text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
What least whole no. should be added to 532869 to make it divisible by 9?
Answer Choices: (A) 6 (B) 7 (C) 9 (D) 10 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 5+3+2+8+6+9=33, the next multiple of 9 is 36.
... | 17,786 |
<|im_start|>user
The measures of the 2 acute angles of a triangle are in the ratio of 3 : 7. What arethe measures of the 2 angles?
Answer Choices: (A) 20° (B) 70° (C) 110° (D) 63° (E) 140°<|im_end|>
<|im_start|>assistant
<think>
</think>
If the ratio of the two angles is 3:7, then the measures of two angles can be wr... | 8,984 |
<|im_start|>user
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
Answer Choices: (A) 376 (B) 286 (C) 126 (D) 297 (E) 864<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the th... | 86,747 |
<|im_start|>user
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 8 slices per customer. How many slices cannot be bought?
Answer Choices: (A) 42. (B) 38. (C) 33. (D) 22. (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let X pizzas of 5 slices and Y pizzas of 8 slices.... | 83,155 |
<|im_start|>user
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2011, a newborn Khazarian 1 year later, and... | 19,878 |
<|im_start|>user
The sum of number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Answer Choices: (A) 50 (B) 40 (C) 60 (D) 100 (E) 70<|im_end|>
<|im_start|>assistant
<think>
</think>
We have x+x% of 150 = 15... | 15,084 |
<|im_start|>user
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Answer Choices: (A) 20 min (B) 30 min (C) 45 min (D) 40 min (E) 70 min<|im_end|>
<|im_start|... | 38,378 |
<|im_start|>user
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.20286/- in 3 years at the same rate of interest. Find the rate percentage?
Answer Choices: (A) 5% (B) 7% (C) 9% (D) 15% (E) 12%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
The difference of two successive amounts... | 4,174 |
<|im_start|>user
If x and y are prime numbers, which of the following CAN be the sum of x and y?
Answer Choices: (A) 5 (B) 8 (C) 12 (D) 15 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 2,300 |
<|im_start|>user
If 140/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
Answer Choices: (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I t... | 96,492 |
<|im_start|>user
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2^i * 3^k * 5^m * 7^p, then i + k + m + p =
Answer Choices: (A) 4 (B) 7 (C) 8 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that x=8!=2^7∗3^2∗5∗7x. Hen... | 57,879 |
<|im_start|>user
The X&co having such a sales structure out of their whole sales 70% of the customers are corporate companies out of these 20% of them are related to banking sector and 60% of the corporate companies related to banking sector having their head quarters in USA. If total sales of the company X&co is 100 c... | 61,774 |
<|im_start|>user
What is the most common type of brain injury?
Answer choice: (A) Diffuse Axonal (B) concussion (C) Anoxic Event (D) Contusion<|im_end|>
<|im_start|>assistant
<think>
</think>
The most common type of brain injury is a concussion. This is a bruise on the surface of the brain. It may cause temporary sym... | 3,324 |
<|im_start|>user
What type of disease is muscular dystrophy?
Answer choice: (A) contagious disease (B) mutation (C) a wasting disease (D) infectious disease<|im_end|>
<|im_start|>assistant
<think>
</think>
Muscular dystrophy is a term encompassing a variety of muscle wasting diseases. The most common type, Duchenne M... | 4,167 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 2,421 |
<|im_start|>user
If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
Answer Choices: (A) 25% increase (B) 25% decrease (C) 50% increase (D) 50% decrease (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Length is halved.
i.e., length is de... | 3,378 |
<|im_start|>user
A train travels from station A to station B. If it travels at a speed of 80 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and w... | 65,682 |
<|im_start|>user
What is the highest integer that is the sum of 2 distinct prime integers, each lesser than 60 ?
Answer Choices: (A) 107 (B) 112 (C) 113 (D) 129 (E) 136<|im_end|>
<|im_start|>assistant
<think>
</think>
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other t... | 27,718 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 3,345 |
<|im_start|>user
In how many ways the letters of the word LOOC be arranged?
Answer Choices: (A) 8 (B) 9 (C) 12 (D) 14 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
In this four letters means 4! = 24 ways
But 'O' is repeated two times.
And thus we divide the final ways by 2. I.e. there are only 24/2 = 12 way... | 8,282 |
<|im_start|>user
Two dice are rolled. What is the probability the sum will be greater than 8?
Answer Choices: (A) 2/9. (B) 1/12. (C) 5/36. (D) 7/36. (E) 1/5.<|im_end|>
<|im_start|>assistant
<think>
</think>
Combinations possible: (6,6) , (5,6) , (6,5) , (4,6), (6,4) , (5,5) , (5,4), (4,5) = 8
Total combinations possi... | 55,782 |
<|im_start|>user
A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 68 km downstream?
Answer Choices: (A) 3 hours 30 minutes (B) 3 hours (C) 4 hours (D) 5 hours (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Speed... | 82,347 |
<|im_start|>user
Calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 8, 11 and 15 seconds. ?
Answer Choices: (A) 1310 (B) 1320 (C) 1322 (D) 1323 (E) 1312<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM of 5, 8, 11 ... | 64,418 |
<|im_start|>user
What functions as a framework that reinforces the shape of the leaf?
Answer choice: (A) the normal structure (B) the central structure (C) the stylised structure (D) the vascular structure<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 10,261 |
<|im_start|>user
In a apartment, 20% of the people speak English, 60% speak Hindi and 60% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Answer Choices: (A) 1/5 (B) 2/3 (C) 2/5 (D) 2/7 (E) 2/9<|im_end|>
<|im_start|>assistant
<think>
</think>
P (E) = 20 / 100... | 97,419 |
<|im_start|>user
Photoautotrophs including (a) plants, (b) algae, and (c) cyanobacteria synthesize their organic compounds via photosynthesis using sunlight as this?
Answer choice: (A) light source4 (B) heating source (C) fuel source (D) energy source<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 8.2 Photoa... | 4,668 |
<|im_start|>user
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Answer Choices: (A) 189km (B) 195km (C) 197km (D) 200km (E) 205km<|im_end|>
<|im_start|>assistant
<think>
</think>
14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed... | 78,334 |
<|im_start|>user
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 13 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the numbe... | 80,031 |
<|im_start|>user
What is the units digit of 63^3 * 17^3 * 49^3?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
The units digit of 63^3 is the units digit of 3*3*3 = 27 which is 7.
The units digit of 17^3 is the units digit of 7*7*7 = 343 which is 3.
The units digit of 4... | 6,684 |
<|im_start|>user
In a weight-lifting competition, the total weight of Joe's two lifts was 450 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Answer Choices: (A) 250 (B) 275 (C) 325 (D) 350 (E) 400<|im_end|>
<|im_st... | 3,394 |
<|im_start|>user
In certain populations, some of the chromosomes have become what?
Answer choice: (A) fused (B) elongated (C) composed (D) dissolved<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 2,498 |
<|im_start|>user
The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man. What is the weight of the new man?
Answer Choices: (A) 80 kg (B) 83 kg (C) 70 kg (D) 75 kg (E) 85 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the average has increased... | 90,119 |
<|im_start|>user
A van takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Answer Choices: (A) 50 Kmph (B) 30 Kmph (C) 70 Kmph (D) 80 Kmph (E) 90 Kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Time = 6
Distence ... | 82,270 |
<|im_start|>user
Eleven animals of a circus has to be placed inside in eleven cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Answer Choices: (A) 604800 (B) 808250 (C) 502450 (D) 784200 (E) 302400<|im_end|>
<|im_start|>assistant
<think>
</th... | 85,779 |
<|im_start|>user
in a party 65% of women wearing black tshirts 50% of the total people in party wearing black t shirts ,then what is the ratio of male is to female.35% of the man wearing black t shirs. There are 120 people in the party.
Answer Choices: (A) 1:1 (B) 1:2 (C) 1:3 (D) 1:4 (E) 1:5<|im_end|>
<|im_start|>assis... | 10,506 |
<|im_start|>user
A car travels from P to Q at a constant speed. If its speed were increased by 20km/hr, it would have taken two hour lesser to cover the distance. It would have taken further 30 minutes lesser if the speed was further increased by 10 km/hr. The distance between the two cities
Answer Choices: (A) 100 km ... | 33,067 |
<|im_start|>user
Each factor of 220 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 55?
Answer Choices: (A) 1/16 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/4<|im_end|>
<|im_start|>assi... | 51,019 |
<|im_start|>user
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, C receives :
Answer Choices: (A) 14700 (B) 16800 (C) 37798 (D) 13777 (E) 14778<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C = x. Then,... | 77,049 |
<|im_start|>user
One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field in meter square
Answer Choices: (A) 100 (B) 110 (C) 120 (D) 130 (E) 140<|im_end|>
<|im_start|>assistant
<think>
</think>
Other side = ((17) 2- (15)2)(1/2)
= (289- 225)(1/2)
= (64)(1/2)
= 8 m.
Area = (... | 90,869 |
<|im_start|>user
A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Answer Choices: (A) 4/78 (B) 7/15 (C) 15/7 (D) 5/8 (E) 3/7<|im_end|>
<|im_start|>assistant
<think>
</think>
LET S BE THE SAMPLE SPACE
THEN N(S)=NO OF WAYS OF DRAWING 2 BALLS OUT O... | 38,644 |
<|im_start|>user
If a copier makes 2 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 8,000 copies?
Answer Choices: (A) 266.67 (B) 130 (C) 140 (D) 135 (E) 141<|im_end|>
<|im_start|>assistant
<think>
</think>
2 copies 4 seconds
8000 copies = (8000*4)/2 seconds
= 16000/60 minut... | 38,239 |
<|im_start|>user
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 80% profit?
Answer Choices: (A) 1152 (B) 230 (C) 960 (D) 780 (E) 400<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. = Rs. x.
The... | 80,768 |
<|im_start|>user
x percent of y percent of z is decreased by y percent, What is the result?
Answer Choices: (A) (100xyz - xy^3z) / 1,000,000 *(-1/48) (B) (xz - y) / 100 (C) (xz - y) / 10,000 (D) (xyz - 2y) / 100 (E) (xyz - 2y) / 10,000<|im_end|>
<|im_start|>assistant
<think>
</think>
We're told that X percent o... | 57,999 |
<|im_start|>user
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
Answer Choices: (A) 650 (B) 656 (C) 696 (D) 724 (E) 756<|im_end|>
<|im_start|>assistant
<think>
</think>
From a group of 7 men and... | 4,489 |
<|im_start|>user
In a camp, there is a meal for 60 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Answer Choices: (A) 41 (B) 16 (C) 18 (D) 20 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
E
15
There is a meal for 200 children.
150 children have... | 25,910 |
<|im_start|>user
IN Common Wealth Games an athlete runs 280 meters in 24 seconds. Hisspeed is ?
Answer Choices: (A) 25 km/hr (B) 42.42 km/hr (C) 30 km/hr (D) 32 km/hr (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
(280/1000)/(24/3600)=42.42 km/hr
The answer is B<|endoftext|> | 36,249 |
<|im_start|>user
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.5100. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
Answer Choices: (A) s.750, Rs.2250 (B) s.2000, Rs.750 (C) s.750, Rs.2000 (D) s.850, Rs.2550 (E) s.950, Rs.1250... | 59,808 |
<|im_start|>user
The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Answer Choices: (A) 33 (B) 18 (C) 21 (D) 12 (E) 19<|im_end|>
<|im_start|>assistant
<think>
</think>
Present age of total member... | 46,030 |
<|im_start|>user
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre
Answer Choices: (A) Rs680 (B) Rs780 (C) Rs880 (D) Rs480 (E) Rs980<|im_end|>
<|im_start|>assistant
<think>
</think>
area of the plot=110m*65m... | 94,164 |
<|im_start|>user
Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to ... | 37,135 |
<|im_start|>user
Bacteria are responsible for many types of what in humans?
Answer choice: (A) diseases (B) colors (C) smells (D) food<|im_end|>
<|im_start|>assistant
<think>
</think>
Bacteria are responsible for many types of diseases in humans.
The answer is A<|endoftext|> | 8,304 |
<|im_start|>user
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Answer Choices: (A) 65 km/hr (B) 17 km/hr (C) 55 km/hr (D) 50 km/hr (E) 15 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the train relative t... | 97,384 |
<|im_start|>user
If x+y=20, x-y=36, for integers of x and y, x=?
Answer Choices: (A) 20 (B) 25 (C) 28 (D) 20 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
x+y = 20
x-y = 36
2x =56
x = 28
The answer is C<|endoftext|> | 83,651 |
<|im_start|>user
Evaluate 28% of 450 + 45% of 260
Answer Choices: (A) 232 (B) 243 (C) 252 (D) 262 (E) 282<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
= (28/100) * 450 + (45/100) * 260
= 126 + 117 = 243
The answer is B<|endoftext|> | 78,298 |
<|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. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 167 |
<|im_start|>user
10x + 2y = -6
2x + y = 3
In the system of equations above, what is the value of x?
Answer Choices: (A) 3 (B) 2 (C) 1 (D) -1 (E) -2<|im_end|>
<|im_start|>assistant
<think>
</think>
10x + 2y = -6 can be written as 5x + y = -3
Let's subtract the second equation from this equation.
3x = -6
x = -2
The ans... | 20,951 |
<|im_start|>user
In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Answer Choices: (A) 5/6 (B) 5/9 (C) 5/0 (D) 5/3 (E) 5/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let us say the r... | 41,816 |
<|im_start|>user
.002/?= .01
Answer Choices: (A) .2 (B) .09 (C) .009 (D) .0009 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let .002/x = .01;
Then x = .002/.01
= .2/1
= .2
The answer is A<|endoftext|> | 65,396 |
<|im_start|>user
a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a - b'?
Answer Choices: (A) 28 (B) 29 (C) 34 (D) 38 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
possible values of a and b can be 5,4; ... | 69,837 |
<|im_start|>user
The mean of four integers L will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
... | 33,682 |
<|im_start|>user
What are the basic units of structure and function in living organisms?
Answer choice: (A) proteins (B) molecules (C) lipids (D) cells<|im_end|>
<|im_start|>assistant
<think>
</think>
All living things consist of one or more cells. Cells are the basic units of structure and function of living organis... | 5,556 |
<|im_start|>user
In store A there are 20 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned... | 41,125 |
<|im_start|>user
What amount does Kiran get if he invests Rs.4500 at 10% p.a. compound interest for three years, compounding done annually?
Answer Choices: (A) 2999 (B) 2787 (C) 2097 (D) 5989 (E) 2886<|im_end|>
<|im_start|>assistant
<think>
</think>
A= P{1 + R/100}n
=> 4500{1 + 10/100}3
= Rs.5989
The answer is D<|end... | 12,850 |
<|im_start|>user
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 7 books and the last shelf contained 11 books, how many shelves does the bookcase have?
Answer Choices: (A) 7 (B) 6 (C) 4 (D) 5 (E) 3<|im_end|>
<|im_s... | 80,674 |
<|im_start|>user
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Answer Choices: (A) 33 1/9% (B) 33 1/2% (C) 33 1/3% (D) 33 5/3% (E) 35 1/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
675 ---- 225
100 ---- ? => 33 1/3%
The answer is C<|endoftext|> | 16,892 |
<|im_start|>user
if 3rd ter, and 9th term is 8 in a.p,then find the 11th term
Answer Choices: (A) 61 (B) 62 (C) 63 (D) 64 (E) 65<|im_end|>
<|im_start|>assistant
<think>
</think>
a3=a1+(3-1)d
8=a1+2d.....(1)equ.
a9=a1+(9-1)d
8=a1+8d....(2)equ.
solve (1) and (2) then a1=4 and d=6.
a11=a1+(11-1)d
a11=4+10*6
a11=64.
The ... | 16,511 |
<|im_start|>user
In the quadrilateral PQRS d=6 cm, h1=5 cm and
h2=2.5 cm. Find the area
Answer Choices: (A) 21 (B) 22.5 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
area of quad.=1/2*any diagonal*(sum of 2 perpendiculars which is drawn on that diagona)
so 1/2*6*(5+2.5)=22.5
The answer is B<|e... | 89,677 |
<|im_start|>user
The price of a car is marked at $12,000. If the car has successive discounts of 20%, 15% and 5%, then at what price does a customer buy the car?
Answer Choices: (A) $7524 (B) $7752 (C) $7880 (D) $8196 (E) $8324<|im_end|>
<|im_start|>assistant
<think>
</think>
0.95*0.85*0.8*12000 = $7752
The answer is... | 28,110 |
<|im_start|>user
Robert can row a boat at 15 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 80 km downstream?
Answer Choices: (A) 80/15 (B) 80/17 (C) 80/19 (D) 80/21 (E) 80/23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 15+4=19 kmph.
Time... | 16,222 |
<|im_start|>user
Which of the following numbers has four distinct prime factors?
Answer Choices: (A) 204 (B) 231 (C) 308 (D) 320 (E) 390<|im_end|>
<|im_start|>assistant
<think>
</think>
204=2^2*3*17
231=3*7*11
308=2^2*77
320=2^6*5
390=2*3*5*13
390 has 4 distinct prime factors
The answer is E<|endoftext|> | 11,991 |
<|im_start|>user
A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Answer Choices: (A) 17 (B) 16 (C) 28 (D) 13 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
1/14 - 1/28 = 1/28
28 minut... | 90,630 |
<|im_start|>user
How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
Answer Choices: (A) 6 ways (B) 7 ways (C) 9 ways (D) 11 ways (E) 13 ways<|im_end|>
<|im_start|>assistant
<think>
</think>
E,I fixed. Consonants can be arrangements in 3P3 = 3! = 6... | 47,395 |
<|im_start|>user
Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Y miles will Tom drive before Karen wins the bet?
Answer Choices: (A) 15 (B) 1... | 63,688 |
<|im_start|>user
In a graduating class, 40 percent of the students are male. In this class, 40 percent of the male students and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years o... | 90,070 |
<|im_start|>user
What are electromagnetic waves with the longest wavelengths called?
Answer choice: (A) channel waves (B) sound waves (C) radio waves (D) infrared waves<|im_end|>
<|im_start|>assistant
<think>
</think>
Electromagnetic waves on the left side of the Figure above are called radio waves. Radio waves are e... | 9,629 |
<|im_start|>user
If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 5, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18
Answer Choices: (A) II only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<th... | 5,938 |
<|im_start|>user
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Answer Choices: (A) 8000 (B) 9000 (C) 7000 (D) 10000 (E) 11000<|im_end|>
<|im_start|>assista... | 4,135 |
<|im_start|>user
Paul and Jack are 2 mechanics who work 8 hours per day changing oil in cars at The Oil Spot. If Paul can change oil in 2 cars per hour, and Jack can change oil in 3 cars per hour. What is the least number of cars per work day the 2 men can finish?
Answer Choices: (A) 50 (B) 40 (C) 35 (D) 10 (E) 90<|im_... | 17,534 |
<|im_start|>user
Two pipes P and Q can fill a tank in 4 hours and 5 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer Choices: (A) 4 hours 20 min (B) 5 hours 49 min (C) 3 hours 50 min (D) 3 hours 22 min (E) 2 hours 13 min<|im_end|>
<|im_start|>assistant
<t... | 1,339 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Imagine being told that a pencil is 16 long. You might be thinking, 16 what? Is the pencil 16 cen... | 4,523 |
<|im_start|>user
An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Answer Choices: (A) 21 (B) 22 (C) 36 (D) 20 (E) 30<|im_end|>
<|im_start|>assist... | 27,926 |
<|im_start|>user
20 people with two sisters among them want to sit around a round table such that the two sisters are exactly separated by one person sitting in between them. Find the probability.
Answer Choices: (A) 1/19 (B) 2/29 (C) 3/29 (D) 4/29 (E) 5/29<|im_end|>
<|im_start|>assistant
<think>
</think>
20 people i... | 50,116 |
<|im_start|>user
List R contains five numbers that have an average value of 50. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Answer Choices: (A) 18 (B) 22 (C) 26 (D) 30 (E) 34... | 8,076 |
<|im_start|>user
In a school 10% of the boys are same in number as 1/3th of the girls. what is the ratio of boys to the girls in the school?
Answer Choices: (A) 5:2 (B) 2:3 (C) 10:3 (D) 3:7 (E) 2:5<|im_end|>
<|im_start|>assistant
<think>
</think>
10% of B = 1/3 G
10B/100 = G/3
B = 10G/3
B/G = 10/3
B:G = 10:3
The answ... | 72,366 |
<|im_start|>user
Plants need sunlight for what process?
Answer choice: (A) metamorphosis (B) cyclogenesis (C) glycolysis (D) photosynthesis<|im_end|>
<|im_start|>assistant
<think>
</think>
The water in a large lake may be so deep that sunlight cannot penetrate all the way to the bottom. Without sunlight, water plants... | 6,115 |
<|im_start|>user
You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?
Answer Choices: (A) helicopt... | 39,738 |
<|im_start|>user
Which measure indicates the number of electrons in a given sublevel?
Answer choice: (A) subscripts (B) mole (C) coefficients (D) superscripts<|im_end|>
<|im_start|>assistant
<think>
</think>
There are no forces of attraction or repulsion between gas particles . Attractive forces are responsible for p... | 2,708 |
<|im_start|>user
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Answer Choices: (A) 48 kmph (B) 52 kmph (C) 108 kmph (D) 100 kmph (E) 98 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
S = 180/6 * 18/5 = 108 kmph
The answer is C<|endoftext|> | 4,784 |
<|im_start|>user
What makes up the mass number of an atom?
Answer choice: (A) protons and neutrons (B) electrons and neutrons (C) atoms and neutrons (D) molecules and electrons<|im_end|>
<|im_start|>assistant
<think>
</think>
The mass number is the number of protons plus the number of neutrons in an atom. For example... | 4,107 |
<|im_start|>user
David biked 16 1/3 miles in 2 hours and 20 minutes. What was his average rate of speed in miles per hour?
Answer Choices: (A) 7 (B) 7 2/3 (C) 8 1/3 (D) 9 (E) 9 1/3<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 16(1/3) = 49/3
T = 2(1/3) = 7/3
S = D/T = 7
The answer is A<|endoftext|> | 47,881 |
<|im_start|>user
28 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Answer Choices: (A) 30 (B) 42 (C) 60 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</thin... | 40,158 |
<|im_start|>user
If there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40% of the total. What fraction of the total is women who own cars?
Answer Choices: (A) 3⁄20 (B) 11⁄60 (C) 9⁄40 (D) 1⁄5 (E) 2⁄15<|im_end|>
<|im_start|>assistant
<think>
</think>
Co... | 39,826 |
<|im_start|>user
One-fourth of certain journey is covered at the rate of 25 km/h, one-third at the rate of 30 km/h and the rest at 50 km/h. Find the average speed for the whole journey.
Answer Choices: (A) 600/53km/h (B) 1200/53 km/h (C) 1800/53 km/h (D) 1600/53 km/h (E) None of these<|im_end|>
<|im_start|>assistant
<t... | 8,565 |
<|im_start|>user
A and B can do a piece of work in 8 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Answer Choices: (A) 30 DAYS (B) 35 DAYS (C) 40 DAYS (D) 8 DAYS (E) 3 DAYS<|im_end|>
<|im_start|>assistant
<think>
</think>
C = 1/5 – 1/8= 1/40 => 40 days
The answer is C<... | 38,137 |
<|im_start|>user
The number of new words that can be formed by rearranging the letters of the word 'REDUCTION' is ?
Answer Choices: (A) 362879 (B) 362889 (C) 120 (D) 5040 (E) 5039<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of words which can be formed
= 9! - 1 = 362880 - 1
= 362879
The answer is A<|endof... | 51,908 |
<|im_start|>user
In the lungs, bicarbonate is transported back into the red blood cells in exchange for what?
Answer choice: (A) chloride (B) phosphate (C) glucose (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
39.4 Transport of Gases in Human Bodily Fluids Hemoglobin is a protein found in red blood cell... | 1,441 |
<|im_start|>user
Sum of 36 odd numbers is?
Answer Choices: (A) 1294 (B) 1295 (C) 1296 (D) 1297 (E) 1298<|im_end|>
<|im_start|>assistant
<think>
</think>
sum of 1st n odd no.s = 1+3+5+7+... = n^2
so, Sum of 1st 36 odd numbers = 36^2 = 1296
The answer is C<|endoftext|> | 27,861 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Similes and metaphors are figures of speech that compare two things that are not actually alike.
A simile compares two things by saying that one is like the other. Similes often use the words like and as.
My sister runs like... | 3,537 |
<|im_start|>user
Rs. 900 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 900 become in 3 years ?
Answer Choices: (A) Rs. 1020.80 (B) Rs. 1025 (C) Rs. 1064 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</thi... | 47,867 |
<|im_start|>user
In a certain neighborhood, there are half as many beige houses as white houses, and six times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
Answer Choices: (A) 1:3 (B) 1:9 (C) 2:5 (D) 5:3 (E) 6:1<|im_end|>
<|im_start|>assistant
<thi... | 73,626 |
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