text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Answer Choices: (A) 887 m (B) 998 m (C) 55 m (D) 100 m (E) 44 m<|im_end|>
<|im_start|>assistant
<think>
</think>
A can give B (5... | 14,257 |
<|im_start|>user
A woman bought books at 30% discount on its original price. He sold it at a 90% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 33% (B) 22% (C) 44% (D) 55% (E) 66%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
C... | 60,771 |
<|im_start|>user
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Answer Choices: (A) 128.9 m (B) 127.5 m (C) 812.9 m (D) 127.7 m (E) 712.7 m<|im_end|>
<|im_start|>assistant
<think>
</think>
When A runs 1000 m, B runs 900 m and whe... | 34,133 |
<|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) 11292 (B) 31292 (C) 11392 (D) 11750 (E) 11729<|im_end|>
<|im_start|>assistant
<think>
</think>
200 + 130 = 330
800 - 330 = 470
20... | 76,179 |
<|im_start|>user
Find the unit digit in
(544)102+(544)103
Answer Choices: (A) 2 (B) 4 (C) 0 (D) 1 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required digit is =
(4)102+(4)103
as
(4)2
gives unit digit 6 so
(4)102
unit digit is 6 and
(4)103
unit digit is, unit digit of
6×4
= 4, so answer will b... | 9,140 |
<|im_start|>user
When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 7. When N is divided by (P + 2), the quotient is 10 and the remainder is 3. What is the value of N?
Answer Choices: (A) 151 (B) 331 (C) 511 (D) 43 (E) 87<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 25,856 |
<|im_start|>user
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 70 ?
Answer Choices: (A) 147 (B) 142 (C) 173 (D) 144 (E) 186<|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... | 29,690 |
<|im_start|>user
Energy comes in discrete packages called what?
Answer choice: (A) quasar (B) quanta (C) quota (D) quasi<|im_end|>
<|im_start|>assistant
<think>
</think>
Energy comes in discrete packages called quanta.
The answer is B<|endoftext|> | 5,373 |
<|im_start|>user
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?
Answer Choices: (A) 8 days (B) 10 days (C) 18 days (D) 28 days (E) 30 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If A can co... | 53,686 |
<|im_start|>user
Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr. The time of crossing each other, if they run in the opposite direction is
Answer Choices: (A) 322 sec (B) 14 sec (C) 11sec (D) 13 sec (E) 34 sec<|im_end|>
<|im_start|>assistant
<th... | 83,629 |
<|im_start|>user
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/10 for each additional day. How much does a vacation of b days cost, where b > 1.
Answer Choices: (A) (ab+9a) /5 (B) (ab+8a) /10 (C) (ab+9a) /2 (D) (ab+5a) /10 (E) (ab+9a) /10<|im_end|>
<|im_start|>assistant
<think>
... | 73,382 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 2,354 |
<|im_start|>user
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 64 ounces of nuts, representing a mixture of both brands, and 14 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used... | 3,823 |
<|im_start|>user
The manufacturer’s suggested retail price (MSRP) of a certain item is $60. Store A sells the item for 20 percent more than the MSRP. The regular price of the item at Store B is 30 percent more than the MSRP, but the item is currently on sale for 10 percent less than the regular price. If sales tax is 5... | 57,463 |
<|im_start|>user
Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209
Answer Choices... | 59,154 |
<|im_start|>user
if a bullet fired out of a gun weighs M, takes T time to leave the barrel where it has been accelerated to V, how much recoil force will the firearm (of weight X) exert against the user? (negate effect of muzzle blast)
Describe your answer as an equation for F=
Answer Choices: (A) F=XT (B) F=(MV) /T (C... | 8,420 |
<|im_start|>user
If 13 = 13w/(1-w) ,then (4w)2 =
Answer Choices: (A) 1/4 (B) 1/2 (C) 1 (D) 2 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
13-13w=13w
26w=13
w=1/2
4w=2
4w*2=2*2=4
The answer is E<|endoftext|> | 64,853 |
<|im_start|>user
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Answer Choices: (A) 1/2 (B) 1/2 (C) 8/15 (D) 9/20 (E) 9/24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Here, S = {1,... | 90,988 |
<|im_start|>user
The retail price of a washing machine is Rs.1265. If the manufacturer gains 10%, the wholesale dealer gains 15% and the retailer gains 25%, then the cost of the product is
Answer Choices: (A) Rs 800 (B) Rs 900 (C) Rs 700 (D) Rs 600 (E) Rs 500<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose t... | 75,538 |
<|im_start|>user
A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and
4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
Answer Choices: (A) 40 m (B) 10 m (C) 20 m (D) 30 m (E) 50 m<|im_end|>
<|im_start|>assistant
<think... | 7,463 |
<|im_start|>user
A man saves Rs 300 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Answer Choices: (A) Rs 962 (B) Rs 962.01 (C) Rs 662.02 (D) Rs 993.03 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=[300(21/20×21/2... | 18,352 |
<|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) 10000 (B) 14000 (C) 15000 (D) 16000 (E) 30000<|im_end|>
<|im_start|>assistant
<think>
</thin... | 83,206 |
<|im_start|>user
The average of four consecutive even numbers is 27. find the largest of these numbers?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
let the numbers be x,x+2,x+4 andx+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27
x=24.
Therefore the... | 29,528 |
<|im_start|>user
What is theleast number should be added to 410, so the sum of the number is completely divisible by 20?
Answer Choices: (A) 1 (B) 2 (C) 10 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
(410 / 20) gives remainder 10
10 + 10 = 20, So we need to add 10
The answer is C<|endoftext|> | 60,854 |
<|im_start|>user
A shop owner sells 90 oranges and gains SP of 20 oranges. Find the gain %?
Answer Choices: (A) 25 4/7% (B) 27 4/7% (C) 30 4/7% (D) 29 4/7% (E) 28 4/7%<|im_end|>
<|im_start|>assistant
<think>
</think>
Gain=20 oranges
Total 90 oranges
CP 90-20=70
(20/70)*100
=28 4/7%
The answer is E<|endoftext|> | 55,547 |
<|im_start|>user
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Answer Choices: (A) 32 (B) 36 (C) 38 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect propo... | 11,355 |
<|im_start|>user
The process of getting oxygen into the body and releasing carbon dioxide is called?
Answer choice: (A) respiration (B) osmosis (C) persperation (D) precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
The process of getting oxygen into the body and releasing carbon dioxide is called respira... | 7,951 |
<|im_start|>user
An athlete runs 200 metres race in 40 seconds. What is his speed?
Answer Choices: (A) 23 (B) 38 (C) 18 (D) 30 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=Distance/Time = 200/40 = 5 m/s = 5 * 18/5 = 3618 km/hr
The answer is C<|endoftext|> | 27,891 |
<|im_start|>user
The contents of a certain box consist of 40 apples and 30 oranges. How many oranges must be added to the box so that exactly 40% of the pieces of fruit in the box will be apples?
Answer Choices: (A) 40 (B) 50 (C) 60 (D) 70 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
apple = (apple + orang... | 54,307 |
<|im_start|>user
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Answer Choices: (A) 89/7 sec (B) 80/7 sec (C) 80/8 sec (D) 89/7 sec (E) 80/7 sec<|im_end|>
<|im_start|>assista... | 27,255 |
<|im_start|>user
A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kg. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight, in kg, of the heaviest box ?
Answer Choices: (A) 60 (B) 61 (C) 64 (D... | 93,281 |
<|im_start|>user
If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen?
Answer Choices: (A) 19/26 (B) 15/52 (C) 17/52 (D) 8/13 (E) 5/13<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 13 clubs and 2 red jacks and 2 red queen... | 26,788 |
<|im_start|>user
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
Answer Choices: (A) 2 p.m. on Tuesday (B) 2 p.m. on Wednesday (C) 3 p.m. on Thursday (D) 1 p.m. on Friday (E) None<|im_end|>
<|im_start|>assistant
<think>
... | 180 |
<|im_start|>user
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 60% at 20% profit. Find his % profit on total.
Answer Choices: (A) 24% (B) 20% (C) 26% (D) 28% (E) 35%<|im_end|>
<|im_start|>assistant
<think>
</think>
If the total quantity was 100
Then 40X 20% + 60 X20%= 20
This pr... | 7,149 |
<|im_start|>user
A factory produces x widgets per day. The factory's fixed costs are $7000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $6200 a day?
Answer Choices: (A) 42.33 (B) 90.33 (C) 168 (D) 220 (E) 400<|im_end|>
<|im_start|>as... | 40,612 |
<|im_start|>user
Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 20 Km/hr. Find her average speed during the whole journey?
Answer Choices: (A) 30Km/hr (B) 31.11Km/hr (C) 35Km/hr (D) 40Km/hr (E) 45km/hr<|im_end|>
<|im_start|>assistant
... | 10,011 |
<|im_start|>user
Which type of ferns have yellow sporangia and no leaves?
Answer choice: (A) Ostrich fern (B) Hothouse fern (C) whisk ferns (D) Boston fern<|im_end|>
<|im_start|>assistant
<think>
</think>
Forest and Kim Starr/Starr Environmental. Whisk ferns have yellow sporangia and no leaves . CC BY 3.0.
The answer... | 413 |
<|im_start|>user
Statement: According to a survey, the current water reservoir will deplete by 50% by 2050
Action:
I. Government of all the countries should appeal to all the citizens to use water carefully and avoid wastage.
II. Scientists should start finding an alternative solution to water.
Answer Choices: (A) Only... | 67,130 |
<|im_start|>user
If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then what is the value of f(-1.5)?
Answer Choices: (A) -4 (B) -3 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
If N=-1.5, then N^2=2.25.
The least integer that is greater than or equal... | 96,282 |
<|im_start|>user
What is the term for animals that defend their area?
Answer choice: (A) predatory (B) territorial (C) Grazing (D) contain<|im_end|>
<|im_start|>assistant
<think>
</think>
Some species of animals are territorial . This means that they defend their area. The area they defend usually contains their nest... | 9,515 |
<|im_start|>user
How can natural resources be classified from a human point of view?
Answer choice: (A) renewable or reversible (B) renewable or nonrenewable (C) recyclable or reusable (D) present or nonrenewable<|im_end|>
<|im_start|>assistant
<think>
</think>
From a human point of view, natural resources can be cla... | 9,101 |
<|im_start|>user
Charlie's lawn service fills up all their gas cans every Friday at Zeb's store. They have to get enough gas for 10 lawn mowers and 10 weed-eaters. The weed-eaters use 5 liters of gas each. The mowers us 60% more than the weedeaters.
Zeb charges .75 cents service per item. Fuel is .40 cents per liter. H... | 46,878 |
<|im_start|>user
35.62 + 408.926 + 48.2 = ?
Answer Choices: (A) 622.441 (B) 492.243 (C) 492.746 (D) 622.443 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
35.62 + 408.926 + 48.2 = 492.746.
The answer is C<|endoftext|> | 18,107 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Complete the sentence.
Amelia Earhart was a famous ().
Answer Choices: (A) artist (B) athlete (C) scientist (D) pilot<|im_end|>
<|im_start|>assistant
<think>
</think>
Amelia Earhart was a famous pilot. A pilot ... | 3,244 |
<|im_start|>user
Two trains 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10.9 sec (B) 13.8 sec (C) 53.8 sec (D) 10.8 sec (E) 11.52 sec<|im_end|>
<|im_start|>assistant
<think>
<... | 21,532 |
<|im_start|>user
What do marine autotrophs acquire in carbonic acid, its dissolved form?
Answer choice: (A) silicon dioxide (B) chlorine dioxide (C) carbon monoxide (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
The Biological Carbon Cycle Living organisms are connected in many ways, even between... | 3,549 |
<|im_start|>user
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer Choices: (A) 5.2 hrs (B) 2.9 hrs (C) 1.9 hrs (D) 7.2 hrs (E) 1.4 hrs<|im_end|>
<|im_start|>assistant
<t... | 1,065 |
<|im_start|>user
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 3 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Answer Choices: (A) 2/1 (B) 4/1 (C) 2/3 (D) 3/4 (E) 3/1<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that Milk/Water=4... | 94,237 |
<|im_start|>user
The simple interest on Rs. 20 for 6 months at the rate of 5 paise per rupeeper month is
Answer Choices: (A) 1.2 (B) 1.4 (C) 6 (D) 7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
S.I. = Rs. [20 * 5/100 * 6] = Rs. 6
The answer is C<|endoftext|> | 40,945 |
<|im_start|>user
At a tanning salon, customers are charged $10 for their first visit in a calendar month and $5 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one... | 90,216 |
<|im_start|>user
Alice and Bob race around a running track. Alice runs at a constant rate of one lap every 5 minutes and Bob runs at a constant rate of one lap every 6 minutes. If they both start at the same time, how many minutes will it take for Alice to get exactly one lap ahead of Bob?
Answer Choices: (A) 30 (B) 32... | 94,065 |
<|im_start|>user
Narasimha, Madhu and pavan started a business by investing Rs.1,20,000, Rs.1,35,000 and Rs 1, 50,000 respectively. Find the share of Pavan, out of an annual profit of Rs.56,700.
Answer Choices: (A) 21,0009 (B) 21,008 (C) 21,000 (D) 21,002 (E) 21,0382<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 93,544 |
<|im_start|>user
What is the approximate population on the earth?
Answer choice: (A) 9 trillion (B) 7 billion (C) 7.3 billion (D) 41 billion<|im_end|>
<|im_start|>assistant
<think>
</think>
There are approximately 7 billion humans on the planet. How long would it take some bacteria to make 7 billion copies of themsel... | 8,806 |
<|im_start|>user
A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 80 kmph, and 2 hours at a speed of 50 kmph.The average speed of the car is
Answer Choices: (A) 60.07 kmph (B) 55.38 kmph (C) 50.02 kmph (D) 44.02 kmph (E) None of these<|im_end|>
<|im_start|>assistant
<t... | 60,006 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
Answer Choices: (A) 1340 (B) 1450 (C) 1540 (D) 1650 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number... | 34,864 |
<|im_start|>user
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Answer Choices: (A) 165∏ cm (B) 65∏ cm (C) 12∏ cm ... | 72,931 |
<|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) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of each... | 84,960 |
<|im_start|>user
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Answer Choices: (A) 277 (B) 266 (C) 321 (D) 500 (E) 782<|im_end|>
<|im_start|>assistant
<think>
</think>
P - 340 = (P*4*8)/100
P = 500
... | 25,834 |
<|im_start|>user
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the students earned for the 16 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days... | 75,447 |
<|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... | 5,174 |
<|im_start|>user
Find the value for m?
21(m + n) + 21 = 21(-m + n) + 21
Answer Choices: (A) 0 (B) -1 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
21m + 21n - 21 = -21m + 21n + 21
42m= 42 => m = 1
C
The answer is C<|endoftext|> | 76,263 |
<|im_start|>user
On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $5, the second $500, and the third $5000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key as... | 22,676 |
<|im_start|>user
Choose the missing terms out of the given alternatives.
AZ, BY, CX, DW ?
Answer Choices: (A) EF (B) GH (C) EV (D) DW (E) KN<|im_end|>
<|im_start|>assistant
<think>
</think>
C
EV
The first letter moves one step forward. The second letter moves one step backward.
The answer is C<|endoftext|> | 145 |
<|im_start|>user
What is beyond the atmosphere?
Answer choice: (A) space (B) object (C) air (D) vacuum<|im_end|>
<|im_start|>assistant
<think>
</think>
The chapter focuses on the atmosphere. Beyond the atmosphere is space. The next chapter introduces the study of space.
The answer is A<|endoftext|> | 2,446 |
<|im_start|>user
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Answer Choices: (A) 14300 (B) 14400 (C) 14500 (D) 14600 (E) 15400<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
10000 ... | 31,565 |
<|im_start|>user
A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?
Answer Choices: (A) 12 days (B) 16 days (C) 14 days (D) 15 days (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 4,846 |
<|im_start|>user
What forms when the dna in the nucleus wraps around proteins?
Answer choice: (A) rna (B) genes (C) ribosomes (D) chromosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
To begin mitosis, the DNA in the nucleus wraps around proteins to form chromosomes . Each organism has a unique number of chrom... | 2,007 |
<|im_start|>user
What are the two hormones primarily responsible for maintaining homeostasis of blood glucose levels?
Answer choice: (A) dopamine and melanin (B) anabolic and metabolic (C) insulin and estrogen (D) insulin and glucagon<|im_end|>
<|im_start|>assistant
<think>
</think>
Hormonal Regulation of Metabolism ... | 7,505 |
<|im_start|>user
For which of the following does h(a)−h(b)=h(a−b) for all values of a and b?
Answer Choices: (A) h(x) =x^2 (B) h(x) =x/2 (C) h(x) =x+5 (D) h(x) =2x−1 (E) h(x) =|x|<|im_end|>
<|im_start|>assistant
<think>
</think>
To solve this easiest way is just put the value and see that if it equals or not.
with op... | 82,406 |
<|im_start|>user
IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7:4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the pric... | 71,528 |
<|im_start|>user
A boat having a length 3 m and breadth 2 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) 12 kg (B) 60 kg (C) 72 kg (D) 96 kg (E) 98 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Volume of water displaced = (3 x 2 x 0.01) m3
= 0.... | 34,863 |
<|im_start|>user
AB
+BA
___
202
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Answer Choices: (A) 6 (B) 8 (C) 9 (D) 20 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
two ways to do it..
1) straight logic..
only 20 fits in..
D
The answe... | 27,048 |
<|im_start|>user
39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
Answer Choices: (A) -x7 (B) x7 (C) 2x7 (D) 3x7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
39x7 - 39x7 - 45x7 + 44x7 - 134x7 + 134x7=
0 - x7 + 0= -x7
The answer is A<|endoftext|> | 33,946 |
<|im_start|>user
A straight line has a slope of 1/2 and a y-intercept of -2. On this line, what is the x-coordinate of the point whose y-coordinate is 10?
Answer Choices: (A) (8) (B) (12) (C) (13) (D) (16) (E) (24) <|im_end|>
<|im_start|>assistant
<think>
</think>
For the point intercept form of a line y=mx+b ; m... | 86,533 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 5,030 |
<|im_start|>user
John was 35 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty?
Answer Choices: (A) 24 (B) 35 (C) 28 (D) 30 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume Betty's age on marriage = x years.
John... | 20,926 |
<|im_start|>user
Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities?
Answer Choices: (A) 3 (B) 6 (C) 8 (D) 9 (E) 12<|i... | 83,697 |
<|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.
Temperature can be written with units of degrees Fahrenheit (°F) or Celsius (°C). Use the list be... | 5,572 |
<|im_start|>user
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
Answer Choices: (A) 5 (B) 11 (C) 12 (D) 13 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
840 = 2 * 2 * 2 * 3 * 5
so the least value forNcan be 5.
A... | 52,859 |
<|im_start|>user
The average age of 42 students in a group is 16 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Answer Choices: (A) 31 (B) 56 (C) 41 (D) 59 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Age of the teacher = ( 43 × 17... | 83,850 |
<|im_start|>user
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
Answer Choices: (A) 700 (B) 200 (C) 540 (D) 120 (E) 635<|im_end|>
<|im_start|>assistant
<think>
</t... | 92,014 |
<|im_start|>user
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Answer Choices: (A) 6 (B) 7 (C) 9 (D) 5 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to ma... | 66,484 |
<|im_start|>user
In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
Answer Choices: (A) 24,000 (B) 36,000 votes (C) 168,000 (D) 240,000 (E) 300,000<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 7,924 |
<|im_start|>user
What is evolution that occurs over a long period of time called?
Answer choice: (A) macroevolution (B) spontaneous mutation (C) introgression (D) catabolism<|im_end|>
<|im_start|>assistant
<think>
</think>
Evolution that occurs over a long period of time is called macroevolution . It might take place... | 5,096 |
<|im_start|>user
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I ha... | 20,035 |
<|im_start|>user
A man divides $8600 Among 4 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Answer Choices: (A) A) $200 (B) B) $1000 (C) C) $800 (D) D) $1011.76 (E) E) $400<|im_e... | 19,256 |
<|im_start|>user
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Answer Choices: (A) 67.5% (B) 37.5% (C) 77.5% (D) 47.5% (E) 27.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
110 * 125 = 13750
-----------
3750
10000 ------ 3750
1... | 33,723 |
<|im_start|>user
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Answer Choices: (A) 22075 (B) 2622 (C) 2677 (D) 2666 (E) 267<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
A = 2000(21/20)2 = 2205
The answe... | 90,670 |
<|im_start|>user
Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 30 as remainder
Answer Choices: (A) 1235 (B) 1456 (C) 1567 (D) 1632 (E) 1635<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number be ... | 28,889 |
<|im_start|>user
A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days?
Answer Choices: (A) 3.75 days (B) 4.75 days (C) 3.25 days (D) 3.15 days (E) 2.75 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/3 + 1/9 = 4/9
9/4 = 4.75 days
The answer is B<|en... | 78,131 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 594 |
<|im_start|>user
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 408 votes. Find the number of votes casted to the winning candidate?
Answer Choices: (A) 288 (B) 1054 (C) 788 (D) 298 (E) 177<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 62% L = 38%
62% -... | 67,804 |
<|im_start|>user
If C + D = 12 and C and D are positive integers, which of the following is a possible value for 5C + 8D?
Answer Choices: (A) 111 (B) 121 (C) 150 (D) 171 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
c + d = 11
5c + 8d = 5c + 5d + 3d = 5(c+d) + 3d = 60 + 3d=D=30
D=30
c+d=12=C+30=9=C=12-30=-... | 14,917 |
<|im_start|>user
The number of diagonals of a polygon of n sides is given by the formula v=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
v=n(n-3)
v=2*n
2n=n(n-3)
=>2=n-3
=>n=... | 61,373 |
<|im_start|>user
In an animal behavior experiment, 25 tagged white pigeons and 250 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the labora... | 63,691 |
<|im_start|>user
Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Answer Choices: (A) 888 (B) 333 (C) 555 (D) 988 (E) 889<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)
The answer is A<|endoftext|> | 21,300 |
<|im_start|>user
What also receives input from other areas of the forebrain through the medial forebrain bundle?
Answer choice: (A) hippocampus (B) hypothalamus (C) pituitary gland (D) optic chiasm<|im_end|>
<|im_start|>assistant
<think>
</think>
These two tracts connect the hypothalamus with the major parasympatheti... | 10,709 |
<|im_start|>user
If the price has fallen by 14% what percent of its consumption be: increased so that the expenditure may be the same as before?
Answer Choices: (A) A) 11% (B) B) 10% (C) 1/9 % (D) 1/11 % (E) 7/43%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 – 14 = 86
86------14
100------? => 7/43%
The answer... | 35,663 |
<|im_start|>user
Evaluate: 45 - 12*3*2 = ?
Answer Choices: (A) 62 (B) 52 (C) 37 (D) 12 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
45 - 12*3*2 = 45 - 8 = 37
The answer is C<|endof... | 31,669 |
<|im_start|>user
A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 1000 m long?
Answer Choices: (A) 90 sec (B) 100 sec (C) 110 sec (D) 120 sec (E) 130 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/30 = 10 m/sec.
Required time = (300 + 1000)/10 = 130 sec
The answer... | 9,677 |
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