text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
If q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of q ?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer is C.
numbers in format of 3^k in the series from 1 to 30 inclus... | 70,153 |
<|im_start|>user
If (a β b) is 7 more than (c + d) and (a + b) is 3 less than (c β d), then (a β c) is:
Answer Choices: (A) 6 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
(a β b) β (c + d) = 7 and (c β d) β (a + b) = 3
=> (a β c) β (b + d) = 7 and (c β a) β (b + d) = 3
=> (b + d) = (a β c)... | 1,918 |
<|im_start|>user
Many protists form what kind of beneficial association with other species?
Answer choice: (A) Facultative (B) evolved (C) Opportunistic (D) symbiotic<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 9,761 |
<|im_start|>user
A teacher gets paid $20 a day for in school classes. For extra classes outside of school, she charges $5 per hour for every child. If she teaches 25 students inside of school, and 12% of these students take extra classes for 4 hours. How much money does the teacher make for a week of five days total fr... | 87,893 |
<|im_start|>user
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 20. Which of the following integers is the higher of the remaining two integers?
Answer Choices: (A) 32 (B) 86 (C) 44 (D) 82 (E) 55<|im_end|>
<|im_sta... | 38,019 |
<|im_start|>user
What type of flexion is the bending of the neck or body toward the right or left side?
Answer choice: (A) orbital (B) cylindrical (C) lateral (D) ventral<|im_end|>
<|im_start|>assistant
<think>
</think>
Flexion and Extension Flexion and extension are movements that take place within the sagittal plan... | 6,701 |
<|im_start|>user
If a, b, t are integers, 33 = abt, and a < b < t, what is the smallest possible value of a?
Answer Choices: (A) -33 (B) -3 (C) 1 (D) 3 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Given : a * b * t = 33.
33 is a Positive Odd number.Side Note:Thus, all 3 numbers will be odd.
Prime factoriza... | 25,004 |
<|im_start|>user
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number... | 4,798 |
<|im_start|>user
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Answer Choices: (A) Rs.3250 (B) Rs.6250 (C) Rs.10250 (D) Rs.11750 (E) Rs.12750<|im_end|>
<|im_start|>assistant
<think>
</think>
200 + 130 = 330
800 -... | 49,247 |
<|im_start|>user
If (x + 2)^2 = 144, which of the following could be the value of 2x?
Answer Choices: (A) β26 (B) β22 (C) β11 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
You can also get to the answer by backsolving using answer choices
Starting with choice C = -14
(x + 2)^2 = 144
(-14 + 2)^2 = 144... | 48,441 |
<|im_start|>user
What can be linked together to form disaccharides or polysaccharides?
Answer choice: (A) amino acids (B) monosaccharides (C) carbohydrates (D) nitrates<|im_end|>
<|im_start|>assistant
<think>
</think>
Monosaccharides can be linked together to form disaccharides or polysaccharides.
The answer is B<|en... | 5,289 |
<|im_start|>user
Where is the pituitary gland?
Answer choice: (A) brain (B) thyroid (C) heart (D) lung<|im_end|>
<|im_start|>assistant
<think>
</think>
The regulation of Leydig cell production of testosterone begins outside of the testes. The hypothalamus and the pituitary gland in the brain integrate external and in... | 6,281 |
<|im_start|>user
A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 7 members, then what is the exact number of researchers required?
Answer Choi... | 52,594 |
<|im_start|>user
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 8 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
Answer Choices: (A) 5 (B) 9 (C) 10 (D) 12 (E) 15<|im_en... | 96,102 |
<|im_start|>user
A cyclist covers a distance of 500m in 4 min 30sec. What is the speed in km/hr of the cyclist?
Answer Choices: (A) 2 (B) 2.5 (C) 3.2 (D) 4.6 (E) 2.8<|im_end|>
<|im_start|>assistant
<think>
</think>
distance = 500 m
time = 4min 10 sec = 250 sec
speed = (500/250) m/s = 2m/s
speed in km/hr = 2*18/5 = 3.... | 72,255 |
<|im_start|>user
What type of ecologists work to identify and manipulate the processes that most limit recovery of ecosystems from disturbances?
Answer choice: (A) environmental (B) restoration ecologists (C) conservation ecologists (D) quality ecologists<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is... | 4,051 |
<|im_start|>user
The fourth proportional to 28, 14 and 18 is?
Answer Choices: (A) 2 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(14*18)/28 = 9
The answer is E<|endoftext|> | 67,909 |
<|im_start|>user
103,100,97,..,91,88,85
Insert the missing number
Answer Choices: (A) 88 (B) 78 (C) 94 (D) 98 (E) 108<|im_end|>
<|im_start|>assistant
<think>
</think>
Missing number : 94
The answer is C<|endoftext|> | 17,440 |
<|im_start|>user
If 25 toys cost Rs, 234, what do 35 toys cost?
Answer Choices: (A) 327.6 (B) 564.6 (C) 546.6 (D) 654.6 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required cost be Rs. x. Then,
More toys, More cost (Direct Proportion)
x=(35 X 234)/25 =327.60
The answer is A<|endoftext|> | 82,139 |
<|im_start|>user
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Answer Choices: (A) 187 cm (B) 800 cm (C) 216 cm (D) 278 cm (E) 272 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the square = s * s
= 5(125 * 64)
=> s ... | 10,318 |
<|im_start|>user
Fred and Sam are standing 50 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 5 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
Answer Choices: (A) 5 (B) 9 (... | 1,756 |
<|im_start|>user
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Answer Choices: (A) 10 am (B) 12 am (C) 10.30 am (D) 12.30 am (E... | 42,200 |
<|im_start|>user
In an examination, a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 290 marks, the number of questions he attempts correctly, is:
Answer Choices: (A) 60 (B) 80 (C) 70 (D) 45 (E) 50<|im_end|>
<|im_start|>assistant
<t... | 19,792 |
<|im_start|>user
A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Answer Choices: (A) 40 (B) 32 (C) 26 (D) 21 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 260 + 140 = 400 m
Required time = 400 * 2/25... | 57,692 |
<|im_start|>user
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price V per t-shirt that the vendor paid for these purchases?
Answer Choices: (A) $12.20 (B) $12.50 (C) $12.55 (D) $12.70 (E) $13.00<|im_end|>
<|im... | 65,106 |
<|im_start|>user
A car is running at a speed of 110kmph. What distance will it cover in 9sec?
Answer Choices: (A) 100m (B) 279m (C) 180m (D) 200m (E) 250m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 110kmph = 110*5/18 = 31 m/s
Distance covered in 9sec = 31*9 = 279m
The answer is B<|endoftext|> | 89,096 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull that acts on an object. Every force has a direction and a magnitude, or strength. If two forces act on an object in opposite directions, the forces are called opposing forces.
When opposing forces... | 667 |
<|im_start|>user
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 5. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each o... | 32,081 |
<|im_start|>user
What happens to the reaction rate over the course of a reaction?
Answer choice: (A) reverses (B) stays the same (C) speeds up (D) slows down<|im_end|>
<|im_start|>assistant
<think>
</think>
At the beginning of the reaction, only the reactants A and B are present. Recall that over the course of a reac... | 7,135 |
<|im_start|>user
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $48,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average s... | 29,213 |
<|im_start|>user
6, 11, 21, 36, 56, 81, 111, ?
Answer Choices: (A) 512 (B) 146 (C) 812 (D) 612 (E) 912<|im_end|>
<|im_start|>assistant
<think>
</think>
The pattern is + 5, + 10, + 15, + 20, + 25, + 30, + 35, + 40, + 45, + 50,....
The answer is B<|endoftext|> | 66,635 |
<|im_start|>user
A furniture manufacturer has two machines, but only one can be used at a time. Machine V is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine V can do the job in 12 days working two shifts and Machine B can do the job in 15 days w... | 80,977 |
<|im_start|>user
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Answer Choices: (A) 36 (B) 45 (C) 48 (D) 49 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Rela... | 61,062 |
<|im_start|>user
Electric generators change kinetic energy to what type of energy?
Answer choice: (A) thermal (B) light (C) intrinsic (D) electrical<|im_end|>
<|im_start|>assistant
<think>
</think>
Sources of voltage include electric generators and cells. Electric generators change kinetic energy to electrical energy... | 3,809 |
<|im_start|>user
In how many ways 6 Indians and 1 Englishmen can be seated in a row so that they are alternate?
Answer Choices: (A) 120 (B) 265 (C) 144 (D) 720 (E) 256<|im_end|>
<|im_start|>assistant
<think>
</think>
number of ways = 6!*1! = 720
The answer is D<|endoftext|> | 23,632 |
<|im_start|>user
Find the remainder when 6^50 is divided by 215
Answer Choices: (A) 34 (B) 35 (C) 36 (D) 37 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
(6^3)^16*6^2 /215
(215 + 1)^16 * 6^2/215
1^16 * 6^2/215
= 36
The answer is C<|endoftext|> | 55,333 |
<|im_start|>user
If 5 (A's capital) = 7 (B's capital) = 9 (C's capital). Then the ratio of their capitals is?
Answer Choices: (A) 63:55:35 (B) 63:45:38 (C) 62:45:35 (D) 63:45:35 (E) 63:44:35<|im_end|>
<|im_start|>assistant
<think>
</think>
5A = 7B = 9C
A:B:C = 1/5:1/7:1/9
= 63:45:35
The answer is D<|endoftext|> | 41,806 |
<|im_start|>user
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture?
Answer C... | 53,615 |
<|im_start|>user
Energy constantly changes back and forth between kinetic and what type of energy?
Answer choice: (A) practical (B) physical (C) mechanical (D) potential<|im_end|>
<|im_start|>assistant
<think>
</think>
Energy also constantly changes back and forth between kinetic and potential energy. Kinetic energy ... | 9,652 |
<|im_start|>user
Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Answer Choices: (A) 22 (B) 87 (C) 66 (D) 28 (E) 61<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? Γ¨ 28 m
The answer is ... | 87,646 |
<|im_start|>user
49 Γβ 49 = 7^?
Answer Choices: (A) 4 (B) 7 (C) 8 (D) 16 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
49 Γβ 49 = 7?
or, 7(2) Γβ 7(2) = 7?
or 7(4) = 7? or, ? = 4
The answer is A<|endoftext|> | 19,490 |
<|im_start|>user
When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 16 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in comm... | 29,550 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 2,611 |
<|im_start|>user
If the quantity 6^2+ 6^4 + 6^6 is written as (a + b)(a β b), in which both a and b are integers, which of the following could be the value of b?
Answer Choices: (A) 52 (B) 15 (C) 36 (D) 22 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
(a+b)(a-b) = a^2 - b^2
6^2+ 6^4 + 6^6 = 6^2 (1+6^2+6^4)
... | 90,994 |
<|im_start|>user
If xy > 0, which of the following must be negative?
Answer Choices: (A) x+y (B) x-y (C) -xy (D) -x * -y (E) x/y<|im_end|>
<|im_start|>assistant
<think>
</think>
x,y must both positive or both negative. so that mn > 0 is true
positive * negative = negative
The answer is C<|endoftext|> | 83,266 |
<|im_start|>user
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony ten hours from now... | 36,300 |
<|im_start|>user
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Answer Choices: (A) 230 m (B) 240 m (C) 260 m (D) 270 m (E) None of the Above<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (72 x(5/18))m/sec = 20 m/sec.
Time ... | 84,732 |
<|im_start|>user
For what value of x, is |x β 3| + |x + 1| + |x| = 11?
Answer Choices: (A) 0 (B) 3 (C) -3 (D) 4 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
For what value of x, is |x β 3| + |x + 1| + |x| = 11?
It's easiest just to plug in answer choices:
(C): -3
|x β 3| + |x + 1| + |x| = 11?
|-3 - 3|... | 67,048 |
<|im_start|>user
B is 8km East of A. C is 6km North of B. D is 12km East of C. E is 16km North of D. What is the distance b/w A and E.
Answer Choices: (A) 20km (B) 22km (C) 18km (D) 30km (E) 33km<|im_end|>
<|im_start|>assistant
<think>
</think>
it will make two rightangle triangles
1. 1st triangle ABC AB=8km & BC=6km... | 55,266 |
<|im_start|>user
A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?
Answer Choices: (A) (L+4) /3 (B) (L-4) /4 (C) (3L-4) /4 (D) (3L-1) /3 (E) (3L+4) /4<|im_end|>
<|im_start|>ass... | 26,733 |
<|im_start|>user
Halogens tend to form salts with what type of element?
Answer choice: (A) nonmetals (B) metals (C) metalloids (D) man-made<|im_end|>
<|im_start|>assistant
<think>
</think>
Halogens have filled valence electron configurations. Halogens tend to form salts with metals. As the free elements, halogens are... | 4,502 |
<|im_start|>user
How many numbers from 10 to 10000 are exactly divisible by 9?
Answer Choices: (A) 900 (B) 1000 (C) 1110 (D) 1200 (E) 1400<|im_end|>
<|im_start|>assistant
<think>
</think>
10/9 = 1 and 10000/9 = 1111 ==> 1111 - 1 = 1110. Therefore 1110
The answer is C<|endoftext|> | 91,564 |
<|im_start|>user
Some biochemical processes happen via sequences of reactions which are called what?
Answer choice: (A) synthesis (B) mutations (C) metabolism (D) pathways<|im_end|>
<|im_start|>assistant
<think>
</think>
Many biochemical processes occur through sequences of reactions called pathways. The total energy... | 3,944 |
<|im_start|>user
Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 36 seconds. The length of each train is:
Answer Choices: (A) 82m (B) 50m (C) 72m (D) 80m (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think... | 95,907 |
<|im_start|>user
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Answer Choices: (A) 2% (B) 4% (C) 6% (D) 9% (E) 2%<|im_end|>
<|im_start|>assistant
<think>
</think>
65*(90/100)*((100-x)/100) = 56.16
x = 4%
The... | 45,096 |
<|im_start|>user
If 7^e is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of e?
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
So the question just means that we have to find all the multiples e of 7 between 1 to 100
So ... | 56,893 |
<|im_start|>user
A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?
Answer Choices: (A) 10.9 (B) 10.2 (C) 10.7 (D) 10.8 (E) 10.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Total dista... | 89,737 |
<|im_start|>user
A fort had provision of food for 150 men for 50 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Answer Choices: (A) 29 1/5 (B) 37 1/4 (C) 42 (D) 54 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
we have food for 150 men for 50 days.
A... | 2,106 |
<|im_start|>user
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Answer Choices: (A) 42, 33 (B) 42, 36 (C) 44, 33 (D) 44, 36 (E) 45, 46<|im_end|>
<|im_start|>assistant
<think>
</think>
Explan... | 22,577 |
<|im_start|>user
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table?
Answer Choices: (A) 6727 (B) 6887 (C) 6728 (D) 6625 (E) 2871<|im_end|>
<|im_start|>assistant
<think>
</think>
:
CP = S... | 61,277 |
<|im_start|>user
The average of first twelve prime numbers which are odd is?
Answer Choices: (A) 15.5 (B) 19.7 (C) 15.2 (D) 15.8 (E) 15.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of first 12 prime no. which are odd = 236
Average = 236/12 = 19.7
The answer is B<|endoftext|> | 40,226 |
<|im_start|>user
Sujit incurred a loss of 45% on selling an article for Rs.3630/-. What was the cost price of the article?
Answer Choices: (A) Rs.5725/- (B) Rs.6600/- (C) Rs.6250/- (D) Rs.6750/- (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
45% loss means SP of Rs.3630/- is 55% of CP... | 63,035 |
<|im_start|>user
In how many ways can the letters of the word REPEATED be arranged?
Answer Choices: (A) 1206 (B) 1348 (C) 6720 (D) 3000 (E) 3478<|im_end|>
<|im_start|>assistant
<think>
</think>
REPEATED has 8 words, but E is repeated three times. Thus ways = 8! / 3! = 6720 ways
C
The answer is C<|endoftext|> | 43,614 |
<|im_start|>user
On a summer camp, 25% of the campers paid $120 each, 30% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
Answer Choices: (A) 18% (B) 21% (C) 35% (D) 33.3% (E) 37.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
let the total no... | 39,929 |
<|im_start|>user
A tourist purchased a total of $2,500 worth of travelerβs checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value ... | 85,133 |
<|im_start|>user
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then BED?
Answer Choices: (A) 33 (B) 34 (C) 35 (D) 32 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
GOOD=(7+15+15+4)*4=164
BAD= (2+1+4)*3=21
UGLY= (21+7+12+25)*4=260
coding follows
(sum of position of alphabets)*(no. of letters ... | 19,545 |
<|im_start|>user
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Answer Choices: (A) 11 1/5% (B) 11 1/4% (C) 11 1/9% (D) 11 8/9% (E) 11 3/9%<|im_end|>
<|im_start|>assistant
<think>
</think>
900 --- 100
100 --- ? => 11 1/9%
The answer is C<|endof... | 54,764 |
<|im_start|>user
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
Answer Choices:... | 16,444 |
<|im_start|>user
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:
Answer Choices: (A) 20 (B) 30 (C) 60 (D) 70 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
B
30
Let the three numbers be x, y and z.
Sum of the ... | 29,521 |
<|im_start|>user
Where does carbohydrate digestion begin in the body?
Answer choice: (A) stomach (B) intestines (C) mouth (D) throat<|im_end|>
<|im_start|>assistant
<think>
</think>
Digestion of Carbohydrates Carbohydrate digestion begins in the mouth (Figure 20.5 "The Principal Events and Sites of Carbohydrate Diges... | 9,136 |
<|im_start|>user
In a tree, 3/7 of the birds are parrots while the rest are toucans. If 2/3 of the parrots are female and 7/10 of the toucans are female, what fraction of the birds in the tree are male?
Answer Choices: (A) 3/7 (B) 11/35 (C) 16/35 (D) 31/70 (E) 37/70<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 8,908 |
<|im_start|>user
If a young child was 15 months old one year ago, how old was the child, in months, x months ago?
Answer Choices: (A) x β 27 (B) x β 12 (C) 15 β x (D) 24 β x (E) 27 β x<|im_end|>
<|im_start|>assistant
<think>
</think>
The child's age today is 15 months + 12 months = 27 months
x months ago, the child's... | 3,492 |
<|im_start|>user
A and B start from house at 10am. They travel on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm
Answer Choices:... | 17,464 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions?
Answer Choices: (A) 708 m (B) 704 m (C) 774 m (D) 714 m (E) 563.2 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Di... | 74,985 |
<|im_start|>user
On his first day working out, Anthony did
30 push-ups. On each successive day, he
did exactly 3 more push-ups than on the
previous day. After completing his push-ups
on the 30th day, how many push-ups had
he completed on all 30 days?
Answer Choices: (A) fewer than 500 (B) between 500 and 1,000 (C) betw... | 30,981 |
<|im_start|>user
Where is most of the cell's dna contained?
Answer choice: (A) vacuole (B) epidermis (C) nucleus (D) cell membrane<|im_end|>
<|im_start|>assistant
<think>
</think>
Although most of a cell's DNA is contained in the cell nucleus, mitochondria have their own DNA. Mitochondria also have the machinery to m... | 5,646 |
<|im_start|>user
Two whole numbers whose sum is 100 cannot be in the ratio
Answer Choices: (A) 2:23 (B) 5:45 (C) 10:10 (D) 2:6 (E) 2:3<|im_end|>
<|im_start|>assistant
<think>
</think>
D) 2:6
The answer is D<|endoftext|> | 69,116 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
There is a surplus if there is too much for sale at a given price.
There is a shortage if there is not enough for sale at a given price.
Surpluses and shortages usually happen when people who are selling goods or services ch... | 908 |
<|im_start|>user
The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 61. Find their present ages.
Answer Choices: (A) 12,18,21 (B) 16,24,28 (C) 20,30,35 (D) 24,36,42 (E) 28,42,49<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages be 4x, 6x, 7x.
(4x-8) + (6x-8)... | 51,629 |
<|im_start|>user
For every $20 that a billionaire spends, a millionaire spends the equivalent of 10 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Answer Choices: (A) 1 : 2 : 400 (B) 1 : 4 : 100 ... | 75,412 |
<|im_start|>user
If A:B = 1/4: 1/3 B:C = 1/2:1/3 then A:B:C?
Answer Choices: (A) 9:6:6 (B) 9:12:8 (C) 9:6:2 (D) 9:6:4 (E) 9:6:1<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B = 1/4:1/3 = 3:4
B:C = 1/2:1/3 = 3:2
--------------------
A:B:C = 9:12:8
The answer is B<|endoftext|> | 59,799 |
<|im_start|>user
One fourth of a solution that was 22% sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight. The second solution was what percent sugar by weight?
Answer Choices: (A) 74% (B) 24% (C) 22% (D) 18% (E) 8.5%<|im_end|>
<|im_start|>assistant
<think>
</... | 47,840 |
<|im_start|>user
In seed plants, after fertilization, what will the ovule eventually develop into?
Answer choice: (A) seed (B) cone (C) root (D) flower<|im_end|>
<|im_start|>assistant
<think>
</think>
An ovule is a female reproductive structure in seed plants that contains a tiny female gametophyte. The gametophyte p... | 1,494 |
<|im_start|>user
What compound has positive and negative ions?
Answer choice: (A) hydrocarbon (B) protein (C) ionic (D) covalent<|im_end|>
<|im_start|>assistant
<think>
</think>
Ionic compounds have positive ions and negative ions.
The answer is C<|endoftext|> | 11,309 |
<|im_start|>user
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Answer Choices: (A) 420 (B) 776 (C) 288 (D) 268 (E) 198<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of... | 17,012 |
<|im_start|>user
In how many ways can the letters of the word 'LEADER' be arranged?
Answer Choices: (A) 739 (B) 73 (C) 360 (D) 840 (E) 849<|im_end|>
<|im_start|>assistant
<think>
</think>
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
Required number of ways =6!/(1!)(2!)(1!)(1!)(1!)= 360.
The ans... | 44,815 |
<|im_start|>user
A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Answer Choices: (A) 228 (B) 224 (C) 288 (D) 266 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total distance be x ... | 31,148 |
<|im_start|>user
the percentage discount offered for"Buy 6 get 1 free is"?
Answer Choices: (A) 14.29% (B) 15.29% (C) 17.29% (D) 19.29% (E) 12.29%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total Items = 7
Discounted = 1
Percentage = 1/7*100
=14.29%
The answer is A<|endoftext|> | 44,096 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 4,068 |
<|im_start|>user
find cp when sp=rs51.70:loss=12%
Answer Choices: (A) Rs 58.75 (B) Rs 88.75 (C) Rs 68.75 (D) Rs 98.75 (E) Rs 78.75<|im_end|>
<|im_start|>assistant
<think>
</think>
cp=Rs{(100/88)*51.87}=Rs58.75
The answer is A<|endoftext|> | 53,456 |
<|im_start|>user
Which of the following values of x satisfies the inequality 2x2 β 3x + 1 > 0?
Answer Choices: (A) -1 < x < -1β2 (B) 1β2 < x < 1 (C) x > 1 or x < 1β2 (D) -1β2 < x < 1 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
2x2 β 3x + 1 = 0.
or (2x β 1)(x β 1) = 0
Hence, Ξ± = 1β2 and Ξ² = 1
No... | 93,286 |
<|im_start|>user
In a store 6 different CDs are there. If John can buy 2 CDs, how many cases that he can buy are there?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Let CDs are A, B, C, D, E, F
He may choose any pair as mentioned below
AB, AC, AD, AE, AF = 5 case... | 29,907 |
<|im_start|>user
A certain company has budgeted $1320 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $300, how much was the company under budget or over budget?
Answer Choices: (A) $60 under budget (B) $30... | 93,415 |
<|im_start|>user
The sale price sarees listed for Rs.345 after successive discount is 12% and 25% is?
Answer Choices: (A) 321 (B) 276 (C) 342 (D) 228 (E) 245<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
345*(88/100)*(75/100) = 228
The answer is D<|endoftext|> | 68,136 |
<|im_start|>user
Line A has the equation 3x + y = 7. Which of the following lines is perpendicular to Line A?
Answer Choices: (A) y = 3x + 4 (B) y = β3x β 6 (C) y = (1/3) x β 1 (D) y = (β1/3) x + 2 (E) y = (β7/3) x β 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Whatβs tricky about this problem: we have to begin... | 89,623 |
<|im_start|>user
A furniture dealer purchased a desk for $140 and then set the selling price equal to the purchase price plus a markup that was 30% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Answer ... | 79,598 |
<|im_start|>user
A certain company consists of 8 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
... | 29,838 |
<|im_start|>user
A rope of which a calf is tied is increased from 5m to 9 m, how much additional grassy ground shall it graze?
Answer Choices: (A) 1218 (B) 180 (C) 176 (D) 200 (E) 291<|im_end|>
<|im_start|>assistant
<think>
</think>
Ο (92 β 52) = 176
The answer is C<|endoftext|> | 36,558 |
<|im_start|>user
The ocean basin begins where the ocean meets what?
Answer choice: (A) sea (B) bay (C) land (D) river<|im_end|>
<|im_start|>assistant
<think>
</think>
The ocean basin begins where the ocean meets the land. The continental margin begins at the shore and goes down to the ocean floor. It includes the con... | 11,244 |
<|im_start|>user
Three mobsters have arrived at the theater for the premiere of the film βGoodbuddies.β One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concess... | 81,926 |
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