text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
Answer Choices: (A) 1 (B) 20 (C) 0 (D) 19 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Average of 20 numbers = 0
=>Sum of 20 numbers/20=0
Hence at the most, there can be 19 posi... | 9,861 |
<|im_start|>user
Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5:3 and 1:2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of the two basic elements in a... | 83,220 |
<|im_start|>user
A person can swim in still water at 8 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 8km?
Answer Choices: (A) 2 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 8
S = 4
US = 8 - 4 = 4
D = 4
T = 8/4 = 2
The answer i... | 87,345 |
<|im_start|>user
If the volume of the cube is 729, then the surface area of the cube will be
Answer Choices: (A) 486 (B) 255 (C) 2866 (D) 265 (E) 872<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
\inline \fn_jvn a^3=729; a=9
surface area= (6 x 9 x 9) = 486\inline \fn_jvn cm^2
The answer is A<|endoftex... | 52,718 |
<|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... | 3,455 |
<|im_start|>user
The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present age of Lewis.
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
l:b=1:2 & (l+3):(b+3)=3:5
then 2l=b & 5l+15=3b+9
by solving ... | 89,942 |
<|im_start|>user
The average weight of A, B and C is 43 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Answer Choices: (A) 17 kg (B) 20 kg (C) 26 kg (D) 31 kg (E) 25 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
let d sum of a, b, c is 3*43=129
and sum of a ... | 17,956 |
<|im_start|>user
If 8 workers can build 8 cars in 8 days, then how many days would it take 5 workers to build 5 cars?
Answer Choices: (A) 4 (B) 5 (C) 8 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
5 workers can bu... | 84,938 |
<|im_start|>user
Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 30% of the total number of books in the library. If prior to the purchase, only... | 73,866 |
<|im_start|>user
What are cyclins made up of?
Answer choice: (A) enzymes (B) group of sugars (C) group of proteins (D) steroids<|im_end|>
<|im_start|>assistant
<think>
</think>
The cell cycle is controlled by a number of protein-controlled feedback processes. Two types of proteins involved in the control of the cell ... | 8,449 |
<|im_start|>user
A present value of a machine is $1100. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Answer Choices: (A) $900 (B) $891 (C) $915 (D) $715 (E) $795<|im_end|>
<|im_start|>assistant
<think>
</think>
P= $1100
R = 10%
T = 2 years
Machine value after 2 years = P[(1-R/1... | 87,967 |
<|im_start|>user
What are the chemical messengers used to communicate between cells?
Answer choice: (A) membranes (B) peptides (C) hormones (D) neurons<|im_end|>
<|im_start|>assistant
<think>
</think>
Hormones, chemical messengers used to communicate between cells, are important in regulating digestion.
The answer is... | 6,419 |
<|im_start|>user
The difference between the place value and the face value of 6 in the numeral 856973 is
Answer Choices: (A) 5994 (B) 6973 (C) 973 (D) 1000 (E) 7000<|im_end|>
<|im_start|>assistant
<think>
</think>
(Place value of 6) - (Face value of 6) = (6000 - 6) = 5994
The answer is A<|endoftext|> | 14,727 |
<|im_start|>user
Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 125 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Answer Choices: (A) 6 (B) 14 (C) 16 (D) 20 (E) 18<|im_end|>
<|im_start|>ass... | 77,095 |
<|im_start|>user
A 450 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 600 (B) 525 (C) 360 (D) 370 (E) 380<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 450/18 = 25 m/sec.
Let the length of the platform be x meters.... | 6,411 |
<|im_start|>user
Ten years ago, the age of Peter was one-third the age of Jacob at that time. The present age of Jacob is 12 years more than the present age of Peter. Find the present age of Peter?
Answer Choices: (A) 15 (B) 11 (C) 18 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
D
16
Let the present... | 54,201 |
<|im_start|>user
P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
Answer Choices: (A) 10 (B) 15 (C) 18 (D) 22 (E) 25<|im_end|>
<|im_start|>assistant
<think>... | 32,595 |
<|im_start|>user
To fill a tank, 20 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to one-fifth of its present ?
Answer Choices: (A) 100 (B) 200 (C) 300 (D) 400 (E) 500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cap... | 64,862 |
<|im_start|>user
What are the outer-shell electrons of an atom called?
Answer choice: (A) valence electrons (B) outer electrons (C) organism electrons (D) helium electrons<|im_end|>
<|im_start|>assistant
<think>
</think>
Valence electrons are the outer-shell electrons of an atom.
The answer is A<|endoftext|> | 1,617 |
<|im_start|>user
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 35, 25 kmph (B) 80, 40 kmph (C) 40, 60 kmph (D) 50, 55 kmph (E) 50, 65 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 60 + 20 = 80... | 50,547 |
<|im_start|>user
In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by
Answer Choices: (A) 2 (B) 8 (C) 1 (D) 1/8 (E) 1/64<|im_end|>
<|im_start|>assistant
<think>
</think>
Say r=2 => V1 = 1/16
when r=1; V2 = 1/4
V2 = 2*V1.
The answer is A<|endoftext|> | 56,809 |
<|im_start|>user
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Answer Choices: (A) 22 cm (B) 24 cm (C) 26 cm (D) 28 cm (E) 29 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
We know perim... | 25,558 |
<|im_start|>user
If x*y = xy – 2(x + y) for all integers x and y, then 1* (–3) =
Answer Choices: (A) –16 (B) –11 (C) –4 (D) 4 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
1*(-3) = 1*(-3) - 2 (1 + (-3) ) = -3 +4 = 1
Option (E)
The answer is E<|endoftext|> | 46,444 |
<|im_start|>user
P is 40% more efficient than Q. P can complete a work in 24 days. If P and Q work together, how many days will it take to complete the same work?
Answer Choices: (A) 8 (B) 9 (C) 11 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
The work done by P in 1 day = 1/24
Let work done by Q in ... | 92,789 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a black and the second card is a spade is?
Answer Choices: (A) 1/16 (B) 1/8 (C) 1/13 (D) 1/26 (E) 1/52<|im_end|>
<|im_start|>assistant
<think>
</think>
Probability of a black card= 2... | 73,342 |
<|im_start|>user
The difference between a number and its two-fifth is 510. What is 5% of that number?
Answer Choices: (A) 425 (B) 300 (C) 255 (D) 300 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
5% of 850 = 425.
The answer is A<|endoftext|> | 8,334 |
<|im_start|>user
Kim bought a total of $4.65 worth of postage stamps in four denominations. If she bought an equal number of 10-cent and 25-cent stamps and twice as many 20-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
Answer Choices: (A) 5 (B) 10 (C) 75 (D) 90 (E) 95<|i... | 11,016 |
<|im_start|>user
Which plants sometimes colonize areas by disrupting interactions between native organisms?
Answer choice: (A) carnivorous exotic plants (B) denser exotic plants (C) invasive exotic plants (D) bacteria exotic plants<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 9,628 |
<|im_start|>user
Machine X takes 80 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce
Answer Choices: (A) 100 (B) 65 (C) 25 (D) 11 (E) 2.25<|im_end|>
<|im_start|>assistant
<think>
<... | 42,928 |
<|im_start|>user
There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of n?
Answer Choices: (A) 11 (B) 12 (C) 15 (D) 18 (E) 22<|im_end|>
<|im_start|... | 40,057 |
<|im_start|>user
How many keystrokes are needed to type numbers from 8 to 180?
Answer Choices: (A) 360 (B) 180 (C) 325 (D) 425 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatory Answer
While typing numbers from 8 to 180, there are 2 single digit numbers: 8 and 9.
Each of these numbers requ... | 61,536 |
<|im_start|>user
What is the sum of all possible solutions to |x - 5|^2 + |x - 5| = 20 ?
Answer Choices: (A) -1 (B) 6 (C) 7 (D) 10 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Denote |x - 5| as y: y^2 + y = 20 --> y = -5 or y = 4. Discard the first solution since y = |x - 5|, so it's an absolute value and ... | 58,988 |
<|im_start|>user
A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Answer Choices: (A) 48pi/x (B) 75x (C) 48x (D) 24x (E) ... | 97,096 |
<|im_start|>user
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Answer Choices: (A) 66 (B) 77 (C) 51 (D) 98 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Age of the teacher = (37 * 1... | 46,171 |
<|im_start|>user
Virat buys an old car for Rs. 60000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 65000, his gain percent is:
Answer Choices: (A) 3 (4/7) % (B) 11 (1/9) % (C) 12 (2/3) % (D) 1.6% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
C.P. = Rs. (60000... | 97,312 |
<|im_start|>user
The perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Answer Choices: (A) 22 (B) 35 (C) 56 (D) 54 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the ... | 71,428 |
<|im_start|>user
Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?
Answer Choices: (A) 8 hrs (B) 7 1/2 hrs (C) 7 hrs (D) 9 hrs (E) 19 hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
As it is not given, in how many days 40 men have to compl... | 76,590 |
<|im_start|>user
In how many ways can the digit of the number 2233558888 be arranged so that the odd digits are placed in the even positions?
Answer Choices: (A) 380 (B) 400 (C) 430 (D) 450 (E) 480<|im_end|>
<|im_start|>assistant
<think>
</think>
odd place combination = 5!/2!*2!=30
even place combination= 6!/2!*4!=15... | 4,930 |
<|im_start|>user
If S is the product of all positive integers less than 31, than what is the greatest integer k for which S/18^k is an integer?
Answer Choices: (A) 3 (B) 6 (C) 7 (D) 14 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
30! S must be divisible by (3*3*2)^k.
As I will find a lot of 2's among 30!'s... | 200 |
<|im_start|>user
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Ca... | 91,494 |
<|im_start|>user
If m and n are positive integers and m^2 + n^2 = 58, what is the value of m^3 + n^3?
Answer Choices: (A) 72 (B) 224 (C) 370 (D) 512 (E) 1,600<|im_end|>
<|im_start|>assistant
<think>
</think>
You need to integers which squared are equal 58.
Which could it be ? Let's start with the first integer:
1^2 =... | 84,367 |
<|im_start|>user
In a birthday party, every person shakes hand with every other person. If there was a total of 28 handshakes in the party, how many persons were present in the party?
Answer Choices: (A) 5 (B) 8 (C) 1 (D) 9 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose there are nn persons present in... | 69,039 |
<|im_start|>user
If log1087.5 = 2.9421, then the number of digits in (875)10 is?
Answer Choices: (A) 30 (B) 28 (C) 27 (D) 26 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
X = (875)10 = (87.5 x 10)10
Therefore, log10X = 10(log2087.5 + 1)
= 10(2.9421 + 1)
= 10(3.9421) = 39.421
X = antilog(39.421)
Therefore, n... | 41,368 |
<|im_start|>user
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers u did Carl drive each way?
Answer Choices: (A) 35... | 84,200 |
<|im_start|>user
If a boat goes 7km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is ?
Answer Choices: (A) 13km/hr (B) 52km/hr (C) 85km/hr (D) 2.8km/hr (E) 5.98km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Rate upsteram =(7/42*60)kmph=10kmph.
speed of... | 69,149 |
<|im_start|>user
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will... | 66,751 |
<|im_start|>user
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 972 sq m, then what is the breadth of the rectangular plot?
Answer Choices: (A) 16 (B) 17 (C) 18 (D) 19 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the breadth of the plot be b m.
Length of ... | 94,062 |
<|im_start|>user
Each cell and every living thing requires what?
Answer choice: (A) potassium (B) calcium (C) energy (D) salt<|im_end|>
<|im_start|>assistant
<think>
</think>
All living things need energy. You can often see energy at work in living things. Look at the hummingbird and jellyfish in Figure below . Both ... | 2,776 |
<|im_start|>user
Which particle of an atom has a positive electric charge?
Answer choice: (A) electron (B) proton (C) nutron (D) nucleus<|im_end|>
<|im_start|>assistant
<think>
</think>
A proton is a particle in the nucleus of an atom that has a positive electric charge. All protons are identical. It is the number of... | 4,532 |
<|im_start|>user
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 4 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 - 25)/2 = 5
The answer is A<|endoftext|> | 8,143 |
<|im_start|>user
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
Answer Choices: (A) 227 (B) 299 (C) 266 (D) 828 (E) 291<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the parts be... | 19,722 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 5,379 |
<|im_start|>user
we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed?
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12 cuts<|im_end|>
<|im_start|>assistant
<think>
</think>
Total no. of cubes=n^3
here n^3 = 125 which makes n=5,
also minimum no. of cuts required =3(n-1)
hen... | 19,674 |
<|im_start|>user
What is the name for the male reproductive organs or gonads?
Answer choice: (A) nucleus (B) anus (C) testes (D) ovaries<|im_end|>
<|im_start|>assistant
<think>
</think>
Testes The testes (singular = testis) are the male gonads—that is, the male reproductive organs. They produce both sperm and androge... | 6,118 |
<|im_start|>user
Average of five numbers is 26. If one number is excluded the average becomes 28. The excluded number is
Answer Choices: (A) 10 (B) 12 (C) 16 (D) 20 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number is (5*26) - (4*28) = 130-112 = 18
The answer is E<|endoftext|> | 39,343 |
<|im_start|>user
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Answer Choices: (A) 360 (B) 838 (C) 372 (D) 737 (E) 273<|im_end|>
<|im_start|>assistant
<think>
</think>
The given digits are six.
The number of four digit numbers that can be formed usi... | 55,014 |
<|im_start|>user
Find the missing number of the following series?
16 8 24 12 36 18 54 ? 81
Answer Choices: (A) 27 (B) 28 (C) 29 (D) 26 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
27
Explanation:
16/2 = 9
8*3 = 24
24/2 = 12
12*3 = 36
36/2 = 18
18*3 = 54
54/2 = 27
27*3 = 81
The answer is A<|endo... | 63,776 |
<|im_start|>user
Of a set of 30 numbers, average of 1st 10 numbers is equal to average of last 20 numbers. The sum of last 20 numbers is?
Answer Choices: (A) 2 x sum of 1st 60 numbers (B) 2 x sum of 1st 10 numbers (C) 2 x sum of 1st 30 numbers (D) 2 x sum of 1st 20 numbers (E) 6 x sum of 1st 10 numbers<|im_end|>
<|im_s... | 32,091 |
<|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... | 488 |
<|im_start|>user
The area of a sector of a circle of radius 4 cm formed by an arc of length 3.5 cm is?
Answer Choices: (A) 7 (B) 7.67 (C) 8.75 (D) 8.98 (E) 8.28<|im_end|>
<|im_start|>assistant
<think>
</think>
(4 * 3.5)/2
= 7
The answer is A<|endoftext|> | 69,442 |
<|im_start|>user
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Answer Choices: (A) 9 (B) 7 (C) 4 (D) 8 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
(30*30)/100
= 9%loss
The answer is A<|endoftext|> | 64,849 |
<|im_start|>user
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 6 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and... | 36,036 |
<|im_start|>user
A person crosses a 500m long street in 5 minnutes. What is his speed in km per hour?
Answer Choices: (A) 6.01km/hr (B) 7.2km/hr (C) 9km/hr (D) 2.5km/hr (E) 3km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 500/5*60 = 1.67m/sec
=1.67*18/5
=6.01km/hr
The answer is A<|endoftext|> | 17,586 |
<|im_start|>user
The sum of the first five terms of a G.P is 363. If the common ratio is 1/3 find the first term.
Answer Choices: (A) 323 (B) 243 (C) 232 (D) 332 (E) 432<|im_end|>
<|im_start|>assistant
<think>
</think>
Sum of the first n terms of a G.P = a (1 -rn )/1 - r ,
a [ 1 - (1/3) 5 ]/ (1 - 1/3) = 363
a = 363 [... | 50,589 |
<|im_start|>user
An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Answer Choices: (A) 1 (B) 4 (C) 2/3 (D) 1/4 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Total numbers in a die=6
P(multiple of 3) = 2/6 = 1/3
P(multiple of 4) = 1/6
P(multiple of 3 or 4) = 1/3 + 1/6 ... | 1,664 |
<|im_start|>user
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Answer Choices: (A) 12 (B) 16 (C) 19 (D) 13 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = ... | 75,054 |
<|im_start|>user
3 of the 4 expressions (1), (2), (3) & (4) given below are exactly equal . Which of the expression is not equal to the other four expressions?
Answer Choices: (A) (A – B) 2 + 9AB (B) (A – B) 2 + 4AJ (C) (A – B) 2 + 4AB (D) (A – B) 2 + 2AB (E) (A – B) 2 + 1AB<|im_end|>
<|im_start|>assistant
<think>
</t... | 85,142 |
<|im_start|>user
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
Answer Choices: (A) 16 hours (B) 18 hours (C) 20 hours (D) 24 hours (E) 28 hours<|im_end|>
<|im_start|... | 56,330 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Volume is a measurement of how much space something takes up.
There are many different units of v... | 2,823 |
<|im_start|>user
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. four years from today, the differe... | 47,033 |
<|im_start|>user
If D is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
Answer Choices: (A) z - w = 3(y - x) (B) D is divisible by 8 (C) The average of w, x, y, and z is odd (D) D is divisible by 4 (E) w + x + 8 = y + z<|im_end|>
<|im_start|>assistant... | 17,787 |
<|im_start|>user
If after 100 grams of water were added to the 20%-solution of alcohol, the strength of the solution decreased by one-fourth, how much of the 20%-solution was used?
Answer Choices: (A) 300 (B) 250 (C) 150 (D) 200 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
The 20% alcohol solution decreas... | 77,104 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that the bus leaves in 7. You might be thinking, 7 what? Does the bus leave in... | 4,361 |
<|im_start|>user
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Answer Choices: (A) Rs. 34 (B) Rs. 39 (C) Rs. 42 (D) Rs. 49 (E) Rs. 51<|im_end|>
... | 59,347 |
<|im_start|>user
A circular well with a diameter of 2 metres , is dug to a depth of 10 metres. What is the volume of the earth dug out?
Answer Choices: (A) 32 m3 (B) 31.4 m3 (C) 40 m3 (D) 44 m3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Volume = πr2h
‹=› (22 /7 ×1×1×10)m3
‹=›31.4 m3.
The answe... | 65,822 |
<|im_start|>user
How many of the factors of 1400 are divisible by 2?
Answer Choices: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
1400 = 2^3*5^2*7
The total number of factors is (3+1)(2+1)(1+1) = 24
The odd factors are 1, 5, 7, 25, 35, and 175.
The number of even factors is 24-6... | 39,300 |
<|im_start|>user
The price of a jacket is reduced by 10%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer Choices: (A) 32.5 (B) 58.7 (C) 48 (D) 65 (E) 67.5<|im_end|>
<|... | 6,796 |
<|im_start|>user
2,3,5,8,13,21,34,?
Answer Choices: (A) 57 (B) 58 (C) 55 (D) 54 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Each number is the sum of the previous two numbers, ie 18 + 29 = 55.
The answer is C<|endoftext|> | 74,269 |
<|im_start|>user
In how many ways can a committee of 5 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
Answer Choices: (A) 67 (B) 64 (C) 65 (D) 66 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 2 options: the selected groups have no girls or one girls.
-F... | 81,290 |
<|im_start|>user
Find the average of all prime numbers between 60 and 90
Answer Choices: (A) 45 (B) 55 (C) 69 (D) 65 (E) 77<|im_end|>
<|im_start|>assistant
<think>
</think>
Prime numbers between 60 and 90 are 67, 71, 73, 79, 83, 89
Required average = (67+ 71+ 73+ 79+ 83+ 89)/6 = 462/6 = 77
The answer is E<|endoftext|... | 54,372 |
<|im_start|>user
The quantity of water needed to reduce 9 ml shaving lotion containing 50% alcohol to a lotion containing 30% alcohol is?
Answer Choices: (A) 6ml (B) 10ml (C) 5.5ml (D) 8ml (E) 9.3ml<|im_end|>
<|im_start|>assistant
<think>
</think>
Quantity of alcohol in 9ml lotion = 50/100 *9 = 4.5ml
Let the water ad... | 93,517 |
<|im_start|>user
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 25%. What was its profit on the items sold in February?
Answer Ch... | 424 |
<|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... | 6,238 |
<|im_start|>user
A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
Answer Choices: (A) 2 hr 30 min (B) 2 hr (C) 4 hr (D) 1 hr 15 min (E) 3 hr 15 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 29,396 |
<|im_start|>user
The ratio of two quantities is 3 to 4. If each of the quantities is increased 4 and 3 respectively, what is the ratio of these two new quantities?
Answer Choices: (A) 3/4 (B) 8/9 (C) 18/19 (D) 23/24 (E) It cannot be determined from the information given<|im_end|>
<|im_start|>assistant
<think>
</think>... | 41,280 |
<|im_start|>user
What will come in place of the x in the following Number series? 5,28,57,88,125
Answer Choices: (A) 140 (B) 150 (C) 166 (D) 170 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
The answer is C<|endoftext|> | 9,964 |
<|im_start|>user
A chair is bought for Rs.600/- and sold at a loss of 50% find its selling price
Answer Choices: (A) s.300/- (B) s.550/- (C) s.560/- (D) s.590/- (E) s.580/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 600 (100 * 6 = 600)
50 % ------> 540 (50 * 6 = 300)
Selling price = Rs.300/-
A)
Th... | 33,961 |
<|im_start|>user
What glands are wedges of glandular and neuroendocrine tissue adhering to the top of the kidneys by a fibrous capsule?
Answer choice: (A) heart glands (B) adrenal glands (C) nutrients glands (D) fatty glands<|im_end|>
<|im_start|>assistant
<think>
</think>
17.6 | The Adrenal Glands By the end of this... | 5,026 |
<|im_start|>user
If a company gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
Answer Choices: (A) 800 (B) 700 (C) 750 (D) 850 (E) 900<|im_end|>
<|im_start|>assistant
<think>
</think>
cost P = 125/100 * 115/100 * 110/100 = 1265
25... | 9,906 |
<|im_start|>user
A first grade teacher uses ten playing cards, each numbered from 1 to 10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many diffe... | 17,310 |
<|im_start|>user
The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?
Answer Choices: (A) 1288 (B) 1299 (C) 1000 (D) 10000 (E) 9200<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
115 * 80 = 9200
The answer is E<|endoftext|> | 89,803 |
<|im_start|>user
In a soccer bet,we play 4 teams.first team odd 1.29,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Answer Choices: (A) 219.5 (B) 224.75 (C) 235.01 (D) 266.74 (E) 669.0<|im_end|>
<|im_start|>assistant
<think>
</think>
in the case we won the bet,we... | 65,277 |
<|im_start|>user
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
Answer Choices: (A) 1683 (B) 1753 (C) 1523 (D) 1433 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
L.C.M. of 5,6,7,8 = 840.
Therefore, Required number is of the... | 9,130 |
<|im_start|>user
A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Answer Choices: (A) 1/4 (B) 1/3 (C) 1/2 (D) 2/3 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Original quantity = A
Substituted q... | 79,004 |
<|im_start|>user
A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German... | 93,272 |
<|im_start|>user
Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Answer Choices: (A) 24.8 years (B) 28.5 years (C) 84.5 years (D) 34.5 years (E) 24.5 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Rahul's age be x years.
Then, Sachin's age = (x... | 343 |
<|im_start|>user
A certain rectangular window is three times as long as it is wide. If its perimeter is 32 feet, what are its dimensions in terms of length by width?
Answer Choices: (A) 12 by 2 (B) 11 by 3 (C) 10.5 by 3.5 (D) 12 by 4 (E) 9 by 3<|im_end|>
<|im_start|>assistant
<think>
</think>
2x+2y=32
x+y=16
x+3x=16
... | 48,962 |
<|im_start|>user
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 3:8 (B) 3:4 (C) 3:5 (D) 3:2 (E) 3:1<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The rat... | 66,673 |
<|im_start|>user
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Answer Choices: (A) 587 × 10^8 miles (B) 587 × 10^10 miles (C) 587 × 10^-10 miles (D) 587× 10^12 ml (E) 587 × 10^-12 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
Solu... | 10,674 |
<|im_start|>user
Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?
Answer Choices: (A) A) 12 (B) B) 14 (C) C) 27 (D) D) 53 (E) E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
In this series, each number is repeated, then 12 is subtracted to arrive at the next number.
The answer is ... | 36,295 |
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