text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
What force pulls people and objects toward the center of the earth?
Answer choice: (A) magnetism (B) variation (C) motion (D) gravity<|im_end|>
<|im_start|>assistant
<think>
</think>
You are already very familiar with Earth’s gravity. It constantly pulls you toward the center of the planet. It preven... | 7,956 |
<|im_start|>user
The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?
Answer Choices: (A) 280 (B) 284 (C) 292 (D) 320 (E) 322<|im_end|>
<|im_start|>assistant
<think>
</think>
HCF of the two numbers = 23
Since HCF will be always a factor of LCM, 23 is a factor ... | 81,477 |
<|im_start|>user
You enter a weight loss challenge game and manage to lose 10% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Answer Choices: (A) 13% (B) 8.2% (C) 9% (D) 14% (E) 12%<|im_end|>
<|im_s... | 47,547 |
<|im_start|>user
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot at the rate of 26.50 per metre is 5,300, what is the length of the plot (in metres)?
Answer Choices: (A) 40 (B) 120 (C) 50 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 68,495 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a plaƞorm 100 meter long in 25 seconds. What is length
of the train ?
Answer Choices: (A) 140 meter (B) 145 meter (C) 150 meter (D) 155 meter (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the length of the train is x m... | 18,534 |
<|im_start|>user
What are biomes that occur where a river, a source of fresh water, meets the ocean called?
Answer choice: (A) waterways (B) estuaries (C) sediments (D) rapids<|im_end|>
<|im_start|>assistant
<think>
</think>
Estuaries: Where the Ocean Meets Fresh Water Estuaries are biomes that occur where a river, a... | 3,679 |
<|im_start|>user
A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 37 (B) 38 (C) 60 (D) 90 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n... | 12,616 |
<|im_start|>user
A new beverage, which is a mixture of grape juice and apple juice, is being tested. The test container of 800 milliliters is 15% grape juice. If the response to the beverage causes the maker to increase the percentage of grape juice in the container to 20%, how much grape juice will be added?
Answer Ch... | 75,610 |
<|im_start|>user
If 6 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Answer Choices: (A) 80 (B) 63 (C) 420 (D) 160 (E) 1260<|im_end|>
<|im_start|>assistant
<think>
</think>
parallelogram can formed by 2 horizontal and 2 v... | 4,704 |
<|im_start|>user
George does 3/5th of a piece of work in 9 days.He then calls in Paul and they finish the work in 4 days.How long would Paul take to do the work by himself?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
9day 3/5
1 day 1/15
remaing 1-3/5=2/5
both ca... | 82,457 |
<|im_start|>user
The total of company C's assets in 1994 was 400% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Answer Choices: (A) 7N (B) 8N (C) 9N (D)... | 2,910 |
<|im_start|>user
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
Answer Choices: (A) 3944 (B) 2287 (C) 1624 (D) 2668 (E) 1298<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the side of the square plot be a ft.
a2 ... | 9,744 |
<|im_start|>user
A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member?
Answer Choices: (A) 10% (B) 20% (C) 25% (D) 40% (E) 50%<|im_end|>
<|im_start|>assistant
<think>
</think... | 9,705 |
<|im_start|>user
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 600 m long?
Answer Choices: (A) 80sec (B) 84sec (C) 90sec (D) 94sec (E) 100sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 240/24 = 10 m/sec.
Required time = (240 + 600)/10 = 84 sec.
The answer is B<|end... | 57,237 |
<|im_start|>user
The decay rate is measured in a unit called the what?
Answer choice: (A) half-life (B) decay rate (C) exponential decay (D) radioactive decay<|im_end|>
<|im_start|>assistant
<think>
</think>
The decay of an unstable isotope to a stable element occurs at a constant rate. This rate is different for eac... | 6,932 |
<|im_start|>user
Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 100 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Answer Choices: (A) 12 (B) 11.9 (C) 16 (D) 20 (E) 18<|im_end|>
<|im_start|>... | 15,385 |
<|im_start|>user
The average age of a husband and a wife is 23 years when they were married FOUR years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Answer Choices: (A) 7 years (B) 9 years (C) 6 years (D) 4 years (E)... | 85,907 |
<|im_start|>user
What type of interspecies relationship involves one party being actively harmed?
Answer choice: (A) mosaicism (B) symbiosis (C) parasitism (D) mutualism<|im_end|>
<|im_start|>assistant
<think>
</think>
Symbiosis is a close relationship between two species in which at least one species benefits. Mutua... | 7,544 |
<|im_start|>user
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 9 minutes by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Answer Choices: (A) 3% (B) 5% (C) 8% (D) 10% (E... | 55,592 |
<|im_start|>user
If 2x^2 + y^2 = 2xy, then (x + y)^2 =
Answer Choices: (A) x^2 (B) 3x^2+2y^2 (C) 4xy (D) 2y^2 (E) – y^2<|im_end|>
<|im_start|>assistant
<think>
</think>
(x+y)^2 = x^2 + y^2 + 2xy = x^2 + y^2+ 2x^2+y^2 = 3x^2+2y^2
Correct option : B
The answer is B<|endoftext|> | 59,817 |
<|im_start|>user
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Answer Choices: (A) 15 days (B) 13 days (C) 12 days (D) 11 days (E) 18 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 82,291 |
<|im_start|>user
The area of a square is 6400 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square?
Answer Choices: (A) 5:24 (B) 5:19 (C) 5:13 (D) 5:22 (E) 5:18<|im_end|>
<|im_start|>assistant
<think>
</th... | 88,194 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 1,682 |
<|im_start|>user
Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Answer Choices: (A) Rs 824.32 (B) Rs 822.32 (C) Rs 825 (D) Rs 723 (E) Rs 624.32<|im_end|>
<|im_start|>assistant
<think>
</think>
Principal = Rs. 10000; Rate = 2% per half-year; Time = 2 yea... | 71,715 |
<|im_start|>user
One out of every 2000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Answer Choices: (A) 450 (B) 900 (C) 90,000 (D) 450,000 (E) 900,000<|im_end|>
... | 35,890 |
<|im_start|>user
Vijay sells a cupboard at 10% below cost price. Had he got Rs.1500 more, he would have made a profit of 10%. What is the cost price of the cupboard?
Answer Choices: (A) 7450 (B) 7500 (C) 7400 (D) 7500 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Cost price = 1500/(0... | 75,023 |
<|im_start|>user
A can do a piece of work in 5 hours; B and C together can do it in 4 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
Answer Choices: (A) 60/7 hours (B) 70/6 hours (C) 35/2 hours (D) 90.8 hours (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</thin... | 60,137 |
<|im_start|>user
A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 90 km/hour. At what speed, in km/hr, is the car traveling?
Answer Choices: (A) 70 (B) 80 (C) 74 (D) 75 (E) 78<|im_end|>
<|im_start|>assistant
<think>
</think>
Time to cover 1 kilomet... | 55,828 |
<|im_start|>user
A meeting has to be conducted with 6 managers. Find the number of ways in which the managers be selected from among 10 managers, if 2 managers will not attend the meeting together?
Answer Choices: (A) 120 (B) 110 (C) 105 (D) 140 (E) 135<|im_end|>
<|im_start|>assistant
<think>
</think>
we can either c... | 88,690 |
<|im_start|>user
Each Machine of type A has 3 steel parts and 2 chrome parts. Each machine of type B has 2 steel parts and 4 chrome parts. If a certain group of type A and type B machines has a total of 50 steel parts and 66 chrome parts, how many machines are in the group
Answer Choices: (A) 11 (B) 21 (C) 31 (D) 61 (E... | 13,224 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Living things are made up of four main groups of carbon-based molecules called organic compounds. One of these groups is carbohydrates. The other three groups are lipids, proteins, and nucleic acids.
All carbohydrates are ma... | 4,326 |
<|im_start|>user
If r is even and t is odd, which of the following is odd r or t?
Answer Choices: (A) rt (B) 6rt (C) 6(r^2) t (D) 6r + 5t (E) 5r + 6t<|im_end|>
<|im_start|>assistant
<think>
</think>
Just checking options (In case you have difficulty then choose values of r=2 and t=1)
r = even
t= Odd
A. rt = Even*Odd ... | 68,039 |
<|im_start|>user
kamal finish a work in 15 days.vimal is 50% more efficient than kamal.then how much time vimal take to finish the work?
Answer Choices: (A) 10 days (B) 21/2 days (C) 12 days (D) 14 days (E) 11 days<|im_end|>
<|im_start|>assistant
<think>
</think>
work of kamal in 1 days=1/15
work of vimal in 1 days=1... | 51,827 |
<|im_start|>user
A9B, D100F, H361K,then find next ?
Answer Choices: (A) M784P (B) M900Q (C) N841Q (D) N756P (E) L884P<|im_end|>
<|im_start|>assistant
<think>
</think>
By giving the number to alphabets, we get
A + B = 1+2 = 3 --> 3^2 = 9
D + F = 4+6 = 10 --> 10^2 = 100
H + K = 8+11= 19 -->19^2 = 361
: :
: :
M + Q = 13... | 19,882 |
<|im_start|>user
A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Answer Choices: (A) 6.24 km (B) 6 km (C) 9.86 km (D) 5.66 km (E) 10 km<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 10
S... | 2,722 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a queen and the second card is a jack is?
Answer Choices: (A) 1/169 (B) 1/52 (C) 1/26 (D) 1/120 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
Probability of a queen = 4/52... | 19,026 |
<|im_start|>user
n denotes the number obtained when n is rounded to the nearest tenth.
For example 4.31 = 4.3
0.089 - 1.135 =
Answer Choices: (A) 1.05 (B) 1.04 (C) -1.05 (D) -1.0 (E) -0.1<|im_end|>
<|im_start|>assistant
<think>
</think>
Here Let the first quantity be A=> A rounded to nearest tenths => 0.1
Similarly l... | 94,881 |
<|im_start|>user
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Answer Choices: (A) 7500 (B) 7389 (C) 7379 ... | 50,312 |
<|im_start|>user
I. m-14, m, m, m, m+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Answer Choices: (A) I, II, III (B) I, III, II (C) II, III, I (D) III, I, II (E) III, II, I<|im_end|>... | 34,145 |
<|im_start|>user
The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Answer Choices: (A) I only (B) II only (C) III only (D) I and II (E) I and III<|im_end|>
<|im_start|>assistant
<think>
</think>
C) III only
The y-intercept is 8. T... | 87,630 |
<|im_start|>user
What is the greatest prime factor of 11!10! + 10!9! ?
Answer Choices: (A) 11 (B) 17 (C) 29 (D) 37 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
11!10! + 10!9! = 10!9!(11*10+1) = 10!*9!*111 = 10!*9!*3*37
The answer is D<|endoftext|> | 63,621 |
<|im_start|>user
How many positive three-digit integers are divisible by both 3 and 7?
Answer Choices: (A) 43 (B) 45 (C) 47 (D) 50 (E) 52<|im_end|>
<|im_start|>assistant
<think>
</think>
A number to be divisible by both 3 and 7 should be divisible by the least common multiple of 3 and 7 so by 21.
Multiples of 21 betw... | 88,099 |
<|im_start|>user
The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Answer Choices: (A) 230 (B) 240 (C) 245 (D) 250 (E) 275<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x... | 51,545 |
<|im_start|>user
If one and a half women, drink one and a half tea in one and a half minutes.
How many tea can 9 women drink in 3 minutes ?
Answer Choices: (A) 11 (B) 8 (C) 37 (D) 15 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
E
18
Explanation:
More minutes implies more tea.
More women implies more tea.
T... | 15,785 |
<|im_start|>user
The radius of a circle is increased by 1%. Find how much % does its area increases?
Answer Choices: (A) 2.06% (B) 2.91% (C) 9.01% (D) 2.01% (E) 3.01%<|im_end|>
<|im_start|>assistant
<think>
</think>
r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
The answer is D<|endoftext|> | 66,395 |
<|im_start|>user
If x, y, and z are positive integers and x = 4y = 7z, then the least possible value of x + y + z is
Answer Choices: (A) 33 (B) 40 (C) 49 (D) 39 (E) 84<|im_end|>
<|im_start|>assistant
<think>
</think>
x + y + z = x/4 + x + x/7
= (7 + 28 + 4 )x/28 =39x/28
39 is not divisible by 28, so for least value, ... | 73,036 |
<|im_start|>user
Each nitrogenous base has one or two rings that include which atoms?
Answer choice: (A) oxygen (B) nitrogen (C) hydrogen (D) carbon<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 1,711 |
<|im_start|>user
Surface tension comes from the fact that particles at the surface of a liquid do not experience interactions from all directions which leads to what on the surface?
Answer choice: (A) degradation of forces (B) imbalance of forces (C) floating particles (D) waves<|im_end|>
<|im_start|>assistant
<think>
... | 6,668 |
<|im_start|>user
It is currently 8:12 PM. At what time in the morning was it exactly 205,106 minutes ago?
Answer Choices: (A) 9:14 (B) 9:16 (C) 9:42 (D) 9:44 (E) 9:46<|im_end|>
<|im_start|>assistant
<think>
</think>
Convert 205,106 minutes to hours by dividing by 60: 205,106/60 = 3,418 R26. That is 3,418 hours and 26... | 33,649 |
<|im_start|>user
If a cyclist in motion increases his speed by 30 percent and then increases this speed by 10 percent, what percent of the original speed is the total increase in speed?
Answer Choices: (A) 10% (B) 40% (C) 43% (D) 64% (E) 140%<|im_end|>
<|im_start|>assistant
<think>
</think>
let the sped be 100
an inc... | 75,172 |
<|im_start|>user
In Town X, 64 percent of the population are employed, and 38 percent of the population are employed males. What percent of the employed people in Town X are females?
Answer Choices: (A) 16% (B) 25% (C) 32% (D) 40% (E) 52%<|im_end|>
<|im_start|>assistant
<think>
</think>
We are asked to find the perce... | 14,921 |
<|im_start|>user
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Answer Choices: (A) 3209 (B) 3291 (C) 3600 (D) 2997 (E) 2983<|im_end|>
<|im_start|>assistant
<think>
</think>
P = 144(100/5)2 => P
= 3600
The answer is C<|e... | 23,557 |
<|im_start|>user
A chemical supply company has 60 liters of a 30% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Answer Choices: (A) 12 (B) 15 (C) 20 (D) 24 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
60 liters of a 30% HNO3 so... | 30,933 |
<|im_start|>user
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
.
Answer Choices: (A) Rs. 650 (B) Rs. 690 (C) Rs. 698 (D) Rs. 700 (E) Rs. 720<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x... | 77,430 |
<|im_start|>user
In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 65, what is the greatest possible value of B x A?
Answer Choices: (A) 0 (B) 10 (C) 15 (D) 20 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
I also was confused when I was looki... | 52,531 |
<|im_start|>user
How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5544, 6336
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible b... | 52,653 |
<|im_start|>user
The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Answer Choices: (A) 3:5 (B) 5:5 (C) 2:5 (D) 1:6 (E) 2:6<|im_end|>
<|im_start|>assistant
<think>
</think>
C
2:5
Let C.P. = $ 5x and S.P. = $ 7x.
Then, Gain... | 75,359 |
<|im_start|>user
What cellular process is controlled by allosteric enzymes at key points in glycolysis and the citric acid cycle?
Answer choice: (A) photosynthesis (B) cellular respiration (C) Metabolism (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 8,974 |
<|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... | 4,263 |
<|im_start|>user
The average of four numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Answer Choices: (A) 25 (B) 27 (C) 30 (D) 33 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Therefore excluded number
= (27 × 4) - ( 25 × 3)
= 108– 75
= 33.
The answer is D<|endof... | 62,170 |
<|im_start|>user
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for $1.05 cents, and Zachary buys a pencil and an eraser for 65 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discoun... | 22,989 |
<|im_start|>user
In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the six row?
Answer ... | 95,987 |
<|im_start|>user
the sum of seven consecutive integers is 980. How many of them are
prime?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
The middle number is 140 and the seven numbers are 137, 138, 139, · · · , 143.
Now 138, 140, and 142 are even, 141 is divisible by 3... | 76,535 |
<|im_start|>user
In a mixture 60 litres, the raƟo of milk and water 2 : 1. If the this raƟo is to be 1 : 2, then the quanity
of water to be further added is
Answer Choices: (A) 20 liters (B) 30 liters (C) 50 liters (D) 60 liters (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Quantity ... | 94,549 |
<|im_start|>user
If after 250 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Answer Choices: (A) 180 grams (B) 220 grams (C) 250 grams (D) 350 grams (E) 500 grams<|im_end|>
<|im_start|>assistant
<think>
</think>
The... | 22,562 |
<|im_start|>user
The addition of electron gives the halide ions the same electron configuration as what gas?
Answer choice: (A) a noble gas (B) a flammable gas (C) a fatty gas (D) an inert gas<|im_end|>
<|im_start|>assistant
<think>
</think>
The elements of the halogen group (Group 17) gain electrons most readily, as... | 9,887 |
<|im_start|>user
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 12k bottles?
Answer Choices: (A) 8 (B) 12 (C) 15 (D) 48 (E) ... | 19,832 |
<|im_start|>user
The length of box 12 Cm long, 8 Cm breadth and 9Cm height. Find the length of pencil in that box?
Answer Choices: (A) 19 (B) 14 (C) 17 (D) 16 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Diagonal (d) = √l(power2)+b(power2)+h(power2)
= √12(power2)+8(power2)+9(power2)
= √144+64+81
= √289 => ... | 49,063 |
<|im_start|>user
A man has Rs. 528 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Answer Choices: (A) 90 (B) 94 (C) 96 (D) 97 (E) 99<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n... | 12,090 |
<|im_start|>user
Find the middle one when The sum of three consecutive even numbers is 72?
Answer Choices: (A) 70 (B) 60 (C) 78 (D) 72 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 72.
Hence a = 72.
D
The answer is D<|endoftext|> | 63,127 |
<|im_start|>user
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $10. What is the percent decrease?
Answer Choices: (A) 90% (B) 30% (C) 40% (D) 70% (E) 80%<|im_end|>
<|im_start|>assistant
<think>
</think>
The is always the difference between our starting and... | 51,126 |
<|im_start|>user
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Answer Choices: (A) 9268 (B) 9261 (C) 9262 (D) 9242 (E) 9266<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 8000(21/20)3 = 9261
The answer is B<|endoftext|> | 74,993 |
<|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... | 1,582 |
<|im_start|>user
A certain truck uses 18 gallons of diesel fuel in traveling 230 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Answer Choices: (A) 8 (B) 9 (C) 12 (D) 15 (E) 27<|im_end|>
<|im_start|>assi... | 93,247 |
<|im_start|>user
The body of the simplest sponges takes the shape of a cylinder with a large central cavity, called?
Answer choice: (A) spicule (B) spongocoel (C) vacuole (D) spirogyra<|im_end|>
<|im_start|>assistant
<think>
</think>
The body of the simplest sponges takes the shape of a cylinder with a large central ... | 11,536 |
<|im_start|>user
How many positive integers w less than 30 have no common prime factor with 30?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
w=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, ... | 61,323 |
<|im_start|>user
The least common multiple of positive integer w and 3-digit integer n is 690. If n is not divisible by 3 and w is not divisible by 2, what is the value of n?
Answer Choices: (A) 115 (B) 230 (C) 460 (D) 575 (E) 690<|im_end|>
<|im_start|>assistant
<think>
</think>
The LCM of n and w is 690 = 2*3*5*23.
... | 40,894 |
<|im_start|>user
If pqr = 0 , rst = 1 , and spr = 0, which of the following must be zero?
Answer Choices: (A) P (B) Q (C) R (D) S (E) T<|im_end|>
<|im_start|>assistant
<think>
</think>
rst = 1 which means neither r / s/ t is 0
r x pq = 0 , we know r is not 0 from above hence either p or q must be 0.
s x p x r = 0, we... | 68,470 |
<|im_start|>user
28 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Answer Choices: (A) 13.25 (B) 38.25 (C) 33.25 (D) 12.25 (E) 31.25<|im_end|>
<|im_start|>assistant
<think>
</think>
x/7 = y/9 => x:y = 7:9
7/16 * 28 = 12.25
The answer is D... | 14,900 |
<|im_start|>user
a, b are positive integers. The remainder of a to be divided by 5 is 2 and the remainder of b to be divided by 7 is 3.
Which is possible to be the remainder of a*b to be divided by 48
Answer Choices: (A) a) 2 (B) b) 6 (C) c) 8 (D) d) 12 (E) e) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 61,517 |
<|im_start|>user
There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class?
Answer Choices: (A) 38.25 (B) 37.25 (C) 38.5 (D) 37 (E) 37.5<|im_end|>
<|im_start|>ass... | 70,787 |
<|im_start|>user
When the number 72y6139 is exactly divisible by 11, then the smallest whole number that can replace y is?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
The given number =72y6139
Sum of the odd places =9+1+y+7
Sum of the even places = 3+6+2=11
(Sum of t... | 83,652 |
<|im_start|>user
If the product of two positive integers is 120, which of the following could be the LCM and HCF of the two numbers? a. LCM 60 : HCF 2 b. LCM 30 : HCF 4 c. LCM 12 : HCF 10
Answer Choices: (A) b only (B) c only (C) b,c only (D) a only (E) a,c only<|im_end|>
<|im_start|>assistant
<think>
</think>
The ri... | 51,102 |
<|im_start|>user
Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 40. He was allowed to drop his lowest score. After doing so, his average test score improved to 45. What is the lowest test score that was dropped?
Answer Choices: (A) 20 (B) 25 (C) 55 (D) 65 (E) 80<|im_end|>
<|im_start|>ass... | 34,130 |
<|im_start|>user
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Answer Choices: (A) 71 years (B) 72 years (C) 74 years (D) 77 years (E) 75 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Required sum = (80 - 3 x 3) years = (80 - 9) ... | 5,190 |
<|im_start|>user
If an article is sold at 19% profit instead of 12% profit, then the profit would be $84 more. What is the cost price?
Answer Choices: (A) $900 (B) $1200 (C) $1500 (D) $1800 (E) $2100<|im_end|>
<|im_start|>assistant
<think>
</think>
7% * cost price = $84
1% * cost price = $84 / 7 = $12
The cost price ... | 58,864 |
<|im_start|>user
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Answer Choices: (A) 7% (B) 5% (C) 2% (D) 1% (E) 6%<|im_end|>
<|im_start|>assistant
<think>
</think>
3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/10... | 59,440 |
<|im_start|>user
If CD represents a positive two digit number, where C and D are single digit integers, which of the following cannot be true?
Answer Choices: (A) C+D =9 (B) (C) (D) =9 (C) C-D = 9 (D) D-C= 9 (E) C/D = 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(A) CD = 45 or 63 or 27
(B) CD = 33 or 19
(C) 90
... | 55,498 |
<|im_start|>user
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 160 (B) 180 (C) 200 (D) 220 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
The speed of the train ... | 25,933 |
<|im_start|>user
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?
Answer Choices: (A) 30 Seconds (B) 22 Seconds (C) 41 Seconds (D) 24 Seconds (E) 29 Seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
30 Seconds
Distance travelled = 140 + 360m = 500m
Speed = 6... | 41,238 |
<|im_start|>user
The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 10 cm. If the area of the trapezium is 250cm2 find the lengths of the parallel side
Answer Choices: (A) 27, 23 (B) 25, 25 (C) 24, 26 (D) 23, 29 (E) 24, 45<|im_end|>
<|im_start|>assistant
<think>
</... | 25,807 |
<|im_start|>user
One woman and one man can build a wall together in four hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them eight hours to build the wall. Assuming that rates for men, women and g... | 10,024 |
<|im_start|>user
The ratio of efficiency of A is to C is 5:3.The ratio of no.of days taken by B is to C is 2:3.A takes 6 days less than C,when A and C completes the work individually.B and C left the work after 2 days.the no of days taken by A to finish the remaining work?
Answer Choices: (A) 4.5 (B) 5 (C) 6 (D) 7 (E) ... | 41,653 |
<|im_start|>user
Suppose son name is 120,his brother name is 150 and his mother name is 170.find out his father's name???
Answer Choices: (A) 190 (B) 200 (C) 230 (D) 240 (E) 250<|im_end|>
<|im_start|>assistant
<think>
</think>
since difference between all name is =30
so father's name will be 170+30=200.
The answer is... | 26,060 |
<|im_start|>user
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
... | 61,492 |
<|im_start|>user
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 10P pots?
Answer Choices: (A) M/10 (B) 6/M (C) 600M (D) M/6 (E) 10M<|im_end|>
<|im_start|>assistant
<think>
</think>
The time it takes to wash 10P pots is 10M minutes which is 10M... | 72,017 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Formal writing is used for essays, business letters, and reports. The following types of informal language should be avoided in formal writing:
Type | Examples
slang | cool, awesome
idioms | knock your socks off
conversation... | 2,964 |
<|im_start|>user
Which of the statements is true for 3111 & 1714
Answer Choices: (A) 11 (B) 88 (C) 66 (D) 17 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endoftext|> | 22,728 |
<|im_start|>user
If the product of two positive integers is 40, which of the following could be the LCM and HCF of the two numbers? a. LCM 20 : HCF 2 b. LCM 40 : HCF 5 c. LCM 20 : HCF 4
Answer Choices: (A) b only (B) c only (C) a only (D) a, c only (E) a, b only<|im_end|>
<|im_start|>assistant
<think>
</think>
a is t... | 21,942 |
<|im_start|>user
P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
Answer Choices: (A) 35000 (B) 40000 (C) 50000 (D) 60000 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose Q invested Rs. y. Then, 40000/y = 2... | 83,739 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.