text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Answer Choices: (A) 720 (B) 6 (C) 2880 (D) 5040 (E) 10080<|im_end|>
<|im_start|>assistant
<think>
</think>
Since Rohit does not want to sit on the middle seat or at eithe... | 45,383 |
<|im_start|>user
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Answer Choices: (A) 2:3 (B) 3:4 (C) 4:3 (D) 6:7 (E) 7:6<|im_end|>
<|im_start|>assis... | 65,246 |
<|im_start|>user
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Answer Choices: (A) 287 (B) 279 (C) 200 (D) 278 (E) 379<|im_end|>
<|im_... | 16,769 |
<|im_start|>user
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 4 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Answer Choices: (A) 3 9/17 (B) 6 (C) 7 (D) 7 1/5 (E) 8 4/7<|im_end|>
<|im_start|>a... | 77,336 |
<|im_start|>user
Mangala completes a piece of work in 10 days, Raju completes the same work in 60 days. If both of them work together, then the number of days required to complete the work is?
Answer Choices: (A) 60/7 days (B) 10 days (C) 12 days (D) 14 days (E) 16 days<|im_end|>
<|im_start|>assistant
<think>
</think>... | 17,901 |
<|im_start|>user
If an amount of Rs 42,240 is distributed equally
amongst 22 persons, how much amount would each
person get?
Answer Choices: (A) Rs 1905 (B) Rs 1920 (C) Rs 745 (D) Rs 765 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Required amount =42240/22 = Rs 1920
The answer is B<|endoftext|> | 16,019 |
<|im_start|>user
What is the value of 4^6+4^8?
Answer Choices: (A) 4^12 (B) 4^35 (C) 17(4^6) (D) 8^12 (E) 7(4^5) <|im_end|>
<|im_start|>assistant
<think>
</think>
4^6+4^8
=4^6(1+4^2)
=4^6 * 17
The answer is C<|endoftext|> | 39,069 |
<|im_start|>user
In a class of 25 students in an examination in maths 5 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class?
Answer Choices: (A) A) 47 (B) B) 45.6 (C) C) 44 (D) D) 48 (E) E) 49.6<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 89,539 |
<|im_start|>user
John purchased a house for Rs.45000 and a site for Rs.25000 respectively, if he sold the house for Rs.55000 and the site for Rs.16000, then find the resultant percentage of gain?
Answer Choices: (A) 1.39% (B) 1.40% (C) 1.41% (D) 1.42% (E) 1.43%<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
To... | 9,471 |
<|im_start|>user
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 23 years. The present age of the husband is
Answer Choices: (A) 40 (B) 34 (C) 45 (D) 55 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Sum of the present ages... | 70,821 |
<|im_start|>user
A = {0, 1, -3, 6, -8, 20, 4}
B = {-1, 2, -4, 7, 5}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Answer Choices: (A) 1/4 (B) 1/3 (C) 2/5 (D) 4/9 (E) 12/35<|im_end|>
<|im_start|>assistant
<think>
</thi... | 72,553 |
<|im_start|>user
If x is equal to the sum of the integers from 20 to 30, inclusive, and y is the number of EVEN integers from 20 to 30, inclusive, what is the value of x+y ?
Answer Choices: (A) 171 (B) 281 (C) 361 (D) 461 (E) 561<|im_end|>
<|im_start|>assistant
<think>
</think>
sum s= n/2{2a+(n-1)d} = 11/2{2*20+ (11-... | 37,040 |
<|im_start|>user
Kelly and Jody packed boxes with books. If Jody packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Answer Choices: (A) 1 to 6 (B) 1 to 4 (C) 2 to 5 (D) 3 to 5 (E) 2 to 3<|im_end|>
<|im_start|>assistant
<think>
</think>
Expla... | 22,510 |
<|im_start|>user
Which planet is closest to the sun?
Answer choice: (A) Earth (B) mercury (C) Jupiter (D) Venus<|im_end|>
<|im_start|>assistant
<think>
</think>
The four planets closest to the Sun - Mercury, Venus, Earth, and Mars - are the inner planets . They are similar to Earth. All are solid, dense, and rocky. N... | 4,955 |
<|im_start|>user
there are 6 elements and few are a ,b,c,d.find permutation and combination?
Answer Choices: (A) 350,15 (B) 360,15 (C) 370,15 (D) 380,15 (E) 360,10<|im_end|>
<|im_start|>assistant
<think>
</think>
6p4 =3*4*5*6=360
6c4=15
The answer is B<|endoftext|> | 58,194 |
<|im_start|>user
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions Q represents the final price of the item?
Answer Choices: (A) Q=(10,000z + 100z(x – y) – xyz) /10,000 (B) Q=(10,000z + 100z(y – x) – xyz) /10,000 (C) Q=(100z(x... | 71,599 |
<|im_start|>user
If a and b are integers and (2^a)(3^b) is a factor of 600^40, what is the largest possible value of ab?
Answer Choices: (A) a (B) 5a (C) 20a (D) 40a (E) 80a<|im_end|>
<|im_start|>assistant
<think>
</think>
(2^a)(3^b) is a factor of 600^40
We need to find the largest possible value of ab.
We know that... | 34,873 |
<|im_start|>user
Three-twentieths of the members of a social club are retirees who are also bridge players, nine-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
... | 21,315 |
<|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... | 4,536 |
<|im_start|>user
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 12 sec (B) 24 sec (C) 36 sec (D) 60 sec (E) 62 sec<|im_end|>
<|i... | 24,829 |
<|im_start|>user
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-130 inclusive is the digital sum a multiple of 7?
Answer Choices: (A) 7 (B) 8 (C) 14 (D) 16 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
is there other way than just listing?
25
34
43
52
59
61
68... | 9,742 |
<|im_start|>user
What three characteristics do waves have?
Answer choice: (A) structure , refraction and deflection (B) theory , refraction and deflection (C) reflection, refraction and deflection (D) spin, refraction, and deflection<|im_end|>
<|im_start|>assistant
<think>
</think>
Most waves approach the shore at an... | 1,005 |
<|im_start|>user
If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {3,4,5}, what`s the probability that xy will be even?
Answer Choices: (A) 1/6 (B) 1/3 (C) 1/2 (D) 5/6 (E) 2/3<|im_end|>
<|im_start|>assistant
<think>
</think>
The product to be even either one or both m... | 56,622 |
<|im_start|>user
0.999999+0.111111=?
Answer Choices: (A) 1 (B) 1.0001 (C) 1.0021 (D) 1.111 (E) 1.11111<|im_end|>
<|im_start|>assistant
<think>
</think>
0.999999 + 0.111111
= 0.999999 + 0.11111 + 0.000001
= (0.999999 + 0.000001) + 0.11111
= 1 + 0.11111
= 1.11111
E
The answer is E<|endoftext|> | 75,171 |
<|im_start|>user
There are 10 slate rocks, 15 pumice rocks, and 6 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Answer Choices: (A) 2/19 (B) 3/31 (C) 4/37 (D) 5/41 (E) 6/53<|im_end|>
<|im_start... | 44,225 |
<|im_start|>user
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
Answer Choices: (A) 45% (B) 40% (C) 35% (D) 32.5% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Price = p
initially price reduce... | 83,172 |
<|im_start|>user
What is a molecule made up of two subunits?
Answer choice: (A) chloride (B) enzyme (C) acid (D) dimer<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 8,691 |
<|im_start|>user
A is twice as good a work man as B and together they finish the work in 4 days. In how many days A alone can finish the work?
Answer Choices: (A) 3 (B) 2 (C) 7 (D) 9 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
WC = 2:1
2x + x = 1/4 => x = 1/12
2x = 1/6
A can do the work in 6 days.
The answ... | 93,513 |
<|im_start|>user
The cost of 6 bags and 8 purses is Rs.1300, what is the cost of 10 bags and 30 purses?
Answer Choices: (A) Rs.3600 (B) Rs.3500 (C) Rs.3800 (D) Rs.3250 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Cost of 6 bags + 8 purses = Rs.1300
Multiply each term by 5/2, we get,... | 89,585 |
<|im_start|>user
If 4x + y = 8 and y − 3x = 7, then what is the value of x + 2y?
Answer Choices: (A) 1/7 (B) 3 (C) 15 (D) 52/7 (E) 60/7<|im_end|>
<|im_start|>assistant
<think>
</think>
4x + y = 8
−3x + y = 7
Adding both the equations --> x + 2y = 15
The answer is C<|endoftext|> | 11,787 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A sentence is a group of words that forms a complete thought. It has both a subject and a verb.
My friends walk along the path.
A sentence fragment is a group of words that does not express a complete thought. It is usually ... | 6,389 |
<|im_start|>user
Metals, fossil fuels, and water are all examples of what type of resource?
Answer choice: (A) natural resources (B) ores (C) recyclables (D) renewable resources<|im_end|>
<|im_start|>assistant
<think>
</think>
A natural resource is anything in nature that humans need. Metals and fossil fuels are natu... | 9,139 |
<|im_start|>user
Find value of x: 121 × 54 = x
Answer Choices: (A) 34545 (B) 46576 (C) 67887 (D) 57687 (E) 75625<|im_end|>
<|im_start|>assistant
<think>
</think>
121×54=121×(102)4=121×1000016=7.5625×10000=75625
E
The answer is E<|endoftext|> | 1,818 |
<|im_start|>user
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 7 kmph (B) 6 kmph (C) 5 kmph (D) 8 kmph (E) 2 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d... | 2,155 |
<|im_start|>user
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after ... | 90,587 |
<|im_start|>user
According to a recent student poll, 5/6 out of 30 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Answer Choices: (A) 1/14 (B) 4/49 (C) 2/7 (D) 28/2... | 3,672 |
<|im_start|>user
What is the term for the tube that carries sound waves into the ear?
Answer choice: (A) ear canal (B) sound canal (C) flap canal (D) tone canal<|im_end|>
<|im_start|>assistant
<think>
</think>
The ear canal is a tube that carries sound waves into the ear. The sound waves travel through the air inside... | 449 |
<|im_start|>user
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Answer Choices: (A) 2 9 ½ kmph (B) 8 2 ½ kmph (C) 2 7 ½ kmph (D) 2 2 ½ kmph (E) 3 2 ½ kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S =... | 22,696 |
<|im_start|>user
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10000 years is:
Answer Choices: (A) 111 × 1827 miles (B) 999× 1238 miles (C) 587 x 10^14 miles (D) 247 × 1012 miles (E) 587 × 1012 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 32,725 |
<|im_start|>user
What type of intense storm is a system of winds that rotate around a low pressure center, resulting in swirling air that rises and cools to create clouds and precipitation?
Answer choice: (A) hurricane (B) drought (C) cyclone (D) monsoon<|im_end|>
<|im_start|>assistant
<think>
</think>
Cyclones can b... | 10,091 |
<|im_start|>user
In the coordinate plane, points (x, 5) and (9, y) are on line k. If line k passes through the origin and has slope 5/9, then x - y =
Answer Choices: (A) 4 (B) 6 (C) 5 (D) 8 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Line k passes through the origin and has slope 1/4 means that its equatio... | 4,924 |
<|im_start|>user
If sum of the first 11 terms of arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?
Answer Choices: (A) 0 (B) -1 (C) 1 (D) Not unique (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given,
t1 + t2 + ........t11 = t1 + ... | 57,254 |
<|im_start|>user
If x3−6x2+11x−6=0x3−6x2+11x−6=0 and x3+3x2−6x−8=0x3+3x2−6x−8=0 have one common root between them. What is the value of that root?
Answer Choices: (A) 3 (B) 2 (C) 6 (D) 9 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
There are two equations,
x3−6x2+11x−6=0x3−6x2+11x−6=0 - - - (i)
x3+3x2−6x−8=... | 84,228 |
<|im_start|>user
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Answer Choices: (A) Rs. 21,000 (B) Rs. 22,500 (C) Rs. 25,300 (D) Rs. 25,800 (E) Rs. 28,800<|im_end|>
<|im_start|>assistant
<think>
</think>
85 : 18700 = 115 : x
x = (18700 x 115)/85 = 2... | 75,752 |
<|im_start|>user
Which of the following could be the sum of the reciprocals of two prime numbers?
Answer Choices: (A) 7/13 (B) 11/12 (C) 11/30 (D) 23/50 (E) 14/33<|im_end|>
<|im_start|>assistant
<think>
</think>
10/12 it is
14/33=(1/3) + (1/11)
The answer is E<|endoftext|> | 18,999 |
<|im_start|>user
Two good train each 250 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Answer Choices: (A) 12 sec (B) 24 sec (C) 48 sec (D) 60 sec (E) None<|im_end|>
<|i... | 81,754 |
<|im_start|>user
On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 10 percent. What was the total rent the motel actually... | 50,040 |
<|im_start|>user
A customer went to a shop and paid a total of $40, out of which $1.28 was for sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?
Answer Choices: (A) $19.54 (B) $2076 (C) $21.36 (D) $22.72 (E) $23.58<|im_end|>
<|im_start|>assistant
<think>
</think>
Th... | 10,808 |
<|im_start|>user
By selling 50 mangoes, a shopkeeper gains the price of 10 mangoes. His gain per cent is
Answer Choices: (A) 25% (B) 35% (C) 20% (D) 23% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose S.P of 50 mangoes = Rs 50
Therefore, Gain = Rs 10 => C.P = Rs 40
Gain % = 10/40 x 100 = 25%
Gain = 2... | 55,953 |
<|im_start|>user
Look at this series: 74, 71, 69, 66, 64, ... What number should come next?
Answer Choices: (A) 60 (B) 61 (C) 59 (D) 58 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
This is an alternating number subtraction series. First, 3 is subtracted, then 2, then 3, and so on.
The answer i... | 29,336 |
<|im_start|>user
f two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Answer Choices: (A) 50% (B) 80% (C) 60 percent (D) 84% (E) 87%<|im_end|>
<|im_start|>assistant
<think>
</think>
Given ratio = 1/8 : 1/5 = 5 : 8
Let first number be 5x and the second numbe... | 1,871 |
<|im_start|>user
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Answer Choices: (A) 83.33 (B) 84 (C) 85 (D) 76 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentag... | 32,738 |
<|im_start|>user
rahul played weel in this season.his current batting averagge is 53.if he score 78 runs in today match.his batting average will become 58.how many matches had he played in this season.
Answer Choices: (A) 4 (B) 10 (C) 9 (D) 6 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
53x+78=58(x+1)
=>5x=... | 38,491 |
<|im_start|>user
According to count rumford, which two are equivalent ways of transferring energy?
Answer choice: (A) addition and multiplication (B) heat and work (C) osmosis and heredity (D) time and space<|im_end|>
<|im_start|>assistant
<think>
</think>
In the 1780s, an American scientist named Benjamin Thompson, ... | 574 |
<|im_start|>user
As the number of unpaired electrons increases, what happens to the magnetic moment?
Answer choice: (A) gets larger (B) is destroyed (C) remains the same (D) gets smaller<|im_end|>
<|im_start|>assistant
<think>
</think>
Magnetic Moments of Molecules and Ions Experimental evidence of magnetic measureme... | 11,207 |
<|im_start|>user
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/7 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Answer Ch... | 29,426 |
<|im_start|>user
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent P of the cost would the gross profit on the item have been if it had been sold without the discount?
Answer Choices: (A) 20% (B) 40% (C) 50% (D) 60% (E) 75%<|im_end|>
<|im_start|>assistant... | 33,737 |
<|im_start|>user
Of the a students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
Answer Choices: (A) a + w- x- y (B) a - w- x- y (C) a- w - ... | 62,965 |
<|im_start|>user
15 - 2 + 4 ÷ 1/2 × 8 = ?
Answer Choices: (A) 272 (B) 77 (C) 168 (D) 56 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
15 - 2 + 4 ÷ 1/2 × 8 = 15 - 2 + 4 × 2 × 8 = 15 - 2 + 64 = 77
The answer is B<|endoftext|> | 55,960 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 3,452 |
<|im_start|>user
Henry has to secure 70% marks to clear his exam of class 6th.
He got 110 marks and failed by 100 marks.
What is the maximum marks ?
Answer Choices: (A) 200 (B) 300 (C) 400 (D) 500 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
B
300
To pass the exam ravish needs 110 + 100 = 210 marks.
=> (2... | 27,613 |
<|im_start|>user
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
Answer Choices: (A) (1.5) ^4 (B) (1.05) ^5 (C) (1.05) ^4 (D) 1 + (0.05) ^4 (E) 1 + 4(0.05) <|im_end|>
<|im_start|>assistant
<think>
</think>
In this prompt, th... | 64,594 |
<|im_start|>user
In a forest 120 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage o... | 74,660 |
<|im_start|>user
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?
Answer Choices: (A) Sum = Rs.380 and Time = 4 years (B) Sum = Rs.400 and Time = 6 years (C) Sum = Rs.320 and Time = 4 years (D) Sum = ... | 34,038 |
<|im_start|>user
The speed of a train is 94 kmph. What is the distance covered by it in 12 minutes?
Answer Choices: (A) 15 kmph (B) 11 kmph (C) 88 kmph (D) 19 kmph (E) 12 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
94 * 12/60
= 18.8 kmph
The answer is D<|endoftext|> | 33,044 |
<|im_start|>user
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 13%, then the cost price of the article is:
Answer Choices: (A) 545 (B) 334 (C) 555 (D) 664 (E) 5598<|im_end|>
<|im_start|>assistant
<think>
</think>
110% of S.P. = 61... | 34,028 |
<|im_start|>user
In a division, a student took 48 as divisor instead of 36. his answer was 24 . The correct answer is-
Answer Choices: (A) 42 (B) 32 (C) 48 (D) 28 (E) 38<|im_end|>
<|im_start|>assistant
<think>
</think>
X/48 = 24.
X = 24 *48.
So correct answer would be,
(24 *48) /36 = 32.
The answer is B<|endoftext|> | 18,163 |
<|im_start|>user
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 9/10, what is the probability that Taylor makes exactly one basket in three tries?
Answer Ch... | 58,524 |
<|im_start|>user
A set consist of 2b-1 element. What is the number of subsets of this set which contain at most b-1 elements?
Answer Choices: (A) 2^(2b-2) (B) 2^(2b) - 2 (C) 2^(2b) -1 (D) 2^(2b) (E) 2^(2b-1) <|im_end|>
<|im_start|>assistant
<think>
</think>
I used b=3, so then we have
5!/2!3! + 5!/4!1! + 5!/0!5!
... | 57,181 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Rosh Hashanah is an important holiday in which religion?
Answer Choices: (A) Islam (B) Judaism (C) Buddhism (D) Christianity<|im_end|>
<|im_start|>assistant
<think>
</think>
Rosh Hashanah is a holiday in the re... | 3,043 |
<|im_start|>user
What is the factor that affects the solubility of solutes in all three states?
Answer choice: (A) oxygen (B) color (C) temperature (D) heat<|im_end|>
<|im_start|>assistant
<think>
</think>
Temperature affects the solubility of solutes in all three states. Pressure also affects the solubility of gases... | 4,276 |
<|im_start|>user
If f(x)=4x−1 and g(x)=2x+4 for all integers, which of the following is a possible value of g(f(x))?
Answer Choices: (A) -23 (B) -17 (C) 0 (D) 18 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
g(f(x)) = 2*f(x)+4 = 2*(4x-1)+4 = 8x+2
Of these five options, only 18 has the form 8x+2.
The answer ... | 56,003 |
<|im_start|>user
A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
Answer Choices:... | 9,993 |
<|im_start|>user
What is the probability of flipping a fair coin nine times and the coin landing on heads on at least two flips?
Answer Choices: (A) 57/64 (B) 119/128 (C) 251/256 (D) 503/512 (E) 509/512<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of possible outcomes is 2^9=512.
0 heads: There is 1 wa... | 81,126 |
<|im_start|>user
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
Answer Choices: (A) 10.5 (B) 10.8 (C) 10.9 (D) 10.4 (E) 10.2<|im_end|>
<|im_start|>assistant
<think>
</think>
Total distance t... | 49,555 |
<|im_start|>user
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Answer Choices: (A) 16.80 × 4.50 + 4.4 (B) 1600 ÷ 40 + 16 × 2 (C) 5.5 × 8.4 + 34.6 (D) 1620 ÷ 20 – 1 (E) 1856.95 – 1680.65 – 96.3<|im_e... | 79,617 |
<|im_start|>user
Which of the following is closer to (5!+4!)/(5!-4!)?
Answer Choices: (A) 1 (B) 9 (C) 12 (D) 15 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Notice that 5! = (5)(4!), so we can factor out 4! from top and bottom.
(5!+4!)/(5!-4!)=[4!(5+1)]/[4!(5-1)]
= 6/4
≈ 1
The answer is A<|endoftext|> | 73,980 |
<|im_start|>user
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Answer Choices: (A) 50 m^3 (B) 60 m^3 (C) 70 m^3 (D) 80 m^3 (E) 100 m^3<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
lb = 20 ; lh = 15 ; fh = 12
(lbh)2 =... | 41,083 |
<|im_start|>user
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Answer Choices: (A) 8km/h (B) 10km/h (C) 12km/h (D) 13km/h (E) 14km/h<|im_end|>
<|im_start|>assistant
... | 42,549 |
<|im_start|>user
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Answer Choices: (A) 4082.8 (... | 95,700 |
<|im_start|>user
A person standing on a railway platform noticed that a train took 21 seconds to completely pass through the platform which was 84m long and it took 9 seconds in passing him.Find the speed of the train?
Answer Choices: (A) 6m/sec (B) 5m/sec (C) 12m/sec (D) 7m/sec (E) None<|im_end|>
<|im_start|>assistant... | 11,463 |
<|im_start|>user
In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 20 hours a day, the number of men required is:
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the r... | 16,289 |
<|im_start|>user
What is the different between the place value and face value of 6 in the numeral 5468?
Answer Choices: (A) 45 (B) 54 (C) 60 (D) 36 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
place value of 6 = 6 * 10 = 60
face value of 6 = 6
60 - 6 = 54
The answer is B<|endoftext|> | 3,364 |
<|im_start|>user
A boatman goes 3 km against the current of the stream in 3 hour and goes 1 km along the current in 30 minutes. How long will it take to go 3 km in stationary water?
Answer Choices: (A) 5 hours (B) 4 hours (C) 3 hours (D) 2 hours (E) 1 hours<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation... | 12,110 |
<|im_start|>user
Q is not equal to zero and k = (Q x n - s)/2 find n?
Answer Choices: (A) (2 x k + s) /Q (B) (2 x s x k) /Q (C) (2 x k - s) /Q (D) (2 x k + s x Q) /Q (E) (k + s) /Q<|im_end|>
<|im_start|>assistant
<think>
</think>
k = (Q x n - s)/2
=> Q x n - s = 2 x k
=> Q x n = 2 x k + s
=> n = (2 x k + s)/Q
The ans... | 90,659 |
<|im_start|>user
Out of a classroom of 4 boys and 7 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Answer Choices: (A) 3/11 (B) 5/11 (C) 5/33 (D) 7/33 (E) 16/165<|im_end|>
<|im_st... | 84,709 |
<|im_start|>user
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Answer Choices: (A) 19 (B) 19.7 (C) 21 (D) 23 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Total cost of ... | 75,819 |
<|im_start|>user
If p is an odd integer and q is an even integer, which of the following must be an even integer?
Answer Choices: (A) 2q-p (B) 3p+q (C) 2p+3q (D) 4(p+q) (E) p+q^2<|im_end|>
<|im_start|>assistant
<think>
</think>
p is odd; for this assume p=1
q is even; for this assume q = 2
(2*2)-1 = 3 Odd
(3*1)+2 = ... | 39,424 |
<|im_start|>user
I chose a number and divide it by 4. Then I subtracted 175 from the result and got 10. What was the number I chose?
Answer Choices: (A) 200 (B) 740 (C) 780 (D) 500 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the number I chose, then
x/4−175=10
x/4=185
x=740
The answer is B<|endo... | 47,245 |
<|im_start|>user
Laura took out a charge account at the General Store and agreed to pay 7% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Answer Choices: (A) $2.10 (B) $37.10 (C) $37.45 (D) $38.10 (... | 31,788 |
<|im_start|>user
What percent of a day is ten hours?
Answer Choices: (A) 41.67% (B) 16x1/2% (C) 18x2/3% (D) 22x1/2% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Required percentage = (10/24100)%.
= 41.67%.
The answer is A<|endoftext|> | 28,958 |
<|im_start|>user
The equation a = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at a = -5, the equation for l is
Answer Choices: (A) + y + 15 = 0 (B) - 3x - 11 = 0 (C) + y - 16.5 = 0 (D) - y - 7 = 0 (E) + y + 13.5 = 0<|im_e... | 15,135 |
<|im_start|>user
An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?
Answer Choices: (A) 12.5 (B) 10.5 (C) 9.5 (D) 14.5 (E) None of them<|im_end|>
<|im_start|>assistant... | 5,453 |
<|im_start|>user
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Answer Choices: (A) 29798 (B) 27908 (C) 78902 (D) 25000 (E) 27991<|im_end|>
<|im_start|>assistant
<think>
</think>
25 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
25 = 1/100 * x => x
= 25000
The ans... | 5,855 |
<|im_start|>user
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-5)(x+4)(2X+5) = 0?
Answer Choices: (A) a) 1/12 (B) b) 1/6 (C) c) 1/4 (D) d) 1/3 (E) e) 1/2<|im_end|>
<|im_start|>a... | 39,684 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Everything you can buy is either a good or a service.
A good is something you can touch or hold in your hands. For example, a hammer is a good.
A service is a job you pay someone else to do. For example, cooking food in a re... | 2,324 |
<|im_start|>user
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 6 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Answer Choices: (A) 8 mph (B) 5.25 mph (C) 3.5 mph (D) 4 mph (E) 0.5 mph<|im_end|>
<|i... | 61,524 |
<|im_start|>user
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 26 km/hr. Find the total journey in km.
Answer Choices: (A) 220 km (B) 224 km (C) 230 km (D) 200 km (E) 234 km<|im_end|>
<|im_start|>assistant
<think>
</think>
0.5x/10 + 0... | 8,815 |
<|im_start|>user
The average weight of 12 person's increases by 4 kg when a new person comes in place of one of them weighing 58 kg. What is the weight of the new person?
Answer Choices: (A) 85 (B) 80 (C) 95 (D) 90 (E) 106<|im_end|>
<|im_start|>assistant
<think>
</think>
Total increase in weight =12 × 4 = 48
If x is ... | 19,788 |
<|im_start|>user
An electric motor makes 2,800 revolutions per minutes. How many degrees does it rotate in one second?
Answer Choices: (A) 16.800 d/sec (B) 28.000 d/sec (C) 38.000 d/sec (D) 26.000 d/sec (E) 35.000 d/sec<|im_end|>
<|im_start|>assistant
<think>
</think>
2800 revolutions / minute
= 2800*360 degrees / 60... | 33,437 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.