text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A batsman in his 10th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’.
Answer Choices: (A) 47 (B) 53 (C) 39 (D) 43 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
Average score before 10th innings
= 8... | 78,430 |
<|im_start|>user
The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 25 terms of set X?
Answer Choices: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>... | 95,465 |
<|im_start|>user
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:20 a.m., how long will the con... | 63,653 |
<|im_start|>user
Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 6 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights whic... | 33,306 |
<|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... | 6,250 |
<|im_start|>user
As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he ... | 17,297 |
<|im_start|>user
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Answer Choices: (A) 11.4 (B) 11.3 (C) 11.8 (D) 11.5 (E) 11.1<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 1... | 13,609 |
<|im_start|>user
If an investor puts $900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Answer Choices: (A) $986.25 (B) $988.25 (C) $990.25 (D) $992.25 (E) $994.25<|im_end|>
<|im_start|>assistant
<think>
</think>
1.05*1.05*900... | 4,161 |
<|im_start|>user
What is the sum of all the composite numbers up to 18?
Answer Choices: (A) 228 (B) 112 (C) 80 (D) 96 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 +18 = 112
The answer is B<|endoftext|> | 16,546 |
<|im_start|>user
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 4| + |-b| + |b – a| + |ab| =
Answer Choices: (A) a-b+4 (B) ab-b+4 (C) ab + 2b + 4 (D) 2ab+b+2 (E) ab+2b+2<|im_end|>
<|im_start|>assistant
<think>
</think>
Observation-1: |a – b| = b – a
which is possible only when signs of a and b are ... | 56,836 |
<|im_start|>user
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Answer Choices: (A) 342 km (B) 390 km (C) 642 km (D) 742 km (E) 382 km<|im_end|>
<|im_start|>assistan... | 95,902 |
<|im_start|>user
What does the driving of turbines by the heating of water to steam accomplish?
Answer choice: (A) depletion of electricity (B) diffusion of electricity (C) absorption of electricity (D) generation of electricity<|im_end|>
<|im_start|>assistant
<think>
</think>
Nuclear reactors heat water to steam to ... | 220 |
<|im_start|>user
Alkenes react with what to form dihalides?
Answer choice: (A) antioxidants (B) halogens (C) amines (D) oxides<|im_end|>
<|im_start|>assistant
<think>
</think>
Alkenes can react with halogens to form dihalides.
The answer is B<|endoftext|> | 7,599 |
<|im_start|>user
If Tim had lunch at $50.50 and he gave 15% tip, how much did he spend?
Answer Choices: (A) $58 (B) $60.60 (C) $70.60 (D) $40.60 (E) $50.60<|im_end|>
<|im_start|>assistant
<think>
</think>
The tip is 20% of what he paid for lunch. Hence
tip = 15% of 50.50 = (15/100)*50.50 = $7.575
Total spent
50.50 + ... | 51,981 |
<|im_start|>user
A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
A. 63 B. 28?
Answer Choices: (A) 11 (B) 28 (C) 16 (D) 19 (E)... | 36,909 |
<|im_start|>user
How many digits are required to number a book containing 250 pages?
Answer Choices: (A) 756 (B) 642 (C) 492 (D) 372 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
9 pages from 1 to 9 will require 9 digits.
90 pages from 10 to 99 will require 90*2=180 digits.
250-(90+9)=151 pages will requir... | 14,037 |
<|im_start|>user
If a – 8 = b, then determine the value of | a - b| - | b - a|.
Answer Choices: (A) 16 (B) 0 (C) 4 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.(b) | a - b| = |8| = 8
=> | b - a| = |-8| = 8
=> | a - b| - | b - a| = 8 - 8 = 0.
The answer is B<|endoftext|> | 77,234 |
<|im_start|>user
Lava erupts through long cracks in the ground, also called what?
Answer choice: (A) ridges (B) fissures (C) crevasses (D) faults<|im_end|>
<|im_start|>assistant
<think>
</think>
At divergent plate boundaries hot mantle rock rises into the space where the plates are moving apart. As the hot mantle roc... | 7,639 |
<|im_start|>user
A’s speed is 16/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Answer Choices: (A) 1/8 (B) 1/16 (C) 1/15 (D) 1/32 (E) 1/31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the fraction of t... | 72,479 |
<|im_start|>user
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $15. If the price per share of stock K was $16 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Answer Choices: (A) 1.4% (B) 5.9% (C) 11.1% (D) 6.67% (... | 71,626 |
<|im_start|>user
During the last four years, a large truck company purchased diesel at rates of $1.2, $1.3, $1.8 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Answer Choices: (A) $2.5 (B) $2.55 (C) $1.52 (D) $3.25 (E... | 57,992 |
<|im_start|>user
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55, then how long is the base of isosceles triangle?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 28,784 |
<|im_start|>user
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Answer Choices: (A) 230 m (B) 240 m (C) 260 m (D) 320 m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</... | 14,846 |
<|im_start|>user
What is responsible for many properties of covalent compounds, which have relatively low boiling points, cannot conduct electricity, and may not dissolve in water?
Answer choice: (A) ionic charge (B) accretion bonds (C) covalent bonds (D) atomic weight<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 4,543 |
<|im_start|>user
The average employee age of a certain company which has 80 employees is 38. One employee aged 60 got retired and replaced by a fresher of age 22. What is the new average age of employees?
Answer Choices: (A) 35.5 (B) 36.2 (C) 36.8 (D) 37.5 (E) 38.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum... | 5,877 |
<|im_start|>user
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 18 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Answer Choices: (A) 2/1 (B) 4/3 (C) 2/3 (D) 3/4 (E) 3/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that Milk/Water=... | 2,662 |
<|im_start|>user
A box contains 4 red chips and 5 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Answer Choices: (A) 1/2 (B) 5/9 (C) 7/12 (D) 2/3 (E) 7/10<|im_end|>
<|im_start|>assistant
<think>
</think>
Total selection ways: 9C2=9!/5!... | 46,855 |
<|im_start|>user
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the mee... | 77,015 |
<|im_start|>user
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Answer Choices: (A) 2506 (B) 2550 (C) 2450 (D) 3000 (E) 3500<|im_end|>
<|im_start|>assistant
<think>
</think>
358/179 ….. 895/179
179(2 + 3 + 4 + 5) => 2506
The answer is A<|endoftext|> | 19,039 |
<|im_start|>user
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Answer Choices: (A) 87 km/hr (B) 88 km/hr (C) 87.5 km/hr (D) 67 km/hr (E) 77 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of two trains be 7x ... | 66,189 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A letter starts with a greeting and ends with a closing. For each one, capitalize the first word and end with a comma. You should also capitalize proper nouns, such as Aunt Sue.
Dear Aunt Sue,
I'm glad you could come to my p... | 346 |
<|im_start|>user
A cistern which could be filled in 6 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Answer Choices: (A) 76 hrs (B) 99 hrs (C) 15 hrs (D) 90 hrs (E) 11 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
1/6 - 1/x = 1/... | 21,973 |
<|im_start|>user
63 + 5 * 12 / (180/3) = ?
Answer Choices: (A) 22 (B) 77 (C) 29 (D) 64 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
63 + 5 * 12 / (180/3) = 63 + 5 * 12 / (60)
= 63 + (5 * 12)/60 = 63 + 1 = 64.
The answer is D<|endoftext|> | 2,771 |
<|im_start|>user
How many months are in 3 years?
Answer Choices: (A) 48 (B) 12 (C) 30 (D) 36 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
D. 36 months
The answer is D<|endoftext|> | 17,267 |
<|im_start|>user
sushi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If sushi 's savings by the end of the year from these monthly savings were seven times the amount she spent per month, what should be the fraction of her salary that she spent each ... | 81,270 |
<|im_start|>user
Parenchymal, collenchymal, and sclerenchymal cells are associated with what types of living things?
Answer choice: (A) primates (B) parasites (C) plants (D) fungi<|im_end|>
<|im_start|>assistant
<think>
</think>
Different types of plant cells include parenchymal, collenchymal, and sclerenchymal cells... | 11,516 |
<|im_start|>user
A class of students appeared in two different tests of quantitative ability both of which were scored out of 100. The scores of each student in each test could be expressed as a product of two distinct prime numbers. If a student’s scores in the two tests did not have any common prime factors, what is ... | 65,621 |
<|im_start|>user
A, B and C can do a work in 6, 9 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Answer Choices: (A) Rs.245.8 (B) Rs.653.8 (C) Rs.300 (D) Rs.400 (E) Rs.748.5<|im_end|>
<|im_start|>assistant
<think>
</think>
WC = 1/6:1/9:1/12 => 6:4:3
4/13 * 1800 = 653... | 57,646 |
<|im_start|>user
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
Answer Choices: (A) 10% (B) 16% (C) 70% (D) 80% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the rat... | 5,794 |
<|im_start|>user
There are only four possible bases that make up each dna nucleotide: adenine, guanine, thymine, and?
Answer choice: (A) cytosine (B) taurine (C) phenylalanine (D) guarine<|im_end|>
<|im_start|>assistant
<think>
</think>
The only difference between each nucleotide is the identity of the base. There ar... | 7,476 |
<|im_start|>user
Convert 200 inches into centimeter?
Answer Choices: (A) 512cm (B) 520cm (C) 508cm (D) 510cm (E) 554cm<|im_end|>
<|im_start|>assistant
<think>
</think>
1 inch = 2.54cm
200 inches = 200*2.54 = 508cm
The answer is C<|endoftext|> | 62,634 |
<|im_start|>user
If 4XZ + YW = 10 and XW + YZ = 20, what is the value of the expression (2X + Y)(2Z + W)?
Answer Choices: (A) 9. (B) 12. (C) 15. (D) 50. (E) 18.<|im_end|>
<|im_start|>assistant
<think>
</think>
(2x+y)*(2z+w) = 10+2(20) =50
The answer is D<|endoftext|> | 10,977 |
<|im_start|>user
Most thoracic vertebrae have two facets that articulate with the head of what structure?
Answer choice: (A) rib (B) calf (C) heart (D) pelvic<|im_end|>
<|im_start|>assistant
<think>
</think>
Thoracic Vertebrae The bodies of the thoracic vertebrae are larger than those of cervical vertebrae (Figure 7.... | 1,201 |
<|im_start|>user
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 20 kmph (B) 40 kmph (C) 30 kmph (D) 55 kmph (E) 68 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 + 25)/2 = 30
The answer is C<|endoftext|... | 32,010 |
<|im_start|>user
I bought two books; for Rs.450. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 337 (B) 262.5 (C) 299.5 (D) 266.5 (E) 299<|im_end|>
<|im_start|>assistant
<think>
</think>
x*(85/... | 68,959 |
<|im_start|>user
The average of first 20 natural numbers is?
Answer Choices: (A) 5.6 (B) 10.5 (C) 10.1 (D) 5.8 (E) 5.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of 20 natural no.
= 420/2 = 210
Average = 210/20
= 10.5
The answer is B<|endoftext|> | 51,793 |
<|im_start|>user
The side of a square is increased by 20% then how much % does its area increases?
Answer Choices: (A) 52.65 (B) 56.25 (C) 44 (D) 42.75 (E) 52.75<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 100 a2 = 10000
a = 120 a2 = 14400
----------------
10000 --------- 4400
100 -------? => 44 %
The answer... | 46,740 |
<|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... | 4,251 |
<|im_start|>user
what is rate of interest if principal.amount be 400,simple interest 120 and time 2year.
Answer Choices: (A) 10 (B) 12.5 (C) 25 (D) 12 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
s.i=(p*r*t)/100
120=800r/100
r=120/8=15%
The answer is E<|endoftext|> | 26,919 |
<|im_start|>user
A library has an average of 660 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Answer Choices: (A) 250 (B) 276 (C) 280 (D) 310 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the month begins with sun... | 20,756 |
<|im_start|>user
The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 40%?
Answer Choices: (A) 4 (B) 6 (C) 5 (D) 2 (E) 8<|im_end|>
<|im_start|>... | 45,397 |
<|im_start|>user
Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
A
The answer is A<|endoftext|> | 31,523 |
<|im_start|>user
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Answer Choices: (A) 1350 (B) 1197 (C) 1927 (D) 1112 (E) 1921<|im_end|>
<|im_start|>assistant
<think>
</think>
Area = (l + b +2... | 73,027 |
<|im_start|>user
The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2reductions together are equalto a single reduction of
Answer Choices: (A) 39 (B) 45 (C) 60 (D) 56 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original price of the cycle be 100. After the firs... | 30,980 |
<|im_start|>user
The L.C.M. of 2 numbers is 30. The numbers are in the ratio 2:3. Find their sum?
Answer Choices: (A) 36 (B) 25 (C) 48 (D) 32 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 2x and 3x
L.C.M. = 6x
6x = 30
x = 5
The numbers are = 10 and 15
Required sum = 10+15 = 25
The answer ... | 67,896 |
<|im_start|>user
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Answer Choices: (A) $150 (B) $545 (C) $214 (D) $332 (E) $199<|im_end|>
<|im_start|>assistant
<think>
... | 85,108 |
<|im_start|>user
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Answer Choices: (A) 234 (B) 255 (C) 256 (D) 267 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 –... | 12,269 |
<|im_start|>user
Dhoni bought 5 shirts with the average cost of $60. If David also buys the sixth shirt with the price of $ 72, what is the average (arithmetic mean) price of those 6 toys?
Answer Choices: (A) $63 (B) $64 (C) $65 (D) $62 (E) $66<|im_end|>
<|im_start|>assistant
<think>
</think>
5 shirts-> Total cost = ... | 49,378 |
<|im_start|>user
When n is divided by 5 the remainder is 3. What is the remainder when (n + 1)^2 is divided by 5?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 5x+3, for some integer x
(n+1)^2=(5x+4)^2=5y+16, for some integer y
When we divide this by 5, the remaind... | 37,902 |
<|im_start|>user
There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are red balls?
Answer Choices: (A) 1/3 (B) 1/6 (C) 5/12 (D) 5/24 (E) 7/24<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways of choosing 3 balls fr... | 51,702 |
<|im_start|>user
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Answer Choices: (A) 5568 (B) 6369 (C) 5460 (D) 5635 (E) 6734<|im_end|>
<|im_start|>assistant
<think>
</think>
5000 * 104/100 * 105/100
=> 5460
The answer is C<|endoftext|> | 81,432 |
<|im_start|>user
Today is Monday. After 61 days, it will be
Answer Choices: (A) Sunday (B) Saturday (C) Monday (D) Thursday (E) Wednesday<|im_end|>
<|im_start|>assistant
<think>
</think>
61 days = 8 weeks 5 days = 5 odd days
Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)
= Saturday
The an... | 69,736 |
<|im_start|>user
A no.when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Answer Choices: (A) 3 (B) 6 (C) 9 (D) 11 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
221 + 43 = 264/17 = 9 (Remainder)
C
The answer is C<|endoftext|> | 36,094 |
<|im_start|>user
Rajesh can finish 1/6 of his home work in one hour. Seema can finish 3/7 of
her homework in 70 minutes and Ramya can finish 3/4 of her homework in
three and a half hours. If all of them start their home work at 12.00 PM and can
go to play as soon as they all finish their homework. When can they start t... | 77,196 |
<|im_start|>user
In one hour, a boat goes 19 km/hr along the stream and 9 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Answer Choices: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) 16 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the speed downstream be ... | 74,011 |
<|im_start|>user
For which of the following functions does f(−u)=−f(u) for all real number values of x?
Answer Choices: (A) u^8 (B) −u^6 (C) u^5 (D) u^9/(u^5+1) (E) 1/(x^2+1) <|im_end|>
<|im_start|>assistant
<think>
</think>
f(-u) = (-u)^5 = -u*u^4
-f(u) = -u^5
C
The answer is C<|endoftext|> | 15,281 |
<|im_start|>user
When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of W?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
A simple and ele... | 36,241 |
<|im_start|>user
What is the perimeter of a square field whose diagonal is 8√2?
Answer Choices: (A) 64 m (B) 32 m (C) 30 m (D) 16 m (E) 18 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
a√2=b√2 ->a=8
4a = 32 m
The answer is B<|endoftext|> | 91,022 |
<|im_start|>user
Sum of products of three numbers taken two at a time is 131. Sum of squares of the three numbers is 138. What is the sum of the three numbers?
Answer Choices: (A) 25 (B) 30 (C) 20 (D) 22 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
All the data given in the question points to ... | 60,011 |
<|im_start|>user
In a certain alphabet, 11 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Answer Choi... | 59,255 |
<|im_start|>user
If 9^y = 3^12, what is y?
Answer Choices: (A) 1 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
3^2y = 3^12
2y=12, therefore y=6
E
The answer is E<|endoftext|> | 33,447 |
<|im_start|>user
Each of the 48 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 15 students sign up for the poetry club, 23 students for the history cl... | 94,119 |
<|im_start|>user
A batsman hits a score of 78 runs in the 16th inning and thus increases his average by 4. Find his average after 16th inning.
Answer Choices: (A) 13 (B) 18 (C) 27 (D) 39 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the average after 16th inning = x.
Average after 15th inn... | 27,838 |
<|im_start|>user
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed W ?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 16<|... | 4,241 |
<|im_start|>user
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 250 km of the tour is:
Answer Choices: (A) 55.55 km/hr (B) 35.55 km/hr (C) 71.11 km/hr (D) 36 km/hr (E) 71 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = 160/64 +... | 92,795 |
<|im_start|>user
The maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Answer Choices: (A) 25 (B) 30 (C) 20 (D) 45 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
number of pens = 1340
num... | 34,014 |
<|im_start|>user
The 323rd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
Answer Choices: (A) u (B) v (C) w (D) y (E) z<|im_end|>
<|im_start|>assistant
<think>
</think>
a is one time, b,2 times so on...
so 323=n(n+1)/2..
0r n(n+1)= 646... now 25*26=650...24*25<646 so n= 25. and 25th alphabet... | 59,459 |
<|im_start|>user
What is the name of the muscle that contracts to cause the joint to straighten?
Answer choice: (A) flexor (B) extensor (C) abductor (D) opposing<|im_end|>
<|im_start|>assistant
<think>
</think>
Muscles can only contract. They cannot actively extend, though they can move or relax back into the non-con... | 4,318 |
<|im_start|>user
The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Answer Choices: (A) 54 (B) 32 (C) 75 (D) 28 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 88,445 |
<|im_start|>user
Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
Answer Choices: (A) 15 (B) 14 (C) 10 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
The answer is C<|endoftext|> | 46,283 |
<|im_start|>user
What term refers to the emission of material or energy from an atom's nucleus?
Answer choice: (A) smog (B) microscopic (C) stasis (D) radioactivity<|im_end|>
<|im_start|>assistant
<think>
</think>
Radioactivity involves the spontaneous emission of material and/or energy from the nucleus of an atom. T... | 2,039 |
<|im_start|>user
Sexually reproducing organisms alternate between which stages?
Answer choice: (A) binary and diploid (B) binary and haploid (C) haploid and diploid (D) diploid and traploid<|im_end|>
<|im_start|>assistant
<think>
</think>
CHAPTER SUMMARY 7.1 Sexual Reproduction Nearly all eukaryotes undergo sexual re... | 476 |
<|im_start|>user
Air quality is a measure of what in the air?
Answer choice: (A) clouds (B) gases (C) water (D) pollutants<|im_end|>
<|im_start|>assistant
<think>
</think>
Air quality is a measure of the pollutants in the air. More pollutants mean poorer air quality. Poor air quality started to become a serious probl... | 9,977 |
<|im_start|>user
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Answer Choices: (A) 50... | 18,371 |
<|im_start|>user
What form when water vapor condenses in the air around specs of matter?
Answer choice: (A) clouds (B) humidity (C) storms (D) condensation<|im_end|>
<|im_start|>assistant
<think>
</think>
Clouds form when water vapor condenses in the air around specs of matter. Clouds are classified on the basis of w... | 6,147 |
<|im_start|>user
If the selling price of 10 articles is same as the cost price of 12 articles. Find the gain or loss percentage?
Answer Choices: (A) 10% (B) 20% (C) 30% (D) 32% (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the C.P of each article be Re 1. Then,
S.P of 10 articles = C.P of 12 articles ... | 71,306 |
<|im_start|>user
If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3)+ 2^(a + 4)+ 2^(a + 5) =
Answer Choices: (A) 3^(a + 1) (B) 2^(a + 1) (C) 2a (D) 2a^(a + 1) (E) 63(2^a) <|im_end|>
<|im_start|>assistant
<think>
</think>
If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3)+ 2^(... | 73,313 |
<|im_start|>user
Rajesh calculated his average over the last 24 tests and found it to be 76. He finds out that the marks for three tests have been inverted by mistake. The correct marks for these tests are 87, 79 and 98. What is the approximate percentage difference between his actual average and his incorrect average?... | 39,923 |
<|im_start|>user
If t,u, and v are positive integers and 2t=2u+2v, which of the following must be true?
i. t=u
ii. u is not equal to v
iii. t > v
Answer Choices: (A) None (B) I only (C) II only (D) III and I (E) III only<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice two things: 1. we are asked to find out w... | 6,179 |
<|im_start|>user
1,3,5,7,9,.50 find term of sequnce
Answer Choices: (A) 1234 (B) 1367 (C) 1789 (D) 1568 (E) 2500<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an arithmetic progression, and we can write down
a=1a=1 ,d=2d=2 , n=50n=50 .
We now use the formula, so that
Sn=12n(2a+(n−1)l)Sn=12n(2a+(n−1)l)
S50=... | 78,907 |
<|im_start|>user
What is it called when multiple faults are located in close proximity to one another?
Answer choice: (A) fault zone (B) fog zone (C) crystal zone (D) solid zone<|im_end|>
<|im_start|>assistant
<think>
</think>
If the rocks on one or both sides of a fracture move, the fracture is called a fault ( Figu... | 10,837 |
<|im_start|>user
HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 10%
Answer Choices: (A) 36 (B) 40 (C) 32 (D) 42 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the weight of tea(25 per kg) to... | 54,623 |
<|im_start|>user
Mangala completes a piece of work in 15 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 8 days (B) 10 days (C) 11 days (D) 12 days (E) 14 days<|im_end|>
<|im_start|>assistant
<think>
</think>
I... | 31,762 |
<|im_start|>user
At a certain university, 68% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
Answer Choices: (A) 25 (B) 37.5 (C) 55 (D) 62.5 (E) 75<|im_end|>
<|im_start|>assistant
<think>
</think>
tota... | 11,788 |
<|im_start|>user
A bag contains 20 red and 30 white balls. One ball is drawn at random. What is the probability that the ball drawn is red?
Answer Choices: (A) 11/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 20+30 = 50
number of red balls = 20
Probability ... | 29,428 |
<|im_start|>user
A, B and C started a business by investing Rs. 45000, Rs. 55000 and Rs. 60000 respectively. At the end of a year, they got a total profit of Rs. 11200. Find how much B gets more than A in the profit?
Answer Choices: (A) Rs. 700 (B) Rs. 750 (C) Rs. 710 (D) Rs. 780 (E) None of these<|im_end|>
<|im_start|... | 15,481 |
<|im_start|>user
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Answer Choices: (A) 72 (B) 828 (C) 729 (D) 34 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi per... | 37,831 |
<|im_start|>user
There are some birds in cage, 1/3rd fly away . Then 2/5th of the remaining left the cage , then 2/3rd of the remaining left the cage . At last 8 were remaining . How many birds were in total ?
Answer Choices: (A) 60 (B) 27 (C) 28 (D) 26 (E) 91<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol:
If ... | 91,907 |
<|im_start|>user
The average (arithmetic mean) of 14, 32, and 53 is 3 more than the average of 21, 47, and x. What is x?
Answer Choices: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
The average of 14, 32, and 53 is 33.
The average of 21, 47 and x is 30.
Then 21 + 47 + x = 90.
x ... | 1,423 |
<|im_start|>user
What two cycles make up the female reproductive cycle?
Answer choice: (A) ovarian and cesarean (B) cervical and menstrual (C) ovarian and menstrual (D) digestive and menstrual<|im_end|>
<|im_start|>assistant
<think>
</think>
Female Hormones The control of reproduction in females is more complex. The ... | 3,771 |
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