text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
What is the least number of digits (including repetitions) needed to express 10^600 in decimal notation?
Answer Choices: (A) a) 4 (B) b) 601 (C) c) 101 (D) d) 1000 (E) e) 1001<|im_end|>
<|im_start|>assistant
<think>
</think>
10^n is a decimal number with a 1 followed by n zeros.
So 10^600 will i... | 40,250 |
<|im_start|>user
A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Answer Choices: (A) 7580 (B) 12960 (C) 829... | 61,355 |
<|im_start|>user
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for exa... | 40,495 |
<|im_start|>user
What is the sum of all the composite numbers up to 20?
Answer Choices: (A) 130 (B) 132 (C) 124 (D) 145 (E) 166<|im_end|>
<|im_start|>assistant
<think>
</think>
4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132
The answer is B<|endoftext|> | 54,768 |
<|im_start|>user
What is the lowest positive integer that is divisible by each of the odd integers between 17 and 23, inclusive?
Answer Choices: (A) 3×17×19×21 (B) 5×17×19×23 (C) 23*21*17*19 (D) 7×15×19×21 (E) 15×17×19×21<|im_end|>
<|im_start|>assistant
<think>
</think>
We should find the LCM of 17, 19, 23 and 21 = 3... | 55,733 |
<|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... | 471 |
<|im_start|>user
Of the families in City X in 2000, 30 percent owned a personal computer. The number of families in City X owning a computer in 2004 was 20 percent greater than it was in 1994, and the total number of families in City X was 10 percent greater in 2004 than it was in 2000. what percent of the families in ... | 84,212 |
<|im_start|>user
What is the name for the term that describes deep ocean water rising the surface?
Answer choice: (A) percolating (B) leaking (C) up-rising (D) upwelling<|im_end|>
<|im_start|>assistant
<think>
</think>
Sometimes deep ocean water rises to the surface. This is called upwelling . Figure below shows why ... | 7,286 |
<|im_start|>user
A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time will be able to cover 8 km upstream?
Answer Choices: (A) 6 hr (B) 2 hr (C) 4 hr (D) 1 hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Speed downstream = 96⁄8 ... | 27,878 |
<|im_start|>user
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 1.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account wh... | 63,021 |
<|im_start|>user
One hour after Sid started walking the 60 miles from X to Y, James started walking from X to Y as well. Sid walks 3 miles per hour and James walks 1 mile per hour faster than Sid . How far from X will James be when he catches up to Sid ?
Answer Choices: (A) 8 miles (B) 9 miles (C) 12 miles (D) 11 miles... | 50,598 |
<|im_start|>user
Find the odd man out
2, 5, 14, 41, 122, 365, 1125
Answer Choices: (A) 2 (B) 14 (C) 41 (D) 365 (E) 1125<|im_end|>
<|im_start|>assistant
<think>
</think>
1*3-1 = 2
2*3-1 = 5
5*3-1 = 14
14*3-1 = 41
41*3-1 = 122
122*3-1= 365
365*3-1= 1094
The answer is E<|endoftext|> | 23,672 |
<|im_start|>user
What type of tissue transports water, nutrients, and food in plants?
Answer choice: (A) rough tissue (B) vascular tissue (C) normal tissue (D) smooth tissue<|im_end|>
<|im_start|>assistant
<think>
</think>
A later adaption for life on land was the evolution of vascular tissue. Vascular tissue is spec... | 9,309 |
<|im_start|>user
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Answer Choices: (A) 1.8 lakh (B) 1... | 22,881 |
<|im_start|>user
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance double... | 23,037 |
<|im_start|>user
A certain industrial loom weaves 0.132 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
Answer Choices: (A) 114 (B) 115 (C) 116 (D) 117 (E) 118<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number of seconds be x
M... | 28,484 |
<|im_start|>user
If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2000 less than the principal. What was the principal?
Answer Choices: (A) 1500 (B) 2500 (C) 2507 (D) 3200 (E) 11500<|im_end|>
<|im_start|>assistant
<think>
</think>
P - 2000 = (P*5*4)/100
P = 2500
The answer is B<|endofte... | 5,805 |
<|im_start|>user
John makes $50 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
Answer Choices: (A) 15% (B) 16.66% (C) 50% (D) 19% (E) 21%<|im_end|>
<|im_start|>assistant
<think>
</think>
Increase = (25/50)*100 = (1/2)*100 = 50%.
C
The answer is C<|endoftext|> | 33,839 |
<|im_start|>user
What physical property of matter reflects how closely packed the particles are?
Answer choice: (A) volume (B) strength (C) density (D) diameter<|im_end|>
<|im_start|>assistant
<think>
</think>
Density is an important physical property of matter. It reflects how closely packed the particles of matter ... | 3,131 |
<|im_start|>user
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 728 more than 4times the middle integer. Find the numbers?
Answer Choices: (A) 650 (B) 678 (C) 698 (D) 728 (E) 729<|im_end|>
<|im_start|>assistant
<think>
</think>
x + 4 (x + 4) = 728 + 4 (x + 2)
... | 43,102 |
<|im_start|>user
85% of a number is added to 24, the result is the same number. Find the number?
Answer Choices: (A) 277 (B) 267 (C) 222 (D) 160 (E) 123<|im_end|>
<|im_start|>assistant
<think>
</think>
(85/100) * X + 24 = X
3X = 480
X = 160
The answer is D<|endoftext|> | 50,625 |
<|im_start|>user
If x,y ,and z are positive real numbers such that x+y-z =100 , y-z+x =120 , and z-x+y = 50, then find the x+y+z value?
Answer Choices: (A) 100 (B) 120 (C) 150 (D) 200 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y-z =100, ------1)
y-z+x =120 , ------2)
z-x+y = 50------3)
from (1)&(2)
2z... | 20,911 |
<|im_start|>user
A bakery currently has 4 pies and 7 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Answer Choices: (A) 1/5 (B) 2/7 (C) 3/7 (D) 1/11 (E... | 9,267 |
<|im_start|>user
If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?
Answer Choices: (A) 120 cm2 (B) 112 cm2 (C) 144 cm2 (D) 666 cm2 (E) 886 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of ... | 6,198 |
<|im_start|>user
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 28150. What percentage of profit did he make?
Answer Choices: (A) 22 (B) 27 (C) 40 (D) 26.5 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
The total CP = Rs. 16000 + Rs. 6250 = Rs... | 88,551 |
<|im_start|>user
Single bonds allow the atoms they join to rotate freely about the what?
Answer choice: (A) nucleus (B) bond axis (C) electron shell (D) atomic orbit<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 1,101 |
<|im_start|>user
Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
Answer Choices... | 85,547 |
<|im_start|>user
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 60 ?
Answer Choices: (A) 170 (B) 128 (C) 173 (D) 129 (E) 136<|im_end|>
<|im_start|>assistant
<think>
</think>
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other... | 60,594 |
<|im_start|>user
If the average of 5x and 8y is greater than 90, and x is twice y, what is the least integer value of x ?
Answer Choices: (A) 4 (B) 5 (C) 20 (D) 21 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
If y is greater than 110 percent of x, is y greater than 75?
(1)x>75x>75
(2) y−x=10y−x=10
Pls veri... | 84,757 |
<|im_start|>user
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was:
Answer Choices: (A) 10000 (B) 12000 (C) 14000 (D) 16000 (E) 18000<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Purchase Price =Rs[... | 61,759 |
<|im_start|>user
A set S = {x, -8, -7, -6, 6, 8, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?
Answer Choices: (A) 1 (B) 0 (C) 2 (D) -1 (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Median of the set = (-... | 33,766 |
<|im_start|>user
If t is a positive integer and 10^t – 74 in decimal notation has digits whose sum is 440, what is the value of t?
Answer Choices: (A) 40 (B) 44 (C) 45 (D) 46 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer E = 50
We have (10^t)-74, where the sum of the digits is 440.
100-74 = 26, so we... | 10,369 |
<|im_start|>user
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Answer Choices: (A) 568 (B) 484 (C) 456 (D) 258 (E) 125<|im_end|>
<|im_start|>assistant
<think>
</think>
4/5A=2/5B
A=(2/5*15/4)B
A=3/2B
A/B=3/2
B's share=Rs(1210*2/5)=484
The answer is B<|endoftex... | 5,769 |
<|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 metric units, length can be written with units of millimeters, centimeters, me... | 1,555 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Verbal irony involves saying one thing but implying something very different. People often use v... | 2,885 |
<|im_start|>user
Systemic veins return blood low in what to the right atrium?
Answer choice: (A) dioxide (B) nutrients (C) nitrogen (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
Overview of Systemic Veins Systemic veins return blood to the right atrium. Since the blood has already passed through the sys... | 10,541 |
<|im_start|>user
In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Answer Choices: (A) 3590/60^2 (B) 2410/60^2 (C) 2390/60^2 (D) 3586/60 (E) 60^2/3590... | 37,225 |
<|im_start|>user
What is the largest power of 3 contained in 200!
Answer Choices: (A) 88 (B) 48 (C) 66 (D) 97 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
In real basic terms, we're asked to find all of the '3s' in 200!
We can figure out that 200/3 = 66, so we know that there are at least 66 '3s' in 200! W... | 34,973 |
<|im_start|>user
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2 cms, How much did it rain on Wednesday?
Answer Choices: (A) 10.9 (B) 7 (C) 10.2 (D) 10.1 (E) 10.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the rai... | 79,351 |
<|im_start|>user
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 6-cent stamps she could have bought ?
Answer Choices: (A) 5 (B) 10 (C) 15 (D) 20 (E) ... | 52,302 |
<|im_start|>user
man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Answer Choices: (A) 14years (B) 26 years (C) 17 years (D) 18 years (E) 22 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x years. Then, man's... | 64,968 |
<|im_start|>user
Fertilized mollusk eggs develop into what?
Answer choice: (A) shrimp (B) larvae (C) bark (D) leaf<|im_end|>
<|im_start|>assistant
<think>
</think>
Mollusks reproduce sexually. Most species have separate male and female sexes. Fertilization may be internal or external, depending on the species. Fertil... | 2,855 |
<|im_start|>user
If x/y = 5/z, then 25z^2 =
Answer Choices: (A) x²y² (B) 25y²/ x² (C) 625x²y² (D) y²/ x² (E) 625y²/ x²<|im_end|>
<|im_start|>assistant
<think>
</think>
This question is most easily solved by isolating y in the equation and substituting into the expression 25z²:
x/y = 5/z
x = 5y/z
5y = xz
z = 5y/x.
If ... | 80,511 |
<|im_start|>user
A train passes a station platform in 30 sec and a man standing on the platform in 12 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answer Choices: (A) 227 (B) 240 (C) 200 (D) 178 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 54 * 5/18 = 15 m/sec.
L... | 23,657 |
<|im_start|>user
Kant and Jaya started a business by investing a certain amount, Jaya’s share is Rs.1400, out of annual profit of Rs.3800, then what is the ratio of investments of Kant and Jaya respectively ?
Answer Choices: (A) 3:4 (B) 18:21 (C) 12:7 (D) 6:11 (E) 4:3<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 33,290 |
<|im_start|>user
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new ... | 84,303 |
<|im_start|>user
Dhoni has x dollars more than Rahul has, and together they have a total of y dollars. Which of the following represents the number of dollars that Rahul has?
Answer Choices: (A) (y – x) /3 (B) (y – x) /2 (C) (y – x) /4 (D) (2y – x) /2 (E) (y – x) /5<|im_end|>
<|im_start|>assistant
<think>
</think>
To... | 92,916 |
<|im_start|>user
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Answer Choices: (A) 1/127 (B) 1/183 (C) 1/126 (D) 1/122 (E) 1/126<|im_end|>
<|im_start|>assistant
<think>
</think>
Out of nine, five are good and fou... | 79,646 |
<|im_start|>user
x is what percent of y percent of z, in terms of x, y and z?
Answer Choices: (A) 100xy/z (B) 100yz/x (C) 100yz/x (D) 10000x/yz (E) 10000yz/x<|im_end|>
<|im_start|>assistant
<think>
</think>
Soln:-
y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Sa... | 31,062 |
<|im_start|>user
If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
Answer Choices: (A) 141 (B) 200 (C) 412 (D) 391 (E) 612<|im_end|>
<|im_start|>assistant
<think>
</think>
The key to answering this question quickly is to realize that a+b+c is a multiple of BOT... | 76,281 |
<|im_start|>user
What helps cells take up glucose from the blood?
Answer choice: (A) oxygen (B) hemoglobin (C) estrogen (D) insulin<|im_end|>
<|im_start|>assistant
<think>
</think>
Insulin was the first human protein to be produced in this way. Insulin helps cells take up glucose from the blood. People with type 1 di... | 7,090 |
<|im_start|>user
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [5]*[6] equivalent to?
Answer Choices: (A) [45] (B) [30] (C) [15] (D) [5] (E) [50]<|im_end|>
<|im_start|>assistant
<think>
</think>
[5]*[6] = 15*3 = 45 = [15]
The answer is C<|endoftext|> | 39,312 |
<|im_start|>user
Find the number which when increased by 11 is equal to 60 times the reciprocal of the number
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x.
A positive number (x) increased by 11 is equal to 60 times the reciprocal of the number (1/x... | 8,885 |
<|im_start|>user
The value of (34.31*0.473*1.5)/(0.0673*23.25*7.57) is close to
Answer Choices: (A) 2 (B) 1.15 (C) 2.01 (D) 2.06 (E) 2.35<|im_end|>
<|im_start|>assistant
<think>
</think>
(34.31*0.473*1.5)/(0.0673*23.25*7.57) = 24.343/11.845
= 2.06
The answer is D<|endoftext|> | 13,592 |
<|im_start|>user
If f is a number such that –2 ≤ f ≤ 2, which of the following has the largest possible absolute value?
Answer Choices: (A) 3f – 1 (B) x^2 + 1 (C) 3 – x (D) x – 3 (E) x^2 – x<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 11,520 |
<|im_start|>user
Train A and Train B began traveling towards each other from opposite ends of a 480-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?
Answer Choices: (A) 5:40 PM (B) 6:00 PM (C) 7:20 PM (D) 9:00 PM (E) 9:20 P... | 10,884 |
<|im_start|>user
At the store, Sam bought a shirt and a toaster. There was a 4% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Answer Choices: (A) 0.96(K – T) (B) 0.96K – T (C) 0.96(K – 1.04T) ... | 95,379 |
<|im_start|>user
If n and k are integers whose product is 400, which of the following statements must be true?
Answer Choices: (A) n + k > 0 (B) n is not equal to k. (C) Either n or k is a multiple of 10. (D) If n is even, then k is odd. (E) If n is odd, then k is even.<|im_end|>
<|im_start|>assistant
<think>
</think>... | 90,954 |
<|im_start|>user
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Answer Choices: (A) 65 km/hr (B) 50 km/hr (C) 21 km/hr (D) 25 km/hr (E) 76 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 39,824 |
<|im_start|>user
A pump can fill a tank with a water in 2 hours. Because of a leak, it took 3 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
The rate of the pump + leak = 1/3
1/... | 93,239 |
<|im_start|>user
A, B and C enter in partnership. A invests some money at the beging, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs 39,000/-, C’s Share is:
Answer Choices: (A) Rs. 12655/- (B) Rs. 13,000/- (C) Rs. 9000/- (D) Rs. 10800/- (E) None of ... | 29,247 |
<|im_start|>user
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $800 per sq. metre.
Answer Choices: (A) $12500 (B) $13500 (C) $16500 (D) $14500 (E) $18500<|im_end|>
<|im_start|>assistant
<think>
</think>
C
$16500
Area =5.5×3.75 sq. metre.
Cost for 1 sq.... | 25,033 |
<|im_start|>user
In how many ways can the letters of the word "COMPUTER" be arranged?
Answer Choices: (A) 36480 (B) 40320 (C) 44290 (D) 48360 (E) 52810<|im_end|>
<|im_start|>assistant
<think>
</think>
The total ways of arranging the letters = 8! = 40320
The answer is B<|endoftext|> | 85,863 |
<|im_start|>user
A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Answer Choices: (A) 14 years (B) 18 years (C) 20 years (D) 22 years (E) 16 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the son's present age be x years. Then, ma... | 35,669 |
<|im_start|>user
A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets Q be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 ... | 70,284 |
<|im_start|>user
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Answer Choices: (A) 480 (B) 287 (C) 289 (D) 270 (E) 360<|im_end|>
<|im_start|>assistant
<think>
... | 2,362 |
<|im_start|>user
What type of animal eats both plants and animals?
Answer choice: (A) insectivores (B) omnivores (C) carnivores (D) herbivores<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 4,766 |
<|im_start|>user
In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was:
Answer Choices: (A) 8 (B) 7 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number of cows be x and their legs be 4x.
Let the number of chicken be y an... | 15,182 |
<|im_start|>user
A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 2/5 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the fir... | 79,545 |
<|im_start|>user
In what time will a train 250 metres long cross an electric pole, if its speed be 162 km/hr?
Answer Choices: (A) 4 sec (B) 5 sec (C) 5.55 sec (D) 6.55sec (E) 4.55 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed = (162 x 5 /18) m/sec
= 45 m / sec
Time taken = (250 /45) sec
= 5.55 s... | 77,214 |
<|im_start|>user
If 7 men and 2 boys working together, can do six times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Answer Choices: (A) 2:5 (B) 2:3 (C) 1:8 (D) 4:1 (E) 3:2<|im_end|>
<|im_start|>assistant
<think>
</think>
7M + 2B = 6(1... | 65,612 |
<|im_start|>user
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Answer Choices: (A) 3/7 (B) 4/7 (C) 6/7 (D) 7/11 (E) 8/11<|im_end|>
<|im_start|>as... | 57,742 |
<|im_start|>user
A train covers a distance of 36km in 12 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 300 m (B) 1000 m (C) 120 m (D) 200 m (E) 500 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (36/12 * 60) km/hr
= (180 * 5/18) m/sec
= 50 m/sec.
Le... | 91,176 |
<|im_start|>user
At what rate percent on simple interest will a sum of money double itself in 40 years?
Answer Choices: (A) 3 1/3% (B) 2 1/2% (C) 3 9/3% (D) 3 2/3% (E) 3 6/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*40*R)/100
R = 2 1/2%
The answer is B<|endoftext|> | 19,191 |
<|im_start|>user
A room of 6m 44cm long and 3m 00cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Answer Choices: (A) 12076 (B) 12070 (C) 12077 (D) 12075 (E) 12074<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
area of the room = 644 * 300sq ... | 26,175 |
<|im_start|>user
In how many no. between 10 and 50 exactly Two of the digits is 5?
Answer Choices: (A) 47 (B) 65 (C) 1 (D) 35 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
It's simple can be solved by elimination of answer choices.
Option B and D are too large, not possible. Even AE are large to have correc... | 8,326 |
<|im_start|>user
There are 5 bags three of which each contains 4 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a black ball has been drawn, find the chance that it came from first group.
Answer Choices: (A) 2/7 (B) 6/35 (C) 8/25 (D) 5/13 (E) 3/5<|im_end|>
<|im_start|>assistant
<t... | 65,596 |
<|im_start|>user
What is the term for a period when temperatures are cooler than normal causing glaciers to spread to lower latitudes?
Answer choice: (A) cooling era (B) cold age (C) ice age (D) freezing point<|im_end|>
<|im_start|>assistant
<think>
</think>
But ice ages also occurred many times in the past. An ice a... | 8,921 |
<|im_start|>user
The sum of the present age of Henry and Jill is 33. What is their present ages if 6 years ago Henry was twice the age of Jill?
Answer Choices: (A) and 20 (B) and 24 (C) and 22 (D) and 29 (E) of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the age of Jill 6 years ago be x, age of Henry b... | 20,753 |
<|im_start|>user
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Answer Choices: (A) 7 1/2 sec (B) 2 sec (C) 3 sec (D) 5 sec (E) 7 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
70 + 50... | 40,464 |
<|im_start|>user
How many arrangements of the letters of the word GUIDE can be made, without changing the place of the vowels in the word?
Answer Choices: (A) 4 (B) 6 (C) 2 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
U,I,E fixed. Consonants can be arrangements in 2p2 = 2! = 2 ways
Option 'C'
The answ... | 60,423 |
<|im_start|>user
Farm A had an average output of 350 kgs of wheat per acre. Farm B had an average output of 300 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
Answer Cho... | 34,905 |
<|im_start|>user
Plants generally transport carbohydrates from leaves to roots and other nonphotosynthetic organs in the form of what?
Answer choice: (A) glucose (B) potassium (C) sucrose (D) chloride<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 5,617 |
<|im_start|>user
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $55.0 billion from $69.0 billion, a year ago. By what percent did the revenue fall?
Answer... | 58,841 |
<|im_start|>user
The greatest number of four digits which is divisible by 21, 25, 40 and 75 is:
Answer Choices: (A) 9000 (B) 8400 (C) 9600 (D) 9800 (E) 9200<|im_end|>
<|im_start|>assistant
<think>
</think>
Greatest number of 4-digits is 9999.
L.C.M. of 21, 25, 40 and 75 is 4200.
On dividing 9999 by 4200, the remainde... | 68,271 |
<|im_start|>user
The ratio of the cost price and the selling price is 4:5. The profit percent is:
Answer Choices: (A) 233 (B) 37 (C) 25 (D) 27 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x
Gain = (5x - 4x) = Rs. x
Gain % = (x * 100)/ 4x = 25%.
The answer i... | 53,447 |
<|im_start|>user
In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Answer Choices: (A) 8^8 ways (B) 8^9 ways (C) 6^4 ways (D) 8^7 ways (E) 8^6 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 90,051 |
<|im_start|>user
Who wrote the book, on the origin of species?
Answer choice: (A) Scopes (B) darwin (C) Sagan (D) shaw<|im_end|>
<|im_start|>assistant
<think>
</think>
In his book On the Origin of Species , Darwin included a lot of evidence for evolution. Since then, much more evidence has accumulated. The evidence i... | 8,230 |
<|im_start|>user
In a game of 50 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 90 ?
Answer Choices: (A) can give C 1 points (B) can give C 4 points (C) can give C 2 points (D) can give C 6 points (E) can give C 20 points<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 65,058 |
<|im_start|>user
What are the two main divisions of the human nervous system?
Answer choice: (A) somatic and autonomic (B) central and identical (C) left and right (D) central and peripheral<|im_end|>
<|im_start|>assistant
<think>
</think>
The two main divisions of the human nervous system are the central nervous sys... | 403 |
<|im_start|>user
In an acidic medium, add which ions to balance?
Answer choice: (A) hydrogen (B) helium (C) magnesium (D) calcium<|im_end|>
<|im_start|>assistant
<think>
</think>
Now the hydrogen atoms need to be balanced. In an acidic medium, add hydrogen ions to balance . In this example, fourteen H + ions will be ... | 9,736 |
<|im_start|>user
If 6 (A's capital) = 8 (B's capital) = 16 (C's capital). Then the ratio of their capitals is?
Answer Choices: (A) 8:15:16 (B) 8:15:68 (C) 8:6:3 (D) 20:15:11 (E) 20:15:19<|im_end|>
<|im_start|>assistant
<think>
</think>
6A = 8B = 16 C
A:B:C = 1/6:1/8:1/16
= 8:6:3
The answer is C<|endoftext|> | 96,899 |
<|im_start|>user
In a fuel cell, energy is not stored; electrical energy is provided by what?
Answer choice: (A) fusion reaction (B) carbon reaction (C) chemical reaction (D) consumption reaction<|im_end|>
<|im_start|>assistant
<think>
</think>
called an alkaline battery when adapted to operate under alkaline conditi... | 6,363 |
<|im_start|>user
Sam, Suresh and Sanket run a race of 1400 meters. Sam runs twice as fast as Suresh while Suresh runs thrice as fast as Sanket. If Sanket finishes the race by clocking 15 minutes, how far was Suresh from the finish line when Sam must have finished the race?
Answer Choices: (A) 450 m (B) 680 m (C) 700 m ... | 27,450 |
<|im_start|>user
One night 25 percent of the female officers on a police force were on duty. If 500 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Answer Choices: (A) 90 (B) 180 (C) 270 (D) 500 (E) 1,000<|im_end|>
<|im_start|>assistant
<think>... | 83,132 |
<|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.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 5,733 |
<|im_start|>user
Find the area of a parallelogram with base 26 cm and height 14 cm?
Answer Choices: (A) 287 cm2 (B) 887 cm2 (C) 364 cm2 (D) 368 cm2 (E) 668 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a parallelogram = base * height
= 26 * 14
= 364 cm2
The answer is C<|endoftext|> | 76,559 |
<|im_start|>user
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
Answer Choices: (A) 5544 (B) 2288 (C) 6776 (D) 1877 (E) 1981<|im_end|>
<|im_start|>assistant
<think>
</think>
Let th... | 72,040 |
<|im_start|>user
During which phase is the moon more than half lit but not full?
Answer choice: (A) crescent (B) gibbous phase (C) new (D) waxing<|im_end|>
<|im_start|>assistant
<think>
</think>
Before and after the quarter-moon phases are the gibbous and crescent phases. During the crescent moon phase, the Moon is l... | 11,190 |
<|im_start|>user
A mixture of a metal with one or more other elements is called?
Answer choice: (A) a carbon (B) an alloy (C) a hydrogen (D) a cobalt<|im_end|>
<|im_start|>assistant
<think>
</think>
Steel is an example of an alloy. An alloy is a mixture of a metal with one or more other elements. The other elements m... | 8,518 |
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