text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A natural resource that is consumed or used up faster than it can be made by nature is termed what?
Answer choice: (A) non-renewable (B) renewable (C) energy-inefficient (D) fossil fuel<|im_end|>
<|im_start|>assistant
<think>
</think>
A nonrenewable resource is a natural resource that is consumed or ... | 4,733 |
<|im_start|>user
What is the temperature where molecular motion stops?
Answer choice: (A) Absolute Freezing (B) Final Zero (C) mean zero (D) absolute zero<|im_end|>
<|im_start|>assistant
<think>
</think>
Absolute zero is the temperature where molecular motion stops and is the lowest possible temperature.
The answer i... | 2,687 |
<|im_start|>user
How many numbers from 29 to 79 are exactly divisible by 11?
Answer Choices: (A) 1 (B) 2 (C) 6 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Numbers=(79/11)-(29/11)
=7-2
=5 numbers
The answer is E<|endoftext|> | 73,677 |
<|im_start|>user
What is the rotational equivalent of a force?
Answer choice: (A) momentum (B) power (C) centripetal force (D) torque<|im_end|>
<|im_start|>assistant
<think>
</think>
The magnitude, direction, and point of application of the force are incorporated into the definition of the physical quantity called to... | 7,687 |
<|im_start|>user
When n is divided by 32, the remainder is 5. What is the remainder when 4n is divided by 8?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n=5 (leaves a remainder of 5 when divided by 32)
4n = 4(5) =20, which leaves a remainder of 4 when divided by ... | 51,485 |
<|im_start|>user
The sum of two numbers is 29 and the difference of their squares is 145. The difference between the number is
Answer Choices: (A) 13 (B) 5 (C) 8 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be x and y.
We know that,
(x−y)=x2−y2/(x+y)
=145/29=5
Correct Op... | 11,701 |
<|im_start|>user
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Answer Choices: (A) 40.98% loss (B) 20.98% loss (C) 60.98% loss (D) 50.98% loss (E) 10.98% loss<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
81 ---- 17
100 ----- ? è 20.98%loss
The answe... | 39,039 |
<|im_start|>user
Each of the numbers x1, x2...., xn, n > 4, is equal to 1 or –1.
Suppose, x1x2x3x4 + x2x3x4x5 + x3x4x5x6 + ... + xn–3xn–2xn–1xn + xn–2xn–1xnx1 + xn–1xnx1x2 + xnx1x2x3= 0, then,
Answer Choices: (A) n is even (B) n is odd. (C) n is an odd multiple of 3. (D) n is prime (E) None<|im_end|>
<|im_start|>assist... | 57,712 |
<|im_start|>user
In how many ways can be 4 boys and 4 girls sit around circular table so that no two boys sit next to each other?
Answer Choices: (A) (5!) ^2 (B) (6!) ^2 (C) 3!4! (D) 11! (E) (5!) ^2*6!<|im_end|>
<|im_start|>assistant
<think>
</think>
first fix one boy and place other 3 in alt seats so total ways is 3... | 45,120 |
<|im_start|>user
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 840?
Answer Choices: (A) 15 (B) 48 (C) 64 (D) 84 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
n includes t... | 23,254 |
<|im_start|>user
The average earning of amechanic for the first 4days of a week is Rs.60 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
Answer Choices: (A) s. 10 (B) s. 44 (C) s. 30 (D) s. 40 (E) s. 50<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 31,607 |
<|im_start|>user
Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?
Answer Choices: (A) x^2 (B) x^2+2 (C) x^2 +4 (D) x^2+9 (E) x^2+4x<|im_end|>
<|im_start|>assistant
<think>
</think>
Avg = [(x+3)^2 + (x-3)^2] / 2
Expanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2... | 89,847 |
<|im_start|>user
What shape rash is formed from a skin infection caused by trichophyton?
Answer choice: (A) ring-shaped (B) striped (C) polka dot (D) rod-shaped<|im_end|>
<|im_start|>assistant
<think>
</think>
skin infection caused by the fungus Trichophyton that causes a characteristic ring-shaped rash.
The answer i... | 6,810 |
<|im_start|>user
The sum of the ages of 4 children born at the intervals of 3 years each is 36 years. what is the age of the youngest child ?
Answer Choices: (A) 22 (B) 18 (C) 4.5 (D) 99 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x = the youngest child. Each of the other four children will then be x+... | 45,213 |
<|im_start|>user
If n is an integer and 5^n > 40,000,000, what is the least possible value of n?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
When you seperate the 40000000 into factors of 5 and 2 you get - > 10^7 x 2^2 = 5^7 x 2^9
2 to the ^ 9 = 512 so its 512 x 5^... | 88,153 |
<|im_start|>user
A husband and wife can complete a certain task in 2 and 3 hours respectively. Their children, Rae and Herman, can complete the same task in 4 and 6 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the t... | 56,112 |
<|im_start|>user
Express a speed of 342 kmph in meters per second?
Answer Choices: (A) 10 mps (B) 59 mps (C) 79 mps (D) 90 mps (E) 19 mps<|im_end|>
<|im_start|>assistant
<think>
</think>
342 * 5/18 = 90 mps
The answer is D<|endoftext|> | 79,033 |
<|im_start|>user
ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?
Answer Choices: (A) 12 (B) 9√3 (C) 9 (D) 8 (E) 3√3<|im_end|>
<|im_start|>assistant
<think>
</think>
So, BC = BD = CD = BA = AD = 2
The parallelogram has 4 equal sides
BC = CD = BA = ... | 74,647 |
<|im_start|>user
One hour after Matthew started waking from t to y, a distance of 45km, Johnny started walking along the same road from y to t. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
Answer Choices: (A) 24 (B) 23 (C) 22 (D) 21 (E) 19.5<|im_en... | 83,549 |
<|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.2700. How much third person will get?
Answer Choices: (A) 2400 (B) 2429 (C) 2980 (D) 1200 (E) 2872<|im_end|>
<|im_start|>ass... | 737 |
<|im_start|>user
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
Answer Choices: (A) 64 (B) 36 (C) 52 (D) 86 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
We may have (1 black and 2 non ... | 51,659 |
<|im_start|>user
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned ... | 92,614 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Gravitational potential energy is stored between any two objects. So, for every object on or near Earth, there is gravitational potential energy stored between the object and Earth.
The amount of gravitational potential ener... | 3,184 |
<|im_start|>user
In a question on division with zero remainder, a candidate took 20 as divisor instead of 10. The quotient obtained by him was 35. The correct quotient is?
Answer Choices: (A) A) 70 (B) B) 24 (C) C) 28 (D) D) 29 (E) E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Number = (35 * 20) = 700
Correc... | 53,193 |
<|im_start|>user
Through this process, algae provide glucose for the ecosystem?
Answer choice: (A) photosynthesis (B) spermatogenesis (C) glycolysis (D) GLUCOPHAGE<|im_end|>
<|im_start|>assistant
<think>
</think>
In a marine ecosystem, algae are the producers. Through photosynthesis, they provide glucose for the ecos... | 6,836 |
<|im_start|>user
-54x29+100=?
Answer Choices: (A) -1466 (B) 2801 (C) -2801 (D) -2071 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given exp.=-54x(30-1)+100
=-(54x30)+54+100
=-1620+154
=-1466
The answer is A<|endoftext|> | 72,402 |
<|im_start|>user
How many stars are in our solar system?
Answer choice: (A) two (B) none (C) three (D) one<|im_end|>
<|im_start|>assistant
<think>
</think>
Our solar system has only one star. But many stars are in systems of two or more stars. Two stars that orbit each other are called a binary star system . If more ... | 4,229 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
The protean nature of the diseas... | 5,332 |
<|im_start|>user
The number of meters in BB is equal to the square root of the number of centimeters in BB. What is the length of BB (1 meter=100 centimeters)?
Answer Choices: (A) 100 meters (B) 10 meters (C) 100 centimeters (D) 10 centimeter (E) 1 centimeter<|im_end|>
<|im_start|>assistant
<think>
</think>
I'd plug ... | 64,293 |
<|im_start|>user
When positive integer V is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Answer Choices: (A) a. k + 1 (B) b. k -11 (C) c. 4k + 2 (D) d. (k-3) /3 +2 (E) e. V/3<|im_end|>
<|im_start|>assistant
<think>
</think>
When positive integer V is divided by 6 the remainder is... | 21,127 |
<|im_start|>user
How many methods are possible for arranging 5 boys and 4 girls in such a way that no 2 girls could sit together?
Answer Choices: (A) 43200 (B) 43700 (C) 44200 (D) 53200 (E) 33200<|im_end|>
<|im_start|>assistant
<think>
</think>
The arrangement can be done as below
X..B..X..B...X..B...X..B...X..B..X
w... | 86,592 |
<|im_start|>user
Two sides of a certain triangle have lengths 3 and 4 respectively, which of the following could be the length of the third side of the triangle?
I. 0
II. 10
III. 2
Answer Choices: (A) I only (B) II only (C) III only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>... | 77,309 |
<|im_start|>user
If p is a positive integer and 10p/96 is an integer, then the minimum number ofuniqueprime factors p could have is H:
Answer Choices: (A) H=1 (B) H=2 (C) H=3 (D) H=4 (E) H=5<|im_end|>
<|im_start|>assistant
<think>
</think>
10p/96 should resolve to a integer => 5p/48 should resolve to an integer.
Henc... | 67,538 |
<|im_start|>user
The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Answer Choices: (A) 3:9 (B) 3:6 (C) 3:1 (D) 3:4 (E) 3:2<|im_end|>
<|im_start|>assistant
<th... | 52,980 |
<|im_start|>user
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Answer Choices: (A) 228 m (B) 150 m (C) 276 m (D) 255 m (E) 212 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)... | 63,457 |
<|im_start|>user
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.140 where as B does not. In what ratio should they divide the second year's profit?
Answer Choices: (A) 8:7 (B) 7:5 (C) 1:3 (D) 8:7 (E) 9:10<|im_end|>
<|im_start|>assi... | 19,390 |
<|im_start|>user
Which of the following is satisfied with |x-4|+|x-3|<5?
Answer Choices: (A) 1<x<6 (B) 2<x<5 (C) 2.5<x<4.5 (D) 2.5<x<4 (E) 3<x<4<|im_end|>
<|im_start|>assistant
<think>
</think>
--> If there is addition when there are 2 absolute values, you can just ignore the middle. That is, |x-4|+|x-3|<5-> |x-4+x-3... | 5,399 |
<|im_start|>user
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Answer Choices: (A) 14 (B) 17 (C) 19 (D) 22 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x year... | 75,586 |
<|im_start|>user
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 637, Krishan has ?
Answer Choices: (A) s. 2890 (B) s. 2330 (C) s. 3757 (D) s. 1620 (E) s. 2680<|im_end|>
<|im_start|>assistant
<think>
</think>
Ram : Gopal = 7 : 17 = 49 : 119
Gopal : Krishan = 7 ... | 65,176 |
<|im_start|>user
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 8 minutes 48 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Answer Choices: (A) 3% (B) 5% (C) 8%... | 61,846 |
<|im_start|>user
If the average of 10x and 8y is greater than 70, and x is twice y, what is the least integer value of x ?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Substitution can be used in the following way:
Always start with the equation: x = 2y. It is mo... | 66,386 |
<|im_start|>user
Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
Answer Choices: (A) 6 km (B) 8 km (C) 9 km (D) 11 km (E) 12 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let total distance =D=D
Distance travelled at 4 kmph speed... | 2,790 |
<|im_start|>user
In a jar there are 20 white balls, 24 green balls and 32 blue balls. How many balls must be taken out in order to make sure we have 22 balls of the same color?
Answer Choices: (A) a) 23 (B) b) 46 (C) c) 57 (D) d) 63 (E) e) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, we need to find... | 74,202 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Burning a piece of p... | 5,223 |
<|im_start|>user
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 12 hours of the journey.
Answer Choices: (A) 342 km (B) 352 km (C) 642 km (D) 742 km (E) 492 km<|im_end|>
<|im_start|>assistan... | 43,730 |
<|im_start|>user
What do you get if you add 3 to 989 five times?
Answer Choices: (A) 902 (B) 990 (C) 678 (D) 992 (E) 309<|im_end|>
<|im_start|>assistant
<think>
</think>
D
992 , 992 , 992 , 992 , 992
The answer is D<|endoftext|> | 90,776 |
<|im_start|>user
If p,q ,and r are positive real numbers such that p(q+r) = 152, q(r+p) =162 , and r(p+q) = 170, then pqr is
Answer Choices: (A) a) 672 (B) b) 688 (C) c) 704 (D) d) 720 (E) e) 750<|im_end|>
<|im_start|>assistant
<think>
</think>
pq+pr = 152 --------------------------------------1)
qr+qp = 162----... | 50,169 |
<|im_start|>user
If a town of 25,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
Answer Choices: (A) 26000 (B) 27000 (C) 28000 (D) 29000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</think>
Let population in the beginning = 100
at the end of 1st ... | 58,695 |
<|im_start|>user
Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 80 miles apart. One and a half hours later, they are again 80 miles apart, driving away from each other. If Otto drives at a speed of m miles per hour, ... | 38,335 |
<|im_start|>user
What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58?
Answer Choices: (A) 3944 (B) 2882 (C) 2999 (D) 2667 (E) 1392<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the side of the square plot be a ft.
a2 ... | 64,094 |
<|im_start|>user
In how many ways the letters of the word RAIXBON be arranged?
Answer Choices: (A) 2476 (B) 4432 (C) 3532 (D) 5040 (E) 7349<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways of arranging the letters = 7! = 5040 ways.
D)
The answer is D<|endoftext|> | 65,205 |
<|im_start|>user
If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much percent should he reduce the quantity of gasoline that he buys?
Answer Choices: (A) 6.66% (B) 8% (C) 10% (D) 12% (E) 12.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let price of original p... | 92,897 |
<|im_start|>user
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability th... | 60,973 |
<|im_start|>user
How many 4 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITHOUT REPETITION)
Answer Choices: (A) 216 (B) 3152 (C) 240 (D) 600 (E) 168<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisibilty rule for 3: Sum of all digits is a multiple of 3
Selections fo... | 53,942 |
<|im_start|>user
What is the least value of x. So that 24x57 is divisible by 3.
Answer Choices: (A) 2 (B) 0 (C) 1 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 4 + x + 5 + 7 = 18 + x
Least value of... | 70,478 |
<|im_start|>user
If the product of two numbers is 62216 and their H.C.F. is 22, find their L.C.M.
Answer Choices: (A) 2828 (B) 2850 (C) 1365 (D) 1574 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF * LCM = 62216, because we know
Product of two numbers = Product of HCF and LCM
LCM =... | 65,258 |
<|im_start|>user
The average age of 25 students in a class is 12years. If teacher's age is also included then average increases 1year then find the teacher's age?
Answer Choices: (A) 40 (B) 35 (C) 29 (D) 38 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
Total age of 25 students = 25*12 = 300
Total age of 26 ... | 5,862 |
<|im_start|>user
What technology do scientists use to create models?
Answer choice: (A) calculators (B) patterns (C) microscopes (D) computers<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientists create models with computers. Computers can handle enormous amounts of data. This can more accurately represent the... | 5,237 |
<|im_start|>user
Two sets of 3 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Answer Choices: (A) 4 (B) 7 (C) 6 (D) 12 (E) it cannot be determined from the information given.<|im... | 44,294 |
<|im_start|>user
In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr?
Answer Choices: (A) 2.5 sec (B) 4.25 sec (C) 5 sec (D) 12.5 sec (E) 3 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 144 * 5/18 = 40 m/sec
Time taken = 120/40 = 3.0 sec.
The answer is E<|endoftext|> | 59,578 |
<|im_start|>user
Group 15 of the periodic table is also called which group?
Answer choice: (A) oxygen (B) nitrogen (C) potassium (D) hydrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
Group 15 of the periodic table is also called the nitrogen group. The first element in the group is the nonmetal nitrogen (N), ... | 6,547 |
<|im_start|>user
How many of the integers between 25 and 95 are even ?
Answer Choices: (A) 35 (B) 90 (C) 11 (D) 10 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Number start between 25 to 95 is 70 numbers
half of them is even..which is 35
The answer is A<|endoftext|> | 41,860 |
<|im_start|>user
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Answer Choices: (A) Rs.460/- (B) Rs.480/- (C) Rs.500/- (D) Rs.520/- (E) Rs.540/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
O... | 56,652 |
<|im_start|>user
Complete the numerical series by replacing the question mark with the correct numbers.
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
9+5+5 = ??????
Answer Choices: (A) 454585 (B) 454583 (C) 456685 (D) 454588 (E) 456585<|im_end|>
<|im_start|>assistant
<think>
</think>
A
454585
Explanatio... | 87,731 |
<|im_start|>user
Let Q represent a set of five distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Q = p1+p2+p3+p4+p5 = even (and all p... | 27,376 |
<|im_start|>user
There are 2 sections A and B in a class, consisting of 16 and 14 students respectively. If the average weight of section A is 20kg and that of section B is 25kg, Find the average of the whole class?
Answer Choices: (A) 33.5kg (B) 37.25kg (C) 42.45kg (D) 55.12kg (E) 29.78kg<|im_end|>
<|im_start|>assista... | 77,262 |
<|im_start|>user
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the result will not be 2 blue and 2 purple marbles?
Answer Choices: (A) 4/33 (B) (5/36) ^2 (C) 1/2 (D) (31/36) ^2 (E) 29/33<|im_end|>
<|im_start|>assistant
<t... | 14,617 |
<|im_start|>user
If y exceeds x by 25%, then x is less than y by?
Answer Choices: (A) 28% (B) 21% (C) 20% (D) 30% (E) 29%<|im_end|>
<|im_start|>assistant
<think>
</think>
X=100 y=125
125--------25
100--------? => 20%
The answer is C<|endoftext|> | 88,817 |
<|im_start|>user
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Answer Choices: (A) 1211 (B) 1218 (C) 1210 (D) 1212 (E) 1229<|im_end|>
<|im_start|>assistant
<think>
</think>
π (232 – 122)
= 1210
The answer is C<|endoftext|> | 51,648 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Is the following statement true or false?
The cell membrane is the outermost layer in a plant cell.
Answer Choices: (A) false (B) true<|im_end|>
<|im_start|>assistant
<think>
</think>
The cell membrane is the o... | 3,812 |
<|im_start|>user
Machine–A produces 50% of the total output and Machine-B produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 250 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the tota... | 73,596 |
<|im_start|>user
If 6/w + 6/x = 6/y and wx = y, then the average (arithmetic mean) of w and x is
Answer Choices: (A) 1/2 (B) 1 (C) 2 (D) 4 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: 6/w + 6/x = 6/ywx=y
Find: (w+x)/2 = ?
6(1/w + 1/x) = 6(1/y) - divide both sides by 6
(1/w + 1/x) = 1/y
(x+w)/wx = 1/w... | 18,407 |
<|im_start|>user
The average of numbers 0.34204, 0.34203, 0.34202 and 0.34201 is ?
Answer Choices: (A) 0.34202 (B) 0.34204 (C) 0.342022 (D) 0.342025 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Average = (0.34204 + 0.34203 + 0.34202 + 0.34201)/ 4
=1.3681/ 4
=0.342025
Correct Option: D
The answer i... | 87,525 |
<|im_start|>user
If r and h are two positive integers and r/h = 1.60, then r can equal which one of the following?
Answer Choices: (A) 9 (B) 24 (C) 20 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
r/h = 1.60 = 160/100 = 8/5
So, r COULD equal 24
The answer is B<|endoftext|> | 27,386 |
<|im_start|>user
The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle ... | 91,874 |
<|im_start|>user
If n is a multiple of 5, n=p^2q, where p and q are prime numbers. Which of the following must be a multiple of 25?
Answer Choices: (A) p^2 (B) q^2 (C) pq (D) p^2q^2 (E) p^3q<|im_end|>
<|im_start|>assistant
<think>
</think>
You are given that n = p^2 * q, which is a multiple of 5. Therefore p^2 * q is... | 29,533 |
<|im_start|>user
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Answ... | 418 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 5,442 |
<|im_start|>user
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Answer Choices: (A) 422 (B) 476 (C) 429 (D) 428 (E) 413<|im_end|>
<|im_start|>assistant
<think>
</think>
3 1/2 * 8 1/2 = 1/4 * 1/4 * x =>... | 67,491 |
<|im_start|>user
2 minute is taken to travel the diagonal of square field at 3km/hour.calculate the area of field?
Answer Choices: (A) 25 are (B) 30 are (C) 50 are (D) 60 are (E) 45 are<|im_end|>
<|im_start|>assistant
<think>
</think>
speed of man=[3*5/18] m/sec.=5/6 m/sec., distance travel in 2 minute={5/6*2*60} m.=... | 62,776 |
<|im_start|>user
Total of ages of A,B and C at present is 90 years. If ratio of this ages is 3 : 3 : 4 what will be the age of C after 5 years?
Answer Choices: (A) 45 years (B) 42 years (C) 40 years (D) 41 years (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
3+3+4=10
4*(90/10)=36yrs
after 5yrs... | 77,763 |
<|im_start|>user
A rower can row upstream at 15 kph and downstream at 35 kph. What is the speed of the rower in still water?
Answer Choices: (A) 22 (B) 23 (C) 24 (D) 25 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Let V be the rower's speed in still water.
Let S be the speed of the current in the stream
V-... | 83,491 |
<|im_start|>user
What term is used to describe a solution in which water is the solvent?
Answer choice: (A) liquids solution (B) hydro solution (C) sediment solution (D) aqueous solution<|im_end|>
<|im_start|>assistant
<think>
</think>
Solutions We have previously defined solutions as homogeneous mixtures, meaning th... | 2,953 |
<|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 ... | 5,069 |
<|im_start|>user
One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 1 miles per hour and Bobâs was 2 miles per hour, how many miles had Bob walked when they met?
Answer Choices: (A) 19 (B) 20 (C) 22 (D) 21 (E) 19... | 44,917 |
<|im_start|>user
What is characterized by uncontrolled cell division of abnormal cells?
Answer choice: (A) radiation (B) concussions (C) hepatitis (D) cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
cell depletion, organ system failure, and impaired tissue injury responses. Telomerase reactivation in these mi... | 3,861 |
<|im_start|>user
Sandy can do a job in 21 days and Molly can do the same job in 42 days. If they work together, in how many days will they complete the job?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Sandy can do 1/21 of the job each day.
Molly can do 1/42 of th... | 44,012 |
<|im_start|>user
Fence X is twice as long as fence Y, and fence Y is 1 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 1 feet shorter than Z.
III) X is longer than Z.
Answer Choices: (A) I only (B) II only (C) III only (D) II and I... | 79,105 |
<|im_start|>user
In a transverse wave, the highest point the wave reaches is known as the?
Answer choice: (A) flow (B) valley (C) crest (D) axis<|im_end|>
<|im_start|>assistant
<think>
</think>
In a transverse wave, particles of the medium move up and down at right angles to the direction of the wave. Wave amplitude ... | 9,312 |
<|im_start|>user
Two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Answer Choices: (A) 72 sec (B) 132 sec (C) 192 sec (D) 273.6 sec (E) None<|im_end|>
<|im_start|>assistan... | 60,861 |
<|im_start|>user
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?
Answer Choices: (A) 60... | 66,988 |
<|im_start|>user
Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is:
Answer Choices: (A) Rs 200 (B) Rs 300 (C) Rs 400 (D) Rs 500 (E) Rs 600<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4... | 17,451 |
<|im_start|>user
In 19 years time the combined ages of my three brothers will be 94. What will it be in nine years time?
Answer Choices: (A) 45 (B) 62 (C) 82 (D) 97 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
C
82
Combined age in 9 years time will 94 – (3 x (13 – 9))
94 – 12 = 82.
The answer is C<|endofte... | 71,847 |
<|im_start|>user
Wich disorder arises when defective valves allow blood to accumulate within the veins?
Answer choice: (A) varicose veins (B) vascular disease (C) bulging veins (D) cataracts veins<|im_end|>
<|im_start|>assistant
<think>
</think>
Edema may be accompanied by varicose veins, especially in the superficia... | 4,885 |
<|im_start|>user
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 11/15 Find P(A|B)
Answer Choices: (A) 11/4 (B) 2/3 (C) 3/2 (D) 4/5 (E) 4/7<|im_end|>
<|im_start|>assistant
<think>
</think>
P(A|B) = P(A ∪ B)/P(B)
P(A|B) = (11/15)/(4/15) = 11/4.
A
The answer is A<|endoftext|> | 30,014 |
<|im_start|>user
A train 75 metres long overtook a man who was walking at the rate of 6 km/h and passed him in 18 seconds. Again, the train overtook a second person in 15 seconds. At what rate was the second person travelling ?
Answer Choices: (A) 3 km/h (B) 2.5 km/h (C) 4 km/h (D) 1.5 km/h (E) None of these<|im_end|>
... | 69,977 |
<|im_start|>user
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 50% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Answer ... | 55,796 |
<|im_start|>user
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Answer Choices: (A) 4830 (B) 5120 (C) 6420 (D) 8960 (E) None<|im_end|>
<|im_start|>assista... | 81,566 |
<|im_start|>user
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Answer Choices: (A) 20% (B) 50% (C) 60% (D) 70% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 -... | 57,036 |
<|im_start|>user
A shopkeeper purchased 80 kg of potatoes for Rs. 550 and sold the whole lot at the rate of Rs. 9 per kg. What will be his gain percent?
Answer Choices: (A) 22.6 % (B) 30.9 % (C) 35.6 % (D) 39.5% (E) 23.6 %<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. of 1 kg = 550/80 = Rs. 6.875
S.P. of 1 kg... | 41,468 |
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