text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 12?
Answer Choices: (A) 3x + 4y = 11 (B) 3x – 4y = 12 (C) 5y – 3x = 6 (D) 1.5y + 2x = 8 (E) 8x – 6y = 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Perpendicular lines have sl... | 17,611 |
<|im_start|>user
Which number should replace both the asterisks in (* /21) x (*/84) = 1 ?
Answer Choices: (A) 21 (B) 42 (C) 63 (D) 72 (E) 168<|im_end|>
<|im_start|>assistant
<think>
</think>
Let (y/21) x (y/84) = 1
y^2 = 21 x 84 = 21 x 21 x 4
y = (21 x 2) = 42
The answer is B<|endoftext|> | 80,233 |
<|im_start|>user
A and B together can do a piece of work in 6 days and A alone can do it in 13 days. In how many days can B alone can do it?
Answer Choices: (A) 12 days (B) 15 days (C) 78/7 days (D) 21 days (E) 22/7 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A and B can do work 1/6 in 1 day
A ... | 1,044 |
<|im_start|>user
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 170, 10 kmph (B) 35, 27 kmph (C) 50, 60 kmph (D) 115, 15 kmph (E) 45, 65 kmph<|im_end|>
<|im_start|>assistant
<think>
... | 94,574 |
<|im_start|>user
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 96 Θ 33 ) Θ 17 ) - ( 94 Θ (33 Θ 17)) ?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
(( 96 Θ 33 ) Θ 17 )
The remainder o... | 64,551 |
<|im_start|>user
In covering a distance of 36 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Answer Choices: (A) 5 km/h (B) 6 km/h (C) 10 km/h (D) 15 km/h (E) 25 km/h<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A's speed be X km/hr.
Then, 36/x - ... | 95,686 |
<|im_start|>user
A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 10 cents?
Answer Choices: (A) 24 (B) 18 (C) 32 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
0.10(x)+0.35(20-x)=2.5
0.10x+7-0.35... | 79,877 |
<|im_start|>user
If 6Pr = 360 and If 6Cr = 15, find r ?
Answer Choices: (A) 5 (B) 6 (C) 4 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
nPr = nCr�r!
6Pr = 15 *r!
360 =15 *r!
r! =360 /15 =24
r! = 4*3*2*1
=> r! =4!
Therefore, r = 4.
The answer is C<|endoftext|> | 71,825 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 362 |
<|im_start|>user
A train running at the speed of 100 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 298 m (B) 250 m (C) 208 m (D) 988 m (E) 299 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 100 * 5/18 = 250/9 m/sec
Length of the train = speed * time = 250/9 * 9
= 250 ... | 74,061 |
<|im_start|>user
Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Answer Choices: (A) 11 : 6 (B) 12 : 7 (C) 13 : 7 (D) 15 : 6 (E) 65 : 56<|im_end|>
<|im_start|>assi... | 33,361 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 526 |
<|im_start|>user
population is 20000. Pop increases by 10% every year, then the pop after 3 years is?
Answer Choices: (A) 26630 (B) 26640 (C) 36620 (D) 26620 (E) 26820<|im_end|>
<|im_start|>assistant
<think>
</think>
population after 1st year = 20000*10/100 = 2000 ===> 20000+2000 = 22000
population after 2nd year = 2... | 41,411 |
<|im_start|>user
f the sum of a list of consecutive odd integers is 5, which of the following could be true?
I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.
Answer Choices: (A) None (B) I only (C) II only (D) I and II (E) I ... | 81,540 |
<|im_start|>user
If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
21340 * 10^-4 * 10^x < 210,000, x=4
because the next zero on the right side will make 21,340 > 210,000
Th... | 79,248 |
<|im_start|>user
A ladies hostel had provision of food for 300 women for 45 days. After 10 days, 275 women left the hostel. The number of days for which the remaining food will last is:
Answer Choices: (A) 420 (B) 430 (C) 450 (D) 480 (E) 425<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
After 10 days... | 48,755 |
<|im_start|>user
when W is divided by 13, the reminder is 0. if W is three more than it value and when divided by 11 its remainder is 0. what is the value of W ?
Answer Choices: (A) 13 (B) 52 (C) 39 (D) 26 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
W is divided by 13 so that is multiple of 14 as 13,26,39... | 72,000 |
<|im_start|>user
If 2^(2w) = 8^(w−6), what is the value of w?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
2^(2w) = 8^(w−6)
2^(2w) = 2^(3*(w−6))
2^(2w) = 2^(3w-18)
Let's equate the exponents as the bases are equal.
2w = 3w-18
w = 18
The answer is C<|endoftext|> | 19,508 |
<|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.... | 3,930 |
<|im_start|>user
A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Answer Choices: (A) 2 1/5 Km (B) 3 Km (C) 4 1/3 Km (D) 5 Km (E) 5 1/3 Km<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = S1*S2/S2-... | 58,388 |
<|im_start|>user
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
Answer Choices: (A) 24 (B) 144 (C) 292 (D) 584 (... | 59,184 |
<|im_start|>user
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 160 vote’s majority. What is the total number of votes polled?
Answer Choices: (A) 750 (B) 400 (C) 800 (D) 850 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Note: majo... | 81,271 |
<|im_start|>user
Where do amphibians lay their eggs?
Answer choice: (A) in caves (B) on land (C) in water (D) in airborne nests<|im_end|>
<|im_start|>assistant
<think>
</think>
Amphibians reproduce sexually. Fertilization may take place inside or outside the body. Eggs are laid in water. They hatch into larvae that l... | 9,055 |
<|im_start|>user
In a rectangular coordinate system, points O (2,2), P (2,12), and Q (10,2) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Answer Choices: (A) (5,6) (B)... | 82,150 |
<|im_start|>user
From the given equation find the value of B: B² + 1B - 56
Answer Choices: (A) 3 (B) 5 (C) 8 (D) 12 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
(B − 7)(B + 8)
B = 7 or 8
The answer is C<|endoftext|> | 70,018 |
<|im_start|>user
Bert left the house with N dollars. He spent 1/3 of this at the hardware store, then $7 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10.50 left in his pocket. What was the value of N?
Answer Choices: (A) $42 (B) $44 (C) $52 (D) $60 (E) $68<|im_end|... | 38,368 |
<|im_start|>user
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Answer Choices: (A) 87 days (B) 77 days (C) 8 days (D) 5 days (E) 6 days<|im_end|>
<|im_start|>assistant
<think>
</think>
WC = 3:1
WT = 1:3
x 3x
1/... | 17,237 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 18 seconds respectively and they cross each other in 20 seconds. The ratio of their speeds is:
Answer Choices: (A) 3 : 1 (B) 3 : 2 (C) 3 : 8 (D) 2 : 5 (E) 3 : 4<|im_end|>
<|im_start|>assistant
<think>
</th... | 72,186 |
<|im_start|>user
A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken?
Answer Choices: (A) 1 hour (B) 1/3 hour (C) 2/3 hour (D) 3/4 hour (E) 1/4 hour<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original speed and time is S and T
then distance =S... | 8,946 |
<|im_start|>user
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 17 positive perfect squares?
Answer Choices: (A) 1,010 (B) 1,164 (C) 1,240 (D) 1,316 (E) 1,785<|im_end|>
<|im_start|>assistant... | 54,728 |
<|im_start|>user
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Answer Choices: (A) 2 1/4 (B) 2 7/4 (C) 2 1/8 (D) 2 9/4 (E) 2 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
P ---- 2P ---- 8 years
2 1/4 P ---- 10 years
The answer is A<... | 24,638 |
<|im_start|>user
For the symbol, m”n=n^2−m for all values of m and n. What is the value of 3”3?
Answer Choices: (A) 6 (B) 3 (C) 2 (D) 1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
3”3= 9 - 3=6
The answer is A<|endoftext|> | 19,819 |
<|im_start|>user
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.64 at the candy store. What is John’s weekly allowance?
Answer Choices: (A) $2.40 (B) $3.00 (C) $3.20 (D) $3.60 (E... | 35,937 |
<|im_start|>user
Two representatives must be selected from each of two groups of students. One group consists of three men and one woman, and the other group consists of two women and one man. What is the probability that 2 men and 1 women will be selected ?
Answer Choices: (A) 1/6 (B) 1/4 (C) 2/7 (D) 2/3 (E) 1/2<|im_e... | 60,737 |
<|im_start|>user
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (24^2 – 1))
Answer Choices: (A) a. 9/19 (B) b. 10/19 (C) c. 12/25 (D) d. 11/21 (E) e. 11/19<|im_end|>
<|im_start|>assistant
<think>
</think>
it can be written into
1/3+1/15+ 1/35.....1/575
i.e... | 83,113 |
<|im_start|>user
A die is rolled twice. What is the probability of getting a sum equal to 9?
Answer Choices: (A) 2/9 (B) 5/7 (C) 1/7 (D) 1/9 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)
Hence, total number of ou... | 79,155 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 5,387 |
<|im_start|>user
A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what W percent of the list pric... | 13,571 |
<|im_start|>user
The average monthly salary of 18 employees in an organisation is Rs. 2000. If the manager's salary is added, then the average salary increases by Rs. 200. What is the manager's monthly salary?
Answer Choices: (A) Rs.5800 (B) Rs.3618 (C) Rs.3600 (D) Rs.3619 (E) Rs.3610<|im_end|>
<|im_start|>assistant
<t... | 40,109 |
<|im_start|>user
The digit in the units place of a number is equal to the digit in the tens place of half of that number and the digit in the tens place of that number is less than the digit in units place of half of the number by 1. If the sum of the digits of the number is seven, then what is the number?
Answer Choic... | 82,429 |
<|im_start|>user
Of the science books in a certain supply room, 30 are on botany, 37 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
A... | 58,187 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the ip sound.
The words lake and make rhyme. They both end with the ake sound.
The words tip and lake don't rhyme. They e... | 6,504 |
<|im_start|>user
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Answer Choices: (A) 29 (B) 78 (C) 30 (D) 28 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
20 + 24 + 8 * 2 = 60/2 = 30
The answer is C<|en... | 28,998 |
<|im_start|>user
Tom can hit a target 3 times in 6 shots, Marry can hit the target 2 times in 6 shots & mike can hit 4 times in 4 shots. What is the probability that atleast 2shots hit the target ?
Answer Choices: (A) 3/4 (B) 4/5 (C) 2/3 (D) 5/7 (E) 6/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Ashwini hits th... | 1,103 |
<|im_start|>user
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the afternoon?
Answer Choices: (A) 180° (B) 154° (C) 160° (D) 170° (E) 150°<|im_end|>
<|im_start|>assistant
<think>
</think>
The angle traced by the hour hand in 12 h... | 91,259 |
<|im_start|>user
Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 70, what is the greatest possible value of Q minus R?
Answer Choices: (A) 63 (B) 64 (C) 65 (D) 66 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
A t... | 13,578 |
<|im_start|>user
An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 70 percent gold?
Answer Choices: (A) 6 (B) 9 (C) 12 (D) 24 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
In 24 ounces, gold is 20 * (70/100) = 14 ounces. Now we add x ounces... | 84,154 |
<|im_start|>user
There are 9 baskets numbered from 1 to 9 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were fil... | 65,706 |
<|im_start|>user
If 2^2n + 2^2n + 2^2n + 2^2n = 4^26, then n =
Answer Choices: (A) 3 (B) 6 (C) 12 (D) 23 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
2^2n + 2^2n + 2^2n + 2^2n = 4^26
=> 4 x 2^2n = 4^26 = 2^52
=> 2^2 x 2^2n = 2^52
=> 2^(2n+2) = 2^52
=> 2n+2 = 52=> n =25
So.
The answer is E<|endoftext|> | 75,771 |
<|im_start|>user
All alkanes are composed of carbon and hydrogen atoms, and have similar bonds, structures, and formulas; noncyclic alkanes all have a formula of cnh2n+2. the number of carbon atoms present in an alkane has what?
Answer choice: (A) done limit (B) crippling limit (C) no limit (D) such limit<|im_end|>
<|i... | 91 |
<|im_start|>user
Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Answer Choices: (A) 30% (B) 35% (C) 40% (D) 45% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original income=Rs.100 . Then , expendi... | 35,608 |
<|im_start|>user
If P is a prime number greater than 3, what is the remainder when P^2 is divided by 4.
Answer Choices: (A) 1 (B) 3 (C) 2 (D) 4 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
take square of any prime number
remainder will be 1
The answer is A<|endoftext|> | 33,091 |
<|im_start|>user
The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed six times, what is the probability that the coin turns up tails on at least one of the tosses?
Answer Choices: (A) 15/16 (B) 21/32 (C) 31/32 (D) 63/64 (E) 51/64<|im_end|>
<|im_start|>assistant
<think>
</... | 71,555 |
<|im_start|>user
A certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 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 set... | 15,524 |
<|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 ... | 4,107 |
<|im_start|>user
A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 5 new non-fiction books in the right window. Assuming she can put the five fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will ther... | 14,797 |
<|im_start|>user
In the Hillside summer camp there are 100 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Answer Choices: (A) 150. (B) 14... | 25,249 |
<|im_start|>user
What part of the body are eggs formed in?
Answer choice: (A) brain (B) ovaries (C) intestine (D) pancreas<|im_end|>
<|im_start|>assistant
<think>
</think>
Eggs form in the ovaries. After puberty, an egg is released from an ovary each month in the process of ovulation. The egg passes through the fallo... | 787 |
<|im_start|>user
Total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3/4 liter milk 5 cow gives each 1/4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how?
Answer Choices: (A) 10 (B) 5 (C) 15 (D) 7.5 (E) 12.5<|im_end|>
<|im_start|>assistant
<think>
</think>
5 cow 2 liter each =10 liter
5... | 38,785 |
<|im_start|>user
The C.P of 5 books is equal to the S.P of 20 books. Find his gain% or loss%?
Answer Choices: (A) 35% (B) 20% (C) 5% (D) 25% (E) 75%<|im_end|>
<|im_start|>assistant
<think>
</think>
explanation:
5 CP = 20 SP
20 --- 15 CP loss
100 --- ? => 75% loss
The answer is E<|endoftext|> | 23,864 |
<|im_start|>user
A person distributed 20% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
Answer Choices: (A) 452000 (B) 562000 (C) 800000 (D) 500000 (E) 652000<|im_end|>
<|im_s... | 60,264 |
<|im_start|>user
In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for... | 897 |
<|im_start|>user
Smith can do a work in 15 days while Johnson can do it in 25 days. How long will they take if both work together?
Answer Choices: (A) 3 4/9 days (B) 8 4/9 days (C) 9 3/8 days (D) 6 3/8 days (E) 7 3/8 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1/15 + 1/25 = 8/75
75/8 = 9 3/8 da... | 41,200 |
<|im_start|>user
What will be 90 percent of a number whose 200 percent is 90 ?
Answer Choices: (A) 144 (B) 72 (C) 40.5 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
∵ 200% of N = 90
⇒ N = (90 x 100) / 200 = 45
∴ 90% of N = (90 x 45) / 100 = 40.5
Correct Option: C
T... | 74,329 |
<|im_start|>user
A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
Answer Choices: (A) 2 1⁄4 hours (B) 4 1⁄2 hours (C) 4 hours 5 minutes (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Dis... | 34,024 |
<|im_start|>user
John makes $60 a week from his job. He earns a raise and nowmakes $70 a week. What is the % increase?
Answer Choices: (A) 16% (B) 16.66% (C) 17% (D) 17.2% (E) 18%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
The answer is B<|endoftext|> | 38,494 |
<|im_start|>user
The ages of two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages, in years, are
Answer Choices: (A) 25, 5 (B) 30, 10 (C) 35, 15 (D) 50, 30 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages be ’x’ and ... | 77,432 |
<|im_start|>user
A synergist that makes the insertion site more stable is called a what?
Answer choice: (A) dominator (B) lesion (C) fixator (D) kilocalorie<|im_end|>
<|im_start|>assistant
<think>
</think>
CHAPTER REVIEW 11.1 Interactions of Skeletal Muscles, Their Fascicle Arrangement, and Their Lever Systems Skelet... | 7,014 |
<|im_start|>user
A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Answer Choices: (A) 25 (B) 66 (C) 18 (D) 19 (E) 01<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Dividend on 1 share = (12.5 * 50... | 67,968 |
<|im_start|>user
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Answer Choices: (A) 1243 (B) 1345 (C) 1788 (D) 1346 (E) 1365<|im_end|>
<|im_start|>assistant
<think>
</think>
A particular player is always chosen, it means that 10 players are selected out of the rem... | 88,134 |
<|im_start|>user
Which of the following number is divisible by 4 and 9?
Answer Choices: (A) 2377 (B) 2736 (C) 2876 (D) 1988 (E) 1192<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
For a number to be divisible by 4, the number formed by the last two digits of that number must be divisible by 4.
For a nu... | 10,733 |
<|im_start|>user
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 18 hours and 8 hours respectively. The ratio of their speeds is
Answer Choices: (A) 4 : 9 (B) 4 : 3 (C) 4 : 12 (D) 4 : 8 (E) 4 : 5<|im_end|>
<|im_sta... | 52,411 |
<|im_start|>user
A man swims downstream 90 km and upstream 55 km taking 5 hours each time; what is the speed of the current?
Answer Choices: (A) 3.8 (B) 3.5 (C) 3.3 (D) 3.2 (E) 1.6<|im_end|>
<|im_start|>assistant
<think>
</think>
90 --- 5 DS = 18
? ---- 1
55 ---- 5 US = 11
? ---- 1 S = ?
S = (18 - 11)/2 = 3.5
The ans... | 69,047 |
<|im_start|>user
2,100 has how many positive divisors?
Answer Choices: (A) 24 (B) 30 (C) 36 (D) 40 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
By factorization, we can write 2100 as 2100=2^2*3*5^2*7.
The number of factors is (2+1)(1+1)(2+1)(1+1) = 36
The answer is C<|endoftext|> | 74,734 |
<|im_start|>user
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
Answer C... | 33,811 |
<|im_start|>user
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The second wheel covers a distance of d feet in 400 revolutions. How many revolutions does the first wheel make in covering d feet?
Answer Choices: (A) 400xy (B) 400y - x (C) 400x - y (D) 400y/x (E) 400x/y<|im_end|>
<|im_... | 54,104 |
<|im_start|>user
Bronchial tubes in the lungs branch into ever-smaller structures, finally ending in alveoli. the alveoli act like what?
Answer choice: (A) filters (B) springs (C) tiny bubbles (D) bellows<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 11.31 Bronchial tubes in the lungs branch into ever-small... | 7,714 |
<|im_start|>user
A small company reduced its faculty by approximately 13 percent to 263 employees. What was the original number of employees?
Answer Choices: (A) A) 182 (B) B) 208 (C) C) 220 (D) D) 224 (E) E) 302<|im_end|>
<|im_start|>assistant
<think>
</think>
If x is the original number of employees, then after 13%... | 76,167 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 199 (B) 87 (C) 120 (D) 150 (E) 388<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 1... | 88,805 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 4,118 |
<|im_start|>user
A certain company consists of 6 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
... | 32,221 |
<|im_start|>user
What is used by sensitive systems to detect even low levels of radiation?
Answer choice: (A) electrons (B) radars (C) crystals (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Measurement of exposure to radioactivity is important for anyone who deals with radioactive materials on a regular b... | 4,908 |
<|im_start|>user
45 girls and 60 boys are present at a party. There are 17 girl-boy are in relationship among them. If a girl and a boy is selected at random, what is the probability that they will be not a couple?
Answer Choices: (A) 17/ 2900 (B) 2683/2700 (C) 2496/2700 (D) 2369/2700 (E) 198/270<|im_end|>
<|im_start|>... | 63,579 |
<|im_start|>user
In one alloy there is 12% chromium while in another alloy it is 10%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Answer Choices: (A) 8.8% (B) 9% (C) 9.2% (D) 8.6% (E) 10.6%<|im_end|>
<|im_start|>assis... | 79,971 |
<|im_start|>user
The kidneys work with the urinary system to remove what?
Answer choice: (A) wastes (B) nutrients (C) water (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
The kidneys play many vital roles in homeostasis . They work with many other organ systems to do this. For example, they work with the c... | 5,569 |
<|im_start|>user
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Answer Choices: (A) A) 72 (B) B) 45 (C) C) 729 (D) D) 34 (E) E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of a triangle = r * s
Where r is the inradius and s i... | 31,922 |
<|im_start|>user
A store’s selling price of $2240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 60 percent of the computer’s cost?
Answer Choices: (A) $2400 (B) $2464 (C) $2560 (D) $2732 (E) $2800<|im_end|>
<|im_start|>ass... | 14,715 |
<|im_start|>user
A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
Answer Choices: (A) 63.83 (B) 111.67 (C) 111.64 (D) 111.11 (E) 101.12<|im_end|>
<|im_start|>assistant
<think>
</think>
A runs 1000 m while B runs 940 m and C runs 880 m.
The numbe... | 44,014 |
<|im_start|>user
i row from a to b against the current in 8 hrs and from b to a in 2 hrs if speed of river is 9 m/sec.what is the speed of boat in still water.
Answer Choices: (A) 10 m/sec (B) 15 m/sec (C) 25 m/sec (D) 18 m/sec (E) 20 m/sec<|im_end|>
<|im_start|>assistant
<think>
</think>
If x m/sec is my speed in st... | 33,029 |
<|im_start|>user
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Answer Choices: (A) 20000 (B) 21000 (C) 22000 (D) 25000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</thin... | 19,318 |
<|im_start|>user
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Answer Choices: (A) 3:9 (B) 3:3 (C) 3:4 (D) 3:1 (E) 3:2<|im_end|>
<|im_start|>a... | 74,199 |
<|im_start|>user
The difference between the simple interest received from two different sources on Rs. 1000 for 3 years is Rs. 13.50. The difference between their rates of interest is?
Answer Choices: (A) A) 2.4% (B) B) 2.6% (C) C) 0.3% (D) D) 0.25% (E) E) 1.3%<|im_end|>
<|im_start|>assistant
<think>
</think>
(1000 *... | 83,110 |
<|im_start|>user
Which of the following is a prime number ?
Answer Choices: (A) 90 (B) 94 (C) 96 (D) 97 (E) 98<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, 97 is a prime number.
D
The answer is D<|endoftext|> | 59,039 |
<|im_start|>user
A small family consisting of 4 ( father , mother , son , daughter ) goes to a photo studio . Father says to the photographer , " I need all the possible photographs of our family " . how many pictures can he take , such that at least one person should be there in the photo
Answer Choices: (A) 61 (B) 62... | 29,178 |
<|im_start|>user
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.25 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
Answer Choices: (A) Rs.950 (B) Rs.1500 (C) Rs.1000 (D) Rs.1200 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
SP of 1 metr... | 64,846 |
<|im_start|>user
Train X and Y, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train X left at 4 pm traveling at a speed of 60 miles per hour, and train Y left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
Answer Choices: (... | 49,502 |
<|im_start|>user
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 16 years replaced by a new boy. The age of the new boy is?
Answer Choices: (A) 12 years 8 months (B) 15 years (C) 16 years 4 months (D) 17 years 10 months (E) 17 years<|im_end|>
<|im_start|>assistant
<think>
</... | 9,119 |
<|im_start|>user
It takes Joey the postman 1 hours to run a 4 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
Answer Choices: (A) 5 (B) 12 (C) 13 (D) 14 (E) 15<|im_e... | 9,236 |
<|im_start|>user
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Answer Choices: (A) 50 (B) 99 (C) 77 (D) 26 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of each... | 90,578 |
<|im_start|>user
33 1/3% OF 360?
Answer Choices: (A) 80 (B) 90 (C) 110 (D) 120 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
33 1/3 % = 1/3
1/3 × 360 = 120
D)
The answer is D<|endoftext|> | 69,380 |
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