text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have eight times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley ten of her spiders, Pugsley would now have fourteen fewer spiders than We... | 41,734 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Everything you can buy is either a good or a service.
A good is something you can touch or hold in your hands. For example, a hammer is a good.
A service is a job you pay someone else to do. For example, cooking food in a re... | 2,379 |
<|im_start|>user
Which of the following numbers is the biggest => [-5/7 , -7/8 , -9/10 , -12/13 , -34/35]
Answer Choices: (A) A) -5/7 (B) B) -7/8 (C) C) -9/10 (D) D) -12/13 (E) E) -34/35<|im_end|>
<|im_start|>assistant
<think>
</think>
If we observe all the fractions just differ by one i.e denominator vs numerate.. i... | 57,209 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
In a title, capitalize the first word, the last word, and every important word in between.
The Wind in the Willows James and the Giant Peach
These words are not important in titles:
Articles, a, an, the
Short prepositions, s... | 4,797 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Answer Choices: (A) 8428 (B) 8199 (C) 8400 (D) 8419 (E) 8412<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 22500 : 35000 = 9:14
Deep... | 27,223 |
<|im_start|>user
Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 37 years, then how old is Chris ?
Answer Choices: (A) 7 years (B) 10 years (C) 12 years (D) 13 years (E) 14 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Chris's age be x year... | 45,350 |
<|im_start|>user
If x^2−2ax+a^2=0 get value of x/a
Answer Choices: (A) 8 (B) 9 (C) 7 (D) 5 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
a is obviously non-zero. We divide the equation by
a^2
we get (x/a-1)^2=0
x/a=1
The answer is E<|endoftext|> | 65,725 |
<|im_start|>user
Snakes use what anatomical structure to smell scents in the air?
Answer choice: (A) forked tails (B) branched tongue (C) forked tongue (D) forked eyes<|im_end|>
<|im_start|>assistant
<think>
</think>
Most reptiles have good eyesight and a keen sense of smell. Snakes smell scents in the air using thei... | 11,563 |
<|im_start|>user
When the bud is fully developed, it breaks away from the parent cell and forms a new what?
Answer choice: (A) organism (B) stem (C) flower (D) leaf<|im_end|>
<|im_start|>assistant
<think>
</think>
Budding occurs when a parent cell forms a bubble-like bud. The bud stays attached to the parent cell whi... | 5,487 |
<|im_start|>user
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Answer Choices: (A) 50 (B) 99 (C) 88 (D) 65 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 500
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 500
----------------
C = ... | 21,819 |
<|im_start|>user
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Answer Choices: (A) 33 (B) 7 (C) 8 (D) 28 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 65,256 |
<|im_start|>user
If s > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - s) =
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 3/4 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let y-z=t ---> since y is halfway between x and z and x>y we have x-y=t. M... | 58,629 |
<|im_start|>user
A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
Answer Choices: (A) 18 days (B) 22 ½ days (C) 24 days (D) 26 days (E) 23 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If A completes a work in 1 day, ... | 47,425 |
<|im_start|>user
The ratio of the arithmetic mean of two numbers to one of the numbers is 3:5. What is the ratio of the smaller number to the larger?
Answer Choices: (A) 1:5 (B) 1:4 (C) 1:3 (D) 1:2 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
let the numbers be a,b
acc. to problem,
(a+b)/2∗a(a+b)/2∗a = 3/... | 95,001 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 19 books. Find his gain% or loss%?
Answer Choices: (A) 16 2/3% loss (B) 16 2/8% loss (C) 21 1/19% loss (D) 36 2/3% loss (E) 56 2/3% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
15 CP = 19 SP
19 --- 4 CP loss
100 --- ? => 21 1/19% loss
The answer is ... | 30,850 |
<|im_start|>user
If x > 1, which of the following decreases as x decreases?
I.1/( x + x^2)
II. 1/(2x^2 − x)
III. (x + 1)
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) II and III only<|im_end|>
<|im_start|>assistant
<think>
</think>
let x= 4 and 3 b old and new values
ST1: x= 4 -> 4+16 = 1/... | 41,095 |
<|im_start|>user
What is the height of the triangle?
I. The area of the triangle is 20 times its base.
II. The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
Answer Choices: (A) I alone sufficient while II alone not sufficient to answer (B) II alone sufficient while I alone not sufficien... | 39,781 |
<|im_start|>user
What is the ratio between perimeters of two squares one having 2.5 times the diagonal then the other?
Answer Choices: (A) 4: 5 (B) 1: 3 (C) 2.5: 1 (D) 3.5: 1 (E) 3: 2<|im_end|>
<|im_start|>assistant
<think>
</think>
d = 2.5d d = d
a√2 = 2.5d a√2 = d
a = 2.5d/√2 a = d/√2 =>2.5: 1
The answer is C<|endo... | 40,780 |
<|im_start|>user
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Answer Choices: (A) 12 (B) 77 (C) 48 (D) 99 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Rel... | 28,334 |
<|im_start|>user
Three numbers are in the ratio 1.5:2:3.5 and their H.C.F is 18. The numbers are:
Answer Choices: (A) 22,36, 63 (B) 27,45, 63 (C) 27,54, 63 (D) 54, 45, 36 (E) 27,36, 63<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required numbers be 1.5x, 2x and 3.5x. Then, their H.C.F = x. So, x = 18.
Th... | 82,467 |
<|im_start|>user
What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
Answer Choices: (A) 35 (B) 38 (C) 46 (D) 49 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
(C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .
The answer is C<|endoftext|> | 48,655 |
<|im_start|>user
If the area of a circle is 144pi square feet, find its circumference.
Answer Choices: (A) 65 pi feet (B) 24 pi feet (C) 42 pi feet (D) 18 pi feet (E) 64 pi feet<|im_end|>
<|im_start|>assistant
<think>
</think>
The area is given by pi * r * r. Hence
pi * r *r = 144 pi
r *r = 81 ; hence r = 12 feet
The... | 6,605 |
<|im_start|>user
A woman gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
Answer Choices: (A) 60% (B) 34% (C) 140% (D) 100% (E) 55%<|im_end|>
<|im_start|>assistant
<think>
</think>
C
C.P. = Rs. x.
Then, S.P. = Rs. (12% of x) = Rs. 6x/5
New S.P... | 25,436 |
<|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... | 3,219 |
<|im_start|>user
A pipe can fill a tank in 15 minutes and another one in 10 minutes. A third pipe can empty the tank in 5 minutes. The first two pipes are kept open for 4 minutes in the beginning and then the third pipe is also opened. In what time will the tank be empited ?
Answer Choices: (A) 35 min (B) 15 min (C) 20... | 15,654 |
<|im_start|>user
Your friend collecting balls. Suppose he start out with 59 balls . You gave him another 20 balls. How many balls do your friend have at the end?
Answer Choices: (A) 79 (B) 97 (C) 59 (D) 20 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Friend start with 59 balls.
You gave 20 balls: ... | 1,868 |
<|im_start|>user
The present population of a town is 60,000. The population increases annually at 10%. Find the population after 3 years.
Answer Choices: (A) 86000 (B) 79860 (C) 76300 (D) 82900 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: The required population is 60000(... | 35,432 |
<|im_start|>user
What is the average of 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125?
Answer Choices: (A) 1345 (B) 1334 (C) 1313.33 (D) 1350 (E) 1325<|im_end|>
<|im_start|>assistant
<think>
</think>
Add 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125
Grouping numbers together may quicken the... | 20,158 |
<|im_start|>user
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?
Answer Choices: (A) 290 (B) 320 (C) 350 (D) 380 (E) 410<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x b... | 51,192 |
<|im_start|>user
a natural numbr has exactly 10 divisors including 1 and itself.how many distint prime factors this natural numbr will have?
Answer Choices: (A) 1 or2 (B) 1 or3 (C) 1 or 2or 3 (D) 2 or 3 (E) 2 or 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Here it is given that the number has exactly 10 divisor... | 21,193 |
<|im_start|>user
Insert the missing number
100,91,....,76,70
Answer Choices: (A) 82 (B) 83 (C) 84 (D) 81 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Missing number: 83
The answer is B<|endoftext|> | 27,642 |
<|im_start|>user
A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Answer Choices: (A) 1/14 (B) 1/7 (C) 2/7 (D) 1/2 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>... | 13,009 |
<|im_start|>user
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Answer Choices: (A) 2 (B) 7 (C) 8 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Amount = (30000 + 4347) = Rs. 34347
Let the time be n years. Then,
30000(1 + 7/100)n = 34347
= (107/100... | 13,106 |
<|im_start|>user
Neon, krypton and argon are examples of what kind of gases, which produce light by electroluminescence?
Answer choice: (A) radiation gases (B) ionic gases (C) halogen gases (D) irradiation gases<|im_end|>
<|im_start|>assistant
<think>
</think>
A neon light produces visible light by electroluminescenc... | 4,135 |
<|im_start|>user
The population of cities A and B is equal. The population of city A increases in two successive years by 20% and 15% respectively and that of city B increases successively by 20% and 10% respectively. If the difference in the population of two cities after 2 years is 768, then what was the total popula... | 46,978 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 120 metres (B) 180 metres (C) 324 metres (D) 150 metres (E) 160 metres<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed= 60 X5/18 m/sec =50/3m/sec
Length of th... | 87,416 |
<|im_start|>user
The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number
Answer Choices: (A) 400 (B) 256 (C) 120 (D) 420 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Solve this question by using below formula.
Product of ... | 65,039 |
<|im_start|>user
Each month a retailer sells 100 identical items. On each item he makes a profit of $30 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the poli... | 69,481 |
<|im_start|>user
Breeding in birds occurs through an internal type of what process?
Answer choice: (A) segmentation (B) sedimentation (C) fertilization (D) stimulation<|im_end|>
<|im_start|>assistant
<think>
</think>
Breeding in birds is through internal fertilization, where the egg is fertilized inside the female.
T... | 6,302 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 2,443 |
<|im_start|>user
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Answer Choices: (A) 10 (B) 50 (C) 40 (D) 20 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
So, 60x = 2400 or x = 40.
{\color{Blue} \therefore } Th... | 33,846 |
<|im_start|>user
A man drive his car to the office at 20miles/hr.
After reaching office, he realize that its a new year holiday so he went back home at a speed of 30miles/hr.
Discounting the time spent in the stoppage what was his average speed of his journey ?
Answer Choices: (A) 21 (B) 20 (C) 25 (D) 24 (E) 29<|im_end... | 4,968 |
<|im_start|>user
What system can be used by scientists to express very small numbers?
Answer choice: (A) similar notation (B) scientific diffusion (C) scientific notation (D) certain diffusion<|im_end|>
<|im_start|>assistant
<think>
</think>
Very small numbers can also be expressed using scientific notation. The mass... | 3,008 |
<|im_start|>user
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Answer Choices: (A) 270 (B) 978 (C) 267 (D) 166 (E) 199<|im_end|>
<|im_start|>assistant
<think>
</think>
12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
The ... | 81,081 |
<|im_start|>user
What disease, caused by vitamin c deficiency, causes bleeding gums, nosebleeds, and other symptoms?
Answer choice: (A) rickets (B) dehydration (C) scurvy (D) leukemia<|im_end|>
<|im_start|>assistant
<think>
</think>
Not getting enough vitamins can cause health problems. For example, too little vitami... | 7,867 |
<|im_start|>user
The units digit of (3)^(44) + (10)^(46) is:
Answer Choices: (A) 2 (B) 4 (C) 1 (D) 8 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
any power of anything ending in zero always has a units digit of 0. So the first term has a units digit of 0.
The period is 4. This means, 3 to the power of any m... | 15,694 |
<|im_start|>user
Simplify: 839478 x 625
Answer Choices: (A) 527346750 (B) 524673750 (C) 526473750 (D) 526475730 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
839478 x 625 = 839478 x 5^4 = 8394780000/16
= 524673750.
The answer is C<|endoftext|> | 50,508 |
<|im_start|>user
A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/2rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what... | 51,074 |
<|im_start|>user
In how many ways can you seat 5 people on a bench if one of them does not want to sit on the middle seat or at either end?
Answer Choices: (A) 40 (B) 44 (C) 48 (D) 52 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
One person can choose 2 possible chairs to sit. The remaining 4 people can sit... | 27,458 |
<|im_start|>user
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 7800 ?
Answer Choices: (A) 11 (B) 13 (C) 14 (D) 18 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Required difference = [3 ½ % of Rs.7800] – [3 1/3... | 71,488 |
<|im_start|>user
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
A.
B.
C
D.
E.
Answer Choices: (A) 180 (B) 196 (C) 286 (D) 288 (E) 324<|im_end|>
<|im_start|>assistant
<think>
</think>
Should be 288.
We have to find the total number of 3-digit odd numbers not... | 87,927 |
<|im_start|>user
A man buy a book in Rs50 & sale it Rs70. What is the rate of profit ???
Answer Choices: (A) 10% (B) 40% (C) 30% (D) 25% (E) 28%<|im_end|>
<|im_start|>assistant
<think>
</think>
cp=50
sp=70
profit=70-50=20
%=20/50*100=40%
The answer is B<|endoftext|> | 44,785 |
<|im_start|>user
The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Answer Choices: (A) 2/3 (B) 3/2 (C) 4/5 (D) 5/8 (E) 4/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the earning... | 94,962 |
<|im_start|>user
If (6)(x^2) has three different prime factors, at most how many different prime factors does x have?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
x can have at most 3 prime factors, namely the prime factors 2 and 3, plus one other.
If x had more than ... | 52,392 |
<|im_start|>user
Tommo spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tommo won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Answer Choices: (A) 33... | 15,127 |
<|im_start|>user
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Answer Choices: (A) 29 (B) 67 (C) 90 (D) 86 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
200*2 = 400
580
-----
180
1----2
?----180 = 90
The... | 32,130 |
<|im_start|>user
How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5412, 6336
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible b... | 39,145 |
<|im_start|>user
A and B together have USD. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Answer Choices: (A) USD 460 (B) USD 484 (C) USD 550 (D) USD 664 (E) None of above<|im_end|>
<|im_start|>assistant
<think>
</think>
4/5 A= 2/5 B
=> A=(2/5 * 15/4) B
=> A=3/2 B
=>A/B= 3/2
... | 68,415 |
<|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.
Imagine being told that the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 3,474 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1395. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1234 (B) 1265 (C) 1350 (D) 1467 (E) 1671<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 23,624 |
<|im_start|>user
Two integers x and y are chosen without replacement out of the set {1, 2, 3,......, 10}. Then the probability that x^y is a single digit number.
Answer Choices: (A) 11/90 (B) 13/90 (C) 17/90 (D) 19/90 (E) 23/90<|im_end|>
<|im_start|>assistant
<think>
</think>
it can take 9 values when x=1..
it can ta... | 85,425 |
<|im_start|>user
If a and b are multiples of 6 then which are all the multiples of 6
1) a*b
2) a^b
3) a/b
4) a-b
5) a+b
Answer Choices: (A) 1,2,4,5 (B) 2,3,4,5 (C) 1,3 (D) all of these (E) 1,2,5<|im_end|>
<|im_start|>assistant
<think>
</think>
a*b a^b a+b a-b are multiples of 6 except a/b
The answer is A<|endoftext|> | 25,499 |
<|im_start|>user
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Answer Choices: (A) 8:8 (B) 9:8 (C) 9:9 (D) 9:5 (E) 9:1<|im_end|>
<|im_start|>assistant
<think>
</think>
(3*6 + 6*6): (4*12)
54:48 => 9:8
Th... | 60,770 |
<|im_start|>user
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 2/3 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the proba... | 24,440 |
<|im_start|>user
how many such letters pairs r in word FRONTIER having same no. of letters left between them in the word as they have in the series
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
the no of letters between the specific two letters when we write in the alp... | 15,972 |
<|im_start|>user
How are classic sedimentary rocks group?
Answer choice: (A) particle depth (B) density (C) size of sediment (D) color<|im_end|>
<|im_start|>assistant
<think>
</think>
Clastic sedimentary rocks are grouped by the size of the sediment they contain. Conglomerate and breccia are made of individual stones... | 808 |
<|im_start|>user
Under a microscope, salt crystals are what shape?
Answer choice: (A) triangles (B) circles (C) cubes (D) squares<|im_end|>
<|im_start|>assistant
<think>
</think>
Under a microscope, salt crystals are cubes.
The answer is C<|endoftext|> | 4,862 |
<|im_start|>user
The product of n consecutive positive integers is always divisible by
Answer Choices: (A) n^2 -1 (B) (n+1) ! (C) 2n +1 (D) n^2 + 1 (E) n!<|im_end|>
<|im_start|>assistant
<think>
</think>
Product of first 2 number is 2*1
Product of first 3 number is 3*2*1
Product of first 4 number is 4*3*2*1
Product o... | 63,209 |
<|im_start|>user
By selling 22 pens for a rupee a woman loses 10%. How many for a rupee should he sell in order to gain 50%?
Answer Choices: (A) 12 (B) 14 (C) 45 (D) 13 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
D
90% --- 22
150% --- ?
90/150 * 22 = 13
The answer is D<|endoftext|> | 76,616 |
<|im_start|>user
Two stations A and B are 155 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 12 (E) 8<|im_end|>
<|im_s... | 79,882 |
<|im_start|>user
An amusement park charges $8 for an adults' ticket, and $6 for a children's ticket. On a certain day, a total of 150 tickets were sold for a total cost of $1020. How many more children's tickets were sold than adults' tickets?
Answer Choices: (A) 30 (B) 50 (C) 80 (D) 90 (E) 120<|im_end|>
<|im_start|>as... | 5,664 |
<|im_start|>user
What is the sum between the place values of three 7's in the numeral 87953.0727
Answer Choices: (A) 21 (B) 7000.0707 (C) 7777 (D) 7014 (E) 7000.0077<|im_end|>
<|im_start|>assistant
<think>
</think>
Required sum = 7000 + 0.0700 + 0.0007 = 7000.0707
The answer is B<|endoftext|> | 65,808 |
<|im_start|>user
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Answer Choices: (A) 7 (B) 9 (C) 4 (D) 13 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 1 man's 1 day's... | 36,035 |
<|im_start|>user
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
Answer Choices: (A) 16 (B) 17 (C) 8 (D) 12 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of Kunal and Sagar 6 years ago be 6x an... | 72,485 |
<|im_start|>user
A man borrowed Rs.10000 from a lender at 9% p.a rate of interest. Find the amount to be paid by the man after 2years 6months?
Answer Choices: (A) Rs 10050 (B) Rs 12050 (C) Rs 12250 (D) Rs 13000 (E) Rs 14550<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = Rs 10000 Rate of interest R = 9%
... | 24,690 |
<|im_start|>user
One ton has 2200 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Answer Choices: (A) 1760 (B) 1700 (C) 2350 (D) 2500 (E) 8000<|im_end|>
<|im_start|>assistant
<think>
</think>
16 pounds... | 12,788 |
<|im_start|>user
When a certain number X is divided by 143, the remainder is 42. Which of the following numbers, if added to X, would result in a number divisible by 13?
Answer Choices: (A) 10 (B) 21 (C) 34 (D) 47 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
Now X= 143q + 42 = 11*13*q + 42..so we have to m... | 90,210 |
<|im_start|>user
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 244 passengers. Find the no of passengers in the beginning?
Answer C... | 77,328 |
<|im_start|>user
A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 102 (B) 38 (C) 37 (D) 90 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 96,859 |
<|im_start|>user
In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
Answer Choices: (A) V and U (B) V and T (C) U and S (D) T and S (E) T and U<|im_end|>
<|im_start|>assistant
<think>
</think>
T and S should serve on A
The answer is D<|endoftext|> | 33,354 |
<|im_start|>user
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Answer Choices: (A) 450 (B) 200 (C) 250 (D) 300 (E) ... | 14,724 |
<|im_start|>user
If 10/b + 20/b + 30/b is an integer, which of the following must also be an integer?
Answer Choices: (A) 20/b (B) b/16 (C) 60/b (D) 4b (E) 4+b<|im_end|>
<|im_start|>assistant
<think>
</think>
If 10/b + 20/b + 30/b; then (10+20+30)/b is also integer.
i.e. 60/b is an integer.
The answer is C<|endoftext... | 85,917 |
<|im_start|>user
There are 48 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Answer Choices: (A) 1) 4 (B) 2) 7 (C) 3) 17 (D) 4) 18 (... | 60,001 |
<|im_start|>user
Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 5+15 = ??
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
15
The answer is E<|endoftext|> | 37,719 |
<|im_start|>user
Excluding the stoppages, the speed of a bus is 32 km/hr and including the stoppages the speed of the bus is 16 km/hr. For how many minutes does the bus stop per hour?
Answer Choices: (A) 15 min (B) 10 min (C) 12 min (D) 30 min (E) 18 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the b... | 91,331 |
<|im_start|>user
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Answer Choices: (A) 20000 (B) 22000 (C) 23090 (D) 24000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</thin... | 45,171 |
<|im_start|>user
200 liters of a mixture contains milk and water in the ratio 4:1. If 20 liters of this mixture be replaced by 20 liters of milk, the ratio of milk to water in the new mixture would be?
Answer Choices: (A) 6:1 (B) 1:6 (C) 2:3 (D) 3:2 (E) 4:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Quantity of... | 13,371 |
<|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.
Temperature can be written with units of degrees Fahrenheit (°F) or Celsius (°C). Use the list be... | 1,981 |
<|im_start|>user
Find the length of the wire required to go 14 times round a square field containing 5625 m2.
Answer Choices: (A) 15840 (B) 3388 (C) 4200 (D) 8766 (E) 66711<|im_end|>
<|im_start|>assistant
<think>
</think>
a2 = 5625 => a = 75
4a = 300
300 * 14 = 4200
The answer is C<|endoftext|> | 71,030 |
<|im_start|>user
The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score.
Answer Choices: (A) 172 (B) 173 (C) 174 (D) 175 (E) None of the above<|im_end|>
<|im_start|>assistant
<thin... | 48,082 |
<|im_start|>user
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 4?
Answer Choices: (A) -1 (B) 0 (C) 5 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 4
= x2(x - 2)2 + 4
= (1 + √2)2(1 + √2 - 2)2 + 4
=(√2 + 1)2 (√2 - 1)2 + 4
=[(√2)2 - (1... | 56,480 |
<|im_start|>user
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference?
Answer Choices: (A) 10 feet (B) 12 feet (C) 27 feet (D) 15 feet (E) 18 feet<|im_end|>
<|im_start... | 89,271 |
<|im_start|>user
What is the smallest integer c for which 27^c> 3^24?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
27^c> 3^24
Converting into the same bases:
27^c> 27^8
Therefore for the equation to hold true, c > 8 or c= 9
Option C
The answer is C<|endoftext|> | 37,269 |
<|im_start|>user
A certain restaurant offers 7 different salads, 5 different main courses, and 6 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Answer Choices: (A) 125 (B) 275 (C) 525 (D) 600 (E) 1200<|im_end|>
<|im_s... | 9,035 |
<|im_start|>user
Half of the neurons formed in the embryo are eliminated because of _____________
Answer choice: (A) competition (B) cell death (C) disease (D) contraction<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 3,188 |
<|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... | 166 |
<|im_start|>user
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 30 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra... | 43,639 |
<|im_start|>user
1, 5, 13, 25, 41, ?
Answer Choices: (A) 61 (B) 56 (C) 74 (D) 57 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
The pattern is + 4, + 8, + 12, + 16, +20
The answer is A<|endoftext|> | 35,550 |
<|im_start|>user
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 50 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 40 km/h. If the distance between City P and City Q is 230 km, at what time will the truck and the car meet each ... | 26,928 |
<|im_start|>user
If the integer n has exactly four positive divisors, including 1 and n, how many positive divisors does n^3 have?
Answer Choices: (A) 16 (B) 11 (C) 10 (D) 20 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
take the example of 6...
it has 4 positive divisors (1,2,3,4)
Now, take the example of 2... | 39,384 |
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