to cover 100 metres?
Answer Choices: (A) 6.67seconds (B) 18 seconds (C) 26 seconds (D) 14.99 seconds (E) 6 seconds<|im_end|>
<|im_start|>assistant
<thin... | 8,019 |
<|im_start|>user
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was
Answer Choices: (A) Rs. 292.50 (B) Rs. 292.77 (C) Rs. 292.21 (D) Rs. 292.19 (E) Rs. 292.11<|im_end|>
<|im_start|>assistan... | 65,984 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 1,828 |
<|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... | 6,433 |
<|im_start|>user
The sum of the digits of [(10^x)^y]-64=279. What is the value of xy ?
Answer Choices: (A) 28 (B) 29 (C) 30 (D) 31 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
1000−64=936. Whatever XY is you finish with 36==>3+6=9
Therefore, 279−9=270 and 270/9=30
Now you add the last two digits (3 and 6)
... | 43,525 |
<|im_start|>user
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Answer Choices: (A) 40 (B) 50 (C) 60 (D) 70 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25... | 37,608 |
<|im_start|>user
Toward the late stages of pregnancy, a drop in progesterone and stretching forces from the fetus lead to increasing uterine irritability and prompt labor. contractions serve to dilate the cervix and expel this?
Answer choice: (A) newborn (B) blood (C) tissues (D) uteris<|im_end|>
<|im_start|>assistant
... | 5,111 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 1,787 |
<|im_start|>user
Last week John spent 10 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
Answer Choices: (A)... | 22,156 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 3,200 |
<|im_start|>user
Mr. Kela purchased two steel factories, one in india and other one in Malaysia for total Rs. 72
crores. Later on he sold the india factory at 16% profit and malaysian factory at 24% profit.
Thus he gained a total profit of 19%. The selling price of Indian factory is:
Answer Choices: (A) 52.2 crores (B)... | 59,063 |
<|im_start|>user
Sally has to pick her son up at 2 p.m. It is now 12:30 p.m. She has to travel 53 miles to get her son from camp. What time should she leave to pick her on up with the closest time to 2 p.m, without being late, given the distance of 53 miles with a constant speed of 50 mph?
Answer Choices: (A) She needs... | 9,145 |
<|im_start|>user
A can give B 120 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Answer Choices: (A) 90.09 meters (B) 111.12 meters (C) 112.12 meters (D) 113.12 meters (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A runs 1000... | 54,948 |
<|im_start|>user
7 people (A, B, C, D, E, F and G) go to a movie and sit next to each other in 7 adjacent seats in the front row of the theater.
How many different arrangements are possible? If A will not sit to the left of F and F will not sit to the left of E. How many different arrangements are possible.
Answer Choi... | 13,569 |
<|im_start|>user
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red
Answer Choices: (A) 23/42 (B) 19/42 (C) 7/32 (D) 16/39 (E) 17/39<|im_end|>
<|im_start|>assistan... | 53,466 |
<|im_start|>user
If Josh, Doug, and Brad have a total of $72 between them, and Josh has three times as much money as Brad but only three-fourths as much as Doug, how much money does Brad have?
Answer Choices: (A) $8 (B) $9 (C) $27 (D) $32 (E) $36<|im_end|>
<|im_start|>assistant
<think>
</think>
Josh+Doug+Brad = 72 ; ... | 22,460 |
<|im_start|>user
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 2 years would be
Answer Choices: (A) (1.5) ^4 (B) 4(1.5) (C) (1.05) ^2 (D) 1 + (0.05) ^4 (E) 1 + 4(0.05) <|im_end|>
<|im_start|>assistant
<think>
</think>
f John invested $ 1 ... | 18,381 |
<|im_start|>user
f two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Answer Choices: (A) 1/9 (B) 1/2 (C) 1/1 (D) 1/5 (E) 1/8<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive outcomes is 36.
Let E be the event of getting an e... | 8,140 |
<|im_start|>user
Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10.9 (B) 10.7 (C) 10.3 (D) 11.88 (E) 12.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative sp... | 30,689 |
<|im_start|>user
A can finish a work in 10 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?
Answer Choices: (A) 1/5 (B) 1/6 (C) 1/7 (D) 3/10 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Please note in th... | 40,143 |
<|im_start|>user
Helen went to the stationers and bought things worth Euro 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) Euro 16.70 (B) Euro 15.70 (C) Euro 13.70 (D) Euro 18.70 (E) Euro 19.70<|im_end|>
<|im_sta... | 79,476 |
<|im_start|>user
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?
Answer Choices: (A) 3377 (B) 2899 (C) 3750 (D) 2778 (E) 1991<|im_end|>
<|im_start|>assistant
<think>
<... | 78,002 |
<|im_start|>user
The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
Answer Choices: (A) $15,594. (B) $15,322. (C) $14,786. (D) $14,543.... | 1,579 |
<|im_start|>user
On dividing a number by 357, we get 39 as remainder.On dividing the same number by 17, what will be the remainder ?
Answer Choices: (A) 4 (B) 5 (C) 8 (D) 7 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the number and y be the quotient.Then,
x=357*y+39
=(17*21*y)+(17*2)+5
=17*(21y+2)... | 11,367 |
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