text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
For any real number x, the operatoris defined as:
(x) = x(2 − x)
If p + 2 =(p + 2), then p =
Answer Choices: (A) 1 (B) 0 (C) 1 (D) -2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(x) = x(2 − x)
(p + 2) = (p + 2)(2 - p - 2) = -p(p+1)
We are given that p + 2 =(p + 2)
Therefore -p(p+2) = (p + ... | 240 |
<|im_start|>user
In the storage room of a certain bakery, the ratio of sugar to flour is 3 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
Answer Choices: ... | 28,115 |
<|im_start|>user
In 130 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Answer Choices: (A) 20 m (B) 25 m (C) 22.5 m (D) 26 m (E) 12 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance covered by B in 9 sec. = 130/45 x 9 m = 26 m.
A beats B by 26 metres.
The answer ... | 35,121 |
<|im_start|>user
What distance will be covered by a bus moving at 108 kmph in 30 seconds?
Answer Choices: (A) 287 (B) 600 (C) 289 (D) 276 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
108 kmph = 108 * 5/18
= 30 mps
D = Speed * time = 30 * 30
= 900 m.
The answer is E<|endoftext|> | 71,838 |
<|im_start|>user
Working alone at its constant rate, machine A produces x boxes in 5 minutes and working alone at its constant rate, machine B produces 2x boxes in 10 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Answer Choices: ... | 4,146 |
<|im_start|>user
A train when moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 45 kmph, then it reaches its destination 30 minutes late. Find the length of journey.
Answer Choices: (A) 70 km (B) 76 km (C) 85 km (D) 90 km (E) None of these<|im_end|>
<|im_start|>assist... | 45,598 |
<|im_start|>user
The average age of 50 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?
Answer Choices: (A) 59 (B) 55 (C) 61 (D) 45 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Total age of 50 students = 50*10 = 500
Total age of 51 ... | 48,925 |
<|im_start|>user
what are the number of solutions for x+y+z=12, if x,y & z can take values from 1 to 7 ?
Answer Choices: (A) 34 (B) 35 (C) 36 (D) 37 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
if x=1, (y,z) can be (4,7)(5,6)(6,5)(7,4)
if x=2, (y,z) can be (3,7)(4,6)(5,5)(6,4)(7,3)
if x=3, (y,z) can be (2,... | 69,391 |
<|im_start|>user
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Answer Choices: (A) 28 (B) 68 (C) 25 (D) 23 (E) 11<|im_end|>
<|im_start|>assistant
<t... | 24,295 |
<|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 kilometer.
Time tells you how long... | 1,597 |
<|im_start|>user
In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number P and the smallest possible number of students that could have taken both geometry and biology?
Answer Choices: (A) 144 (B) 119 (C) 113 (D) 88 (E) 31<|im_end|>
<|im... | 67,906 |
<|im_start|>user
I. 9a2 + 18a + 5 = 0,
II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
Answer Choices: (A) If a > b (B) If a ≥ b (C) If a < b (D) If a ≤ b (E) If a = b or the relationship between a and b cannot be established.<|im_end|>
<|im_start|>assistant
<think>
</think>
I. 9a2 +... | 75,235 |
<|im_start|>user
The length of a rectangular garden is three times its width. If the area of the rectangular garden is 432 square meters, then what is the width of the rectangular garden?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the width of the garden... | 22,622 |
<|im_start|>user
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 3.6 sec (B) 18 sec (C) 36 sec (D) 72 sec (E) 84 sec<|im_end|>
<|im_start|>assi... | 80,764 |
<|im_start|>user
A train 110 m long is running with a speed of 30 km/h. In how many seconds will the train pass a man who is running at 3 km/h in the direction opposite to that in which the train is going?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
The speed of t... | 32,482 |
<|im_start|>user
Select the non termination decimal among the following.
Answer Choices: (A) 2/5 (B) 3/4 (C) 4/5 (D) 19/3 (E) 9/10<|im_end|>
<|im_start|>assistant
<think>
</think>
D. Non terminating decimal me
The answer is D<|endoftext|> | 39,182 |
<|im_start|>user
Felsic, intermediate, mafic, and ultramafic are types of composition of what rock group?
Answer choice: (A) Sedimentary (B) asteroids (C) igneous (D) metamorphic<|im_end|>
<|im_start|>assistant
<think>
</think>
Igneous rocks are classified by composition and texture. The composition can be felsic, in... | 427 |
<|im_start|>user
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.
Answer Choices: (A) 150 (B) 174 (C) 180 (D) 166 (E)... | 82,393 |
<|im_start|>user
The smallest 3 digit prime number is
Answer Choices: (A) A) 113 (B) B) 103 (C) C) 109 (D) D) 101 (E) E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
The smallest 3-digit number is 100, which is divisible by 2.
100 is not a prime number.
101 < 11 and 101 is not divisible by any of the prime n... | 71,035 |
<|im_start|>user
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did la... | 52,214 |
<|im_start|>user
The average age of 15 students of a class is 14 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Answer Choices: (A) 3years (B) 4years (C) 5years (D) 6years (E) 7years<|im_end|>
<|im_start|>assistant
<think>
</... | 280 |
<|im_start|>user
If x and y are integers, what is the least positive number of 24x+18y?
Answer Choices: (A) 3 (B) 6 (C) 9 (D) 12 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
24x+21y = 6(4x+3y) which will be a minimum positive number when 4x+3y = 1.
4(1) + 3(-1) = 1
Then 6(4x+3y) can have a minimum positive... | 48,332 |
<|im_start|>user
There are 6 ladies and 5 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.
Answer Choices: (A) 85400 (B) 86400 (C) 36400 (D) 65600 (E) 88600<|im_end|>
<|im_start|>assistant
<think>
</think>
First arrange the ladies. This is a circular ... | 31,604 |
<|im_start|>user
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ?
Answer Choices: (A) 8 minutes (B) 10 minutes (C) 12 minutes (D) 14 minutes (E) 16 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Due to s... | 68,958 |
<|im_start|>user
If an investor puts $600 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Answer Choices: (A) $661.50 (B) $663.50 (C) $665.50 (D) $667.50 (E) $669.50<|im_end|>
<|im_start|>assistant
<think>
</think>
1.05*1.05*600... | 85,048 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
The Fourth Amendment protects people against "unreasonable searches." Which is an example of the type of "unreasonable search" this amendment protects against?
Answer Choices: (A) A teacher asks a student to answ... | 1,774 |
<|im_start|>user
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. z T z/z-1=1
II.x T (-z)=0
III. 2/z T 2/z=z
Answer Choices: (A) a.) I (B) b.) I and II only (C) c) I and III only (D) d) II and III only (E) e) I, II... | 17,477 |
<|im_start|>user
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 54. What is the rate of interest per annum?
Answer Choices: (A) 8 (B) 2 (C) 9 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
[15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 54
15000[(1... | 31,958 |
<|im_start|>user
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 70, how many questions did Student A answer correctly?
Answer Choices: (A) 55 (B) 90 (C) 73 (D... | 33,241 |
<|im_start|>user
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Answer Choices: (A) 202 (B) 200 (C) 209 (D) 207 (E) 201<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to select two men and three women = ⁵C₂ * ⁶C₃
= (5 *4 )/(... | 75,294 |
<|im_start|>user
What type of tissue is made up of cells that have the unique ability to contract?
Answer choice: (A) connective tissue (B) epithelial tissue (C) nervous tissue (D) muscle tissue<|im_end|>
<|im_start|>assistant
<think>
</think>
Muscle tissue is made up of cells that have the unique ability to contract... | 7,132 |
<|im_start|>user
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
Answer Choices: (A) 21 (B) 23 (C) 25 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
We know that the average value is 22 the... | 55,862 |
<|im_start|>user
The area of a rectangular plot is 360 square metres. If the length is 25% less than the breadth, what is the breadth of the plot?
Answer Choices: (A) 32 m (B) 12 m (C) 20 m (D) 22 m (E) 25 m<|im_end|>
<|im_start|>assistant
<think>
</think>
length =75% of breadth.
length×breadth =360 m2
⇒ 75% of bread... | 62,499 |
<|im_start|>user
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 152 per Kg , the price of the third variety per Kg will be?
Answer Choices: (A) Rs. 147.50 (B) Rs. 785.50 (C) Rs. 174.50 (D) Rs. 258.50 (E) None of these<|im_end|>
<|im_start|>... | 42,368 |
<|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 through families. Children gain these traits from their paren... | 5,727 |
<|im_start|>user
5,9,18,31,52,__
Answer Choices: (A) 79 (B) 80 (C) 86 (D) 82 (E) 83<|im_end|>
<|im_start|>assistant
<think>
</think>
(9+5) +4 = 18
(16+9) +6 = 31
(28+16)+8 = 52
(48+28)+10 = 86
The answer is C<|endoftext|> | 85,031 |
<|im_start|>user
Lilly has 10 fish and Rosy has 12 fish. In total, how many fish do they have in all?
Answer Choices: (A) 18 (B) 20 (C) 22 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
10+12=22
The answer is C<|endoftext|> | 28,245 |
<|im_start|>user
A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ?
Answer Choices: (A) 30 (B) 35 (C) 25 (D) 32 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate*Time = Work
Since the work ... | 77,754 |
<|im_start|>user
In the coordinate plane, the points F (-1,1), G (1,3), and H (3,1) lie on a circle with center P. What are the coordinates of point P ?
Answer Choices: (A) (0,0) (B) (1,1) (C) (1,2) (D) (1,-2) (E) (2.5, -2.5) <|im_end|>
<|im_start|>assistant
<think>
</think>
I thought I need to find the 4th point... | 24,194 |
<|im_start|>user
A number is doubled and 9 is added. If resultant is trebled, it becomes 57. What is that number
Answer Choices: (A) 5 (B) 10 (C) 12 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=> 3(2x+9) = 57
=> 2x+9 = 19
=> x = 5
The answer is A<|endoftext|> | 74,135 |
<|im_start|>user
In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks B are made of cotton?
Answer Choices: (A) 100 (B) 80 (C) 60 (D) 50 (E) 25<|im_end|>
<|im_start|>... | 28,597 |
<|im_start|>user
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 4 %. The rate of interest obtained is
Answer Choices: (A) 5% (B) 5.28% (C) 5.30% (D) 5.50% (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
Shares = 20 shares
50 at 5 discount
rate divident 4%
req ===> 5.28%
The answer ... | 44,063 |
<|im_start|>user
Sum of two numbers is 30. Two times of the first exceeds by 10 from the three times of the other. Then the numbers will be?
Answer Choices: (A) 14, 16 (B) 16, 14 (C) 18, 12 (D) 12, 18 (E) 17, 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
x + y = 30
2x – 3y = 10
x = 16 y = 14... | 85,320 |
<|im_start|>user
If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, then what is the probability that xy will be even?
Answer Choices: (A) 5/6 (B) 2/6 (C) 2by3 (D) 1/2 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
S = {(1,5), (1,6), (1,7), (2,5), (2,6... | 1,979 |
<|im_start|>user
If a wagon wheel had 10 more spokes, the angle between them would decrease by 6 degrees. Can you identify the number of spokes in the wheel?
Answer Choices: (A) 20 spokes (B) 10 spokes (C) 30 spokes (D) 15 spokes (E) 25 spokes<|im_end|>
<|im_start|>assistant
<think>
</think>
A
20 spokes
360/S = A
360... | 52,634 |
<|im_start|>user
Which of the following numbers is between 1⁄2 and 1⁄3?
Answer Choices: (A) .55 (B) .38 (C) .29 (D) .22 (E) .20<|im_end|>
<|im_start|>assistant
<think>
</think>
1/3 = .333...
1/2 = .5
The only number between these two is 0.38.
The answer is B<|endoftext|> | 1,457 |
<|im_start|>user
An eccentric casino owner decides that his casino should only use chips in $3 and $5 denominations. Which of the following amount cannot be paid out using these chips?
Answer Choices: (A) $19 (B) $21 (C) $14 (D) $9 (E) $11<|im_end|>
<|im_start|>assistant
<think>
</think>
Yes, the number of 3 or/and 5... | 72,196 |
<|im_start|>user
What structure is a larger assembly of several polypeptide chains that are now referred to as subunits of the protein?
Answer choice: (A) digital structure (B) geological structure (C) quaternary structure (D) pyramid structure<|im_end|>
<|im_start|>assistant
<think>
</think>
Quaternary structure is ... | 4,607 |
<|im_start|>user
A train 820 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Answer Choices: (A) 510 (B) 540 (C) 480 (D) 520 (E) 589<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of th... | 43,302 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 5,245 |
<|im_start|>user
If the average (arithmetic mean) of (2a+16) and (3a-8) is 74, what is the value of a?
Answer Choices: (A) 25 (B) 30 (C) 28 (D) 36 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
((2a+16) + (3a-8)) / 2 = (5a+8)/2 = 74
a= 28
The answer is C<|endoftext|> | 54,159 |
<|im_start|>user
How many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph?
Answer Choices: (A) 17 sec (B) 21 sec (C) 23.3 sec (D) 27.5 sec (E) 29 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 150 + 200 = 350
S = 54 * 5/18 = 15 mps
T = 350/15 ... | 13,030 |
<|im_start|>user
30 is what percent of 100?
Answer Choices: (A) 35% (B) 30% (C) 45% (D) 50% (E) 55%<|im_end|>
<|im_start|>assistant
<think>
</think>
30/100×100=30%
The answer is B<|endoftext|> | 57,990 |
<|im_start|>user
The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Answer Choices: (A) 288 (B) 240 (C) 288 (D) 277 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
4a = 68 => a = 17
172 – 82 = 152
1/2 * 16 * 30 = 240.
The answer is B<|endoftext|> | 63,490 |
<|im_start|>user
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 7 questions, if Sterling had an... | 14,847 |
<|im_start|>user
A shop owner sells 56 apples and gains SP of 16 apples. Find the gain %?
Answer Choices: (A) 30% (B) 40% (C) 50% (D) 56% (E) 78%<|im_end|>
<|im_start|>assistant
<think>
</think>
Gain=16 apples
Total 56 apples
CP 56-16=40
(16/40)*100
=40%
The answer is B<|endoftext|> | 39,703 |
<|im_start|>user
For a certain exam,a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
Answer Choices: (A) 74 (B) 76 (C) 78 (D) 58.67 (E) 82.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Mean-5SD=42
Mean+2.5SD=67
By so... | 60,065 |
<|im_start|>user
What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
3 Ducks
The answer is A<|endoftext|> | 10,463 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 3,040 |
<|im_start|>user
To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is?
Answer Choices: (A) 20% (B) 30% (C) 25% (D) 15% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
Quantity of sugar = 40*3/100 = 1.2kg
New percentage = 1.2/4 * 100... | 64,253 |
<|im_start|>user
If 10 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Answer Choices: (A) 41 (B) 42 (C) 43 (D) 44 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
n(n-1)/2 =10*9/2
=45
The answer is E<|endoftext|> | 72,025 |
<|im_start|>user
A rectangular tank can hold k litres of water.How many litres of water can tank hold if all dimensions doubles.
Answer Choices: (A) 8k liters (B) 7k litrs (C) 9k litrs (D) 5k litrs (E) 6k litrs<|im_end|>
<|im_start|>assistant
<think>
</think>
let dimensions of tank are x*y*z=xyz
so xyz can hold k lit... | 57,360 |
<|im_start|>user
In a class of 50 students, 3/5 went away do painting, 1/5 went to play in the field. How many students are left in the classroom?
Answer Choices: (A) 20 (B) 30 (C) 5 (D) 8 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
3/5 + 1/5 are the students who have left the classroom
3/5 + 1/5 = (3 + 1... | 14,526 |
<|im_start|>user
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 1000. What is the manager's monthly salary ?
Answer Choices: (A) Rs.16003 (B) Rs.16029 (C) Rs.22500 (D) Rs.16108 (E) Rs.16011<|im_end|>
<|im_start|>assis... | 58,199 |
<|im_start|>user
What kind of solids are generally classified by the forces that hold their particles together and include ionic, metallic, covalent network, and molecular types?
Answer choice: (A) crystalline solids (B) distinct solids (C) helium solids (D) flat solids<|im_end|>
<|im_start|>assistant
<think>
</think>... | 6,866 |
<|im_start|>user
Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took P.E. as an elective, 1/3 of the students took Theatre as an elective, and all of the other students took Music. In this year, 1/3 of the students who took P.E. and 1/4 of the students wh... | 911 |
<|im_start|>user
The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change simultaneously .
Answer Choices: (A) 8:29:12 hrs (B) 8:22:12 hrs (C) 8:25:12 hrs (D) 8:27:12 hrs (E) 8... | 80,189 |
<|im_start|>user
A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
Answer Choices: (A) 12 hours (B) 6 hours (C) 8 hours (D) 10 hours (E) 4 hours<|im_end|>
<|im_start|>assistant
<think... | 54,468 |
<|im_start|>user
Mangala completes a piece of work in 12 days, Raju completes the same work in 36 days. If both of them work together, then the number of days required to complete the work is
Answer Choices: (A) 6 days (B) 7 days (C) 8 days (D) 9 days (E) 11 days<|im_end|>
<|im_start|>assistant
<think>
</think>
If A ... | 2,758 |
<|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 kilometer.
Time tells you how long... | 4,408 |
<|im_start|>user
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 8% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Answer Choices: (A) 5:1 (B) 5:5 (C) 5:8... | 946 |
<|im_start|>user
What are long chains of amino acids?
Answer choice: (A) lipids (B) proteins (C) Fatty Acid Chains (D) cells<|im_end|>
<|im_start|>assistant
<think>
</think>
The reverse reaction (amide hydrolysis) is very useful in the study of protein structure. Proteins are long chains of amino acids (each amino ac... | 7,925 |
<|im_start|>user
A and B both work for the same company. A goes to work Monday through Thursday, and B goes to work Tuesday thru Thursday. A takes 2 weeks of vacation per year, and B only takes 1 week. They do not take their vacations during the same week. What percent of the year can they carpool to work together, ass... | 57,622 |
<|im_start|>user
What takes place directly after developing a hypothesis in the scientific method process?
Answer choice: (A) gathering materials (B) making a conclusion (C) testing the hypothesis (D) independent variables<|im_end|>
<|im_start|>assistant
<think>
</think>
Scientific method is a process consisting of m... | 4,417 |
<|im_start|>user
A can finish a work in 60days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Answer Choices: (A) 10days (B) 25days (C) 6days (D) 7days (E) 8days<|im_end|>
<|im_start|>assistant
<think>
</think>
B+C 1day work = 1/9 + 1/12 =... | 94,737 |
<|im_start|>user
Solution A is 20% salt and Solution B is 70% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
Answer Choices: (A) 6:4 (B) 6:14 (C) 2:3 (D) 4:6 (E) 3:7<|im_end|>
<|im_start|>assistan... | 5,498 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 150 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 299 (B) 277 (C) 276 (D) 370 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the t... | 44,362 |
<|im_start|>user
Rs.8000 become Rs.8820 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Answer Choices: (A) 6 years (B) 8 years (C) 9 years (D) 3 years (E) 2 years<|im_end|>
<|im_start|>assistant
<think>
</think>
8820 = 8000(21/20)N
(21/20)^2 = (21/20)N => N = 2
. At the end of two ye... | 93,342 |
<|im_start|>user
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) 10 min (B) 15 min (C) 24 min (D) 12 min (E) 8 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
T = 9/45 * 60 = 12 min
D)
T... | 73,578 |
<|im_start|>user
A bag contains 6 red, 4 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Answer Choices: (A) 1/13 (B) 2/23 (C) 5/26 (D) 5/22 (E) 3/23<|im_end|>
<|im_start|>assistant
<think>
</think>
P(Both are red),
=6C212C2=6C212C2
=15/66=5/22
D
The answer is D<|end... | 46,773 |
<|im_start|>user
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Answer Choices: (A) 280 (B) 290 (C) 300 (D) 340 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of ways = 61/21 6X5X4X3X2X1 - 360
E
The answer is E<|endoftext|> | 37,594 |
<|im_start|>user
What should come next in the following letter sequence?
A A B A B C A B C D A B C D E A B C D
Answer Choices: (A) T (B) E (C) H (D) F (E) V<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 15,137 |
<|im_start|>user
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Answer Choices: (A) Rs.48 (B) Rs.64 (C) Rs.44 (D) Rs.46 (E) Rs.34<|im_end|>
<|im_start|>assistant
<think>
</think>
π (152 - 132)
= 176
176 * 1/4
= Rs.44
The answer is C<|endoftext... | 92,323 |
<|im_start|>user
What is the simplified result of following the steps below in order?
(1) add 5y to 2z
(2) multiply the sum by 3
(3) subtract z + y from the product
Answer Choices: (A) 5z + 14y (B) 5x + 16y (C) 5x + 5y (D) 6x + 4y (E) 3x + 12y<|im_end|>
<|im_start|>assistant
<think>
</think>
3(5Y+2Z) -Z-Y= 14Y+5Z
'A'... | 6,903 |
<|im_start|>user
By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price
Answer Choices: (A) Rs. 700/- (B) Rs. 800/- (C) Rs. 900/- (D) Rs. 1000/- (E) Rs. 1100/-<|im_end|>
<|im_start|>assistant
<think>
</think>
80 % ------> 640 (80 * 8 = 640)
100 % ------>800 (100 * 8 = 800)
Cost price = Rs. 800... | 21,931 |
<|im_start|>user
In how many ways 8 different tickets can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
Answer Choices: (A) From 2 to 6 inclusive. (B) From 98 to 102 inclusive. (C) From 122 to 126 inclusive. (D) From 128 to 132 inclusive (E) F... | 83,918 |
<|im_start|>user
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 17% (B) 72% (C) 12% (D) 82% (E) 36%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
... | 96,472 |
<|im_start|>user
Which of the following integers doesn't have a divisor greater than 1 that is the square of an integer?
Answer Choices: (A) 12 (B) 36 (C) 100 (D) 61 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime Factorization
12=2*2*3=2^2*3. Includes a perfect square of 4.
36=2*2*3*3=2^2*3^2. Includes... | 64,462 |
<|im_start|>user
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 7200 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Answer Choices: (A) 9000 (B) 98000 (C) 40000 (D) 11000 (E) 12000<|im_end|>
<|im_start|>assista... | 64,369 |
<|im_start|>user
A sum of money is sufficient to pay P's wages for 24 days and Q's wages for 40 days. The same money is sufficient to pay the wages of both for?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total money be $x
P's 1day work = $ x/24
Q's 1day... | 56,650 |
<|im_start|>user
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Answer Choices: (A) 5:16 (B) 5:12 (C) 5:19 (D) 5:18 (E) 5:14<|im_end|>
<|im_start|>assistant
<think>
</thi... | 17,547 |
<|im_start|>user
A room contains 160 people, 20 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Answer Choices: (A) 10 (B) 20 (C) 40 (D) 60 (E) 80<|im_end|>
<|im_start|>assistant
<think... | 82,860 |
<|im_start|>user
A numberais squared and then multiplied by negative 3. The result of this operation W is equal to three times the sum of three timesaand two. What is one possible value ofa?
Answer Choices: (A) -3 (B) -2 (C) 1 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
W=-3*a^2=3(3a+2)
a= -2 or -1
a... | 8,904 |
<|im_start|>user
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses R at the restaurant? (Assume that all boxes ar... | 28,910 |
<|im_start|>user
The sun and many other light sources produce waves that are randomly this?
Answer choice: (A) obfuscated (B) amplified (C) colored (D) polarized<|im_end|>
<|im_start|>assistant
<think>
</think>
The Sun and many other light sources produce waves that are randomly polarized (see Figure 27.39). Such lig... | 5,765 |
<|im_start|>user
kumar saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Answer Choices: (A) 15400 (B) 14300 (C) 13200 (D) 12800 (E) 9500<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option D
Let the monthly salary of kumar be Rs. x.
68% of x = 27200
=> x = (27200 * 100)/68 =... | 6,658 |
<|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... | 6,435 |
<|im_start|>user
By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?
Answer Choices: (A) 16 (B) 18 (C) 20% (D) 22 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let S.P. of 45 lemons be Rs. x.
Then, 80 : 40 = 120 : x or x = 40x120... | 46,669 |
<|im_start|>user
Four persons can cross a bridge in 3,7,13,17 minutes.Only two can cross at a time.Find the minimum time taken by the four to cross the bridge ?
Answer Choices: (A) 20 minutes. (B) 25 minutes. (C) 30 minutes. (D) 40 minutes. (E) 60 minutes.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 48,079 |
<|im_start|>user
a = 2^15 - 625^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?
Answer Choices: (A) None (B) One (C) Two (D) Three (E) Four<|im_end|>
<|im_start|>assistant
<think>
</thin... | 44,843 |
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