text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
The H.C.F. of two numbers is 32 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Answer Choices: (A) 448 (B) 299 (C) 421 (D) 460 (E) 365<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, the numbers are (32 x 13) and (32 x 14).
Larger number = (32 x 1... | 62,245 |
<|im_start|>user
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder X when N is divided by 30?
Answer Choices: (A) (a) 4 (B) (b) 7 (C) (c) 11 (D) (d) 13 (E) (e) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
N ends in the digit 1 because when N is... | 55,602 |
<|im_start|>user
A certain pair of used shoes can be repaired for $11.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $28.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
Answer Choices: (A)... | 81,413 |
<|im_start|>user
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is... | 55,857 |
<|im_start|>user
The product of all prime numbers less than or equal to nine are?
Answer Choices: (A) 210 (B) 125 (C) 15 (D) 55 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
A)
The answer is A<|endoftext|> | 26,515 |
<|im_start|>user
1/2 divived by 1/2 of 1/2 whole divided by 1/2 +1/2 of 1/2
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 divided by 1/2 of 1/2 :
1/2 of 1/2 = 1/2*1/2 = 0.25
1/2 divided by .25 = 2
1/2+1/2 of 1/2:
1/2+1/2 = 1
1 of 1/2 = 0.5
1/2 divived by 1/2 of 1/2... | 47,964 |
<|im_start|>user
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 3 as its largest number?
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 1/32<|im_end|>
<|im_start|>assistant
<th... | 73,298 |
<|im_start|>user
A sum of money on compound interest amounts to Rs. 8240 in 2 years and Rs. 9888 in 3 years. The rate of interest is
Answer Choices: (A) 10% (B) 25% (C) 20% (D) 12% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: Let the sum be P and rate of interest be R% per annum.
Amount after... | 92,513 |
<|im_start|>user
Shreyas bought an article and sold it for 130% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.40250/-?
Answer Choices: (A) Rs.30962 (B) Rs.35640 (C) Rs.34250/- (D) Rs.33200 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
130% of CP... | 31,880 |
<|im_start|>user
What forms at the boundary between two air masses?
Answer choice: (A) a cool (B) a front (C) hurricane (D) a rough<|im_end|>
<|im_start|>assistant
<think>
</think>
A front forms at the boundary between two air masses. Types of fronts include cold, warm, occluded, and stationary fronts. Clouds, precip... | 10,369 |
<|im_start|>user
What is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?
Answer Choices: (A) 35 (B) 34 (C) 20 (D) 35 (E) 342<|im_end|>
<|im_start|>assistant
<think>
</think>
Required Number
= (LCM of 2, 6, 12 and 24) + 12
= 24 + 10 = 34
Option B
The answer is B<|endoftext|> | 1,624 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 11 units?
Answer Choices: (A) 140 sq.units (B) 170 sq.units (... | 74,330 |
<|im_start|>user
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
A. 5 kmph
Answer Choices: (A) 5 (B) 8 (C) 9 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 - 25)/2
= 5
The answer is A<|endoftext|> | 94,615 |
<|im_start|>user
33 1/3% OF 210?
Answer Choices: (A) 70 (B) 90 (C) 110 (D) 120 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
33 1/3 % = 1/3
1/3 × 210 = 70
A)
The answer is A<|endoftext|> | 63,936 |
<|im_start|>user
in a soccer bet,we play 4 teams.first team odd 1.28,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Answer Choices: (A) 219.5 (B) 223.0 (C) 235.01 (D) 266.74 (E) 669.0<|im_end|>
<|im_start|>assistant
<think>
</think>
in the case we won the bet,we ... | 85,521 |
<|im_start|>user
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
Answer Choices: (A) 26 litres (B) 29.16 litres (C) 28 litres (D) 28.2 litres (E) 30 litres<|im_... | 50,719 |
<|im_start|>user
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Answer Choices: (A) 54 (B) 90 (C) 64 (D) 92 (E) 98<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans.(C)
Sol. In this case, repetitions are allowed, so all ... | 22,253 |
<|im_start|>user
What are single-celled organisms that lack a nucleus called?
Answer choice: (A) prokaryotes (B) protists (C) fungi (D) eukaryotes<|im_end|>
<|im_start|>assistant
<think>
</think>
Prokaryotes are single-celled organisms that lack a nucleus. They are placed in two domains: the Bacteria Domain and the A... | 7,050 |
<|im_start|>user
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
Answer Choices: (A) 18 days (B) 24 days (C) 30 days (D) 36 days (E) 35 days<|im_end|... | 71,658 |
<|im_start|>user
There are 380 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Answer Choices: (A) 152 (B) 209 (C) 57 (D) 171 (E) 220<|im_end|>
<|im_start|>assistant
<think>
</think>
Given,
The ratio of the doctors to the nurses is... | 83,520 |
<|im_start|>user
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Answer Choices: (A) 19 1/7 min (B) 15 1/7 min (C) 17 1/7 min (D) 7 1/7 min (E) 9 1/7 min<|im_end... | 72,477 |
<|im_start|>user
If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 1 hour?
Answer Choices: (A) 100 (B) 120 (C) 150 (D) 180 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = 3 * 60 = 180
The answer is D<|endo... | 29,276 |
<|im_start|>user
What colorful arc-shaped atmospheric phenomena are produced by a combination of refraction and reflection?
Answer choice: (A) lightning (B) shadows (C) sunsets (D) rainbows<|im_end|>
<|im_start|>assistant
<think>
</think>
Rainbows are produced by a combination of refraction and reflection. You may ha... | 10,180 |
<|im_start|>user
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Answer Choices: (A) 11 (B) 77 (C) 12 (D) 99 (E) 887<|im_end|>
<|im_start|>assistant
<think>
</think>
x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x... | 46,903 |
<|im_start|>user
Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 9kmph. For how many minutes does the bus stop per hr
Answer Choices: (A) 12 min (B) 11 min (C) 13 min (D) 20 min (E) 50 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Due to stoppages,it covers 45km less.
time take... | 78,613 |
<|im_start|>user
What least number should be added to 1021, so that the sum is completely divisible by 25?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 0 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
1021 ÷ 25 = 40 with remainder = 21
21 + 4 = 25.
Hence 4 should be added to 1021 so that the sum will be divisible b... | 56,753 |
<|im_start|>user
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Answer Choices: (A) 288 (B) 125 (C) 88 (D) 76 (E) 232<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 90 * 5/18 * 5 = 125 m
The answer is B<|endoftext|> | 55,067 |
<|im_start|>user
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Answer Choices: (A) 3... | 67,764 |
<|im_start|>user
A sperm cell and an egg cell fuse to become what?
Answer choice: (A) embryo (B) fetus (C) fertilized egg (D) unfertilized egg<|im_end|>
<|im_start|>assistant
<think>
</think>
The Neural Tube To begin, a sperm cell and an egg cell fuse to become a fertilized egg. The fertilized egg cell, or zygote, st... | 5,229 |
<|im_start|>user
In a certain parking lot, 2% of the cars are towed for parking illegally. However 90% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
Answer Choices: (A) 10% (B) 12% (C) 16% (D) 18% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
<... | 34,226 |
<|im_start|>user
When you heat a pot of water on a stove top, energy moves from the pot to its metal handle by what process?
Answer choice: (A) conduction (B) induction (C) convection (D) thermal radiation<|im_end|>
<|im_start|>assistant
<think>
</think>
Sunlight is turned into electricity at a solar power plant. The... | 4,993 |
<|im_start|>user
For every $10 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Answer Choices: (A) 1 : 4 : 400 (B) 1 : 4 : 100 ... | 74,612 |
<|im_start|>user
Bunny's brother Sunny is 562 days older to him while his sister Jenny is 75 weeks older to Sunny. If Jenny was born on Tuesday, on which day was Bunny born?
Answer Choices: (A) Monday (B) Tuesday (C) Friday (D) Saturday (E) Thursday<|im_end|>
<|im_start|>assistant
<think>
</think>
562-(75*7)=37
37---... | 18,277 |
<|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... | 351 |
<|im_start|>user
A train 325 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 45 sec. The speed of the train is?
Answer Choices: (A) 12 km/hr (B) 13 km/hr (C) 14 km/hr (D) 15 km/hr (E) 16 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative t... | 43,823 |
<|im_start|>user
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Answer Choices: (A) 6hr (B) 5.6hr (C) 9.5hr (D) 7.2hr (E) 4hr<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 29,866 |
<|im_start|>user
The average (arithmetic mean) of the even integers from 20 to 60 inclusive is how much greater than the average (arithmetic mean) of the even integers from 10 to 140 inclusive?
Answer Choices: (A) 40 (B) 15 (C) 35 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
So, according to A mean ... | 77,610 |
<|im_start|>user
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 28 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Answer Choices: (A) 16 (... | 40,370 |
<|im_start|>user
A man divides $8600 Among 5 Sons, 3 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Answer Choices: (A) A) $200 (B) B) $716.67 (C) C) $800 (D) D) $1200 (E) E) $400<|im_en... | 71,301 |
<|im_start|>user
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 6, then what is the increase in the number of pandas?
Answer Choices: (A) 18 (B) 3 (C) 5 (D) 10 (E) 15<|im_end|>
<|im_s... | 86,423 |
<|im_start|>user
Sita has $100 in her piggy bank. How much will she have in her bank 20 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?
Answer Choices: (A) 300 (B) 310 (C) 320 (D) 330 (E) 340<|im_... | 75,019 |
<|im_start|>user
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Answer Choices: (A) 29 (B) 28 (C) 600 (D) 277 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.
Rate x Time 10 x 2
P.W. = 100 x T.D. = Rs. 100 x 12... | 31,903 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 4,190 |
<|im_start|>user
A large tank can filled by A and B in 30 minutes and 45 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Answer Choices: (A) 30min (B) 20min (C) 25min (D) 40min (E) 45min<|im_end|>
<|i... | 53,021 |
<|im_start|>user
What do you call a pure substance that cannot be broken down into different types of substances?
Answer choice: (A) molecule (B) element (C) sample (D) compound<|im_end|>
<|im_start|>assistant
<think>
</think>
An element is a pure substance that cannot be broken down into different types of substance... | 7,326 |
<|im_start|>user
During which phase does dna replication occur in the cell cycle?
Answer choice: (A) synthesis (B) resting (C) gap (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
9.2 | DNA Replication By the end of this section, you will be able to: • Explain the process of DNA replication • Explain the ... | 4,964 |
<|im_start|>user
The maximum numbers of students among them 781 pens and 710 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
Answer Choices: (A) 71 (B) 910 (C) 1001 (D) 1911 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
olution
Required... | 82,024 |
<|im_start|>user
A train 220 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 12 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative t... | 81,535 |
<|im_start|>user
A pharmaceutical company made 3000 strips of tablets at a cost of Rs. 4800. The company gave away 1000 strips of tablets to doctors as free samples. A discount of 25% was allowed on the printed price. Find the ratio profit if the price is raised from Rs. 3.25 to Rs. 4.25 per strip and if at the latter ... | 89,100 |
<|im_start|>user
80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
Answer Choices: (A) 2pie (B) 11pie (C) 178 pie (D) 71... | 9,075 |
<|im_start|>user
The ratio of 2 numbers is 3:7 and their H.C.F. is 12. Their L.C.M. is ?
Answer Choices: (A) 20 (B) 24 (C) 252 (D) 136 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x and 7x
Their H.C.F. = 3
so the numbers are 3*12 , 7*12 = 36,84
L.C.M. = 252
The answer is C<|endoftext|> | 24,373 |
<|im_start|>user
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 10 digits of the integer x will all be zero?
Answer Choices: (A) 16 (B) 27 (C) 38 (D) 44 (E) 63<|im_end|>
<|im_start|>assistant
<think>
</think>
2*5 will give one 0 at the end. We need 2^10*5... | 86,047 |
<|im_start|>user
Anand and Deepak started a business investing Rs. 4,500 and Rs. 8,000 respectively. Out of a total profit of Rs. 3,000. Deepak's share is?
Answer Choices: (A) s. 1600 (B) s. 1500 (C) s. 2450 (D) s. 1920 (E) s. 1400<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of their shares = 4500 : 8000 =... | 77,527 |
<|im_start|>user
If x+y=270, x-y=200, for integers of x and y, y=?
Answer Choices: (A) 200 (B) 235 (C) 50 (D) 115 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y = 270
x-y = 200
2x = 70
x = 35
y = 235
The answer is B<|endoftext|> | 23,273 |
<|im_start|>user
Changes of state of matter do not involve what type of reaction?
Answer choice: (A) chemical reaction (B) gaseous reaction (C) radiation (D) mechanical reaction<|im_end|>
<|im_start|>assistant
<think>
</think>
Not all changes in matter involve chemical reactions. For example, there are no chemical re... | 3,154 |
<|im_start|>user
Membranes will become increasingly what as temperatures rise?
Answer choice: (A) acidic (B) metallic (C) toxic (D) fluid<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 7,265 |
<|im_start|>user
I bought two books; for Rs.500. 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) 337 (B) 280 (C) 299.67 (D) 266.67 (E) 291.67<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(... | 83,307 |
<|im_start|>user
In a mixture 60 liters, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quantity of water to be further added is:
Answer Choices: (A) 20 liters (B) 30 liters (C) 40 liters (D) 60 liters (E) 80 liters<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Quantity... | 32,810 |
<|im_start|>user
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 120 m (B) 240 m (C) 300 m (D) 400 m (E) 450 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option B
Spee... | 36,172 |
<|im_start|>user
A tank is filled by 3 pipes A,B,C in 8 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Answer Choices: (A) 25hr (B) 35hr (C) 56hr (D) 20hr (E) 50hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose pipe A alone take x hours to... | 77,496 |
<|im_start|>user
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.22050/- in 3 years at the same rate of interest. Find the rate percentage?
Answer Choices: (A) 5% (B) 7% (C) 9% (D) 11% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The difference of two successive amounts... | 40,857 |
<|im_start|>user
if each of its sides of a rectangle is increased by 25%, what is the percentage increase in the area of the rectangle, ?
Answer Choices: (A) 59.25% (B) 58.25% (C) 56.25% (D) 26.25% (E) 51.25%<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume original length = 100m by 50m
original area = 100*50=... | 80,811 |
<|im_start|>user
How many such pairs of letters are there in the word EXPRESSION which have as many letters between them in the word as in the alphabet ?
Answer Choices: (A) 4 (B) 5 (C) 3 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
(E,N)
(P,S)
(O.N)
(X,S)
The answer is A<|endoftext|> | 40,578 |
<|im_start|>user
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Answer Choices: (A) 5:9 (B) 5:5 (C) 5:3 (D) 5:2 (E) 5:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 40% of A = 2/3 B. Then,
40A/100 = 2B/3 => 2A/5 = 2B/3
A/B = (2/3 * 5/2) = 5/... | 37,123 |
<|im_start|>user
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 25 miles per hour. How far is it to the school?
Answer Choices: (A) 2 miles (B) 4 miles (C) 6.6 miles (D) 8 miles (E) 10 miles<|im_... | 9,968 |
<|im_start|>user
2 trains in same direction at 50km/hr,32 km/hr.A man in slower train observes 15 sec elapse before the faster train completely passed by him what is length of faster train?
Answer Choices: (A) 65 meters (B) 75 meters (C) 85 meters (D) 95 meters (E) 55 meters<|im_end|>
<|im_start|>assistant
<think>
</t... | 20,273 |
<|im_start|>user
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Answer Choices: (A) 6 months (B) 8 months (C) 10 months (D) 7 months (E) 9 months<|im_end|>
<|im_start|>assistant
<think>
</think... | 89,836 |
<|im_start|>user
A man can row upstream at 10kmph and downstream at 20kmph. Find the rate of current ?
Answer Choices: (A) 10km/hr (B) 15km/hr (C) 20km/hr (D) 5km/hr (E) 3km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate of current = 1/2 (20-10) = 5km/hr
The answer is D<|endoftext|> | 65,599 |
<|im_start|>user
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 15 points that contain the point A?
Answer Choices: (A) 91 (B) 105 (C) 182 (D) 210 (E) 455<|im_end|>
<|im_start|>assistant
<think>... | 26,201 |
<|im_start|>user
When positive integer r is divided by 13, the remainder is 2. When n is divided by 8, the remainder is 5. How many such values are less than 180?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
the equation that can be formed r is 13x+2=8y+5..
13x-3... | 45,631 |
<|im_start|>user
What conveys signals received by the eye to the brain?
Answer choice: (A) motor nerve (B) optic nerve (C) sciatic nerve (D) sensory nerve<|im_end|>
<|im_start|>assistant
<think>
</think>
26.1 Physics of the Eye The eye is perhaps the most interesting of all optical instruments. The eye is remarkable ... | 9,585 |
<|im_start|>user
The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages
Answer Choices: (A) 14 years, 30 years (B) 12 years, 28 years (C) 16 years, 34 years (D) 18 years, 38 years (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</thi... | 59,122 |
<|im_start|>user
If a - b = 3 and a^2 + b^2 = 29, find the value of ab.
Answer Choices: (A) 5 (B) 10 (C) 12 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
2ab = (a^2 + b^2) - (a - b)^2
= 29 - 9 = 20
ab = 10.
B)
The answer is B<|endoftext|> | 85,429 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement and always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An imperative sentence makes... | 344 |
<|im_start|>user
The average of first six multiples of 3 is
Answer Choices: (A) 10.5 (B) 6 (C) 9 (D) 12 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Average = 3(1+2+3+4+5+6) / 6
= 63 / 6.
= 10.5.
The answer is A<|endoftext|> | 90,093 |
<|im_start|>user
A 2member committee comprising of one male & one female member is to be constitute out of 5 males and 3females. Among st the females. Ms.A refuses to be a member of the committee in which Mr.B is taken as the member. In how many different ways can the committee be constituted ?
Answer Choices: (A) 12 (... | 37,030 |
<|im_start|>user
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of cor... | 11,498 |
<|im_start|>user
By selling an article at Rs.600, a profit of 30% is made. Find its cost price?
Answer Choices: (A) 400 (B) 267 (C) 287 (D) 480 (E) 811<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+50)]
= 600 * [100/150] = Rs.400
The answer is A<|endoftext|> | 17,395 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 4,311 |
<|im_start|>user
What day of the week does May 28 2006 fall on
Answer Choices: (A) Saturday (B) Monday (C) Sunday (D) Thursday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 ye... | 11,709 |
<|im_start|>user
What are the two distinct types of cells found in the animal kingdom?
Answer choice: (A) DNA and Eukaryotes (B) bacteria and eukaryotes (C) chromosomes and eukaryotes (D) prokaryotes and eukaryotes<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 292 |
<|im_start|>user
If equation |x/2| + |y/2| = 4 encloses a certain region on the coordinate plane, what is the area of this region?
Answer Choices: (A) 20 (B) 50 (C) 108 (D) 200 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
The equation can be reduced to intercept form as |x/8| + |y/8| = 1, so these are lin... | 32,980 |
<|im_start|>user
The ratio of the first and second class fares between two stations is 3 : 1 and that of the number of passengers travelling between the two stations by the first and the second class is 1 : 50. If in a day, Rs. 1, 325 are collected from the passengers travelling between the two stations, then the amoun... | 95,295 |
<|im_start|>user
Cost is expressed by the formula tb^4. If b is doubled, the new cost R is what percent of the original cost?
Answer Choices: (A) R=200 (B) R=600 (C) R=800 (D) R=1600 (E) R=50<|im_end|>
<|im_start|>assistant
<think>
</think>
Original Cost C1=t1*b1^4
New Cost C2= t2*b2^4....only b is doubled so t2=t1 a... | 57,607 |
<|im_start|>user
A fill pipe can fill 1/6 of cistern in 90 minutes in how many minutes, it can fill 5/6 of the cistern?
Answer Choices: (A) 450 min (B) 360 min (C) 240 min (D) 306 min (E) 500 min<|im_end|>
<|im_start|>assistant
<think>
</think>
1/6 of the cistern can fill in 90 min
5/6 of the cistern can fill in = 90... | 63,893 |
<|im_start|>user
If n is an odd integer less than 10, which of the following must also be an odd integer?
Answer Choices: (A) 2n + n^2 + 2 (B) n^3 + 2n (C) 3n + 2^n (D) n^3 + 1 (E) 3n<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: D
A: 2n = even
B: 3n = even
C: 3n + n^2 + 2 = even
D: n^2 + 1 = odd
E: 2n + n... | 48,544 |
<|im_start|>user
What is it called when poles are in opposite positions?
Answer choice: (A) reversed polarity (B) reversed bonding (C) polar effect (D) demagnetization<|im_end|>
<|im_start|>assistant
<think>
</think>
Looking at the magnetism of the seafloor, scientists discovered something astonishing. Many times in ... | 10,982 |
<|im_start|>user
Harkamal purchased 10 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 1190 (B) B) 1065 (C) C) 1070 (D) D) 1075 (E) E) 1080<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 10 kg grapes = 7... | 94,747 |
<|im_start|>user
A grocer has a sale of Rs. 5921, Rs. 5468, Rs. 5568, Rs. 6088 and Rs. 6433 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5900?
Answer Choices: (A) 4902 (B) 4922 (C) 5922 (D) 5924 (E) 5928<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 39,430 |
<|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.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 886 |
<|im_start|>user
How many Kg of sugar must be added to 30 Kg of 2% solution of sugar and water to increase it to a 10% solution?
Answer Choices: (A) 2.6Kg (B) 4Kg (C) 3.4Kg (D) 1.8Kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: Amount of sugar in 30 Kg solution = (2/100 *... | 64,479 |
<|im_start|>user
The combustion of propane gas produces carbon dioxide and what else?
Answer choice: (A) methane (B) water vapor (C) carbon monoxide (D) phosphorous<|im_end|>
<|im_start|>assistant
<think>
</think>
The combustion of propane gas produces carbon dioxide and water vapor.
The answer is B<|endoftext|> | 7,197 |
<|im_start|>user
A natural number has exactly 10 divisors including 1 and itself.how many distint prime factors this natural number will have?
Answer Choices: (A) 37 (B) 29 (C) 27 (D) 99 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 91,690 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 5,537 |
<|im_start|>user
George baked a total of 150 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednes... | 13,096 |
<|im_start|>user
6+2=42
4+9=48
8+2=72
3+7=27
1+4=??
Solve it?
Answer Choices: (A) 9 (B) 3 (C) 42 (D) 4 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y=x[y+(x-1)]=x^2+xy-x
6+2=6[2+(6-1)]=36+12-6=42
4+9=4[9+(4-1)]=16+36-4=48
8+2=8[2+(8-1)]=64+16-8=72
3+7=3[7+(3-1)]=9+21-3=27
1+4=1[4+(4-1)]=1+4-1=4
The answe... | 49,894 |
<|im_start|>user
In Badminton game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Answer Choices: (A) 1/3 (B) 4/9 (C) 5/9 (D) 2/3 (E) 3/4<|im_end|>
<|im_... | 53,114 |
<|im_start|>user
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Answer Choices: (A) 8.5 m (B) 17 m (C) 34 m (D) 51 m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the breadth of the plo... | 80,683 |
<|im_start|>user
What is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5? assume that each die has 4 sides with faces numbered 1 to 4.
Answer Choices: (A) 1/144 (B) 1/36 (C) 1/12 (D) 1/16 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</thin... | 88,719 |
<|im_start|>user
What tube carries urine out of the body?
Answer choice: (A) fallopian tube (B) uterus (C) kidney (D) urethra<|im_end|>
<|im_start|>assistant
<think>
</think>
The penis is a cylinder-shaped organ. It contains the urethra. The urethra is a tube that carries urine out of the body. The urethra also carri... | 6,624 |
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