text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
If B is the center of the circle in the figure above and the area of the shaded region is 16π, what is the length of arc ADC?
Answer Choices: (A) 4 (B) 4π (C) 16 (D) 8π (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of 1/4th of the circle is 16pi
so area of the circle=64 pi
radius of ci... | 17,595 |
<|im_start|>user
If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
Answer Choices: (A) 3% (B) 4% (C) 5% (D) 6% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Loss = 490 – 465.5 = 24.5 loss in % = 24.5/ 490 x 100 = 5%.
The answer is C<|endoftext|> | 16,460 |
<|im_start|>user
A train 150 m long crosses a platform 120 m long in 10 sec; find the speed of the train?
Answer Choices: (A) 87 kmph (B) 65 kmph (C) 97 kmph (D) 16 kmph (E) 18 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 150 + 120 = 270
T = 10
S = 270/10 * 18/5 = 97 kmph
The answer is C<|endoftext|> | 32,668 |
<|im_start|>user
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 5 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
Answer Choices... | 76,347 |
<|im_start|>user
A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $42.00, and on Tuesday the store sold 20 maps and 15 books for a total of $70.00. At this store, how much less does a map sell for than a book?
Answer Choices: (A) $... | 23,255 |
<|im_start|>user
The present worth of $169 due in 2 years at 4% per annum compound interest is?
Answer Choices: (A) $145.89 (B) $138.62 (C) $156.25 (D) $160.23 (E) $158.95<|im_end|>
<|im_start|>assistant
<think>
</think>
Present worth = 169/ (1 + 4/100)^2 = 169 * 25/26 * 25/26 = $156.25
The answer is C<|endoftext|> | 24,774 |
<|im_start|>user
A cricket bat is sold for $900, making a profit of $100. The profit percentage would be
Answer Choices: (A) 24% (B) 12.5% (C) 30% (D) 36% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
100/(900 - 100) = 100/800 = 0.125 = 12.5%.
The answer is B<|endoftext|> | 22,865 |
<|im_start|>user
Which is the process through which leaves collect sunlight and make food?
Answer choice: (A) Greenhouse (B) compress (C) photosynthesis (D) richness<|im_end|>
<|im_start|>assistant
<think>
</think>
Leaves are the keys not only to plant life but to virtually all life on land. The primary role of leave... | 8,786 |
<|im_start|>user
If the Average (mean ) of 13 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Answer Choices: (A) 6x (B) 12x (C) 5x/3 (D) 3x/2 (E) 3x/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 5 numbers be 1,2,3,4,5, ... | 12,513 |
<|im_start|>user
If a^x = b^y, then
Answer Choices: (A) log a/b= x/y (B) log a/ log b = x/y (C) log a/ log b = y/x (D) log b/a = x/y (E) log b/a = y/x<|im_end|>
<|im_start|>assistant
<think>
</think>
a^x = b^y => log a^x = log b^y => x log a = y log b
=> log a/ log b = y/x
The answer is C<|endoftext|> | 27,207 |
<|im_start|>user
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)?
Answer Choices: (A) 1/4 (B) 1/7 (C) 3/7 (D) 4/9 (E) 5/11<|im_end|>
<|im_start|>assistant
<think>
</think>
Here, E and F are events
P(E|F) = P(EnF)/P(F) = 0.4/0.4 = 1
P(F|E) = P(EnF)/P(E) = 0.4... | 88,987 |
<|im_start|>user
When 6 + 2 = 85, 8 + 3 = 115, 7 + 5 = 125, then 5 + 8 = ?
Answer Choices: (A) 145 (B) 185 (C) 245 (D) 135 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
6 + 2 => 6 + 2 = 8 => 8 × 10 + 5 = 85
8 + 3 => 8 + 3 = 11 => 11 × 10 + 5 = 115
7 + 5 => 7 + 5 = 12 => 12 × 10 + 5 = 125
Then 5 + 8 => 5... | 33,127 |
<|im_start|>user
A car covers a distance of 690 km in 6 hours. Find its speed?
Answer Choices: (A) 104 (B) 115 (C) 266 (D) 288 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
690/6 = 115 kmph
The answer is B<|endoftext|> | 48,308 |
<|im_start|>user
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Loe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Loe?
Answer Choices: (A) 15 (B) 60 (C) 75 (D) 90 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 17,947 |
<|im_start|>user
When the integer z is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2z
II. 6z
III. 4z + 6
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
is ... | 10,456 |
<|im_start|>user
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Answer Choices: (A) 5/7 (B) 5/1 (C) 5/2 (D) 5/6 (E) 5/9<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one graduate) = 1 - P(no graduates)
=... | 60,625 |
<|im_start|>user
What is the remainder when 5632 is divided by 6?
Answer Choices: (A) 2 (B) 1 (C) 0 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
f the number is divisible by both 2 and 3, then number will be divisible by 6.
As there is 2 an even number in units place it is divisible by 2.
sum of digit... | 62,067 |
<|im_start|>user
If log10 7 = a, then log10 (1/70)is equal to:
Answer Choices: (A) - (1 + a) (B) (1 + a) -1 (C) a /10 (D) 1 /10a (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
log10 (1/70)= log10 1 - log10 70
= - log10 (7 x 10)
= - (log10 7 + log10 10)
= - (a + 1).
The answer is A<|e... | 35,304 |
<|im_start|>user
Two members of a certain club are selected to speak at the next club meeting. If there are 66 different possible selections of the 2 club members, how many members does the club have?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Method-1
Total No. of... | 15,488 |
<|im_start|>user
Three small cruise ships, each carrying 5 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected... | 49,203 |
<|im_start|>user
Which is greater than 16
Answer Choices: (A) 1.6 (B) 66 (C) 6 (D) -6 (E) 6.1<|im_end|>
<|im_start|>assistant
<think>
</think>
66 greater than 16.
The answer is B<|endoftext|> | 55,358 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 5,520 |
<|im_start|>user
Each truck from David Removal Company can haul 1000 pounds of trash at a time.
On Wednesday the company has jobs to remove 2,500 pounds of trash from one
site, 500 from another site, and 3,500 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will... | 95,931 |
<|im_start|>user
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Answer Choices: (A) 21 (1/9) (B) 21 (1/3) (C) 21 (1/2) (D) 21 (5/3) (E) 21 (1/6) <|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total distan... | 73,085 |
<|im_start|>user
A palindrome is a number that reads the same forward and backward, such as 616. How many even, 4-digit numbers are palindromes?
Answer Choices: (A) 40 (B) 45 (C) 50 (D) 90 (E) 2500<|im_end|>
<|im_start|>assistant
<think>
</think>
First recognize you only need to consider the first two digits (because... | 91,931 |
<|im_start|>user
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 340 m long platform?
Answer Choices: (A) 37 min (B) 46 min (C) 47 min (D) 67 min (E) 45 min<|im_end|>
<|im_start|>assistant
<think>
</think>
B
46 min
Let the length of the train be x m.
When... | 4,464 |
<|im_start|>user
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Answer Choices: (A) 24 (B) 26 (C) 42 (D) 46 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's d... | 73,516 |
<|im_start|>user
The length of the bridge, which a train 130 metres long and travelling at 36 km/hr can cross in 45 seconds, is:
Answer Choices: (A) 320 m (B) 225 m (C) 245 m (D) 250 m (E) 240 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [36X 5/18] m/sec = 10 m/sec
Time = 45 sec
Let the length of bridge... | 1,754 |
<|im_start|>user
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Answer Choices: (A) 45 km/hr (B) 50 km/hr (C) 54 km/hr (D) 55 km/hr (E) 58 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 32,067 |
<|im_start|>user
A contractor is engaged for 30days on the condition that he receives Rs.25 for eachday he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
Answer Choices: (A) 5 (B) 10 (C) 17 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
30 * 25 =... | 76,742 |
<|im_start|>user
A straight pipe 1 yard in length was marked off in halves and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Answer Choices: (A) 1/6 and 1/4 only (B) 1/6 and 1/3 onl... | 28,796 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Guide words appear on each page of a dictionary. They tell you the first word and last word on the page. The other words on the page come between the guide words in alphabetical order.
To put words in alphabetical order, put... | 1,404 |
<|im_start|>user
Each writer for the local newspaper is paid as follows: a dollars for each of the first x stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits x+ a stories in a month earn than a writer who submits x+ b stories?
Answer Choices: (A... | 53,793 |
<|im_start|>user
An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 17%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Answer Ch... | 82,848 |
<|im_start|>user
If a man buys 40 purse for $110 and sold them for $3 dollars each determine his gain.
Answer Choices: (A) $ 20 (B) $ 10 (C) $ 30 (D) $ 5 (E) $ 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 40 purse = $110
Sold each purse for $3
So he sold 40 purse for $(40 × 3) = $120
Loss = $(120 – 110... | 14,454 |
<|im_start|>user
A circle circumscribes three unit circles that touch each other. What is the area of the larger circle? Note that p is the ratio of the circumference to the diameter of a circle ( 3.14159265).
Answer Choices: (A) 3.14×(7+43–√3/9) (B) 3.14×(7+43–√3/7) (C) 3.14×(7+43–√3/6) (D) 3.14×(7+43–√3/3) (E) 3.... | 12,235 |
<|im_start|>user
The number of boys in a class is (3/2) times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Answer Choices: (A) A) 48 (B) B) 44 (C) C) 42 (D) D) 40 (E) E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let number ... | 17,754 |
<|im_start|>user
A motorist knows nine different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
Answer Choices: (A) 4 (B) 8 (C) 12 (D) 24 (E) 54<|im_end|... | 64,349 |
<|im_start|>user
If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 8 people to do 8 times of that particular work?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 8 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
3 people can do the work one time in one day.
1 person can do 1/3... | 17,974 |
<|im_start|>user
Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer Choices: (A) 1235 (B) 1345 (C) 1678 (D) 1767 (E) 1611<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 53,499 |
<|im_start|>user
Two trains run in opposite directions on a circular track. Train Q travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they ... | 22,219 |
<|im_start|>user
What is the name for the inner lining of the uterus?
Answer choice: (A) the uterine shell (B) the endometrium (C) the epidermis (D) cuticle<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 9,969 |
<|im_start|>user
What distance will be covered by a bus moving at 54 kmph in 30 seconds?
Answer Choices: (A) 287 (B) 900 (C) 289 (D) 276 (E) 207<|im_end|>
<|im_start|>assistant
<think>
</think>
54 kmph = 54 * 5/18
= 30 mps
D = Speed * time = 30 * 30
= 900 m.
The answer is B<|endoftext|> | 66,304 |
<|im_start|>user
2y - x = 2xy . If x and y are integers, which of the following could equal y?
Answer Choices: (A) 2 (B) 1 (C) 0 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Plug in the answer choices in the equation from the question stem.
A) y = 2 >>> 4-x = 4x >>> No value of x will satisfy this, no... | 41,450 |
<|im_start|>user
At Annie's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Answer Choices: (A) 384 (B) 258 (C) 216 (D) 120 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
we have t... | 19,871 |
<|im_start|>user
Amines are weak bases due to the presence of a lone pair of what on the nitrogen atom?
Answer choice: (A) electrons (B) protons (C) nuclei (D) atoms<|im_end|>
<|im_start|>assistant
<think>
</think>
Amines are weak bases due to the presence of a lone pair of electrons on the nitrogen atom. This lone p... | 7,802 |
<|im_start|>user
8 hens weigh equal to as many duck as are equal to 7 cats. All of them weigh 264kg only. Hen's weighs are?
Answer Choices: (A) 6 (B) 5 (C) 2 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
8h = xd = 7c
8h + xd + 7c ----- 264kg.
8h+8h+8h ----- 264kg.
24h ------ 264kgs. => 1h = 11kg
The a... | 5,435 |
<|im_start|>user
The length of a rectangular floor is more than its breadth by 200%. If Rs.529 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Answer Choices: (A) 12 (B) 18 (C) 20 (D) 22 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length and the brea... | 93,498 |
<|im_start|>user
Andrew found $10 while cleaning his car. He found 15 quarters, 22 dimes, 5 pennies and 4 dollar bills. What % of the total amount he found were made up of coins?
Answer Choices: (A) 95 % (B) 90 % (C) 85 % (D) 70 % (E) 60 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of runs made by runnin... | 87,519 |
<|im_start|>user
A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Answer Choices: (A) 2 (B) 7 (C) 9 (D) 10 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
222 + 43 = 265/17 = 10 (Remainder)
D
The answer is D<|endoftext|> | 80,467 |
<|im_start|>user
A single discount equivalent to the discount series of 20%, 10% and 8% is?
Answer Choices: (A) 31.6 (B) 31.0 (C) 31.6 (D) 31.1 (E) 33.76<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(80/100)*(90/100)*(92/100)
= 68.4
100 - 66.24 = 33.76
The answer is E<|endoftext|> | 69,597 |
<|im_start|>user
Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Katniss knows the answer. Do you ?
Answer Choices: (A) 5pm (B) 6pm (C) 4am (D) 7am (E) 8pm<|im_end|>
<|im_start|>assistant
<think>
</think>
B
6pm
The time after 24, 000, 000 hours wi... | 23,792 |
<|im_start|>user
What is the least number which when divided by 5, 6, 9 and 12 leaves remainder 4 in each care?
Answer Choices: (A) 130 (B) 140 (C) 156 (D) 184 (E) 196<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
LCM of 5, 6, 9 and 12 is 180
Required number = 180 + 4 = 184
The answer is D<|endoftext|... | 21,451 |
<|im_start|>user
In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Answer Choices: (A) 200 (B) 210 (C) 220 (D) 240 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
ARMOUR = 6 letter whereas R repeated twice 6! 6xSx4x3x2x1 => 360
E
The answer is E<|endoftext|> | 50,553 |
<|im_start|>user
Excluding stoppages, the speed of a train is 42 kmph and including stoppages it is 27 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) A) 19.42 (B) B) 20.42 (C) C) 21.42 (D) D) 22.42 (E) E) 23.42<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
T = 15/42 * 60 =... | 53,786 |
<|im_start|>user
How many different 6 digit numbers can be formed from the number 745698 by re-arranging its digits so that the odd digits occupy even position
Answer Choices: (A) 15 (B) 12 (C) 8 (D) 7 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 3 odd numbers which have to be placed at 3 even pl... | 69,642 |
<|im_start|>user
A man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Answer Choices: (A) 8.2kmph (B) 9.0kmph (C) 7.0kmph (D) 6.5kmph (E) 7.2kmph<|im_end|>
<|im_start|>assistant
<thi... | 45,795 |
<|im_start|>user
At what price must an article costing Rs.75 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Answer Choices: (A) 62.5 (B) 62.0 (C) 62.6 (D) 62.1 (E) 98.68<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = 75
SP = 75*(125/100) = 9... | 6,624 |
<|im_start|>user
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Answer Choices: (A) 39, 30 (B) 41, 32 (C) 42, 33 (D) 43, 34 (E) 40, 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Let their m... | 44,941 |
<|im_start|>user
If the square of a Positive Number X is equal to five times the same Number then what is the value of X?
Answer Choices: (A) 1 (B) 25 (C) 8 (D) 5 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
X * X = 5X
X = 5
so the
The answer is D<|endoftext|> | 37,944 |
<|im_start|>user
The angles of a triangle are in the ratio 1:6:8. Find the measurement of the largest of three angles of triangle.
Answer Choices: (A) 96° (B) 100° (C) 120° (D) 140° (E) 160°<|im_end|>
<|im_start|>assistant
<think>
</think>
If the ratio of the three angles is 1:6:8, then the measures of these angles c... | 54,920 |
<|im_start|>user
Find the circumference and area of radius 8 cm.
Answer Choices: (A) 124 cm² (B) 201 cm² (C) 210 cm² (D) 184 cm² (E) 194 cm²<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of circle = πr²
= 22/7 × 8 × 8 cm²
= 201 cm²
The answer is B<|endoftext|> | 69,929 |
<|im_start|>user
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Answer Choices: (A) Rs. 24800 (B) Rs. 28400 (C) Rs. 24400 (D) Rs. 28800 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amo... | 19,818 |
<|im_start|>user
The original price of a certain TV set is discounted by q percent, and the reduced price is then discounted by 2q percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Answer Choices: (A) P(1 - 0.03x + 0.... | 60,606 |
<|im_start|>user
The probability that a convenience store has no iced tea is 60%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?
Answer Choices: (A) 1/8 (B) 1/4 (C) 1/2 (D) 3/4 (E) 16/25<|im_end|>
<|im_start|>assis... | 64,054 |
<|im_start|>user
If a man reduces the selling price of a fan from 400 to 380 his loss increases by 20% .What is the cost price of fan
Answer Choices: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
increase in loss=20%
consider loss is x initially, so final loss will increase ... | 10,773 |
<|im_start|>user
1/2 + [(2/3 * 3/2)/4] - 9/16 =
Answer Choices: (A) 1/16 (B) 3/16 (C) 15/16 (D) 9/13 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to simplify the expression using PEMDAS.
Parentheses
Exponents
Multiplication andDivision
Addition andSubtraction
The calculation of an equation or e... | 55,250 |
<|im_start|>user
A & B are two places. C & D start walking from A and B respectively. Before meeting D, C travel 18m more than D. then C takes 13 and half minute and D take 24 minute to reach their destination.
Answer Choices: (A) 124 (B) 126 (C) 127 (D) 128 (E) 129<|im_end|>
<|im_start|>assistant
<think>
</think>
th... | 95,954 |
<|im_start|>user
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 200,000 bacteria
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
The question basically asks how many ... | 97,161 |
<|im_start|>user
If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 300, then x must be a multiple of which of the following?
Answer Choices: (A) 3. (B) 6. (C) 7. (D) 8. (E) 10.<|im_end|>
<|im_start|>assistant
<think>
</think>
If y is a multiple of 5, then 6y is also a multiple of 5.
3x = 3... | 71,483 |
<|im_start|>user
Two goods trains each 820 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 228 (B) 27.32 (C) 76.6 (D) 78.72 (E) 21<|im_end|>
<|im_start|>as... | 13,115 |
<|im_start|>user
Attraction of a material by a magnet is an example of what type of property?
Answer choice: (A) physical (B) thermal (C) chemical (D) transitive<|im_end|>
<|im_start|>assistant
<think>
</think>
Iron filings are attracted by a magnet. This is a physical property of iron but not of most other materials... | 8,065 |
<|im_start|>user
There are 10 women and 15 men in an office. In how many ways can a person can be selected?
Answer Choices: (A) 23 (B) 25 (C) 28 (D) 10 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways in which a person can be selected = 10 + 15 = 25
The answer is B<|endoftext|> | 53,522 |
<|im_start|>user
It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
Answer Choices: (A) 2 hours and 45 minutes. (B) 5 hours and 45 minutes. (C) 3 hours and 45 minutes. (D) 4 hours ... | 72,600 |
<|im_start|>user
Which of the following is a prime number ?
Answer Choices: (A) 33 (B) 81 (C) 93 (D) 97 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Clearly, 97 is a prime number.
The answer is D<|endoftext|> | 498 |
<|im_start|>user
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 9 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Answ... | 54,938 |
<|im_start|>user
Peeta asks Katniss, 'It is 12 pm as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ?
Answer Choices: (A) 9am (B) 6pm (C) 4am (D) 7am (E) 8pm<|im_end|>
<|im_start|>assistant
<think>
</think>
A
9pm
The time after 24, 000, 000 hours w... | 26,616 |
<|im_start|>user
If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 54?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
four wheeler=13*4=52(max... | 13,457 |
<|im_start|>user
Determine the value of 3*27/31+81/93
Answer Choices: (A) 0 (B) 156/31 (C) 123/31 (D) 151/31 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Both fractions should be reduced before performing arithmetic operations. We get 3*27/31+3.27/3.31=3*27/31+27/31=4*27/31=151/31
The answer is... | 32,580 |
<|im_start|>user
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Answer Choices: (A) 10 (B) 12 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>a... | 52,909 |
<|im_start|>user
If two numbers are in the ratio 2:3. If 5 is subtracted from both of the numbers then the ratio becomes 3:4 then find the smallest number?
Answer Choices: (A) 5 (B) 10 (C) 20 (D) 40 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Ratio -> 2:3
2x - 5 : 3x - 10 = 3 : 4
4[2x - 5] = 3[3x - ... | 87,641 |
<|im_start|>user
When positive integer F is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when F is divided by B?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
the remainder will be obtained from the decimal p... | 68,193 |
<|im_start|>user
7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.
Answer Choices: (A) 200 (B) 300 (C) 400 (D) 500 (E) 470<|im_end|>
<|im_start|>assistant
<think>
</think>
1. The numbe... | 74,337 |
<|im_start|>user
There are 6 gentlemen and 5 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
Answer Choices: (A) 85400 (B) 36400 (C) 86400 (D) 65600 (E) 88600<|im_end|>
<|im_start|>assistant
<think>
</think>
6 men can be arranged around a table in ... | 25,721 |
<|im_start|>user
What adds phosphate groups to receptor proteins at the surface of the cell?
Answer choice: (A) nitrogen kinases (B) brain kinases (C) protein kinases (D) receptor kinases<|im_end|>
<|im_start|>assistant
<think>
</think>
Receptor tyrosine kinases epidermal growth factor receptor (EGFR), platelet-deriv... | 9,989 |
<|im_start|>user
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
Answer Choices: (A) 7/18 (B) 2/7 (C) 7/9 (D) 4/7 (E) 4/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly n(S)=6*6=36
Let E be the event that the sum of the numbers on the tw... | 50,087 |
<|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.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 6,099 |
<|im_start|>user
A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Answer Choices: (A) 8 (B) 12 (C) 22 (D) 17 (E) 18<|im_end|>
<|im_s... | 95,095 |
<|im_start|>user
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $500 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual ... | 84,220 |
<|im_start|>user
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Answer Choices: (A) 7 1/7 sec (B) 7 7/2 sec (C) 7 1/8 sec (D) 7 1/2 sec (E) 7 3/2 sec<|im_end|>
<|im_start|>assistant
<think>
<... | 3,233 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that expresses a complete thought.
The band I'm in has been rehearsing daily because we have a concert in two weeks.
A run-on sentence is formed when two sentences are run together, joined by j... | 4,817 |
<|im_start|>user
The average of 7 numbers is 23. If each number be multiplied by 5. Find the average of new set of numbers?
Answer Choices: (A) A) 110 (B) B) 122 (C) C) 120 (D) D) 115 (E) E) 145<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average of new numbers = 23 * 5 = 115
The answer is D<|endoft... | 72,567 |
<|im_start|>user
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Answer Choices: (A) 12 (B) 76 (C) 97 (D) 16 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
(A + B) - (B + C) = 12
A - C = 12
The answer is A<|endoftext|> | 66,411 |
<|im_start|>user
What is the sum of the integers from -60 to 65, inclusive?
Answer Choices: (A) 315 (B) 215 (C) 115 (D) 165 (E) 765<|im_end|>
<|im_start|>assistant
<think>
</think>
In an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=65, a=-60, d=1
hence, 65=-60+(n-1)
or n=126
Sum of n terms can... | 9,193 |
<|im_start|>user
What type of fish are the majority of living species?
Answer choice: (A) cartilaginous fish (B) freshwater fish (C) lungfish (D) ray-finned fish<|im_end|>
<|im_start|>assistant
<think>
</think>
Ray-finned fish include the majority of living fish species, including goldfish, tuna, salmon, perch, and c... | 10,596 |
<|im_start|>user
The owner of a furniture shop charges his customer 32% more than the cost price. If a customer paid Rs. 5400 for a computer table, then what was the cost price of the computer table?
Answer Choices: (A) Rs.4090 (B) Rs.4067 (C) Rs.6290 (D) Rs.6725 (E) Rs.6708<|im_end|>
<|im_start|>assistant
<think>
</t... | 40,591 |
<|im_start|>user
The sum of all the integers k such that –24 < k < 24 is
Answer Choices: (A) 0 (B) -2 (C) -45 (D) -49 (E) -51<|im_end|>
<|im_start|>assistant
<think>
</think>
-23------------------0-----------------23
values upto+23 cancels outwe are left with only -23-22 sum of which is - 45. hence option D.
C
The an... | 20,999 |
<|im_start|>user
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Answer Choices: (A) 10% (B) 30% (C) 50% (D) 40% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
he total CP =... | 15,560 |
<|im_start|>user
If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price?
Answer Choices: (A) 200/3 % (B) 200/6 % (C) 100% (D) 200% (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
increase is 203-3=200
%increase is 200*100/3=6666.667%
The answer is E<|endoftext|> | 89,127 |
<|im_start|>user
What is your body made up of?
Answer choice: (A) trillions of cells (B) skin (C) millions of elements (D) energy<|im_end|>
<|im_start|>assistant
<think>
</think>
According to the cell theory , all living things are made up of cells, which is the structural unit of living organisms, and living cells a... | 3,327 |
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