text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzal... | 31,118 |
<|im_start|>user
Exactly four sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll?
Answer Choices: (A) 0.3 (B) 0.2 (C) 0.01 (D) 0.148 (E) 0.144<|im_end|>
<|im_start|>assistant
<think>
</think>
Total... | 84,175 |
<|im_start|>user
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Answer Choices: (A) 288 (B) 2778 (C) 299 (D) 400 (E) 287<|im_end|>
<|im_start... | 87,051 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 1,756 |
<|im_start|>user
If the number 52,1n7, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Answer Choices: (A) 7 (B) 5 (C) 2 (D) 1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
The sum of the digits 5 + 2 + 1 + n + 7 must be a multiple of 3
15 + n must ... | 60,132 |
<|im_start|>user
Albert completes a piece of work in 20 days, Rose completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 10 (B) 12 (C) 15 (D) 20 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
If A can complete a work i... | 52,284 |
<|im_start|>user
A military commander has to choose 3 soldiers out of a company of 6 for guarding the headquarters. How many different group combinations of 3 does he have to choose from?
Answer Choices: (A) 20 (B) 15 (C) 16 (D) 27 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
A military commander has to ch... | 46,985 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 1,634 |
<|im_start|>user
In an electric circuit, two resistors with resistances G and H are connected in parallel. In this case, if I is the combined resistance of these two resistors, then the reciprocal of I is equal to the sum of the reciprocals of G and H. What is I in terms of G and H?
Answer Choices: (A) (GH) (B) (G+H) ... | 94,829 |
<|im_start|>user
Suraj has a certain average of runs for 9 innings. In the 10th innings he scores 200 runs thereby increasing his average by 8 runs. What is his average after the 10th innings?
Answer Choices: (A) 149 (B) 190 (C) 128 (D) 178 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
To improve his avera... | 61,166 |
<|im_start|>user
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last wee... | 76,465 |
<|im_start|>user
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 2:5. The first number is:
Answer Choices: (A) A) 33 (B) B) 98 (C) C) 34 (D) D) 35 (E) E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
(3x-9):(5x-9) = 2:5
x = 11 => 3x = 33
The answer is A<|endoftext|> | 40,420 |
<|im_start|>user
A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 15 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Answer Choices: (A) $204 (B) $216 (C) $220 (D) $230 ... | 24,407 |
<|im_start|>user
A man can row upstream at 15 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 65 (B) 86 (C) 30 (D) 78 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 15
DS = 35
M = (35 + 15)/2
= 25
The answer is E<|endoftext|> | 49,175 |
<|im_start|>user
A and B can together complete a piece of work in 4 days. If A alone can complete the same work in 12
days, in how many days can B alone complete that work ?
Answer Choices: (A) 4 days (B) 5 days (C) 6 days (D) 7 days (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(A+B... | 17,367 |
<|im_start|>user
Harry started a 7-mile hike with a full 9-cup canteen of water and finished the hike in 2 hours with 3 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 2 cups of water during the last mile, how many cups did he drink per mile during the first 6 ... | 96,199 |
<|im_start|>user
If 20 % of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together.
Answer Choices: (A) 11... | 44,308 |
<|im_start|>user
When sand is deposited along a shoreline, what is created?
Answer choice: (A) beach (B) island (C) dunes (D) bay<|im_end|>
<|im_start|>assistant
<think>
</think>
Sand deposited along a shoreline creates a beach.
The answer is A<|endoftext|> | 4,073 |
<|im_start|>user
What is the main factor that sets Earth apart from the other inner planets?
Answer choice: (A) Earth's large size. (B) Earth's ability to sustain life. (C) Earth's lack of atmosphere. (D) Earth's lack of oceans.<|im_end|>
<|im_start|>assistant
<think>
</think>
Earth is unique among the inner planets ... | 123 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 3,175 |
<|im_start|>user
Where are most of the organs contained in insects?
Answer choice: (A) head (B) appendages (C) thorax (D) the abdomen<|im_end|>
<|im_start|>assistant
<think>
</think>
Like other arthropods, insects have three body segments and many jointed appendages. The abdomen contains most of the internal organs. ... | 1,680 |
<|im_start|>user
What is the most familiar fibrous protein found in your body?
Answer choice: (A) keratin (B) cellulose (C) Actin (D) Collagen<|im_end|>
<|im_start|>assistant
<think>
</think>
Intermediate filaments have no role in cell movement. Their function is purely structural. They bear tension, thus maintaining... | 10,696 |
<|im_start|>user
Biochemical reactions are optimal at physiological temperatures because many what lose function at lower and higher temperatures?
Answer choice: (A) hormones (B) carbohydrates (C) enzymes (D) neurons<|im_end|>
<|im_start|>assistant
<think>
</think>
Biochemical reactions are optimal at physiological t... | 5,454 |
<|im_start|>user
Susan weighs 7 pounds more than Anna does, and together they weigh a total of 127 pounds. Which of the following represents Anna’s weight in pounds?
Answer Choices: (A) 55 (B) 58 (C) 62 (D) 63 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight = 127
Anna's weight = 127-7 /2 = 60
The... | 32,109 |
<|im_start|>user
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Answer Choices: (A) 58kgs (B) 58.85kgs (C) 58.95kgs (D) 59kgs (E) 59.85kgs<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 77,852 |
<|im_start|>user
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 3 hours?
Answer Choices: (A) 2.4. (B) 3.6. (C) 4.8. (D) 5.5. (E) 6.4<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate =... | 25,424 |
<|im_start|>user
What is the solution of the equations x - y = 0.1 and 1(x + y)-1 = 2 ?
Answer Choices: (A) x = 0.3, y = -0.2 (B) x = 1, y = 0.1 (C) x = 2, y = 1.1 (D) x = 1.2, y = 0.3 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
x - y = 0.1 ...(i)
and 1(x + y)-1=2
⇒ 1/ (x + y) = 2
⇒ 2(x + y) =1
⇒... | 72,876 |
<|im_start|>user
The major component of what cellular structures is the phospholipid bilayer?
Answer choice: (A) cytoplasm (B) cell membranes (C) nuclei (D) ribosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 3.20 The phospholipid bilayer is the major component of all cellular membranes. The hydrophilic... | 9,645 |
<|im_start|>user
The diagonals of two squares are in the ratio of 3:7 then find the ratio of its areas?
Answer Choices: (A) 7:37 (B) 6:46 (C) 9:49 (D) 8:68 (E) 6:61<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the diagonals of the squares be 3x and 7x
Ratio of their areas = 1/2 (3x)^2 : 1/2 (7x)^2 = 9x^2 : 49... | 92,810 |
<|im_start|>user
The two lines y=x and x=-7 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
Answer Choices: (A) 18.5 (B) 21.5 (C) 24.5 (D) 27.5 (E) 30.5<|im_end|>
<|im_start|>assistant
<think>
</think>
The point of intersection is (-7,-7)... | 16,049 |
<|im_start|>user
In how many ways can a group of 20 friends be seated round 2 tables if one of the tables can seat 12 and the other can seat 8 people?
Answer Choices: (A) 15C5 * 9! *4! (B) 15C3 * 8! *3! (C) 20C4 * 11! * 7! (D) 21C2 * 10! *3! (E) 25C5 * 10! *4!<|im_end|>
<|im_start|>assistant
<think>
</think>
12 peopl... | 77,458 |
<|im_start|>user
Where on the earth's surface does the water cycle takes place?
Answer choice: (A) on, above, and below (B) on , below , and below (C) for , above , and below (D) inside,under,above<|im_end|>
<|im_start|>assistant
<think>
</think>
The water cycle takes place on, above, and below Earth’s surface. In th... | 10,477 |
<|im_start|>user
The class mean score on a test was 60, and the standard deviation was 10. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Answer Choices: (A) 30 (B) 31 (C) 45 (D) 90 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
1 SD from the me... | 60,445 |
<|im_start|>user
A bakery has 6 employees. It pays annual salaries of $18,000 to each of 2 employees, $20,000 to 1 employee, and $21,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Answer Choices: (A) $19,200 (B) $19,500 (C) $19,800 (D... | 5,734 |
<|im_start|>user
A man drive his car to the office at 20miles/hr.
After reaching office, he realize that its a new year holiday so he went back home at a speed of 30miles/hr.
Discounting the time spent in the stoppage what was his average speed of his journey ?
Answer Choices: (A) 23miles/hr (B) 24miles/hr (C) 25miles/... | 51,381 |
<|im_start|>user
If p and r are positive integers such that p > r > 1, what is the remainder when 92p × 5p+r + 11r × 6pr is divided by 10?
Answer Choices: (A) A.0 (B) B.1 (C) C.3 (D) D.4 (E) E.5<|im_end|>
<|im_start|>assistant
<think>
</think>
92p × 5p+r + 11r × 6pr--1=B
The answer is B<|endoftext|> | 51,512 |
<|im_start|>user
If the number 98348*0 is exactly divisible by 72, then the minimum value of * is?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
72=8*9
divisibility 0f 8 last 3place should be divisible by 8
lly divisibility of 9 sum of digit should be divisible by 9
84... | 58,276 |
<|im_start|>user
A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 35 pints of Perfect Pink paint?
Answer Choices: (A) 9 (B) 16 (C) 19 (D) 25 1/3 (E) 28 1/2<|im_end|>
<|im_start|>assistant
<think>
</t... | 64,784 |
<|im_start|>user
The concentration of spirit in three different vessels A, B and C are 45%, 30% and 10% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Answer Choices: (A) 26% (B) 33% (C) 34% (D) 35% (E) 24... | 26,916 |
<|im_start|>user
The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Answer Choices: (A) 15 m (B) 22.5 m (C) 25 m (D) 30 m (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let the length = xmetres.
Then length = (x +5)metres.
Then,x(x... | 91,285 |
<|im_start|>user
Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ?
when x = -5 and y = -2
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 =
[(-5) : (-2 - 3)] ⋅ (-4) - [(-5) ⋅ (... | 10,113 |
<|im_start|>user
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 60 metres?
Answer Choices: (A) 16 seconds (B) 76 seconds (C) 10.8 seconds (D) 12 seconds (E) 18 seconds<|im_end|>
<|im_start|>assistant
<think>... | 41,268 |
<|im_start|>user
There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability R that the both positions will be taken by members of just one party?
Answer Choices: (A) 1/25... | 37,357 |
<|im_start|>user
Ravi and Kavi start a business by investing ₹ 8000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year.
Answer Choices: (A) 2 : 9 (B) 5 : 9 (C) 7 : 9 (D) 1 : 9 (E) 3 : 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of profit = Ratio of investments
= 8000 : 72000 = ... | 69,379 |
<|im_start|>user
The ratio of the volumes of two cubes is 125 : 512. What is the ratio of their total surface areas?
Answer Choices: (A) 81 : 121 (B) 25 : 64 (C) 729 : 1331 (D) 27 : 121 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio of the sides = ³√125 : ³√512 = 5 : 8
Ratio of surface... | 38,982 |
<|im_start|>user
A man can row upstream at 12kmph and downstream at 16 kmph. The speed of the stream is
Answer Choices: (A) 2 km/hr (B) 4 km/hr (C) 5 km/hr (D) 10 km/hr (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Speed of stream = 1/2(16 -12) kmph = 2 kmph.
The answer is A<|endoftext|> | 69,312 |
<|im_start|>user
On January 1, 2011, Dimple invests 20% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 50% in Antarctic smallcaps. In 2011, largecaps rise 20%, midcaps rise 10%, and smallcaps rise 20% in the Antarctic stock market; however, in 2012, largecaps fall 10% and midcaps ... | 79,792 |
<|im_start|>user
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Answer Choices: (A) 2 : 3 (B) 4 : 3 (C) 6 : 7 (D) 9 : 16 (E) None of these<|im_end|>... | 40,029 |
<|im_start|>user
If a coin is tossed twice what is the probability that it will land either heads both times or tails both times?
Answer Choices: (A) A) 1/8 (B) B) 1/6 (C) C) 1/4 (D) D) 1/2 (E) E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Prob to get 2 heads = 1/2*1/2 = 1/4
Prob to get 2 tails = 1/2*1/2 = 1/... | 5,758 |
<|im_start|>user
an article with cost price of 192 is sold at 25% profit. what is the selling price?
Answer Choices: (A) 198 (B) 200 (C) 204 (D) 240 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
sp=1.25*192=240
The answer is D<|endoftext|> | 87,566 |
<|im_start|>user
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15%, in 2006 there is a decrement of 35% and in 2007 there is an increment of 45%, then find the population of city at theend of the year 2007
Answer Choices: (A) 2456789 (B) 3458009 (C) 3890043 (D) 3455048 (E) 1083875<|im_en... | 39,707 |
<|im_start|>user
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Answer Choices: (A) 2 (B) 7 (C) 6 (D) 4 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of the man in still water and speed of stream be x k... | 57,102 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions
Answer Choices: (A) 700 (B) 704 (C) 704 (D) 706 (E) 707<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Distance covere... | 90,991 |
<|im_start|>user
When x + p is divided by p - 2, the quotient is n and there is no remainder. Which of the following must be the value of x?
Answer Choices: (A) n(p +1) (B) n(p − 1) (C) p(n + 1) + 2n (D) p(n - 1) + 2n (E) n(p + 1) (p − 1) <|im_end|>
<|im_start|>assistant
<think>
</think>
Given in question (x+p)/... | 69,246 |
<|im_start|>user
The average of 7 consecutive numbers is 20. The largest of these numbers is
Answer Choices: (A) 12 (B) 27 (C) 23 (D) 28 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,
Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) ... | 66,469 |
<|im_start|>user
On dividing 13698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Answer Choices: (A) 743 (B) 154 (C) 852 (D) 741 (E) 785<|im_end|>
<|im_start|>assistant
<think>
</think>
Divisor *quotient+remainder=dividend
divisor=(dividend)-(remainder)/quotient
(13698-14)/89=15... | 75,589 |
<|im_start|>user
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/9 of the spending limit on t... | 15,024 |
<|im_start|>user
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent E above the cost price were his articles marked?
Answer Choices: (A) 100% (B) 80% (C) 75% (D) 66+2/3% (E) 50%<|im_end|>
<|... | 16,385 |
<|im_start|>user
15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Answer Choices: (A) 20 (B) 10 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
C
30
3W = 2M
15M ------ 21 * 8 hours
21... | 29,556 |
<|im_start|>user
The probability that A speaks truth is 3/5 and that of B speaking truth is 1/7. What is the probability that they agree in stating the same fact?
Answer Choices: (A) 18/35 (B) 18/38 (C) 18/36 (D) 18/16 (E) 15/35<|im_end|>
<|im_start|>assistant
<think>
</think>
If both agree stating the same fact, eit... | 69,639 |
<|im_start|>user
The product of two numbers is 220 and the sum of their squares is 289. The sum of the number is?
Answer Choices: (A) A) 23 (B) B) 25 (C) C) 27 (D) D) 31 (E) E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x and y.
Then, xy = 220 and x2 + y2 = 289.
(x + y)2 = x2 + y2 + 2xy = ... | 29,121 |
<|im_start|>user
A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 5% higher then what would the sum amount in the same time period?
Answer Choices: (A) Rs. 4465 (B) Rs. 3683 (C) Rs. 3596 (D) Rs. 3857 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
3422=2900+(2900*R*3/10... | 27,638 |
<|im_start|>user
find last digits of (1023^3923)+(3081^3921)
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
we have (1023^3923)+(3081^3921)
(3923/4)=4n+3 (3921/4)=4n+1 where n can be any integer
now through cyclicity we can obtain or you can learn the chart from arun... | 13,481 |
<|im_start|>user
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Answer Choices: (A) 500 (B) 520 (C) 600 (D) 300 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
70 = (P*4*7/2)/100
P = 500
The answer is A<|endoftext|> | 93,018 |
<|im_start|>user
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Answer Choices: (A) 170 (B) 180 (C) 200 (D) 210 (E) 230<|im_end|>
<|im_start|>assistant
<think>
</think>
7p3 = 7 × 6 × 5 = 210
Option 'D'
The answer is D<|endoftext|> | 40,876 |
<|im_start|>user
P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?
Answer Choices: (A) 5 days (B) 9 days (C) 30 days (D) 20 days (E) 10 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 61,209 |
<|im_start|>user
A man buys a cycle for Rs. 1400 and sells it at a loss of 10%. What is the selling price of the cycle?
Answer Choices: (A) s. 1090 (B) s. 1160 (C) s. 1190 (D) s. 1260 (E) s. 1204<|im_end|>
<|im_start|>assistant
<think>
</think>
since,c.p=1400
loss%=(c.p-s.p)/c.p*100
10=(1400-s.p)/1400*100
so,after so... | 9,962 |
<|im_start|>user
A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Answer Choices: (A) s.1000 (B) s.1056 (C) s.1150 (D) s.1230 (E) s.1256<|im_end|>
<|im_start|>assistant
<thi... | 2,390 |
<|im_start|>user
If 102y = 25, then 10-y equals:
Answer Choices: (A) 3 (B) 2 (C) 6 (D) 9 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
102y = 25
(10y)2 = 52
10y = 5
1/10y = 1/5
10-y = 1/5
The answer is E<|endoftext|> | 77,526 |
<|im_start|>user
What simple sugar is the cell's primary source of energy?
Answer choice: (A) carbon (B) glucose (C) nicotine (D) chloride<|im_end|>
<|im_start|>assistant
<think>
</think>
Molecular formulas tell us how many atoms of each element are present in one molecule of a molecular compound. In many cases, the ... | 8,805 |
<|im_start|>user
Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investm... | 25,572 |
<|im_start|>user
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Answer Choices: (A) 17 hours (B) 95 hours (C) 14 hours (D) 19 hours (E) 18 hours<|im_end|>
<|... | 68,996 |
<|im_start|>user
Find the compound interest and the amount on Rs.6000 at 5% per annum for 3 years when C.I is reckoned yearly?
Answer Choices: (A) s.1261.75 (B) s.1440.75 (C) s.1185.75 (D) s.1346.75 (E) s.945.75<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 6000(21/20)3
= 6945.75
= 6000
---------
945.75
The an... | 94,967 |
<|im_start|>user
Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
Answer Choices: (A) 47.5 (B) 47.9 (C) 47.6 (D) 47.2 (E) 47.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand ha... | 58,300 |
<|im_start|>user
There are 2 red chips and 3 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Answer Choices: (A) A) 10 (B) B) 12 (C) C) 24 (D) D) 60 (E) E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Using anagram method:
5_4_3_2_1
R_R_R_B_B
s... | 36,179 |
<|im_start|>user
What is the reproductive part of the plant?
Answer choice: (A) the leaf (B) the stem (C) the core (D) the flower<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 2,664 |
<|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... | 6,192 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Complete the sentence.
The First Amendment says that the government cannot take away a person's freedom of speech or ().
Answer Choices: (A) right to drive a car (B) voting rights (C) freedom of religion<|im_end|... | 3,351 |
<|im_start|>user
An Ant is climbing 30 meters tall pole. It climbs 3 meter during the day and slips down 2 meters down during night in sleep, How many days it takes to reach the top of the pole?
Answer Choices: (A) A - 30 (B) B - 29 (C) C - 28 (D) D - 27 (E) E - 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Ant... | 82,216 |
<|im_start|>user
Find the value of (875 233/899) × 899
Answer Choices: (A) 786600 (B) 786658 (C) 786679 (D) 786858 (E) 786890<|im_end|>
<|im_start|>assistant
<think>
</think>
(875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
D)
The answer is D<|endoftext|> | 4,157 |
<|im_start|>user
An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price?
Answer Choices: (A) 25% (B) 20% (C) 35% (D) 40% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the original S.P. be $x
Then, New S.P. = $ 2/3 x
Loss = 10%
C.... | 25,912 |
<|im_start|>user
Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4
Answer Choices: (A) 1 (B) 7. (C) 2. (D) 3 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4.
Given the obscene number, y... | 34,478 |
<|im_start|>user
What is the greatest of 3 consecutive integers whose sum is 39?
Answer Choices: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
39 / 3 = 13
The three numbers are 12, 13, and 14.
The answer is A<|endoftext|> | 58,540 |
<|im_start|>user
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Answer Choices: (A) 12 (B) 14 (C) 27 (D) 53 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.
The a... | 84,126 |
<|im_start|>user
A person crosses a 1080 m long street in 10 minutes. What is his speed in km per hour?
Answer Choices: (A) 4.1 (B) 6.4 (C) 4.8 (D) 5.4 (E) 5.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 1080/(10x60) m/sec
= 1.8 m/sec.
Converting m/sec to km/hr =1.8 x(18/5) km/hr
= 6.4 km/hr.
The answer ... | 41,839 |
<|im_start|>user
How many possible integer values are there for x if |6x - 3| < 6 ?
Answer Choices: (A) One (B) Two (C) Three (D) Four (E) Five<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: |6x-3| < 6
let 6x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the righ... | 23,086 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Answer Choices: (A) 22 (B) 40 (C) 38 (D) 21 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the present ages... | 19,196 |
<|im_start|>user
What kind of muscle is responsible for making the human heart beat?
Answer choice: (A) cardiac muscle (B) deltoid (C) teres minor (D) respiratory muscle<|im_end|>
<|im_start|>assistant
<think>
</think>
Muscle tissue consists of cells that can contract, or shorten. Examples include skeletal muscle, wh... | 4,335 |
<|im_start|>user
An infection of the brain is called?
Answer choice: (A) encephalitis (B) tuberculosis (C) influenza (D) syphilis<|im_end|>
<|im_start|>assistant
<think>
</think>
Bacteria and viruses can infect the brain or spinal cord. An infection of the brain is called encephalitis. An infection of the membranes t... | 5,590 |
<|im_start|>user
What organ participates in all digestive activities except ingestion and defecation?
Answer choice: (A) stomach (B) small intestine (C) tongue (D) large intestine<|im_end|>
<|im_start|>assistant
<think>
</think>
23.4 The Stomach The stomach participates in all digestive activities except ingestion an... | 4,175 |
<|im_start|>user
Each of the three people individually can complete a certain job in 4, 5, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Answer Choices: (A) 9/20 (B) 11/20 (C) 11/32 (D) 13/40 (E) 17/40<|im_end|... | 31,694 |
<|im_start|>user
(ab)x−2=(ba)x−7. What is the value of x ?
Answer Choices: (A) 1.5 (B) 4.5 (C) 7.5 (D) 9.5 (E) 8.7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(a/b)x−2=(b/a)x−7⇒(a/b)x−2=(a/b)−(x−7)⇒x−2=−(x−7)⇒x−2=−x+7⇒x−2=−x+7⇒2x=9⇒x=92=4.5
Option B
The answer is B<|endoftext|> | 10,846 |
<|im_start|>user
A box measuring 35 inches long by 20 inches wide by 10 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Answer Choices: (A) 17 (B) 18 (C) 54 (D) 56 (E) 864<|im_end|>
<|im_start|>assistant... | 43,819 |
<|im_start|>user
A jogger running at 9 km/hr along side a railway track is 290 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 67 sec (B) 89 sec (C) 36 sec (D) 87 sec (E) 41 sec<|im_end|>
<|im_start|>assistant
<t... | 65,116 |
<|im_start|>user
What is the difference between the C.I. on Rs. 7000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Answer Choices: (A) s.2.04 (B) s.2.08 (C) s.2.02 (D) s.2.86 (E) s.2.42<|im_end|>
<|im_start|>assistant
<think>
</think>
C.I. when interest is compounded yearly
= [7000 * (1 + 4/100) ... | 10,083 |
<|im_start|>user
In the Lakeside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Answer Choices: (A) 50. (B) 45. ... | 30,490 |
<|im_start|>user
Look at this series: 97, 97, 97, 81, 81, 81, 65, 65, 65 ... What number should come next?
Answer Choices: (A) 45 (B) 33 (C) 43 (D) 38 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
In this series, each number is repeated, then 16 is subtracted to arrive at the next number.
The a... | 18,387 |
<|im_start|>user
In how many different number of ways 8 boys and 3 girls can sit on a shopa which can accommodate 4 persons?
Answer Choices: (A) 7900 (B) 7800 (C) 5200 (D) 6400 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'E'
11p4= 11x10x9x8 = 7920
The answer is E<|endoftext|> | 3,845 |
<|im_start|>user
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
Answer Choices: (A) 1 (B) 8 (C) 7 (D) 6 (E) 2<|im... | 81,600 |
<|im_start|>user
In a zoo there are 30 penguins, 22 zebras, and 8 tigers with some zookeepers. If the total number of heads are 132 less than the number of feet, the number of zookeepers is
Answer Choices: (A) 12 (B) 14 (C) 16 (D) 18 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: Let number of z... | 56,979 |
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