text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
If 63 percent of a class answered the first question on a certain test correctly, 49 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Answer Choices: (A) 22% (B) 24% (C) 26% (D) 28% (E) 32%<|im_... | 31,726 |
<|im_start|>user
A man can do a piece of work in 6 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Answer Choices: (A) 5 (B) 7 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Son's 1day's work = (1/3)-(1/6) = 1/6
The son alone can do the work in 6 d... | 43,613 |
<|im_start|>user
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Answer Choices: (A) 1800 (B) 2000 (C) 2200 (D) 2400 (E) 2600<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of a saree a... | 52,307 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 1,873 |
<|im_start|>user
A bag contains 6 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Answer Choices: (A) 1/7 (B) 2/9 (C) 3/11 (D) 3/28 (E) 2/3<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of balls = 6+2 = 8
n(S) = 8C3 = 8*7*6 / 3*... | 87,468 |
<|im_start|>user
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Answer Choic... | 70,311 |
<|im_start|>user
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 2(x+ y) > 2z
III. yz > xz
IV. xy > y + z
Answer Choices: (A) I only (B) II only (C) II and III only (D) II and IV only (E) III and IV only<|im_end... | 85,477 |
<|im_start|>user
The length of a rectangular floor is more than its breadth by 200%. If Rs.150 is required to paint the floor at the rate of Rs. 2 per sq m, then what would be the length of the floor?
Answer Choices: (A) 65 (B) 15 (C) 18 (D) 16 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length an... | 74,224 |
<|im_start|>user
The smallest value of n, for which 2n+3 is not a prime number, is
Answer Choices: (A) 4,5 (B) 3,4 (C) 2,6 (D) 5,6 (E) 2,3<|im_end|>
<|im_start|>assistant
<think>
</think>
(2×1 + 3) = 5.
(2×2 + 3) = 7.
(2×3 + 3) = 9.
(2×4 + 3) = 15.
which is not prime , n=3,4.
The answer is B<|endoftext|> | 81,076 |
<|im_start|>user
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the student earned for the 20 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days ... | 18,434 |
<|im_start|>user
The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 110 visitors who did not enjoy the ... | 83,724 |
<|im_start|>user
The average of ten numbers is 7. If each number is multiplied by 11, then what is the average of the new set of numbers?
Answer Choices: (A) 11 (B) 18 (C) 77 (D) 110 (E) 121<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the ten numbers is 7*10 = 70
If each number is multiplied by 11, th... | 8,509 |
<|im_start|>user
If s,t ,and u are positive real numbers such that s(t+u) = 152, t(u+s) =162 , and u(s+t) = 170, then stu is
Answer Choices: (A) a) 672 (B) b) 688 (C) c) 704 (D) d) 720 (E) e) 750<|im_end|>
<|im_start|>assistant
<think>
</think>
st+su = 152 ----------------------------- tu+ts = 162---------------... | 7,136 |
<|im_start|>user
which of the following inequalities indicates the set of all values of d for which the lengths Q of the three sides of a triangle can be 3,4, and d?
Answer Choices: (A) 0<d<1 (B) 0<d<5 (C) 0<d<7 (D) 1<d<5 (E) 1<d<7<|im_end|>
<|im_start|>assistant
<think>
</think>
This question is a good way to apply ... | 65,225 |
<|im_start|>user
If a person walks at 16 km/hr instead of 8 km/hr, he would have walked 20 km more. The distance traveled by him if he walked at 16 km/hr?
Answer Choices: (A) 50 km (B) 58 km (C) 60 km (D) 70 km (E) 40 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the actual distance traveled be x km. Then,
... | 31,931 |
<|im_start|>user
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fai... | 87,391 |
<|im_start|>user
If the radius of a circle is increased by 60% then the area is increased by:
Answer Choices: (A) 44% (B) 120% (C) 156% (D) 40% (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
initially A=pi*r2
now R2=160/100r
then area=Pi*(160R/100)2
area=256R/100
that is area increases from 10... | 97,030 |
<|im_start|>user
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 44 hours. If Harr... | 19,992 |
<|im_start|>user
A space shuttle orbits the earth at about 9 kilometers per second. This speed is equal to how many kilometers per hour?
Answer Choices: (A) 480 (B) 2,880 (C) 4,800 (D) 28,800 (E) 32,400<|im_end|>
<|im_start|>assistant
<think>
</think>
Seconds in 1 hours:
60s in 1 min
60 min in 1 hr
60*60=3600 se... | 5,917 |
<|im_start|>user
An alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is:
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 3 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
5/8*16=10
3/8*16=6
(10+x)/6=3/1
=8
... | 71,972 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Gravitational potential energy is stored between any two objects. So, for every object on or near Earth, there is gravitational potential energy stored between the object and Earth.
The amount of gravitational potential ener... | 3,513 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 10km/h (C) 12km/h (D) 13km/h (E) 14km/h<|im_end|>
<|im_start|>assistant
... | 95,414 |
<|im_start|>user
The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers, what is the last of these numbers?
Answer Choices: (A) 17 (B) 19 (C) 15 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the three consecutive odd numbers be... | 29,174 |
<|im_start|>user
If 213 × 16 = 3408, then 1.6 × 213.0 is equal to :
Answer Choices: (A) 0.3408 (B) 3.408 (C) 34.08 (D) 340.8 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
1.6 × 21.3 = (16/10x 213)= (16x 213/10) = 3408/10 = 340.8.
The answer is D<|endoftext|> | 13,990 |
<|im_start|>user
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person?
Answer Choices: (A) 56 kg (B) 80 kg (C) 85 kg (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
B
80 kg... | 88,573 |
<|im_start|>user
One side of a rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field.
Answer Choices: (A) 100 (B) 120 (C) 150 (D) 180 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Other side = √(17)2 - (15)2
= √289 - 225
= √64
= 8 m.
∴ Area = (15 x 8)m2 = 120 m2.
T... | 77,120 |
<|im_start|>user
What system lets flatworms maintain a proper balance of water and salts?
Answer choice: (A) homeostasis (B) nervous (C) digestive (D) excretory<|im_end|>
<|im_start|>assistant
<think>
</think>
Flatworms reflect several major evolutionary advances in invertebrates. They have three embryonic cell layer... | 990 |
<|im_start|>user
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6% p.a for 2 years. Find his gain in the transaction per year.
Answer Choices: (A) 100 (B) 150 (C) 225 (D) 112.5 (E) 212.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
The p... | 80,102 |
<|im_start|>user
Bobby bought 2 shares, and which he sold for $96 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares Bobby had...
Answer Choices: (A) a profit of 10 (B) a profit of 8 (C) a loss of 8 (D) a loss of 10 (E) neit... | 68,278 |
<|im_start|>user
Given that a “16-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 16-inch pizza gives you approximately what percent increase in the total amount of pizza?
Answer Choices: (A) 33 (B) 50 (C) 67 (D) 180 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</th... | 93,016 |
<|im_start|>user
A certain manufacturer of cake, muffin, and bread mixes has 80 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchas... | 47,307 |
<|im_start|>user
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $300. Find the original price of petrol?
Answer Choices: (A) $11 (B) $5 (C) $45 (D) $400 (E) $6.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Price decreased by 10%, so 9/10 times, which means that original ga... | 89,655 |
<|im_start|>user
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporatio... | 37,768 |
<|im_start|>user
If w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2wy have?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 2wy prime factors are w^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8... | 92,225 |
<|im_start|>user
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length
Answer Choices: (A) 33 (B) 44 (C) 55 (D) 77 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
T = (660 + 165)/54 * 18/5
T = 55
The answer is C<|endoftext|> | 47,445 |
<|im_start|>user
Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ?
Answer Choices: (A) x = 4, y = 8 (B) x = 4, y = 4 (C) x = 2, y = 4 (D) x = 8, y = 4 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
3 1/x * y 2/5 =... | 58,165 |
<|im_start|>user
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
Answer Choices: (A) 22 (B) 27 (C) 20 (D) 21 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621
SP = Rs. 496.80, Discount =... | 85,869 |
<|im_start|>user
Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature T in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Answer Choices: ... | 27,044 |
<|im_start|>user
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 16 hours respectively. The ratio of their speeds is
Answer Choices: (A) 4:1 (B) 4:2 (C) 4:5 (D) 4:3 (E) 4:6<|im_end|>
<|im_start|>assistant
<think>
</thi... | 93,469 |
<|im_start|>user
Two family reunions are happening at the Park Avenue hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. If 40 people attend the Oates reunion and 70 people attend the Hall reunion, how many people attend both reunions
Answer Choices: (A) 2 (... | 69,557 |
<|im_start|>user
if the price of a book is first decreased by 15% and then increased by 10%, then the net change in the price will be :
Answer Choices: (A) 10 (B) 388 (C) 6.5 (D) 29 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the original price be Rs. 100.
Decreased by 15% = 85
Then incre... | 91,080 |
<|im_start|>user
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed:
Answer Choices: (A) 27 birds (B) 72 birds (C) 30 birds (D) 80 birds (E) 20 birds<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total number of shots be x. Then... | 49,748 |
<|im_start|>user
If a and b are digits, and the number a,11b is evenly divisible by 88, what are the values of a and b?
Answer Choices: (A) a = b = 9 (B) a = b = 7 (C) a = b = 5 (D) a = b = 2 (E) a = b = 1<|im_end|>
<|im_start|>assistant
<think>
</think>
a,11b, divisible by 88.
Factors of 88 = (8)(11)
Divisible by 8:... | 71,238 |
<|im_start|>user
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Answer Choices: (A) 5,500,148 kilometers squared (B) 8,500,14... | 60,149 |
<|im_start|>user
In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination ?
Answer Choices: (A) 12 (B) 27 (C) 26 (D) 11 (E) 22<|im... | 93,522 |
<|im_start|>user
Which disease causes cells to divide out of control
Answer choice: (A) autoimmune diseases (B) mutation (C) arthritis (D) cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
Cancer is a disease that causes cells to divide out of control. Normally, the body has systems that prevent cells from divi... | 7,034 |
<|im_start|>user
A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 550-mile journey? Assume that the train makes no intermediate stops.
Answer Choices: (A) 8 (B) 8.... | 42,336 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 4,304 |
<|im_start|>user
By selling a house for Rs.35000, it was found that 1/6 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Answer Choices: (A) 38020 (B) 28500 (C) 38028 (D) 38019 (E) 38192<|im_end|>
<|im_start|>assistant
<think>
</think>
CP + CP/6 = 35000
CP = 30000
SP... | 12,911 |
<|im_start|>user
A man is running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a
120 metres long train. The train is running at 45 kmph in the same direction. How much time does it take for the train to pass the man?
Answer Choices: (A) 46 sec (B) 36 sec (C) 18 sec (D) 22 sec (E) 30 sec<|im_... | 86,261 |
<|im_start|>user
A is 20 percent more efficient than B. If the two person can complete a piece of work in 60 days.in how many days. A working alone can complete the work
Answer Choices: (A) 110 (B) 277 (C) 287 (D) 279 (E) 2781<|im_end|>
<|im_start|>assistant
<think>
</think>
As A is 20% more efficient than B, If B's ... | 4,367 |
<|im_start|>user
If points X and Y are two distinct points in the coordinate plane, which of the following can have more than one possible value?
Answer Choices: (A) The circumference of a circle with diameter XY. (B) The area of a square with diagonal XY. (C) The perimeter of a right isosceles triangle with a leg XY. ... | 22,952 |
<|im_start|>user
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Answer Choices: (A) 1/5 (B) 1/2 (C) 1/9 (D) 1/8 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive outcomes is 36.
Let E be the event of getting an ... | 26,317 |
<|im_start|>user
In what type of diabetes can the pancreas still make insulin, but the cells of the body cannot use it efficiently?
Answer choice: (A) type 3 diabetes (B) type 1 diabetes (C) type 2 diabetes (D) type A diabetes<|im_end|>
<|im_start|>assistant
<think>
</think>
Type 2 diabetes occurs when body cells are... | 6,525 |
<|im_start|>user
A and B participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which A defeats B ?
Answer Choices: (A) 5040 (B) 2520 (C) 720 (D... | 44,771 |
<|im_start|>user
A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 800 that is both a prime and a palindrome. What is the sum of the digits of p?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assis... | 993 |
<|im_start|>user
Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
Answer Choices: (A) 7 min (B) 9 min (C) 4 min (D) 9 min (E) 1 min<|im_end|>
<|im_start|>assistant
<think>
</thi... | 25,012 |
<|im_start|>user
If selling price is doubled, the profit triples. Find the profit percent.
Answer Choices: (A) 100 % (B) 50 % (C) 25 % (D) 18 % (E) 12 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C.P. be Rs. x and S.P. be Rs. y.
Then, 3(y - x) = (2y - x) y = 2x.
Profit = Rs. (y - x) = Rs. (2x -... | 2,922 |
<|im_start|>user
At what rate percent of simple interest will a sum of money double itself in 11 years?
Answer Choices: (A) 9.09 % (B) 4.54 % (C) 8 .2 % (D) 4.94 % (E) 5.54 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 11)
= 100/11 = 9... | 92,576 |
<|im_start|>user
Four cups of water are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of water should be poured into the 4-cup bottle?
Answer Choices: (A) 2/3 (B) 8/3 (C) 5/2 (D) 7/3 (E) 3<|im_end|>
<|im_start|>assistant
<thi... | 37,005 |
<|im_start|>user
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?
Answer Choices: (A) 150 (B) 250 (C) 350 (D) 550 (E) 650<|im_end|>
<|im_start|>assistant
<think>
</think>
Circumference = No.of revolutions * Distance covered... | 26,807 |
<|im_start|>user
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
Answer Choices: (A) 0 (B) 2 (C) 3 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Unit digit in (6374)1793 = Unit digit in (4)1793
= Unit digit in [(42)896 x 4]
= Unit digit in (6 x 4) = 4
Unit digit in (625)317 =... | 13,706 |
<|im_start|>user
3x^2-6x+3 = 0
Find the above equation find the value of x
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 3, b = -6, c = 3
x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6
x1 = x2 = 1
B
The answer is B<|endoftext|> | 69,290 |
<|im_start|>user
The length of a room is 8 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Answer Choices: (A) 25650 (B) 25750 (C) 26550 (D) 26750 (E) 34200<|im_end|>
<|im_start|>assistant
<think>
</think>
Area = 8 × 4.75 sq. metre.
Cost for 1 sq. metre. = Rs... | 15,034 |
<|im_start|>user
Jimmy Bullard and his friend went for fishing.
They got six fishes without heads, nine fishes without the tail and eight fishes cut in two halves.
How many fishes did they caught ?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
zero
6 without ... | 71,385 |
<|im_start|>user
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is
Answer Choices: (A) 33 (B) 87 (C) 27 (D) 48 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
... | 8,399 |
<|im_start|>user
What is a silver-colored alkaline earth metal that is even softer than calcium?
Answer choice: (A) strontium (B) mercury (C) magnesium (D) lithium<|im_end|>
<|im_start|>assistant
<think>
</think>
Strontium is a silver-colored alkaline Earth metal that is even softer than calcium. Strontium compounds ... | 2,472 |
<|im_start|>user
Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
Answer Choices: (A) 12 (B) 9 (C) 14 (D) 7 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
(3*5)*(2*2*2*2*2)*(5*5)*(2*11)*(2*2*2*2*5)*(5*5*3)*(2*7*7)*(2*2*2*2*7)*(5*5*5)
there are 9 (5*2) pairs which gives zero
so.no of ze... | 60 |
<|im_start|>user
What is the field of biology that focuses on the study of inheritance in humans?
Answer choice: (A) generational biology (B) computational biology (C) relational biology (D) human genetics<|im_end|>
<|im_start|>assistant
<think>
</think>
Human genetics is the field of biology that focuses on the stud... | 1,566 |
<|im_start|>user
In a kilometer race, A beats B by 51 meters or 11 seconds. What time does A take to complete the race?
Answer Choices: (A) 22 (B) 190 (C) 277 (D) 204 (E) 208<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken by B run 1000 meters = (1000 * 11)/51 = 215 sec.
Time taken by A = 215 - 11 = 204 s... | 65,206 |
<|im_start|>user
9, 16, 17, 25, 36,49
Answer Choices: (A) 9 (B) 16 (C) 17 (D) 25 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Each of the numbers except 17, is perfect square.
The answer is C<|endoftext|> | 34,540 |
<|im_start|>user
If a large pizza has a radius that is 20% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Answer Choices: (A) 20% (B) 36% (C) 44% (D) 50% (E) 64%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the radius of medium pizza be r. Then the... | 7,543 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 4,983 |
<|im_start|>user
If among 5 children there are 2 siblings, in how many ways can the children be seated in a row so that the siblings do not sit together?
A. 38
B. 46
C. 72
D. 86
E. 102
Answer Choices: (A) 38 (B) 46 (C) 72 (D) 86 (E) 102<|im_end|>
<|im_start|>assistant
<think>
</think>
Without limitations, 5 children ... | 93,422 |
<|im_start|>user
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 7}. What is the probability that the median of the set will increase but the range still remains the same?
Answer Choices: (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5 (E) 0.6<|im_end|>
<|im_start|>assistant
<think>
</think>
We are sel... | 58,117 |
<|im_start|>user
What is the angle between the two hands of a clock when time is 8:30
Answer Choices: (A) 15 degree (B) 45 degree (C) 55 degree (D) 75 degree (E) 65 degree<|im_end|>
<|im_start|>assistant
<think>
</think>
Use the formula i.e
1/2(60h-11m) // h-hour and m-minute
1/2(60*8-11*30)
1/2(150)
75 degree
The an... | 63,028 |
<|im_start|>user
Alveolar ducts and broncioles are developing parts of what organ system?
Answer choice: (A) nervous (B) immune (C) digestive (D) respiratory<|im_end|>
<|im_start|>assistant
<think>
</think>
Weeks 16–24 Once the respiratory bronchioles form, further development includes extensive vascularization, or t... | 7,194 |
<|im_start|>user
The present ratio of students to teachers at a certain school is 50 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Answer Choices: (A) 3 (B... | 82,535 |
<|im_start|>user
By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
Answer Choices: (A) 444.44 (B) 444.409 (C) 444.42 (D) 444.429 (E) 444.428<|im_end|>
<|im_star... | 66,187 |
<|im_start|>user
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Answer Choices: (A) 1 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
If he draws... | 46,527 |
<|im_start|>user
If P(A) = 8/15, P(B) = 4/15, and P(A ∪ B) = 16/15 Find P(B|A)
Answer Choices: (A) 1/2 (B) 2/3 (C) 3/2 (D) 2 (E) 4/7<|im_end|>
<|im_start|>assistant
<think>
</think>
P(B|A) = P(A ∪ B)/P(A)
P(B|A) = (16/15)/(8/15) = 2.
D
The answer is D<|endoftext|> | 29,581 |
<|im_start|>user
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Answer Choices: (A) 57% (B) 58% (C) 60% (D) 65% (E) 68%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (1136 ... | 8,148 |
<|im_start|>user
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Answer Choices: (A) 39 (B) 27 (C) 30 (D) 26 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
20 + 24 + 8 * 2 = 60/2 = 30
The answer is C<|en... | 78,642 |
<|im_start|>user
The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 3x)^3 is between
Bunuel, can you please explain this one?
Answer Choices: (A) 0 and 0.5 (B) 0.5 and 1 (C) 1 and 1.5 (D) 1.5 and 2 (E) 2 and 2.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Trial and error would probably be the ... | 89,875 |
<|im_start|>user
When average age of 23 members are 0, how many members greater than 0?
Answer Choices: (A) 17 (B) 22 (C) 21 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Average of 23 numbers = 0.
Sum of 23 numbers (0 x 23) = 0.
It is quite possible that 22 of these numbers may be positive and if th... | 71,671 |
<|im_start|>user
A man arranges to pay off a debt of Rs 3600 by 40 annual installments which are in A.P. When 30 of the installments are paid he dies leaving one-third of the debt unpaid.
The value of the 8th installment is:
Answer Choices: (A) Rs 35 (B) Rs 50 (C) Rs 65 (D) Rs 70 (E) Rs 80<|im_end|>
<|im_start|>assista... | 1,835 |
<|im_start|>user
A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
Answer Choices: (A) 11:00 (B) 11:30 (C) 12:00 (D) 12:30 (E) 1:00<|im_end|>
<|im_start|>assistant
<think>
</think>... | 23,286 |
<|im_start|>user
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 5. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps... | 94,890 |
<|im_start|>user
The tax on a commodity is diminished by 40% but its consumption is increased by 25%. Find the decrease percent in the revenue derived from it?
Answer Choices: (A) 18% (B) 72% (C) 25% (D) 12% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
60 * 125 = 7500
10000------- 2500
1... | 7,595 |
<|im_start|>user
A man can row 4.8 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
Answer Choices: (A) 1.9 (B) 1.7 (C) 1.2 (D) 1.5 (E) 1.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of boat in still water (b) = 4.8 km/hr. Speed of bo... | 49,994 |
<|im_start|>user
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of5% p.a. was Rs.246. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Answer Choices: (A) Rs.2535 (B) Rs.2646 (C) Rs.2546 (D) Rs.2656 (E) Rs.256... | 53,270 |
<|im_start|>user
Antibiotic drugs are usually effective in treating what kind of infections?
Answer choice: (A) viral (B) lethal (C) biological (D) bacterial<|im_end|>
<|im_start|>assistant
<think>
</think>
Bacterial infections of urinary organs, especially the urinary bladder, are common. They are called urinary tra... | 10,052 |
<|im_start|>user
Find the 37.5% of 976 ?
Answer Choices: (A) 368 (B) 655 (C) 366 (D) 437 (E) 545<|im_end|>
<|im_start|>assistant
<think>
</think>
37.5 % of 976
= 37.5/100 * 976 = 375/1000 * 976 = 3/8 * 976
= 3 * 122 = 366.
The answer is C<|endoftext|> | 2,868 |
<|im_start|>user
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Answer Choices: (A) 5 (B) 7 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) ... | 50,332 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of tiny particles called atoms. Atoms are always moving.
The energy of moving atoms is called thermal energy. The total amount of thermal energy in matter depends on three things: the type of matter, the amoun... | 1,603 |
<|im_start|>user
A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A.
Answer Choices: (A) $1200 (B) $1300 (C) $1400 (D) $1500 (E) $1600<|im_end|>
<|im_start|>assistant
<think>
</think>
The ratio of capital o... | 86,968 |
<|im_start|>user
The white fluffy part of popcorn is also what?
Answer choice: (A) phosphor (B) membrane (C) jiffy (D) endosperm<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 6,054 |
<|im_start|>user
Three numbers are in the ratio 1:4:6 and their H.C.F is 7. The numbers are?
Answer Choices: (A) 7, 28, 40 (B) 7, 28, 42 (C) 7, 28, 45 (D) 7, 21, 42 (E) 7, 28, 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required numbers be x, 4x and 6x. Then, their H.C.F = x. So, x = 7.
The numbers ar... | 18,812 |
<|im_start|>user
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.
Answer Choices: (A) 83.5% (B) 87.5% (C) 88.5% (D) 89.5% (E) 484 rupees<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this type of question, we will first try to calculate th... | 1,970 |
<|im_start|>user
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Answer Choices: (A) 22377 (B) 27782 (C) 27891 (D) 25000 (E) 18771<|im_end|>
<|im_start|>assistant
<think>
</think>
25 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
25 = 1/100 * x => x = 25000
The ans... | 51,745 |
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