text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
The side of a rhombus is 24 m and length of one of its diagonals is 18 m. The area of the rhombus is?
Answer Choices: (A) 410.47 (B) 403.47 (C) 420.47 (D) 400.47 (E) 300.47<|im_end|>
<|im_start|>assistant
<think>
</think>
area of the rhombus = 1/2 * p * √4(a)2 - (p)2
a= 24 ; p = 18
A=1/2 * 18 *√4(24)... | 89,185 |
<|im_start|>user
Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team W, but each box of Team A’s has 60% fewer booklets than each box of Team W’s. Which of the following could be the total number of booklets distributed by the two groups?
Answer Choices: (A) 2,000 (B... | 75,466 |
<|im_start|>user
Pseudohypertrophic muscular dystrophy is an inherited disorder that causes gradual deterioration of what?
Answer choice: (A) nerves (B) brain (C) muscles (D) fluids<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 3,532 |
<|im_start|>user
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 91% of the products of M3 III are not defective. What is the percentage of defective in the stockpi... | 15,504 |
<|im_start|>user
There were two candidates in an election. Winner candidate received 54% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Answer Choices: (A) 776 (B) 1944 (C) 2199 (D) 2157 (E) 2125<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 54% L = 46%
54... | 26,330 |
<|im_start|>user
During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in... | 36,502 |
<|im_start|>user
A train passes a station platform in 38 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) 248 m (B) 240 m (C) 270 m (D) 765 m (E) 176 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (54 *... | 66,012 |
<|im_start|>user
A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/4rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what... | 9,615 |
<|im_start|>user
Two trains start from a certain place on two parallel tracks in the same directions. The speed of the trains are 45km/hr. and 40km/hr. respectively. The distance between the two trains after 45 minutes will be
Answer Choices: (A) 2 km 500 m (B) 2 km 750 m (C) 3 km 750 m (D) 3 km 250 m (E) None of these... | 69,769 |
<|im_start|>user
N* is defined as 0.5(N+10) for any number N. What is N, if ((N*)*)*=15?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
N*=0.5(N+10)
(N*)*=0.5(0.5N+5+10)= 0.25N+7.5
((N*)*)*=0.5(0.25N+7.5+10)= 0.125N+8.75
we know that ((N*)*)*=15
0.125N+8.75=15
0.12... | 4,966 |
<|im_start|>user
A chair is bought for Rs.600/- and sold at a loss of 5% find its selling price
Answer Choices: (A) s.570/- (B) s.550/- (C) s.560/- (D) s.590/- (E) s.580/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 600 (100 * 6 = 600)
95 % ------> 540 (95 * 6 = 570)
Selling price = Rs.540/-
A)
The... | 85,400 |
<|im_start|>user
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples F did each person get before 45 people joined the feast?
Answer Choices: (A) 20. (B) 21. (C) 22. (D) 23. (E) 24.<|im_end|>
<|im_start|>ass... | 51,411 |
<|im_start|>user
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's sha... | 92,571 |
<|im_start|>user
If p#q denotes the least common multiple of p and q, then P=((12#16)#(18#24)) = ?
Answer Choices: (A) 216 (B) 180 (C) 144 (D) 108 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient meth... | 95,684 |
<|im_start|>user
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Answer Choices: (A) ... | 78,271 |
<|im_start|>user
A can do a work in 22 days. B is 30% more efficient than A. How many days does B alone take to do the same job?
Answer Choices: (A) 222/13 (B) 221/13 (C) 220/13 (D) 219/13 (E) 218/13<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of times taken by A and B = 130:100 = 13:10
suppose B alone to ... | 384 |
<|im_start|>user
Which metal is not a solid even at room temperature?
Answer choice: (A) iron (B) mercury (C) copper (D) aluminum<|im_end|>
<|im_start|>assistant
<think>
</think>
A metal is an element that is a good conductor of heat and electricity. Metals are also malleable, which means that they can be hammered in... | 6,609 |
<|im_start|>user
A baseball card decreased in value 30% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Answer Choices: (A) 28% (B) 30% (C) 32% (D) 36% (E) 37%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the initial value of baseball c... | 43,828 |
<|im_start|>user
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?
Answer Choices: (A) 1287 (B) 2887 (C) 2000 (D) 1129 (E) 1192<|im_end|>
<|im_start|>assistant
<think>
</think>
Let money invested by Raghu ... | 89,047 |
<|im_start|>user
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 50 percent.
Answer Choices: (A) 145 (B) 150 (C) 175 (D) 160 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
1 hr =20 percent.Thus 15 min=5 percent .Now to charge 50 percent 150 min.
T... | 92,621 |
<|im_start|>user
If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Answer Choices: (A) 120 (B) 30 (C) 24 (D) 11 (E) 6<|im_end|>
<|im_start|>as... | 7,617 |
<|im_start|>user
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Answer Choices: (A) 1:2 (B) 1:7 (C) 1:9 (D) 1:5 ... | 57,443 |
<|im_start|>user
Where do most of the digestion reactions occur?
Answer choice: (A) liver (B) large intestine (C) mouth (D) small intestine<|im_end|>
<|im_start|>assistant
<think>
</think>
Most of the digestion reactions occur in the small intestine.
The answer is D<|endoftext|> | 4,278 |
<|im_start|>user
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 wee... | 70,480 |
<|im_start|>user
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Answer Choices: (A) 1323 (B) 9261 (C) 2788 (D) 2999 (E) 1722<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 8000(21/20)3 = 9261
The answer is B<|endoftext|> | 64,779 |
<|im_start|>user
If 4a – 2b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
Answer Choices: (A) 3 (B) 9 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
when we look at the two equations, we can relize some similarity, so lets work on it..
3a – 2b – 2c = 32 can be written as √3a^2-√... | 96,539 |
<|im_start|>user
A person is saving money to purchase a car. He earns £4000 per month and saves £500 to buy the car. If he needs £45000 to buy his dream car. How much money he will earn, before he saves enough money to buy the car?
Answer Choices: (A) A - 352000 (B) B - 356000 (C) C - 360000 (D) D - 348000 (E) E - 3... | 82,418 |
<|im_start|>user
The maximum gap between two successive leap year is?
Answer Choices: (A) 2 (B) 8 (C) 9 (D) 6 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
This can be illustrated with an example.
Ex: 1896 is a leap year.The next leap year comes in 1904 (1900 is not a leap year).
The answer is B... | 40,152 |
<|im_start|>user
What is the sum of all digits for the number 10^28 - 44?
Answer Choices: (A) 233 (B) 245 (C) 257 (D) 270 (E) 285<|im_end|>
<|im_start|>assistant
<think>
</think>
10^28 is a 29-digit number: 1 followed by 28 zeros.
10^28 - 44 is a 28-digit number: 26 9's and 56 at the end.
The sum of the digits is 26*... | 47,355 |
<|im_start|>user
What is the rate percent when the simple interest on Rs.2000 amount to Rs.320 in 4 Years?
Answer Choices: (A) 4.5% (B) 4.25% (C) 4% (D) 4.3% (E) 4.1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Interest for 1 year = 320/4 = 80
Interest on Rs 2000 p/a = 80
interest rate = 80/2000*100 = 4%
The ans... | 7,619 |
<|im_start|>user
Two trains 110 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10.9 (B) 10.7 (C) 10.3 (D) 10.8 (E) 9.72<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative spe... | 74,905 |
<|im_start|>user
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5 hours, then the distance covered at 40 kmph is
Answer Choices: (A) 130 km (B) 120km (C) 100km (D) 140km (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 35,301 |
<|im_start|>user
What is the name of the "point" that refers to the temperature at which water vapor condenses?
Answer choice: (A) melting point (B) brine point (C) water point (D) dew point<|im_end|>
<|im_start|>assistant
<think>
</think>
You’ve probably noticed dew on the grass on a summer morning. Why does dew for... | 8,831 |
<|im_start|>user
Solve for x: 2x – y = (3/4)x + 6.
Answer Choices: (A) (y + 6) /5 (B) 4(y + 6) /5 (C) (y + 6) (D) 4(y - 6) /5 (E) 5/4(y-6) <|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
2x – y = (3/4)x + 6.
or, 2x - (3/4)x = y + 6.
or, (8x -3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y... | 7,005 |
<|im_start|>user
A worker's daily wage is increased by 40% and the new wage is $28 per day. What was the worker's daily wage before the increase?
Answer Choices: (A) $18 (B) $20 (C) $22 (D) $24 (E) $25<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the daily wage before the increase.
1.4x = $28
x = $20
The... | 26,406 |
<|im_start|>user
In a diving competition, each diver has a 40% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one di... | 29,291 |
<|im_start|>user
What is the perimeter of a triangle with sides 5 and 3 that has the maximum possible area?
Answer Choices: (A) 8 + √34 (B) 7 + √26 (C) 12 (D) 8 + 3√5 (E) 8 + 3√6<|im_end|>
<|im_start|>assistant
<think>
</think>
We can maximize the area of the triangle by making these two sides the base and the height... | 49,542 |
<|im_start|>user
The average age of a committee of 12 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Answer Choices: (A) 38.7 years (B) 38 years (C) 36 years (D) 35 years (E) 34 years<|im_end|>
<|im_start|>assistant
... | 10,962 |
<|im_start|>user
Two spherical balls lie on the ground touching. If one of the balls has a radius of 6 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball (in centimeters)?
Answer Choices: (A) 12 (B) 16 (C) 20 (D) 24 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
A st... | 69,083 |
<|im_start|>user
A car covers a distance of 624 km in 4 hours. Find its speed?
Answer Choices: (A) 104 (B) 277 (C) 156 (D) 269 (E) 213<|im_end|>
<|im_start|>assistant
<think>
</think>
624/4 = 156 kmph
The answer is C<|endoftext|> | 69,675 |
<|im_start|>user
What long molecules are composed of chains of units called monomers?
Answer choice: (A) complexes (B) microbes (C) drummers (D) polymers<|im_end|>
<|im_start|>assistant
<think>
</think>
Polymers are long molecules composed of chains of units called monomers.
The answer is D<|endoftext|> | 1,424 |
<|im_start|>user
What is the greatest number of three digits which is divisible by 10, 20, 30 ?
Answer Choices: (A) 960 (B) 970 (C) 980 (D) 990 (E) 965<|im_end|>
<|im_start|>assistant
<think>
</think>
Greatest number of 3 digits = 999
LCM of 10,20,30 = 60
999 ÷ 60= 16, remainder = 39
Hence, greatest number of four di... | 70,847 |
<|im_start|>user
What consists of two or more elements and forms as a result of a chemical reaction?
Answer choice: (A) molecule (B) particle (C) protein (D) compound<|im_end|>
<|im_start|>assistant
<think>
</think>
Living things consist of matter, which can be an element or a compound. A compound consists of two or ... | 7,422 |
<|im_start|>user
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,585.75. How many boxes of plain cookies did she sell?
Answer Choices: (A) 0 (B) 233 (C) ... | 75,479 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 5,620 |
<|im_start|>user
A rectangular grass field is 70 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Answer Choices: (A) s.1350 (B) s.1300 (C) s.1328 (D) s.1397 (E) s.1927<|im_end|>
<|im_start|>assistant
<think>
</think>
Area =... | 63,905 |
<|im_start|>user
A batsman makes a score of 100 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Answer Choices: (A) 40 (B) 50 (C) 62 (D) 45 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the average after 11th inning = x
Then, average after 10th inning = x... | 40,047 |
<|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... | 1,647 |
<|im_start|>user
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time requ... | 95,631 |
<|im_start|>user
How many ltrs of water must beadded to 16 ltrs of milk and water containing 10% water to make it 20% water in it?
Answer Choices: (A) 1 liter (B) 2 liter (C) 3 liter (D) 4 liter (E) 4.5 liter<|im_end|>
<|im_start|>assistant
<think>
</think>
By rule of alligation,
% Concentration
of water in pure wate... | 68,821 |
<|im_start|>user
What prevents solutes that have accumulated in the xylem from leaking back into the soil solution?
Answer choice: (A) the endodermis (B) the exoskeleton (C) the exodermis (D) the altostratus<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 6,583 |
<|im_start|>user
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
Answer Choices: (A) 6! / 2! (B) 3! * 3! (C) 4! / 2! (D) (4! * 3!) / 2! (E) (3! * 3!) / 2!<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatory Answer
Step 1: Group the vowels as on... | 8,402 |
<|im_start|>user
The ratio of scores of two football teams is 3 to 4. If each of the team had scores 5 more, what is the ratio of these two new scores ?
Answer Choices: (A) 3/4 (B) 8/9 (C) 18/19 (D) 23/24 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
3/4 = 3x/... | 89,938 |
<|im_start|>user
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
A.
B.
C.
D.
E.
Answer Choices: (A) 15/64 (B) 30/64 (C) 1/2 (D) 1/4 (E) 52/64<|im_end|>
<|im_start|>assistant
<think>
</think>
chances of rain on exact... | 48,092 |
<|im_start|>user
Just about all life processes depend on what?
Answer choice: (A) air (B) water (C) carbon (D) meat<|im_end|>
<|im_start|>assistant
<think>
</think>
Water is involved in many biochemical reactions. As a result, just about all life processes depend on water.
The answer is B<|endoftext|> | 4,893 |
<|im_start|>user
Janexi covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Answer Choices: (A) 1 hour 45 minutes (B) 2 hours (C... | 35,264 |
<|im_start|>user
Solve: 387 x 387 + 114 x 114 + 2 x 387 x 114
Answer Choices: (A) 251001 (B) 251000 (C) 251010 (D) 250101 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
= (387)2+ (114)2+ (2 x 387x 114)
= a2 + b2 + 2ab, where a = 387,b=114
= (a+b)2 = (387 + 114 )2 = (501)2 = 251001.
The answer is A<... | 59,223 |
<|im_start|>user
The radius of a circle is increased by 1%. Find how much % does its area increases?
Answer Choices: (A) 1.01% (B) 5.01% (C) 3.01% (D) 2.01% (E) 4.01%<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
The answer is D<|endoftext|> | 72,846 |
<|im_start|>user
If the a radio is sold for rs 490 and sold for rs 465.50.find loss percentage.
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
cost price=rs 490,selling price= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
The answer is B<|... | 59,467 |
<|im_start|>user
A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Answer Choices: (A) 8 (B) 7 (C) 6 (D) 5 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, we have (3 + 11 + ... | 18,963 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 356 (B) 278 (C) 127 (D) 279 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
The answer i... | 30,916 |
<|im_start|>user
The labeled price of a table is Rs. 8,000. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
Answer Choices: (A) Rs. 5758 (B) Rs. 6195 (C) Rs. 6608 (D) Rs. 7200 (E) None of these<|im_end|>
<|im_start|>assista... | 10,992 |
<|im_start|>user
Which of the following ratios is greatest?
Answer Choices: (A) 7 : 15 (B) 15 : 23 (C) 17 : 25 (D) 21 : 29 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
7/15 = 0.466,
15/23 = 0.652,
17/25 = 0.68<,br/> 21/29 = 0.724,
Clearly, 0.724 is greatest and therefore, 21 : 29 is greatest.
The an... | 936 |
<|im_start|>user
The market value of a certain machine decreased by 10 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Answer Choices: (A) $8,000 (B) $5,600 (C) $3,200 (D) $6,400 (E) $800<|im_end|>
<|im_start|>... | 77,203 |
<|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... | 4,428 |
<|im_start|>user
If the average (arithmetic mean) of five consecutive negative integers is 8k – 1, what is the difference between the greatest and least of the five integers?
Answer Choices: (A) 4K (B) 4k^2 -4k (C) 4-4k (D) 4 (E) 4k+4<|im_end|>
<|im_start|>assistant
<think>
</think>
(n-2 + n - 1 + n + n + 1 + n + 2)/... | 30,234 |
<|im_start|>user
On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5 ?
Answer Choices: (A) 0 (B) 1 (C) 3 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remain... | 9,664 |
<|im_start|>user
Which is the lightest of the widely used structural metals?
Answer choice: (A) magnesium (B) Metal (C) calcium (D) potassium<|im_end|>
<|im_start|>assistant
<think>
</think>
low, the two metals with the highest ionization energies (beryllium and magnesium) do form compounds that exhibit some covalent... | 7,484 |
<|im_start|>user
A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Answer Choices: (A) 45 kmph (B) 50 kmph (C) 55 kmph (D) 60 kmph (E) 70 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the speed... | 6,863 |
<|im_start|>user
There is a biased dice..wen d dice is thrown. probability of occurrence of odd numbers is thrice that of even numbers. If the dice is thrown twice..find the probability of the products of the numbers appeared being odd.
Answer Choices: (A) 8/16 (B) 9/16 (C) 10/16 (D) 11/16 (E) 7/16<|im_end|>
<|im_start... | 66,113 |
<|im_start|>user
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 40, 68 kmph (B) 40, 30 kmph (C) 90, 60 kmph (D) 40, 60 kmph (E) 60, 20 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 40 + 20 = 60... | 61,529 |
<|im_start|>user
The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability W that the next couple the maitre 'd seats will not order dessert?
Answer Choices: (A) 20% (B) 25%... | 31,364 |
<|im_start|>user
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Answer Choices: (A) 187 m (B) 787 m (C) 877 m (D) 600 m (E) 788 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance covered by Am... | 60,722 |
<|im_start|>user
Profit of one hospital is 320 percent of the cost. If the cost increases by 25 % but the SP is same, approximately what % of the SP is the profit?
Answer Choices: (A) 40% (B) 45% (C) 50% (D) 70% (E) 75%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. =... | 66,701 |
<|im_start|>user
In a camp, there is a meal for 160 men or 220 children. If 160 children have taken the meal, how many men will be catered to with remaining meal?
Answer Choices: (A) 41 (B) 16 (C) 15 (D) 14 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
B
16
There is a meal for 200 children.
180 children hav... | 83,058 |
<|im_start|>user
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 9 miles?
Answer Choices: (A) 27/5 (B) 26/5 (C) 23/5 (D) 22/5 (E) 21/5<|im_end|>
<|im_start|>assistant
<think>
</think>
1 km is approxmately equal to 0.6 miles
So 9 km = 9*0.6 = 5.4 miles . M... | 41,339 |
<|im_start|>user
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Answer Choices: (A) 80 days (B) 100 days (C) 120 days (D) 110 days (E) 200 days... | 65,342 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 2,005 |
<|im_start|>user
How many revolutions will it take for a circular wheel of 1.52 m radius to travel a distance of 1 km?
Answer Choices: (A) 7554.2 (B) 3554.2 (C) 1554.2 (D) 9454.2 (E) 9554.3<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 1.52 * x = 9554.3
x = 1000
The answer is E<|endoftext|> | 78,820 |
<|im_start|>user
By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 400 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Answer Choices: (A) 1.58% (B) 1.98% (C) 10% (D) 15% (E) 19%<|im_end|>... | 47,314 |
<|im_start|>user
The price of rice falls by 10%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
Answer Choices: (A) 5 kg (B) 15 kg (C) 25 kg (D) 30 kg (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Let Rs. 100 be spend on rice initially for 20 ... | 86,096 |
<|im_start|>user
There are 437 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Answer Choices: (A) 152 (B) 253 (C) 57 (D) 171 (E) 181<|im_end|>
<|im_start|>assistant
<think>
</think>
Given,
The ratio of the doctors to the nurses is... | 88,104 |
<|im_start|>user
[(13/2 ÷ 1/2 × 13/2)]/[(13/2 × 1/2 ÷ 13/2)] = ?
Answer Choices: (A) 159 (B) 149 (C) 169 (D) 179 (E) 189<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
[(13/2 ÷ 1/2 × 13/2)]/[(13/2 × 1/2 ÷ 13/2)]
= [13/2 × 2/1 × 13/2]/[13/2 × 1/2 × 2/13]
= 169/2 / 1/2 = 169/2 x 2/1 = 169
The answer is C... | 69,629 |
<|im_start|>user
A man can row a boat at 20 kmph in still water. If the speed of the stream is 9 kmph, what is the time taken to row a distance of 60 km downstream?
Answer Choices: (A) 30/18 hours (B) 37/13 hours (C) 80/13 hours (D) 30/13 hours (E) 60/29 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed do... | 29,045 |
<|im_start|>user
In the next Cricket World Cup T-20, Team Q has decided to score 200 runs only through 4s and 6s. In how many ways can the Team Q score these 200 runs?
Answer Choices: (A) 13 (B) 15 (C) 16 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Team Q can score a maximum of 50 fours and a minim... | 83,234 |
<|im_start|>user
You collect balls. Suppose you start out with 105. John gives you another 100 balls. How many balls do you have at the end?
Answer Choices: (A) 205 (B) 105 (C) 100 (D) 502 (E) 501<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Start with 105 balls.
John gives you 100 balls: 105 + 100 = 205... | 82,317 |
<|im_start|>user
The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
Answer Choices: (A) 12 (B) 75 (C) 88 (D) 54 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (100 + 80)/2
= 90 kmph
The answer is E<|endoftext|> | 43,211 |
<|im_start|>user
If a+b=−6, and a=10/b, what is the value of a^2+b^2?
Answer Choices: (A) 22 (B) 24 (C) 16 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
a^2 + b^2 should make you think of these formulas:
(a+b)(a+b) = a^2+b^2+2ab
We already know (a+b) = -6 and a*b = 10
(a+b)(a+b) = (-6)(-6) = a^2+b^2+... | 71,443 |
<|im_start|>user
Given that x = 2^b – (8^33 + 16^5), which of the following values for b yields the lowest value for |x|?
Answer Choices: (A) 97 (B) 98 (C) 99 (D) 100 (E) 119<|im_end|>
<|im_start|>assistant
<think>
</think>
8^33 + 16^5 = 2^99 + 2^20
Compared to 2^99, the value of 2^20 is negligible.
2^99 - (2^99 +2^2... | 50,980 |
<|im_start|>user
if you invested $25000 and received $35251 after 10 years. what was the interest rate?
Answer Choices: (A) 0.15% (B) 0.25% (C) 0.04% (D) 0.50% (E) 0.40%<|im_end|>
<|im_start|>assistant
<think>
</think>
P=25000
I= 35251-25000=10251
t=10 years
10251=(25000)(r)(10)
10251=250000r
10251/250000
=.04
The an... | 23,451 |
<|im_start|>user
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 39 (B) 27 (C) 30 (D) 98 (E) 287<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 + 25)/2 = 30
The answer is C<|endoftext|> | 3,944 |
<|im_start|>user
Where are the two tonsils located?
Answer choice: (A) sinus (B) nose (C) tooth (D) throat<|im_end|>
<|im_start|>assistant
<think>
</think>
The two tonsils are located on either side of the throat. They trap pathogens that enter the body through the mouth or nose.
The answer is D<|endoftext|> | 6,821 |
<|im_start|>user
What type of oil is being explored to replace petroleum products in lubricants?
Answer choice: (A) essential oil (B) diesel (C) whale oil (D) vegetable<|im_end|>
<|im_start|>assistant
<think>
</think>
Vegetable oils are being explored for a variety of uses in which they could replace petroleum produc... | 5,704 |
<|im_start|>user
A is 16th position and 29th from down of the people who passed. 5 failed , 6 didn't give . how many boys are there in the class?
Answer Choices: (A) 52 (B) 53 (C) 54 (D) 55 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
A is 16th position, means = 15 + A
29th from down, means = A + 28
Total ... | 40,028 |
<|im_start|>user
(A% of 6B + B% of A) is equal to ?
Answer Choices: (A) A% of B (B) B% of A (C) 7% of AB (D) AB% of 3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
A% of 6B + B% of A =6AB/100 + AB/100
= 7AB/100 = 7% of AB
Correct Option: C
The answer is C<|endoftext|> | 28,656 |
<|im_start|>user
A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Answer Choices: (A) 24hrs (B) 60hrs (C) 70hrs (D) 80hrs (E) 90hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
time tak... | 17,239 |
<|im_start|>user
A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?
Answer Choices: (A) 2.6 (B) 2.2 (C) 2.5 (D) 2 (E) 3<|im_end|>
<|im_start|>assistan... | 5,635 |
<|im_start|>user
A shopping mall give 40% sale on T-shirts and increase 25% price of pants. The cost price of pants and T-shirts are 1500 and 400 respectively. Overall they makes a?
Answer Choices: (A) 200 (B) 250 (C) 300 (D) 215 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the SP of the pants and T-s... | 51,400 |
<|im_start|>user
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are ... | 71,445 |
<|im_start|>user
What happens when development of nervous system is disturbed?
Answer choice: (A) vascular disorders (B) muscular disorders (C) neurodevelopmental disorders (D) neurochemical disorders<|im_end|>
<|im_start|>assistant
<think>
</think>
Neurodevelopmental Disorders Neurodevelopmental disorders occur when... | 3,202 |
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