text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic element... | 53,661 |
<|im_start|>user
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?
Answer Choices: (A) $3,000 (B) $4,000 (C) $7,000 (D) $11,000 (E) $25,000<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 27,390 |
<|im_start|>user
We have 7 people and 4 chairs. In how many ways chairs can be occupy?
Answer Choices: (A) 840 (B) 720 (C) 650 (D) 914 (E) 796<|im_end|>
<|im_start|>assistant
<think>
</think>
no. of ways they can be occupy = 7*6*5*4 = 840
The answer is A<|endoftext|> | 28,806 |
<|im_start|>user
In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 7 ?
Answer Choices: (A) −9/2 (B) -4 (C) -3/2 (D) 4 (E) 9/2<|im_end|>
<|im_start|>assistant
<think>
</think>
2x - cy = 18
x=6, y=2;
12-2c=18
c=-3
2x-cy=18
when y=7, c=-3, x=
x=-3/2
T... | 69,438 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 843 |
<|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) 240 m (B) 200 m (C) 500 m (D) 360 m (E) 489 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = ... | 54,101 |
<|im_start|>user
If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)?
Answer Choices: (A) 0.28 (B) 0.36 (C) 0.45 (D) 0.56 (E) 0.7<|im_end|>
<|im_start|>assistant
<think>
</think>
P(B|A) = P(A n B)/P(A)
P(A n B) = P(B|A) × P(A)
P(A n B) = 0.2 × 0.18
P(A n B) = 0.36
B)
The answer is B<|endoftext|> | 68,450 |
<|im_start|>user
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability T this colle... | 6,129 |
<|im_start|>user
A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?
Answer Choices: (A) 32 (B) 36 (C) 38 (D) 40 (E) 42<|im_end|>
<|im_start|>assista... | 91,359 |
<|im_start|>user
Specific scents are often associated with what?
Answer choice: (A) memories (B) pheromones (C) behaviors (D) instincts<|im_end|>
<|im_start|>assistant
<think>
</think>
Specific scents are often associated with our memories of places and events. That's because scents are more novel or specific than sh... | 8,496 |
<|im_start|>user
If two painters can complete four rooms in two hours, how many painters would it take to do 24 rooms in 8 hours?
Answer Choices: (A) 7 (B) 8 (C) 4 (D) 6 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Two painters can complete four rooms in two hours.So 24 rooms can be painted in ... | 90,815 |
<|im_start|>user
8, 12, 18, 27, 40.5, (...)
Answer Choices: (A) 60 (B) 60.75 (C) 58 (D) 89 (E) 88<|im_end|>
<|im_start|>assistant
<think>
</think>
8
(8×3)÷ 2 = 12
(12×3)÷ 2 = 18
(18×3)÷ 2 = 27
(27×3)÷ 2 = 40.5
(40.5×3)÷ 2 = 60.75
The answer is B<|endoftext|> | 41,038 |
<|im_start|>user
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 1:2 (B) 3:4 (C) 2:5 (D) 3:7 (E) 2:1<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The rat... | 90,061 |
<|im_start|>user
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 7 sec (B) 8 sec (C) 9 sec (D) 6 sec (E) 1 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 60/36 * 18/5
= 6 sec
The answer is D<|endoftext|> | 76,268 |
<|im_start|>user
A question paper has 2 parts, A & B, each containing 8 questions. If a student has to choose 8 from part A &4 from part B, in how many ways can he choose the questions?
Answer Choices: (A) 110 (B) 70 (C) 120 (D) 130 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
There 8 questions in part A ... | 77,505 |
<|im_start|>user
A father told his son "I was as old as you are at present, at the time of your birth". If the father is 38 years old now, then what was the son's age five years ago in years?
Answer Choices: (A) 14 (B) 19 (C) 38 (D) 33 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
et son's present age is =x... | 8,936 |
<|im_start|>user
If six persons sit around a table, the probability that some specified three of them are always together is
Answer Choices: (A) 1/20 (B) 3/10 (C) 1/5 (D) 4/5 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
There are six persons and three of them are grouped together. Since it is a circle, th... | 20,220 |
<|im_start|>user
12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
Answer Choices: (A) 18 (B) 15 (C) 16 (D) 12 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Capacity of each... | 9,916 |
<|im_start|>user
If the compound interest on a certain sum of money for 5 years at 10% per annum be Rs. 993, what would be the simple interest?
Answer Choices: (A) Rs. 1500 (B) Rs. 890 (C) Rs. 895 (D) Rs. 900 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P = Principal
A - Amount
We have a = P(1 + R/10... | 25,347 |
<|im_start|>user
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?
Answer Choices: (A) a) 4... | 84,593 |
<|im_start|>user
In how many ways CM and Minister be elected from a team of 12 members?
Answer Choices: (A) 128 (B) 130 (C) 132 (D) 139 (E) 142<|im_end|>
<|im_start|>assistant
<think>
</think>
To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 wa... | 69,008 |
<|im_start|>user
Rs.8000 become Rs.8988.80 in a certain interval of time at the rate of 6% per annum of C.I. Find the time?
Answer Choices: (A) 6 years (B) 8 years (C) 9 years (D) 3 years (E) 2 years<|im_end|>
<|im_start|>assistant
<think>
</think>
8988.80 = 8000(53/50)N
(53/50)^2 = (53/50)^N
N = 2
At the end of two ... | 44,425 |
<|im_start|>user
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 4/5. Find the fraction?
Answer Choices: (A) A) 2/3 (B) B) 5/7 (C) C) 4/7 (D) D) 5/9 (E) E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 29,574 |
<|im_start|>user
How many different ways can you select a pilot and a co pilot if you have 40 people to choose from?
Answer Choices: (A) 199 (B) 200 (C) 398 (D) 4950 (E) 1560<|im_end|>
<|im_start|>assistant
<think>
</think>
You are not just choosing two from 40. Each of the two people chosen fills a particular s... | 80,622 |
<|im_start|>user
What is the highest integer that is the sum of 2 distinct prime integers, each smaller than 80 ?
Answer Choices: (A) 140 (B) 152 (C) 153 (D) 169 (E) 176<|im_end|>
<|im_start|>assistant
<think>
</think>
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other ... | 18,839 |
<|im_start|>user
11 persons are sittingin a row. how many ways can 11 persons be arranged in a row such that 3 persons should always be together?
Answer Choices: (A) 7!×2! (B) 10!×1! (C) 9!×3! (D) 8!×2! (E) 6!×3!<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that three particular persons should always be tog... | 25,026 |
<|im_start|>user
If 70 percent of the members of a certain organization are women and 7/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization... | 5,378 |
<|im_start|>user
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $420 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Answer Choices: (A) 120 (B) 180 (C) 240 (D) 280 (E) 320<|im_end|>
<|im_start|>assistant
<think>
</think>
3x=420
x=140
Therefore, the ... | 73,782 |
<|im_start|>user
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Answer Choices: (A) 31.7 (B) 31.1 (C) 31.6 (D) 31.4 (E) 31.8<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4
= 31.6
The answer is C<|endoftext|> | 45,026 |
<|im_start|>user
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 44 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R... | 96,705 |
<|im_start|>user
What subphylum, which includes crabs and crayfish, represents the dominant aquatic arthropods?
Answer choice: (A) arachnids (B) sponges (C) crustaceans (D) invertebrates<|im_end|>
<|im_start|>assistant
<think>
</think>
Crustaceans, such as shrimp, lobsters, crabs, and crayfish, are the dominant aquat... | 7,992 |
<|im_start|>user
Three cubes of metal whose edges are 9, 12 and 24 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Answer Choices: (A) 28 (B) 77 (C) 66 (D) 18 (E) 25.3<|im_end|>
<|im_start|>assistant
<think>
</think>
93 + 123 + 243 = a3 => a
= 25.3
The answer is E<|endoftext|> | 26,385 |
<|im_start|>user
Two trains of length 100 m and 200 m are 150 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Answer Choices: (A) 21/9 sec (B) 32/3 sec (C) 20/7 sec (D) 32/3 sec (E) 30/7 sec<|im_end|>
<|im_start|>assistant
<think... | 83,294 |
<|im_start|>user
What is the probability of getting a sum 9 from two throws of a dice?
Answer Choices: (A) 1/5 (B) 1/9 (C) 1/7 (D) 1/12 (E) 1/6<|im_end|>
<|im_start|>assistant
<think>
</think>
In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
P(E) = n(E)/n... | 42,241 |
<|im_start|>user
When 4 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Answer Choices: (A) 1 (B) 4 (C) 8 (D) 31 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Total outcome is 2^4 = 16
Favourable cases = H_ _ H
The second and third places can be occ... | 89,615 |
<|im_start|>user
When calculating impulse, consider the change in _______ of one of the objects in the collision?
Answer choice: (A) momentum (B) sound (C) potential energy (D) velocity<|im_end|>
<|im_start|>assistant
<think>
</think>
the initial momentum of an object. When calculating impulse, consider the change in... | 945 |
<|im_start|>user
After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Answer Choices: (A) 3347 (B) 2788 (C) 5000 (D) 2787 (E) 2811<|im_end|>
<|im_start|>assistant
<thin... | 32,945 |
<|im_start|>user
In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
Answer Choices: (A) 16% (B) 27% (C) 32% (D) 40% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
answer b
male-employed - 64%
f... | 12,844 |
<|im_start|>user
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Answer Choices: (A) 1.2 (B) 1.9 (C) 1.7 (D) 1.5 (E) 1.1<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + ... | 34,009 |
<|im_start|>user
Which of the following will give a non-integer on taking cube root?
Answer Choices: (A) –64 (B) –1 (C) 8 (D) 9 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
all except 9, square root of 9 is 3 which is an integer but cube root is not an integer
so
The answer is D<|endoftext|> | 78,894 |
<|im_start|>user
Pipe A can fill a tank in 5 hours, pipe B in 10 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) 3 (C) 3.5 (D) 4 (E) 4.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30... | 14,448 |
<|im_start|>user
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is
Answer Choices: (A) 4 km (B) 8 km (C) 6 km (D) 12 km (E) None of these<|im_end|>
<|im_start|>assista... | 12,661 |
<|im_start|>user
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 743.095 + ?
Answer Choices: (A) 870 (B) 790 (C) 780 (D) 770 (E) 890<|im_end|>
<|im_start|>assistant
<think>
</think>
? = 285 + 1895 – 655 – 745 or, ? = 780
The answer is C<|endofte... | 7,140 |
<|im_start|>user
Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Answer Choices: (A) 18 (B) 19 (C) 20 (D) 21 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
22 trees have 21 gaps betw... | 86,956 |
<|im_start|>user
A restaurant meal cost $38.75 and there was no tax. If the tip was more than 20 percent but less than 25 percent of the cost of the meal, then the total amount paid must have been between
Answer Choices: (A) $40 and $42 (B) $39 and $41 (C) $38 and $40 (D) $37 and $39 (E) $46 and $48<|im_end|>
<|im_star... | 30,010 |
<|im_start|>user
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Answer Choices: (A) 3/19 (B) 5/16 (C) 3/11 (D) 3/10 (E) 3/14<|im_end|>
<|im_start|>assistant
<think>
</think... | 10,954 |
<|im_start|>user
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 14 miles, how many miles was Mike's ride?
Answer ... | 16,870 |
<|im_start|>user
A coin is tossed live times. What is the probability that there is at the least one tail?
Answer Choices: (A) 31/32 (B) 31/38 (C) 31/34 (D) 31/31 (E) 31/36<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= Ther... | 43,949 |
<|im_start|>user
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of X/Y ?
Answer Choices: (A) 3. (B) 2. (C) 1/2. (D) 1/3. (E) There isn't enough data to answer the question.<|im_end|>
<|im_start|>assista... | 50,537 |
<|im_start|>user
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Answer Choices: (A) 30 birds (B) 22 birds (C) 18 birds (D) 38 birds (E) 28 birds<|im_end|>
<|im_start|>assistant
<think>
</think>
Let total number of shots =x
Shots fired... | 11,708 |
<|im_start|>user
If a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides?
Answer Choices: (A) 4 (B) 7 (C) 8 (D) 13 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
This question can be solved algebraically or by TESTing THE ANSWERS.
W... | 7,352 |
<|im_start|>user
Joe bought a coffee maker for a 25% off the original price. If the coffee maker cost him $61.35, what is the original selling price of the coffee maker?
Answer Choices: (A) $76.69 (B) $107.36 (C) $83.45 (D) $79.80 (E) None of these.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
CP of ... | 63,023 |
<|im_start|>user
If x/2 = y/4 = z/6, then find the value of (x + y + z)/z
Answer Choices: (A) 1/3 (B) 1/4 (C) 1/6 (D) 1/8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x/2 = y/4 = z/6 = k, Then x = 2k, y = 4k and z = 6k.
Now, (x + y + z)/z = (2k + 4k + 6k)/6k = 12k/6k = 2
The answer ... | 65,129 |
<|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... | 6,327 |
<|im_start|>user
Ritesh and Co. generated revenue of Rs. 1,600 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Answer Choices: (A) 12.5% (B) 19.53% (C) 25% (D) 50% (E) None of these<|im_end|>
<|im_start|>assistant
<think... | 13,467 |
<|im_start|>user
Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.6%, what fraction of the ... | 28,630 |
<|im_start|>user
If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?
Answer Choices: (A) 5:3 (B) 4:3 (C) 6:3 (D) 3:4 (E) 5:4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be p &... | 71,529 |
<|im_start|>user
Which chemical element is the basis of all life on earth?
Answer choice: (A) carbon (B) oxygen (C) nitrogen (D) hydrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
Carbon is an element. Carbon is the basis of all life on Earth. Since carbon can combine with many other elements it forms a variet... | 1,586 |
<|im_start|>user
What kind of metals have perplexing patterns of electron distribution that don’t always follow the electron filling rules?
Answer choice: (A) solution (B) transition (C) transformation (D) variating<|im_end|>
<|im_start|>assistant
<think>
</think>
The transition metals are an interesting and challeng... | 5,152 |
<|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 $60000. Find his total income?
Answer Choices: (A) A) 1200000 (B) B) 562000 (C) C) 800000 (D) D) 500000 (E) E) 652000<... | 86,182 |
<|im_start|>user
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long it will take to fill the tank ?
Answer Choices: (A) 10 mins (B) 12 mins (C) 15 mins (D) 20 mins (E) 30 mins<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this typ... | 60,193 |
<|im_start|>user
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
Answer Choices: (A) A) 2 (B) B) 5 (C) C) 7 (D) D) 5 (E) E) 1<|im_end|>
<|im_start|>assistant
<t... | 9,599 |
<|im_start|>user
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 40 vehicles that are not Speedsters, how many Speedster conve... | 27,252 |
<|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... | 6,291 |
<|im_start|>user
A cistern which could be filled in 5 hours takes one 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) 76 hrs (B) 99 hrs (C) 55 hrs (D) 90 hrs (E) 10 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
1/5 - 1/x = 1/... | 53,739 |
<|im_start|>user
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 3 ?
Answer Choices: (A) 95 (B) 106 (C) 122 (D) 116 (E) 122<|im_end|>
<|im_start|>assistant
<think>
</think>
Average = total runs / no.of innings = 32
S... | 81,812 |
<|im_start|>user
Average monthly income of a family of 3 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Answer Choices: (A) Rs. 692.80 (B) Rs. 905 (C) Rs. 990 (D) Rs. 1385 (E) None<|im_end|>
<|im_start|>assistant
<think... | 97,009 |
<|im_start|>user
If 2x + y + 3z = 10 ,-3x - 2y + 7z = 5 ,3x + 3y - 4z = 7 , what is the value of x ?
Answer Choices: (A) 3 (B) 6 (C) 4 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2x + y + 3z = 10 –-------I
-3x - 2y + 7z = 5 –------ II
3x + 3y - 4z = 7 -------- III
add II and III
-3x ... | 28,160 |
<|im_start|>user
What is the term for a particle from outside the cell engulfing the cells membrane?
Answer choice: (A) endocytosis (B) metastasis (C) endometriosis (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
In endocytosis, a substance or particle from outside the cell is engulfed by the cell membra... | 3,484 |
<|im_start|>user
Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs. 6500 for 2 years at 14% per annum. The sum placed on simple interest is
Answer Choices: (A) Rs.6500 (B) Rs.1947.4 (C) Rs.973.7 (D) Rs.2000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</thin... | 16,008 |
<|im_start|>user
Carl can wash all the windows of his house in 8 hours. His wife Maggie can wash all the windows in 4 hours. How many hours will it take for both of them working together to wash all the windows?
Answer Choices: (A) 2 (B) 2 1/4 (C) 3 2/2 (D) 4 1/2 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 14,854 |
<|im_start|>user
The average runs scored by a batsman in 10 matches is 40. In the next 10 matches the batsman scored an average of 30 runs. Find his average in all the 20 matches?
Answer Choices: (A) 31 (B) 35 (C) 88 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score of the batsman in 10 match... | 51,584 |
<|im_start|>user
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Answer Choices: (A) 2/3 (B) 8/21 (C) 3/7 (D) 9/22 (E) 10/21<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total number of balls = (8 + 7 + 6)... | 44,687 |
<|im_start|>user
(3164 + 6160) / 28
Answer Choices: (A) 380 (B) 350 (C) 333 (D) 310 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
As per BODMAS rule, first we will solve the equation in bracket then we will go for division
= (9324)/28 = 333
Option C
The answer is C<|endoftext|> | 66,308 |
<|im_start|>user
The averge score of a cricketer for ten matches is 64 runs. If the average for the first six matches is 78. Then find the average for the last four matches?
Answer Choices: (A) 48 (B) 49 (C) 40 (D) 43 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of last 4 matches = (10 × 64) – (6 × 78)... | 68,536 |
<|im_start|>user
Which type of lava lavas are less viscous and erupt effusively?
Answer choice: (A) Ultramafic lava (B) mafic (C) Intermediate lava (D) Felsic lava<|im_end|>
<|im_start|>assistant
<think>
</think>
Felsic lavas are more viscous and erupt explosively or do not erupt. Mafic lavas are less viscous and eru... | 6,891 |
<|im_start|>user
John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
Answer Choices: (A) 20 minutes. (B) 17 minutes. (C) 5 minutes. (D) 12 minutes. (E) 6 minutes.<|im_end|>
<|im_start|>assistant
<think>
</think>
The above problem could also be solved by dividing th... | 53,518 |
<|im_start|>user
ABCD is a square where AB =√6000. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.
Answer Choices: (A) 3008 (B) 2002 (C) 1008 (D) 2016 (E) 3000<|im_end|>
<|im_start|>assistant
<think>
</think>
Note that trapezoids AXY D and BXY C are congruent, s... | 60,865 |
<|im_start|>user
An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Answer Choices: (A) 12 (B) 19 (C) 6... | 49,746 |
<|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... | 4,759 |
<|im_start|>user
A mom and dad want to take thier 16 year old daughter, 14 year old son and 7 year old son on a trip to Six Flags. An adult ticket costs $25.50. A child under the age if 12 costs $20.50 and children under 5 are free. There is a promotion to get 15% off of two adult tickets when you buy two adult tickets... | 10,220 |
<|im_start|>user
If the selling price of 5 books is same as the cost price of 10 books. Find the gain or loss percentage?
Answer Choices: (A) 50% (B) 100% (C) 45% (D) 55% (E) 65%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the C.P of each book be Re 1. Then,
S.P of 5 books= C.P of 10 books= Rs. 10
Now, C.P o... | 96,509 |
<|im_start|>user
75 boys can complete a work in 26 days.how many men need to complete twice the work in 20 days
Answer Choices: (A) 160 (B) 195 (C) 180 (D) 190 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
one man can complete the work in 26*75=1950days = one time work
to Complete the work twice it will be... | 51,871 |
<|im_start|>user
What is the term for stored energy that an object has due to its position or shape?
Answer choice: (A) kinetic energy (B) mechanical energy (C) potential energy (D) vertical energy<|im_end|>
<|im_start|>assistant
<think>
</think>
A: Electric charges flow when they have electric potential energy. Pote... | 8,667 |
<|im_start|>user
What decimal fraction is 90 ml of a litre ?
Answer Choices: (A) .9 (B) .009 (C) .09 (D) 0.09 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Required fraction = 90/1000
= 9/100
= .09
Correct Option: C
The answer is C<|endoftext|> | 32,657 |
<|im_start|>user
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Answer Choices: (A) 8 1/3 (B) 8 1/6 (C) 8 1/2 (D) 8 1/9 (E) 8 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
(4000*3*R)/100
= (5000*5*4)/10... | 86,979 |
<|im_start|>user
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Answer Choices: (A) 0.5919 (B) 0.5904 (C) 0.5929 (D) 0.5928 (E) 0.594<|im_end|>
<|im_start|>assistant
<think>
</think>
P(winning prize atleast o... | 92,947 |
<|im_start|>user
If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, WITHOUT N VALUE?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
We're told that N = 4P and that P is a prime number greater than 2. Let's TEST P = 3... | 13,466 |
<|im_start|>user
What process occurs around day 14 of a 28-day menstrual cycle, triggered by the lh surge?
Answer choice: (A) sedimentation (B) fertilization (C) menstruation (D) ovulation<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 27.15 Hormone Levels in Ovarian and Menstrual Cycles The correlation of t... | 5,850 |
<|im_start|>user
Find the number of ways in which four men, two women and a child can sit at a table if the child is seated between two women.
Answer Choices: (A) 12 (B) 24 (C) 36 (D) 48 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of arrangements of n distinct objects in a row is given by n!n!.... | 35,760 |
<|im_start|>user
On a certain Monday, john drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 70 miles per hour. Which of the following is closest to his average speed for both trips combined?
Answer Choices: (A) 54 (B) 55 (C) 58.33 (D) 56 (E) 5... | 21,930 |
<|im_start|>user
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8800. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Answer Choices: (A) s.3300 (B) s.4570 (C) s.4500 (D)... | 36,132 |
<|im_start|>user
The markup on a shirt is 50 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Answer Choices: (A) 18% (B) 20% (C) 33 1/3% (D) 45% (E) 56 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
MP = 0.5 CP
SP = CP + 0.5 CP = 1.5 CP
hence MP = 0.5/... | 58,129 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 210 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 382 (B) 782 (C) 278 (D) 310 (E) 881<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the t... | 33,186 |
<|im_start|>user
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Answer Choices: (A) 220 (B) 222 (C) 223 (D) 224 (E) 225<|im_end|>
<|im_start|>assistant
<think>
</think>
distance = speed x time
Le... | 20,901 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true. Facts can be proved by observing, measuring, or studying information.
The flag of the United States has 13 stripes.
This is a fact. It can be proved by looking at the flag a... | 5,911 |
<|im_start|>user
If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=u
ii. u is not equal to v
iii. s > v
Answer Choices: (A) None (B) I only (C) II only (D) III only (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: 2s=2u+2v --> s=u+v. Now, since s, u, and... | 18,127 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 1,398 |
<|im_start|>user
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Answer Choices: (A) 3 1/5 Km (B) 3 1/7 Km (C) 4 1/5 Km (D) 4 1/7 Km (E) 5 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = S1*S2/... | 70,194 |
<|im_start|>user
On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 45 centimeters assuming that 1-inch is 2.54 centimeters?
Answer Choices: (A) 174.2 (B) 212 (C) 283 (D) 296 (E) 282.4<|im_end|>
<|im_start|>assistant
<think>
</think>
1.5 inch = 2.54*1.5 cm.
So, 2.54*... | 39,161 |
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