text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
What is the area of a square field whose diagonal of length 22 m?
Answer Choices: (A) 300 sq m (B) 220 sq m (C) 200 sq m (D) 400 sq m (E) 800 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
d2/2 = (22 * 22)/2 = 220
The answer is B<|endoftext|> | 96,895 |
<|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... | 2,558 |
<|im_start|>user
If q>0, which of the following must be true?
Answer Choices: (A) 1 <q (B) 0 < q < 2 (C) -1 < q < 1 (D) -10 < q (E) 1/100 < q<|im_end|>
<|im_start|>assistant
<think>
</think>
All we know is that q is some positive number. Right away we can see that D must be true: if q is positive then it MUST be true... | 69,114 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 327 (B) 280 (C) 277 (D) 216 (E) 287<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(85/100) =... | 47,230 |
<|im_start|>user
A car takes 3hrs less than a truck to cover the distance frm Bombay to pune(192 km). The speed of the truck is 16km/hr slower than car.Find the speed of the car?
Answer Choices: (A) 40.38 (B) 38.38 (C) 41.3 (D) 48 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of car = x km/hrs... | 41,977 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 4,049 |
<|im_start|>user
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 14, how many multiples of 7 are there in Q?
Answer Choices: (A) 20 (B) 19 (C) 18 (D) 17 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets Q's first number be 1... | 89,917 |
<|im_start|>user
John spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $4 cheaper than the large Monkey dolls, he could buy 40 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
Answer Choices: (A) $7.2 (B) $7.5 (C) $8 (D) $9 (E) $10<|i... | 64,788 |
<|im_start|>user
Virginia, Adrienne, and Dennis have taught history for a combined total of 87 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?
Answer Choices: (A) 23 (B) 32 (C) 38 (D) 41 (E) 44<|im_end|>
<|im_start|>assistant
<th... | 65,673 |
<|im_start|>user
The numerator of a fraction is 1 less than twice the denominator. If the numerator and denominator are both increased by \
1, the fraction becomes 3/5. Find the fraction?
Answer Choices: (A) A) 5/3 (B) B) 3/5 (C) C) 4/7 (D) D) 5/9 (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ... | 63,906 |
<|im_start|>user
E is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can E be?
Answer Choices: (A) 300,000 (B) 349,999 (C) 350,000 (D) 399,999 (E) 400,000<|im_end|>
<|im_start|>assistant
<think>
</think>
E 1,000,000-300,000=700,000 integers
700,000/2= 350,000 even integers.
350,000+... | 44,595 |
<|im_start|>user
Ms. Adams sold two properties, X and Y, for $30,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Answer Choices: (A) Loss of $1,250 (... | 16,177 |
<|im_start|>user
The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach?
Answer Choices: (A) 31 kg (B) 61 kg (C) 60 kg (D) 62 kg ... | 12,086 |
<|im_start|>user
Find the smallest number which should be multiplied with 13225 to make it a perfect square.
Answer Choices: (A) 25 (B) 5 (C) 1 (D) 23 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
13225 = 5*5*23*23
Required smallest number = 1
1 is the smallest number which should be multiplied with 13225 to... | 64,224 |
<|im_start|>user
The perimeter of one face of a cube is 32 cm. Its volume will be:
Answer Choices: (A) 125cm3 (B) 400cm3 (C) 512cm3 (D) 625cm3 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Edge of cude = 32/4 = 8 cm
Volume = a*a*a = 8*8*8 = 512 cm cube
Option C
The answer is C<|endof... | 63,173 |
<|im_start|>user
Animals that have feeding patterns that are somewhere between that of herbivores and carnivores can be called what?
Answer choice: (A) insectivores (B) omnivores (C) nematodes (D) megavores<|im_end|>
<|im_start|>assistant
<think>
</think>
34.1 | Digestive Systems By the end of this section, you will ... | 5,892 |
<|im_start|>user
What is happening to the rate of the expansion of the universe?
Answer choice: (A) it is decreasing (B) it is increasing (C) it is stable (D) it is unknown<|im_end|>
<|im_start|>assistant
<think>
</think>
The rate of the expansion of the universe is increasing. The cause of this increase is unknown; ... | 7,571 |
<|im_start|>user
A grocer has 400 pounds of coffee in stock, 30 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Answer Choices: (A) 28% (B) 30% (C) 36% (D) 36% (E) 40%<|im_... | 63,697 |
<|im_start|>user
A coin is tossed live times. What is the probability that there is at the least one tail?
Answer Choices: (A) 31/32 (B) 31/38 (C) 31/30 (D) 31/37 (E) 31/31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= Ther... | 75,742 |
<|im_start|>user
If p^2 – 8p + 15 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
Answer Choices: (A) 1/10 (B) 1/5 (C) 2/5 (D) 3/5 (E) 3/10<|im_end|>
<|im_start|>assistant
<think>
</think>
(p-5)(p-3) = q
p = 4 for this to be true, so
1/10
The answer is A<|endoftext|> | 92,221 |
<|im_start|>user
3, 4.5, 6.75, 10.13, 15.18, (...)
Answer Choices: (A) 60 (B) 60.75 (C) 22.78 (D) 32.52 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
3
(3×3)÷ 2 = 4.5
(4.5×3)÷ 2 = 6.75
(6.75×3)÷ 2 = 10.13
(10.18×3)÷ 2 = 15.18
(15.18×3)÷ 2 = 60.75
The answer is C<|endoftext|> | 35,126 |
<|im_start|>user
X, Y and Z are inner angles in a triangle. If X= Y+ Z, what can't be the size of Y?
Answer Choices: (A) 30 DEGREES (B) 90 DEGREES (C) 60 DEGREES (D) 70 DEGREES (E) 950 DEGREES<|im_end|>
<|im_start|>assistant
<think>
</think>
Given X= Y+ Z, and X, Y and Z are inner angles in a triangle. Thus X+ Y+ Z= ... | 74,979 |
<|im_start|>user
If 5 + 7/X = 6 - 5/X, then X =
Answer Choices: (A) 7 (B) 14 (C) 12 (D) 6/7 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
We're given the equation 5 + 7/X = 6 - 5/X. We're asked for the value of X.
The common-denominator of these 4 numbers is X, so we need to multiply both sides of the equati... | 55,652 |
<|im_start|>user
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 8}. What is the probability that the median of the set will increase but the range still remains the same?
Answer Choices: (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5 (E) 0.6<|im_end|>
<|im_start|>assistant
<think>
</think>
We are sel... | 97,167 |
<|im_start|>user
At a school dance, 40% of the students had a date, 70% of the remaining students arrived at the dance with a group. What percentage of the students arrived alone?
Answer Choices: (A) 40% of the students arrived alone. (B) 10% of the students arrived alone. (C) 42% of the students arrived alone. (D) 18%... | 55,114 |
<|im_start|>user
48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 46% of respondents did not use M. 42% used N. What percent of respondents used only N?
Answer Choices: (A) 19.5% (B) 21.5% (C) 20% (D) 18.5% (E) 17.5%<|im_end|>
<|im_start|>assistant
<think>
</t... | 43,386 |
<|im_start|>user
In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
Answer Choices: (A) 15! /8! (B) 7! *8! (C) 15C7 *6! *7! (D) 2 * 15C7 *6! *7! (E) 15C8 *8!<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
'n' objects can be arranged around a circle ... | 70,383 |
<|im_start|>user
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
Answer Choices: (A) 20/6 days (B) 15/4 days (C) 40/9 days (D) 40/3 days (E) 45/7 days<|im_end|>
<|im_start|>assistant
<think>
</t... | 61,971 |
<|im_start|>user
From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:
Answer Choices: (A) 149 m (B) 156 m (C) 173 m (D) 200 m (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let AB be the... | 20,864 |
<|im_start|>user
Molds and casts usually form in which type of rock?
Answer choice: (A) igneous (B) metamorphic (C) sedimentary (D) crystalline<|im_end|>
<|im_start|>assistant
<think>
</think>
Molds and casts are another way organisms can be fossilized. A mold is an imprint of an organism left in rock. The organism's... | 6,792 |
<|im_start|>user
3889 + 12.952 - ? = 3854.002
Answer Choices: (A) 47.95 (B) 49.75 (C) 45.97 (D) 47.59 (E) 45.79<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 3889 + 12.952 - x = 3854.002.
Then x = (3889 + 12.952) - 3854.002
= 3901.952 - 3854.002
= 47.95.
The answer is A<|endoftext|> | 85,620 |
<|im_start|>user
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Answer Choices: (A) 323 (B) 377 (C) 344 (D) 239 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the four numbers be x, x + 2, x + 4 and x + 6.
=> x + x + 2 + x + 4 + x + 6 = 36
=> 4... | 7,236 |
<|im_start|>user
What in orange juice makes it taste sour?
Answer choice: (A) amino acid (B) acetic acid (C) citric acid (D) carbonation<|im_end|>
<|im_start|>assistant
<think>
</think>
Some solutions have special properties because they are acids. Orange juice is an example. It contains an acid called citric acid. I... | 11,644 |
<|im_start|>user
What kind of harm does a corrosive substance cause?
Answer choice: (A) Builds a crust (B) eats through objects (C) Attracts dust (D) Rust objects<|im_end|>
<|im_start|>assistant
<think>
</think>
If a substance is corrosive, it can eat through objects. Many scientists have to work with chemicals that ... | 5,007 |
<|im_start|>user
Rs.1560 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Answer Choices: (A) s.528 (B) s.542 (C) s.528 (D) s.720 (E) s.549<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 1560
4A = 3B = 2C = x... | 50,206 |
<|im_start|>user
A train 125 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Answer Choices: (A) 35 km/hr (B) 50 km/hr (C) 54 km/hr (D) 65 km/hr (E) 87 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 7,799 |
<|im_start|>user
John bought Blue and Pink recorder for pupils in his music class in the ratio of 6:4. If 40% of the Blue recorder and 60% of the pink recorder were bought at half price, how many recorders did John buy at half price?
Answer Choices: (A) 48% (B) 52% (C) 44% (D) 46% (E) 47%<|im_end|>
<|im_start|>assistan... | 14,753 |
<|im_start|>user
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is?
Answer Choices: (A) 4452 (B) 4445 (C) 4330 (D) 4334 (E) 4336<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisor = (5 * 42) = 210
= 10 * Quotient = Divisor
=> Quotient ... | 28,078 |
<|im_start|>user
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number... | 38,350 |
<|im_start|>user
A team bought a total of 567 balls. If each player on the team bought at least 24 balls, then what is the greatest possible number of players on the team?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
567/24=23 plus remainder.
The answer is C<|end... | 91,805 |
<|im_start|>user
A pair of prime numbers that can be expressed in the form R{p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Answer Choi... | 82,302 |
<|im_start|>user
What part of a cell do proteins travel to to be modified for the specific job they will do?
Answer choice: (A) plasma membrane (B) lysosome (C) nucleus (D) golgi apparatus<|im_end|>
<|im_start|>assistant
<think>
</think>
After a polypeptide chain is synthesized, it may undergo additional processes. F... | 1,167 |
<|im_start|>user
Ram bought 50 books for Rs.1750 from one shop and 10 books for Rs.650 from another. What is the average price he paid per book ?
Answer Choices: (A) 28 (B) 18 (C) 27 (D) 29 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Average price per book
= (1750 + 650) / (50 +10)
= 2400/ 60
= Rs.40
The ... | 23,886 |
<|im_start|>user
52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Answer Choices: (A) 30.33 (B) 34.44 (C) 26.1 (D) 28.0 (E) 21.0<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the two parts be (52 - x) and x.
Then, 10 (5... | 84,116 |
<|im_start|>user
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 328 (B) 279 (C) 245 (D) 288 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be... | 75,600 |
<|im_start|>user
Researchers have also used insect courtship to explore genetic variation underlying differences in what?
Answer choice: (A) reproduction (B) function (C) behavior (D) instance<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 3,166 |
<|im_start|>user
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 400. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 410. What is the value of X?
Answer Choices: (A) 8000 (B) 6000 (C) 5000 (D) 4000 (E) 30... | 88,786 |
<|im_start|>user
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Answer Choices: (A) 270 (B) 288 (C) 266 (D) 299 (E) 126<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (72 - 36... | 43,456 |
<|im_start|>user
Find the greatest number that will divide 150, 230 and 175 leaving 50, 5 and 25 as remainders respectively
Answer Choices: (A) 19 (B) 17 (C) 32 (D) 9 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Answer will be HCF of (150-50, 230-5, 175-25)
HCF of (100, 225, 150) = 32
Option C
... | 21,373 |
<|im_start|>user
What is the smallest no. that should be added to 27452 to make it exactly divisible by 9?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 2+7+4+5+2=20, the next multiple ... | 69,132 |
<|im_start|>user
In a certain neighborhood, there are half as many beige houses as white houses, and four times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
Answer Choices: (A) 1:4 (B) 1:2 (C) 1:8 (D) 3:2 (E) 5:1<|im_end|>
<|im_start|>assistant
<th... | 83,292 |
<|im_start|>user
r = number of flags;n = number of poles;Any number of flags can be accommodated on any single pole.r= 5 n = 3 . If first pole has 2 flags ,third pole has 1 flag, how many ways the remaining can be arranged?
Answer Choices: (A) 4 ways (B) 5 ways (C) 7 ways (D) 8 ways (E) 6 ways<|im_end|>
<|im_start|>ass... | 69,539 |
<|im_start|>user
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Answer Choices: (A) 276 (B) 299 (C) 322 (D) 345 (E) 375<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger num... | 7,773 |
<|im_start|>user
In a certain group of 9 members, 3 members teach only French and the rest teach only Spanish or German. If the group is to choose 5-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Answer Choices: (A) 80 (B) 90 (C) 120 (D) 110 (E) 100<... | 56,374 |
<|im_start|>user
Think of a number, divide it by 6 and add 5 to it. The result is 17. What is the number thought of?
Answer Choices: (A) 24 (B) 72 (C) 297 (D) 267 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
17-5 = 12
12 x 6 = 72
The answer is B<|endoftext|> | 33,143 |
<|im_start|>user
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
Answer Choices: (A) 5 kmph (B) 4 kmph (C) 4.75 kmph (D) 4.95 kmph (E) 4.65 kmph<|im_end|>
<|im_start|>assistant
<think>
</think... | 6,941 |
<|im_start|>user
What are the two factors that affect the pressure of fluids?
Answer choice: (A) viscosity and gravity (B) depth and density (C) momentum and density (D) depth and decrease<|im_end|>
<|im_start|>assistant
<think>
</think>
Two factors that affect the pressure of fluids are depth and density. This expla... | 2,813 |
<|im_start|>user
By selling an umbrella for Rs. 200, a shop keeper gains 50%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Answer Choices: (A) 20 (B) 25 (C) 15 (D) 10 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Marked price = Rs.... | 77,018 |
<|im_start|>user
An amount of Rs.40,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Answer Choices: (A) 2378 (B) 2697 (C) 10000 (D) 5... | 70,506 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Answer Choices: (A) 298 (B) 268 (C) 800 (D) 266 (E) 226<|im_end|>
<|im_start|>assistant
<think>
</think>
25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200... | 29,445 |
<|im_start|>user
A, B and C shared profits in ratio of 5 : 7 : 6. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
Answer Choices: (A) 10 : 49 : 45 (B) 20 : 49 : 48 (C) 10 : 19 : 64 (D) 20 : 29 : 64 (E) 30 : 29 : 63<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 81,882 |
<|im_start|>user
Ratio of two numbers x and y is 7:9. If x is increased by 20% and y is increased by 33 then the new ratio becomes 1:5. What is the ratio 2y:(x+4)
Answer Choices: (A) 18:11 (B) 8:1 (C) 11:18 (D) 1:8 (E) 1:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let:
x = 7n
y = 9n
8.4n/(9n+33) = 1/5
42n = 9n... | 83,374 |
<|im_start|>user
Two trains leave the same train station at 6:00 am and 7:15 am and they travel at 100 kph and 125 kph respectively. How many kilometers from the train station will the two trains be together?
Answer Choices: (A) 525 (B) 550 (C) 575 (D) 600 (E) 625<|im_end|>
<|im_start|>assistant
<think>
</think>
At 7... | 37,659 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Select the one true statement.
Answer Choices: (A) Chromosomes store nutrients, water, and waste in an animal cell. (B) The vacuoles of an animal cell use sunlight to make sugar. (C) In a plant cell, the endoplas... | 6,424 |
<|im_start|>user
How many positive integers less than 50 have a reminder 01 when divided by 4?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers.
The answer is A<|endoftext|> | 34,947 |
<|im_start|>user
The roots of the equation x / (x + 2) + 3 / (x - 4) = (4x + 2) / (x 2 - 2x - 8) are
Answer Choices: (A) x = 4 and x = 1 (B) x = 4 only (C) x = 1 only (D) x = -4 only (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
We first note that
(x + 2)(x - 4) = x 2 - 2x - 8
We now multiply all terms of... | 70,276 |
<|im_start|>user
The income derived from a Rs. 100, 13% stock at Rs. 105, is :
Answer Choices: (A) Rs. 5 (B) Rs. 8 (C) Rs. 13 (D) Rs. 18 (E) Rs. 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Income on Rs. 100 stock = Rs. 13.
The answer is C<|endoftext|> | 84,006 |
<|im_start|>user
The sum of two numbers is 25 and their difference is 13. Find their product.
Answer Choices: (A) 104 (B) 114 (C) 315 (D) 325 (E) 335<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x and y.
Then x + y = 25 and x - y = 13.
x = 19; y = 6
xy = 19 * 6 = 114
The answer is B<|endoftext|... | 62,677 |
<|im_start|>user
What do puffer fish produce to protect itself?
Answer choice: (A) teeth (B) venom (C) enzymes (D) hormones<|im_end|>
<|im_start|>assistant
<think>
</think>
This odd-looking creature is a fish called a puffer fish. Like all fish, puffer fish are vertebrates. The puffer fish puffs up by rapidly filling... | 9,252 |
<|im_start|>user
What process joins two haploid gametes into a diploid zygote?
Answer choice: (A) fertilization (B) embryo (C) fusion (D) migration<|im_end|>
<|im_start|>assistant
<think>
</think>
Fertilization joins two haploid gametes into a diploid zygote.
The answer is A<|endoftext|> | 11,073 |
<|im_start|>user
If X^y denotes x raised to the power y, then find last two digit of
1507^3381+1457^3757
Answer Choices: (A) 64 (B) 65 (C) 66 (D) 75 (E) 84<|im_end|>
<|im_start|>assistant
<think>
</think>
1507^3381+1457^3757
=> 07^3381+57^3757
49^1690×7 + 49^1878 × 57
=> (100-51)^1690 ×7 + ( 100-51)^1878×57
=> 51^169... | 38,146 |
<|im_start|>user
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest... | 19,864 |
<|im_start|>user
The characteristic sound of a motorcycle buzzing by is an example of which effect?
Answer choice: (A) doppler effect (B) warp effect (C) coreolis effect (D) polar effect<|im_end|>
<|im_start|>assistant
<think>
</think>
17.4 Doppler Effect and Sonic Booms The characteristic sound of a motorcycle buzzi... | 7,576 |
<|im_start|>user
If n is an integer, then the least possible value of |35 - 6n| is?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 0 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
|35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6... | 62,767 |
<|im_start|>user
A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $35 more than that received by B, find the total amount shared by A, B and C.
Answer Choices: (A) $1360 (B) $125... | 23,528 |
<|im_start|>user
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability Q that the game will end after the fourth throw?
Answer Choices: (A) 1/16 (B) 3/32 (C) 1/8 (D) 3/16 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Another approach... | 12,642 |
<|im_start|>user
sunil start from home at 4 pm and reaches school everyday at 5pm to pick up his children.on saturday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 15min early.if speed of sunil is 35km/hr then for how many min did children walk? what i... | 81,331 |
<|im_start|>user
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 160, then the number of hens will be:
Answer Choices: (A) 22 (B) 23 (C) 24 (D) 20 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the number of hens be x and the number of cows be y.
Then... | 78,878 |
<|im_start|>user
find the next term 2,5,26...
Answer Choices: (A) 27 (B) 45 (C) 455 (D) 555 (E) 677<|im_end|>
<|im_start|>assistant
<think>
</think>
2
2*2+1=5
5*5+1=26
26*26+1=677
ans=677
The answer is E<|endoftext|> | 56,410 |
<|im_start|>user
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seati... | 50,888 |
<|im_start|>user
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 76 sec (B) 67 sec (C) 98 sec (D) 36 sec (E) 23 sec<|im_end|>
<|im_start|>assistant
<t... | 23,681 |
<|im_start|>user
An alloy of copper and zinc contains copper and zinc in the ratio 6 : 4. Another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Answer Choices: (A) 12 : 1 (B) 1... | 81,707 |
<|im_start|>user
The ratio of the incomes of Uma and Bala is 4:3 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $5000 then the income of Uma is?
Answer Choices: (A) $24000 (B) $23000 (C) $22000 (D) $21000 (E) $20000<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income of U... | 96,759 |
<|im_start|>user
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Answer Choices: (A) 2: 7 (B) 2: 0 (C) 2: 4 (D) 2: 3 (E) 2: 1<|im_end|>
<|im_start|>assistant
<think>
</think>
80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3... | 92,551 |
<|im_start|>user
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Answer Choices: (A) 100 (B) 110 (C) 120 (D) 130 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 24,289 |
<|im_start|>user
Stacy was 5 days late returning items to the library. Stacy had checked out 40 books, 2 movies, and 3 magazines. Books are fined $0.25 per day, movies are fined $3.00 per day, and magazines are fined $0.50 per day. What is the average fine per item per day Stacy paid?
Answer Choices: (A) $0.25 (B) $0.3... | 34,683 |
<|im_start|>user
A pair of articles was bought for $50 at a discount of 20%. What must be the marked price of each of the article?
Answer Choices: (A) $25 (B) $31.25 (C) $29.65 (D) $35.95 (E) $45.62<|im_end|>
<|im_start|>assistant
<think>
</think>
S.P. of each of the article = 50/2 = $25
Let M.P = $x
80% of x = 25
x ... | 40,086 |
<|im_start|>user
Marco rode his dirt bike at 45 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of hi... | 58,081 |
<|im_start|>user
Adding two non multiples of Q always results in a multiple of Q; which of the following must be the value of Q ?
Answer Choices: (A) [A] two (B) [B] three (C) [C] five (D) [D] ten (E) [E] hundred<|im_end|>
<|im_start|>assistant
<think>
</think>
NON- multiples of 2 would always be ODD and sum of two o... | 38,833 |
<|im_start|>user
Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
Answer Choices: (A) 17:1 (B) 17:2 (C) 17:3 (D) 17:4 (E) 17:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Note... | 26,120 |
<|im_start|>user
Two pipes can fill a tank in 15 hours and 30 hours. While the 3rd pipe empties the full tank in 45hours. If all the 3 pipes are open in how much time will the tank be filled?
Answer Choices: (A) 15/72 (B) 88/12 (C) 75/16 (D) 90/11 (E) 57/10<|im_end|>
<|im_start|>assistant
<think>
</think>
Net part fi... | 24,695 |
<|im_start|>user
A person travelled from his house to office at 30km/hr and office to house at 70km/hr. Then find the average speed?
Answer Choices: (A) 30km/hr (B) 40km/hr (C) 42km/hr (D) 50km/hr (E) 62km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Average speed = (2*30*70)/(30+70)
= 42km/hr
The answer is C<... | 69,504 |
<|im_start|>user
A certain club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly L new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the follow... | 78,116 |
<|im_start|>user
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,00,000 as total savings, how much has he saved in Public Provident Fund ?
Answer Choices: (A) 80000 (B) 40000 (C) 50000 (D) 75000 (E) 90000<|im_end|>
<|im_start|>as... | 3,386 |
<|im_start|>user
If paint costs $3.20 per quart, and a quart covers 1200 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Answer Choices: (A) $ 1.60 (B) $ 16.00 (C) $ 96.00 (D) $108.00 (E) $196.00<|im_end|>
<|im_start|>assistant
<think>
</think>
total surface area = 6a^2 = 6*10*... | 345 |
<|im_start|>user
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.88. How much did the meal cost without the tip?
Answer Choices: (A) $28.98 (B) $29.91 (C) $30.15 (D) $31.20 (E) $30.85<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is a percent increase of 15%, w... | 28,722 |
<|im_start|>user
A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets... | 5,906 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Birds have feathers, two wings, and a beak.
Question:
Select the bird.
Answer Choices: (A) grass frog (B) arroyo toad (C) penguin (D) coral snake<|im_end|>
<|im_start|>assistant
<think>
</think>
A coral snake is a reptile... | 2,091 |
<|im_start|>user
60% of a number is added to 120, the result is the same number. Find the number?
Answer Choices: (A) 300 (B) 788 (C) 677 (D) 256 (E) 261<|im_end|>
<|im_start|>assistant
<think>
</think>
(60/100) * X + 120 = X
2X = 600
X = 300
The answer is A<|endoftext|> | 15,646 |
<|im_start|>user
A trolley which travels at a constant speed and can cover the platform of length 300m in two minute. How long it will take a train of length 200m and having a speed 60kph to pass the trolley?
Answer Choices: (A) 11.21 (B) 14.11 (C) 16.32 (D) 18.35 (E) 20.45<|im_end|>
<|im_start|>assistant
<think>
</th... | 39,021 |
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