text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Three models (K, L, and M) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model K, 17 cars of Model L, and 15 cars of Model M. What is the maximum number of ... | 1,429 |
<|im_start|>user
In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins o... | 80,668 |
<|im_start|>user
Which of the following numbers is two more than the square of an odd integer?
Answer Choices: (A) 14,173 (B) 14,361 (C) 15,131 (D) 15,737 (E) 15,981<|im_end|>
<|im_start|>assistant
<think>
</think>
If a square has an odd unit's digit, then its ten's digit must be even.
Only 15,131-2 = 15,129 satisfie... | 4,306 |
<|im_start|>user
Is the most basic what is the most basic of the sciences, concerning itself with energy, matter, space and time, and their interactions?
Answer choice: (A) physics (B) experiments (C) biology (D) genetics<|im_end|>
<|im_start|>assistant
<think>
</think>
Section Summary 1.1 Physics: An Introduction • ... | 1,964 |
<|im_start|>user
If two different solutions of alcohol with a respective proportion of water to alcohol of 3:1 and 2:3 were combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Answer Choices: (A) 30.0% (B) 36.6% (C) 42.5% (D) 44.4% (E) 60.0%<|im_end|... | 43,632 |
<|im_start|>user
The mass of 1 cubic meter of a substance is 400 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Answer Choices: (A) 1.5 (B) 2.5 (C) 3.5 (D) 4.5 (E) 5.5<|im_end|>
... | 14,534 |
<|im_start|>user
A train which has 430 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Answer Choices: (A) 56 sec (B) 43 sec (C) 36 sec (D) 29 sec. (E) 19 sec.<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken to cross a moving person = length of train/ r... | 60,597 |
<|im_start|>user
A trained covered x km at 70 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Answer Choices: (A) 22.25 (B) 99 (C) 26.25 (D) 66 (E) 887<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = x/70 + 2x/20 hours
= 4x/35 hours
Average spee... | 30,733 |
<|im_start|>user
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job. How long should it take both A and B, working together but independently, to do the same job?
Answer Choices: (A) 70 hours (B) 40/9 hours (C) 9 hours (D) 16 hours (E) 20 hours<|im_end|>
<|im_start|>assistant
<think>
</thin... | 86,213 |
<|im_start|>user
If the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Answer Choices: (A) 4/15 (B) 1/3 (C) 2/5 (D) 4/5 (E) 7/6<|im_end|>
<|im_start|>assistant
<think>
</think>
a:b = 5:3 -- 1
b:c = 1:5
=>b:c = 3 :15 --2
From 1 and 2 , we get
a:c = 4:15
The answer is B<|endof... | 73,727 |
<|im_start|>user
Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $18.00, how many discounted tickets did he buy?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x... | 54,897 |
<|im_start|>user
Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of... | 28,290 |
<|im_start|>user
Biceps brachii, brachialis, and brachioradialis work to flex what part of the body?
Answer choice: (A) leg (B) forearm (C) foot (D) lungs<|im_end|>
<|im_start|>assistant
<think>
</think>
extensors are the triceps brachii and anconeus. The pronators are the pronator teres and the pronator quadratus, a... | 9,081 |
<|im_start|>user
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord S, in feet?
Answer Choices... | 64,606 |
<|im_start|>user
Three numbers are in the ratio 3:5:7. The largest number value is 49. Find difference between Smallest & largest number is?
Answer Choices: (A) 20 (B) 24 (C) 26 (D) 28 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
== 3:5:7
Total parts = 15
= The largest number value is 49
= The largest numb... | 79,084 |
<|im_start|>user
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams. Find the profit percent.
Answer Choices: (A) 100/17% (B) 100/23% (C) 100/9% (D) 100/13% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(100 + g) / (100 + x) = True measure / Faul... | 25,630 |
<|im_start|>user
A man swims downstream 48 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Answer Choices: (A) 2 (B) 8 (C) 9 (D) 11 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
48 --- 3 DS = 16
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (16 + 6)/2 = 11
The ans... | 91,294 |
<|im_start|>user
Points A, B, and C lie, in that order, on a straight railroad track. The distance from point A to point B is twice the distance from point B to point C. A train traveled from point A to point C without stopping. The train's average speed when traveling from point A to point B was 50 miles per hour and ... | 69,067 |
<|im_start|>user
How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Answer Choices: (A) 8 (B) 0 (C) 6 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
A number ending with 2 can never be a perfect square.
The answer is B<|endof... | 80,145 |
<|im_start|>user
If (x-12)(x-3) < 0, which of the following must be true?
Answer Choices: (A) x^2 + 5x + 6 < 0 (B) x^2 + 5x + 6 > 0 (C) 12 - x > 0 (D) x - 5 < 0 (E) 11 - x > 0<|im_end|>
<|im_start|>assistant
<think>
</think>
(x-12)(x-3)<0 can be written as (12-x)(x-3)>0
So,to inequality hold true multiple of (12-x) a... | 48,936 |
<|im_start|>user
The ratio of two numbers is 3:4 and their sum is 49. The greater of the two numbers is?
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 17 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
3:4
Total parts = 7
= 7 parts --> 49 (7 × 7 = 49)
= 1 part ---->7 (1 × 7 = 7)
= The greater of the two number i... | 12,855 |
<|im_start|>user
If in a certain sequence of consecutive multiples of 50, the median is 525, and the greatest term is 950, how many terms that are smaller than 525 are there in the sequence?
Answer Choices: (A) 6 (B) 9 (C) 8 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the median is 525 we kno... | 56,831 |
<|im_start|>user
There are 5,280 feet in 1 mile and 10 inches in one foot. How many inches are in a mile?
Answer Choices: (A) 5,280 - 12 (B) 5,280/12 (C) 12(5,280) (D) 12^2(5,280) (E) 10*5,280<|im_end|>
<|im_start|>assistant
<think>
</think>
1 feet = 10 inches
1 mile = 5280 feet
1 mile = 5280*10 inches
The answer i... | 96,120 |
<|im_start|>user
What is the total number of codons?
Answer choice: (A) 45 (B) 51 (C) 68 (D) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
The mRNA is divided into three-base segments called codons. A codon is the segment of nucleotides that codes for an amino acid, or for a start or stop signal. There are 64 c... | 652 |
<|im_start|>user
What purpose does the appendix serve in humans today?
Answer choice: (A) work (B) filters blood (C) digests food (D) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Structures like the human tail bone are called vestigial structures . Evolution has reduced their size because the structures are ... | 2,654 |
<|im_start|>user
Plants obtain their energy from the sun through photosynthesis , what do animals obtain their energy from?
Answer choice: (A) organisms (B) tissues (C) proteins (D) ultraviolet rays<|im_end|>
<|im_start|>assistant
<think>
</think>
All organisms have the ability to grow and reproduce. To grow and repr... | 3,533 |
<|im_start|>user
If abc ≠ 3 and the sum of the reciprocals of a, b, and c equals the reciprocal of the product of a, b, and c, then a =
Answer Choices: (A) (1 + bc) /(b + c) (B) (1 – bc) /(b + c) (C) (1 + b + c) /(bc) (D) (1 – b – c) /(bc) (E) (1 – b – c) /(b + c) <|im_end|>
<|im_start|>assistant
<think>
</think>
... | 62,660 |
<|im_start|>user
What is the term for the energy of movement?
Answer choice: (A) potential energy (B) intrinsic energy (C) molecular energy (D) mechanical energy<|im_end|>
<|im_start|>assistant
<think>
</think>
1. Mechanical energy is the energy of movement. It is found in objects that are moving or have the potentia... | 1,001 |
<|im_start|>user
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Answer Choices: (A) 20% (B) 70% (C) 80% (D) 40% (E) 10%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
... | 7,498 |
<|im_start|>user
Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal, Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh's fore-fathers were from Madurai but settled in Raj... | 12,977 |
<|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... | 1,147 |
<|im_start|>user
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Answer Choices: (A) 3 (B) 9 (C) 0 (D) 4 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (1 + 2 + 3)/2
= 3
The answer is A<|endoftext|> | 67,002 |
<|im_start|>user
If f(x) = k(x - k) and k is a constant, what is the value of f(6) - f(2), in terms of k?
Answer Choices: (A) 1 (B) 4k (C) 7k - 1 (D) k^2 + k (E) k^2 - k<|im_end|>
<|im_start|>assistant
<think>
</think>
First, distribute f(x). k(x - k) = kx - k^2. Now evaluate f(6) and f(2):
f(6) = k(6) - k^2 = 6... | 92,969 |
<|im_start|>user
How many positive integers t less than 30 have no common prime factor with 30?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
t=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, ... | 21,739 |
<|im_start|>user
16 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Answer Choices: (A) 10 (B) 6 (C) 4 (D) 7 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of machines = 16*10/40 = 4
The answer is C<|endoftext|> | 10,675 |
<|im_start|>user
What is freshwater below the earth's surface called?
Answer choice: (A) groundwater (B) geyser (C) sediment (D) precipitation<|im_end|>
<|im_start|>assistant
<think>
</think>
Freshwater below Earth’s surface is called groundwater . The water infiltrates, or seeps down into, the ground from the surfac... | 11,594 |
<|im_start|>user
oy started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite to A. If his speed was 8km/hr, the area of the filed in square km is?
Answer Choices: (A) 64 (B) 4 (C) 16 (D) 9 (E) 5<|im_end|>
<|im_start|>assistant
<thi... | 6,365 |
<|im_start|>user
A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Answer Choices: (A) 280 meter (B) 240 meter (C) 200 meter (D) 260 meter (E) None of these<|im_end|>
<|im_start|>assistant
<th... | 12,240 |
<|im_start|>user
Who wrote 'The Republic,' an influential philosophical work discussing justice, governance, and the ideal state?
Answer choice: (A) Aristotle. (B) Socrates. (C) Plato. (D) Cicero.<|im_end|>
<|im_start|>assistant
<think>
</think>
Plato, a philosopher in ancient Greece, authored 'The Republic.'
The ans... | 228 |
<|im_start|>user
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 25% solution?
Answer Choices: (A) A) 6.7 (B) B) 1.3 (C) C) 9.6 (D) D) 20 (E) E) 7.9<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount salt in 100kg solution = 10*100/100 = 10 kg
Let x kg of pur... | 84,118 |
<|im_start|>user
If 0 < a < b and k = (5a + 5b)/b , which of the following must be true?
Answer Choices: (A) k < 2 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do menti... | 74,842 |
<|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 ... | 5,149 |
<|im_start|>user
Which of the following is(are) false for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a)
Answer Choices: (A) only Ⅰ (B) only Ⅱ (C) only Ⅲ (D) only ⅠⅢ (E) only ⅡⅢ<|im_end|>
<|im_start|>assistant
<think>
</think>
-> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (X).
If II. a@b=(a+b)(a-b), a@b=(a+b... | 2,682 |
<|im_start|>user
a, b, c and d are four consecutive numbers. If the sum of a and dis 109, what is the product of b and c?
Answer Choices: (A) 2652 (B) 2578 (C) 2970 (D) 3354 (E) 4234<|im_end|>
<|im_start|>assistant
<think>
</think>
C
2970
Here d = a + 3
a + a + 3 = 109
2a = 106
a = 53
So, numbers are 53, 54, 55 and 5... | 32,824 |
<|im_start|>user
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 28 years. Find the average age of the women?
Answer Choices: (A) 87 (B) 98 (C) 32 (D) 28 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
20 + 28 + 8 * 2
= 64/2
= 32
The answer is C<|en... | 63,726 |
<|im_start|>user
Today is Monday. After 63 days, it will be:
Answer Choices: (A) Monday (B) Sunday (C) Saturday (D) Friday (E) Thursday<|im_end|>
<|im_start|>assistant
<think>
</think>
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
The answer is A<|endoftext|> | 18,825 |
<|im_start|>user
Plane leaves from Chelsea every 40 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Answer Choices: (A) 5:35 p.m (B) 6:45 p.m (C)... | 24,834 |
<|im_start|>user
The present ages of three persons are in proportions 4:7:9. Seven years ago, the sum of their ages was 79. Find their present ages.
Answer Choices: (A) 20, 28 (B) 28, 36 (C) 35, 45 (D) 35, 55 (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let their present ages be 4x, 7x and 9x years r... | 66,375 |
<|im_start|>user
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train.
Answer Choices: (A) 200/3m (B) 100m (C) 50m (D) 100/3 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
A t... | 82,366 |
<|im_start|>user
Air pollution can cause disease of what system by affecting the health of your lungs?
Answer choice: (A) excretory (B) digestive (C) respiratory (D) cardiac<|im_end|>
<|im_start|>assistant
<think>
</think>
Air pollution is another significant cause of respiratory disease. The quality of the air you b... | 7,408 |
<|im_start|>user
At what time of the year can tornadoes occur?
Answer choice: (A) winter (B) spring (C) any (D) summer<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 5,943 |
<|im_start|>user
Two friends A and B leave point A and point B simultaneously by bicycle and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long wi... | 45,813 |
<|im_start|>user
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
The answer is A<|endoftext|> | 22,255 |
<|im_start|>user
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m?
Answer Choices: (A) 22377 (B) 27000 (C) 27891 (D) 25000 (E) 18771<|im_end|>
<|im_start|>assistant
<think>
</think>
27 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
27 = 1/1000 * x => x = 27000
The an... | 14,422 |
<|im_start|>user
What is the value of 10^8- 6^4?
Answer Choices: (A) 9,99,98,623 (B) 9,99,98,704 (C) 9,99,98,800 (D) 9,99,99,521 (E) 9,99,99,932<|im_end|>
<|im_start|>assistant
<think>
</think>
As 10^n will always have last digit as 0 AND 6^n will always as last digit 6.. hence difference of such sum should always be... | 53,230 |
<|im_start|>user
A man can row 4.5 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
Answer Choices: (A) 1.9 (B) 1.7 (C) 1.2 (D) 1.5 (E) 1.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of boat in still water (b) = 4.5 km/hr. Speed of bo... | 47,509 |
<|im_start|>user
The contents of a certain box consist of 14 apples and 12 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Answer Choices: (A) 3 (B) 6 (C) 14 (D) 17 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
The objective here is... | 20,106 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 298 (B) 280 (C) 279 (D) 267 (E) 297<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(85/100) =... | 28,587 |
<|im_start|>user
What type of systemic response involves lymphocytes?
Answer choice: (A) natural (B) chronic (C) immune (D) inflammation<|im_end|>
<|im_start|>assistant
<think>
</think>
There are two different types of immune responses. Both types involve lymphocytes. However, one type of response involves B cells. T... | 4,028 |
<|im_start|>user
The diagonal of a cube is 8√3. find its volume and surface area.
Answer Choices: (A) 354 (B) 384 (C) 324 (D) 344 (E) 364<|im_end|>
<|im_start|>assistant
<think>
</think>
√3.a = 8 √3 => a = 8
Volume = a(power)3 => (8 × 8 × 8) Cm(power)3 => 512 Cm(power)3
Surface area => 6 a(power)2 => (6 × 8 × 8) Cm(p... | 36,525 |
<|im_start|>user
Find the circumference and area of radius 6 cm.
Answer Choices: (A) 113 cm² (B) 144 cm² (C) 154 cm² (D) 184 cm² (E) 194 cm²<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of circle = πr²
= 22/7 × 6 × 6 cm²
= 113 cm²
The answer is A<|endoftext|> | 23,698 |
<|im_start|>user
Oil cans x and y are right circular cylinders and the height and radius of y are each 4 times those of x. If the oil in can x filled to capacity sells for $2, how much does the oil in y sell for if y is only half filled?
Answer Choices: (A) $60 (B) $52 (C) $63 (D) $64 (E) $68<|im_end|>
<|im_start|>assi... | 72,956 |
<|im_start|>user
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 55 Kmph (B) 60 Kmph (C) 65 Kmph (D) 70 Kmph (E) 80 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 6
Distence ... | 58,108 |
<|im_start|>user
The S.I. on a certain sum of money for 3 years at 10% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Answer Choices: (A) 2197 (B) 1267 (C) 1750 (D) 2267 (E) 1400<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
C.I. = [4000 * (1 + 10/100)2... | 40,478 |
<|im_start|>user
The value of a mobile depreciates at the rate of 5% every year. It was purchased 2 years ago. If its present value is Rs.9025 , its purchase price was
Answer Choices: (A) 7500 (B) 8000 (C) 9000 (D) 9500 (E) 10000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
= Rs.10000
The answer is E... | 32,217 |
<|im_start|>user
SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
Answer Choices: (A) Rs. 1700 (B) Rs. 1720 (C) Rs. 1750 (D) Rs. 1850 (E) Rs. 2000<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I.
= Rs. 4000 x 1 + 10 2 - 4... | 88,769 |
<|im_start|>user
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ?
Answer Choices: (A) 200... | 74,447 |
<|im_start|>user
A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Answer Choices: (A) 4 hours (B) 4 hours 30 minutes (C) 4 hours 45 minutes (D) 5 hours (E) 6 hours<|im_end|>
<|im_start|>... | 56,204 |
<|im_start|>user
Science is a process of knowing about the natural universe through what two actions?
Answer choice: (A) thinking and guessing (B) changes and experimentation (C) observation and experimentation (D) guessing and observing<|im_end|>
<|im_start|>assistant
<think>
</think>
Science is a process of knowing... | 4,443 |
<|im_start|>user
What structure does methane have?
Answer choice: (A) two dimensional oxyhedra (B) two dimensional tetrahedra (C) three dimensional tetrahedra (D) three dimensional oxyhedra<|im_end|>
<|im_start|>assistant
<think>
</think>
Methane has a three-dimensional, tetrahedral structure.
The answer is C<|endoft... | 2,447 |
<|im_start|>user
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Answer Choices: (A) 8% (B) 3% (C) 4% (D) 2% (E) 1%<|im_end|>
<|im_start|>assistant
<think>
</think>
150 = (750*5*R)/100
R = 4%
The answer is C<|endoftext|> | 77,512 |
<|im_start|>user
If m+n gives remainder as 8 and m-n gives remainder as 6 when both are divide by 12, what is the remainder when m*n is divided by 6?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
let
m+n=12a+8
m-n=12b+6
m*n=(6*(a+b)+7)(6*(a-b)+1))
7%6=2
ans = 1
The ans... | 70,167 |
<|im_start|>user
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Answer Choices: (A) 4% (B) 13% (C) 20% (D) 23% (E) 26%<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 ... | 83,179 |
<|im_start|>user
A mixture of 150 liters of water and milk contains 20% milk. How much more milk should be added so that milk becomes 25% of the new mixture?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
A
10 liters
Number of liters of milk in150 liters of the mix... | 48,378 |
<|im_start|>user
If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price?
Answer Choices: (A) 2/3% (B) 2/8% (C) 2/1% (D) 1/3% (E) 23.07%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of the article be Rs. 100.
30% of 100 = 30.
N... | 29,432 |
<|im_start|>user
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a 9?
Answer... | 80,757 |
<|im_start|>user
Average of 10 two digit positive integer is Z. However, one number AB is taken as BA, then the average increases to Z+2.7. How many set of values for A and B are possible?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Total such possible ... | 93,240 |
<|im_start|>user
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,7). What is the least possible value of the slope of line L?
Answer Choices: (A) 6 (B) 2 (C) -2 (D) 1 (E) -10<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to find out the value of p and L to get to the... | 11,852 |
<|im_start|>user
If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
Answer Choices: (A) 4:3 (B) 16:9 (C) 64:27 (D) 3:4 (E) 3:8<|im_end|>
<|im_start|>assistant
<think>
</think>
a1:a2 = 4:3
d1:d2 = 4:3
The answer is A<|endoftext|> | 7,698 |
<|im_start|>user
The area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm. What is the perimeter of the square?
Answer Choices: (A) 100 (B) 800 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s = 5(25 * 5)
=> s = 25 cm
Perimeter o... | 53,074 |
<|im_start|>user
The sum of ages of 5 girls born at the intervals of 3 years each is 60 years. What is the age of the youngest girl?
Answer Choices: (A) years (B) years (C) years (D) years (E) years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) ... | 60,512 |
<|im_start|>user
x, y, and z are all unique numbers. If x is chosen randomly from the set {5, 6, 7, 8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
Answer Choices: (A) 1/5 (B) 3/20 (C) 1/7 (D) 2/15 (E) 3/28<|im_end|>
<|im_start|>a... | 12,620 |
<|im_start|>user
In how many ways Chief Minister and Minister be elected from a team of 15 members?
Answer Choices: (A) 128 (B) 131 (C) 132 (D) 143 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
To do this, if captain is elected first, then we have 15 ways of doing this.
For election of vice-captain, we hav... | 70,825 |
<|im_start|>user
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer a?
Answer Choices: (A) (2a-1) /(a^2- a) (B) a/2 (C) a^3 (a-1) (D) 2a-1 (E) 3a-1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let two consecutive positive integers be a and... | 71,686 |
<|im_start|>user
What is the dividend. divisor 17, the quotient is 8 and the remainder is 5
Answer Choices: (A) A) 145 (B) B) 141 (C) C) 150 (D) D) 153 (E) E) 158<|im_end|>
<|im_start|>assistant
<think>
</think>
D = d * Q + R
D = 17 * 8 + 5
D = 136 + 5
D = 141
The answer is B<|endoftext|> | 76,829 |
<|im_start|>user
How many positive integer solutions does the equation 2x+5y = 100 have?
Answer Choices: (A) 50 (B) 33 (C) 16 (D) 35 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
formula: (constant)/(lcm of two nos)
=100/(2*5)=10
The answer is E<|endoftext|> | 12,544 |
<|im_start|>user
A trader has 50 kg of pulses, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?
Answer Choices: (A) 5 kg, 45 kg (B) 15 kg, 35 kg (C) 10kg, 40 kg (D) None of these (E) Cannot be determined<|im_end|>
<|im_st... | 61,804 |
<|im_start|>user
The ratio of two quantities is 5 to 9. If each of the quantities is increased by 7, what is the ratio of these two new quantities?
Answer Choices: (A) 14/15 (B) It cannot be determined from the information given. (C) 15/19 (D) 21/22 (E) 11/12<|im_end|>
<|im_start|>assistant
<think>
</think>
let the a... | 86,449 |
<|im_start|>user
The price of 80 apples is equal to that of 120 oranges. The price of 60 apples and 75 oranges together is Rs.1320. The total price of 25 apples and 40 oranges is
Answer Choices: (A) 680 (B) 620 (C) 720 (D) 480 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of one apple = a and... | 11,448 |
<|im_start|>user
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was $1480?
Answer Choices: (A) $100 (B) $150 (C) $125 (D) $134 (E) $243<|im_end|>
<|im_start|>assistant
<think>
</th... | 26,155 |
<|im_start|>user
The ratio of two quantities is 10 : 7. If each of the quantities is increased by 2, their ratio changes to 15:11 then the greatest number is?
Answer Choices: (A) 10 (B) 12 (C) 15 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 10x and 7x
Then 10x+2 / 7x+2 = 15/11
110... | 14,363 |
<|im_start|>user
If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 13.2
II. 12.3
III. 9.3
Answer Choices: (A) I only (B) I and II only (C) II only (D) III only ... | 11,142 |
<|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... | 4,769 |
<|im_start|>user
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Answer Choices... | 71,754 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 5,317 |
<|im_start|>user
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer M that must divide n is?
Answer Choices: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive inte... | 25,899 |
<|im_start|>user
The umbilical cord connects the fetus to what structure?
Answer choice: (A) Ovaries (B) uterus (C) cell (D) placenta<|im_end|>
<|im_start|>assistant
<think>
</think>
The fetus is connected to the placenta through the umbilical cord. This is a long tube that contains two arteries and a vein. Blood fro... | 11,124 |
<|im_start|>user
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
Answer Choices: (A) 81 (B) 82 (C) 85 (D) 90 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the numbers are co-prime, they... | 76,992 |
<|im_start|>user
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Answer Choices: (A) 18 sec (B) 70 sec (C) 21 sec (D) 20 sec (E) 19 sec<|im_end|>
<|im_start|>assistant
<thi... | 68,060 |
<|im_start|>user
When 24 is divided by the positive integer i, the remainder is 4. Which of the following statements about i must be true?
I. i is even
II. i is a multiple of 5
III. i is a factor of 20
Answer Choices: (A) III only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III<|im_end|>
<|i... | 42,901 |
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