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<|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... | 502 |
<|im_start|>user
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?
Answer Choices: (A) 5 (B) 8 (C) 12 (D) 24 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
n includes the ... | 67,660 |
<|im_start|>user
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 5?
Answer Choices: (A) 3/8 (B) 1/16 (C) 1/8 (D) 1/2 (E) 1/4<|im_en... | 18,473 |
<|im_start|>user
A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in... | 14,207 |
<|im_start|>user
A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Answer Choices: (A) 350 (B) 250 (C) 450 (D) 550 (E) 650<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of chocolate bars is equal to
18 ? 25 = 450
The answer i... | 50,211 |
<|im_start|>user
In how many ways a committee,consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Answer Choices: (A) 266 (B) 5040 (C) 11760 (D) 86400 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required number of way = (8 C 5 × 10 C 6) = (8 C 3 × 10 C 4)
=( 8x7x6/3x2x1x 10x9... | 86,741 |
<|im_start|>user
In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ?
Answer Choices: (A) 150 (B) 155 (C) 140 (D) 120 (E) 165<|im_end|>
<|im_start|>assistant
<think>
</think>
l... | 15,459 |
<|im_start|>user
In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?
Answer Choices: (A) 20% (B) 30% (C) 40% (D) 50% (E) 70%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let cost ... | 47,728 |
<|im_start|>user
10 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Answer Choices: (A) 4 hours a day (B) 5 hours a day (C) 6 hours a day (D) 7 hours a day (E) 8 hours a day<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 78,047 |
<|im_start|>user
What is the total number of integers between 2 and 38 that are divisible by 4?
Answer Choices: (A) 8 (B) 9 (C) 7 (D) 6 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
4, 6, 8, ..., 32,36
This is an equally spaced list; you can use the formula:
n = (largest - smallest) / ('space') + 1 = (36 - ... | 22,340 |
<|im_start|>user
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Answer Choices: (A) 1000 (B) 2217 (C) 2889 (D) 2777 (E) 2991<|im_end|>
<|im_start|>assistant
<think>
</think>
1120 = P [1 + (5*12/5)/100]
P= 1000
The answer is A<|endoftext|> | 16,150 |
<|im_start|>user
From a group of 3 women and 3 girls, 4 are to be randomly selected. What is the probability that equal numbers of women and girls will be selected?
Answer Choices: (A) 3/5 (B) 1/5 (C) 2/5 (D) 4/5 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Using the first example, here is the probability o... | 41,550 |
<|im_start|>user
The ratio of the cost price and the selling price is 4:5. The profit percent is?
Answer Choices: (A) 17 (B) 56 (C) 25 (D) 28 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x
Gain = (5x - 4x) = Rs. x
Gain % = (x * 100)/ 4x = 25%.
The answer is C<|endoftext... | 88,164 |
<|im_start|>user
Pipe A can fill a tank in 10 hours, pipe B in 15 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Answer Choices: (A) 2 (B) 2.5 (C) 3 (D) 5 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Part filled by (A + B + C) in 1 hour = (1/10 + ... | 94,847 |
<|im_start|>user
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:
Answer Choices: (A) 98 (B) 55 (C) 21 (D) 23 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9
= [(11 + 99) + (22 + 8... | 61,043 |
<|im_start|>user
Steam actually consists of tiny droplets of liquid what?
Answer choice: (A) lead (B) methane (C) water (D) mercury<|im_end|>
<|im_start|>assistant
<think>
</think>
Steam actually consists of tiny droplets of liquid water. What you can’t see in the picture is the water vapor that is also present in th... | 612 |
<|im_start|>user
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Answer Choices: (A) 11758 (B) 11756 (C) 11753 (D) 11750 (E) 11751<|im_end|>
<|im_start|>assistant
<think>
</think>
200 + 130 = 330
800 - 330 = 470
20... | 54,312 |
<|im_start|>user
The positive numbers w, x, y, and z are such that x is 30 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Answer Choices: (A) 15.2% (B) 16.0% (C) 20.0% (D) 23.2% (E) 24.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
My s... | 91,245 |
<|im_start|>user
A boat having a length 6 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Answer Choices: (A) 100 kg (B) 120 kg (C) 89 Kg (D) 180 Kg (E) 110 Kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume of water displaced = (6 x 3 x 0.01) m3
... | 46,388 |
<|im_start|>user
The respective ages of father and his son are 40 and 16 years. In how many years will the father be twice as old as his son ?
Answer Choices: (A) 19 years (B) 8 years (C) 10 years (D) 15 years (E) 12 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose x years later the father will be twice... | 3,141 |
<|im_start|>user
If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?
Answer Choices: (A) 3 (B) 1.5 (C) 2.5 (D) Can’t be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
DETAILED SOLUTION
Let the numbers be n,... | 3,774 |
<|im_start|>user
The distance between 2 cities A and B is 1000km. A train starts from A at 9 a.m. and travels towards B at 100 km/hr. Another starts from B at 10 a.m. and travels towards A at 150 km/hr. At what time do they meet?
Answer Choices: (A) 11am. (B) 12p.m. (C) 3pm. (D) 2p.m. (E) 1p.m.<|im_end|>
<|im_start|>as... | 13,313 |
<|im_start|>user
A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Answer Choices: (A) 18 sec (B) 16 sec (C) 76 sec (D) 15 sec (E) 28 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 sec
The answer is E<|endoftext|> | 19,378 |
<|im_start|>user
Taylor can read m pages in 7 minutes. At this rate, how long will it take him to read n pages?
Answer Choices: (A) (8/m) *n (B) (9/m) *n (C) (10/m) *n (D) (11/m) *n (E) (7/m) *n<|im_end|>
<|im_start|>assistant
<think>
</think>
m page in 7 mins
i.e. 1 page in 7/m mins
i.e. n pages in (7/m)*n
The answe... | 71,337 |
<|im_start|>user
In vertebrates, what tissue is a type of connective tissue that supports the entire body structure?
Answer choice: (A) cartilage (B) bone (C) blood (D) collagen<|im_end|>
<|im_start|>assistant
<think>
</think>
Complex Tissue Structure As multicellular organisms, animals differ from plants and fungi b... | 11,555 |
<|im_start|>user
In an election, candidate Smith won 52% of the total vote in Counties A and Q. He won 61% of the vote in County A. If the ratio of people who voted in County Q to County B is 3:1, what percent of the vote did candidate Smith win in County Q ?
Answer Choices: (A) A.25% (B) B.27% (C) C.34% (D) D.43% (E) ... | 2,124 |
<|im_start|>user
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Answer Choices: (A) 288 (B) 180 (C) 1288 (D) 1771 (E) 231<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
X + 120/15 = X + 180/1... | 50,188 |
<|im_start|>user
Kay and Larry race around a running track. Kay runs at a constant rate of one lap every 9 minutes and Larry runs at a constant rate of one lap every 11 minutes. If they both start at the same time, how many minutes will it take for Kay to get exactly one lap ahead of Larry?
Answer Choices: (A) 41.5 (B)... | 19,342 |
<|im_start|>user
Let y = 2g + x^2 and g = 4x + 1.
If g^2 = 625, then which of the following can be a value of 2y + 3g?
Answer Choices: (A) 100 (B) 130 (C) 141 (D) 142 (E) 247<|im_end|>
<|im_start|>assistant
<think>
</think>
800score Official Solution:
First note that g can either be 25 or -25. We are going to have to... | 20,327 |
<|im_start|>user
How many ways could five people sit at a table with eight seats in which three of the eight seats will remain empty?
Answer Choices: (A) 6720 (B) 6520 (C) 56 (D) 120 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
ways in which 5 seats out 8 can be selected = 8C5
ways in which 5 people can be... | 39,805 |
<|im_start|>user
If w persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Answer Choices: (A) z (B) x (C) x/y (D) z/x (E) y/z<|im_end|>
<|im_start|>assistant
<think>
</think>
the Q doesn't seem to be having the any correct answer as a choice..
since we are looking f... | 76,373 |
<|im_start|>user
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Answer Choices: (A) 40 (B) 45 (C) 50 (D) 60 (E) 70<|im_end|>
<|im... | 765 |
<|im_start|>user
WHEN A PERSON SELLS TWO ITEMS $600 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Answer Choices: (A) 1% loss (B) no loss no gain (C) 4% loss (D) 2% gain (E) 5% gain<|im_end|>
<|im_start|>assistant
<think>
</think>
When two items are sold at the same ... | 43,388 |
<|im_start|>user
When n is divided by 19, the remainder is 6 . When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Answer Choices: (A) 3 (B) 7 (C) 10 (D) 13 (E) nineteen<|im_end|>
<|im_start|>assistant
<think>
</think>
N = 19 q +... | 61,743 |
<|im_start|>user
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 2500 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
Answer Choices: (A) 2160 (B) 2350 (C) 2000 (D) 2300 (E) None of ... | 1,253 |
<|im_start|>user
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Answer Choices: (A) 11 min (B) 56 min (C) 13 min (D) 20 min (E) 19 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed Ratio = 1:4/5 = 5:4Time Ratio
= 4:51 -------- 5 4 --------- ? è 20
The answer is D<|end... | 24,874 |
<|im_start|>user
The sum of two numbers is 65. Their difference is 5. The bigger number is
Answer Choices: (A) 20 (B) 25 (C) 30 (D) 35 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
X + Y = 65
X - Y = 5
Adding 2X = 70 ==> X = 35 and Y = 65 - 35 = 30
Bigger number is X = 35
The answer is D<|endoftext|> | 21,168 |
<|im_start|>user
Find number which is 80% less than 80.
Answer Choices: (A) 18 (B) 22 (C) 28 (D) 26 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
80% less is 20% of the given number
Therefore, 20% of 80 is 16.
The answer is E<|endoftext|> | 86,355 |
<|im_start|>user
A coin is tossed live times. What is the probability that there is at the least one tail?
A. 31/32 B. 1/16
Answer Choices: (A) 31/32 (B) 31/89 (C) 31/25 (D) 31/17 (E) 31/13<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed f... | 1,651 |
<|im_start|>user
One soap can be made out of the scraps obtained while preparing 11 soaps. How many soaps can be prepared out of the scrap obtained out of 251 soaps. (Take all possibilities)
Answer Choices: (A) 24 (B) 25 (C) 26 (D) 27 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
From 242 soap scraps, we ca... | 36,000 |
<|im_start|>user
A present value of a machine is $800. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Answer Choices: (A) $900 (B) $810 (C) $915 (D) $715 (E) $648<|im_end|>
<|im_start|>assistant
<think>
</think>
P= $800
R = 10%
T = 2 years
Machine value after 2 years = P[(1-R/100... | 33,331 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 6,145 |
<|im_start|>user
A man can row 36 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream?
Answer Choices: (A) 14 kmph (B) 12 kmph (C) 18 kmph (D) 1 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let man's rate upsteam be X... | 47,677 |
<|im_start|>user
Choose the missing terms out of the given alternatives.
JE, LH, OL, SQ, ?
Answer Choices: (A) XW (B) DT (C) WV (D) WX (E) VW<|im_end|>
<|im_start|>assistant
<think>
</think>
A
XW
The first letter moves 2, 3, 4 ... steps forward. The second letter moves 3, 4, 5 ... steps forward
The answer is A<|endof... | 83,088 |
<|im_start|>user
The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Answer Choices: (A) 93 Kg (B) 50 Kg (C) 85 Kg (D) 80 Kg (E) 60 KG<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total increase in ... | 14,751 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 2,075 |
<|im_start|>user
There are between 110 and 120 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Answer Choices: (A) 111 (B) 113 (C) 115 (D) 117 (E) 119<|im_end|>
<|im_start|>as... | 35,327 |
<|im_start|>user
If 2x+3y+z=55,x-y=4 and y - x + z=12,then what are the values of x , y and z?
Answer Choices: (A) 7,11,8 (B) 5,8,9 (C) 4,2,5 (D) 3,9,8 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
The given equations are:
2x+3y+z=55 …(i); x + z - y=4 …(ii); y -x + z =12 …(iii)
Subtracting (ii) fr... | 71,055 |
<|im_start|>user
1/3 -2/5+1/2 - 5/6 + 1/5 + 1/4 - 9/20 =
Answer Choices: (A) 0 (B) 2/15 (C) 2/5 (D) 9/20 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to determine the result of 1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20
Let’s add the given fractions in two groups. In the group of the first three fractions... | 13,408 |
<|im_start|>user
With # andeach representing different digits in the problem below, the difference between #and ## is 712. What is the value of?
#
-##
____
712
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
100x
-(10x +x)
-----------
89 x= 712
x = 8
B
The answer is B<... | 46,956 |
<|im_start|>user
A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Answer Choices: (A) 18 (B) 77 (C) 66 (D) 55 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
8/20 + 6/x = 1
X = 10 days
The... | 48,616 |
<|im_start|>user
(A% of 2B + B% of A) is equal to ?
Answer Choices: (A) A% of B (B) B% of A (C) 3% of AB (D) AB% of 3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
A% of 2B + B% of A =2AB/100 + AB/100
= 23AB/100 = 3% of AB
Correct Option: C
The answer is C<|endoftext|> | 5,603 |
<|im_start|>user
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Answer Choices: (A) 15 Kmph (B) 17 Kmph (C) 21 Kmph (D) 23 Kmph (E) 27 Kmph<|im_end|>
<|im_start|>assistant
<think>
</th... | 6,220 |
<|im_start|>user
A and B started business in partnership investing Rs. 20,000 and Rs. 18,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Answer Choices: (A) A) 7500 (B) B) 7389 (C)... | 84,266 |
<|im_start|>user
In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys ?
Answer Choices: (A) 22 (B) 25 (C) 88 (D) 17 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
The toys are different; The boxes are identical
If none of... | 81,871 |
<|im_start|>user
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Answer Choices: (A) 20% (B) 35% (C) 95% (D) 15% (E) 25%<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that, cost price of 50 article is equal to selling price of 40 articles.
Let ... | 27,017 |
<|im_start|>user
A fair coin is tossed repeatedly. If heads appears on first 6 tosses what is the probability that tail appears on the next two tosses?
Answer Choices: (A) 1/6 (B) 1/5 (C) 1/3 (D) 1/4 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Like mentioned in the question, the coin is fai... | 91,334 |
<|im_start|>user
What is formed when a monomer of glucose and a monomer of fructose are joined in a dehydration reaction to form a glycosidic bond?
Answer choice: (A) fructose (B) sulfate (C) sucrose (D) chloride<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 3.7 Sucrose is formed when a monomer of glucose a... | 4,375 |
<|im_start|>user
At 3.40, the hour hand and the minute hand of a clock form an angle of
Answer Choices: (A) 378 (B) 277 (C) 297 (D) 267 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol:
Use formula θ=∣∣∣30h−112m∣∣∣θ=|30h−112m|
Angle = 30×3 – 11/2 × 40 = 90 – 220 = 130°
The answer is E<|endoftext|> | 68,572 |
<|im_start|>user
Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is ?
Answer Choices: (A) 12628 (B) 12228 (C) 22812 (D) 12727 (E) 11922<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of... | 4,867 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that expresses a complete thought.
The band I'm in has been rehearsing daily because we have a concert in two weeks.
A sentence fragment is a group of words that does not express a complete tho... | 1,450 |
<|im_start|>user
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Answer Choices: (A) 157.53 (B) 157.59 (C) 157.5 (D) 157.51 (E) 157.56<|im_end|>
<|im_start|>assistant
<think>
</think>
(3500*1.5*3)/100 => 157.50
The answer is C<|en... | 50,962 |
<|im_start|>user
In a kilometer race, A can give B a 100 m start and C a 150 m start. How many meters start can B give to C?
Answer Choices: (A) 50 (B) 50/9 (C) 8500/9 (D) 500/9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
A can give B a 100 m start and C a 150m. Start means when A runs 1000m, B... | 62,349 |
<|im_start|>user
In how many different ways can the letter of the word 'DEIFY' be arranged in such a way that the vowels occupy the odd positions?
Answer Choices: (A) 45 (B) 36 (C) 12 (D) 24 (E) 85<|im_end|>
<|im_start|>assistant
<think>
</think>
In the given word there 5 letters in that there are 2 vowels and 3 cons... | 38,622 |
<|im_start|>user
Find the simple interest on Rs.580 for 11 months at 9 paisa per month?
Answer Choices: (A) 574 (B) 270 (C) 566 (D) 266 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
I = (580*11*9)/100 = 574
The answer is A<|endoftext|> | 7,371 |
<|im_start|>user
The cell expels waste and other particles through a process called what?
Answer choice: (A) exocytosis (B) biosynthesis (C) metamorphisis (D) endocytosis<|im_end|>
<|im_start|>assistant
<think>
</think>
3.6 Active Transport The combined gradient that affects an ion includes its concentration gradient... | 11,331 |
<|im_start|>user
The different types of what systems work together to carry out all the life functions of the individual?
Answer choice: (A) maturation systems (B) organ systems (C) digestive systems (D) heartbeat systems<|im_end|>
<|im_start|>assistant
<think>
</think>
Organ systems are organized into the organism. ... | 1,487 |
<|im_start|>user
Which is equal to 11?
Answer Choices: (A) 1.1 (B) -11 (C) 11/11 (D) 11/1 (E) 1/11<|im_end|>
<|im_start|>assistant
<think>
</think>
11/1 is equal to 11.
The answer is D<|endoftext|> | 87,480 |
<|im_start|>user
If Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Answer Choices: (A) 12x/y (B) 12y/x (C) x/(12y) (D) 13/(xy) (E) xy/12<|im_end|>
<|im_start|>assistant
<think>
</think>
This problem is testing us on the Rate x Time = Distance relationship. T... | 94,156 |
<|im_start|>user
Aaron will jog from home at 3 miles per hour and then walk back home by the same route at 6 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Answer Choices: (A) 3 (B) 6 (C) 2 (D) 5 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
x... | 78,768 |
<|im_start|>user
What is the first part of the large intestine, where wastes enter from the small intestine?
Answer choice: (A) bowel (B) esophagus (C) the cecum (D) stomach<|im_end|>
<|im_start|>assistant
<think>
</think>
The cecum is the first part of the large intestine, where wastes enter from the small intestine... | 5,115 |
<|im_start|>user
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?
Answer Choices: (A) 220044 (B) 145778 (C) 220400 (D) 220014 (E) 220040<|im_end|>
<|im_start|>assistant
<think>
</think>
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220040
E
The an... | 64,207 |
<|im_start|>user
A cistern which could be filled in 9 hours takes 1 hour more to be filled owing to a leak in its bottom.If the cistern is full, in what time will the leak empty it?
Answer Choices: (A) 50hours (B) 62hours (C) 90hours (D) 75hours (E) 100hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the le... | 41,315 |
<|im_start|>user
If x/|y| = -2 which of the following must be true?
Answer Choices: (A) x = -y (B) x = y (C) x = y^2 (D) x^2 =4* y^2 (E) x^3 = y^3<|im_end|>
<|im_start|>assistant
<think>
</think>
x/|y| = -2
x= -2 |y|
Squaring both sides
x^2= (-2 |y|) ^2= 4*y^2
D is
The answer is D<|endoftext|> | 54,486 |
<|im_start|>user
The mean of 50 observations was 36. It was found later that an observation 43 was wrongly taken as 23. The corrected new mean is
Answer Choices: (A) 35.2 (B) 36.1 (C) 36.2 (D) 36.4 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Correct sum= (36x50+43-23)
= 1820.
∴ Correct mean= ... | 69,023 |
<|im_start|>user
What is the smallest five digit number that is divisible by 15, 32, 45, and 54?
Answer Choices: (A) 11260 (B) 11860 (C) 12360 (D) 12960 (E) 13560<|im_end|>
<|im_start|>assistant
<think>
</think>
15 = 3 * 5
32 = 2^5
45 = 3^2 * 5
54 = 2 * 3^3
LCM = 2^5 * 3^3 * 5 = 4320
The smallest five-digit number th... | 5,845 |
<|im_start|>user
How many digits are in the number 50^8 × 8^3 × 11^3?
Answer Choices: (A) 22 (B) 20 (C) 19 (D) 18 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's ... | 73,737 |
<|im_start|>user
The ratio of two quantities is 7 to 12. If each of the quantities is divided by 3, what is the ratio of these 2 new quantities?
Answer Choices: (A) 3.5:6 (B) 14:24 (C) 7:12 (D) 2.3:4 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
If both sides ... | 54,806 |
<|im_start|>user
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Answer Choices: (A) 18% (B) 28% (C) 34% (D) 39% (E) 93%<|im_end|>
<|im_start|>assistant
<think>
</think>
1500 ---- 270
100 ---- ? => 18%
The answer is A<|endoftext|> | 28,316 |
<|im_start|>user
Evaluate permutation
3P3
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
nPn=n!
3P3=3∗2∗1=6
Option A
The answer is A<|endoftext|> | 7,930 |
<|im_start|>user
What is the square root of 261,121?
Answer Choices: (A) 476 (B) 489 (C) 497 (D) 511 (E) 524<|im_end|>
<|im_start|>assistant
<think>
</think>
1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.
2) B = 489^2 and D = 511^2
B = (500-11)^2 and... | 60,955 |
<|im_start|>user
By investing Rs. 1800 in 9% stock, Syam earns Rs. 120. find out the stock is then quoted at which rate?
Answer Choices: (A) 130 (B) 135 (C) 140 (D) 150 (E) 145<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume that face value = Rs.100.
Dividend per share = Rs.9 (as it is a 9% stock)
By investin... | 50,209 |
<|im_start|>user
Two numbers are less than third number by 60% and 74% respectively. How much percent is the second number less than by the first ?
Answer Choices: (A) 18% (B) 29% (C) 35% (D) 41% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the third number is x.
then first num... | 8,281 |
<|im_start|>user
What is the measure of the angle X made by the diagonals of the any adjacent sides of a cube.
Answer Choices: (A) 30 (B) 45 (C) 60 (D) 75 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
C.. 60 degrees
All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we for... | 56,953 |
<|im_start|>user
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Answer Choices: (A) 17/27 (B) 17/70 (C) 17/90 (D) 17/20 (E) 17/23<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8... | 67,666 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder
Answer Choices: (A) 1209 (B) 1615 (C) 1245 (D) 1300 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number... | 3,444 |
<|im_start|>user
At what rate percent on simple interest will a sum of money double itself in 30 years?
Answer Choices: (A) 3 1/3% (B) 8 1/3% (C) 3 5/3% (D) 5 1/3% (E) 3 1/7%<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*30*R)/100
R = 3 1/3%
The answer is A<|endoftext|> | 43,039 |
<|im_start|>user
If n = 8^8 – 5, what is the units digit of n?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
8 ^ 8 - 8 = 8 (8 ^ 7 - 1)
==> 8 (2 ^ 21 - 1)
Last digit of 2 ^ 21 is 2 based on what explanation LiveStronger is saying. 2 ^ 24 - 1 yields 2 - 1 = 1 as the unit... | 96,268 |
<|im_start|>user
In how many ways can be 7 boys and 7 girls sit around circular table so that no two boys sit next to each other?
Answer Choices: (A) (5!) ^2 (B) (6!) ^2 (C) 6!7! (D) 11! (E) (5!) ^2*6!<|im_end|>
<|im_start|>assistant
<think>
</think>
first fix one boy and place other 6 in alt seats so total ways is 6... | 44,720 |
<|im_start|>user
How many points (x, y) lie on the line segment between (22, 12 2/3) and (16, 17 2/3) such that x and y are both integers?
Answer Choices: (A) 1 (B) 5 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
slope = (17 2/3 - 12 2/3) / (16 - 22) = -5/6
y = mx + b => 12 2/3 = -22*5/6 + b => b... | 5,009 |
<|im_start|>user
The cost of the paint is rs.40 per kg. if 1kg of paint covers 20 sq.ft, how much will it cost to paint outside of a cube having 30 feet each side
Answer Choices: (A) Rs.962 (B) Rs.672 (C) Rs.546 (D) Rs.10800 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
surface area ... | 54,234 |
<|im_start|>user
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Answer Choices: (A) 36 (B) 81 (C) 100 (D) 324 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
81 = 9^2 so it can not be the square of an even number multiplied by an o... | 19,647 |
<|im_start|>user
Steve traveled the first 2 hours of his journey at 30 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Answer Choices: (A) 68 mph (B) 56.67 mph (C) 60 mph (D) 64 mph (E) 66.67 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Ave... | 68,403 |
<|im_start|>user
If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
Answer Choices: (A) . I only (B) II only (C) III only (D) I and II only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Factors of 30 are 1,2,3,6,... | 18,792 |
<|im_start|>user
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio T of students per class?
Answer Choices: (A) T=3 (B) T=4 (C) 6 (D) 8 (E) 12<|im_end|>
<|i... | 58,616 |
<|im_start|>user
Triangle ATriangle B are similar triangles with areas 1536 units square and 1734 units square respectively. The ratio of there corresponding height would be
Answer Choices: (A) 9:10 (B) 17:19 (C) 23:27 (D) 16:17 (E) 15:23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the height of triangl... | 16,865 |
<|im_start|>user
Three cubes of sides 5 m, 4 m, and 3 m are melted to form a new cube. Find the surface of the new cube?
Answer Choices: (A) 236 (B) 256 (C) 216 (D) 246 (E) 206<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume of the new cube = [ 5(power)3 + 4(power)3 + 3(power)3 ] Cm(power)3
= 125 + 64 + 27 = ... | 63,136 |
<|im_start|>user
I flew my tiny seaplane to visit my mother. On the flight up, I flew at 96 mph. On the way home, I flew 88 mph. What was my average speed for the trip?
Answer Choices: (A) 198 mph (B) 110 mph (C) 92 mph (D) 100 mph (E) 99 mph<|im_end|>
<|im_start|>assistant
<think>
</think>
(96 mph +88 mph)/2= 92 mph... | 71,192 |
<|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.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 3,264 |
<|im_start|>user
Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 20% slower than the second car's speed. If the distance between the cars is 1125 km, how many hours will it take until the two cars meet?
Answer Choices: (A) 4 (B) 4.5 (C) 4.8 (D) 5 (E) 5.5<|im_end|>
<|i... | 93,170 |
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