text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
36, 34, 30, 28, 24, 22, 18, ?
Answer Choices: (A) 16 (B) 14 (C) 12 (D) 10 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
This is an alternating number subtraction series. The pattern is -2, -4, -2, ....
The answer is A<|endoftext|> | 20,030 |
<|im_start|>user
Hal bought walnuts at 5 for $1 and apples at 4 for $1.He spent a total of $19.50 . He sells both at 20 for $5 and as a result gains $3 .How many walnuts did Hal buy ?
Answer Choices: (A) 50 (B) 45 (C) 60 (D) 80 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's start with the concrete info... | 10,980 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 1,845 |
<|im_start|>user
If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Answer Choices: (A) Rs.260 (B) Rs.360 (C) Rs.350 (D) Rs.364 (E) Rs.362<|im_end|>
<|im_start|>assistant
<think>
</think>
(A = 2/3 B and B = 1/4 C) = A/B =... | 95,978 |
<|im_start|>user
There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 3,900 milk chocolates per month, what was it one month ago?
Answer Choices: (A) 10,000 chocolates (B) 3000 chocolates (C) 8000 chocolates (D) 7000 chocolates (E) None of these<|im_end|>
<|im_start|... | 48,390 |
<|im_start|>user
In a nationwide poll, N people were interviewed. If 1/5 of them answered yes to question 1, and of those, 1/4 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Answer Choices: (A) N/9 (B) 8N/9 (C) 19N/20 ... | 77,746 |
<|im_start|>user
Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, 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 : 2 (C) 3: 4 (D) 1 : 2 (E) 4 : 3<|im_e... | 79,676 |
<|im_start|>user
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Answer Choices: (A) 33 (B) 38 (C) 99 (D) 27 (E) 71<|im_end|>
<|im_start|>assistant
<think>
... | 69,099 |
<|im_start|>user
A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?
Answer Choices: (A) 382 (B) 782 (C) 278 (D) 270 (E) 220<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the t... | 25,199 |
<|im_start|>user
When two coins are tossed,Find the probability of getting all tails?
Answer Choices: (A) 1/3 (B) 3/4 (C) 1/8 (D) 3/8 (E) 1/4<|im_end|>
<|im_start|>assistant
<think>
</think>
When two coins are tossed,
S = {HH, HT, TH, TT} where H = Head and T = Tail
Let E = event of getting all tails
Then E = {TT}
so... | 96,812 |
<|im_start|>user
Which type of cell division halves the number of chromosomes?
Answer choice: (A) fragmentation (B) budding (C) meiosis (D) mitosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Meiosis is a type of cell division that halves the number of chromosomes.
The answer is C<|endoftext|> | 10,960 |
<|im_start|>user
Which of the following inequalities is equivalent to –2 < y< 4 ?
Answer Choices: (A) | y– 2 | < 4 (B) | y– 1 | < 3 (C) | y+ 1 | < 3 (D) | y+ 2 | < 4 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
First remove the mod
then set the expression to 0
then get a value of y
then... | 76,147 |
<|im_start|>user
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
Answer Choices: (A) 360 (B) 227 (C) 268 (D) 198 (E) 176<|im_end|>
<|im_start|>assistant
<think>
</think>
12*8 :16*9 = 18*6
8: 12: 9
12/29 * 870 = 360
The... | 36,548 |
<|im_start|>user
A chair is bought for Rs.1000/- and sold at a loss of 20% find its selling price
Answer Choices: (A) Rs.800/- (B) Rs.510/- (C) Rs.515/- (D) Rs.530/- (E) Rs.540/-<|im_end|>
<|im_start|>assistant
<think>
</think>
Loss = 1000*20/100 = 200
S.P = C.P - Loss
= 1000- 200
=Rs.800/-
The answer is A<|endoftext... | 76,384 |
<|im_start|>user
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 8 sec, then the speed of each train is?
Answer Choices: (A) 54 (B) 77 (C) 36 (D) 88 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the speed of each train ... | 79,650 |
<|im_start|>user
Solution for 3.15+.014+.458
Answer Choices: (A) 3.622 (B) 3.911 (C) 4.938 (D) 2.986 (E) 2.999<|im_end|>
<|im_start|>assistant
<think>
</think>
3.15+.014+.458=0
0=0-3.15-0.014-0.458
0=-3.622
The answer is A<|endoftext|> | 79,143 |
<|im_start|>user
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of m... | 40,997 |
<|im_start|>user
A train is running at a speed of 40 km/hr and it crosses a post in
18 seconds. What is the length of the train?
Answer Choices: (A) 190 m (B) 150 m (C) 200 m (D) 140 m (E) 250 m<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 40 km/hr = 40 * 5/18 = 100/9 m/s
time = 18 sec
distance covered = ... | 34,835 |
<|im_start|>user
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 50,000 as total savings, how much has he saved in Public Provident Fund ?
Answer Choices: (A) Rs. 20,000 (B) Rs. 30,000 (C) Rs. 60,000 (D) Rs. 90,000 (E) None<|im_end... | 30,142 |
<|im_start|>user
The C.P of 20 books is equal to the S.P of 30 books. Find his gain% or loss%?
Answer Choices: (A) 63.33% (B) 34.33% (C) 33.33% (D) 31.33% (E) 36.33%<|im_end|>
<|im_start|>assistant
<think>
</think>
explanation:
20 CP = 30 SP
30 --- 10 CP loss
100 --- ? => 33.33% loss
The answer is C<|endoftext|> | 51,573 |
<|im_start|>user
A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class?
Answer Choices: (A) 1387 (B) 1768 (C) 1105 (D) 1286 (E) 2812<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
For smallest possible class strength, we consider LCM ... | 36,277 |
<|im_start|>user
A circular box kept around a circular place. If the difference between the circumference of the outer circle and the inner circle is 44m, find the width of the box?
Answer Choices: (A) 2 m (B) 3 m (C) 4 m (D) 7 m (E) 9 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let radius of the outer circle ... | 54,493 |
<|im_start|>user
Name the fibrous joint in which two parallel bones are united to each other by fibrous connective tissue.
Answer choice: (A) suture (B) cartilage (C) syndesmosis (D) gomphosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Syndesmosis A syndesmosis (“fastened with a band”) is a type of fibrous join... | 11,603 |
<|im_start|>user
12,31,?,129,220,347,516
Answer Choices: (A) 129 (B) 220 (C) 347 (D) 68 (E) 520<|im_end|>
<|im_start|>assistant
<think>
</think>
2*2*2 + 4 = 12
3*3*3 +4 = 31
5*5*5 + 4 = 129
6*6*6 + 4 = 220
7 *7 *7 + 4 = 347
8 *8 *8 + 4 = 516.
4*4*4 + 4 = 68
The answer is D<|endoftext|> | 83,212 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Informal writing is typically used in casual situations or when communicating with someone you know well. Informal language often expresses familiarity and tends to sound more like speech. It uses more conversational languag... | 776 |
<|im_start|>user
A carcinogen is nything in the environment that can cause what disease?
Answer choice: (A) glaucoma (B) alzheimers (C) diabetes (D) cancer<|im_end|>
<|im_start|>assistant
<think>
</think>
Some mutations that lead to cancer may be inherited. However, most of the mutations are caused by environmental f... | 10,269 |
<|im_start|>user
Two successive price increase of 10% and 10% of an article are equivalent to a single price increase of:
Answer Choices: (A) 26(2/3) (B) 25% (C) 21% (D) 33(1/3) (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution: 100----10%↑--→110---10%↑--→121.
Equivalent price increase = 21%.
The a... | 40,515 |
<|im_start|>user
Rajeev wants to reach Mankar station exactly at 11 am. At 9.15 am, his train departs from Howrah Station. The speed of the train is 100 km per hour and distance between Howrah and Mankar is 150 kilometre. At what time will Rajeev actually reach Mankar?
Answer Choices: (A) 10.45 am (B) 11.00 am (C) 11.1... | 34,856 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
The atmosphere is the layer of air that surrounds Earth. Both weather and climate tell you about the atmosphere.
Weather is what the atmosphere is like at a certain place and time. Weather can change quickly. For example, th... | 589 |
<|im_start|>user
In Company B, the total monthly payroll for the 20 factory workers is $36,000 and the total monthly payroll for the 50 office workers is $110,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a factory worker in this company?
Answer Choices: (A) $400 ... | 12,106 |
<|im_start|>user
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Answer Choices: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50<|im... | 57,915 |
<|im_start|>user
Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 28 have long fur, 17 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Answer Choices: (A) 26 (B) 19 (C) 11 (D) 8 ... | 66,962 |
<|im_start|>user
The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given that A+B = 13 + B + C
=> A ? C = 13 + B ? B = 13
=> C is younger than A by ... | 4,517 |
<|im_start|>user
There are 25 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
Answer Choices: (A) 10 (B) 20 (C) 40 (D) 50 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
12 kids wear socks
8 kids wear shoes
6 wear both.
12 – 6 = 6 (we... | 11,565 |
<|im_start|>user
Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
Answer Choices: (A) P(E) =0.43 (B) 0.36 (C) 0.31 (D) 0.52 (E) 0.63<|im_... | 10,663 |
<|im_start|>user
Evaluate combination
96C94=96!/(94)!(2)!
Answer Choices: (A) 6170 (B) 5560 (C) 4170 (D) 4560 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
nCr=n!/(r)!(n−r)!
96C94=96!/(94)!(2)!
=96*95*94!/(94)!(2)!
=96*95/2∗1
=4560
Option D
The answer is D<|endoftext|> | 84,713 |
<|im_start|>user
The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Answer Choices: (A) 124 m2 (B) 126 m2 (C) 136 m2 (D) 158 m2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the outer ... | 5,738 |
<|im_start|>user
If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?
Answer Choices: (A) 36 kmh (B) 40 kmh (C) 42 kmh (D) 44 kmh (E) 34 kmh<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume ... | 92,008 |
<|im_start|>user
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
Answer Choices: (A) 7, 9, 29 (B) 7, 2, 10 (C) 7, 9, 10 (D) 7, 9, 11 (E) 7, 9, 29<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
... | 783 |
<|im_start|>user
A man complete a journey in 30 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 10 km/hr. Find the total journey in km.
Answer Choices: (A) 220 km (B) 224 km (C) 230 km (D) 400 km (E) 234 km<|im_end|>
<|im_start|>assistant
<think>
</think>
0.5x/20 + 0... | 9,382 |
<|im_start|>user
Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temperature of the particular day is 35°C , it is equal to
Answer Choices: (A) 40 (B) 80 (C) 95 (D) 100 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively... | 293 |
<|im_start|>user
There are four temples, one plant of flower and a pond.
A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.
The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the p... | 62,073 |
<|im_start|>user
A man sells a horse for Rs. 700 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Answer Choices: (A) 27 (B) 98 (C) 93.3 (D) 96.2 (E) 90.1<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = SP + 1CP = SP - g
700 + ... | 29,107 |
<|im_start|>user
If z = 4p, where p is a prime number greater than 2, how many different positive even divisors does z have, including z ?
Answer Choices: (A) Two (B) Three (C) Four (D) Six (E) Eight<|im_end|>
<|im_start|>assistant
<think>
</think>
z=4p
since z = 4p thenevendivisors are:
4p/4p= 1
4p/2p= 2
4p/4= ... | 30,755 |
<|im_start|>user
The average of 50 numbers id 56. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Answer Choices: (A) 22.35 (B) 33.25 (C) 22.25 (D) 51.35 (E) 56.25<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total of 50 numbers = (50×56)=2800
Total of 48 num... | 59,819 |
<|im_start|>user
Working together at their respective constant rates, Machine A and Machine B can produce 600 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 600 unit total would it produce?
Answer... | 80,200 |
<|im_start|>user
Bhuvnesh invests an amount for n years. If the rate of interest is 25% it becomes Rs. 5000. If the rate of interest is 5% it becomes Rs. 3000. For how long it is invested?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
n = ((p1-p2)/(p2r1-p... | 94,543 |
<|im_start|>user
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Answer Choices: (A) 20% (B) 40% (C) 50% (D) 80% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
C
50%
L.C.M of 15 and 12 = 60
CP of 60 articles = Rs. 100 (25 * 4)
SP of 60 articles = Rs. 1... | 61,120 |
<|im_start|>user
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
THEN ;
7+2+5 = ?
Answer Choices: (A) 253547 (B) 143681 (C) 143547 (D) 147614 (E) 255547<|im_end|>
<|im_start|>assistant
<think>
</think>
C
143547
The answer is C<|endoftext|> | 85,456 |
<|im_start|>user
A man sitting in a train which is traveling at 60 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
Answer Choices: (A) 52 kmph (B) 58 kmph (C) 62 kmph (D) 65 kmph (E) 75 kmph<|im_end|>
<|im_start|>assistan... | 47,858 |
<|im_start|>user
Into a bag there are 20 honey and 5 cherry candies. If a boy pick only two candies simultaneous and randomly, what is the probability that he picks one candy of each flavor?
Answer Choices: (A) 2/25 (B) 1/50 (C) 1/12 (D) 1/6 (E) 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
We are told th... | 67,784 |
<|im_start|>user
If the average marks of three batches of 56, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Answer Choices: (A) 54.48 (B) 54.68 (C) 54.65 (D) 54.58 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(56×50)+(60×55)+(45×60)/... | 42,110 |
<|im_start|>user
When hot water gently rises to the surface, it creates a what?
Answer choice: (A) steam cloud (B) hot spring (C) volcano (D) fissure<|im_end|>
<|im_start|>assistant
<think>
</think>
When hot water gently rises to the surface, it creates a hot spring . A hot spring forms where a crack in the Earth all... | 5,171 |
<|im_start|>user
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Answer Choices: (A) 4630 (B) 4920 (C) 5120 (D) 7960 (E) 8960<|im_end|>
<|im_start|>assista... | 8,403 |
<|im_start|>user
Find the least number of complete years in which a sum of money put out at 13% compound interest will be more than double of itself?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
6 years
The answer is B<|endoftext|> | 32,856 |
<|im_start|>user
852.68 − 4.5 + 108.94 = ? − 2132.54
Answer Choices: (A) 6078.58 (B) 5225.9 (C) 6078.54 (D) 6088.58 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Option 'C'
The answer is C<|endoftext|> | 97,184 |
<|im_start|>user
By selling 10 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%?
Answer Choices: (A) 8.39 (B) 6.39 (C) 7.39 (D) 9.39 (E) 2.39<|im_end|>
<|im_start|>assistant
<think>
</think>
85% --- 10
115% --- ?
85/115 * 10 = 7.39
The answer is C<|endoftext|> | 72,886 |
<|im_start|>user
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Answer Choices: (A) 6.24 km (B) 6 km (C) 5.76 km (D) 5.66 km (E) 7 km<|im_end|>
<|im_start|>assistant
<think>
</think>
M = 6
S =... | 68,960 |
<|im_start|>user
The average weight of a group of boys is 20 kg. After a boy of weight 32 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Answer Choices: (A) 12 (B) 11 (C) 18 (D) 24 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the n... | 13,068 |
<|im_start|>user
Which of the following is the best approximation for y?
1/2−1/3+1/6−1/10+1/12−1/14+1/16
Answer Choices: (A) 0.1 (B) 0.31 (C) 0.35 (D) 0.4 (E) 0.6<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 - 1/3 +1/6-1/10+1/12-1/14+1/16
=> 1/2 [1+1/3-1/5+1/6-1/7+1/8] - 1/3
=> 0.5 [ 1+0.33-0.2+0.167-0.142+0.... | 49,943 |
<|im_start|>user
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 5,000 and at the same time n is a perfect square and a perfect cube?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6<|im_end|>
<... | 49,291 |
<|im_start|>user
Pipe A fills a tank in 6 minutes. Pipe B can fill the same tank 2 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Answer Choices: (A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0 (E) 2.5<|im_end|>
<|im_start|>assistant
<think>
</think>
A... | 75,573 |
<|im_start|>user
What is the measure of electric current?
Answer choice: (A) ampheres (B) intensity (C) watts (D) volts<|im_end|>
<|im_start|>assistant
<think>
</think>
One advantage of anaerobic respiration is obvious. It lets organisms live in places where there is little or no oxygen. Such places include deep wate... | 6,457 |
<|im_start|>user
In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 16 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
Answer Choices: (A) 15 (B) 25 (C) 30 (D) 45... | 5,502 |
<|im_start|>user
The area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is?
Answer Choices: (A) 8.78 (B) 11.25 (C) 8.75 (D) 8.98 (E) 8.28<|im_end|>
<|im_start|>assistant
<think>
</think>
(5 * 4.5)/2
= 11.25
The answer is B<|endoftext|> | 31,568 |
<|im_start|>user
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Answer Choices: (A) Rs. 8167 (B) Rs. 4261 (C) Rs. 4269 (D) Rs. 4266 (E) Rs. 4262<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
CI = 14800{ [ 1 ... | 49,026 |
<|im_start|>user
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 10 seconds. Find the length of the faster train?
Answer Choices: (A) 270 (B) 288 (C) 100 (D) 299 (E) 126<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = (72 - 36... | 66,047 |
<|im_start|>user
What is the remainder when the infinite sum (1!)² + (2!)² + (3!)² + ··· is divided by 1152?
Answer Choices: (A) 12 (B) 41 (C) 152 (D) 802 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
We have to find out the remainder when (1!)² + (2!)² + (3!)² + ··· is divided by 1152
1152 ... | 2,128 |
<|im_start|>user
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Answer Choices: (A) 4 (B) 6 (C) 8 (D) 5 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let rate = R% and ... | 25,625 |
<|im_start|>user
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 5 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J... | 92,666 |
<|im_start|>user
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
Answer Choices: (A) 2197 feet (B) 2420 feet (C) 2500 feet (D) 2629 feet (E) None of these<|im_end|>
<|im_start|>a... | 53,439 |
<|im_start|>user
A room has equal number of men and women. Eight women left the room, leaving twice as many men as women in the room . What was the total number of men and women present in the room initially?
Answer Choices: (A) 32 (B) 34 (C) 28 (D) 30 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanati... | 61,821 |
<|im_start|>user
What is light with wavelengths shorter than visible light called?
Answer choice: (A) weathering light (B) infrared light (C) radio waves (D) ultraviolet light<|im_end|>
<|im_start|>assistant
<think>
</think>
Light with wavelengths shorter than visible light is called ultraviolet light . The term ultr... | 1,273 |
<|im_start|>user
Mr X invested an amount for 2 years @ 15 p.c.p.a at simple interest. Had the interest been compounded, he would have earned 450/- more as interest. What was the amount invested?
Answer Choices: (A) 22000 (B) 24000 (C) 25000 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 79,955 |
<|im_start|>user
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Answer Choices: (A) 76 (B) 42 (C) 17 (D) 14 (E) 44<|im_end|>
<|im_start|>assistant
<think>
</think>
5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 420... | 60,563 |
<|im_start|>user
A tap can fill a tank in 12 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Answer Choices: (A) 13 hrs 30 mins (B) 14 hrs 30 mins (C) 15 hrs 30 mins (D) 16 hrs 30 mins (E) 17 hrs 30 mins<|im_end|>
<|im_start|>assistant
<... | 56,465 |
<|im_start|>user
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $57000 and Ingrid makes $72000, what is their combined tax rate?
Answer Choices: (A) 32% (B) 34.4% (C) 35% (D) 35.6% (E) 36.4%<|im_end|>
<|im_start|>assistant
<think>
</think>
(1) When 30 and 40 has equal weight or weight = 1/2... | 11,023 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought that can stand alone as a sentence. A dependent clause (or subordinate clause) is not a complete thought ... | 6,309 |
<|im_start|>user
In how many ways can the letters of the word RECPECT be arranged?
Answer Choices: (A) 1206 (B) 1348 (C) 2520 (D) 3000 (E) 3478<|im_end|>
<|im_start|>assistant
<think>
</think>
RECPECT has 7 words, but E is repeated two times. Thus ways = 7! / 2! = 2520 ways
C
The answer is C<|endoftext|> | 47,638 |
<|im_start|>user
one person Tharak speed with the current is 10 km/hr and the speed of the current is 5 km/hr. Tharak's speed against the current is:
Answer Choices: (A) 0 km/hr (B) 1 km/hr (C) 2 km/hr (D) 3 km/hr (E) 4 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Man's speed with the current = 10 km/hr
=> ... | 12,542 |
<|im_start|>user
In a 20 litre mixture ratio of milk and water is 3:1.how much milk should added so that mixture ratio Become 4:1?
Answer Choices: (A) 3 (B) 2 (C) 8 (D) 6 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount of milk=20×3/4=15 litre and water= 5 litre
Let x litre milk to be added
Then 15+x/5=4... | 64,686 |
<|im_start|>user
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (6,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Answer Choices: (A) (4,3) (B) (... | 15,045 |
<|im_start|>user
The set X = {10,11,12,13,14}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
Answer Choices: (A) 7/20 (B) 3/20 (C) 7/10 (D) 3/10 (E) 3/5<|im_end|>
<|im_start|>assistant
<think>
</think>
The t... | 27,137 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Chemical changes and physical changes are two common ways matter can change.
In a chemical change, the type of matter changes. The types of matter before and after a chemical change are always different.
Some chemical change... | 5,955 |
<|im_start|>user
A man has Rs. 80 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) 15 (B) 60 (C) 75 (D) 90 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
Answe... | 40,060 |
<|im_start|>user
If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^4+b is always even number. 2. a^2*b is always even number 3. (a + b) is always an odd number.
Answer Choices: (A) III only (B) II only (C) I,II only (D) I,III only (E) I only<|im_end|>
<|im_start|>assistan... | 84,390 |
<|im_start|>user
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a half of its new value. What is the stock's value at the end of Monday?
Answer Choices: (A) X. (B) X/2. (C) 2X/3. (D) 3X/4. (E) X/4.<|im_end|>
<|im_start|>assistant
<think>
</t... | 64,313 |
<|im_start|>user
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Answer Choices: (A) 1/26 (B) 1/27 (C) 1/22 (D) 1/21 (E) 1/29<|im_end|>
<|im_start|>assistant
<think>
</think>
Let E1 be the event of drawing a red ... | 7,424 |
<|im_start|>user
a man leaves office daily at 7 pm, a driver with car comes from his home to pick up him from office and bring back home.one day he gets free at 5:30 pm....,instead of waiting for car ,he starts walking towards his home,on the way he meets the car and returns home by car,he reaches home 20 minutes earli... | 40,022 |
<|im_start|>user
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
Answer Choices: (A) 6.25 (B) 6.28 (C) 6.11 (D) 6.19 (E) 6.21<|im_end|>
<|im_start|>assistant
<think>
</think>
Required run rate
= [282 - (3.2 * 10)]/4... | 72,914 |
<|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) 16 km/hr (B) 50 km/hr (C) 19 km/hr (D) 15 km/hr (E) 87 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relativ... | 81,163 |
<|im_start|>user
Evaluate : (313 x 313 + 287 x 287).
Answer Choices: (A) 180338 (B) 108338 (C) 180383 (D) 180833 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
(a^2 + b^2) = 1/2 [(a + b)^2 + (a- b)^2]
(313)^2 + (287)^2 = 1/2 [(313 + 287)^2 + (313 - 287)^2] = ½[(600)^2 + (26)^2]
= 1/2 (360000 + 676)... | 15,078 |
<|im_start|>user
Two distinct numbers a and b are chosen randomly from the set of first 20 positive integers. What is the probability that |a–b| would not be divisible by 3?
Answer Choices: (A) 49/380 (B) 21/95 (C) 49/190 (D) 42/95 (E) 133/190<|im_end|>
<|im_start|>assistant
<think>
</think>
Any number could be writt... | 10,947 |
<|im_start|>user
Noelle walks from point A to point B at an average speed of 3 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 4 kilometers per hour?
Answer Choices: (A) 5.75 (B) 6 (C) 7.25 (D) 7.5 (E) 7.75<|im_end|>
<... | 27,438 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All living things are made up of cells. Plants, animals, and some fungi have many cells. Other living things are made up of just one cell.
All living things need food and water. Water helps living things break down food and ... | 1,690 |
<|im_start|>user
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Answer Choices: (A) Rs.2205 (B) Rs.2200 (C) Rs.2160 (D) Rs.2040 (E) Rs.2050<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 2000(21/20)2 = 2205
The ans... | 77,601 |
<|im_start|>user
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Answer Choices: (A) 22 (B) 56 (C) 88 (D) 266 (E) 212<|im_end|>
<|im_start|>assistant
<think>
</think>
1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
... | 95,556 |
<|im_start|>user
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 1 players can be selected from each team?
Answer Choices: (A) 150 (B) 200 (C) 121 (D) 140 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
Now from each group we have... | 93,293 |
<|im_start|>user
An article is bought for Rs.823 and sold for Rs.1000, find the gain percent?
Answer Choices: (A) 21.4% (B) 21.5% (C) 21.6% (D) 21.7% (E) 21.8%<|im_end|>
<|im_start|>assistant
<think>
</think>
823 ---- 177
100 ---- ? => 21.5%
The answer is B<|endoftext|> | 65,555 |
<|im_start|>user
Historically, certain bacteriophages have also been used as cloning vectors for making what?
Answer choice: (A) specific libraries (B) diverse libraries (C) genomic libraries (D) ultraviolet libraries<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 10,278 |
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