text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 25 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Answer Choices: (A) 7 (B) 5 (C) 2 (D) 3 ... | 75,049 |
<|im_start|>user
What is the minimum number of people to join into this group so that when they are grouped into 5, none will remain ungrouped ? Without newcomers when they are grouped into 6, 4 of them remain ungrouped and when they are grouped into 9, 7 of then reamin ungrouped.
Answer Choices: (A) 2 (B) 4 (C) 6 (D) ... | 22,743 |
<|im_start|>user
Which one of the given numbers is divisible by 11?
Answer Choices: (A) 4823718 (B) 8423718 (C) 8432718 (D) 4832817 (E) 4852718<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4832817 = (4+3+8+7) – (8+2+1) = 11
So, the given number is divisible by 11
The answer is D<|endoftext|> | 52,312 |
<|im_start|>user
Rakesh's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed ?
A... | 25,816 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Answer Choices: (A) 150 meter (B) 145 meter (C) 140 meter (D) 135 meter (E) 130 meter<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train(... | 24,033 |
<|im_start|>user
In how many ways the letters of the word MOUSE be arranged?
Answer Choices: (A) 140 (B) 150 (C) 160 (D) 120 (E) 170<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways of arranging the letters = 5! = 120 ways.
D)
The answer is D<|endoftext|> | 10,034 |
<|im_start|>user
In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats?
Answer Choices: (A) 6 (B) 12 (C) 14 (D) 16 (E) 20<|im_end|>
<|im_start|>assi... | 24,539 |
<|im_start|>user
n is a positive integer, and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1440, then the smallest possible value of n is
Answer Choices: (A) 8 (B) 12 (C) 16 (D) 18 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
When we say k is the product of all integers fro... | 69,299 |
<|im_start|>user
Multiply: (x-4)(X+5)
Answer Choices: (A) xpower2 + 5x-20 (B) xpower2 - 4x - 20 (C) xpower2 - x - 20 (D) xpower2 + x - 20 (E) x - 20<|im_end|>
<|im_start|>assistant
<think>
</think>
(x-4)(x+5)=x(X+5)-4(x+5), = xpower2 + 5x - 4x - 20, =xpower2 + x - 20 . the
The answer is D<|endoftext|> | 46,507 |
<|im_start|>user
Each writer for the local newspaper is paid as follows: a dollars for each of the first n stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits n + a stories in a month earn than a writer who submits n + b stories?
Answer Choices: ... | 54,971 |
<|im_start|>user
The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Answer Choices: (A) 276 (B) 300 (C) 299 (D) 322 (E) 345<|im_end|>
<|im_start|>assistant
<think>
</think>
the numbers are (20 x 11) and (20 x 15).
Larger number = (20 x 15) = 300.... | 19,139 |
<|im_start|>user
Sara works 5 days a week at d dollars per day for m weeks out of the month. Which of the following represents her monthly pay?
Answer Choices: (A) m/(5d) (B) 20d (C) 5d (D) 5dm (E) 20d/m<|im_end|>
<|im_start|>assistant
<think>
</think>
Total income of Sara in a month = d*5*m dollars. = d*5*m = 5dm
T... | 84,718 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 24 seconds. The ratio of their speeds is?
Answer Choices: (A) 3/6 (B) 3/2 (C) 7/3 (D) 3/5 (E) 5/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 54,956 |
<|im_start|>user
The remainder when W=1+3+3^2+3^3+..........+3^200 is divided 13.
Answer Choices: (A) 12 (B) 7 (C) 0 (D) 5 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
W=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n te... | 3,695 |
<|im_start|>user
When alternating primary current passes through coil p, it does what to the iron core?
Answer choice: (A) electrilizes it (B) magnetizes it (C) creates it (D) heats it<|im_end|>
<|im_start|>assistant
<think>
</think>
As you can see in Figure above , a transformer consists of two wire coils wrapped ar... | 5,753 |
<|im_start|>user
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
Answer Choices: (A) 10 days (B) 14 days (C) 15 days (D) 9 days (E) 7 days<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 68,659 |
<|im_start|>user
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
Answer Choices: (A) 0.05 (B) 0.15 (C) 0.45 (D) 0.5 (E) 0.55<|im_end|>
<|im_start|>ass... | 80,743 |
<|im_start|>user
If 4^k = 5, then 4^(2k+2) =
Answer Choices: (A) 400 (B) 540 (C) 100 (D) 830 (E) 420<|im_end|>
<|im_start|>assistant
<think>
</think>
4^k=5
4^2k=5^2
4^2k=25
4^(2k+2)
=4^2k*4^2
=25*16
=400
The answer is A<|endoftext|> | 16,321 |
<|im_start|>user
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/6 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Answer Choices: (A) 36 (B) 60 (C) 108 (D) 60 (E)... | 43,205 |
<|im_start|>user
What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 21?
Answer Choices: (A) 5037 (B) 5447 (C) 5867 (D) 6297 (E) 6617<|im_end|>
<|im_start|>assistant
<think>
</think>
When increased by 3, the number must include at least 2^2*3^2*5^2*7 = 6300
The answer is D<|endoftext... | 33,870 |
<|im_start|>user
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical T present. If the concentration of chemical T is increased by 100 percent, which of the following is closest to the perce... | 1,774 |
<|im_start|>user
What will be the LCM of 8, 24, 36 and 54
Answer Choices: (A) 54 (B) 108 (C) 216 (D) 432 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
LCM of 8-24-36-54 will be
2*2*2*3*3*3 = 216
The answer is C<|endoftext|> | 88,750 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 2 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 89 (B) 23 (C) 52.8 (D) 79.2 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y ... | 28,123 |
<|im_start|>user
What reaction is considered the reverse of photosynthesis?
Answer choice: (A) cellular transfer (B) cellular decay (C) cellular digestion (D) cellular respiration<|im_end|>
<|im_start|>assistant
<think>
</think>
Many important biological processes involve redox reactions, which frequently store and r... | 5,580 |
<|im_start|>user
What is the square root of 121?
Answer Choices: (A) 11 (B) 12 (C) 16 (D) 18 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
11X11 = 121
The answer is A<|endoftext|> | 42,154 |
<|im_start|>user
If 2x = 3y = 10, then 3xy = ?
Answer Choices: (A) 100 (B) 200 (C) 120 (D) 50 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
2x = 10;x=5
3y = 10;y=10/3
Multiply: 3xy=3*5*10/3=50
The answer is D<|endoftext|> | 90,570 |
<|im_start|>user
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Answer Choices: (A) 39 km (B) 76 km (C) 25 km (D) 15 km (E) 30 km<|im_end|>
<|im_start|>assistant
<th... | 48,335 |
<|im_start|>user
What is the term for tough protein fibers that connects bones to each other?
Answer choice: (A) tetons (B) cords (C) ligaments (D) muscles<|im_end|>
<|im_start|>assistant
<think>
</think>
Ligaments are made of tough protein fibers and connect bones to each other. Your bones, cartilage, and ligaments ... | 11,657 |
<|im_start|>user
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Answer Choices: (A) 18 (B) 12 (C) 27 (D) 21 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
9 ... | 52,572 |
<|im_start|>user
If equation |x/2| + |y/2| = 1 encloses a certain region on the coordinate plane, what is the area of this region?
Answer Choices: (A) 8 (B) 50 (C) 100 (D) 200 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
The equation can be reduced to intercept form as |x/2| + |y/2| = 1, so these are line... | 52,555 |
<|im_start|>user
A boy has five trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Answer Choices: (A) 75 ways (B) 87 ways (C) 66 ways (D) 108 ways (E) 21 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The boy can select one trouser in five ways.
The boy can se... | 96,008 |
<|im_start|>user
John throws a coin until a series of four consecutive heads or three consecutive tails appears. What is the probability that the game will end after the fifth throw?
Answer Choices: (A) 1/16 (B) 2/16 (C) 3/16 (D) 7/16 (E) 9/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's consider the routes... | 84,110 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement. It tells about something. A declarative sentence always ends with a period.
I have an older brother and a younger sister.
An interrogative sentence is... | 6,448 |
<|im_start|>user
The penis, testes and epididymes are structures in what male anatomical system?
Answer choice: (A) endocrine (B) protective (C) reproductive (D) immune<|im_end|>
<|im_start|>assistant
<think>
</think>
The male reproductive system consists of structures that produce sperm and secrete testosterone. The... | 3,227 |
<|im_start|>user
The sum of two consecutive integers is 61. Find the numbers.
Answer Choices: (A) 17, 18 (B) 30,31 (C) 5, 6 (D) 1, 2 (E) 8, 9<|im_end|>
<|im_start|>assistant
<think>
</think>
n + (n + 1) = 61
2n + 1 = 61
2n = 60
n = 30
The answer is B<|endoftext|> | 23,079 |
<|im_start|>user
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 5 days and left the job. how many days does X alone need to finish the remaining work?
Answer Choices: (A) 12 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by X in 1 day = 1/18
Work... | 56,158 |
<|im_start|>user
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1395 as rent for parking his cars, what is the total rent paid by all th... | 28,243 |
<|im_start|>user
An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
Answer Choices: (A) 5500 (B) 7500 (C) 3500 (D) 2500 (E) 4500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of meters to be examined be x.
Then, 0.08% of x =2
[(8/100)*(1/100)*x] = 2
x = [(2*... | 18,497 |
<|im_start|>user
The price of 5 kilograms of Wheat was $3 in 1995. In 2015, the price had increased to $5. What was the percent increase in the price of the 5 kilograms of Wheat?
Answer Choices: (A) 66.6% (B) 76.4% (C) 67.7% (D) 38.3% (E) 78%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = 5 - 3 = 2
% inc... | 86,801 |
<|im_start|>user
Find the average of first 27 natural numbers.
Answer Choices: (A) 14 (B) 14.2 (C) 15.2 (D) 15.8 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of first n natural numbers = n(n+1)/2
Hence, sum of first 27 natural numbers = (27 x 28)/2 = 378
Therefore, required average of = 37... | 898 |
<|im_start|>user
A wholesaler makes a 10% commission on the selling price for each bag of cat food it sells. If it sells 100 bags of cat food and makes $160 in commission, what was the selling price of each bag?
Answer Choices: (A) $4.00 (B) $4.80 (C) $9.60 (D) $16.00 (E) $32.00<|im_end|>
<|im_start|>assistant
<think>
... | 33,230 |
<|im_start|>user
The perimeter of an isosceles right triangle is 12 + 12 sq rt 2. What is the length of the hypotenuse of the triangle?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8.485 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
side of triangle is a then perimeter = a+ a +a.sqrt2 ( right angle and pythagorus) ... | 90,656 |
<|im_start|>user
The CP of 20 apples are the same as the SP of y apples. If the profit is 25%, then the value of y is?
Answer Choices: (A) 8 (B) 12 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = ... | 29,614 |
<|im_start|>user
David is 18 years older than his daughter Rosy. In 6 years David will be twice as old as Rosy. What is Rosy current age.
Answer Choices: (A) 12 (B) 14 (C) 18 (D) 24 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Now: Rosy = x, David =x+18
In 6 years Rosy = x+6, David = x+18+6 or 2(x+6)
x+24=... | 21,418 |
<|im_start|>user
A furniture dealer purchased a desk for $120 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Answer ... | 53,897 |
<|im_start|>user
In a tennis match if the first serve is not legal, that means a fault a second serve is allowed. Normally, 20 to 40 serves are required in a set of tennis match. At the end of a set, set summary stats reveal that first serves percentage was 63%. If m out of n were first serves then m + n is equal to
An... | 5,363 |
<|im_start|>user
What effect causes global winds to blow on a diagonal over the earth's surface?
Answer choice: (A) dopler effect (B) resonant effect (C) centrifugal effect (D) coriolis effect<|im_end|>
<|im_start|>assistant
<think>
</think>
Global winds occur in belts around the globe. They are caused by unequal hea... | 6,496 |
<|im_start|>user
A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Answer Choices: (A) 31 5/8 years (B) 31 5/7 years (C) 31 9/7 years (D) 38... | 37,142 |
<|im_start|>user
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Answer Choices: (A) 2 (B) 2.2 (C) 3 (D) 3.5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30... | 42,599 |
<|im_start|>user
If X is 30% greater than Y, Z is 25% smaller than how much percent is X greater than Z?
Answer Choices: (A) 25% (B) 73 1/3% (C) 73% (D) 74% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
X = 130
Y = 100
Z = 75
X-Z/Z * 100 = 55/75 * 100 = 5500/75 % = 73 1/3% greater th... | 34,264 |
<|im_start|>user
Calculate the cost of b bags of grains given that the cost of c bags of said grain is d rupees?
Answer Choices: (A) Rs.(b/d*c) (B) Rs.(d*c) (C) Rs.(d/c) (D) Rs.(bd/c) (E) Rs.(b*c) <|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of c bags = Rs. d.
Cost of 1 bag = Rs. d/c
Cost of b bags = Rs... | 71,881 |
<|im_start|>user
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Answer Choices: (A) 3/4 (B) 1/3 (C) 7/19 (D) 8/21 (E) 9/21<|im_end|>
<|im_start|>assistant
<think>
</think>
7C1/21C1=7/21=1/3
The answer is B<|endoftext|> | 3,236 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every substance around you is made of one or more chemical elements, or types of atoms. Substances that are made of only one chemical element are elementary substances. Substances that are made of two or more chemical elemen... | 5,807 |
<|im_start|>user
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Answer Choices: (A) 5% (B) 3 1/2% (C) 4% (D) 5 1/2 % (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
150 = (750*5*R)/100
R = 4%
The answer is C<|endoftext|> | 76,423 |
<|im_start|>user
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $216 per week. How much does she earn in dollars per hour?
Answer Choices: (A) 11 (B) 10 (C) 9 (D) 8 (E) 6<|im_end|>
<|im_start|>assistant
<thin... | 53,423 |
<|im_start|>user
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 31.5 kg of zinc has been consumed in it?
Answer Choices: (A) 58 kg (B) 60 kg (C) 64 kg (D) 70 kg (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
... | 8,095 |
<|im_start|>user
The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 16 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Answer Choices: (A) 40.2 (B) 40.4 (C) 40.6 (D) 40.8 (E) None of the above<|im_end|>
<... | 67,675 |
<|im_start|>user
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required ... | 13,878 |
<|im_start|>user
How many valence electrons do neutral phosphorus atoms have?
Answer choice: (A) nine (B) three (C) five (D) four<|im_end|>
<|im_start|>assistant
<think>
</think>
The highest-numbered shell is the third shell, which has 2 electrons in the 3s subshell and 3 electrons in the 3p subshell. That gives a to... | 9,267 |
<|im_start|>user
What is the amount of time a molecule stays in a reservoir known as?
Answer choice: (A) known time (B) reservoir time (C) residence time (D) suitable time<|im_end|>
<|im_start|>assistant
<think>
</think>
Water can remain in a particular location for a long time. This is known as a reservoir . Reservo... | 10,674 |
<|im_start|>user
A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
Answer Choices: (A) 1 km/hr (B) 2 km/hr (C) 3 km/hr (D) 4 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 34,900 |
<|im_start|>user
Sam taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Answ... | 2,805 |
<|im_start|>user
The difference between the place values of 6 and 5 in the number 826533 is
Answer Choices: (A) 5500 (B) 4500 (C) 2500 (D) 6970 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
= (Place value of 6) – (place Value of 5)
= (6000 - 500)
= 5500
The answer is A<|endoftext|> | 16,515 |
<|im_start|>user
If a and b are positive integers of Y such that a/b=2.86, which of the following must be a divisor of a?
Answer Choices: (A) 10 (B) B.13 (C) 18 (D) 26 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
The prompt gives us a couple of facts to work with:
1) A and B are positive INTEGERS
2) A/B = ... | 5,813 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Humans have invented many ways to use natural resources. We use energy from natural resources in our daily activities, including cooking food, moving objects, and powering machines.
Some ways of using natural resources for e... | 3,229 |
<|im_start|>user
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Answer Choices: (A) 31 (B) 67 (C) 29 (D) 97 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score of the batsman in 20 match... | 82,941 |
<|im_start|>user
Three positive integers a, b, and c are such that their average is 40 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
Answer Choices: (A) 41 (B) 44 (C) 45 (D) 46 (E) 47<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given Data
3 positive integers
Average of... | 81,113 |
<|im_start|>user
Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 49.50, then what is the difference between the first and the third number?
Answer Choices: (A) 28 (B) 54 (C) 39.5 (D) 41.5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
6x,... | 96,231 |
<|im_start|>user
A man has Rs.700 in the denominations of five-rupee notes,ten-rupee notes and 20-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 20 (B) 70 (C) 60 (D) 90 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Let numb... | 63,516 |
<|im_start|>user
If the simple interest on $2000 increase by $40,when the time increase by 4 years. Find the rate percent per annum.
Answer Choices: (A) 1.2% (B) 0.5% (C) 0.7% (D) 0.9% (E) 0.3%<|im_end|>
<|im_start|>assistant
<think>
</think>
Applying the above formula, we have
40=2000*r*4/100
r=40*100/2000*4=0.5%.
T... | 61,307 |
<|im_start|>user
A man is 28 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) 26 years (B) 18 years (C) 20 years (D) 22 years (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the son's present age be x years .Then... | 23,026 |
<|im_start|>user
A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
Answer Choices: (A) 238 (B) 150 (C) 195 (D) 177 (E) 171<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 130)/25 = x/15... | 58,236 |
<|im_start|>user
there are two kind of professional in a company software & personal. If the personal are 15% of the total .a party is going .in a party if 50% of the total professional left and all are software then what is the ratio of the software professional left to total software professional.
Answer Choices: (A)... | 60,794 |
<|im_start|>user
Evaluate permutation equation
59P3
Answer Choices: (A) 195052 (B) 195053 (C) 195054 (D) 185054 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
nPr=n!/(n−r)!
59P3=59!/(56)!
=59∗58∗57∗56!/(56)!=195054
Option C
The answer is C<|endoftext|> | 31,015 |
<|im_start|>user
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $46,875, how much profit did the business make?
Answer Choices: (A) $55,000 (B) $75,000 (C) $95,000 (D) $115,000 (E... | 6,125 |
<|im_start|>user
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Answer Choices: (A) 338 (B) 286 (C) 266 (D) 500 (E) 128<|im_end|>
<|im_start|>assistant
<think>
</think>
(5/100) A = (15/100) B
A = 3B
A + B = 20... | 8,283 |
<|im_start|>user
A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 11 multiples of 14, how many multiples of 7 are there in Q?
Answer Choices: (A) 19 (B) 20 (C) 21 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Halfway between the multi... | 84,943 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true.
The month of July has more days than the month of June.
This is a fact. It can be proved by looking at a calendar and counting the number of days in each month.
An opinion i... | 4,078 |
<|im_start|>user
There are 6 books on a shelf, of which 2 are paperbacks and 4 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?
Answer Choices: (A) a) 40 (B) b) 14 (C) c) 50 (D) d) 55 (E) e) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
approach 1
at-le... | 8,000 |
<|im_start|>user
The average of 5 consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 15 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x, x+2, x+4, x+6, x+8
Then, (x+ x+2+ x+4+ x+6+ x+8)/5 = 61
x = 57
Requir... | 26,239 |
<|im_start|>user
What effect, related to weather forecasting, occurs not only for sound but for any wave when there is relative motion between the observer and the source?
Answer choice: (A) pulse (B) echo (C) precipitation (D) doppler<|im_end|>
<|im_start|>assistant
<think>
</think>
Mole-mole calculations are not th... | 11,313 |
<|im_start|>user
In how many ways can the letters of the word "SUN" be arranged?
Answer Choices: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
The total ways of arranging the letters = 3! = 6
The answer is B<|endoftext|> | 50,218 |
<|im_start|>user
A batsman makes a score of 84 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Answer Choices: (A) 19 (B) 29 (C) 36 (D) 49 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
let the average after 17th inning =x
Then average after 16th inning=(x-3)
... | 6,088 |
<|im_start|>user
What is the first digestive organ that food enters?
Answer choice: (A) stomach (B) mouth (C) tongue (D) esophagus<|im_end|>
<|im_start|>assistant
<think>
</think>
The mouth is the first digestive organ that food enters. The sight, smell, or taste of food stimulates the release of saliva and digestive... | 999 |
<|im_start|>user
An aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Answer Choices: (A) 520 (B) 288 (C) 820 (D) 740 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance = (240 x 5) = 480 km.
Speed = Distance/T... | 81,277 |
<|im_start|>user
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer Choices: (A) Rs.4538 (B) Rs.4518 (C) Rs.4518 (D... | 24,755 |
<|im_start|>user
Of the 5 distinguishable wires that lead into an apartment, 2 are for cable television service, and 3 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) ... | 94,385 |
<|im_start|>user
If x is real, find the maximum value of the expression -2x^2 + 3x + 5.
Answer Choices: (A) 2.145 (B) 6.125 (C) 8.725 (D) 11.885 (E) 13.485<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an equation of a downward facing parabola.
The maximum value is the top point of the parabola.
-2x^2+3x+5... | 65,155 |
<|im_start|>user
The process by which an organism develops from a single-celled zygote to a multi-cellular organism is complex and well regulated. the regulation occurs through signaling between cells and tissues and responses in the form of what?
Answer choice: (A) phenotype exchange (B) spontaneous mutation (C) diffe... | 7,355 |
<|im_start|>user
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Answer Choices: (A) 8 (B) 10 (C) 11 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 1... | 21,485 |
<|im_start|>user
Evaluate:56- 12*3*2 =?
Answer Choices: (A) 42 (B) 48 (C) 62 (D) 72 (E) 82<|im_end|>
<|im_start|>assistant
<think>
</think>
According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
56 - 12*3*2 = 56- 8 = 48
The answer is B<|endoftext... | 71,713 |
<|im_start|>user
A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 288 (B) 279 (C) 135 (D) 272 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 m/sec
Length of the train = speed * time = 15 * 9
= 135 m
The answer is C<... | 53,541 |
<|im_start|>user
Two sets of 7 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Answer Choices: (A) 24 (B) 17 (C) 28 (D) 42 (E) it cannot be determined from the information given.<... | 5,253 |
<|im_start|>user
Each child has 2 pencils and 13 Skittles. If there are 9 children, how many pencils are there in total?
Answer Choices: (A) 16 (B) 12 (C) 18 (D) 22 (E) 08<|im_end|>
<|im_start|>assistant
<think>
</think>
2*9=18.
The answer is C<|endoftext|> | 64,597 |
<|im_start|>user
Both alpha and beta decay change the number of what in an atom's nucleus?
Answer choice: (A) neutrons (B) Gamma decay (C) protons (D) electrons<|im_end|>
<|im_start|>assistant
<think>
</think>
Both alpha and beta decay change the number of protons in an atom’s nucleus, thereby changing the atom to a ... | 8,185 |
<|im_start|>user
A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not... | 64,950 |
<|im_start|>user
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Answer Choices: (A) Rs. 80 (B) Rs. 85 (C) Rs. 90 (D) Rs. 95 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
SP of 1m of cloth = 8925/85 = Rs. 105... | 52,532 |
<|im_start|>user
A child is playing with letter blocks (a playing cube in which an english letter is written). Before leaving the child to play on her own, her mon arranged 5 blocks into the word APPLE. How many different 6 letter words can the child make with these 5 blocks (Words need not have a meaning.She is just a... | 45,258 |
<|im_start|>user
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Answer Choices: (A) Rs.10595 (B) Rs.10529 (C) Rs.10598 (D) Rs.10508 (E) Rs.10500<|im_end... | 86,157 |
<|im_start|>user
Protein digestion begins in the stomach as pepsinogen in gastric juice is converted to pepsin, the enzyme that hydrolyzes this?
Answer choice: (A) disulfide bridges (B) peptide bonds (C) hydrogen bonds (D) ionic bonds<|im_end|>
<|im_start|>assistant
<think>
</think>
The digestion of carbohydrates beg... | 7,299 |
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