text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
Answer Choices: (A) 1636 (B) 1346 (C) 1378 (D) 1635 (E) 1489<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the smaller number ... | 48,853 |
<|im_start|>user
The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter?
Answer Choices: (A) 16500 (B) 16299 (C) 22898 (D) 12929 (E) 12091<|im_end|>
<|im_start|>assistant
<think>
</think>
l=5.5m w=3.75m
area of the floor = 5.5 x 3.75 = 20.625 s... | 3,856 |
<|im_start|>user
3, 7, 15, 27, 43, ?
Answer Choices: (A) 63 (B) 56 (C) 74 (D) 57 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
The pattern is + 4, + 8, + 12, + 16, +20
The answer is A<|endoftext|> | 72,853 |
<|im_start|>user
What percent is 520 gm of 1 kg?
Answer Choices: (A) 25% (B) 40% (C) 52% (D) 8% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
1 kg = 1000 gm
520/1000 × 100 = 52000/1000
=52 %
The answer is C<|endoftext|> | 38,271 |
<|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... | 3,790 |
<|im_start|>user
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 399 (B) 788 (C) 350 (D) 888 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of th... | 21,293 |
<|im_start|>user
In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 90π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Answer Choices: (A) 360π (B) 400π (C) 450π (... | 43,152 |
<|im_start|>user
The sum of two numbers is 120. If the greater number is four times the less, what are the numbers?
Answer Choices: (A) 80 (B) 84 (C) 85 (D) 96 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x = the less number
4x = the greater number
The sum of two numbers is 120
x+4x=120
5x=120
x=24
4... | 4,985 |
<|im_start|>user
A sum of $1000 amounts to $1500 in 5 years at simple interest. If the interest rate is increased by 5% it would amount to how much ?
Answer Choices: (A) $1000 (B) $750 (C) $1541 (D) $1478 (E) $1750<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I = 1500-1000 = 500
P = $1000
T = 5 years
R = 100*50... | 68,368 |
<|im_start|>user
How many arrangements can be made out of the letters of the word 'ENGINEERING'?
Answer Choices: (A) 277200 (B) 92400 (C) 69300 (D) 23100 (E) 85600<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'ENGINEERING' contains 11 letters, namely 3E, 3N, 2G, 2I and 1R.
Required number of arrangements... | 49,964 |
<|im_start|>user
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Answer Choices: (A) 50 sec (B) 25 sec (C) 40 sec (D) 65 sec (E) 60 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The distan... | 47,755 |
<|im_start|>user
The annual cost of owning and operating a car, C dollars, is a linear function of the distance, d kilometers, it is driven.
Answer Choices: (A) 0.3d + 1609 (B) 0.3d + 16089 (C) 0.3d + 1600 (D) 0.3d + 1602 (E) 0.3d + 1601<|im_end|>
<|im_start|>assistant
<think>
</think>
c = md + b
The cost is $ 4600 f... | 45,384 |
<|im_start|>user
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $50 to incur a loss 20%?
Answer Choices: (A) 25 (B) 36 (C) 40 (D) 50 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a los... | 50 |
<|im_start|>user
Hitesh is 40 years old and Ronnie is- 60 years old. How many years ago was the ratio of their ages 3:5 ?
Answer Choices: (A) 5 years (B) 10 years (C) 20 years (D) 15 years (E) 25 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose, the ratio was 3 : 5, x years ago.
Then,
(40-x)/(60-x)=3/5
... | 39,345 |
<|im_start|>user
Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/6 full and other jar 1/5 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Answer Choices: (... | 50,628 |
<|im_start|>user
If the sum of the 4th term and the 12th term of an arithmetic progression is 24, what is the sum of the first 15 terms of the progression?
Answer Choices: (A) 300 (B) 240 (C) 220 (D) 200 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
4th term + 12th term = 24
i.e., (a+3d)+(a+11d) = 24
Now, ... | 82,752 |
<|im_start|>user
The ratio of two cow A,B milk is 5:3.3kg milk of cow A get distributed and 1kg milk of cow B get distributed.now,8kg milk of cow B left.Now what is the ratio of cow A and B left milk?
Answer Choices: (A) 3:2 (B) 4:3 (C) 5:4 (D) 6:5 (E) 5:3<|im_end|>
<|im_start|>assistant
<think>
</think>
left milk of... | 90,921 |
<|im_start|>user
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Answer Choices: (A) 1:2 (B) 1:3 (C) 3:1 (D) 1:5 (E) 1:4<|im_end|>
<|im_start|>assistant
<think>
</think>
Qua... | 44,828 |
<|im_start|>user
If Ben's income is Rs 35000, calculate his savings given that his income and expenditure are in the ratio 7:4.?
Answer Choices: (A) Rs 4900 (B) Rs 9800 (C) Rs 9000 (D) Rs 7000 (E) Rs.15000<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs.7x and R... | 78,066 |
<|im_start|>user
What is the difference between the place value and the face value of 3 in the numeral 593827?
Answer Choices: (A) None of these (B) 5999 (C) 994 (D) 5994 (E) 5997<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Place value of 3 = 3000
Face value of 3 = 3
Difference = 3000 - 3 = 5997
The... | 86,587 |
<|im_start|>user
An investor opened a money market account with a single deposit of $6000 on Dec. 31, 2001. The interest earned on the account was calculated and reinvested quarterly. The compound interest for the first 3 quarters of 2002 was $125, $130, and $145, respectively. If the investor made no deposits or withd... | 56,264 |
<|im_start|>user
In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th terms in the sequence?
Answer Choices: (A) 2^18 (B) 3(2^17) (C) 7(2^16) (D) 3(2^15) (E) 7(2^15) <|im_end|>
<|im_start|>assistant
<think>
</think>
the sequence comes out to... | 53,647 |
<|im_start|>user
Alan has split his savings equally into two accounts. The first one is a simple interest savings account with 22% annual interest and the other is a savings account with r% annual compound interest. If both accounts have the same balance after two years, what is the value of r?
Answer Choices: (A) 11 (... | 67,419 |
<|im_start|>user
In a games hour 4 different types of players came to the ground? cricket 10, hokey 12, football 16, softball 13. How many players are present in the ground?
Answer Choices: (A) 70 (B) 52 (C) 51 (D) 49 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
total number of players= 10+12+16+13= 51
The... | 92,192 |
<|im_start|>user
I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 75 odd numbers ?".
I wait for a... | 11,149 |
<|im_start|>user
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $12,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12... | 86,110 |
<|im_start|>user
After fertilization is complete, no other sperm can enter. the fertilized ovule forms the seed, whereas the tissues of the ovary become this?
Answer choice: (A) plant (B) wheat (C) fruit (D) vegetables<|im_end|>
<|im_start|>assistant
<think>
</think>
events in angiosperms are known as double fertiliz... | 6,372 |
<|im_start|>user
The cost of an item was reduced from its usual selling price of $23.99 to $18.99. Which of the following is closest to the percent decrease in the price of the item?
Answer Choices: (A) 17% (B) 21% (C) 24% (D) 25% (E) 42%<|im_end|>
<|im_start|>assistant
<think>
</think>
The price decreased by 23.99 -... | 16,392 |
<|im_start|>user
Ionic bonds are electrostatic attractions between two oppositely charged what?
Answer choice: (A) molecules (B) gasses (C) compounds (D) ions<|im_end|>
<|im_start|>assistant
<think>
</think>
Ionic bonds are electrostatic attractions between two oppositely charged ions. Ions can be formed and then bon... | 11,402 |
<|im_start|>user
Jack and Jill are marathon runners. Jack can finish a marathon (43 km) in 4.5 hours and Jill can run a marathon in 4.3 hours.What is the ratio of their average running speed? (Jack: Jill)
Answer Choices: (A) 14/15 (B) 43/45 (C) 4/5 (D) 5/4 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think... | 22,414 |
<|im_start|>user
If your mother asked you to bring her 7 water bottles, and one bottle costs 1.5 $, how much money should she give you?
Answer Choices: (A) 9 $ (B) 9.5 $ (C) 10 $ (D) 10.5 $ (E) 11 $<|im_end|>
<|im_start|>assistant
<think>
</think>
Simply multiply the cost of one bottle by its number you would buy.
Th... | 19,459 |
<|im_start|>user
The spin quantum number describes the spin for a given what?
Answer choice: (A) ion (B) electron (C) element (D) proton<|im_end|>
<|im_start|>assistant
<think>
</think>
The spin quantum number describes the spin for a given electron. An electron can have one of two associated spins, spin, or spin. An... | 7,065 |
<|im_start|>user
To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of K dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remainin... | 18,535 |
<|im_start|>user
Because all animals require an external source of what, they are called heterotrophic?
Answer choice: (A) fuel (B) energy (C) food (D) water<|im_end|>
<|im_start|>assistant
<think>
</think>
27.1 | Features of the Animal Kingdom By the end of this section, you will be able to: • List the features that... | 6,263 |
<|im_start|>user
An express A starts at 2.30 pm from nampali station and travels towards vizag station at speed of 80 kmph. Another expressstarts at 4.30 pmfrom nampali station to vizag station at speed of 100 kmph. How far awayfrom station Nampali will the two trains meet??
Answer Choices: (A) 600 km (B) 700 km (C) 75... | 68,198 |
<|im_start|>user
A and B are two partially filled buckets of water. If 4 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 4 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of wate... | 24,821 |
<|im_start|>user
X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
Answer Choices: (A) 60 (B) 99 (C) 77 (D) 55 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
We have M1 D1 = M2 D2
120X = (X - 20)180
=> 2X = (X - 20) 3 => 2X = 3X - 60
=... | 86,310 |
<|im_start|>user
The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
Answer Choices: (A) 15 (B) 18 (C) 77 (D) 52 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
90 * 12/60 = 18 kmph
The answer is B<|endoftext|> | 77,882 |
<|im_start|>user
A can do a half of certain work in 60 days and B one third of the same in 35 days. They together will do the whole work in.
Answer Choices: (A) 56 days (B) 420 days (C) 46 days (D) 560 days (E) 96 days<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 120 days
B = 105 days
1/120 + 1/105 = 45/2520 ... | 52,274 |
<|im_start|>user
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 12 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Answer Choices: (A) 2,060 (B) 1,320 (C) 54... | 17,091 |
<|im_start|>user
If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?
Answer Choices: (A) 0 (B) m (C) n (D) mn (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Here's the solution :
mth term of an A.P.
Am = a + (m-1)d----------... | 78,360 |
<|im_start|>user
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Answer Choices: (A) 33 4/3 % (B) 33 1/7 % (C) 33 1/3 % (D) 32 1/3 % (E) 33 2/3 %<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of mangoes bought by the shopkeeper b... | 53,877 |
<|im_start|>user
How do bipedal creatures walk?
Answer choice: (A) on twelve legs (B) on six legs (C) on four legs (D) on two legs<|im_end|>
<|im_start|>assistant
<think>
</think>
Birds are endothermic tetrapod vertebrates. They are bipedal, which means they walk on two legs. Birds also lay amniotic eggs with hard, c... | 3,329 |
<|im_start|>user
For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven ... | 1,620 |
<|im_start|>user
What does the armor including spines in some species offer?
Answer choice: (A) nutrition (B) protection from predators (C) protection from cold (D) energy<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 6,046 |
<|im_start|>user
Tim's garden is shaped like a square whose side is 28 meters. What's the length of the fence which surrounds the garden?
Answer Choices: (A) 110 meters (B) 111 meters (C) 112 meters (D) 113 meters (E) 114 meters<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
All sides of the square are eq... | 71,956 |
<|im_start|>user
In a apartment, 40% of the people speak English, 40% speak Hindi and 30% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Answer Choices: (A) 1/2 (B) 2/3 (C) 2/5 (D) 2/7 (E) 2/9<|im_end|>
<|im_start|>assistant
<think>
</think>
P (E) = 40 / 100... | 50,786 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 8 long. You might be thinking, 8 what? Is the pencil 8 inches... | 5,151 |
<|im_start|>user
The Expenditure of an woman increase consistently by 30% per year. If her present expenditure is Rs. 1000 then what will her expenditure be after 3 years ?
Answer Choices: (A) 2107 (B) 2197 (C) 2187 (D) 2177 (E) 2167<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Expenditure = 1000 x ... | 53,161 |
<|im_start|>user
What number should replace the question mark?
24, 30, ?, 60, 84, 114
Answer Choices: (A) 45 (B) 44 (C) 48 (D) 42 (E) 49<|im_end|>
<|im_start|>assistant
<think>
</think>
D
42
The sequence progresses +6, +12, +18, +24, +30.
The answer is D<|endoftext|> | 4,444 |
<|im_start|>user
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight o... | 91,210 |
<|im_start|>user
Find the least number must be added to 433124 so that remaining no.is divisible by 17?
Answer Choices: (A) 3 (B) 2 (C) 5 (D) 6 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
On dividing 433124 by 17 we get the remainder 15, so 2 should be added
B
The answer is B<|endoftext|> | 79,849 |
<|im_start|>user
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Answer Choices: (A) 2261 (B) 2888 (C) 1200 (D) 2699 (E) 2771<|im_end|>
<|im_start|>assistant
<think>
</think>
P --- 10 ---- 600
... | 35,522 |
<|im_start|>user
If X = 2 + 1/(1+1/(1-1/2))then the value of 7x+7/3?
Answer Choices: (A) 9 2/3 (B) 10 1/3 (C) 11 (D) 11 2/3 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
X = 2 + 1/(1+1/(1-1/2))
= 2 + 1/(1+2)
= 2 + 1/3
X = 7/3 ==> 7X + 7/3 => 7(7/3) + 7/3
==> 49/3 + 7/3
==> 56/3
==> 18.
E)
The answer is E<|e... | 40,540 |
<|im_start|>user
A bag contains 6 white marbles and 6 black marbles. If each of 6 girls and 6 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Answer Choices: (A) 1/35 (B) 1/10 (C) 1/3 (D) 1/462 (E) 1/252<|im_end|>
<|im_start|>assistant
<think>
</t... | 32,759 |
<|im_start|>user
There are 18 students in a class. On the day the test was given, Alice was absent. The other 17 students took the test and their average was 78. The next day, Alice took the test, and with this grade included, the new average was 79. What was Alice's grade on the test?
Answer Choices: (A) 96 (B) 95 (C)... | 5,660 |
<|im_start|>user
In the next World cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. Four top teams of this round will qu... | 74,550 |
<|im_start|>user
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Answer Choices: (A) 77 years (B) 15 years (C) 66 years (D) 88 years (E) 55 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of... | 43,756 |
<|im_start|>user
Mother,her daughter and her grand child weighs 120 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Answer Choices: (A) 46 (B) 47 (C) 48 (D) 49 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
mother + daughter + child = 12... | 91,555 |
<|im_start|>user
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs.157300 was their profit, how much amount did B receive?
Answer Choices: (A) 48400 (B) 48000 (C) 48100 (D) 48500 (E) 48600<|im_end|>
<|im_start|>assistant
<think>
</think... | 11,802 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Scientists sort animals with similar traits into groups. This is called classification. Classification helps scientists learn about how animals live.
How do scientists classify animals? First, they make observations about an... | 1,285 |
<|im_start|>user
A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answer Choices: (A) s.24 (B) s.46 (C) s.40 (D) s.41 (E) s.34<|im_end|>
<|im_start|>assistant
<think>
</think>
800*(15/100) = 120 ---- 5
? ---- 1 => Rs.24
The answer is A<|endo... | 745 |
<|im_start|>user
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Answer Choices: (A) 24 (B) 27 (C) 29 (D) 32 (E) 33<|im_end|>
<|im_start|>assistant
<think>
</think>
5:3:4
Total parts = 12
12 parts --> 108
1 part ---->9
The second number of the three numbers is = 3
... | 70,857 |
<|im_start|>user
What might eventually happen to a species if it is unable to reproduce?
Answer choice: (A) extinction (B) natural selection (C) migration (D) adaptation<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 5,079 |
<|im_start|>user
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 5: 00 p.m., at what time were there 32 million bacteria in the dish?
Answer Choices: (A) 11: 00 a.m. (B) 8: 00 p.m. (C) 6: 00 a.m. (D) 8: 00 a.m. (E) 10: 00 a.m.<|im_end|>
<|i... | 92,278 |
<|im_start|>user
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Answer Choices: (A) 8 cm (B) 12 cm (C) 14 cm (D) 10 cm (E) 15 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
63 + 83 + 103 = a3 => a = 12
The answer is B<|endoftext|... | 76,617 |
<|im_start|>user
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the width of this rectangle.
Answer Choices: (A) W = 27 (B) W = 15 (C) W = 38 (D) W =43 (E) W = 13<|im_end|>
<|im_start|>assistant
<think>
</think>
L * W = 300 : area , L is the length and W is th... | 21,633 |
<|im_start|>user
Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $42 of gas?
Answer Choices: (A) 196 (B) 284 (C) 336 (D) 412 (E) 572<|im_end|>
<|im_start|>assistant
<think>
</think>
42/4 = 10.5 gallons
10.5*32 = 336 miles
The answer is C<|endoftext|> | 77,875 |
<|im_start|>user
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 8and 16 hours respectively and C can empty it in 12 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Answer Choices: (A) 6 AM (B) 7 AM (C) 8 AM (D) 5 AM (E) 4 AM<|im_end|>
<|im_start|>assis... | 64,066 |
<|im_start|>user
If e, f, and g are distinct positive prime numbers, then (e^3)(f)(g) has how many different positive factors greater than 1?
Answer Choices: (A) a. 8 (B) b. 9 (C) c. 12 (D) d. 11 (E) e. 27<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Number is (e^3)(f)(g) = (1^3)(6)(10) = 60
We can write 60 a... | 58,750 |
<|im_start|>user
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Answer Choices: (A) 42 (B) 36 (C) 28 (D) 20 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Distan... | 12,125 |
<|im_start|>user
Which muscular organ pumps blood all around your body?
Answer choice: (A) stomach (B) heart (C) lungs (D) pancreas<|im_end|>
<|im_start|>assistant
<think>
</think>
When you think of muscles, you might think of biceps and the external muscles you see in a bodybuilder. However, some muscles are found d... | 1,046 |
<|im_start|>user
A club with a total membership of 40 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
Answer Choices: (A) ... | 60,976 |
<|im_start|>user
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 9 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Answer Choices: (A) 80% (B) 72% (C) 120% (D) 124.2% (E) 138%<|im_end|>
<|im_start|>... | 5,785 |
<|im_start|>user
Kelly invested Rs. 1850 at 82 to obtain an income of Rs. 172, calculate the dividend from his stock.
Answer Choices: (A) 4.6 (B) 7.6 (C) 6.6 (D) 3.6 (E) 5.6<|im_end|>
<|im_start|>assistant
<think>
</think>
By investing Rs.1850, income = Rs.172
By investing Rs.82, income = 172×82/1850=7.6
ie, dividen... | 86,830 |
<|im_start|>user
Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest?
Answer Choices: (A) 3.6 (B) 6 (C) 18 (D) Cannot be determined (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 97,262 |
<|im_start|>user
If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E
Answer Choices: (A) 25:16 (B) 24:25 (C) 5:6 (D) 4:5 (E) 4:9<|im_end|>
<|im_start|>assistant
<think>
</think>
We know Perimet... | 15,586 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rocks are made of minerals. Here are some properties of rocks:
They are solid.
They are formed in nature.
They are not made by living things.
They are not pure substances.
Question:
Select the one substance that is not a ro... | 4,115 |
<|im_start|>user
10+19
Answer Choices: (A) 29 (B) 13 (C) 28 (D) 6 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
A
The answer is A<|endoftext|> | 3,183 |
<|im_start|>user
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,053. How much did she invest at 5%?
Answer Choices: (A) $500 (B) $600 (C) $700 (D) $900 (E) $950<|im_end|>
<|im_start|>assistant
<think>
</think>
et x be the portion invested at 5%... | 37,566 |
<|im_start|>user
A man has about 4 children and 16 apples.He cuts the apple into quarter pieces and distribute them among the Children.One of the children eats one apple and returns remaining to the father.The father now distribute it among remaining.How many pieces does each of remaining child have?
Answer Choices: (A... | 35,734 |
<|im_start|>user
19/6 = 4/27 . which method did you use to determine whether this proportion is true or false?
Answer Choices: (A) true (B) neutral (C) false (D) not sure (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
19/6= 4/27. cross multiplication: 19 * 27 = 513, 6 * 4 = 24,
we see that 513 are not equa... | 84,099 |
<|im_start|>user
In a workshop there are 3 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Answer Choices: (A) 168. (B) 80. (C) 60. (D) 48. (E... | 43,644 |
<|im_start|>user
3, 4, 6, 10, 18, (...)
Answer Choices: (A) 22 (B) 34 (C) 27 (D) 32 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
3
3 × 2 - 2 = 4
4× 2 - 2 = 6
6× 2 - 2 = 10
10 × 2 - 2 = 18
18 × 2 - 2 = 34
The answer is B<|endoftext|> | 5,943 |
<|im_start|>user
Coral reefs and tropical rainforests are ecosystems known for what, contributing greatly to the species in existence on earth?
Answer choice: (A) commensalism (B) mass migrations (C) biodiversity (D) spontaneous mutation<|im_end|>
<|im_start|>assistant
<think>
</think>
How many species actually exist... | 9,255 |
<|im_start|>user
Sam deposited $12,000 to open a new savings account that earned eight percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Sam account one year after the account was opened?
Answer Choices: (A) $13,128 (B) $12,763 (C) $12,... | 52,994 |
<|im_start|>user
what is the least number by which 16,800 must be divided to get a number perfect square
Answer Choices: (A) 21 (B) 42 (C) 24 (D) 40 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
16,800/42=400
400=(20)^2
Ans-42
The answer is B<|endoftext|> | 63,289 |
<|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 12 units?
Answer Choices: (A) 140 sq.units (B) 170 sq.units (... | 78,099 |
<|im_start|>user
If x/y=4 and y is not '0' what % of x is 2x-y
Answer Choices: (A) 150% (B) 175percent (C) 200% (D) 250% (E) 350%<|im_end|>
<|im_start|>assistant
<think>
</think>
let z be the percent
x*z/100= 2x-y
zx=7y* 100
z=700y/4y
z=350/2
z=175%
The answer is B<|endoftext|> | 26,223 |
<|im_start|>user
Billy's farm is in the shape of a rectangle. It's width is 45 yards less than its length. The area of the farm is 11,704 square yards. What is the perimeter of the farm?
Answer Choices: (A) 88 yards (B) 133 yards (C) 260 yards (D) 442 yards (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
... | 90,486 |
<|im_start|>user
Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 6/8 of its own speed and got to its destination in 11 hours?
Answer Choices: (A) 2.5 hrs (B) 2.9 hrs (C) 4.5 hrs (D) 3.5 hrs (E) 1.5 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
New speed = ... | 46,455 |
<|im_start|>user
Given positive integer X, which of the following CAN NOT be evenly divisible by X?
Answer Choices: (A) x + 4 (B) x+ 7 (C) 2x + 1 (D) x − 1 (E) x + 1⁄2<|im_end|>
<|im_start|>assistant
<think>
</think>
This can be easily solved by substituting values:
Assume x to be 1
A. x + 4: 5 is evenly divisible by... | 82,420 |
<|im_start|>user
If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Answer Choices: (A) I only (B) II only (C) I and II (D) I, II, and III (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
24! contains all numbers from 1 to 24. To find the factor with the highest... | 10,647 |
<|im_start|>user
From the word 'LAPAROSCOPY' how many independent meaningful words can be made without changing the order of the letters and using each letter only once ?
Answer Choices: (A) 8 (B) 7 (C) 6 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The words are LAP and COPY.
The answer ... | 4,680 |
<|im_start|>user
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Answer Choices: (A) 277 (B) 288 (C) 600 (D) 273 (E) 126<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 84,940 |
<|im_start|>user
If a^3 is divisible by 240 what is the least possible value of integer a?
Answer Choices: (A) 12 (B) 30 (C) 60 (D) 90 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
240 can be written as (2^4)*3*5.
For a^3 to be divisible by 240 it should contain atleast 2^4 and 3 and 5 in its factors. We c... | 94,814 |
<|im_start|>user
Tanaka and Sam worked all summer mowing lawns to earn money for college. They combined what they made everyday and at the end of summer they split all of their earnings evenly (50/50) between themselves. If Sam earned an even number of dollars, and the product of Tanaka and Sam's earnings is an even nu... | 34,768 |
<|im_start|>user
Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2/3 of its own speed and got to its destination in 20 hours?
Answer Choices: (A) 5.67 hrs (B) 9.67 hrs (C) 8.95 hrs (D) 8.67 hrs (E) 6.67 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
New spe... | 36,636 |
<|im_start|>user
Sum of two numbers is 25 and their difference is 13. Find their product.
Answer Choices: (A) 104 (B) 108 (C) 114 (D) 124 (E) 142<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Friends, this sort of question is quite important in competitive exams, whenever any question come which have ... | 54,640 |
<|im_start|>user
A can do a job in 15 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Answer Choices: (A) 14 days (B) 16 days (C) 20 days (D) 11 days (E) 19 days<|im_end|>
<|im_start|>assistant
<think>
</think>
C
1/15 + 1/30 = 1/10
10*2 = 20 days
The ans... | 58,083 |
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