text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
In 10 years, A will be twice as old as B was 10 years ago. If A is now 8 years older than B the present age of B is
Answer Choices: (A) 37 (B) 38 (C) 39 (D) 40 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
let present age of A be a and B be b
a+10 = 2*(b-10)
=> 2b-a = 30 ......(i)
a = b+8
=... | 33,041 |
<|im_start|>user
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 81 km downstream
Answer Choices: (A) 5 hours (B) 4 hours (C) 3 hours (D) 2 hours (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Spe... | 62,099 |
<|im_start|>user
If the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is?
Answer Choices: (A) A) 15 (B) B) 10 (C) C) 14 (D) D) 12 (E) E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
2 * 22/7 * 14 * x = 880 => x = 10
The answer is B<|endoftext|> | 11,578 |
<|im_start|>user
In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 10 and 400, then the least and greatest integer on the card would be
Answ... | 7,339 |
<|im_start|>user
The burning of what type of fuels is a major source of sulfur oxides and nitrogen oxides?
Answer choice: (A) biofuels (B) renewable (C) synthetic (D) fossil<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 10,407 |
<|im_start|>user
In single-celled organisms, plasma membrane extensions, such as whip-like flagella or brush-like cilia, aid in what?
Answer choice: (A) sensation (B) movement (C) sound (D) pressure<|im_end|>
<|im_start|>assistant
<think>
</think>
The plasma membrane may have extensions, such as whip-like flagella or... | 11,212 |
<|im_start|>user
What water is about 3.5% salt?
Answer choice: (A) seawater (B) glacial water (C) fresh water (D) spring water<|im_end|>
<|im_start|>assistant
<think>
</think>
You know that ocean water is salty. How salty is it? What is the salinity of seawater? Average seawater is about 3.5% salt. The amount is diff... | 9,870 |
<|im_start|>user
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $849,000 invested in preferred stocks, what is the total amount of money invested in the fund?
Answer Choices: (A) $1,974,000 (B) $2,538,000 (C... | 854 |
<|im_start|>user
If x is an integer and (x)(x^4)(x^3) is positive, which of the following could be negative?
Answer Choices: (A) x^4 (B) (x) (x^3) (C) (x) (x) (D) x + x^11 (E) 3x^2<|im_end|>
<|im_start|>assistant
<think>
</think>
A) X^4 - always positive (or 0).
B) X(X^3) = X^4 - Again always positive (or 0).
C) (x... | 59,976 |
<|im_start|>user
Average between two sets of numbers is closer to the set withmore numbers?
Answer Choices: (A) 70 (B) 80 (C) 90 (D) 92 (E) 94<|im_end|>
<|im_start|>assistant
<think>
</think>
If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for ... | 21,076 |
<|im_start|>user
This knocks electrons from atoms and turns them into ions?
Answer choice: (A) convection (B) chemical reactions (C) evaporation (D) radiation<|im_end|>
<|im_start|>assistant
<think>
</think>
Long-term or high-dose exposure to radiation can harm both living and nonliving things. Radiation knocks elect... | 5,838 |
<|im_start|>user
In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?
Answer Choices: (A) 3 years (B) 2 years (C) 4 years (D) 1 year (E) 5 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = Rs. 1000; Amount = Rs. 1331; Rate = 10% p.a. Let the time be n years. Then,
[ 1000 (... | 75,148 |
<|im_start|>user
If a and b are the roots of the equation x2 - 4x + 4 = 0, then the value of a2 + b2 is:
Answer Choices: (A) 36 (B) 24 (C) 17 (D) 8 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.(b) The sum of roots = a+ b = 4
Product of roots = ab = 4
Now, a2 + b2 = (a + b)2 - 2ab = 16 - 8 = 8
The answer... | 50,145 |
<|im_start|>user
If a sum of money doubles itself in 5 years at simple interest, the ratepercent per annum is
Answer Choices: (A) 12 (B) 12.5 (C) 20 (D) 13.5 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let sum = x then Simple Interest = x
Rate = (100 * x) / (x * 5) = 20
Option C
The answer is... | 76,294 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved true by research or observation.
George Washington became president of the United States in 1789.
This statement is a fact. It can be proved by researching what year George Washington w... | 848 |
<|im_start|>user
In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number ... | 31,642 |
<|im_start|>user
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Answer Choices: (A) 56.8 m2 (B) 82.9 m2 (C) 52.8 m2 (D) 17.9 m2 (E) 72.9 m2<|im_end|>
<|im_start|>assistant
<think>
</think>
42/360 * 22/7 * 12 * 12
= 52.8 m2
The answer is C<|endoftext|> | 80,514 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 955 |
<|im_start|>user
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 276 m (B) 167 m (C) 245 metres (D) 167 m (E) 178 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time
= 30 sec Let the length... | 23,501 |
<|im_start|>user
The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Answer Choices: (A) Rs. 2200 (B) Rs. 2300 (C) Rs. 2400 (D) Rs. 2480 (E) Rs. 2490<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the... | 43,031 |
<|im_start|>user
What is the process bacteria use to break down chemicals into food?
Answer choice: (A) biosynthesis (B) gametogenesis (C) cellular respiration (D) chemosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
The bacteria that make food from chemicals are also primary producers. These organisms do ... | 5,214 |
<|im_start|>user
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 2145, and if 1< p < q < r < s, how many students in the class are marketing majors?
Answer Choices: (A) 3 (B) 5 (C) 8 (D) 1... | 65,852 |
<|im_start|>user
A train 200m long passes a standing man in 15 seconds. What is the speed of the train?
Answer Choices: (A) 30km/hr (B) 36km/hr (C) 48km/hr (D) 50km/hr (E) 32km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train = 200/15* 18/5 = 48km/hr
The answer is C<|endoftext|> | 66,733 |
<|im_start|>user
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 14,000?
Answer Choices: (A) 50,000 (B) 750,000 (C) 850,000 (D) 1,400,000,000 (E) 750,000,000<|im_end|... | 29,686 |
<|im_start|>user
A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
Answer Choices: (A) 16 m (B) 77 m (C) 44 m (D) 28 m (E) 11 m<|im_end|>
<|im_start|>assistant
<think>
</think>
n:
Speed Ratio =... | 46,936 |
<|im_start|>user
A shopkeeper sells 600 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Answer Choices: (A) 12 (B) 27 (C) 29 (D) 35 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
SP per metre = 18000/600 = Rs. 40 Loss per metre = Rs. 5 CP per metre = 40 ... | 75,849 |
<|im_start|>user
A vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 80 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14<|im_end|... | 9,307 |
<|im_start|>user
If there are 5 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Answer Choices: (A) 32 (B) 24 (C) 56 (D) 44 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Firstly, there are 5 ways to choose 3 groups f... | 54,456 |
<|im_start|>user
Ram get 450 marks in his exam which is 90% of total marks. What is the total marks?
Answer Choices: (A) 475 (B) 600 (C) 550 (D) 500 (E) 525<|im_end|>
<|im_start|>assistant
<think>
</think>
X * (90/100) = 450
X = 5 * 100
X = 500
The answer is D<|endoftext|> | 17,554 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 150 m (B) 175 m (C) 120 m (D) 145 m (E) 165 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(60 * 5/18) m/sec = (50/3) m/sec
Length of the train= (Speed x Time) = (50/3 ... | 75,064 |
<|im_start|>user
(69842 x 69842 - 30158 x 30158) / (69842 - 30158) = ?
Answer Choices: (A) 100000 (B) 69842 (C) 39684 (D) 30158 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Given expression = [(69842)2 - (30158)2] / [(69842 - 30158)]
= [ (69842 - 30158) (69842 + 30158) ] / (60842 - 30158)
= 100000... | 21,245 |
<|im_start|>user
Ram borrowed some money at the rate of 6% p.a. for the first three years, 8% p.a.for the next six years and 10% p.a.for the period beyond nine years If the total interest paid by him at the end of 12 years is 19200, how much money did he borrow?
Answer Choices: (A) 18,000 (B) 10,000 (C) 25,000 (D) 20,0... | 60,280 |
<|im_start|>user
Two taps can separately fill a cistern 5 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Answer Choices: (A) A) 7 (B) B) 6 (C) C) 8 (D) D) 9 (E) E) 4.74<|im_end|>
<|im_start|>assistant
<think>
<... | 63,737 |
<|im_start|>user
Find the average of all even numbers upto 75.
Answer Choices: (A) 35 (B) 36 (C) 38 (D) 34 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
Average of all even numbers upto 75 = [ 35/2* ( first even number +
greatest even number before 75) ]/35
= ½ *(2 +74 )
= 76/2
= 38.
The answer is C<|endoft... | 63,267 |
<|im_start|>user
How many four digit even numbers do not use any digit more than once
Answer Choices: (A) 1720 (B) 2160 (C) None of these (D) 2460 (E) 2520<|im_end|>
<|im_start|>assistant
<think>
</think>
The Way i solved it is
A B C D ( thousand , hundreds, tens, units)
D can be 0 2 4 6 8 ( any of the 5 digits )
A c... | 2,460 |
<|im_start|>user
Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 22.5 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of ba... | 75,112 |
<|im_start|>user
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Answer Choices: (A) 37 1/2 days (B) 22 days (C) 31 days (D) 22 days (E) 25 1/2 days<|im_end|>
<|im_start|>assistant
<think>
</th... | 88,624 |
<|im_start|>user
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Answer Choices: (A) Rs. 2160 (B) Rs. 3120 (C) Rs. 3972 (D) Rs. 6240 (E) Rs. 6000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 a... | 74,794 |
<|im_start|>user
If Nick gains 10 pounds, he will weigh 50% more than his brother. Currently, their combined weight is 340 pounds. What is Nick's current weight?
Answer Choices: (A) 140 (B) 160 (C) 170 (D) 190 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
Given: N+B = 340
N+10 = 1.5B
N+B = 340
Add 10 to bo... | 20,446 |
<|im_start|>user
A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily... | 7,035 |
<|im_start|>user
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Answer Choices: (A) 7 years. (B) 8 years. (C) 9 years. (D) 10 years. (E) 11 years.<|im_end|>
<|im_start|>assistant
<think>
</think>
EXPLANATION
Let C’s age be x years. Then, B’s age =... | 61,082 |
<|im_start|>user
If a tire rotates at 400 revolutions per minute when the car is traveling 120km/h, what is the circumference of the tire?
Answer Choices: (A) 2 meters (B) 6 meters (C) 5 meters (D) 3 meters (E) 7 meters<|im_end|>
<|im_start|>assistant
<think>
</think>
400 rev / minute = 400 * 60 rev / 60 minutes
= 24... | 17,885 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 2,761 |
<|im_start|>user
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Answer Choices: (A) 3 : 4 (B) 3 : 5 (C) 4 : 3 (D) 7 : 8 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let P's age and Q's age be 6x years a... | 36,463 |
<|im_start|>user
How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
Answer Choices: (A) 6 (B) 9 (C) 8 (D) 12 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
C
8
112 pairs of shoes = 224 shoes.
= 224 ÷ 28
= 8.
The answer is C<|endoftext|> | 78,414 |
<|im_start|>user
Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
Answer Choices: (A) 1 (B) 2 (C) -1 (D) -3 (E) -4<|im_end|>
<|im_start|>assistant
<think>
</think>
C
-1
19x + 19y + 17 = -19x + 19y - 21
38x = -38 => x = -1
The answer is C<|endoftext|> | 79,742 |
<|im_start|>user
Find the L.C.M of 36,90,210
Answer Choices: (A) 630 (B) 2520 (C) 1260 (D) 1360 (E) 1460<|im_end|>
<|im_start|>assistant
<think>
</think>
36=2^2*3^2 90=3^2*2*5 210=2*5*3*7
L.C.M=2^2*3^2*5*7=1260
The answer is C<|endoftext|> | 37,321 |
<|im_start|>user
Solve below question 2x + 1 = -21
Answer Choices: (A) -11 (B) -9 (C) 9 (D) 8 (E) -7<|im_end|>
<|im_start|>assistant
<think>
</think>
2x + 1 = -21
x = -11
A
The answer is A<|endoftext|> | 8,317 |
<|im_start|>user
In the scientific method, what is the initial, unproven explanation for why something is occurring?
Answer choice: (A) concepts (B) idea (C) theories (D) hypothesis<|im_end|>
<|im_start|>assistant
<think>
</think>
The scientific method is not a step by step, linear process. It is a way of learning ab... | 11,576 |
<|im_start|>user
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many E applicants majored in political science and had a GPA higher than 3.0?
Answer Choices: (A) ... | 43,893 |
<|im_start|>user
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Answer Choices: (A) 1 (B) 14 (C) 20 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 ... | 97,070 |
<|im_start|>user
If log 27 = 1.431, then the value of log 9 is:
Answer Choices: (A) 0.934 (B) 0.954 (C) 0.955 (D) 0.945 (E) 0.96<|im_end|>
<|im_start|>assistant
<think>
</think>
log 27 = 1.431
Log 3^3 = 1.431
log 3 = 0.477
log 9 = log(3^2) = 2 log 3 = (2*0.477) = 0.954
The answer is D<|endoftext|> | 13,758 |
<|im_start|>user
a percent of b percent of c is decreased by y percent. What is the result?
Answer Choices: (A) (100abc - ab^2c) / 1,000,000 (B) (ac - b) / 100 (C) (ac - b) / 10,000 (D) (abc - 2b) / 100 (E) (abc - 2b) / 10,000<|im_end|>
<|im_start|>assistant
<think>
</think>
We're told that a percent of b percen... | 12,498 |
<|im_start|>user
16 boys or 24 girls can construct the wall in 6 days. the number of days that 4 boys and 12 girls Will take to construct?
Answer Choices: (A) 7 days (B) 14 days (C) 6 days (D) 8 days (E) 9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
16 boys =24 girls, 1 boy = 24/16 girls
1 boy ... | 57,095 |
<|im_start|>user
The average expenditure of a man for the first five months is Rs.300 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Answer Choices: (A) Rs.140 (B) Rs.150 (C) Rs.190 (D) Rs.225 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 49,061 |
<|im_start|>user
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Answer Choices: (A) Rs.482 (B) Rs.429 (C) Rs.480 (D) Rs.408 (E) Rs.428<|im_end|>
<|im_start|>assistant
<think>
</think>
SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
The answer is C<|en... | 57,682 |
<|im_start|>user
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 6 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Answer Choices: (A) 210 (B) 252 (C) 250 (D) 300 (E) 420<|... | 40,461 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 4,932 |
<|im_start|>user
If l is an integer, what is the greatest possible value for l that would still make the following statement true: 11*10^l < 1/10 ?
Answer Choices: (A) –4 (B) –3 (C) –2 (D) –1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
Just putting values, the LHS becomes
l=0 --> 11
l=-1 --> 11/10
l=-... | 73,472 |
<|im_start|>user
How many dimensions can humans see in?
Answer choice: (A) five (B) two (C) one (D) three<|im_end|>
<|im_start|>assistant
<think>
</think>
Humans can see in three dimensions and color.
The answer is D<|endoftext|> | 6,855 |
<|im_start|>user
On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 36 seconds. If they both start at the same time after how many seconds will they be side by side again.
Answer Choices: (A) 275 (B) 325 (C) 1980 (D) 425 (E) None of these<|im... | 9,080 |
<|im_start|>user
Four business people wish to invest in a new company. Each person is willing to pay one fourth of the total investment. After careful calculations, they realize that each of them would pay $6,200 less if they could find two more equal investors. How much is the total investment in the new business?
Ans... | 68,652 |
<|im_start|>user
Find out the square of a number which when doubled exceeds its one nineth by 17 ?
Answer Choices: (A) 16 (B) 25 (C) 81 (D) 26 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be p, then the square will be p^2
According to question:
2p = (p/9) + 17
=> 18p = p + 153
=> p = 9
p^2 =... | 95,267 |
<|im_start|>user
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?
Answer Choices: (A) 9 kmph (B) 11 kmph (C) 12 kmph (D) 15 kmph (E) 18 kmph<|im_end|>
<|im_start|>... | 18,256 |
<|im_start|>user
Given 2x + y + z = 3 and 5x + 3y + z = 15, what is the value of x + y - z?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(1) 5x + 3y + z = 15
If 2x + y + z = 3, then (2) 4x + 2y + 2z = 6
Let's subtract equation (2) for equation (1).
x + y - z = 9
The a... | 1,764 |
<|im_start|>user
The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
Answer Choices: (A) 40 days (B) 20 days (C) 30 days (D) 50 days (E) 45 days<|im_end|>
<|im_start|>assistant
<think>
</think>
one man can consume the same food in 30*40 = 1200 days.
10 more men joi... | 52,328 |
<|im_start|>user
A woman buys a soccer ball for rs.9.00 and sells it for rs.12.00. Find her gain %.
Answer Choices: (A) 36.33% (B) 9% (C) 33.33% (D) 24% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
sol. cp=rs 9.00, sp=rs 12.00
gain=rs(12.00 –9.00)=rs 3.00
so gain%={(3.00/9.00)*100}=33.33%
The answer is C<... | 66,782 |
<|im_start|>user
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is:
Answer Choices: (A) 48 runs (B) 50 runs (C) 70 runs (D) 75 runs (E) 80 runs<|im_end|>
<|im_start|>assistant
<think>
</think>
Let average for 10 ... | 45,344 |
<|im_start|>user
As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 60%, what is the probability that Karen will be accepted to at l... | 6,007 |
<|im_start|>user
At Company X, senior sales representatives visit the home office once every 15 days, and junior sales representatives visit the home office once every 10 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visit... | 50,076 |
<|im_start|>user
What event occurs between the two solstices?
Answer choice: (A) Christmas (B) summer (C) equinox (D) Leap Year<|im_end|>
<|im_start|>assistant
<think>
</think>
Equinox comes halfway between the two solstices. At equinoxes, the Sun's rays shine most directly at the Equator ( Figure below ). The daylig... | 9,836 |
<|im_start|>user
If a positive integer n is divisible by both 2 and 7, then n must also be divisible by which of the following?
I. 14
II. 9
III. 42
Answer Choices: (A) None (B) I only (C) II only (D) I and II (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
A multiple of 2 and 7 is also a multiple of 1... | 94,135 |
<|im_start|>user
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Answer Choices: (A) 504 (B) 536 (C) 544 (D) 548 (E) 568<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
The answer is D<|endoftext|> | 96,173 |
<|im_start|>user
The volume of a cube is 1728 cc. Find its surface.
Answer Choices: (A) 864 (B) 277 (C) 299 (D) 268 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
a3 = 1728 => a = 12
6a2 = 6 * 12 * 12 = 864
The answer is A<|endoftext|> | 21,107 |
<|im_start|>user
Five boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Answer Choices: (A) A) 5^30 (B) B) 2^30 (C) C) 1^30 (D) D) 3^30 (E) E) 6^30<|im_end|>
<|im_start|>assistant
<think>
</think>
Each Mango can be given to any one of the five people or in other words..1 ma... | 57,850 |
<|im_start|>user
What is the value of n if the sum of the consecutive odd intergers R from 1 to n equals 169?
Answer Choices: (A) 47 (B) 25 (C) 37 (D) 33 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Before you tackle this question you must first understand that the question is comprised of two key parts, 1... | 62,964 |
<|im_start|>user
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 42 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Answer Choices: (A) 3% (B) 5... | 70,184 |
<|im_start|>user
A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?
Answer Choices: (A) 40 sec (B) 35 sec (C) 33 sec (D) 42 sec (E) 41 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken to cross a moving person = length of train/ re... | 24,501 |
<|im_start|>user
In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was
Answer Choices: (A) 900 (B) 800 (C) 700 (D) 600 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let total number... | 14,401 |
<|im_start|>user
8^100 is divisible by 17 then find the remainder?
Answer Choices: (A) 8 (B) 10 (C) 16 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an extremely difficult problem to solve with out Fermat's little theorem. By applying Fermat's little theorem , We know that 816 when divided by... | 47,244 |
<|im_start|>user
In how many different number of ways 9 men and 2 women can sit on a shopa which can accommodate persons?
Answer Choices: (A) A) 160 (B) B) 170 (C) C) 190 (D) D) 210 (E) E) 1663200<|im_end|>
<|im_start|>assistant
<think>
</think>
11p7 = 11 x 10 x 9 x 8 x 7 × 6 × 5 = 1663200
Option 'E'
The answer is E<... | 70,896 |
<|im_start|>user
An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Answer Choices: (A) 6.05 (B) 6.09 (C) 6.03 (D) 6.02 (E) 6.01<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
100 cm is read as 103 cm.
A1 =(100 × 100)cm2 ... | 26,498 |
<|im_start|>user
A thief is spotted by a policeman from a distance of 200metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 18km/hr and that of the policeman 22km/hr, how far the thief will have run before he is overtaken ?
Answer Choices: (A) A) 900m (B) B) 500m (C... | 38,609 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the kilometer.
Time tells you how long... | 6,414 |
<|im_start|>user
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Answer Choices: (A) 2 (B) 5 (C) 6 (D) 8 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
(n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3)... | 64,798 |
<|im_start|>user
2 students appeared at an examination. 1 of them secured 9 marks more than the other one and hismarks was 56% of the sum of their marks. Find the marks obtained by them are?
Answer Choices: (A) 39 and 31 (B) 40 and 33 (C) 42 and 33 (D) 37 and 31 (E) 35 and 32<|im_end|>
<|im_start|>assistant
<think>
</... | 79,696 |
<|im_start|>user
A shop sells bicycles and tricycles. In total there are 8 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Answer Choices: (A) b=2,t=3 (B) b=5,t=3 (C) b=6,t=2 (D) b=2,t=5 (E) b=3,t=4<|im... | 80,656 |
<|im_start|>user
Exposure to toxins is most damaging during weeks 4 through 8 of the embryonic stage due to development of what during this period?
Answer choice: (A) samples (B) faith (C) pain (D) organs<|im_end|>
<|im_start|>assistant
<think>
</think>
Embryonic Development (Weeks 4–8). Most organs develop in the em... | 6,167 |
<|im_start|>user
If x + y + z + w = 15, then at least k of the numbers x, y, z, w must be positive, where k is :
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
straight forward question if you realize that 4 negative numbers when added can NEVER give you a positive sum.... | 52,840 |
<|im_start|>user
The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 32 ?
Answer Choices: (A) 440 (B) 512 (C) 550 (D)... | 9,585 |
<|im_start|>user
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.
Answer Choices: (A) 200 km (B) 220 km (C) 224 km (D) 230 km (E) 254 km<|im_end|>
<|im_start|>assistant
<think>
</think>
distance =... | 63,235 |
<|im_start|>user
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Answer Choices: (A) 10 a.m (B) 09 a.m (C) 11 a.m (D) 05 a.m (E) 06 a.m<|im_end|>
<|im_s... | 65,055 |
<|im_start|>user
What is the probability W of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Answer Choices: (A) 1/13 (B) 1/20 (C) 1/26 (D) 1/50 (E) 1/100<|im_end|>
<|im_start|>assistant
<think>
</think>
Why do you calculate the total ... | 11,541 |
<|im_start|>user
The HCF of three numbers is 23. If they are in the ratio of 1 : 2 : 3, then find the numbers ?
Answer Choices: (A) 69, 15, 22 (B) 23, 46, 69 (C) 25, 31, 41 (D) 23, 21, 35 (E) 23, 24, 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers are N, 2N and 3N.
Where, N = HCF
Given that, N = 2... | 63,072 |
<|im_start|>user
N = 1/3 + 1/4
What is the value of N?
Answer Choices: (A) 7/12 (B) 1/6 (C) 1/8 (D) 5/17 (E) 12/7<|im_end|>
<|im_start|>assistant
<think>
</think>
To sum 1/3 and 1/4
Multiply both sides by 12
12 * N = 12 * 1/3 + 12 * 1/4
12 * N = 4 + 3
N = 7/12
The answer is A<|endoftext|> | 47,565 |
<|im_start|>user
365:90::623:?
Answer Choices: (A) 36 (B) 45 (C) 123 (D) 63 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
365---3*6*5....90
623---6*2*3....36
The answer is A<|endoftext|> | 9,113 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down from biological parents to their offspring through genes. Gen... | 3,090 |
<|im_start|>user
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent W above the cost price were his articles marked?
Answer Choices: (A) 100% (B) 80% (C) 75% (D) 66+2/3% (E) 50%<|im_end|>
<|... | 63,194 |
<|im_start|>user
The length of a rectangle is 3 times its width. If the width of the rectangle is 4 inches, what is the rectangle's area, in square inches?
Answer Choices: (A) 30 square inches (B) 75 square inches (C) 68 square inches (D) 48 square inches (E) 92 square inches<|im_end|>
<|im_start|>assistant
<think>
</... | 82,441 |
<|im_start|>user
If f(x)=4x−1 and g(x)=2x+2 for all integers, which of the following is a possible value of g(f(x))?
Answer Choices: (A) -23 (B) -17 (C) 2 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
g(f(x)) = 2*f(x)+2 = 2*(4x-1)+2 = 8x
Of these five options, only 16 has the form 8x.
The answer is D... | 38,480 |
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