text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Calculate Renee's average score in an exam if she obtained the following marks 71, 57, 61, 80 and 88 out of 100 in different subjects.
Answer Choices: (A) 71.9 (B) 73.4 (C) 72.4 (D) 71.4 (E) 70.4<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(71+57+61+80+88)/5=71.4
The answer is D<|en... | 35,812 |
<|im_start|>user
What is the remainder of E=3^19 when divided by 10?
Answer Choices: (A) 0 (B) 1 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
I looked for patterns:
^2 - units digit 9
^3 - units digit 7
^4 - units digit 1
^5 - units digit 3
hence, we can see that when raised to a power which is ... | 56,803 |
<|im_start|>user
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_s... | 2,195 |
<|im_start|>user
A certain auto manufacturer sold 8% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Answer Choices: (A) 63,000 (B) 1,930,000 (C) 2,030,000 (D) 2,040,000 (E) 2,300,000<|im_end|>
<|im_... | 25,714 |
<|im_start|>user
There are 5,290 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?
Answer Choices: (A) 5,280 - 12 (B) 5,280/12 (C) 12(5,280) (D) 12^2(5,280) (E) 12*5,290<|im_end|>
<|im_start|>assistant
<think>
</think>
1 feet = 12 inches
1 mile = 5290 feet
1 mile = 5290*12 inches
The answer i... | 48,923 |
<|im_start|>user
What is the unit digit in 7^105
Answer Choices: (A) 7 (B) 0 (C) 2 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Unit digit in 7^105 = Unit digit in [ (7^4)26 x 7 ]
But, unit digit in (7^4)26 = 1
Unit digit in 7105 = (1 x 7) = 7
A
The answer is A<|endoftext|> | 90,965 |
<|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 got?
Answer Choices: (A) 55% (B) 56% (C) 57% (D) 58% (E) 59%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of votes polled = (1136 ... | 41,025 |
<|im_start|>user
In a Government institute 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to ... | 81,724 |
<|im_start|>user
A circular logo is enlarged to fit the lid of a jar. The new diameter is 30 per cent larger than the original. By what percentage has the area of the logo increased?
Answer Choices: (A) 50 (B) 80 (C) 69 (D) 125 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
Let old diameter be 4 , so radius... | 49,276 |
<|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) 3 (B) 1 (C) 8 (D) 9 (E) 5<|im... | 965 |
<|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.
When you are using customary units, length may be written with units of inches, feet, yards, or m... | 3,187 |
<|im_start|>user
Ravi, Gagan and Nitin are running a business firm in partnership. What is Gagan’s share in the profit earned by them?
I.Ravi, Gagan and Nitin invested the amounts in the ratio of 2 : 4 : 7.
II.Nitin’s share in the profit is Rs. 8750.
Answer Choices: (A) I alone sufficient while II alone not sufficient ... | 42,097 |
<|im_start|>user
Fungi may form mutualistic relationships with plants, algae, cyanobacteria, and what?
Answer choice: (A) animals (B) plants (C) farmers (D) eggs<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 64 |
<|im_start|>user
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 4a = 2b = c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Answer Cho... | 11,837 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their o... | 3,692 |
<|im_start|>user
The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
Answer Choices: (A) 165 (B) 185 (C) 190 (D) 198 (E) 199<|im_end|>
<|im_start|>assistant
<think>
</think>
185
The answer is B<|endoftext|> | 17,178 |
<|im_start|>user
How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Answer Choices: (A) 48 (B) 36 (C) 26 (D) 11 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Here distance d = 800 mts
s... | 3,087 |
<|im_start|>user
The average of a couple was 28Yrs when they were married 5Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 23Yrs now. How old is the
child now ?
Answer Choices: (A) 2 Yrs (B) 4 Yrs (C) 3 Yrs (D) 1 Yrs (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>... | 6,652 |
<|im_start|>user
What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
Answer Choices: (A) 9600 (B) 9800 (C) 9700 (D) 9620 (E) 9670<|im_end|>
<|im_start|>assistant
<think>
</think>
Greatest number of four digits = 9999
LCM of 15, 25, 40 and 75 = 600
9999 ÷ 600 = 16, remainder = 399
Hen... | 73,250 |
<|im_start|>user
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Answer Choices: (A) 1666 (B) 2688 (C) 1198 (D) 1000 (E) 2321<|im_end|>
<|im_start|>assistant
<think>
</think>
(x*5*1)/100 + [(... | 33,956 |
<|im_start|>user
What is the multi-phase process in which the nucleus of a eukaryotic cell divides?
Answer choice: (A) fission (B) Osmosis (C) cytokinesis (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Mitosis in the Eukaryotic Cell Cycle. Mitosis is the multi-phase process in which the nucleus of a euk... | 7,652 |
<|im_start|>user
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Answer ... | 79,929 |
<|im_start|>user
Which of the following is a divisible by 3 number ?
Answer Choices: (A) 10000 (B) 20000 (C) 30000 (D) 40000 (E) 50000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
C is divisible by 3 with out integers.
The answer is C<|endoftext|> | 93,488 |
<|im_start|>user
3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Answer Choices: (A) 20 days (B) 30 days (C) 40 days (D) 50 days (E) 60 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Work d... | 49,776 |
<|im_start|>user
An unbiased die is tossed. Find the probability of getting a multiple of 6
Answer Choices: (A) A) 1/6 (B) B) 2/5 (C) C) 1/4 (D) D) 2/3 (E) E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Here S = {1,2,3,4,5,6}
E = event of getting a multiple of 3
E = {6}
P(E) = 1/6
The answer is A<|endoftext|... | 33,355 |
<|im_start|>user
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 16 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Answer Choices: (A) 6 (B) 16 (C) 22 (D) 30 (E) 17... | 33,311 |
<|im_start|>user
Where do most amphibians live, salt water or fresh water?
Answer choice: (A) aquariums (B) deserts (C) fresh water (D) saltwater<|im_end|>
<|im_start|>assistant
<think>
</think>
Most amphibians live in fresh water, not salt water. Their habitats can include areas close to springs, streams, rivers, la... | 3,422 |
<|im_start|>user
A woman has $252,125 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her nine children?
Answer Choices: (A) $1 (B) $2 (C) $3 (D) $4 (E) $11<|im_end|>
<|im_start|>assistant
<think>
</th... | 19,372 |
<|im_start|>user
The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 f... | 33,859 |
<|im_start|>user
A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $3 Frisbees that could have been sold?
Answer Choices: (A) 24 (B) 12 (C) 8 (D) 52 (E) 2<|im_end|>
<|im_start|>assistant
<thin... | 11,096 |
<|im_start|>user
A bag contains 9 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Answer Choices: (A) 1/4 (B) 2/9 (C) 3/11 (D) 4/19 (E... | 72,332 |
<|im_start|>user
K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the... | 45,794 |
<|im_start|>user
Income and expenditure of a person are in the ratio 7 : 6. If the income of the person is Rs. 14000, then find his savings?
Answer Choices: (A) 500 (B) 1000 (C) 1500 (D) 2000 (E) 2500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs. 7x and Rs. 6... | 9,203 |
<|im_start|>user
Two brothers took the GMAT exam, the higher score is U and the lower one is V. If the difference between the two scores is equal to their average, what is the value of V/U ?
Answer Choices: (A) 3 (B) 2 (C) 1/2 (D) 1/3 (E) There isn't enough data to answer the question.<|im_end|>
<|im_start|>assistant
<... | 73,303 |
<|im_start|>user
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices?
Answer Choices: (A) 234 (B) 243 (C) 273 (D) 284 (E) 325<|im_end|>
<|im_... | 5,417 |
<|im_start|>user
If the sum of 5 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 5
Answer Choices: (A) I only (B) II only (C) III only (D) I and III (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I. If you start off... | 14,142 |
<|im_start|>user
The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is
Answer Choices: (A) 11 (B) 12 (C) 9 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
... | 83,811 |
<|im_start|>user
A began business with 12000 and is joined afterwards by B with 72000. When did B join, if the profits at the end of the year are divided equally?
Answer Choices: (A) 8 months (B) 9 months (C) 10 months (D) 7 months (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let B join after x ... | 22,213 |
<|im_start|>user
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Answer Choices: (A) 288 (B) 266 (C) 155 (D) 100 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
A can give B (5 min - 4... | 23,347 |
<|im_start|>user
What is the difference between the largest number and the least number written with the digits 9, 3, 1, 2?
Answer Choices: (A) 6084 (B) 3788 (C) 2077 (D) 8082 (E) 1812<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
1239
9321
------------
8082
The answer is D<|endoftext|> | 89,984 |
<|im_start|>user
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 250 items for $150 each, what will her monthly salary be?
Answer Choices: (A) $1,500 (B) $1,800 (C) $3,250 (D) $2,500 (E) $2,800<|im_en... | 48,760 |
<|im_start|>user
What is the sum of all four digit integers formed using the digits 3 ,4 ,5 and 6 (repetition is allowed)
Answer Choices: (A) 1279874 (B) 1279872 (C) 1279875 (D) 1279876 (E) 1279870<|im_end|>
<|im_start|>assistant
<think>
</think>
n = 4 * 4 * 4 * 4 = 256
<x> = (6666 + 3333) / 2 = 4999.5
Sum = number o... | 23,222 |
<|im_start|>user
If the units digit of n^39 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Answer Choices: (A) Only II (B) Only I (C) Only III (D) I and II (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I tried in this way.
Given n^39 units digit is 7.
If at al... | 9,827 |
<|im_start|>user
A composer’s guild is planning its spring concert, and twelve pieces have been submitted for consideration. The director of the guild knows that they will only have time to present eight of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Answer Choices: (A)... | 26,092 |
<|im_start|>user
The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Answer Choices: (A) 20 (B) 30 (C) 38 (D) 90 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 ... | 11,693 |
<|im_start|>user
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 5 sec (B) 8 sec (C) 3 sec (D) 4 sec (E) 6 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
E
6 sec
T = 60/36 * 18/5 = 6 sec
The answer is E<|endoftext|> | 38,421 |
<|im_start|>user
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Answer Choices: (A) 299 (B) 266 (C) 299 (D) 750 (E) 261<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [90 * 5/18] m... | 96,577 |
<|im_start|>user
A beekeeper has 1200,000 bees living in 13 beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could ... | 95,927 |
<|im_start|>user
A man buys Rs. 48 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Answer Choices: (A) s. 12 (B) s. 15 (C) s. 18 (D) s. 21 (E) s. 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Dividend on Rs. 48 = Rs. 9/100 x 48 =Rs. 4.32 .
Rs.... | 78,562 |
<|im_start|>user
71
a3
+1b
___
98
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Answer Choices: (A) 25 (B) 54 (C) 43 (D) 45 (E) 04<|im_end|>
<|im_start|>assistant
<think>
</think>
1+3+b=8
b=4
7+a+1=8
a=0
ab=04
The answer is E<|end... | 49,689 |
<|im_start|>user
If the price of an article decreases by 111/9 % and the sale of the article increases by 12 ½ %, what is the net effect on revenue?
Answer Choices: (A) 1% loss (B) 1% gain (C) No loss or no gain (D) Cannot be determined (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
M. F 1 = 100-1... | 45,050 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved true by research or observation.
George Washington became president of the United States in 1789.
This statement is a fact. It can be proved by researching what year George Washington w... | 3,349 |
<|im_start|>user
In how many ways Chief Minister and Minister be elected from a team of 6 members?
Answer Choices: (A) 28 (B) 20 (C) 36 (D) 30 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
To do this, if captain is elected first, then we have 6 ways of doing this.
For election of vice-captain, we have only ... | 38,333 |
<|im_start|>user
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car an... | 12,234 |
<|im_start|>user
What rod provides stiffness to counterbalance the pull of muscles?
Answer choice: (A) vertebrae (B) notochord (C) spinal cord (D) mesoderm<|im_end|>
<|im_start|>assistant
<think>
</think>
The notochord lies between the dorsal nerve cord and the digestive tract. It provides stiffness to counterbalance... | 1,924 |
<|im_start|>user
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer Choices: (A) 22 sec (B) 27 sec (C) 25 sec (D) 24 sec (E) 11 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T ... | 51,162 |
<|im_start|>user
In the coordinate plane, points (x, 5) and (7, y) are on line k. If line k passes through the origin and has slope 5/7, then x + y =
Answer Choices: (A) 13 (B) 14 (C) 9 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Line k passes through the origin and has slope 5/7 means that its equ... | 36,159 |
<|im_start|>user
What Is The Next Number
12 13 15 17 111 113 117 119 ?
Answer Choices: (A) 123 (B) 220 (C) 129 (D) 428 (E) 224<|im_end|>
<|im_start|>assistant
<think>
</think>
123.
These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1
The answer is A<|endoftext|> | 8,914 |
<|im_start|>user
What forms after air cools below its dew point?
Answer choice: (A) sleet (B) smoke (C) plasma (D) fog<|im_end|>
<|im_start|>assistant
<think>
</think>
Advection fog is famous in San Francisco, California. Warm, moist air comes in from the Pacific Ocean. The air blows over the cold California current.... | 7,934 |
<|im_start|>user
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/4 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Answer Choices: (A) 30 (B) 60 (C) 108 (D) 144 (E... | 15,072 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 4,302 |
<|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) 100 m (B) 125 m (C) 130 m (D) 150 m (E) 170 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 =... | 7,500 |
<|im_start|>user
Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
Answer Choices: (A) IX (B) XXIII (C) XV (D) XVII (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: This is a simple addition series; each number is 3 more than the previous number.
The answer is... | 5,001 |
<|im_start|>user
If the volume of the cube is 729 cm3, then the surface area of the cube will be
Answer Choices: (A) 486 sq.cm (B) 456 sq.cm (C) 446 sq.cm (D) 476 sq.cm (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
a3=729; a=9
surface area= (6 x 9 x 9) = 486 cm2
The answer is A<|endo... | 57,019 |
<|im_start|>user
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 28 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Answer Choices: (A) 70 (B) 245 (C) 150 (D) 200 (E) 350<|im_end|>
<|im_start... | 85,264 |
<|im_start|>user
Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
Answer Choices: (A) 85 (B) 97 (C) 109 (D) 178 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer: Option D
This is an alternating division and addition series: First, divide by 2, and then add 8.
Th... | 57,714 |
<|im_start|>user
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.
Answer Choices: (A) 16kmph (B) 20kmph (C) 25kmph (D) 30kmph (E) 35kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8... | 54,709 |
<|im_start|>user
During the past week, a local fish market tested N fish for two infections. If 1/10 of those tested had infection A and, of those with infection A, 1/5 also had infection B, how many fish did not have both infection A and B?
Answer Choices: (A) N/15 (B) 4N/15 (C) 14N/15 (D) N/5 (E) 49N/50<|im_end|>
<|i... | 93,669 |
<|im_start|>user
A certain set of test scores has an average (arithmetic mean) of 70 and a standard deviation of 25. If m and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the average of m and n?
Answer Choices: (A) 10 (B) 14 (C) 17 (D) 19 (E) 21... | 47,207 |
<|im_start|>user
In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.
Answer Choices: (A) 2:3 (B) 4:5 (C) 16:9 (D) 7:9 (E) 8:5<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. Let the bases of the two triangles be x and y and their heights be 3... | 45,925 |
<|im_start|>user
In 10 years, A will be twice as old as B was 10 years ago. If A is now 7 years older than B the present age of B is
Answer Choices: (A) 37 (B) 38 (C) 39 (D) 40 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
let present age of A be a and B be b
a+10 = 2*(b-10)
=> 2b-a = 30 ......(i)
a = b+7
=... | 42,106 |
<|im_start|>user
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Answer Choices: (A) 873 (B) 838 (C) 960 (D) 838 (E) 939<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
60(x + 1) = 6... | 79,329 |
<|im_start|>user
In a hostel, the number of students decreased by 9% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that ... | 52,552 |
<|im_start|>user
The scientific practice of classifying organisms is also known as what?
Answer choice: (A) taxodermy (B) terminology (C) methodology (D) taxonomy<|im_end|>
<|im_start|>assistant
<think>
</think>
22 Classification of Living Things 22.0.1 Classification of Living Things & Naming With so many flora and ... | 5,295 |
<|im_start|>user
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
Answer Choices: (A) 2.75 (B) 5.95 (C) 7.95 (D) 3.25 (E) 4.95<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream... | 80,640 |
<|im_start|>user
Find the invalid no.from the following series 3, 7, 15, 31, 63, 123, 255
Answer Choices: (A) 3 (B) 7 (C) 27 (D) 63 (E) 123<|im_end|>
<|im_start|>assistant
<think>
</think>
Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 123 is wrong.
E
The answer is E<|endoftext|> | 93,353 |
<|im_start|>user
A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 45% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Answer Choices: (... | 85,359 |
<|im_start|>user
Find the value(s) of k for which there is no solution for the given set of equations.
2x - ky = -3 and 3x + 2y = 1
Answer Choices: (A) 4/9 (B) 2/9 (C) 2/1 (D) 4/3 (E) 2/5<|im_end|>
<|im_start|>assistant
<think>
</think>
3x + 2y = 1
If there are no set of solutions, then 2−k=322−k=32 or k = −43−43
For... | 54,891 |
<|im_start|>user
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Answer Choices: (A) A) Rs.6,602.50 (B) B) Rs.6,601.50 (C) C) Rs.6,603.50 (D) D) Rs.6,604.50 (E) E) Rs.6,605.50<|im_end|>
<|im_... | 87,079 |
<|im_start|>user
Find a sum for first 5 prime number'ss?
Answer Choices: (A) 22 (B) 28 (C) 29 (D) 32 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
Required sum = (2 + 3 + 5 + 7 + 11) = 28
Note: 1 is not a prime number
Option B
The answer is B<|endoftext|> | 59,907 |
<|im_start|>user
Experiments show that each o2 molecule has two unpaired what?
Answer choice: (A) electrons (B) quarks (C) protons (D) neutrons<|im_end|>
<|im_start|>assistant
<think>
</think>
Experiments show that each O2 molecule has two unpaired electrons. The Lewis-structure model does not predict the presence of... | 2,886 |
<|im_start|>user
Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 26 have long fur, 30 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Answer Choices: (A) 26 (B) 19 (C) 11 (D) 8 ... | 78,061 |
<|im_start|>user
The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Answer Choices: (A) 280 (B) 290 (C) 342 (D) 250 (E) 253<|im_end|>
<|im_start|>assistant
<think>
</think>
400*(90/100)*(95/100) = 342
C
The answer is C<|endoftext|> | 49,921 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
When was Harriet Tubman born?
Answer Choices: (A) the 1820s (B) the 1610s (C) the 1910s (D) the 1490s<|im_end|>
<|im_start|>assistant
<think>
</think>
Harriet Tubman was born in the 1820 s. She was born about 4... | 4,192 |
<|im_start|>user
If there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?
Answer Choices: (A) 3⁄20 (B) 31⁄60 (C) 9⁄40 (D) 1⁄3 (E) 11⁄20<|im_end|>
<|im_start|>assistant
<think>
</think>
Con... | 46,126 |
<|im_start|>user
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.3200, what will be the difference between Q and R's share?
Answer Choices: (A) 2788 (B) 4000 (C) 7282 (D) 2782 (E) 2729<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 60,351 |
<|im_start|>user
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Answer Choices: (A) 1/2 (B) 1/3 (C) 1/5 (D) 1/7 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let b stand for boy and g for girl. The sample space of the experiment ... | 21,932 |
<|im_start|>user
What happens when the blood cannot reach the heart because a blood vessel is blocked?
Answer choice: (A) fast heart beat (B) heart attack (C) heart burn (D) pass out<|im_end|>
<|im_start|>assistant
<think>
</think>
A heart attack happens when the blood cannot reach the heart because a blood vessel is... | 9,423 |
<|im_start|>user
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Answer Choices: (A) 10% ... | 4,296 |
<|im_start|>user
The distance between Delhi and Mathura is 215 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Answer Choices: (A) 10.50 a.m. (B) 00.20 p.m. (C) 10.30 a.m. (D) 11.40 a.m. (E) 1.40 p.m.<|im... | 15,922 |
<|im_start|>user
In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?
Answer Choices: (A) 100 (B) 144 (C) 155 (D) 180 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
The 4 boys can be seated around a table in 3! Ways. In between them there are 4 places.
The... | 3,929 |
<|im_start|>user
The hardest natural substance, diamond is a form of what element?
Answer choice: (A) zirconium (B) carbon (C) zenon (D) hydrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
Diamond is a form of carbon in which each carbon atom is covalently bonded to four other carbon atoms. This forms a strong,... | 6,483 |
<|im_start|>user
If the sum of a number and its square is 20, what is the number?
Answer Choices: (A) 15 (B) 26 (C) 28 (D) 4 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
x + x2 = 20
(x + 5)(x - 4) = 0
x = 4
The answer is D<|endoftext|> | 46,259 |
<|im_start|>user
6 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Answer Choices: (A) 19 (B) 20 (C) 30 (D) 33 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
Though 2*(6C2) is the correct approcah to do this, but for people like m... | 34,376 |
<|im_start|>user
The sum of money will be thrice itself in 15 years and simple interest find rate of interest?
Answer Choices: (A) A) 12.33% (B) B) 13.33% (C) C) 14.33% (D) D) 15.33% (E) E) 16.33%<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 15 years
P= principle amount = x
A = total amount = 3x
SI = simple i... | 24,299 |
<|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) 5 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
If he draws... | 818 |
<|im_start|>user
Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ?
Answer Choices: (A) 25 (B) 43 (C) 14 (D) 36 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 79,419 |
<|im_start|>user
164 pencils are distributed to children with the same number. What can’t be the range including the number of children?
Answer Choices: (A) 1~10 (B) 10~20 (C) 50~60 (D) 20~30 (E) 70~80<|im_end|>
<|im_start|>assistant
<think>
</think>
In 164=1*164=2*82=4*41=6*24, you can come up with 4 cases. Amongst ... | 14,936 |
<|im_start|>user
A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.2250 less than the sum lent. What was the sum lent?
Answer Choices: (A) 1050 (B) 1220 (C) 1250 (D) 1060 (E) 3000<|im_end|>
<|im_start|>assistant
<think>
</think>
P - 2250 = (P*5*5)/1... | 48,395 |
<|im_start|>user
If k = 2n - 1, where n is an integer, what is the remainder of k^2/8?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) Cannot be determined from the information given.<|im_end|>
<|im_start|>assistant
<think>
</think>
Let us assume that k = 4(n)(n-1)
This is divisible by 8.
So k+1 when divided by 8 will gi... | 4,730 |
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