text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
P, Q and R have $7000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Answer Choices: (A) 2800 (B) 2403 (C) 3998 (D) 2539 (E) 1930<|im_end|>
<|im_start|>assistant
<think>
</think>
A
2800
Let the amount with R be $ r
r = 2/3 (total amount with P and Q)
r = ... | 50,313 |
<|im_start|>user
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Answer Choices: (A) 18 (B) 76 (C) 24 (D) 20 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ag... | 22,644 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Overall supply is the total amount of a good or service that producers make and sell. There are several things that can make overall supply go up or down. The table below shows how changes to these things might affect overal... | 267 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 79.5 (B) 39.5 (C) 79.9 (D) 79.2 (E) 79.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then... | 86,406 |
<|im_start|>user
A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
Answer Choices: (A) Rs.1648 (B) Rs.1640 (C) Rs.1289 (D) Rs.1282 (E) Rs.1633<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = (P.W. of Rs. 882 due 1 year hence) + (P.W... | 93,336 |
<|im_start|>user
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Answer Choices: (A) 8% (B) 6% (C) 7% (D) 9% (E) 10%<|im_end|>
<|im_start|>assistant
<think>
</think>
By investing 1552 income = 128
by investing rs 97 income = (128/1552 * 97) = rs 8
=>8%
The answ... | 18,042 |
<|im_start|>user
Father is aged three times more than his son Suresh. After 8 years, he would be two and a half times of Suresh's age. After further 8 years, how many times would he be of Suresh's age?
Answer Choices: (A) 2 times (B) 2.(1/2) times (C) 2(3/4) times (D) 3 times (E) 4 times<|im_end|>
<|im_start|>assistan... | 29,996 |
<|im_start|>user
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Answer Choices: (A) 4 km/hr. (B) 6 km/hr (C) 8 km/hr (D) 14 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Solution: Let the speed be... | 77,892 |
<|im_start|>user
X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
Answer Choices: (A) 60 (B) 77 (C) 26 (D) 66 (E) 281<|im_end|>
<|im_start|>assistant
<think>
</think>
We have M1 D1 = M2 D2
120X = (X - 20)180
=> 2X = (X - 20) 3 => 2X = 3X - 60
... | 3,835 |
<|im_start|>user
On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 49 centimeters assuming that 1-inch is 2.54 centimeters?
Answer Choices: (A) 174.2 (B) 212 (C) 288.1 (D) 296 (E) 308<|im_end|>
<|im_start|>assistant
<think>
</think>
1.5 inch = 2.54*1.5 cm.
So, 2.54*... | 4,611 |
<|im_start|>user
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
Answer Choices: (A) 9% (B) 11% (C) 8% (D) 10% (E) 20%<|im_end|>
<|im_start|>assistant
<think>
</think>
If rate=r, then 10000[1+(r/100)]^2 =12100 ,(100+r)^2 /100^2 =121
r^2 +200r -2100=0
(r-10)(r+210)=0
r=10
The ... | 96,547 |
<|im_start|>user
Geiger counters can be used to detect what, in general?
Answer choice: (A) seismic load (B) convection (C) evaporation (D) radiation<|im_end|>
<|im_start|>assistant
<think>
</think>
One reason radiation is dangerous is that it can’t be detected with the senses. You normally can’t see it, smell it, he... | 8,091 |
<|im_start|>user
jim and Beth each drove from Smallville to Crown City by different routes. jim drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than jim to complete the trip. How many miles per hour was Beth's average ... | 89,485 |
<|im_start|>user
What is the scope including 1/21+1/22+1/23+......+1/30?
Answer Choices: (A) 1/6~1/5 (B) 1/5~1/4 (C) 1/4~1/3 (D) 1/3~1/2 (E) 1/2~1<|im_end|>
<|im_start|>assistant
<think>
</think>
For Maximum value : It should be less than 1/21 + 1/21 +1/21... 10 times = 10/21 ~ 1/2
For Minimum Value : It should be gr... | 148 |
<|im_start|>user
A student committee that must consists of 4 members is to be formed from a pool of 8 candidates. How many different committees are possible
Answer Choices: (A) 5 (B) 8 (C) 70 (D) 56 (E) 336<|im_end|>
<|im_start|>assistant
<think>
</think>
Out of 8 people, any 4 can be selected for a committee. So 8c4... | 44,197 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Rhyming words are words that end with the same sound.
The words tip and slip rhyme. They both end with the same sound.
The words meet and treat also rhyme. They both end with the same sound, even though the sound has two dif... | 2,807 |
<|im_start|>user
If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
Answer Choices: (A) 12 (B) 12.5 (C) 13 (D) 13.5 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let sum = x then Simple Interest = x
Rate = (100 * x) / (x * 8) = 12.5
Option B
The answer ... | 9,129 |
<|im_start|>user
The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Answer Choices: (A) 15.2% (B) 16.0% (C) 20.0% (D) 23.2% (E) 24.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
y = ... | 4,940 |
<|im_start|>user
If 2|2 –e| = 5, what is the sum of all the possible values for e ?
Answer Choices: (A) 1/2 (B) 2 (C) 5/2 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
if e<2, then 2-e=5/2; e=-1/2
if e>2 , then e-2=5/2; e=9/2
9/2-1/2=8/2=4=D
The answer is D<|endoftext|> | 47,760 |
<|im_start|>user
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 sec. What is the length of the fast train?
Answer Choices: (A) 27 7/6 (B) 27 7/5 (C) 277/2 (D) 300/9 (E) 27 7/1<|im_end|>
<|im_start|>assistant
<think>... | 20,548 |
<|im_start|>user
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Answer Choices: (A) 20 hrs (B) 25 hrs (C) 35 hrs (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>... | 69,250 |
<|im_start|>user
Electric current is measured in coulombs per second, also called what?
Answer choice: (A) voltages (B) amperes (C) joules (D) watts<|im_end|>
<|im_start|>assistant
<think>
</think>
Electric current is measured in coulombs per second, or amperes.
The answer is B<|endoftext|> | 8,830 |
<|im_start|>user
What is the 10th digit of (5!*4!*4! - 5!*4!*3!)/2880?
Answer Choices: (A) 4 (B) 1 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
(5!*4!*4! - 5!*4!*3!)/2880?
=5!*4!(4! -3!)/4!*5!
=4!-3!
=18
Sum of digits =1
The answer is B<|endoftext|> | 24,848 |
<|im_start|>user
The average of 25 results is 50. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Answer Choices: (A) 741 (B) 752 (C) 878 (D) 785 (E) 458<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: Sum of 1st 12 results = 12*14
Sum of last 12 results = ... | 22,135 |
<|im_start|>user
Which of these must the factor Q of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Answer Choices: (A) 1,2 only (B) Q=2,3 only (C) Q=1,2,3 only (D) Q=1,2,3,4 only (E) All of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the four variables be a< b< c< d.
Ass... | 1,582 |
<|im_start|>user
P is able to do a piece of work in 20 days and Q can do the same work in 10 days. If they can work together for 2 days, what is the fraction of work left?
Answer Choices: (A) 5/10 (B) 9/10 (C) 7/10 (D) 6/10 (E) 4/10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Amount of work P can d... | 61,304 |
<|im_start|>user
The area of a rhombus is equal to the area of a rectangle whose length is 20cm and the breadth is 10cm. If one of the diagonals is 32cm what is the length of other diagonal?
Answer Choices: (A) 10 (B) 12.5 (C) 15 (D) 16 (E) 17.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of rectangle=20x10... | 25,063 |
<|im_start|>user
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=45, what is the maximum value of y for which f(x,y)=0?
Answer Choices: (A) 32 (B) 35 (C) 39 (D) 40 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
The question is finding y such that (45-y)! is a multiple of 45. That mea... | 9,975 |
<|im_start|>user
If |x| - |y| = |x+y| and xy not equal zero , which of the following must be true ?
Answer Choices: (A) x-y> 0 (B) x-y< 0 (C) x+y> 0 (D) xy>0 (E) xy<0<|im_end|>
<|im_start|>assistant
<think>
</think>
|x| - |y| = |x+y|
=> (|x| - |y|)^2 = |x+y|^2 = (x+y)^2
=> x^2 - 2|x||y| + y^2 = x^2 + 2xy + y^2
=> |xy... | 29,546 |
<|im_start|>user
Find the value of x from the below equation: x^2−7x+10=0
Answer Choices: (A) 5 (B) 3 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Here we need to find out a and b such that a + b = -7 and ab = +10
a = -5 and b = -2 satisfies the above condition.
Hence
x^2−7x+10=(x−5)(x−2)
x2−7x+... | 43,108 |
<|im_start|>user
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Answer Choices: (A) 1/8 (B) 1/4 (C) 2/5 (D) 2/7 (E) 1/1<|im_end|>
<|im_start|>... | 6,242 |
<|im_start|>user
Which of the following is divisible by the first thousand positive even integer multiples of 101?
(i) 55650000
(ii) 234177623000
(iii)11111111111110000000000000000000000000
Answer Choices: (A) None (B) i only (C) ii only (D) iii only (E) i, ii and iii<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 27,236 |
<|im_start|>user
What kind of diagrams can be used to illustrate electron movements and ion formation?
Answer choice: (A) venn diagrams (B) atomic models (C) contour maps (D) electron dot diagrams<|im_end|>
<|im_start|>assistant
<think>
</think>
Electron dot diagrams can be used to illustrate electron movements and i... | 1,182 |
<|im_start|>user
Average acceleration is the rate of change of what?
Answer choice: (A) direction (B) velocity (C) speed (D) displacement<|im_end|>
<|im_start|>assistant
<think>
</think>
Average acceleration is the rate of change of velocity, or the change in velocity per unit time.
The answer is B<|endoftext|> | 7,464 |
<|im_start|>user
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
Answer Choices: (A) 8 (B) 9 (C) 7 (D) 5 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Since A beats B by 200 m or 25 seconds, i
t implies that B covers 200 m in 25 seconds.
Hence speed of B = 200/25 = 8 m/s.
The an... | 2,085 |
<|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... | 3,266 |
<|im_start|>user
On 7th Nov, 2003 Friday falls. What day of the week was it on 7th Nov, 2002?
Answer Choices: (A) Tuesday (B) Wednesday (C) Thursday (D) Friday (E) Saturday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
7th Nov 2003 – 7th Nov 2002 = 52 weeks 1 day. So Nov 7th 2002 is behind one day = T... | 37,018 |
<|im_start|>user
What are unsaturated hydrocarbons with at least one triple bond between carbon atoms?
Answer choice: (A) alkynes (B) amines (C) lipids (D) ketones<|im_end|>
<|im_start|>assistant
<think>
</think>
Alkynes are unsaturated hydrocarbons with at least one triple bond between carbon atoms.
The answer is A<... | 10,547 |
<|im_start|>user
Why do sodium and chloride ions attract each other?
Answer choice: (A) sulfides attract (B) opposites attract (C) magnetism (D) like attracts like<|im_end|>
<|im_start|>assistant
<think>
</think>
Sodium and chloride ions have equal but opposite charges. Opposites attract, so sodium and chloride ions ... | 3,644 |
<|im_start|>user
How many prime numbers W exist such that 90 < W < 106 and W is a factor of 99999919?
Answer Choices: (A) 1. Zero (B) 2. One (C) 3. Two (D) 4. Three (E) 5. More than three<|im_end|>
<|im_start|>assistant
<think>
</think>
I found that considering the constraint..W is a prime num in between 90 to 106 no... | 29,358 |
<|im_start|>user
The number of n satisfying -n+2≥0 and 2n≤5 is
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
−n+2≥0................−n≥−2..................n≤2−n+2≥0................−n≥−2..................n≤2.
Also 2n≤5.............n≤5/2.............n≤52.
... | 36,932 |
<|im_start|>user
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio A of men to women?
Answer Choices: (A) 5:2 (B) 5:1 (C) 4:3 (D) 4:1 (E) 3:1<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) A=184 x 5 + 170 x 2 ... | 48,740 |
<|im_start|>user
Look at this series: 544, 509, 474, 439, 404, 369 ... What number should come next?
Answer Choices: (A) 334 (B) 408 (C) 306 (D) 507 (E) 404<|im_end|>
<|im_start|>assistant
<think>
</think>
334
This is a simple subtraction series. Each number is 35 less than the previous number.
A
The answer is A<|end... | 40,042 |
<|im_start|>user
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked two mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on... | 41,896 |
<|im_start|>user
The value of (4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31) is :
Answer Choices: (A) 0.47 (B) 47 (C) 470 (D) 4700 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Given expression = 4.7 × ( 13.26 + 9.43 + 77.31) = 4.7 × 100 = 470 .
The answer is C<|endoftext|> | 7,745 |
<|im_start|>user
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Answer Choices: (A) 17 cm (B) 18 cm (C) 20 cm (D) 21 cm (E) 22 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
2(l + b) = 5
b 1
2l + 2b = 5b
3b... | 37,025 |
<|im_start|>user
What force pulls objects toward the center of the earth?
Answer choice: (A) kinetic energy (B) centrifugal force (C) gravity (D) momentum<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 6,415 |
<|im_start|>user
If n is a negative integer and p is a positive integer, which of the options below must be positive?
Answer Choices: (A) (n + p) ^2 (B) np (C) n/p (D) p/n (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
A.(n + p)^2
will be positive irrespective of the absolute values of x and y... | 80,039 |
<|im_start|>user
A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 3 red and 2 blue samples, and a second jar is chosen at random from a different display containing 3 red and 2 blue samples. If he plans on mixing the two chosen jars together... | 50,369 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Answer Choices: (A) 287 m (B) 287 m (C) 288 m (D) 150 m (E) 287 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y =... | 80,298 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A simple sentence is a sentence with only one subject and predicate.
The pitcher threw the ball to first base.
A compound sentence is two simple sentences joined by a comma and a conjunction such as and, but, or, or so.
The ... | 5,355 |
<|im_start|>user
If there are 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Answer Choices: (A) 1/25 (B) 2/25 (C) 3/25 (D) 4/25 (E) 21/25<|im_end|>
<|im_start|>assista... | 54,803 |
<|im_start|>user
A Harsco's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Harsco's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Harsco's to travel 850 kilo... | 77,413 |
<|im_start|>user
What is defined as a close relationship between organisms of different species in which at least one of the organisms benefits?
Answer choice: (A) co-operative (B) symbiosis (C) endosymbiosis (D) parasitic<|im_end|>
<|im_start|>assistant
<think>
</think>
Symbiosis is a close relationship between orga... | 9,954 |
<|im_start|>user
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 12 times as heavy as water?
Answer Choices: (A) 1:2 (B) 3:7 (C) 4:1 (D) 5:2 (E) 6:5<|im_end|>
<|im_start|>assistant
<think>
</think>
G = 19W
C = 9W
Let 1gm of gold mixed wit... | 15,682 |
<|im_start|>user
For a,f,d are the positive integers, and d|a means that “a is divisible by d”, if d|af, which of the following must be true?
Answer Choices: (A) d|a (B) d|f (C) d|2af (D) d|(a+f) (E) d|(a-f) <|im_end|>
<|im_start|>assistant
<think>
</think>
d/a means a is divisible by d
d/af means af divisible by d.... | 2,093 |
<|im_start|>user
Out of 8 consonants and 4 vowels, how many words of 3 consonants and 1 vowels can be formed?
Answer Choices: (A) 21005 (B) 10500 (C) 25200 (D) 5376 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Number of ways of selecting (3 consonants out of 8) and (1 vowels out of 4)
8... | 80,006 |
<|im_start|>user
The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Answer Choices: (A) 3x + y + 15 = 0 (B) y - 3x - 11 = 0 (C) -2x - y - 7 = 0 (D) -3x + y - 18 = 0 (E) -3x + y ... | 31,916 |
<|im_start|>user
What behavior includes all the ways that animals interact with each other and the environment?
Answer choice: (A) adaptation (B) interdependence (C) animal behavior (D) instinct<|im_end|>
<|im_start|>assistant
<think>
</think>
Did you ever see a dog sit on command? Have you ever watched a cat trying ... | 7,958 |
<|im_start|>user
Find the equation of a line which passes through A(4, -1) and is parallel to x axis.
Answer Choices: (A) y=-2 (B) y=3 (C) y=2 (D) y=-1 (E) y=0<|im_end|>
<|im_start|>assistant
<think>
</think>
The slope of a line which is parallel to x-axis is zero. So
y+1=0(x−4)→y+1=0→y=−1
The answer is D<|endoftext|... | 18,280 |
<|im_start|>user
Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many mem... | 4,104 |
<|im_start|>user
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Answer Choices: (A) 16 : 5 (B) 14 : 5 (C) 16 : 7 (D) 19 : 5 (E) None of these<|im_end|>
<|im_start|>assistant
... | 96,047 |
<|im_start|>user
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was ... | 39,275 |
<|im_start|>user
The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Answer Choices: (A) 114 (B) 116 (C) 118 (D) 119 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2bh=1/2(2a+3)(2a+6)
Now 4a-5=2a+6
2a=11
Therefore,
A(0,0); B(0,17); C... | 21,161 |
<|im_start|>user
Find the odd man out. 1050, 510, 242, 106, 46, 16, 3
Answer Choices: (A) 46 (B) 106 (C) 510 (D) 1050 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
1050
(1050 - 30)/2 = 510
(510 - 26)/2 = 242
(242 - 22)/2 = 110
(110 - 18)/2 = 46
(46- 14)/2 = 16
(16- 10)/2 = 3
Hence, ... | 49,173 |
<|im_start|>user
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values... | 58,615 |
<|im_start|>user
0.35 represents what percent of 0.05?
Answer Choices: (A) 0.05% (B) 0.5% (C) 5% (D) 700% (E) 5000%<|im_end|>
<|im_start|>assistant
<think>
</think>
One more method
0.35 represents what percent of 0.05?
Adjusting the decimal
35 represents what percent of 5?
Divide by 5
7 represents what percent of 1?
... | 84,541 |
<|im_start|>user
|x+3| – |4-x| = |8+x| How many S solutions will this equation have?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
|x| = x when x >= 0 (x is either positive or 0)
|x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 beca... | 46 |
<|im_start|>user
On a Monday in a certain restaurant, 30 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Answer Choices: (A) 15% (B) 16% (C) 18% (D) 22% (E) 3... | 95,185 |
<|im_start|>user
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 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) 12.5% (E)... | 72,466 |
<|im_start|>user
In how many different ways can the letters of the word 'SCHOOL' be arranged so that the vowels always come together?
Answer Choices: (A) 120 (B) 140 (C) 145 (D) 150 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
'SCHOOL' contains 6 different letters.
vowels OO are always together
we have to... | 87,245 |
<|im_start|>user
If the probability of rain on any given day in City X is 50%, what is probability that it rains on exactly 3 days in a 4 day period?
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16 (E) 3/16<|im_end|>
<|im_start|>assistant
<think>
</think>
One possible way is rain-rain-rain-no rain.
The probability o... | 11,404 |
<|im_start|>user
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Answer Choices: (A) 20 m (B) 22 m (C) 24 m (D) 26 m (E) 28 m<|im_end|>
<|im_start|>a... | 80,272 |
<|im_start|>user
A train 440 meters long is running with a speed of 45 kmph. The time taken by it to cross a tunnel 180 meters long is?
Answer Choices: (A) 40.6 sec (B) 41.6 sec (C) 42.6 sec (D) 49.6 sec (E) 44.6 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 440 + 180 =620
S = 45 * 5/18 = 12.5 mps
T = 620/... | 9,769 |
<|im_start|>user
If the digits 27 in the decimal 0.00027 repeat indefinitely, what is the value of (10^5-10^3)(0.00027)?
Answer Choices: (A) 0.27 (B) 0.027 (C) 27 (D) 0.0027 (E) 2.7e-06<|im_end|>
<|im_start|>assistant
<think>
</think>
99*0.27=26.73 approx. 27
The answer is C<|endoftext|> | 72,146 |
<|im_start|>user
Which human body system is responsible for oxygenating blood and removing carbon dioxide?
Answer choice: (A) Circulatory system. (B) Nervous system. (C) Respiratory system. (D) Digestive system.<|im_end|>
<|im_start|>assistant
<think>
</think>
The respiratory system facilitates gas exchange between t... | 86 |
<|im_start|>user
Scanning acoustic microscopes use what kind of waves to scan a specimen?
Answer choice: (A) radio waves (B) heat waves (C) gamma waves (D) sound waves<|im_end|>
<|im_start|>assistant
<think>
</think>
Scanning acoustic microscopes use sound waves to scan a specimen. These microscopes are useful in bio... | 11,272 |
<|im_start|>user
An individual with down's syndrome has 47 of what instead of the normal 46?
Answer choice: (A) ribosomes (B) mitochondria (C) chromosomes (D) prokaryotes<|im_end|>
<|im_start|>assistant
<think>
</think>
16.9 Human genetic disorders Down's Syndrome(Mongolism) Down's Syndrome is usually produced by the... | 7,798 |
<|im_start|>user
What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?
Answer Choices: (A) 8000 (B) 10,400 (C) 12,500 (D) 13,000 (E) 15,000<|im_end|>
<|im_start|>assistant
<think>
</think>
400 is 8*50 and 600 is 8*75...
Average of 400 and 600= 500, extreme multiples of 8..
# of multiples o... | 78,339 |
<|im_start|>user
252 can be expressed as a product of prime as
Answer Choices: (A) 2 x 2 x 3 x 3 x 7 (B) 2 x 2 x 2 x 3 x 7 (C) 3 x 3 x 3 x 3 x 7 (D) 2 x 3 x 3 x 3 x 7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Clearly, 252 =2 x 2 x 3 x 3 x 7
The answer is A<|endoftext|> | 20,384 |
<|im_start|>user
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1.5 minute each, how soon will the tank be filled?
Answer Choices: (A) 2 hours (B) 4 hours (C) 5 hours (D) 2 hours 15 min (E) 3... | 17,409 |
<|im_start|>user
What is the opening formed between adjacent vertebrae for the exit of a spinal nerve called?
Answer choice: (A) intervertebral foramen (B) inferior vertebral notch (C) sympathetic ganglion (D) spinous process<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 7.24 Intervertebral Disc The bodies ... | 3,039 |
<|im_start|>user
A mixture of 70 lts. Of wine and water contains 10% of water. How much water must be added to make 37% of the resulting mixture?
Answer Choices: (A) 30 (B) 31 (C) 32 (D) 33 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
Its given that currently water is 10% of the mixture.
=> (10/100)(70) = ... | 47,097 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer Choices: (A) 100 (B) 120 (C) 130 (D) 150 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = ... | 93,109 |
<|im_start|>user
The first five numbers in a regular sequence are 4, 10, X, 46, and 94. What is x ?
Answer Choices: (A) 28 (B) 26 (C) 30 (D) 22 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actu... | 20 |
<|im_start|>user
A coin is tossed three times. What is the probability that there is at the least one tail?
Answer Choices: (A) 7/8 (B) 6/7 (C) 1/7 (D) 3/7 (E) 1/31<|im_end|>
<|im_start|>assistant
<think>
</think>
Let P(T) be the probability of getting least one tail when the coin is tossed three times.
= There is no... | 50,820 |
<|im_start|>user
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 20,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second ... | 42,376 |
<|im_start|>user
Digestion and respiration are both facilitated by the pharynx, more commonly called the what?
Answer choice: (A) esophagus (B) sinus (C) nose (D) throat<|im_end|>
<|im_start|>assistant
<think>
</think>
The Pharynx The pharynx (throat) is involved in both digestion and respiration. It receives food an... | 1,981 |
<|im_start|>user
01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?
Answer Choices: (A) Wednesday (B) Sunday (C) Friday (D) Tuesday (E) Thursday<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given that January 1, 2007 was Monday.
Odd days in 2007 = 1 (we have taken the complete year 200... | 51,173 |
<|im_start|>user
Find the fourth proportional to 2.4, 4.6 and 7.6?
Answer Choices: (A) 14 (B) 14.56 (C) 15.14 (D) 15.17 (E) 15.26<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = Fourth proportional = (b × c)/a
A = 2.4 , B = 4.6 and C = 7.6
(4.6 × 7.6)/2.4 = 14.56
B
The answer is B<|endoftext|> | 88,111 |
<|im_start|>user
What is the greatest prime factor of 4^16 - 2^28?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
I'm happy to help with this.
We know 4 = 2^2, so 4^17 = (2^2)^17 = 2^(2*16) = 2^32
That takes advantage of a law of exponents that says (a^n)^m = a^(n*m)
S... | 87,101 |
<|im_start|>user
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Answer Choices: (A) 122443 (B) 154546 (C) 165454 (D) 186545 (E) 220030<|im_end|>
<|im_start|>assistant
<think>
</think>
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
E
The an... | 63,279 |
<|im_start|>user
Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 9?
Answer Choices: (A) 3x + 4y = 18 (B) 3x – 4y = 24 (C) 5y – 3x = 26 (D) 1.5y + 2x = 18 (E) 8x – 6y = 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Perpendicular lines have ... | 26,117 |
<|im_start|>user
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Answer Choices: (A) 23 (B) 18 (C) 20 (D) 19 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option B... | 62,130 |
<|im_start|>user
The diameter of a garden roller is 1.2 m and it is 2 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)
Answer Choices: (A) 40 m2 (B) 44 m2 (C) 48 m2 (D) 37.7 m2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Required area covered in 5 revolutions
= 5 × 2πr... | 13,815 |
<|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... | 5,967 |
<|im_start|>user
A certain restaurant offers 3 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Answer Choices: (A) 8 (B) 12 (C) 15 (D) 21 (E) 9<|im_end|>
... | 40,326 |
<|im_start|>user
The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 8748 sq. m, the cost of fencing the field @ 25 paise per metre is
Answer Choices: (A) Rs. 55.50 (B) Rs. 67.50 (C) Rs. 86.50 (D) Rs. 94.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Le... | 92,167 |
<|im_start|>user
If b does not equal zero, and ab = b/3, what is the value of a?
Answer Choices: (A) A) 1/8 (B) B) 1/4 (C) C) 1/3 (D) D) 1/2 (E) of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
To solve for a, divide both sides of the equation by b: ab = b/3
(ab)/b = (b/3)/b
a = (b/3)*1/b
a ... | 95,578 |
<|im_start|>user
When drinking water is treated, what is the term for when chemicals cause solids in the water to clump together?
Answer choice: (A) clumping (B) coagulation (C) oxidation (D) plasma<|im_end|>
<|im_start|>assistant
<think>
</think>
You can see how water for drinking is treated in Figure below . Treati... | 5,843 |
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