text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
After a mathematics exam, 20 percent of the students reported that they didn't study, while 20 percent of the students who didn't study refused to admit they hadn't studied. What percent of the students didn't study?
Answer Choices: (A) 15% (B) 50% (C) 35% (D) 20% (E) 25%<|im_end|>
<|im_start|>assistan... | 42,178 |
<|im_start|>user
A plant manager must assign 6 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
Answer Choices: (A) 24 (B) 27 (C) 33 (D) 45 (E) 54<|im_end|>
<|im... | 79,109 |
<|im_start|>user
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Answer Choices: (A) 59kg (B) 58.85kg (C) 59.75kg (D) 60kg (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 51,295 |
<|im_start|>user
Strong, stable bonds between carbon atoms produce complex molecules containing chains, branches, and rings; the chemistry of these compounds is called what?
Answer choice: (A) animal chemistry (B) inorganic chemistry (C) nuclear chemistry (D) organic chemistry<|im_end|>
<|im_start|>assistant
<think>
<... | 8,397 |
<|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 it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 4,567 |
<|im_start|>user
What kind of ions are named by adding the suffix -ide to the end?
Answer choice: (A) similar ions (B) negative ions (C) particular ions (D) positive ions<|im_end|>
<|im_start|>assistant
<think>
</think>
By gaining an electron, the chlorine atom becomes a chloride ion. It now has more electrons than p... | 5,910 |
<|im_start|>user
Felix earned 50% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Answer Choices: (A) 25% (B) 9.09% (C) 14% (D) 22.73% (E) It cannot be determined from the information given.<|im_end|>
<|im_st... | 29,381 |
<|im_start|>user
what is the next no. 4 12 84
Answer Choices: (A) 632 (B) 732 (C) 832 (D) 850 (E) 902<|im_end|>
<|im_start|>assistant
<think>
</think>
3^0 + 3 = 4
3^2 + 3 = 12
3^4 + 3 = 84
3^6 + 3 = 732
The answer is B<|endoftext|> | 38,641 |
<|im_start|>user
The triplicate ratio of 1:5 is?
Answer Choices: (A) 1:7 (B) 1:8 (C) 1:3 (D) 1:1 (E) 1:125<|im_end|>
<|im_start|>assistant
<think>
</think>
1^3: 5^3 = 1:125
The answer is E<|endoftext|> | 56,240 |
<|im_start|>user
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Answer Choices: (A) 59 (B) 57 (C) 59.5 (D) 58 (E) 55.5<|im_end|>
<|im_start|>assistan... | 5,951 |
<|im_start|>user
Choose any 4 desserts from a menu of 10?
Answer Choices: (A) 120 (B) 140 (C) 180 (D) 210 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
10c4 = 210
The answer is D<|endoftext|> | 50,202 |
<|im_start|>user
What decimal fraction is 40 ml of a litre ?
Answer Choices: (A) .4 (B) .04 (C) .05 (D) 0.04 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Required fraction = 40/1000
= 4/100
= .04
Correct Option: B
The answer is B<|endoftext|> | 31,325 |
<|im_start|>user
If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?
Answer Choices: (A) 6 (B) 4 (C) 8 (D) 8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
80 = 2 x 5 x 8
Since 653xy is divisible by 2 and 5 both, so y = 0.
Now, 653x is divisib... | 49,421 |
<|im_start|>user
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become four times at the same rate?
Answer Choices: (A) 12 ½ years (B) 62 ½ years (C) 8 ½ years (D) 72 ½ years (E) 12 ½ years<|im_end|>
<|im_start|>assistant
<think>
</think>
100 ---- 200 ---- 5
200 ---- 5... | 51,597 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 963 |
<|im_start|>user
A clock shows the time as 10 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
Answer Choices: (A) 45 minutes (B) 55 minutes (C) 35 minutes (D) 25 minutes (E) 40 minutes<|im_end|>
<|im_start|>assistant
<think>
</think>
there are 8 hours in between 10 ... | 43,341 |
<|im_start|>user
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Answer Choices: (A) 1769 (B) 1764 (C) 1768 (D) 1762 (E) 1761<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P.W. be Rs. x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
x x 16 x 9 x 1 = 1... | 34,604 |
<|im_start|>user
3 persons are standing at the middle of edges of a Triangle.All the 3 persons starts moving at same time with same speed in random direction
What is the probability of meeting atleast 2 persons?
Answer Choices: (A) 1/4 (B) 2/4 (C) 3/4 (D) 5/4 (E) 6/4<|im_end|>
<|im_start|>assistant
<think>
</think>
n... | 32,825 |
<|im_start|>user
Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first
Answer Choices: (A) 8% (B) 9% (C) 10% (D) 11% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the third number is x.
then first number = (100-30)%... | 82 |
<|im_start|>user
What number has a 15:1 ratio to the number 10?
Answer Choices: (A) 130 (B) 100 (C) 200 (D) 150 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
15:1 = x: 10
x = 10*15
x=150
The answer is D<|endoftext|> | 72,933 |
<|im_start|>user
Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many pos... | 88,300 |
<|im_start|>user
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Answer Choices: (A) 1245 (B) 4175 (C) 5412 (D) 4712 (E) 6400<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of bricks = Volume of the wall/Volume of 1 brick = (800 x 600 x 22.5) /(... | 10,138 |
<|im_start|>user
There are two cars. One is 300 miles north of the other. Simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour. How many miles apart are the cars after 5 hours?
Answer Choices: (A) 300 (B) 360 (C) 400 (D) 450 (E) 500<|im_e... | 16,134 |
<|im_start|>user
In how many ways the letters of the word RAIMBON be arranged?
Answer Choices: (A) 6468 (B) 9667 (C) 5040 (D) 9865 (E) 4687<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways of arranging the letters = 7! = 5040 ways.
C)
The answer is C<|endoftext|> | 55,722 |
<|im_start|>user
A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Answer Choices: (A) 127 (B) 120 (C) 882 (D) 272 (E) 323<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to select two men and three women
= 4C₂ * ⁶C₃
= (4*3 )/(2... | 432 |
<|im_start|>user
For one toss of a certain coin, the probability that the outcome is heads is 0.3. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Answer Choices: (A) (0.3) ^5 (B) 2(0.3) ^4 (C) 3(0.3) ^4 (D) 4(0.3) ^4(0.7) + (0.3) ^5 (E) 5(0.3)... | 22,474 |
<|im_start|>user
A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Answer Choices: (A) 2 2/3 (B) 2 2/8 (C) 2 2/0 (D) 2 2/2 (E) 2 2/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by all three of them in one da... | 41,649 |
<|im_start|>user
A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article
Answer Choices: (A) Rs.500 (B) Rs.600 (C) Rs.650 (D) Rs.760 (E) Rs.800<|im_end|>
<|im_start|>assistant
<think>
</think>
First selling price = 110 % -----> X Rupees
=sold at for R... | 68,184 |
<|im_start|>user
John’s grade was in the 80th percentile out of 70 grades in her class. In another class of 50 students there were 20 grades higher than John’s. If nobody had John’s grade, then John was what percentile of the two classes combined?
Answer Choices: (A) 80 (B) 75 (C) 72 (D) 65 (E) 60<|im_end|>
<|im_start|... | 81,472 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 120 m (B) 240 m (C) 300 m (D) 200 m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 13,749 |
<|im_start|>user
The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
Answer Choices: (A) 16 years (B) 76 years (C) 14 years (D) 19 years (E) 15 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the ages of 14 students
=... | 89,948 |
<|im_start|>user
Two numbers have a H.C.F of 14 and a product of two numbers is 2562. Find the L.C.M of the two numbers?
Answer Choices: (A) 140 (B) 150 (C) 160 (D) 170 (E) 183<|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) =... | 64,711 |
<|im_start|>user
Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?
Answer Choices: (A) 0.5% (B) 1% (C) 5% (D) 50% (E) 500%<|im_end|>
<|im_start|>assistant
<think>
</think>
x percent can be written as x/100
So, we get: (30/100)(40/100)(50) = (60/100)(x/100)(200)
Simplify all fr... | 87,387 |
<|im_start|>user
If 8 men do a work in 80 days, in how many days will 20 men do it?
Answer Choices: (A) 18 days (B) 32 days (C) 42 days (D) 48 days (E) 44 days<|im_end|>
<|im_start|>assistant
<think>
</think>
8 * 80 = 20 * x
x = 32 days
The answer is B<|endoftext|> | 55,762 |
<|im_start|>user
In humans, the first sites used for energy storage are liver and what else?
Answer choice: (A) lungs (B) reproductive organs (C) skin cells (D) muscle cells<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 7,161 |
<|im_start|>user
Which type of cell can carry out more functions, eukaryotic cells or prokaryotic cells?
Answer choice: (A) chromosomal cells (B) eukaryotic cells (C) Prokaryotic Cells (D) both<|im_end|>
<|im_start|>assistant
<think>
</think>
In addition to having a plasma membrane, cytoplasm, a nucleus and ribosomes... | 5,374 |
<|im_start|>user
In a T.V. factory, an average of 60 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily average for the month to 58 sets per day . The average production per day for day last 5 days is ?
Answer Choices: (A) 45 (B) 48 (C) 52 (D) 5... | 73,735 |
<|im_start|>user
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of t feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
Answer Choices: (A) 5,280(x/t) (B) 5,280(y/x) (C) 5,280(xy) (D) 5,280/(xy) (E... | 32,782 |
<|im_start|>user
a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets) ?
Answer Choices: (A) 3 (B) ... | 59,705 |
<|im_start|>user
If u and v are positive integers, and 3 is not a factor of v, then v may be which of the following?
Answer Choices: (A) (u−1) ·u·(u+1) (B) (u−3) ·(u−1) ·(u+1) (C) (u−2) ·u·(u+2) (D) (u−1) ·u·(u+2) (E) (u−3) ·(u+1) ·(u+2) <|im_end|>
<|im_start|>assistant
<think>
</think>
Plugged in values :
let u=... | 92,958 |
<|im_start|>user
What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Answer Choices: (A) 60. (B) 85. (C) 125. (D) 225. (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of one side= 15 (20-5)
Since, its a squa... | 15,578 |
<|im_start|>user
469157 * 9999
Answer Choices: (A) 1691100843 (B) 4591100843 (C) 4691100843 (D) 3691100843 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
469157 * (10000 - 1)
= 4691570000 - 469157
= 4691100843
Option C
The answer is C<|endoftext|> | 89,472 |
<|im_start|>user
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
Answer Choices: (A) 25 (B) 37 (C) 54 (D) 65 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</... | 46,908 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
When you are using metric units, length can be written with units of millimeters, centimeters, me... | 3,145 |
<|im_start|>user
What should be added to 4529 so that it may become a perfect square?
Answer Choices: (A) 94 (B) 95 (C) 96 (D) 97 (E) 98<|im_end|>
<|im_start|>assistant
<think>
</think>
68x68=4624
4624-4529 = 95
If added to 95 get perfect square
The answer is B<|endoftext|> | 82,447 |
<|im_start|>user
At a special sale, 8 tickets can be purchased for the price of 6 tickets. If 8 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 8 tickets?
Answer Choices: (A) 25% (B) 33.3% (C) 40% (D) 60% (E) 66.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 28,289 |
<|im_start|>user
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
Answer Choices: (A) 13 (B) 31 (C) 49 (D) 57 (E) 67<|im_end|>
<|im_start|>assistant
<think>
</think>
If a number is divisible by 9, the sum of its digits must be divisible by 9... | 28,182 |
<|im_start|>user
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
Answer Choices: (A) 29 (B) 23 (C) 73 (D) 76 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Average after 11 innings = 36
Required number of... | 87,853 |
<|im_start|>user
Look at this series: 2, 4, 8, 16, ... What number should come next?
Answer Choices: (A) 128 (B) 64 (C) 32 (D) 24 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: This is a simple multiplication series; each number is multiple by 2 to the previous number. In other terms to say, the... | 60,728 |
<|im_start|>user
On what dates of April,2001 did Wednesday fall ?
Answer Choices: (A) 1st,8th,15th,22nd,29th (B) 2nd,9th,16th,23rd,30th (C) 3rd,10th,17th,24th (D) 4th,11th,18th,25th (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
We shall find the day on 1st April,2001.
1st April,2001 =(20... | 34,101 |
<|im_start|>user
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 150, the runs scored by B are?
A. 15 B. 18
Answer Choices: (A) 22 (B) 18 (C) 99 (D) 36 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B... | 91,453 |
<|im_start|>user
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 6 buckles and 6 buttons?
Answer Choices: (A) 7/16. (B) 4/9. (C) 6/11. (D) 5/9... | 38,752 |
<|im_start|>user
Pipe A can fill a tank in 9 hours, pipe B in 18 hours and pipe C in 54 hours. If all the pipes are open,in how many hours will the tank be filled ?
Answer Choices: (A) 5.1 (B) 5.4 (C) 5 (D) 5.2 (E) 5.5<|im_end|>
<|im_start|>assistant
<think>
</think>
1/9+1/18+1/54=10/54=1/5.4. so 5.4 hrs
The answer i... | 44,882 |
<|im_start|>user
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 25 sec (B) 28 sec (C) 30 sec (D) 35 sec (E) 45 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Let leng... | 69,459 |
<|im_start|>user
Find the value of y from (12)^2 x 6^3 ÷ 432 = y?
Answer Choices: (A) 2134 (B) 2234 (C) 2540 (D) 2560 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
72
E
The answer is E<|endoftext|> | 64,307 |
<|im_start|>user
A cube of side 8 meter length is cut into small cubes of side 16 cm each. How many such small cubes can be obtained?
Answer Choices: (A) 10780 (B) 127600 (C) 125000 (D) 152000 (E) 10000<|im_end|>
<|im_start|>assistant
<think>
</think>
Along one edge, the number of small cubes that can be cut
= 800/16... | 13,000 |
<|im_start|>user
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 10 sec. What is the length of the fast train?
Answer Choices: (A) 55 7/6 m (B) 55 7/4 m (C) 55 7/2 m (D) 55 7/9 m (E) 55 5/9 m<|im_end|>
<|im_start|>assi... | 94,970 |
<|im_start|>user
The fourth proportional to 12, 15 and 20 is?
Answer Choices: (A) 21 (B) 66 (C) 25 (D) 99 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
(15*20)/12 = 25
The answer is C<|endoftext|> | 1,184 |
<|im_start|>user
here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 84 and 92 respectively. the average of the whole class is 86, what is the value of x?
Answer Choices: (A) a) 6 (B) b) 4 (C) c) 8 (D) d) 10 (... | 18,056 |
<|im_start|>user
If x = y+4.5x and y = x+18, what is the value of x/y ?
Answer Choices: (A) -6/5. (B) -7/20. (C) 1/4. (D) -2/7. (E) 1.5.<|im_end|>
<|im_start|>assistant
<think>
</think>
(1) x = y + 4.5x
Substitute y for y = x + 18 (Eq. we are given)
x = x + 18 + 4.5x
Combine like terms
x = 5.5x + 18 --> -4.5x =18 -->... | 66,847 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A simile uses like or as to compare two things that are not actually alike.
The cat's fur was as... | 4,400 |
<|im_start|>user
How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 5?
Answer Choices: (A) a. 220 (B) b. 249 (C) c. 432 (D) d. 216 (E) e. 288<|im_end|>
<|im_start|>assistant
<think>
</think>
Taking Question with it's same language as given
To make number divisible by 5, the unit digit shou... | 87,469 |
<|im_start|>user
TATA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any... | 58,198 |
<|im_start|>user
Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $170. What is the share of Rahul?
Answer Choices: (A) $68 (B) $40 (C) $60 (D) $100 (E) $90<|im_end|>
<|im_start|>assistant
<think>
</think>
Rahul's wages: Rajesh's wages = 1/3 : 1/2... | 27,681 |
<|im_start|>user
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Answer Choices: (A) 8 1/9 % (B) 8 9/3 % (C) 8 1/3 % (D) 32 1/3 % (E) 8 7/3 %<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. of 1 kg = 420/7 = Rs. 6
S.P. of... | 26,299 |
<|im_start|>user
The product of two positive integers is 1023 and their difference is 2. What is the bigger number?
Answer Choices: (A) 29 (B) 31 (C) 33 (D) 35 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's use trial and error to find the two numbers.
32*30 = 960 (too low)
33*31 = 1023
The answer is C<... | 58,417 |
<|im_start|>user
In a 1000 m race, A beats B by 320 meters or 25 seconds. Find the speed of B?
Answer Choices: (A) 8 (B) 9 (C) 12.8 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Since A beats B by 320 m or 25 seconds, i
t implies that B covers 320 m in 25 seconds.
Hence speed of B = 320/25 = 12.8 m/s.
... | 51,701 |
<|im_start|>user
Which one of the following is not a prime number?
Answer Choices: (A) 31 (B) 61 (C) 71 (D) 91 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
91 is divisible by 7. So, it is not a prime number.
The answer is D<|endoftext|> | 82,532 |
<|im_start|>user
What is the characteristic of the logarithm of 0.0000134?
Answer Choices: (A) 5 (B) -5 (C) 6 (D) -6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
log (0.0000134). Since there are four zeros between the decimal point and the first significant digit, the characteristic is –5.
The answer is B<|... | 64,565 |
<|im_start|>user
The speed of the man in still water is 40 kmph. If he can row upstream at 20 kmph, find the downstream.
Answer Choices: (A) 40 (B) 50 (C) 55 (D) 60 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
M = (DS + US)/2
DS=2M-US
= 2*40-20
= 60
The answer is D<|endoftext|> | 12,690 |
<|im_start|>user
After replacing an old member by a new member, it was found that the average age of eight members of a club is the same as it was two years ago.What is the difference between the ages of the replaced and the new member?
Answer Choices: (A) 2 years (B) 4 years (C) 8 years (D) 16 years (E) None of these<... | 44,793 |
<|im_start|>user
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Answer Choices: (A) 3 : 5 : 2 (B) 3 : 5 : 5 (C) 6 : 10 : 5 (... | 72,337 |
<|im_start|>user
If John invested $ 2 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
Answer Choices: (A) (1.5) ^4 (B) 4(1.5) (C) (1.05) ^4 (D) (2.05) ^4 (E) 1 + 4(0.05) <|im_end|>
<|im_start|>assistant
<think>
</think>
In this prompt, the answ... | 58,468 |
<|im_start|>user
Last year the range of the annual sales of the 100 lamps at Company X was $30,000. If the annual sale of each of the 100 lamps this year is 10 percent greater than it was last year, what is the range of the annual sales of the 100 lamps this year?
Answer Choices: (A) $27,000 (B) $30,000 (C) $33,000 ... | 96,747 |
<|im_start|>user
If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 39 women together do the work?
Answer Choices: (A) 10 days (B) 30 days (C) 20 days (D) 80 days (E) 40 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C
20 days
Given that 12m = 20w => 3m = 5w
9 men + 39... | 56,463 |
<|im_start|>user
Which constellation looks like a rectangle high in winter's south-southeastern sky?
Answer choice: (A) orion (B) Caelum (C) Apus (D) Andromeda<|im_end|>
<|im_start|>assistant
<think>
</think>
The star constellation “Orion, The Hunter”. Orion is one of the most beautiful of all constellations, and one... | 530 |
<|im_start|>user
A is 30% more efficient than B. How much time will they working together take to complete a job which A alone could have done in 23 days?
Answer Choices: (A) 11 (B) 13 (C) 20 3/17 (D) 14 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Ratio of times taken by A and B= 1... | 44,603 |
<|im_start|>user
If b is an integer, what is the greatest possible value for b that would still make the following statement true: 11*10^b < 1/10 ?
Answer Choices: (A) –4 (B) –3 (C) –2 (D) –1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Just putting values, the LHS becomes
b=0 --> 11
b=-1 --> 11/10
b=-... | 17,460 |
<|im_start|>user
what is the sum of the first 30 odd natural numbers
Answer Choices: (A) 300 (B) 400 (C) 900 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of first n odd natural nuber is = n^2
so sum of the first 30 odd natural numbers=(30)^2=900
ans 900
The answer is C<|endoftext|> | 27,953 |
<|im_start|>user
The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits T of the larger integer?
Answer Choices: (A) T=2 (B) T=5 (C) T=8 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
... | 48,021 |
<|im_start|>user
A man deposits $1000 in a bank at 2% per annum and $ 1500 in UTI at 7% per annum. Find the rate of interest for the whole sum.
Answer Choices: (A) 5% (B) 8% (C) 3% (D) 7% (E) 1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Following the above formula,we have the rate of interest for the whole sum... | 46,979 |
<|im_start|>user
Many innovative farming methods can prevent what type of erosion, which is especially important in agriculture?
Answer choice: (A) plains erosion (B) soil erosion (C) fertilizer erosion (D) vegetable erosion<|im_end|>
<|im_start|>assistant
<think>
</think>
There are many farming methods that help pre... | 9,948 |
<|im_start|>user
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Answer Choices: (A) 1/6 (B) 1/2 (C) 1/9 (D) 1/5 (E) 1/1<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive outcomes is 36.
Let E be the event of getting an ... | 3,582 |
<|im_start|>user
The distance that light can travel in a year is known as what?
Answer choice: (A) light year (B) earth year (C) beam year (D) solar year<|im_end|>
<|im_start|>assistant
<think>
</think>
Most of the stars pictured in this view of the night sky are hundreds of light years from Earth. A light year is th... | 7,051 |
<|im_start|>user
In a school of 650 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Answer Choices: (A) 173 (B) 163 (C) 153 (D) 143 (E) 117<|im_end|>
<|im_start|>assistant
<think>
</think>
44 + 28 + 10 = 82%
100 – 82 = 18%
650 * 18/100 = ... | 33,833 |
<|im_start|>user
A lent Rs. 4000 to B for 2 years and Rs. 2000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is :
Answer Choices: (A) 14% (B) 15% (C) 12% (D) 13.75% (E) 14.56%<|im_end|>
<|im_start|>assistant
<t... | 22,768 |
<|im_start|>user
A group of people participate in some curriculum, 35 of them practice Yoga, 20 study cooking, 15 study weaving, 7 of them study cooking only, 5 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
Answer Choices: (A) 1 (B) 2 (C)... | 29,437 |
<|im_start|>user
Most ferns produce the same type of spores and are therefore called what?
Answer choice: (A) homosporous (B) seeds (C) sporozoans (D) heterosporous<|im_end|>
<|im_start|>assistant
<think>
</think>
To see an animation of the lifecycle of a fern and to test your knowledge, go to the website (http://ope... | 10,372 |
<|im_start|>user
nine baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange t... | 48,911 |
<|im_start|>user
If 9a - b = 10b + 60 = -12b - 2a, what is the value of 11a + 11b?
Answer Choices: (A) -8 (B) -4 (C) 0 (D) 4 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
(i) 9a - 11b = 60
(ii) 2a + 22b = -60
Adding (i) and (ii):
11a + 11b = 0
The answer is C<|endoftext|> | 58,659 |
<|im_start|>user
60% of a number is added to 180, the result is the same number. Find the number?
Answer Choices: (A) 300 (B) 277 (C) 266 (D) 99 (E) 450<|im_end|>
<|im_start|>assistant
<think>
</think>
:
(60/100) * X + 180 = X
2X = 900
X = 450
The answer is E<|endoftext|> | 70,141 |
<|im_start|>user
In racing over a given distance d at uniform speed, A can beat B by 20 meters, B can beat C by 6 meters, and A can beat C by 23 meters. What is the distance d in meters?
Answer Choices: (A) 32 (B) 36 (C) 40 (D) 48 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
When A is at the finish line, B... | 73,144 |
<|im_start|>user
If (18^a) * 9^(3a – 1)= (2^7)(3^b) and a and b are positive integers, what is the value of a?
Answer Choices: (A) 22 (B) 11 (C) 9 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
(18^a) * 9^(3a – 1)= (2^7)(3^b)
= 2^a . 9^a . 9^(3a – 1) = (2^7)(3^b)
Just compare powers of 2 from both sides... | 58,710 |
<|im_start|>user
In the faculty of Reverse-Engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the ... | 13,045 |
<|im_start|>user
Find the invalid no.from the following series 2,3,12,37,86,166,288
Answer Choices: (A) 123 (B) 145 (C) 166 (D) 173 (E) 187<|im_end|>
<|im_start|>assistant
<think>
</think>
3-2=1
12-3=9
37-12=25
86-37=49
166-86=80(this must be 81=167-86=81)
so wrong number in the sequence is 166
difference between two... | 9,058 |
<|im_start|>user
Kelly and Jody packed boxes with books. If Jody packed 30% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Answer Choices: (A) 1 to 6 (B) 1 to 4 (C) 3 to 7 (D) 3 to 5 (E) 2 to 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 80,444 |
<|im_start|>user
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 25 percent during the third year. What is the value of the account today?
Answer Choices: (... | 57,846 |
<|im_start|>user
If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Answer Choices: (A) I only (B) II only (C) III only (D) I and II (E) I and III<|im_end|>
<|im_start|>assistant
<think>
</think>
a+b=a(a+b)a+b=a(a+b) --> a(a+b)−(a+b... | 21,250 |
<|im_start|>user
Can you deduce the pattern and find the next number in the series?
13, 24, 35, 46, __?
Answer Choices: (A) 59 (B) 65 (C) 54 (D) 25 (E) 57<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
57
Explanation:
11+2=13
22+2=24
33+2=35
44=2=46
55+2=57
The answer is E<|endoftext|> | 27,816 |
<|im_start|>user
When n is divided by 24, the remainder is 6. What is the remainder when 3n is divided by 8?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n=6 (leaves a remainder of 6 when divided by 24)
3n = 3(6) =18, which leaves a remainder of 2 when divided by ... | 74,961 |
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