text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.
Answer Choices: (A) 87.8% (B) 87.9% (C) 37.8% (D) 87.7% (E) 22.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
otal number of fruits shopkeeper ... | 7,986 |
<|im_start|>user
In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
Answer Choices: (A) 16/20 (B) 9/10 (C) 2/5 (D) 3/5 (E) ½<|im_end|>
<|im_start|>assistant
<think>
</think>
P(at least one green) = 1 - P(no gr... | 21,160 |
<|im_start|>user
If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^3?
Answer Choices: (A) 0 (B) 1 (C) 3 (D) 9 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Using cyclicity rule of number 9
199,999^2 will have units digit as 1
991,999^3 will have units digit as 9
Thus r2 + s... | 13,296 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Minerals are the building blocks of rocks. A rock can be made of one or more minerals.
Minerals and rocks have the following properties:
Property | Mineral | Rock
It is a solid. | Yes | Yes
It is formed in nature. | Yes | Ye... | 5,542 |
<|im_start|>user
8 people decided to split the restaurant bill evenly. If the bill was $314.12 dollars, how much money did they 1 cent is the smallest unit?
Answer Choices: (A) $314.16 (B) $314.17 (C) $314.18 (D) $314.19 (E) $314.20<|im_end|>
<|im_start|>assistant
<think>
</think>
If the last three digits of a whole ... | 70,087 |
<|im_start|>user
Insert the missing number.
3, 5, 6,10 , 9, 15, 12, 20, 15, (....)
Answer Choices: (A) 25 (B) 20 (C) 10 (D) 30 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
There are two series, beginning respectively with 3 and 5. In one 3 is added and in another 5 is added.
The next number is... | 72,124 |
<|im_start|>user
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Answer Choices: (A) 31.6 (B) 31.0 (C) 31.6 (D) 31.1 (E) 31.5<|im_end|>
<|im_start|>assistant
<think>
</think>
100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4 = 31.6
The answer is C<|endoftext|> | 76,381 |
<|im_start|>user
A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 12 km, if the person completes half of the distance by walking and the other half by running?
Answer Choices: (A) 1.25 (B) 1.75 (C) 2.25 (D) 2.75 (E) 3.25<|im_end|>
<|im_st... | 92,128 |
<|im_start|>user
The average of marks obtained by 120 boys was 36. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Answer Choices: (A) 105 (B) 110 (C) 120 (D) 130 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of ... | 12,159 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 604 |
<|im_start|>user
A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed .
Answer Choices: (A) 30 km/hr (B) 40 km/hr (C) 55 km/hr (D) 60 km/hr (E) 70 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
relat... | 26,637 |
<|im_start|>user
A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half
Answer Choices: (A) 15 mins (B) 20 mins (C) 25 mins (D) 30 mins ... | 40,880 |
<|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... | 3,483 |
<|im_start|>user
A father was as old as his son's present at the time of your birth. If the father's age is 34 years now, the son's age 5years back was?
Answer Choices: (A) 10 years (B) 12 years (C) 14 years (D) 16 years (E) 20 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x year... | 22,488 |
<|im_start|>user
There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?
Answer Choices: (A) 9!*2! (B) 7!*2! (C) 6!*1! (D) 2!*1! (E) 5!*1!<|im_end|>
<|im_start|>assistant
<think>
</think... | 73,363 |
<|im_start|>user
A number x is 6 times another number y. The percentage that y is less than x is
Answer Choices: (A) 12.5% (B) 83.3% (C) 80% (D) 11% (E) 1%<|im_end|>
<|im_start|>assistant
<think>
</think>
Say y=1 and x=6.
Then y=1 is less than x=6 by (6-1)/6*100=5/6*100=83.3%.
The answer is B<|endoftext|> | 27,678 |
<|im_start|>user
the egg vendor calls on his 1st customer and sells his half his eggs and half an egg.to the 2nd customer he sells half of what he had left and half an egg,and to the 3rd customer he sells half of what he had then left and half an egg.by the way he did not break any eggs.in the end 3 eggs were remainig.... | 44,971 |
<|im_start|>user
How many possible ways are there to select 2 stocks at random from 9 stocks?
Answer Choices: (A) 36 (B) 38 (C) 40 (D) 42 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
9C2 = 36
The answer is A<|endoftext|> | 75,333 |
<|im_start|>user
There are 30 socks in a bag. 30% is in blue color. What is the probability to take two blue socks?
Answer Choices: (A) 11/145 (B) 12/145 (C) 13/145 (D) 14/145 (E) 22/145<|im_end|>
<|im_start|>assistant
<think>
</think>
out of 30% 30 socks are blue => out of 30 9 socks are blue in color.
probability o... | 63,050 |
<|im_start|>user
In the infinite sequence 27, 36, 45, 54, 63, . . . , where each term is 9 greater than the previous term, the 55th term is
Answer Choices: (A) 783 (B) 513 (C) 198 (D) 963 (E) 741<|im_end|>
<|im_start|>assistant
<think>
</think>
T(n) = a + (n-1) d
Here d =9, a=27, n=55
Solving we get T(n) = 513.
The a... | 38,258 |
<|im_start|>user
The average monthly salary of 8 workers and one supervisor in a factory was $$430. When the supervisor, whose salary was $$870 per month, retired, a new person was appointed and then the average salary of 9 people was $$400 per month. The salary of the new supervisor is:
Answer Choices: (A) 233 (B) 600... | 56,866 |
<|im_start|>user
Brand A coffee costs twice as much as brand B coffee. If a certain blend is 1/4 brand A and 3/4 brand B. what fraction of the cost of the blend is Brand A?
Answer Choices: (A) 1/3 (B) 2/5 (C) 1/2 (D) 2/3 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume Cost of A= Ca = 200 , Cost of B =... | 67,092 |
<|im_start|>user
What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 11-sided polygon)?
Answer Choices: (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/8 (E) 1/11<|im_end|>
<|im_start|>assistant
<think>
</think>
From any vertex, there are two vertices on sides, which do not m... | 96,987 |
<|im_start|>user
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 3 minutes?
Answer Choices: (A) 36 (B) 54 (C) 162 (D) 216 (E) 324<|im_end|>
<|im_start|>assistant
<think>
</think>
Direct Relationship:-
1 standard Veggiematik machine - 36 Car... | 15,019 |
<|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.
Verbal irony involves saying one thing but implying something very different. People often use v... | 4,772 |
<|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... | 4,133 |
<|im_start|>user
The navy pilots are practicing flight formations. 200 pilots are practicing flying in rectangles. They want to make a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 5 and no more than 40, how many different combinations of rect... | 46,311 |
<|im_start|>user
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Answer Choices: (A) 7/9 (B) 5/7 (C) 11/7 (D) 8/9 (E) 5/12<|im_end|>
<|im_start|>assistant
<think>
</think>
Here n(S)=(6*6)=36
let E=event of getting a total more than 7
={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6)... | 41,075 |
<|im_start|>user
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is?
Answer Choices: (A) s.4000 (B) s.7200 (C) s.6000 (D) s.5750 (E) s.6750<|im_end|>
<|im_start... | 66,585 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the ip sound.
The words lake and make rhyme. They both end with the ake sound.
The words tip and lake don't rhyme. They e... | 5,518 |
<|im_start|>user
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is
Answer Choices: (A) 400 m (B) 450 m (C) 560 m (D) 600 m (E) 680 m<|im_end|... | 48,539 |
<|im_start|>user
What is the term for geological activity that occurs within a plate?
Answer choice: (A) perennials activity (B) disruption activity (C) intraplate activity (D) deformation activity<|im_end|>
<|im_start|>assistant
<think>
</think>
Not all geological activity is found at plate boundaries. Activity with... | 7,176 |
<|im_start|>user
Different feeding "positions" in a food chain or web are associated with what kinds of levels?
Answer choice: (A) benthic (B) autotrophic (C) heptic (D) trophic<|im_end|>
<|im_start|>assistant
<think>
</think>
The different feeding positions in a food chain or web are called trophic levels.
The answe... | 5,464 |
<|im_start|>user
A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographi... | 2,067 |
<|im_start|>user
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1350 as rent for parking his cars, what is the total rent paid by all th... | 40,870 |
<|im_start|>user
A man is 28 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Answer Choices: (A) 23 years (B) 22 years (C) 21 years (D) 20 years (E) 26 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let present age of the son =x years
Then,... | 87,756 |
<|im_start|>user
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 22% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Answer Choices: (A) 10.5% (B) 12.8% (C)... | 48,002 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 1,788 |
<|im_start|>user
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes jerry can make using this recipe?
Answer Choices: (A) 5 ... | 61,471 |
<|im_start|>user
The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs 3. The ratio of two selling prices is
Answer Choices: (A) 51:53 (B) 52:53 (C) 53:54 (D) 54:55 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the Cost price of article is Rs... | 93,269 |
<|im_start|>user
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Answer Choices: (A) 280 (B) 579 (C) 500 (D) 400 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
C
110% of S.P. = 6... | 7,333 |
<|im_start|>user
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Answer Choices: (A) 9 (B) 10 (C) 11 (D) 14 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
B
10
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtra... | 52,424 |
<|im_start|>user
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Answer Choices: (A) Rs.420.20 (B) Rs.319.06 (C) Rs.306.04 (D) Rs.294.75 (E) Rs.295.75<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 5000(51/50)3
= 5306.04
5000
-----------
306.04
The answer is C<|endoftext|> | 25,632 |
<|im_start|>user
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 3.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Answer Choices: (A) 5729 (B) 5040 (C) 2889 (D) 287... | 72,410 |
<|im_start|>user
Angiosperm success is a result of two novel structures that ensure reproductive success: flowers and this?
Answer choice: (A) food (B) ants (C) fruit (D) glass<|im_end|>
<|im_start|>assistant
<think>
</think>
Angiosperm success is a result of two novel structures that ensure reproductive success: flo... | 5,882 |
<|im_start|>user
How many different 4 letter combinations can be created from the letters M,N,O, and P?
Answer Choices: (A) 4 (B) 16 (C) 32 (D) 96 (E) 256<|im_end|>
<|im_start|>assistant
<think>
</think>
This is a case of number of arrangements possible with repetition.
Thus you have 4 options each for the 1st,2nd,3r... | 93,759 |
<|im_start|>user
2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/2 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Answer Choices: (A) 1/3 (B) 2/5 (C) 3/10 (D) 3... | 79,519 |
<|im_start|>user
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Answer Choices: (A) 2:5 (B) 2:7 (C) 2:2 (D) 2:1 (E) 2:9<|im_end|>
<|im_start|>assistant
<think>
</think>
The volume of the cone = (1/3)πr2h
Only radius (r) and height... | 53,070 |
<|im_start|>user
In track last week, the boys ran sixteen laps. The girls ran four more
laps. Each lap is a quarter of a mile. How many miles did the girls run?
Answer Choices: (A) 3 miles (B) 2 miles (C) 5 miles (D) 9 miles (E) 7 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
The girls ran 16 + 4 = 20 laps. ... | 2,050 |
<|im_start|>user
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Answer Choices: (A) 16 seconds (B) 15 seconds (C) 14 seconds (D) 12 seconds (E) 13 seconds<|im_end|>
<|im_start|>assistant
<think>
... | 21,339 |
<|im_start|>user
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol?
Answer Choices: (A) 7/2 (B) 5 (C) 20/3 (D) 100/19 (E) 39/4<|im_end|>
<|im_start|>assistant
<think>
</think>
20% Alcohol solution means; in t... | 20,449 |
<|im_start|>user
If log 27 = 1.491, then the value of log 9 is:
Answer Choices: (A) 0.934 (B) 0.994 (C) 0.954 (D) 0.958 (E) 0.987<|im_end|>
<|im_start|>assistant
<think>
</think>
log 27 = 1.491
log (33 ) = 1.491
3 log 3 = 1.491
log 3 = 0.497
log 9 = log(32 ) = 2 log 3 = (2 x 0.497) = 0.994.
The answer is B<|endoftext... | 72,464 |
<|im_start|>user
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Answer Choices: (A) 2 : 3 (B) 4 : 3 (C) 6 : 7 (D) 9 : 16 (E) None<|im_end|>
<|im_start... | 28,406 |
<|im_start|>user
A charity collected $1,299 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
Answer Choices: (A) 60 (B) 64 (C) 66 (D) 68 (E) 69<|im_end|>
<|im_start|>assistant
<think>
</think>
Min fund = 20
Total = 1299
The clos... | 23,145 |
<|im_start|>user
H(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point H?
Answer Choices: (A) (1, 2) . (B) (2, 0) . (C) (0, -2) . (D) (-2, 0) . (E) (2, 2) .<|im_end|>
<|im_start|>assistant
<think>
</think>
A quick glance at the options, H... | 55,364 |
<|im_start|>user
If there are 200 questions in a 3 hr examination. Among these questions are 10 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Answer Choices: (A) 17.14286 min (B) 62 min (C) 70.1346 min (D) 74 min... | 78,361 |
<|im_start|>user
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer Choices: (A) $ 130 (B) $ 145 (C) $ 115 (D) $ 120 (E) $ 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 1st paycheck be x (integer).
Mrs. R... | 43,800 |
<|im_start|>user
If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?
Answer Choices: (A) 22 (B) 40 (C) 28 (D) 21 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
A.M. of 75 numbers = 35
Sum of 75 numbers = 75 * 35 = 2625
Total in... | 68,226 |
<|im_start|>user
A table is bought for Rs.950/- and sold at Rs.800/- find the loss percentage
Answer Choices: (A) 10% Loss (B) 10% Gain (C) 15% Loss (D) 20% Gain (E) 30% Gain<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = (Selling price ~ Cost price)/Cost price * 100
= (800 ~ 950)/950 = 15% Loss
C
The ans... | 91,464 |
<|im_start|>user
Rs.100 amounts to Rs.320 in 4 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Answer Choices: (A) 246 (B) 650 (C) 110 (D) 240 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
(100*4*3)/100=12
100+ 12 = 112
The answer is C<|endoftext|> | 92,844 |
<|im_start|>user
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Answer Choices: (A) 140 (B) 150 (C) 160 (D) 170 (E)... | 70,639 |
<|im_start|>user
What is 15 percent of 68?
Answer Choices: (A) 7.6 (B) 8.7 (C) 9.1 (D) 10.2 (E) 11.6<|im_end|>
<|im_start|>assistant
<think>
</think>
(15/100) * 68 = 10.2
The answer is D<|endoftext|> | 2,842 |
<|im_start|>user
In a class, there are 24 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
Answer Choices: (A) 6 (B) 12 (C) 18 (D) 16 (E) 26<|im_end|>
<|im_star... | 50,859 |
<|im_start|>user
In order to obtain an income of Rs. 1250 from 10% stock at Rs. 210, one must make an investment of
Answer Choices: (A) 5363 (B) 26250 (C) 28678 (D) 29002 (E) 2732<|im_end|>
<|im_start|>assistant
<think>
</think>
To obtain Rs. 10, investment
= Rs. 210.
To obtain Rs. 1250, investment =
= Rs. 26250.
The... | 57,835 |
<|im_start|>user
The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Answer Choices: (A) 4 (B) 5 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 11 = 11 * 55 = 605
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th ... | 41,231 |
<|im_start|>user
Binding of acetylcholine to receptors on the muscle fiber leads to a?
Answer choice: (A) depolarization (B) repolarization (C) conduction (D) excitation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 10,838 |
<|im_start|>user
The ratio between the presents of the A and B is 6:7. If B is 4 years older than A, what will be the ratio of the ages of A and B after 4 years?
Answer Choices: (A) 1:2 (B) 9:11 (C) 7:8 (D) 6:7 (E) 3:4<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A and B ages will be 6x and 7x
7x - 6x = 4
x =... | 31,313 |
<|im_start|>user
In an examination 35% of the students passed and 520 failed. How many students appeared for the examination?
Answer Choices: (A) A) 540 (B) B) 400 (C) C) 800 (D) D) 650 (E) E) 840<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of students appeared be x
then, 65% of x = 520
65x/100 = ... | 53,482 |
<|im_start|>user
If x is divisible by 2 and 7, which of the following must divide evenly into x? I. 60 II. 32 III. 14
Answer Choices: (A) I,II only (B) I,III only (C) I only (D) III only (E) II only<|im_end|>
<|im_start|>assistant
<think>
</think>
If x is divisible by 2,7 means it will be = or > 14, 28,42 etc...
That... | 45,850 |
<|im_start|>user
At a florist shop on a certain day, all corsages sold for either $25 or $40. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 40 percent. What was the store's actual revenue from corsages that day?
Answer Choices... | 38,293 |
<|im_start|>user
The no.of seats in a cinema hall is decreased by 5%, the price on the ticket also 5%. What is the effect on the revenue collected..??
Answer Choices: (A) -10% (B) +2.5% (C) -9.75% (D) +10.5% (E) +11.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
this can be esily solved by assuming
assume 100 se... | 37,675 |
<|im_start|>user
Do nonvascular or vascular plants have a dominant sporophyte generation?
Answer choice: (A) vascular (B) nonvascular (C) deciduous (D) perennial<|im_end|>
<|im_start|>assistant
<think>
</think>
Unlike nonvascular plants, all vascular plants—including seedless vascular plants—have a dominant sporophyt... | 10,993 |
<|im_start|>user
From 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer?
Answer Choices: (A) 150 (B) 164 (C) 259 (D) 311 (E) 224<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of ways = 4C1 * 8C5 = 224
The answer is E<|endoftext|> | 74,463 |
<|im_start|>user
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 40 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Answer Choices: (A) 6 (B) 7 (C) 7 (D) ... | 19,204 |
<|im_start|>user
The ratio 15:25 expressed as percent equals to
Answer Choices: (A) 70 % (B) 60 % (C) 30 % (D) 75 % (E) None of above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Actually it means 15 is what percent of 25, which can be calculated as,
(15/25)*100 = 15 * 4 = 60
The answer is B<|endofte... | 55,133 |
<|im_start|>user
Does deforestation increase or decrease carbon dioxide levels around the world?
Answer choice: (A) increase (B) accelerate (C) eliminate (D) decrease<|im_end|>
<|im_start|>assistant
<think>
</think>
Jami Dwyer. Deforestation creates significant increases in carbon dioxide levels around the world . Pu... | 10,290 |
<|im_start|>user
Helen went to the stationers and bought things worth Euro 21, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) uro 16.70 (B) uro 19.70 (C) uro 13.70 (D) uro 18.70 (E) uro 15.70<|im_end|>
<|im_start|>a... | 41,422 |
<|im_start|>user
12.1212+17.0005 - 9.1101 = ?
Answer Choices: (A) 20.0116 (B) 20.0105 (C) 20.0115 (D) 20.1015 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given expression
=(12.1212+17.0005)-9.1101
= (29.1217 - 9.1101)
=20.0116.
The answer is A<|endoftext|> | 26,859 |
<|im_start|>user
A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Answer Choices: (A) 3 (B) 5 (C) 6 (D) 4 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the man in still water and speed of stream be x k... | 25,152 |
<|im_start|>user
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability P that the game will end after the fourth throw?
Answer Choices: (A) 1/16 (B) 3/32 (C) 1/8 (D) 3/16 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Another approach... | 58,530 |
<|im_start|>user
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Answer Choices: (A) 135 m (B) 125 m (C) 129 m (D) 120 m (E) 165 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
D = 90 * 5/18 * 5 = 125 m
The answer is B<|endoftext|> | 95,570 |
<|im_start|>user
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Answer Choices: (A) 18:11 (B) 18:15 (C) 18:10 (D) 18:12 (E) 18:13<|im_end|>
<|im_start|>assistant
<think>
</think>
A invests Rs.8000 for 18... | 17,230 |
<|im_start|>user
A committee is reviewing a total of 40x black-and-white films and 10y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Answer Choices: (A) 50/52 (B) 55/52 (C) 60/52 (D) 40/52 (E) 30/52<|i... | 58,609 |
<|im_start|>user
The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?
Answer Choices: (A) 10% (B) 20% (C) 30% (D) 40% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
First decrease in percent
part / wh... | 53,236 |
<|im_start|>user
If population of certain city increases at the rate of 5%. If population in 1981 was 185220, then population in 1978 was?
Answer Choices: (A) 160000 (B) 228788 (C) 266891 (D) 267689 (E) 127791<|im_end|>
<|im_start|>assistant
<think>
</think>
X * (105/100) * (105/100) * (105/100) = 185220
X = 185220/1... | 84,435 |
<|im_start|>user
The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 1, the resulting fraction is equal to 7â„12. What is the value of the original fraction?
Answer Choices: (A) 6/11 (B) 8/13 (C) 11/16 (D) 12/17 (E) 14/19<|im_end|>
<|im_start|>assistant
... | 96,976 |
<|im_start|>user
Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Answer Choices: (A) 38 (B) 27 (C) 99 (D) 17 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of subjects = 6
Average of marks in 6 ... | 71,032 |
<|im_start|>user
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Answer Choices: (A) 20 (B) 24 (C) 26 (D) 28 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
== 3:5:7
Total parts = 15
= The largest number value is 42
= The largest numb... | 88,272 |
<|im_start|>user
if 3rd december 1999 is sunday what day is 3rd january 2000
Answer Choices: (A) wednesday (B) thursday (C) friday (D) saturday (E) sunday<|im_end|>
<|im_start|>assistant
<think>
</think>
There is difference of 31 days from 3rd Dec 1999 to 3rd Jan 2000..
31/7 left with 3 odd days..
that is wednesday
T... | 44,609 |
<|im_start|>user
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Answer Choices: (A) 48.55 (B) 42.25 (C) 50 (D) 51.25 (E) 52.25<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average weight of 16 b... | 41,446 |
<|im_start|>user
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students
Answer Choices: (A) 55 (B) 56 (C) 57 (D) 58 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the average weig... | 34,631 |
<|im_start|>user
Mrs. Rodger got a weekly raise of $148. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer Choices: (A) $140 (B) $141 (C) $142 (D) $148 (E) $145<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the 1st paycheck be x (integer).
Mrs. Rodger... | 11,378 |
<|im_start|>user
Raja is able to sell a hand-carved statue for $805 which was a 15% profit over his cost. How much did the statue originally cost him?
Answer Choices: (A) $700 (B) $512.40 (C) $555.40 (D) $574.90 (E) $588.20<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost price = 805/115*100 = 700
The answer is ... | 74,008 |
<|im_start|>user
A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 20 miles per hour." What was their average speed in the whole journey?
Answer Choices: (A) 13.3 miles/hour (B) 12 miles/hour (C) 1... | 75,238 |
<|im_start|>user
Given positive even integer y, which of the following CAN be evenly divisible by y?
Answer Choices: (A) y + 1 (B) 2y - 2 (C) 2y + 1 (D) 3y - 1 (E) y + 1⁄2<|im_end|>
<|im_start|>assistant
<think>
</think>
This can be easily solved by substituting values:
Assume y to be 2
A. y + 1: 3 is not evenly divi... | 92,774 |
<|im_start|>user
An outlet pipe can empty 2/3 of a cistern in 20 minutes. In 8 minutes, what part of the cistern will be emptied?
Answer Choices: (A) 1/2 (B) 1/3 (C) 2/9 (D) 4/15 (E) 9/20<|im_end|>
<|im_start|>assistant
<think>
</think>
8/20 * 2/3 = 4/15
The answer is D<|endoftext|> | 71,115 |
<|im_start|>user
Some scientists take their boat, the Vollert, out to an artificial reef they are studying. Nice weather on the way out means they can travel at 12 knots, but a storm blows in and they can only travel at 5 knots on the way home. What was their average speed for the whole trip?
Answer Choices: (A) 6 knot... | 37,939 |
<|im_start|>user
The average height of 30 students in a class was calculated as 177 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm. What was the actual average height of the students in the class?
Answer Choices: (A) 176.... | 35,748 |
<|im_start|>user
When two dice are rolled, what is the probability that the sum of the two numbers is 6?
Answer Choices: (A) 1/9 (B) 5/36 (C) 1/3 (D) 2/36 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
We have 5 outcomes that satisfy the question:
1-5
2-4
3-3
4-2
5-1
the probability is (1... | 82,746 |
<|im_start|>user
How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 3, whithout any of the digits repeating?
Answer Choices: (A) 15 (B) 96 (C) 120 (D) 181 (E) 216<|im_end|>
<|im_start|>assistant
<think>
</think>
First step:
We should determine which 5 digits from given 6, would... | 54,445 |
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