text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at le... | 19,138 |
<|im_start|>user
What is the area of our universe that isn't stars and galaxies called?
Answer choice: (A) dark matter (B) nebula (C) solar systems (D) galaxies<|im_end|>
<|im_start|>assistant
<think>
</think>
We see many objects out in space that emit light. We see other objects that emit other types of electromagne... | 2,403 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 2,334 |
<|im_start|>user
If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?
Answer Choices: (A) monday (B) saturday (C) friday (D) wednesday (E) sunday<|im_end|>
<|im_start|>assistant
<think>
</think>
First,we count the number of odd days for the left over days in the given period.
Here,given period ... | 18,493 |
<|im_start|>user
|x+3| – |4-x| = |8+x| How many X solutions will this equation have?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
X=|x| = x when x >= 0 (x is either positive or 0)
|x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 be... | 4,531 |
<|im_start|>user
If log10 2 = 0.3010, the value of log10 80 is:
Answer Choices: (A) 1.602 (B) 1.903 (C) 3.903 (D) 4.5231 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
log10 80 = log10 (8 x 10)
= log10 8 + log10 10
= log10 (23 ) + 1
= 3 log10 2 + 1
= (3 x 0.3010) + 1
= 1.9030.
The ans... | 74,553 |
<|im_start|>user
In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all... | 17,932 |
<|im_start|>user
On a certain date, Pat invested $8,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $32,000, in how many years total will the total value of the investment plus interest increase to $64,000?
Answer Choices: (A) 15 (... | 33,945 |
<|im_start|>user
The average of 11 numbers is 11. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Answer Choices: (A) 10.4 (B) 11.5 (C) 81.5 (D) 11.5 (E) 21.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Middle numbers = [(10.5 x 6 +... | 16,234 |
<|im_start|>user
John had a stock of 1400 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Answer Choices: (A) 50.4% (B) 71.3% (C) 66.5% (D) 34.9% (E) 43.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let N ... | 60,279 |
<|im_start|>user
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 180 m, its area is?
Answer Choices: (A) 90 (B) 882 (C) 277 (D) 261 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
5x + 12x + 13x = 180 => x = 6
a = 30, b = 72, c = 78
S = (30 + 72 + 78)/2 = 90
The answer is A<|endoftext... | 66,886 |
<|im_start|>user
What kind of fuels include coal, oil, and natural gas?
Answer choice: (A) ancient (B) sediment (C) storage (D) fossil<|im_end|>
<|im_start|>assistant
<think>
</think>
Fossil fuels include coal, oil, and natural gas. Fossil fuels are the greatest energy source for modern society. Millions of years ago... | 1,569 |
<|im_start|>user
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two consecutive even integers be 2n and (2n + 2). Then,
(2n + 2)2 = (2n + 2 + 2n)(2n ... | 64,355 |
<|im_start|>user
The average of 11 numbers is 10.4. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Answer Choices: (A) 9 (B) 9.2 (C) 10 (D) 11.5 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1 to 11 = 11 * 10.4 = 114.4
1 to 6 = 6 * 10.5 = 63
6 to 11 = ... | 51,118 |
<|im_start|>user
If -1<x<0, what is the median K of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
Answer Choices: (A) 1/x (B) x^2 (C) x^2(x+1) /2 (D) K=x(x^2+1) /2 (E) x^2/2x<|im_end|>
<|im_start|>assistant
<think>
</think>
My approach: Put any value between -1 and 0. you will get the answer. lets say 0.... | 57,761 |
<|im_start|>user
In the faculty of Reverse-Engineering, 250 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the ... | 58,894 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 2,595 |
<|im_start|>user
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 16 hours after they passed each other the ratio of the speeds of the two trains was
Answer Choices: (A) 2:1 (B) 3:2 (C) 4:3 (D) 5:4 (E) 1:2<|im_end|>
<|im_start|>assistan... | 59,593 |
<|im_start|>user
All the major landmasses moved together to form one supercontinent in which period?
Answer choice: (A) Mesozoic (B) permian (C) cambrian (D) Cenozoic<|im_end|>
<|im_start|>assistant
<think>
</think>
During the Permian Period, all the major landmasses moved together to form one supercontinent. The sup... | 11,301 |
<|im_start|>user
A tank is filled in 5 hours by three pipes P, Q and R. The pipe R is twice as fast as Q and Q is twice as fast as P. How much time will pipe P alone take to fill the tank?
Answer Choices: (A) 35 hrs (B) 20 hrs (C) 25 hrs (D) 50 hrs (E) 28 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
Pipe P al... | 10,284 |
<|im_start|>user
If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)?
Answer Choices: (A) –1 (B) 0 (C) (a + b) – (c + d) =1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
660660= 2^2 x 3^1 ... | 7,029 |
<|im_start|>user
What is igneous rock created from?
Answer choice: (A) magma aging (B) volcanic ash (C) magma cooling (D) carbon dioxide<|im_end|>
<|im_start|>assistant
<think>
</think>
Igneous rocks cool from magma. The appearance of the rock is created by the composition of the magma. It is also determined by the r... | 7,812 |
<|im_start|>user
A thief steels a car at 2.30p.m. and drives it at 60kmph. The theft is discovered at 3p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?
Answer Choices: (A) 5p.m. (B) 6p.m. (C) 4p.m. (D) 7p.m. (E) 3p.m.<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose the ... | 44,405 |
<|im_start|>user
Raja spends 35% of his monthly income on household items, 20% of his monthly income on buying cloths, 5% of his monthly income on medicines and saves the remaining amount which is Rs. 15000. Find his monthly income.
Answer Choices: (A) Rs. 40000 (B) Rs. 36000 (C) Rs. 37500 (D) Rs. 45000 (E) None of the... | 84,602 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the mile.
Time tells you how long the ... | 2,787 |
<|im_start|>user
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
Answer Choices: (A) 8.5 km/hr (B) 10 km/hr (C) 12.5 km/hr (D) 9 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Man's speed with the curr... | 42,406 |
<|im_start|>user
A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 50 persons and that of bus is 30 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respective... | 58,128 |
<|im_start|>user
A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 3 times. Find how much spirit is left in the resulting mixture finally?
Answer Choices: (A) 6(257/525) gallons (B) 6(346/625) gallons... | 59,065 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 12km/h (C) 14km/h (D) 16km/h (E) 17km/h<|im_end|>
<|im_start|>assistant
... | 45,488 |
<|im_start|>user
5 + 5 + 5 + 2 × 5^2 + 2 × 5^3 + 2 × 5^4 + 2 × 5^5 + 2 × 5^6 + 2 × 5^7 =
Answer Choices: (A) 5^9 (B) 5^7 (C) 5^10 (D) 5^8 (E) 5^11<|im_end|>
<|im_start|>assistant
<think>
</think>
We have the sum of 9 terms. Now, if all terms were equal to the largest term 2*5^7 we would have: sum=9*(2*5^7)=18*5^7=~5^... | 65,306 |
<|im_start|>user
If the LCM and HCF of 8 and another number is 24 and 4 respectively. Find the other number ?
Answer Choices: (A) 11 (B) 12 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
HCF x LCM = Product of Numbers
4 x 24 = 8 x the other number
other number = (4 x 24) / 8
other number = 12
T... | 79,612 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Poetry is a special kind of writing. It has many elements that make it different from ordinary writing. Knowing these elements can help you talk about poetry, understand it better, and enjoy it more.
A poem rhymes when it ha... | 4,393 |
<|im_start|>user
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 10 m (B) 16 m (C) 245 m (D) 19 m (E) 225 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of brid... | 39,216 |
<|im_start|>user
A lady goes to a bank near her newly possessed home. The bank's policies are weird, but she decides to open the account anyhow with a certain amount. The policy is that at the end of each year, the total amount gets doubled and Rs. 65 is deducted from that amount. After 6 years, when the lady checks he... | 56,890 |
<|im_start|>user
Two-fifth of one-third of three-seventh of a number is 15. What is 40% of that number?
Answer Choices: (A) 182 (B) 108 (C) 162 (D) 721 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
2/5 of 1/3 of 3/7 of
x = 15 => x = (15 * 5/3 * 3 * 5/2)
= 525/2
40% of 525/2 = (40... | 44,287 |
<|im_start|>user
John opened a shop investing Rs.40000. Joy joined him 4 months later, investing Rs.50000. They earned a profit of Rs.55000 after completion of one year. What will be Joy's share of profit?
Answer Choices: (A) 23000 (B) 25000 (C) 24000 (D) 28000 (E) 29000<|im_end|>
<|im_start|>assistant
<think>
</think... | 17,641 |
<|im_start|>user
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
Answer Choices: (A) 10.8 km/hr (B) 12.8 km/hr (C) 11.8 km/hr (D) 16.8 km/hr (E) 17.8 km/hr<|im_end|>
<|im_start|>assistant
<thin... | 50,594 |
<|im_start|>user
If a sequence of 8 consecutive odd integers with increasing values has 11 as its 7th term, what is the sum of the terms of the sequence?
Answer Choices: (A) 12 (B) 24 (C) 36 (D) 48 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the first term.
Then x + 12 = 11 and x = -1
The sum is:... | 80,100 |
<|im_start|>user
Here is a simple arithmetical puzzle in his own flowery, poetical language.
If one-fifth of a hive of bees flew to the badamba flower, one-third flew to the slandbara, three times the difference of these two numbers flew to an arbour, and one bee continued to fly about, attracted on each side by the fr... | 11,393 |
<|im_start|>user
A bat is bought for Rs.440 and sold at a gain of 20% find its selling price
Answer Choices: (A) s.430/- (B) s.480/- (C) s.400/- (D) s.528/- (E) s.600/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 440
120 % ------> 440*120/100
Selling price = Rs.528/-
D
The answer is D<|endoftext|> | 7,446 |
<|im_start|>user
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned
Answer Choices: (A) 19828.88 (B) 19828.8 (C) 19828.87 (D) 19828.81 (E)... | 87,656 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 4,237 |
<|im_start|>user
A professional janitor can clean a certain high school in (4+4) hours, working at a constant rate. A student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more ... | 13,955 |
<|im_start|>user
During a special promotion, a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?... | 53,883 |
<|im_start|>user
A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?
Answer Choices: (A) 15 seconds (B) 10 seconds (C) 11 seconds (D) 12 seconds (E) 14 seconds<|im_end|>
<|im_start|>assistant
<thin... | 26,184 |
<|im_start|>user
When a train travels at a speed of 100kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Answer Choices: (A) 15km (B) 50km (C) 60km (D) 85km (E) 95km<|im_end|>
<|im_start|>assistant
<think>
</thi... | 63,467 |
<|im_start|>user
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Answer Choices: (A) 156 m (B) 189 m (C) 175 m (D) 134 m (E) 972 m<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 6,502 |
<|im_start|>user
A rectangular lawn 70 m × 30 m has two roads each 5 metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling the road at the rate of 4 per square metre.
Answer Choices: (A) 2,000 (B) 1,800 (C) 1,900 (D) 1,700 (E) None of the... | 33,526 |
<|im_start|>user
Darwin coined what term to refer to an organism’s relative ability to survive and produce fertile offspring?
Answer choice: (A) momentum (B) metabolism (C) strength (D) fitness<|im_end|>
<|im_start|>assistant
<think>
</think>
Darwin coined the term fitness to refer to an organism’s relative ability t... | 4,420 |
<|im_start|>user
A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Answer Choices: (A) 88 Feet (B) 66 Feet (C) 77 Feet (D) 99 Feet (E) 55 Feet<|im_end|>
<|im_start|>assistant
<think>
</think>
A
... | 23,696 |
<|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?
Answer Choices: (A) 7/13 (B) 4/7 (C) 15/52 (D) 9/13 (E) 19/26<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 13 clubs and 2 red jacks.
P(club or red jack) = 15/52 = 15/... | 10,785 |
<|im_start|>user
In a division sum, the remainder is 4 and the divisor is 3 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Answer Choices: (A) 53 (B) 58 (C) 51 (D) 60 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
Diver = (4*3)+2 = 14
4* Quotient = 14
Quotient... | 39,212 |
<|im_start|>user
A letter lock consists of three rings each marked with nine different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Answer Choices: (A) 277 (B) 269 (C) 728 (D) 768 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
Since each ring consists of nine differ... | 63,061 |
<|im_start|>user
A room 13 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Answer Choices: (A) 116636 (B) 116406 (C) 116647 (D) 116291 (E) 116675<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of the room = (1347 ... | 54,414 |
<|im_start|>user
The remainder when positive integer nn (n>1n>1) is divided by 25 is 1 and the remainder when nn is divided by 7 is also 1. What is the least value of nn?
Answer Choices: (A) 76 (B) 101 (C) 126 (D) 151 (E) 176<|im_end|>
<|im_start|>assistant
<think>
</think>
We're asked to find the LEAST number that g... | 85,208 |
<|im_start|>user
The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 7 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Answe... | 4,874 |
<|im_start|>user
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 56 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only p... | 76,112 |
<|im_start|>user
What is the region called where an electron is most likely to be found?
Answer choice: (A) the shell (B) the nucleus (C) the orbital (D) the ellipse<|im_end|>
<|im_start|>assistant
<think>
</think>
Negative electrons are attracted to the positive nucleus. This force of attraction keeps electrons cons... | 2,742 |
<|im_start|>user
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 50 terms of this sequence?
Answer Choices: (A) (1+1/2) – (1/51 +1/ 52) (B) (1/51 +1/ 52) (C) (1+1/2) +(1/51 +1/ 52) (D) (1+1/2) – 1/51 (E) (1+1/2) – 1/52<|im_end|>
<... | 92,209 |
<|im_start|>user
At a certain supplier, a machine of type A costs $24,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the r... | 68,647 |
<|im_start|>user
1391 x 1391 = ?
Answer Choices: (A) A) 1951609 (B) B) 1951601 (C) C) 1951602 (D) D) 1951603 (E) E) 1934881<|im_end|>
<|im_start|>assistant
<think>
</think>
1391 x 1391 = (1391)2
= (1400 - 9)2
= (1400)2 + (9)2 - (2 x 1400 x 9)
= 1960000 + 81 - 25200
= 1960081 - 25200
= 1934881.
The answer is E<|endoft... | 4,598 |
<|im_start|>user
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 90 cents more than the price of commodity Y?
Ans... | 94,980 |
<|im_start|>user
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts ... | 56,687 |
<|im_start|>user
If u and v are negative integers, which of the following statements must be true?
I. (-u)^v is positive.
II. (-u)^(-v) is positive.
III. u^(-v) is positive.
Answer Choices: (A) None (B) II only (C) I and II (D) I and III (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's u = -2 ... | 18,341 |
<|im_start|>user
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.5 per sq m?
Answer Choices: (A) 6500 (B) 2779 (C) 2779 (D) 3900 (E) 2781<|im_e... | 7,637 |
<|im_start|>user
$6,000 is deposited in a savings account that pays 10% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?
Answer Choices: (A) $6615.15 (B) $6615.00 (C) $6714.10 (D) $6655.55 (E) $6698.20<|im_end|>
<|im_start|>assistant
<think>
</think>
t... | 32,971 |
<|im_start|>user
Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Answer Choi... | 35,710 |
<|im_start|>user
A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?
Answer Choices: (A) 15 (B) 10 (C) 12 (D) 16 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp... | 34,792 |
<|im_start|>user
What process can occur when atoms are exposed to high levels of radiation or when atoms transfer electrons to or from other atoms?
Answer choice: (A) fusion (B) diffusion (C) oxidation (D) ionization<|im_end|>
<|im_start|>assistant
<think>
</think>
The process in which an atom becomes an ion is calle... | 6,188 |
<|im_start|>user
If 40 honey bees make 40 grams of honey in 40 days, then 1 honey bee will make 1 gram of honey in how many days?
Answer Choices: (A) 1 (B) 3.5 (C) 40 (D) 49 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the required number days be x.
Less honey bees, More days (Indirect Pr... | 76,061 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) 1000 (B) 2287 (C) 2677 (D) 2887 (E) 2688<|im_end|>
<|im_start|>assistant
<think>
</think>
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
The answer... | 8,798 |
<|im_start|>user
Directions : In questions no. 1 to 8, select the one which is different from other three alternatives.
Answer Choices: (A) Delegate (B) Person (C) Manager (D) Deputy (E) Representative<|im_end|>
<|im_start|>assistant
<think>
</think>
B
Except (B) all are designations.
The answer is B<|endoftext|> | 38,841 |
<|im_start|>user
The second of two numbers is two less than three times the first. Find the numbers if there sum is
54.
Answer Choices: (A) 7-19 (B) 8-20 (C) 10-16 (D) 14-40 (E) 20-6<|im_end|>
<|im_start|>assistant
<think>
</think>
We are looking for two numbers.
#1 - x
#2 - 3x – 2
The sum is 54. #1 + #2 = 54
Subst... | 17,874 |
<|im_start|>user
in base 7, a number is written only using digits 0,1,2,3,4,5,6. the number 135 in base 7 is 1*72+3*7+5=75 in base 10. what is the sum of the base 7 numbers 1234 & 6543 in base 7?
Answer Choices: (A) 11101 (B) 11110 (C) 10111 (D) 11011 (E) 11010<|im_end|>
<|im_start|>assistant
<think>
</think>
4+3=7 s... | 10,730 |
<|im_start|>user
Three numbers are in the ratio 2 : 3 : 5 and their average is 50. The largest number is :
Answer Choices: (A) 30 (B) 75 (C) 27 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the numbers be 2x, 3x and 5x, Then, (2x + 3x + 5x ) / 3 = 50
=> 10x = 150
=> x = 15.
Largest n... | 89,726 |
<|im_start|>user
How many 1/10s are there in 37 1/2?
Answer Choices: (A) 375 (B) 475 (C) 500 (D) 670 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (75/2)/(1/10)
= (75/2 x 10/1)
= 375.
The answer is A<|endoftext|> | 40,424 |
<|im_start|>user
How many of the factors of 120 are divisible by 2?
Answer Choices: (A) 4 (B) 8 (C) 10 (D) 12 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
120 = 2^3*3*5
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 3, 5, and 15.
The number of even factors is 16-4 = 12
The answe... | 66,917 |
<|im_start|>user
In a hostel there were 100 students. To accommodate 40 more students the average is decreased by rupees 10. But total expenditure decreased by Rs.400. Find the total expenditure of the hostel now?
Answer Choices: (A) 1400 (B) 2500 (C) 3000 (D) 1500 (E) 2100<|im_end|>
<|im_start|>assistant
<think>
</th... | 82,781 |
<|im_start|>user
A present value of a machine is $2000. Its value depletiation rate is 20% per annum then find the machine value before 2 years?
Answer Choices: (A) $3125 (B) $2945 (C) $3012 (D) $2545 (E) $3150<|im_end|>
<|im_start|>assistant
<think>
</think>
P= $2000
R = 20%
T = 2 years
Machine value before 2 years ... | 6,864 |
<|im_start|>user
If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?
Answer Choices: (A) (1, 0) (B) (–2, 0) (C) (5, 0) (D) (6, 0) (E) (3, 0) <|im_end|>
<|im_start|>assistant
<think>
</think>
Curve represented by y = x^2 –... | 63,375 |
<|im_start|>user
A man is 27 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Answer Choices: (A) 11 (B) 25 (C) 27 (D) 22 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x years.
Then, man's present age = (x + 27) yea... | 43,167 |
<|im_start|>user
If there are 7 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Answer Choices: (A) 32 (B) 24 (C) 56 (D) 144 (E) 280<|im_end|>
<|im_start|>assistant
<think>
</think>
Firstly, there are 7 ways to choose 3 groups... | 42,570 |
<|im_start|>user
What do clouds trap into the atmosphere at night?
Answer choice: (A) seawater (B) heat (C) light (D) smog<|im_end|>
<|im_start|>assistant
<think>
</think>
Clouds block sunlight in the day. Clouds trap heat in the atmosphere at night.
The answer is B<|endoftext|> | 304 |
<|im_start|>user
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Answer Choices: (A) 9kmph (B)... | 2,876 |
<|im_start|>user
A rectangular-shaped carpet that measures x feet by y feet is priced at $40. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Answer Choices: (A) xy/360 (B) 9xy/40 (C) 40xy/9 (D) 360xy (E) 360/(xy) <|im_end|>
<|im_start|>assistant
<think>
</think>
The area o... | 1,801 |
<|im_start|>user
The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?
Answer Choices: (A) 28% (B) 25% (C) 24% (D) 23% (E) 27%<|im_end|>
<|im_start|>assistant
<think>
</think>
explanation:
15 CP = 20 SP
20 --- 5 CP loss
100 --- ? => 25% loss
The answer is B<|endoftext|> | 21,469 |
<|im_start|>user
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 700 grams. Find the profit percent.
Answer Choices: (A) 100/7% (B) 100/23% (C) 100/19% (D) 100/13% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(100 + g) / (100 + x) = True measure / Faul... | 48,849 |
<|im_start|>user
How many positive three-digit integers have an odd digit in both the tens and units place?
Answer Choices: (A) 25 (B) 225 (C) 250 (D) 450 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
1. Make empty spaces and try to fill up the empty spaces one by one
2. If a condition is given, you always... | 36,450 |
<|im_start|>user
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 5%?
Answer Choices: (A) 0—1.5 gal (B) 1.5—3 gal (C) 3—4.5 gal (D) 4.5—6 gal (E) 6+ gal<|im_end|>
<|im_start|>assistant
<think>
</think>
Let amount of water that must be added in gallons to dilute concent... | 32,460 |
<|im_start|>user
The total of the ages of Jayant, Prem and Saransh is 75 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Prem?
Answer Choices: (A) 25 years (B) 32 years (C) 34 years (D) 38 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the ages of ... | 50,028 |
<|im_start|>user
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/4* ?
Answer Choices: (A) 5 (B) 5/4 (C) 4/5 (D) 1/4 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
When dealing ... | 73,540 |
<|im_start|>user
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
Answer Choices: (A) Rs.1200 (B) Rs.1300 (C) Rs.1400 (D) Rs.1500 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
At... | 87,432 |
<|im_start|>user
A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Answer Choices: (A) 7 (B) 13 (C) 19 (D) 10 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
1/6 – 1/15 = 1/10
B can do the work in 10 days
The answer is D<|endoftext|> | 41,024 |
<|im_start|>user
What affects how high a cake rises when it bakes?
Answer choice: (A) air currents (B) air movement (C) air pressure (D) current pressure<|im_end|>
<|im_start|>assistant
<think>
</think>
Air pressure affects how high a cake rises when it bakes. Directions for cake mixes often have special high altitud... | 1,098 |
<|im_start|>user
The ratio of red boxes to blue boxes in a certain warehouse is 10 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
Answer Choices: (A) 37 (B) 74 (C) 70 (D) 148 (E) 244<|im_end|>
<|... | 82,633 |
<|im_start|>user
If there are 156 laborers in a crew, and on a certain day, 70 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Answer Choices: (A) 45.9% (B) 43.9% (C) 42.9% (D) 41.9% (E) 44.9%<|im_end|>
<|im_start|>assistant
<think>
</think>
70/156*100=44.87
44.9%
The ans... | 94,351 |
<|im_start|>user
What is the accumulated total of all the biochemical reactions occurring in a cell or organism called?
Answer choice: (A) respiration (B) metabolism (C) expansion (D) circulation<|im_end|>
<|im_start|>assistant
<think>
</think>
All living things—even the simplest life forms—have a complex chemistry. ... | 5,707 |
<|im_start|>user
The anterior half of the foot is formed by the five what type of bones?
Answer choice: (A) malignancy bones (B) conidia bones (C) conidia bones (D) metatarsal bones<|im_end|>
<|im_start|>assistant
<think>
</think>
Metatarsal Bones The anterior half of the foot is formed by the five metatarsal bones, ... | 3,610 |
<|im_start|>user
The resultant solution will contain the same amount of solute but a greater amount of what?
Answer choice: (A) calcium (B) liquid (C) solvent (D) pigment<|im_end|>
<|im_start|>assistant
<think>
</think>
Many chemicals that we use on a daily basis are transported in a concentrated form but used in a m... | 5,196 |
<|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... | 3,271 |
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