text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted... | 34,270 |
<|im_start|>user
For any a and b that satisfy |a β b| = b β a and a > 0, then |a + 2| + |-b| + |b β a| + |ab| =
Answer Choices: (A) -ab + 3 (B) ab + 2b + 2 (C) ab + 2b β 2a β 3 (D) -ab + 2b + 3 (E) ab + 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Observation-1: |a β b| = b β a
which is possible only when signs... | 11,396 |
<|im_start|>user
Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $12,000 higher than Store B's revenues. In the second month, Store A's revenues were $8,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue fo... | 4,607 |
<|im_start|>user
In a murder case there are four suspects P,Q,R,S. Each of them makes a statement. They are p:
"I had gone to the theatre with S at the time of the murder".q: "I was playing cards with P at the time of the murder".r: "Q didn't commit the murder".s: "R is not the murderer".Assuming the only one of the ab... | 79,934 |
<|im_start|>user
What works through chemical reactions that change the rock?
Answer choice: (A) chemical weathering (B) gradual weathering (C) chemical breakdown (D) rock weathering<|im_end|>
<|im_start|>assistant
<think>
</think>
Chemical weathering is different than mechanical weathering. The minerals in the rock c... | 1,635 |
<|im_start|>user
Sandy can do a job in 12 days and Molly can do the same job in 24 days. If they work together, in how many days will they complete the job?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Sandy can do 1/12 of the job each day.
Molly can do 1/24 of the j... | 68,020 |
<|im_start|>user
If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 3d =
Answer Choices: (A) 540 (B) 570 (C) 619 (D) 649 (E) 710<|im_end|>
<|im_start|>assistant
<think>
</think>
Before Price increase Price = d
After 30% Price increase Price = d+(30/100)*D = 1.3d = 351 (Given)
... | 89,519 |
<|im_start|>user
Caleb spends $66.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
Answer Choices: (A) 5 (B) 33 (C) 20 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution -
Lets say, Single hamburge... | 36,071 |
<|im_start|>user
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 10 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
Answer Choices: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</... | 7,573 |
<|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 same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 5,383 |
<|im_start|>user
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'7" tall, which of the following is the median height of the children?
Answer Choices: (A) 2'2" (B) 2'7" (C) 3'3" (D) 3'4" (E) 4'3<|im_end|>
<|im_start|>a... | 66,772 |
<|im_start|>user
By selling 100 pencil, a trader gains the cost of 40 Pencil. Find his gain percentage?
Answer Choices: (A) 26 1/3% (B) 51 1/3% (C) 40% (D) 53 1/3% (E) 34 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
C
40%
Let the CP of each pencil be Rs. 1.
CP of 100 pens = Rs. 100
Profit = Cost of 40 pencil... | 41,454 |
<|im_start|>user
For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
As we know that for a right angle triangle the are is 1/2 * base * height
We know the base = 3
We need to cal... | 26,047 |
<|im_start|>user
A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole icecream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone.
Answer Choi... | 37,483 |
<|im_start|>user
A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 200 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
Answer Choice... | 86,500 |
<|im_start|>user
The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 5 years ago, the sum of their ages was 75, what will be the age of Aman 10 years from now?
Answer Choices: (A) 17 (B) 25 (C) 27 (D) 35 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of A... | 24,689 |
<|im_start|>user
Johnny makes $4.75 per hour at his work. If he works 6 hours, how much money will he earn?
Answer Choices: (A) $30 (B) $54 (C) $28.50 (D) $12 (E) $9.60<|im_end|>
<|im_start|>assistant
<think>
</think>
4.75*6=28.50.
The answer is C<|endoftext|> | 36,672 |
<|im_start|>user
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quarterly
Answer Choices: (A) Rs 2520 (B) Rs 2521 (C) Rs 2522 (D) Rs 2523 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Please remember, when we have to calculate C.I. quarterly then we... | 24,192 |
<|im_start|>user
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 54ΓΒ° is?
Answer Choices: (A) 52.6 (B) 52.9 (C) 67.9 (D) 52.1 (E) 52.2<|im_end|>
<|im_start|>assistant
<think>
</think>
54/360 * 22/7 * 12 * 12 = 67.9 m2
The answer is C<|endoftext|> | 83,681 |
<|im_start|>user
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be
Answer Choices: (A) 7744 (B) 2388 (C) 3778 (D) 2992 (E) 2888<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
length of wire = {\color{Blue}2 \Pi r}= 2 *(22/7 )*56 = 35... | 81,811 |
<|im_start|>user
What is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area?
Answer Choices: (A) 12 + β7 (B) 12 + 4β7 (C) 12 + β47 (D) 12 + 4β47 (E) 12 + β74<|im_end|>
<|im_start|>assistant
<think>
</think>
We can maximize the area of the triangle by making these two sides the base and ... | 27,817 |
<|im_start|>user
What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Answer Choices: (A) 2.04 (B) 2.09 (C) 2.03 (D) 2.02 (E) 2.01<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I. when interest is compounded yearly
= [5000 * (1 + 4/100) * (1 + (1/... | 4,740 |
<|im_start|>user
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Answer Choices: (A) 87 (B) 56 (C) 20 (D) 67 (E) 97<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 15
S = 5
DS = 15 + 5 = 20
The answer is C<|endoftext|> | 54,129 |
<|im_start|>user
A man invests some money partly in 10% stock at 90 and partly in 5% stock at 90.To obtain equal dividends from both,he must invest the money in the ratio :
Answer Choices: (A) 1 : 2 (B) 3 : 5 (C) 4 : 5 (D) 16 : 15 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
For an income of Rs.... | 52,467 |
<|im_start|>user
A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 147 km downstream.
Answer Choices: (A) 4 hours (B) 5 hours (C) 6 hours (D) 7 hours (E) 8 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 45,140 |
<|im_start|>user
In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neith... | 49,012 |
<|im_start|>user
. A car covers a distance of 390 km in 4 hours. Find its speed?
Answer Choices: (A) 104 (B) 55 (C) 66 (D) 98 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
390/4 = 98 kmph
The answer is D<|endoftext|> | 71,550 |
<|im_start|>user
When a train travels at a speed of 110kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Answer Choices: (A) 12.5km (B) 50km (C) 60km (D) 8.5km (E) 9.5km<|im_end|>
<|im_start|>assistant
<think>
<... | 50,737 |
<|im_start|>user
Let x, y and z be distinct integers, x and y are odd and positive, and z is even and
positive. Which one of the following statements cannot be true?
Answer Choices: (A) (x β z) ^2 * y is even (B) (x β z) *y^2 is odd (C) (x β z) *y is odd (D) (x β y) ^2 * z is even (E) none<|im_end|>
<|im_start|>assista... | 96,814 |
<|im_start|>user
if below equation are true
24$6=64
35$5=87
63$7=99
by using same logic what is the value of the below question
88$8=?
Answer Choices: (A) 1621 (B) 1711 (C) 1611 (D) 1511 (E) 1311<|im_end|>
<|im_start|>assistant
<think>
</think>
Correct Answer : C
the number on the right side is formed as (sum of digi... | 11,734 |
<|im_start|>user
Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
Answer Choices: (A) If x>y (B) If x>=y (C) If x < y (D) If x<=y (E) x=y or relationship cannot be established<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:-
X=4,3
Y=-4,3
So, X>=Y
B
The ans... | 16,863 |
<|im_start|>user
650 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Answer Choices: (A) a) 162 (B) b) 138 (C) c) 60 (D) d) 38 (E) e) 13<|im_end|>
<|im_start|>assist... | 96,763 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There are four kinds of sentences.
A declarative sentence is a statement, and it always ends with a period.
The nurse told Mr. Abrams to roll up his sleeve so that she could check his blood pressure.
An interrogative sentenc... | 4,925 |
<|im_start|>user
How many total number of ways in which n distinct objects can be put into two different boxes is
Answer Choices: (A) n2 (B) 2n (C) 2n (D) 3n (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two boxes be B1 and B2. There are two choices for each of the n objects. So, the tota... | 36,617 |
<|im_start|>user
What is the remainder when 1271 * 1275 * 1279 *1285 is divided by 12?
Answer Choices: (A) 0 (B) 1 (C) 11 (D) 3 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
1271*1275*1277*1285 = (1272 - 1)(1272 + 3)(1284 - 5)(1284 + 1) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(mult... | 93,951 |
<|im_start|>user
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 9, what is the least possible value of n?
Answer Choices: (A) 7 (B) 6 (C) 9 (D) 12 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
We need at least 2 factors of three, which me
The answer is... | 26,609 |
<|im_start|>user
A 2-year certificate of deposit is purchased for Q dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Answer Choices: (A) k(1.06) ^2 (B) k(1.06) ^8 (C) k(1.015)... | 6,957 |
<|im_start|>user
Two cars A and B are running towards each other from different places 88 km apart. If the ratio of the speeds of the cars A and B is 5 : 6 and the speed of the car B is 90 km per hour then after how long will the two meet each other?
Answer Choices: (A) 2263 minutes (B) 24 minutes (C) 32 minutes (D) 36... | 63,662 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 1,068 |
<|im_start|>user
If you cut a 20ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
Answer Choices: (A) 4ft (B) 6ft (C) 8ft (D) 10ft (E) 12ft<|im_end|>
<|im_start|>assistant
<think>
</think>
Total length is 20ft, one piece is 4ft longer (x+4), leaving the other... | 87,385 |
<|im_start|>user
In a game, a player can win by getting six consecutive tails in seven throws of a coin. What is the probability of winning if the player gets a tail on the first two throws?
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 1/32<|im_end|>
<|im_start|>assistant
<think>
</think>
The only way to win ... | 87,418 |
<|im_start|>user
If 6x^2 + x - 12 = (qx + b)(cx + d), then |q| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
Answer Choices: (A) 10 (B) 12 (C) 15 (D) 18 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
6x^2+x-1... | 92,655 |
<|im_start|>user
If each data point in a certain set Q is increased by a factor of 6, what happens with the set's standard deviation?
Answer Choices: (A) Doesn't Change (B) Decreases by Factor 6 (C) Increases by 6 (D) Increases by Factor 6 (E) Can't be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Stand... | 55,822 |
<|im_start|>user
The average of first ten prime numbers which are odd is?
Answer Choices: (A) 15.6 (B) 15.1 (C) 15.9 (D) 15.8 (E) 15.3<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of first 10 prime no. which are odd
= 158
Average = 158/10
= 15.8
The answer is D<|endoftext|> | 78,750 |
<|im_start|>user
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?
Answer Choices: (A) 10 (B) 25 (C) 60 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B 10da... | 594 |
<|im_start|>user
The total surface area of a cuboid length 12 m, breadth 10 m and height 8 m.
Answer Choices: (A) 576 (B) 566 (C) 596 (D) 556 (E) 586<|im_end|>
<|im_start|>assistant
<think>
</think>
Total surface area of cuboid
= 2 (lb+bh+lh)
= 2 (120 + 80+ 96)
= 2 (296) => 596 m(power2)
The answer is C<|endoftext|> | 62,953 |
<|im_start|>user
Tom, working alone, can paint a room in 10 hours. Peter and John, working independently, can paint the same room in 5 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them... | 45,834 |
<|im_start|>user
The ratio of two quantities is 5 to 6. If each of the quantities are doubled, what is the ratio of these 2 new quantities?
Answer Choices: (A) 5:6 (B) 10:12 (C) 20:24 (D) 5:12 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
If both sides of a ra... | 52,608 |
<|im_start|>user
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Answer Choices: (A) 8/15 (B) 7/15 (C) 6/15 (D) 5/15 (E) 4/15<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount of work P can do in 1 day = 1... | 85,861 |
<|im_start|>user
In a certain company, a third of the workers do not have a retirement plan. 40% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Answer Choices: (A)... | 62,491 |
<|im_start|>user
In a container there are two solutions; solution A and solution B in the ratio of 3 : 4. If 8 litres of solution A is added, the ratio becomes 11:12. What is the total quantity in the container after adding the extra 8 litres ?
Answer Choices: (A) 96 liters (B) 104 liters (C) 94 liters (D) 92 liters (E... | 28,337 |
<|im_start|>user
A can do a piece of work in 4 days. B can do it in 6 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Answer Choices: (A) 22 days (B) 12 days (C) 67 days (D) 17 days (E) 18 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/2 - 1/6 - ... | 69,542 |
<|im_start|>user
A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks?
Answer Choices: (A) 10 socks (B) 20 socks (C) 30 socks (D) 40 s... | 91,413 |
<|im_start|>user
Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 25 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 30 meters. What distance is she from the starting point and in which direction?
Answer Choices: (A) 35 m East (B) 35 m Nort... | 2,352 |
<|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... | 2,900 |
<|im_start|>user
If y is 40 percent greater than x, then x is what percent less than y?
Answer Choices: (A) 18% (B) 21% (C) 25% (D) 29% (E) 35%<|im_end|>
<|im_start|>assistant
<think>
</think>
y = 1.4x
x = y/1.4 = 10y/14 = y - (2/7)*y
2/7 is about 29%.
The answer is D<|endoftext|> | 53,339 |
<|im_start|>user
If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
Answer Choices: (A) 9 (B) 2 (C) 12 (D) 14 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x and y
Then x2-y2=39
And x-y=3
We get x+y=13
Solving x-y=3, x+y=13
X=8, y=5
L... | 59,017 |
<|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 through families. Children gain these traits from their paren... | 2,151 |
<|im_start|>user
A batsman scored 140 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Answer Choices: (A) 50% (B) 40% (C) 60% (D) 57% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of runs made by running = 140 - (3 x 4 + 8 x 6... | 72,913 |
<|im_start|>user
An article is bought for Rs.600 and sold for Rs.550, find the loss percent?
Answer Choices: (A) 8 1/3% (B) 16 1/3% (C) 19 2/3% (D) 16 2/3% (E) 16 8/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
600 ---- 50
100 ---- ? => 8 1/3%
The answer is A<|endoftext|> | 68,185 |
<|im_start|>user
What is the area of square field whose side of length 18 m?
Answer Choices: (A) 225 sq m (B) 186 sq m (C) 586 sq m (D) 324 sq m (E) 296 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
18 * 18
= 324 sq m
The answer is D<|endoftext|> | 64,319 |
<|im_start|>user
85% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Answer Choices: (A) (a) 15% (B) (b) 5% (C) (c) 10% (D) (d) 20% (E) (e) 25%<|i... | 28,370 |
<|im_start|>user
A car is running at a speed of 80kmph. What distance will it cover in 20sec?
Answer Choices: (A) 100m (B) 440m (C) 180m (D) 200m (E) 250m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 80kmph = 80*5/18 = 22 m/s
Distance covered in 20sec = 22*10 = 440m
The answer is B<|endoftext|> | 18,509 |
<|im_start|>user
A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $200,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Answer Choices: (A) 700 (B) 720 (C) 740 (D... | 92,588 |
<|im_start|>user
What is the energy needed to start a reaction between catalysts and reactants called?
Answer choice: (A) activation energy (B) reaction energy (C) decomposition energy (D) conductivity energy<|im_end|>
<|im_start|>assistant
<think>
</think>
Catalysts interact with reactants so the reaction can occur ... | 1,373 |
<|im_start|>user
workers in a factory store products inside two different sized boxes. The bigger of the boxes can store 50 products while the smaller box can store 40 products. If a fresh batch of products numbering 212 in total were to be stored, what is the least number of products that will not be boxed?
Answer Cho... | 19,661 |
<|im_start|>user
What takes place in the organelle known as the chloroplast, which distinguishes animal from plant cells?
Answer choice: (A) digestion (B) reproduction (C) perspiration (D) photosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
Photosynthesis takes place in the organelle of the plant cell kno... | 9,520 |
<|im_start|>user
On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Answer Choices: (A) 10.5% (B) 12.5% (... | 10,342 |
<|im_start|>user
β[200β[200β[200β¦β¦..β]]] = ?
Answer Choices: (A) 200 (B) 10 (C) 1 (D) 20 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let β[200β[200β[200β¦β¦..β]]] = x ; Hence β200x = x
Squaring both sides 200x = xΒ² Γ x (x β 200) = 0
Γ x = 0 or x β 200 = 0 i.e. x = 200
As x cannot be 0, x = 200.
The answer is... | 36,972 |
<|im_start|>user
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at
Answer Choices: (A) 46 (B) 96 (C) 35 (D) 87 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
To earn Rs. 135, investment
= Rs. 1620.
To earn Rs. 8, investment
= Rs. 96.
Market value of Rs. 100 stock
= Rs. 96.... | 28,551 |
<|im_start|>user
What is the measurement for the amount of water vapor in the air?
Answer choice: (A) haze (B) humidity (C) ambient (D) saturation<|im_end|>
<|im_start|>assistant
<think>
</think>
A: Humidity is a measure of the amount of water vapor in the air. When humidity is high, sweat evaporates more slowly beca... | 922 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
A euphemism is a polite or indirect expression that is used to de-emphasize an unpleasant topic.... | 2,870 |
<|im_start|>user
On the atomic level, the dissolution of an ionic compound occurs when water interacts with the what in the crystal lattice?
Answer choice: (A) atoms (B) fractals (C) particles (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
The last property above requires some additional explanation. We ar... | 5,751 |
<|im_start|>user
If the length of the sides of two cubes are in the ratio 7:1, what is the ratio of their total surface area?
Answer Choices: (A) 7:1 (B) 14:1 (C) 21:1 (D) 42:1 (E) 49:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the length of the small cube's side.
The total surface area of the small c... | 64,110 |
<|im_start|>user
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If A is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Answer Choices: (A) 0<y<4 (B) 4<y<10 (C) 10<y<20 (D) 20<y<30 (E) y>30<|im_end|>
<|im_start|>assistant... | 80,535 |
<|im_start|>user
If 0 < L < Y, L is an odd number and Y is a prime number, which of the following can be the value of L + Y ?
Answer Choices: (A) 11. (B) 13. (C) 17. (D) 10. (E) 7.<|im_end|>
<|im_start|>assistant
<think>
</think>
If L is odd ,implies l(odd)+y(odd/even prime)=(Even/Odd)
If Y is even, the 2 is the even... | 4,780 |
<|im_start|>user
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum :
Answer Choices: (A) 4500 (B) 7600 (C) 5000 (D) 6000 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.(d) Let the sum be 100.
Therefore, SI ... | 55,946 |
<|im_start|>user
. A boy has six trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Answer Choices: (A) 9 (B) 18 (C) 27 (D) 36 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The boy can select one trouser in six ways.
The boy can select one shirt in 8 ways.
Th... | 28,777 |
<|im_start|>user
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Answer Choices: (A) 20% (B) 30% (C) 35% (D) 40% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres.
AC =... | 67,899 |
<|im_start|>user
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $85.0 billion, a year ago. By what percent did the revenue fall?
Answer... | 79,956 |
<|im_start|>user
How many odd numbers between 10 and 800 are the squares of integers?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
The square of an odd number is an odd number:
10 < odd < 1,000
10 < odd^2 < 1,000
3.something < odd < 31.something (by taking the sq... | 57,880 |
<|im_start|>user
If W is the set of all the integers between 69 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Answer Choices: (A) 20 (B) 32 (C) 33 (D) 34 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Multiples of 2 from 69 to 99=M... | 41,363 |
<|im_start|>user
The age of man is three times the sum of the ages of his two sons. Six years hence,his age will be double of the sum of the ages of his sons.The fatherΓ’β¬β’s present age is :
Answer Choices: (A) 40 years (B) 45 years (C) 50 years (D) 54 years (E) 75 years<|im_end|>
<|im_start|>assistant
<think>
</think>... | 23,230 |
<|im_start|>user
A train travels from New York to Chicago, a distance of approximately 270 miles, at an average rate of 30 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than N... | 59,792 |
<|im_start|>user
In 1990 the budgets for projects Q and V were $700,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Answer Choices: (A) 1992 (B) 1993 (C... | 13,046 |
<|im_start|>user
Three seventh of a number is 12 more than 40% of that number. What will be the 50% of that number?
Answer Choices: (A) A) 148 (B) B) 210 (C) C) 105 (D) D) 248 (E) E) 258<|im_end|>
<|im_start|>assistant
<think>
</think>
3/7 x β 40/100 x = 12
x = 35 * 12
35 * 12 * 50/100 = 210/2 = 105
The answer is C<|... | 58,599 |
<|im_start|>user
When 2 + 3 = 65, 3 + 4 = 125, 4 + 5 = 205, then 5 + 6 = ?
Answer Choices: (A) 285 (B) 305 (C) 315 (D) 350 (E) 245<|im_end|>
<|im_start|>assistant
<think>
</think>
2 + 3 => 2 Γβ 3 = 6 => 6 Γβ 10 + 5 = 65
3 + 4 => 3 Γβ 4 = 12 => 12 Γβ 10 + 5 = 125
4 + 5 => 4 Γβ 5 = 20 => 20 Γβ 10 + 5 = 205
Then 5 + 6 =... | 43,972 |
<|im_start|>user
In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Answer Choices: (A) 2380/60^2 (B) 2410/60^2 (C) 2390/60^2 (D) 3586/60 (E) 60^2/3590... | 46,402 |
<|im_start|>user
When the integer k is divided by 7, the remainder is 3. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 7
II. 6k + 1
III. 8k + 5
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think... | 64,529 |
<|im_start|>user
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Answer Choices: (A) 1034355 (B) 1035677 (C) 1045778 (D) 1067675 (E) 1083875<|im... | 97,200 |
<|im_start|>user
A certain quantity of 50% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 2/3 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's say that the total original m... | 71,111 |
<|im_start|>user
In Town P, 60 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town P are females?
Answer Choices: (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%<|im_end|>
<|im_start|>assistant
<think>
</think>
The percent of the population ... | 56,584 |
<|im_start|>user
In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y =
Answer Choices: (A) 52 (B) 46 (C) 60 (D) 50 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Line k passes through the origin and has slope 1/2 means that its e... | 53,989 |
<|im_start|>user
The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds... | 84,419 |
<|im_start|>user
Divide Rs.32000 in the ratio 3:3?
Answer Choices: (A) 12000, 20000 (B) 12000, 200098 (C) 16000, 16000 (D) 12000, 20006 (E) 12000, 20001<|im_end|>
<|im_start|>assistant
<think>
</think>
3/6 * 32000 = 16000
5/6 * 32000 = 16000
The answer is C<|endoftext|> | 81,461 |
<|im_start|>user
The average (arithmetic mean) of the even integers from 0 to 60 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 30 inclusive?
Answer Choices: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of even numbers fro... | 65,667 |
<|im_start|>user
In a School, 50 percent of the students are choose apples and the remaining are Mango. In a vote of choosing fruits, if 65 percent of the students who are apples and 25 percent of the students who are Bananas are expected to vote for Candidate A, what percent of the students are expected to vote for Ca... | 32,872 |
<|im_start|>user
An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 1000 sculptures are not on display, how many pieces of art does the gallery have?
Answer Choices: ... | 37,153 |
<|im_start|>user
The average marks scored by Ganesh in English, Science, Mathematics and History is less than 17 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Answer Choices: (A) 40 (B) 50 (C) 60 (D) 68 (E) None of these<|... | 19,357 |
<|im_start|>user
76.8% of my office colleges are non-vegetarian.
What's the least number of person working in my office to hold above statement true.
Answer Choices: (A) 110 people (B) 126 people (C) 120 people (D) 122 people (E) 130 people<|im_end|>
<|im_start|>assistant
<think>
</think>
B
126 people
125 people + Me... | 86,455 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.