text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A college has classes from 10:00 AM until 1:45 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Answer Choices: (A) 38 min (B) 41 min (C) 40 min (D) 42 min (E) 52 min<|im_end|>
... | 22,758 |
<|im_start|>user
Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Answer Choices: (A) 900 (B) 1000 (C) 1254 (D) 1795 (E) 1400<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount received by sanjay.
4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amoun... | 23,823 |
<|im_start|>user
On five consecutive flips of a coin, what is the probability that all five produce the same result?
Answer Choices: (A) 1/16 (B) 1/8 (C) 1/4 (D) 3/8 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
TTTTT case --> P = (1/2)^5 = 1/32
HHHHH case --> P = (1/2)^5 = 1/32
P(TTTTT or HHHHH) = 1/32 + ... | 58,227 |
<|im_start|>user
A bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Answer Choices: (A) 0.004% (B) 0.04% (C) 0.40% (D) 2% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>... | 93,218 |
<|im_start|>user
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (a) around the mirror, which of the following could be the value, in inches, of a ?
I. 2
II. 3 1/2
III. 5
Answer Choices: (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II, and III<|... | 10,624 |
<|im_start|>user
The area of a square is 4225 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Answer Choices: (A) 5:28 (B) 5:19 (C) 5:12 (D) 5:13 (E) 41:130<|im_end|>
<|im_start|>assistant
<think>
</t... | 50,471 |
<|im_start|>user
The original price of a car was $25,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was... | 13,725 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 5,884 |
<|im_start|>user
A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
Answer Choices: (A) Rs 8.81 (B) Rs 9.81 (C) Rs 10.81 (D) Rs 11.81 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
85 : 9... | 41,558 |
<|im_start|>user
If 4x + y = 8 and 3x-4y = 5, then what is the value of 7x - 3y?
Answer Choices: (A) 23 (B) 3 (C) 15 (D) 52/7 (E) 60/7<|im_end|>
<|im_start|>assistant
<think>
</think>
4x+y=8 ...equation 1
3x-4y=5 ...equation 2
adding both the equations
7x- 3y=23
The answer is A<|endoftext|> | 94,630 |
<|im_start|>user
What do you call an incomplete outer shell of an atom?
Answer choice: (A) helium shell (B) motile shell (C) nucleic shell (D) valence shell<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 5,839 |
<|im_start|>user
When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $76.50, what was the total value of the item?
Answer Choices: (A) $1,250 (B) $1,450 (C) $1,650 (D) $1,850... | 40,715 |
<|im_start|>user
A library contains 90671 books in English and 405063 books in other languages. What is the total number of books available in the library?
Answer Choices: (A) 494947 (B) 494044 (C) 495734 (D) 493734 (E) 493923<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of English Books = 90671
Number of ... | 66,038 |
<|im_start|>user
A man walking at a rate of 10km/hr crosses a bridge in 18 minutes. The length of the bridge is?
Answer Choices: (A) 1521 (B) 3000 (C) 1667 (D) 1254 (E) 1112<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 10*5/18 = 50/18 m/sec
Distance covered in 10minutes = 50/18 *18 *60 = 3000 m
The answer... | 82,329 |
<|im_start|>user
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $600. How many green hats did we buy?
Answer Choices: (A) A) 36 (B) B) 90 (C) C) 40 (D) D) 42 (E) E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B be the number of blue hats and let G be the numb... | 63,635 |
<|im_start|>user
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Number = 269 * 68 + 0 = 18292
67) 18292 (273
18291
--------
1
Required n... | 14,746 |
<|im_start|>user
Complete the sequence:
B E J Q ?
Answer Choices: (A) M (B) D (C) S (D) D (E) Z<|im_end|>
<|im_start|>assistant
<think>
</think>
E
B+3=E
E+5=J
J+7=Q
Q+9=Z
The answer is E<|endoftext|> | 1,827 |
<|im_start|>user
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after ... | 89,834 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 5,900 |
<|im_start|>user
When the number 2y31129 is exactly divisible by 11, then what can be the smallest whole number in place of y?
Answer Choices: (A) 1 (B) 3 (C) 4 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
The given number =2y31129
Sum of the odd places =9+1+3+2=15
Sum of the even places = 2+1+y
(Sum ... | 64,194 |
<|im_start|>user
Traits that are affected by more than one gene are what type of traits?
Answer choice: (A) monogenetic (B) polygenic traits (C) recessive (D) dominant<|im_end|>
<|im_start|>assistant
<think>
</think>
Traits that are affected by more than one gene are called polygenic traits . The genes that affect a ... | 10,465 |
<|im_start|>user
If f > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - f) =
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 3/4 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let y-z=t ---> since y is halfway between x and z and x>y we have x-y=t. M... | 50,278 |
<|im_start|>user
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 6500rs,what is the value of buzness?
Answer Choices: (A) 150000 (B) 16000 (C) 15000 (D) 190000 (E) 13000<|im_end|>
<|im_start|>assistant
<think>
</think>
If value of business=x
Total sell (2x/3)(3/4)=6500
->x=13000
The an... | 77,438 |
<|im_start|>user
If each of 4 subsidiaries of Corporation R has been granted a line of credit of $626,500 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Answer Choices: (A... | 20,549 |
<|im_start|>user
If 4a = 16b and 9b = 14c, Find a:b:c?
Answer Choices: (A) 52:13:7 (B) 13:7:52 (C) 7:13:52 (D) 64:14:9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(4a = 16b ==> a/b = 16/4)
and (9b = 14c ==> b/c = 14/9)
==> a:b = 16:4 and b:c = 14:9
a:b:c = 64:14:9
The answer is D<|... | 60,650 |
<|im_start|>user
If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled?
Answer Choices: (A) 25/216 (B) 50/216 (C) 25/72 (D) 25/36 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactl... | 85,542 |
<|im_start|>user
The number of sailors on a ship is 88% more than the number of officers. The ratio of sailors to officers would be
Answer Choices: (A) 33:25 (B) 47:20 (C) 47:25 (D) 22:25 (E) 97:50<|im_end|>
<|im_start|>assistant
<think>
</think>
Sailor = 1/88 * Officer
Sailor/Officer = 1.88/1 = 188/100 = 47/25
The a... | 15,071 |
<|im_start|>user
The edges of a cuboid are 4 cm, 4 cm and 6 cm. Find the volume of the cuboid?
Answer Choices: (A) 90 (B) 60 (C) 96 (D) 80 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
4*4*6
= 96
The answer is C<|endoftext|> | 36,770 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 778 (B) 280 (C) 288 (D) 111 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(85/100) =... | 84,925 |
<|im_start|>user
If three numbers are added in pairs, the sums equal 10,19 and 21. Find the numbers?
Answer Choices: (A) 5, 10, 15 (B) 6, 4, 15 (C) 2, 4, 8 (D) 15, 20, 25 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the numbers be x, y and z.
Then, x + y = 10 ............(i) and
y + z = 19 ........ | 49,152 |
<|im_start|>user
If c equals the sum of the even integers from 2 to 504, inclusive, and m equals the sum of the odd integers from 1 to 297, inclusive, what is the value of c + 2m?
Answer Choices: (A) 85957 (B) 108158 (C) 299376 (D) 107860 (E) 150788<|im_end|>
<|im_start|>assistant
<think>
</think>
Use following formu... | 80,963 |
<|im_start|>user
The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (... | 51,393 |
<|im_start|>user
A firm has 5 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
Answer Choices: (A) 130 (B) 135 (C) 140 (D)... | 53,344 |
<|im_start|>user
What is the sum of all the multiples of 8 between 30 and 100?
Answer Choices: (A) 485 (B) 72 (C) 547 (D) 104 (E) 624<|im_end|>
<|im_start|>assistant
<think>
</think>
You first have to know all the multiples of 8 between 30 and 100. They are 8, 16, 24,32,40,48,56,64,72,80,88 and96. If you add all thes... | 3,598 |
<|im_start|>user
62, 60, 55, 53, 48, 46, ?
Answer Choices: (A) 15 (B) 23 (C) 41 (D) 25 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5 ....
The answer is C<|endoftext|> | 59,116 |
<|im_start|>user
If x,2x+2,3x+3 are the first three terms of a GP,then what is its fourth term?
Answer Choices: (A) -11.5 (B) -12.5 (C) -13.5 (D) -14.5 (E) -15.5<|im_end|>
<|im_start|>assistant
<think>
</think>
(2x+2)/x= (3x+3)/(2x+2)
4x^2+8x+4 = 3x^2+3x
x^2+5x+4=0
x=-4
so series will be
-4,-6,-9,-13.5
The answer is ... | 5,280 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 824 |
<|im_start|>user
If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one?
Answer Choices: (A) 8. (B) 12. (C) 6. (D) 4. (E) 10.<|im_end|>
<|im_start|>assistant
<think>
</think>
let v and v' be the original and the changed volume
now
v=pir^2h
v... | 55,886 |
<|im_start|>user
Lucy's personal library had 1/20 the capacity as the town library. Lucy decided to donate 1/2 of her book collection to the town library. What fraction of the town library's capacity would Lucy's book donation fill?
Answer Choices: (A) 3/16 (B) 1/10 (C) 1/6 (D) 1/18 (E) 1/4<|im_end|>
<|im_start|>assist... | 53,128 |
<|im_start|>user
A cat chases a rat 6 hours after the rat runs. cat takes 4 hours to reach the rat. If the average speed of the cat is 90 kmph, what s the average speed of the rat?
Answer Choices: (A) 32kmph (B) 26kmph (C) 35kmph (D) 36kmph (E) 32kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
cat take 10 hours... | 1,813 |
<|im_start|>user
What are the proteins called that speed up biochemical reactions in cells?
Answer choice: (A) peptides (B) hormones (C) carbohydrates (D) enzymes<|im_end|>
<|im_start|>assistant
<think>
</think>
Enzymes are proteins that speed up biochemical reactions in cells. Antibodies are proteins that target pat... | 2,585 |
<|im_start|>user
Caleb and Frank are partners in a business. Caleb runs the business and receives 8% of the profit for managing the business, the rest is divided in proportion of their capitals. Caleb invested Rs.5000 and Frank invested Rs.10000. the rest is divided in proportion of their capitals. Out of a total profi... | 87,695 |
<|im_start|>user
John and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but John is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45... | 12,630 |
<|im_start|>user
What is the ratio A of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Answer Choices: (A) 1/4 (B) 3/8 (C) 1/2 (D) 3/5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
One side surface area of a cub... | 92,419 |
<|im_start|>user
On Sunday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up L percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of L?
Answer Choices: (A) 20% (B) 30% (C) 33 1⁄3% (D) 40% (E) 50%<|im_end... | 47,206 |
<|im_start|>user
It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one eighth of the dish?
Answer Choices: (A) 10 days (B) 15 days (C) 27 days (D) 28 days (E) 29 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 58,756 |
<|im_start|>user
Harold needs to buy a ticket to attend a conference for work. His own department contributes $4 less than half the price of the ticket. The HR department will contributes $1 more than a third of the price of the ticket. With these two contributions, Harold has to pay only $10 out of his own pocket to c... | 23,777 |
<|im_start|>user
Dawson’s salary is reduced by 20% and then reduced salary is increased by 20%. Find ,how many percentage his present salary is less as compared to his previous salary?
Answer Choices: (A) 0% (B) 1% (C) 2% (D) 3% (E) 4%<|im_end|>
<|im_start|>assistant
<think>
</think>
20*20
-------- = 4%
100
The answe... | 34,919 |
<|im_start|>user
Find the area of a parallelogram with base 10 cm and height 20 cm.
Answer Choices: (A) 200 (B) 384 (C) 200 (D) 244 (E) 242<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram = base * height = 10 * 20 = 200 cm2
The answer is C<|endoftext|> | 38,850 |
<|im_start|>user
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Answer Choices: (A) 40x (B) 75x (C) 48x (D) 24x (E) x/7... | 64,429 |
<|im_start|>user
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. How many possible selections of 3 books from this shelf include at least one paperback?
Answer Choices: (A) a) 40 (B) b) 45 (C) c) 36 (D) d) 55 (E) e) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
approach 1
at-le... | 142 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 5,640 |
<|im_start|>user
Solve the equation 2 – x = 2b – 2ax, where a and b are real parameters. Find for which values of a the equation has for solution a natural number, if b = 7
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
We write the given equation like this (2... | 21,985 |
<|im_start|>user
If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Answer Choices: (A) 10 (B) 24 (C) 30 (D) 36 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 216 Km/hr => 216,0... | 49,764 |
<|im_start|>user
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.15,000 earned at the end of 2years from the startingof the business?
Answer Choices: (A) s. 5,000 (B) s. 4,500 (C) s. 5,700 ... | 79,140 |
<|im_start|>user
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 620 m?
Answer Choices: (A) 120 sec (B) 99 sec (C) 89 sec (D) 86 sec (E) 85 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
v = 240/24 (where v is the speed of th... | 54,118 |
<|im_start|>user
How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Answer Choices: (A) 120 (B) 240 (C) 360 (D) 540 (E) 720<|im_end|>
<|im_start|>assistant
<think>
</think>
Jason can select his seat in... | 76,032 |
<|im_start|>user
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 1/4 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Answer Choices: (A) x/3 (B) x/2 (C) 2x/3 (D) 3x (E) 2x<|... | 65,077 |
<|im_start|>user
Jim bought edging to go around a circular garden with a radius of 5 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Answer Choices: (A) 28.84' additional edging (B) 48.84' additional edging (C) 31.40' additional edging (D) 18.84' additional edging ... | 40,184 |
<|im_start|>user
A cylinder is being filled with sand weighing 200 kg per cubic foot. The cylinder has a diameter of 1 foot and is 5 feet tall. How much sand is being used??
Answer Choices: (A) 250pi kg (B) 500pi kg (C) 500pi^2 kg (D) 1000pi kg (E) 1000pi^2 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer i... | 8,587 |
<|im_start|>user
Dawson has to secure 30% marks to clear his exam of class 8th.
He got 30 marks and failed by 36 marks.
What is the maximum marks ?
Answer Choices: (A) 180 (B) 190 (C) 200 (D) 210 (E) 220<|im_end|>
<|im_start|>assistant
<think>
</think>
E
220
To pass the exam ravish needs 30 + 36 = 66 marks.
=> (66/30... | 11,258 |
<|im_start|>user
What is the next number in the sequence below?
1 4 9 16 25 36 49 64 81 __ ?
Answer Choices: (A) 45 (B) 81 (C) 64 (D) 65 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
as the series of numbers are squares of numbers
1^2=1
2^2=4
3^2=9
and so on
therefore 10^2=100
The answer is E<|endoftext|> | 29,049 |
<|im_start|>user
An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase?
Answer Choices: (A) 15% (B) 0.77% (C) 20% (D) 22% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
New annual salary = $70,000
Salary increase = $5,000.
Original salar... | 12,074 |
<|im_start|>user
If p ≠ 1 and if qp/(q - p) = 1, what is the value of q in terms of p?
Answer Choices: (A) (p+1) /p (B) (p - 1) /p (C) p/(p + 1) (D) p/(1-p) (E) (1 - p) /p<|im_end|>
<|im_start|>assistant
<think>
</think>
This question comes with a particular 'quirk' (one that you probably won't see on Test Day). Th... | 19,962 |
<|im_start|>user
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 135 grams of water?
Answer Choices: (A) 16 (B) 72 (C) 112 (D) 120 (E) 142<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the ratio... | 1,150 |
<|im_start|>user
Cost is expressed by the formula tb^4. If b is doubled, the new cost E is what percent of the original cost?
Answer Choices: (A) E=200 (B) E=600 (C) E=800 (D) E=1600 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Original Cost E, C1=t1*b1^4
New Cost C2= t2*b2^4....only b is doubled so t2=t1 ... | 83,643 |
<|im_start|>user
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability q that the World Series will consist of fewer ... | 43,434 |
<|im_start|>user
Analysis of the various vehicle prices in a car dealership shop revealed that :
I) trucks cost 12% less than SUVs
II) Minivans cost 20% less than trucks
III) sedans cost 8% less than minivans
what percent of SUV's cost is a sedan?
Answer Choices: (A) 88.9% (B) 90% (C) 66.24% (D) 70.3% (E) 78.8%<|im_end... | 39,056 |
<|im_start|>user
A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Answer Choices: (A) 277 m (B) 700 m (C) 600 m (D) 187 m (E) 1678 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the l... | 4,110 |
<|im_start|>user
65% of x = 20% of 487.50. Find the value of x?
Answer Choices: (A) 100 (B) 150 (C) 160 (D) 180 (E) 199<|im_end|>
<|im_start|>assistant
<think>
</think>
65% of x = 20% of 487.50
Then, 65/100 * x = 20/100 * 4875/10
x= 150
The answer is B<|endoftext|> | 60,532 |
<|im_start|>user
What is the largest 4 digit number exactly divisible by 48?
Answer Choices: (A) 4676 (B) 4678 (C) 9984 (D) 9504 (E) 9936<|im_end|>
<|im_start|>assistant
<think>
</think>
Largest 4 digit number = 9999
9999 ÷ 48 = 208, remainder = 15
Hence largest 4 digit number exactly divisible by 48
= 9999 - 15 = 99... | 20,983 |
<|im_start|>user
On simplification, 3500 – (1000 ÷ 20.50) is equal to :
Answer Choices: (A) 3451.21 (B) 3029.0 (C) 2993.03 (D) 2984.36 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given exp. = 3500 - ((1000 ÷ 2050) * 100)
= 3451.21
The answer is A<|endoftext|> | 23,396 |
<|im_start|>user
What is the greatest 5-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 9 respectively?
Answer Choices: (A) 56780 (B) 78910 (C) 97479 (D) 97918 (E) 97920<|im_end|>
<|im_start|>assistant
<think>
</think>
When you divide a positive integer by 10, the remainder will... | 95,725 |
<|im_start|>user
Given that a is the average (arithmetic mean) of the first nine positive multiples of six and b is the median of the first seven positive multiples of six, what is the ratio of a to b?
Answer Choices: (A) 5:4 (B) 10:13 (C) 5:6 (D) 13:10 (E) 4:3<|im_end|>
<|im_start|>assistant
<think>
</think>
The fir... | 60,537 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 1,454 |
<|im_start|>user
A certain car dealership offers its newest model in ten exterior and ten interior colors. If the five interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how ma... | 85,246 |
<|im_start|>user
A type W machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type W machines and 3 type B machines working together and independently to complete the job?
Answer Choices: (A) 1/5 (B) 29/35 (C) 5/6 (D) 35/29 (E) 35/12<|im_end|>
<|im_s... | 53,196 |
<|im_start|>user
If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 9 percent?
Answer C... | 14,888 |
<|im_start|>user
The average mark of a class of twenty five students is 66. If five students whose marks are 32,28, 30, 26 and 34 are removed , then find the average mark of the remaining students of the class.
Answer Choices: (A) 75 (B) 74 (C) 57 (D) 70 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp. To... | 16,044 |
<|im_start|>user
The value of (10^8-10^2)/(10^6-10^3) is closest to which of the following?
Answer Choices: (A) 1 (B) 10 (C) 10^2 (D) 10^3 (E) 10^4<|im_end|>
<|im_start|>assistant
<think>
</think>
Because the question asks for what value isclosestthe question invites approximation.
Let's look at the numerator:
10^8 -... | 68,760 |
<|im_start|>user
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
Answer Choices: (A) 7 (B) 9 (C) 18 (D) 11 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) yea... | 13,028 |
<|im_start|>user
Simplify: 500 x 500- 200 x 200
Answer Choices: (A) 761200 (B) 761400 (C) 761800 (D) 210000 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
(500)^2 - (200)^2 = (500 + 200) (500 - 200) = 700 x 300 = 210000.
The answer is D<|endoftext|> | 54,272 |
<|im_start|>user
The layers of the atmosphere correspond with what changes with altitude?
Answer choice: (A) temperature (B) friction (C) nitrogen (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
The atmosphere has layers. The layers correspond with how temperature changes with altitude. By understanding t... | 3,981 |
<|im_start|>user
Find the value of b from (15)^2 x 9^2 ÷ 356 = b.
Answer Choices: (A) 53.2 (B) 52.2 (C) 51.2 (D) 8.2 (E) 54.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. =(15)^2 x 9^2 ÷ 356= b
= 225 x 81 ÷ 356
= 51.2
C
The answer is C<|endoftext|> | 17,030 |
<|im_start|>user
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Answer Choices: (A) 3/41 (B) 2/41 (C) 9/42 (D) 3/37 (E) 4/49<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced th... | 21,170 |
<|im_start|>user
For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Answer Choices: (A) 26m (B) 32m (C) 24m (D) 28m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
This is a simple speed time problem. ... | 82,652 |
<|im_start|>user
Which law states that the rate of change of momentum of an object is directly proportional to the net force applied to it and occurs in the direction of the force?
Answer choice: (A) Newton's First Law of Motion. (B) Law of Universal Gravitation. (C) Law of Conservation of Energy. (D) Newton's Second L... | 207 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 677 |
<|im_start|>user
A library has an average of 510 visitors on sundays and 240 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?
Answer Choices: (A) 150 (B) 225 (C) 285 (D) 315 (E) 374<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the month begin with sund... | 32,035 |
<|im_start|>user
The vertex of a rectangle are (1, 0), (5, 0), (1, 1) and (5, 1) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
Answer Choices: (A) 1/2 (B) 2 (C) 1/6 (D) 3 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</thin... | 46,919 |
<|im_start|>user
The ages of two person differ by 20 years. If 4 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Answer Choices: (A) 30, 10 (B) 25, 5 (C) 29, 9 (D) 50, 30 (E) 20,10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let their ages be x and (x ... | 57,276 |
<|im_start|>user
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
Answer Choices: (A) 9 (B) 11 (C) 13 (D) 15 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
let the three integers be x, x+2, x+4
3x = 2(x+4) + 3 ==> 3x = 2x + 8 +3 ==> x = 11
so the ... | 73,282 |
<|im_start|>user
The ratio of flour to water to sugar in a recipe is 11:8:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 4 cups of water, how much sugar is required?
Answer Choices: (A) 5... | 71,160 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 186 m (B) 176 m (C) 120 m (D) 178 m (E) 187 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Leng... | 41,524 |
<|im_start|>user
The least umber of five digits which is exactly
divisible by 12,15 and 18 is?
Answer Choices: (A) 10000 (B) 10012 (C) 10015 (D) 10018 (E) 10080<|im_end|>
<|im_start|>assistant
<think>
</think>
Least number of five digits is 10000
L.C.Mof 12,15,18 s 180.
On dividing 10000 by 180,the remainder is 100.
... | 58,604 |
<|im_start|>user
If Thursday was the day after the day before yesterday five days ago, What is the least number of days ago when Sunday was three days before the day after tomorrow?
Answer Choices: (A) Two (B) Three (C) Four (D) Five (E) Six<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Day after the... | 62,916 |
<|im_start|>user
Which group of metals in the periodic table include elements such as sodium and potassium?
Answer choice: (A) alkali metals (B) igneous metals (C) actinides (D) lanthanides<|im_end|>
<|im_start|>assistant
<think>
</think>
The first step in the process of inductive reasoning is making specific observa... | 5,736 |
<|im_start|>user
Many carbohydrates can enter glycolysis, most often after conversion to what?
Answer choice: (A) glucose (B) sucrose (C) fructose (D) insulin<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,261 |
<|im_start|>user
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 78. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
Answer Choices: (A) 87 (B) 89 (C) 86 (D) 93 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Total score on 3 tests = 78*3 = 234... | 84,164 |
<|im_start|>user
Molds and yeasts are organisms in what kingdom?
Answer choice: (A) tissues (B) insects (C) aquatic (D) fungus<|im_end|>
<|im_start|>assistant
<think>
</think>
Fungi are eukaryotes in the Fungus Kingdom. Fungi include molds, which are multicellular, and yeasts, which are single-celled.
The answer is D... | 10,965 |
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