text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent T of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Answer Choices: (A) 9% (B) 11% (C) 15% (D) 25% (E) 90%<|im_end|>
<|im_start|>assistant
<think... | 70,948 |
<|im_start|>user
A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 2 choices and the last 3 have 4 choices.
Answer Choices: (A) 255 (B) 448 (C) 192 (D) 100 (E) 144<|im_end|>
<|im_start|>assi... | 52,224 |
<|im_start|>user
What happens to the temperature of matter as light is absorbed?
Answer choice: (A) it increases (B) it stays the same (C) it triples (D) it drops<|im_end|>
<|im_start|>assistant
<think>
</think>
http://www. chem. ufl. edu/~itl/2045/lectures/lec_d. html.
The answer is A<|endoftext|> | 466 |
<|im_start|>user
Sandy had $210 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Answer Choices: (A) $240 (B) $300 (C) $360 (D) $420 (E) $480<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the money Sandy took for shopping be x.
0.7x = 210
x = 300
The ans... | 54,516 |
<|im_start|>user
Anne and Beth will participate in a sack race (In a sack race, people hop to reach the finish line). In the time that Anne takes 3 hops, Beth takes 4 hops but the distance covered by Anne in 4 hops is equal to distance covered by Beth in 5 hops. What is the ratio of Anne’s speed: Beth’s speed?
Answer C... | 3,510 |
<|im_start|>user
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 17th highest price and the 24th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Answer Choices: (A) 38 (B) 39 (C) 40 (D) 41 (E) 42... | 36,621 |
<|im_start|>user
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight o... | 30,872 |
<|im_start|>user
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Answer Choices: (A) 288 (B) 260 (C) 245 (D) 267 (E) 208<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 ... | 64,888 |
<|im_start|>user
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Answer Choices: (A) 833 1/6 grams (B) 833 1/3 grams (C) 873 1/3 grams (D) 733 1/3 grams (E) 837 1/3 grams<|im_end|>
<|im_start|>assistant
<think... | 79,025 |
<|im_start|>user
a series of natural number 1+2+3+4+5+6+7+8+9+10 is divisibel by 11 so we has to find how many such series is possible upto n where n is less than 1000.
Answer Choices: (A) 90 (B) 99 (C) 180 (D) 96 (E) 92<|im_end|>
<|im_start|>assistant
<think>
</think>
the total multiple of 11 less then 1000 are 90 .... | 39,849 |
<|im_start|>user
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?
Answer Choices: (A) 4% (B) 4.04% (C) 4.14% (D) 5% (E) 5.13%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 ... | 2,424 |
<|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.45 (B) Rs.78 (C) Rs.44 (D) Rs.40 (E) Rs.42<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Ï€ (152 - 132) = 176
176 * 1/4 = Rs.44
The answer i... | 55,567 |
<|im_start|>user
If a number p is prime, and 2p+3 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start... | 24,831 |
<|im_start|>user
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1032 in t... | 90,897 |
<|im_start|>user
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Answer Choices: (A) 1245 m^2 (B) 1345 m^2 (C) 2520 m^2 (D) 2560 m^2 (E) 2678 m^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol... | 8,532 |
<|im_start|>user
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
45 workers * 8 hours / 30 meters = x * 6 / 30
x =... | 55,650 |
<|im_start|>user
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Answer Choices: (A) b=9,t=1 (B) b=7,t=3 (C) b=6,t=2 (D) b=2,t=5 (E) b=6,t=4<|i... | 15,786 |
<|im_start|>user
A class has three girls and three boys. These students line up at random, one after another.
What is the probability that no boy is right next to another boy, and no girl is right next to
another girl?
Answer Choices: (A) 1 /20 (B) 1 /12 (C) 1 /10 (D) 3 /10 (E) 1 /2<|im_end|>
<|im_start|>assistant
<thi... | 34,787 |
<|im_start|>user
A dog takes 5 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Answer Choices: (A) 25 : 10 (B) 25 : 8 (C) 25 : 9 (D) 8 : 25 (E) 24 : 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Dog... | 15,750 |
<|im_start|>user
In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course?
Answer Choices: (A) 1 min 30 sec (B) 1 min (C) 1 min 10 sec (D) 1min 40 sec (E) 1min 50 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
2400*20/400=120
120-20=100sec=1 min 40 sec.
The answer is D<|endoftext|> | 45,480 |
<|im_start|>user
If the cost of 8kg of rice is $15. What would be the cost of 10 kg of rice?
Answer Choices: (A) 15.4 (B) 18.75 (C) 20.25 (D) 21.56 (E) 22.0<|im_end|>
<|im_start|>assistant
<think>
</think>
The cost of one kg of rice = 15/8=1.875
The cost of 10kg of rice = 1.875x10= $ 18.75
The answer is B<|endoftext|... | 36,426 |
<|im_start|>user
The average mark of the students of a class in a particular exam is 90. If 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam?
Answer Choices: (A) 10 (B) 40 (C) 20 (D) 30 (E) 25<|im_end|>
<|im_start... | 86,013 |
<|im_start|>user
Imagine an analog clock set to 12 o'clock. Note that the hour and minute hands overlap. How many times each day do both the hour and minute hands overlap? How would you determine the exact times of the day that this occurs?
Answer Choices: (A) 11 (B) 12 (C) 22 (D) 24 (E) 44<|im_end|>
<|im_start|>assist... | 65,115 |
<|im_start|>user
There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Answer Choices: (A) 776 (B) 1344 (C) 299 (D) 257 (E) 125<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 56% L = 44%
56% -... | 18,904 |
<|im_start|>user
Four of the following five are alike in a certain way and so form a group. which one does not belong to that group?
Answer Choices: (A) Tooth (B) Chin (C) Nose (D) Eye (E) Hand<|im_end|>
<|im_start|>assistant
<think>
</think>
All others have two vowels each
The answer is B<|endoftext|> | 25,973 |
<|im_start|>user
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B the present age of B is
Answer Choices: (A) 37 (B) 38 (C) 39 (D) 40 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
let present age of A be a and B be b
a+10 = 2*(b-10)
=> 2b-a = 30 ......(i)
a = b+9
=... | 59,997 |
<|im_start|>user
In a public show 45 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Answer Choices: (A) 330 (B) 110 (C) 120 (D) 140 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
75 % of 600
= 45/100 × 600
= 270
Therefore, the number of vacant seats = 600 - 270 ... | 96,953 |
<|im_start|>user
If 'b' is a positive integer exactly divisible by 5 or 7 but not divisible by 11.What could possibly be the value of 'b' ?
Answer Choices: (A) 55 (B) 35 (C) 77 (D) 110 (E) 165<|im_end|>
<|im_start|>assistant
<think>
</think>
55 and 77 are both divisible by 5 and 7 but also by 11. so they are not the ... | 58,158 |
<|im_start|>user
You roll two six sided dices together.
Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?
Answer Choices: (A) 2/23 (B) 1/33 (C) 1/36 (D) 3/54 (E) 6/35<|im_end|>
<|im_start|>assistant
<think>
</think>
C
1/36
The number of possibilities fo... | 5,760 |
<|im_start|>user
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Answer Choices: (A) 14 km/hr (B) 13 km/hr (C) 12 km/hr (D) 11 km/hr (E) 10 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let speed of the boat in still water... | 78,945 |
<|im_start|>user
What female flower structure, which is part of the pistil, receives the pollen grains and passes them to the ovary?
Answer choice: (A) sepal (B) stigma (C) style (D) ovary<|im_end|>
<|im_start|>assistant
<think>
</think>
Flowers are the reproductive organs of plants. Each pea plant flower has both ma... | 4,907 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Answer Choices: (A) 1/455 (B) 1/487 (C) 1/429 (D) 1/876 (E) 1/429<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there are th... | 4,851 |
<|im_start|>user
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Answer Choices: (A) 18 (B) 19 (C) 20 (D) 21 (E) 46<|im_end|>
<|im_start|>assistant
<think>
</think>
l2 + b2 = 41.
Also, lb = 20.
(l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81
(l + b) = 9.
Perimeter = 2... | 39,230 |
<|im_start|>user
16 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Answer Choices: (A) 32 (B) 87 (C) 30 (D) 99 (E) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
3W = 2M
16M ------ 21 * 8 hours
21 W --... | 5,724 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 1,435 |
<|im_start|>user
Four of the following five parts (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Answer Choices: (A) 30 × 14 ÷ 7 × 5 (B) 10 3 – 100 × 7 (C) 5√3600 (D) 450 ÷ 50 × 50 – 5 × 30 (E) 10 × 3 + 120 × 2<|im_end|>
<|im_start|>assist... | 63,544 |
<|im_start|>user
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Answer Choices: (A) 4 (B) 8 (C) 6 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number... | 76,400 |
<|im_start|>user
Body plans do provide a succinct way to compare and contrast what?
Answer choice: (A) key animal features (B) degenerative animal features (C) missing animal features (D) distinctive animal features<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,832 |
<|im_start|>user
Two numbers have a H.C.F of 11 and a product of two numbers is 1991. Find the L.C.M of the two numbers?
Answer Choices: (A) 140 (B) 181 (C) 160 (D) 170 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M of two numbers is given by
(Product of the two numbers) / (H.C.F of the two numbers) =... | 72,014 |
<|im_start|>user
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant... | 41,319 |
<|im_start|>user
Examples of what process are evident in many biological systems because cells are surrounded by semipermeable membranes?
Answer choice: (A) reproduction (B) photosynthesis (C) osmosis (D) apoptosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Examples of osmosis are evident in many biological sys... | 7,486 |
<|im_start|>user
The speed of a boat in still water in 42 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 44 minutes is:
Answer Choices: (A) 86.6 km (B) 46.6 km (C) 33 km (D) 35.6 km (E) 26.6 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = (42 + 3) = 45 kmph
Time ... | 28,046 |
<|im_start|>user
A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour, is 120 ft. long?
Answer Choices: (A) 200 feet (B) 220 feet (C) 510 feet (D) 400 feet (E) 700 feet<|im_end|>
<|im_start|>assistant
<think>
</think>
A
200 feet
The answer is A<|endofte... | 68,688 |
<|im_start|>user
What is used as a vector for gene insertion in ex vivo gene therapy?
Answer choice: (A) typhus (B) penicillin (C) bacteria (D) virus<|im_end|>
<|im_start|>assistant
<think>
</think>
In ex vivo gene therapy, done outside the body, cells are removed from the patient and the proper gene is inserted usin... | 7,043 |
<|im_start|>user
Out of 5 consonants and 3 vowels, how many words of 4 consonants and 2 vowels can be formed?
Answer Choices: (A) 21000 (B) 10500 (C) 25200 (D) 10800 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Number of ways of selecting (4 consonants out of 5) and (2 vowels out of 3)
... | 89,969 |
<|im_start|>user
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Answer Choices: (A) 11/14 (B) 13/18... | 82,949 |
<|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 and always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An imperative sentence makes... | 673 |
<|im_start|>user
How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Answer Choices: (A) 27 (B) 25 (C) 24 (D) 20 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17... | 96,011 |
<|im_start|>user
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) 22 (B) 80 (C) 40 (D) 77 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
The answer is C<|endoftext|> | 65,976 |
<|im_start|>user
The probability that A can shoot a target two out of two times is 0.25. What is the probability that the target will be missed by A immediately after such two shots?
Answer Choices: (A) 0.25 (B) 0.5 (C) 0.7 (D) 0.4 (E) 0.75<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose there are total 'x' ... | 24,062 |
<|im_start|>user
96% of 5/8 =
Answer Choices: (A) 0.2 (B) 0.5 (C) 0.6 (D) 0.75 (E) 1.0<|im_end|>
<|im_start|>assistant
<think>
</think>
Should be simple.
0.96*5/8 = 4.8/8 = 0.6
Correct Option : C
The answer is C<|endoftext|> | 72,189 |
<|im_start|>user
hree seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Answer Choices: (A) 238 (B) 129 (C) 126 (D) 197 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3/7 x – 40/100 x = 12
x = 35 * 12
35 * 12 * 60/100 = 252/2 = 126
The answer is C<|e... | 31,142 |
<|im_start|>user
A triangle has a perimeter 15. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Answer Choices: (A) 7 (B) 6 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
The SHORTER sides have integral lengths equal t... | 33,790 |
<|im_start|>user
If x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Try each answer choices.
For A: 5 + 3 + xy = 19; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)
For B: 5 ... | 65,762 |
<|im_start|>user
Two pipes P and Q can fill a cistern in 20 and 15 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer will the cistern take to fill?
Answer Choices: (A) 11 1/7 (B) 10 1/2 (C) 11 1/3 (D) 11 1/2 (E) 11 1/1<|im_end|>
<|im_start|>assistant
<t... | 29,998 |
<|im_start|>user
Sandy purchased 20 dozen toys at the rate of $360 per dozen. Sandy sold each toy at the rate of $30.60. What was the percentage profit?
Answer Choices: (A) 1% (B) 2% (C) 3% (D) 4% (E) 5%<|im_end|>
<|im_start|>assistant
<think>
</think>
A dozen toys cost $360, so each toy cost $30.
selling price / cos... | 74,801 |
<|im_start|>user
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 50 litres of tomato juice?
Answer Choices: (A) 2.8 liters. (B) 2.5 liters. (C) 8.5 liters. (D) 6.25 liters. (E) 2.1 liters... | 8,249 |
<|im_start|>user
Madhav ranks seventeenth in a class of thirtyone. What is his rank from the last?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
(Rank from top) + (Rank from bottom) - 1 = Total students
17 + x - 1 = 31
x = 15
The answer is C<|endoftext|> | 47,540 |
<|im_start|>user
If A is 25% greater than B then how much percentage is B smaller than A?
Answer Choices: (A) 10% (B) 20% (C) 30% (D) 40% (E) 45%<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 125
B = 100
A-B/A × 100 = 25/125 × 100 = 20 % smaller smaller than A
B)
The answer is B<|endoftext|> | 86,140 |
<|im_start|>user
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) 19 (B) 19.7 (C) 21.1 (D) 21.7 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cost... | 8,302 |
<|im_start|>user
If Packard reads at a constant rate of 4 pages every 5 minutes, how many seconds will it take him to read N pages?
Answer Choices: (A) 75 (B) 2N (C) 5/2*N (D) 24N (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Packard would read 1 page in 5/4 min
Packard would read N page in (5/4)*N min i.e... | 47,145 |
<|im_start|>user
Siddharth wants to borrow Rs.5000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Answer Choices: (A) s.21.60 (B) s.21.68 (C) s.21.18 (D) s.21.98 (E) s.18<|im_end|>
<|im_start|>assistant
<think... | 67,652 |
<|im_start|>user
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Answer Choices: (A) 4/16 (B) 4/15 (C) 4/19 (D) 4/13 (E) 4/11<|im_end|>
<|im_start|>assistant
<think>
</think>
P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.
P(SᴜK) = 13/5... | 73,246 |
<|im_start|>user
Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 m9nutes,how many times do they toll together ?
Answer Choices: (A) 4 (B) 10 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
L.C.M. of 2,4,6,8,10,12 is 120.
So, the... | 96,343 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are more than 100 different chemical elements, or types of atoms. Chemical elements make up all of the substances around you.
A substance may be composed of one chemical element or multiple chemical elements. Substance... | 2,193 |
<|im_start|>user
A space shuttle orbits the earth at about 6 kilometers per second. This speed is equal to how many kilometers per hour?
Answer Choices: (A) 480 (B) 2,880 (C) 21,600 (D) 28,800 (E) 48,000<|im_end|>
<|im_start|>assistant
<think>
</think>
Seconds in 1 hours:
60s in 1 min
60 min in 1 hr
60*60=3600 s... | 23,948 |
<|im_start|>user
Two cars are driving toward each other. The first car is traveling at a speed of 75 km/h, which is 25% slower than the second car's speed. If the distance between the cars is 1050 km, how many hours will it take until the two cars meet?
Answer Choices: (A) 4 (B) 4.5 (C) 5 (D) 5.5 (E) 6<|im_end|>
<|im_s... | 1,502 |
<|im_start|>user
Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 15 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Answer Choices: (A) 36 (B) 12 (C) 9 (D) 45/2 (E) 3<|im_end|>
<|im_start|>assistant
<think>... | 30,172 |
<|im_start|>user
A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 380 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Answer Choices: (A) 90 (B) 110 (C) 1... | 48,926 |
<|im_start|>user
What is the difference between the compound interest on Rs.12000 at 22% p.a. for one year when compounded yearly and half yearly?
Answer Choices: (A) 399 (B) 383 (C) 120.2 (D) 288.2 (E) 145.2<|im_end|>
<|im_start|>assistant
<think>
</think>
When compounded annually, interest
= 12000[1 + 22/100]1 - 12... | 88,383 |
<|im_start|>user
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Answer Choices: (A) 120 (B) 116 (C) 108 (D) 107 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
# of three-digit integers greater than 600 ... | 78,198 |
<|im_start|>user
What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips?
Answer Choices: (A) 5/8 (B) 7/8 (C) 11/16 (D) 13/16 (E) 27/32<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of possible outcomes is 2^5=32.
0 heads: There is 1 way to have all... | 590 |
<|im_start|>user
Each of the integers from 3 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Answer Choi... | 16,968 |
<|im_start|>user
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, ... | 88,244 |
<|im_start|>user
Two pipes can fill a tank in 12 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Answer Choices: (A) 5.5 Hours (B) 7.5 Hours (C) 8.5 Hours (D) 9.5 Hours (E) 6.5 Hours<|im_end|>
<|im_start|>assista... | 25,195 |
<|im_start|>user
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
let no. of buffaloes be x & no. of ducks be y
buffaloes h... | 88,022 |
<|im_start|>user
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is
Answer Choices: (A) 12% (B) 13% (C) 14% (D) 15% (E) 16%<|im_end|>
<|im_start|>assistant
<thi... | 47,572 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 3,689 |
<|im_start|>user
Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) ... | 49,742 |
<|im_start|>user
If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 100% of j ?
Answer Choices: (A) 0.35 (B) 3.5 (C) 35 (D) 350 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
IMO answer should be 350...
consider j=... | 69,876 |
<|im_start|>user
Some atoms are more stable when they gain or lose an electron and form what?
Answer choice: (A) molecules (B) electrons (C) protons (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Ions and Ionic Bonds Some atoms are more stable when they gain or lose an electron (or possibly two) and form i... | 3,722 |
<|im_start|>user
What are the antibodies an animal produces after exposure to a microbial antigen?
Answer choice: (A) isolated (B) monoclonal (C) polyclonal (D) chimeric<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 7,444 |
<|im_start|>user
John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?
Answer Choices: (A) 50 (B) 65 (C) 70 (D) 75 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+x1+...x14)/15 = 40
50
Option A
The answer is A<|endoftext|> | 54,983 |
<|im_start|>user
A 220 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Answer Choices: (A) 280 (B) 270 (C) 260 (D) 250 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = ... | 60,582 |
<|im_start|>user
A pupil's marks were wrongly entered as 83 instead of 70. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Answer Choices: (A) 18 (B) 82 (C) 26 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Let there be x pupils in the class.
Total i... | 43,066 |
<|im_start|>user
which number need to add to 859622 to get a number exactly divisible by 456?
Answer Choices: (A) 454365 (B) 412343 (C) 546573 (D) 567683 (E) 859622<|im_end|>
<|im_start|>assistant
<think>
</think>
Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the n... | 55,794 |
<|im_start|>user
Two pipes can fill a tank in 12 minutes and 20 minutes respectively. Both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes. For how many minutes was first pipe open?
Answer Choices: (A) 8 minutes (B) 6 minutes (C) 7 minutes (D) 10 minutes... | 86,344 |
<|im_start|>user
If m and n are whole numbers such that mn = 169, then the value of (m – 1)^(n + 1) is:
Answer Choices: (A) 1 (B) 13 (C) 169 (D) 1728 (E) 1628<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, m = 13 and n = 2.
Therefore, (m – 1) n + 1 = (13 – 1)3 = 12³ = 1728.
The answer is D<|endoftext|> | 64,616 |
<|im_start|>user
a boy perform 5 times a reaction and his reading are 2,2.1,2,2.2 but unfortunately
5th reading clearly not visible because a drop of chemical fall onto it.but luckily he
have mean of all reading which is 2.please help him in finding 5th reading.
Answer Choices: (A) 2 (B) 1.7 (C) 1.9 (D) 1.8 (E) 2.1<|im... | 19,565 |
<|im_start|>user
66.2 is what percent of 1000?
Answer Choices: (A) 6.62 (B) 66.2 (C) 662 (D) 0.662 (E) 0.0662<|im_end|>
<|im_start|>assistant
<think>
</think>
We assume that 1000 is 100%
assume 'x' is value we looking for
here,
1000 = 100% and
x% = 66.2
therefore,
100/x = 1000/66.2
100/x = 15.105
x = 6.62
A
The answe... | 22,433 |
<|im_start|>user
Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many T hours will it take if Jim types the report and Mary edits it immediately after he is done?
Answer Choices: (A) 41.4 (B) 34.1 (C) 13.... | 43,451 |
<|im_start|>user
The sum of the heights of two high-rises is x feet. If the first high rise is 36 feet taller than the second, how tall will the second high rise be after they add an antenna with a height of z feet to the top?
Answer Choices: (A) (x+z) /2 + 36 (B) 2x−(37+z) (C) (x−36) /2 + z (D) x/2 - 37 + z (E) (2x−3... | 42,723 |
<|im_start|>user
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Answer Choices: (A) Rs. 4991 (B) Rs. 5991 (C) Rs. 6001 (D) Rs. 6991 (E) Rs. 7991<|im_end|>
<|im_start|>assistan... | 11,356 |
<|im_start|>user
John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
Answer Choices: (A) $62 (B) $92 (C) $32 (D) $22 (E) $82<|im_end|>
<|im_start|>assistant
<think>
</th... | 3,161 |
<|im_start|>user
A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,600 to 3,000 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Answer Choices: (A) 110 (B) 128 (C) 115 (D) 130 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
to get maximum veh... | 48,237 |
<|im_start|>user
The forth proportional to 6,8,15 is?
Answer Choices: (A) 15 (B) 12 (C) 18 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the fourth proportional to 6,8,15 be x
then 6:8::15:x
6x = 8*15
x = 20
The answer is D<|endoftext|> | 51,326 |
<|im_start|>user
Which of these lines in the xy-plane does not contain any point with two negative coordinates?
Answer Choices: (A) y = 3x (B) y = x + 7 (C) y = x^2 - 4 (D) y = x^3 + 3x (E) y = x^6<|im_end|>
<|im_start|>assistant
<think>
</think>
x^6 is 0 when x is 0 and positive for all other values of x.
The answer... | 88,596 |
<|im_start|>user
If 10% of x = 20% of y, then x:y is equal to?
Answer Choices: (A) 2:6 (B) 2:1 (C) 7:1 (D) 2:8 (E) 2:2<|im_end|>
<|im_start|>assistant
<think>
</think>
10% of x = 20% of y
10x/100 = 20y/100 => x/10 = y/5
x/y = 10/5 = 2/1
x:y = 2:1.
The answer is B<|endoftext|> | 22,338 |
<|im_start|>user
A tree increases annually by 1/8th of its height. By how much will it increse after 2 years, if it stands today 64 cm high?
Answer Choices: (A) 72 cm (B) 74 cm (C) 75 cm (D) 81 cm (E) 83 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase % = (1/8 x 100)%
= 12 1/2 % = 25/2 %
height after 2 y... | 75,746 |
<|im_start|>user
At a certain restaurant, the price of a sandwich is $ 4.00 more than the price of a cup of coffee. If the price of a sandwich and a cup of coffee is $ 7.35, including a sales tax of 5%, what is the price of a cup of coffee, EXCLUDING the sales tax?
Answer Choices: (A) $ 1.50 (B) $ 3.00 (C) $ 4.00 (D) $... | 87,809 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.