text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
In a restaurant, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Answer Choices: (A) 30% (B) 57% (C) 90% (D) 100% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
E... | 90,123 |
<|im_start|>user
The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
Answer Choices: (A) 376 (B) 148 (C) 216 (D) 168 (E) 178<|im_end|>
<|im_start|>assistant
<think>
</think>
2(4*5 + 5*6 + 4*6)
= 148
The answer is B<|endoftext|> | 29,875 |
<|im_start|>user
Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
Answer Ch... | 19,426 |
<|im_start|>user
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $6.0. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
An... | 47,418 |
<|im_start|>user
Which of the following is not a prime number ?
Answer Choices: (A) 2 (B) 3 (C) 11 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Clearly, 20 is not a prime number.
The answer is E<|endoftext|> | 90,281 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 3 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 60 m (B) 188 m (C) 120 m (D) 80 m (E) 189 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length... | 18,040 |
<|im_start|>user
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Answer Choices: (A) 145 (B) 253 (C) 140 (D) 200 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the middle... | 32,775 |
<|im_start|>user
A lockbox has a 4 digit number passcode. How many different passwords are possible if repetition of numbers is allowed?
Answer Choices: (A) 40 (B) 10000 (C) 1000 (D) 100 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
10 x 10 x 10 x 10 = 10,000
The answer is B<|endoftext|> | 47,310 |
<|im_start|>user
If a 4-digit integer is selected at random from the integers 6000 through 6999, inclusive, what is the probability that the first digit and the last digit of the integer are each equal to three times the tens digit and two times the hundreds digit?
Answer Choices: (A) 1/999 (B) 3/6000 (C) 1/1000 (D)... | 55,377 |
<|im_start|>user
A cyclist traveled for two days. On the second day the cyclist traveled 6 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 12 hours traveling, what was her average speed on the ... | 36,272 |
<|im_start|>user
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 35% nuts, what percent of the combined mixture is dried fruit?
Answer Choices: (A) 48.3% (B) 52.8% (C) 55.5% (D) 58.3% (E) 61.4%<|im_end|>... | 74,153 |
<|im_start|>user
In how many ways can the letters {U, R, U, R, R} be arranged?
Answer Choices: (A) 10 (B) 20 (C) 120 (D) 720 (E) 840<|im_end|>
<|im_start|>assistant
<think>
</think>
My answer : A
There is 5! ways to arrange those letters in total, however letter U repeats 2! times and letter R repeats 3! times
=> the... | 2,230 |
<|im_start|>user
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Answer Choices: (A) 15 (B) 12 (C) 8 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
<... | 65,357 |
<|im_start|>user
A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
Answer Choices: (A) 34 % (B) 33 % (C) 20 % (D) 35 % (E) 30 %<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of mangoes bought by the shopkeeper be 30.
If he buys 6 a... | 39,602 |
<|im_start|>user
Obra drove 140π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?
Answer Choices: (A) 6.67% (B) 12.5% (C) 18.75% (D) 29.16% (E) 33.3%<|im_end|>
<|im_start|>assistant
<think>
</thi... | 63,902 |
<|im_start|>user
Between 1980 and 1990 a small town's population increased from 10000 to 12500. Between 1990 and 2000 its population increased from 12500 to 14500. By what percent did the rate of population growth decrease from the period 1980-1990 to the period 1990-2000?
Answer Choices: (A) 20% (B) 24% (C) 28% (D) 32... | 44,040 |
<|im_start|>user
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Answer Choices: (A) 6 min (B) 7 min (C) 9 min (D) 4 min (E) 2 min<|im_end|>
<|im_start|>assistant
<think>
<... | 50,432 |
<|im_start|>user
what is the product of first three whole no.
Answer Choices: (A) 0 (B) 1 (C) 6 (D) 2 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
first three whole no. are 0,1,2.
remember whole no. start from 0 and natural no. from 1
so product will 0 only.
The answer is A<|endoftext|> | 34,935 |
<|im_start|>user
The average age of 3 girls is 16 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Answer Choices: (A) 12 years (B) 7 years (C) 9 years (D) 10 years (E) 8 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Total age of 3 boys = 16*3 =48
ratio of their ages = 1:2:3... | 21,463 |
<|im_start|>user
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
Answer Choices: (A) Rs.662.08 (B) Rs.662.11 (C) Rs.662.02 (D) Rs.662.91 (E) Rs.662.01<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount = [200(1 + 5/100)3 + 20... | 7,522 |
<|im_start|>user
The product of a and b is equal to 1 more than twice the sum of a and b. If b = 7, what is the value of b - a?
Answer Choices: (A) 2 (B) 5 (C) 4 (D) 24 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
ab= 1 + 2(a+b)
7a= 1+2a +14
5a= 15
a=3
b-a= 7-3=4
C is
The answer is C<|endoftext|> | 68,623 |
<|im_start|>user
A tap can fill a tank in 6 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) 3hr (B) 3hr 45min (C) 4hr 15min (D) 2hr 1min (E) 1hr 45min<|im_end|>
<|im_start|>assistant
<think>
</think>
Time taken by ... | 7,633 |
<|im_start|>user
The average weight of 25 girls increases by 1 kg when a new girl comes in place of one of them weighing 55 kg. What might be the weight of the new girl?
Answer Choices: (A) 85 kg (B) 90 kg (C) 83 kg (D) 80 kg (E) 82 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = 25 x 1 k... | 883 |
<|im_start|>user
Jon bought a TV on sale for 25% off. If the TV cost him $549.99, what is the original selling price of the TV?
Answer Choices: (A) $2199.96 (B) $137.49 (C) $733.32 (D) $687.48 (E) None of these.<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
CP of Jon is 25% of the Original SP.
:. Orig... | 86,562 |
<|im_start|>user
There are between 140 and 150 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Answer Choices: (A) 141 (B) 143 (C) 145 (D) 147 (E) 149<|im_end|>
<|im_start|>as... | 8,074 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All solids, liquids, and gases are made of matter. Matter is made up of tiny particles that are always moving. The energy from the motion of these particles is called thermal energy.
Temperature measures how hot or cold matt... | 3,171 |
<|im_start|>user
Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 yrs of age.
Assumptions:
1) There are unemployed youth in India who needs monetary support.
2) The government has sufficient funds to provide allowance to all unemployed youth.
Answer Choices: (A) Only assumption ... | 37,961 |
<|im_start|>user
The entire volume of what is filtered through the kidneys about 300 times per day?
Answer choice: (A) gastric juice (B) blood (C) urine (D) saliva<|im_end|>
<|im_start|>assistant
<think>
</think>
25.5 Physiology of Urine Formation The entire volume of the blood is filtered through the kidneys about 3... | 2,501 |
<|im_start|>user
7128+1252=1202+X
Answer Choices: (A) 7158 (B) 7149 (C) 7145 (D) 7128 (E) 7178<|im_end|>
<|im_start|>assistant
<think>
</think>
X=1278+1252-1202
X=7128+50
X=7178
The answer is E<|endoftext|> | 60,204 |
<|im_start|>user
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 16
III. P is a multiple of 27
Answer Choices: (A) I only (B) II only (C) III only (D) None of the above (E) All of the above<|im_end|>
<|im_start|>assistant
<... | 26,685 |
<|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.
The protean nature of the diseas... | 5,121 |
<|im_start|>user
A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to
get a new mixture containing milk and water in the ratio 3:1?
Answer Choices: (A) 5 kg (B) 6.5 kg (C) 7.5 kg (D) 8 kg (E) 9 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Expl : Mi... | 36,193 |
<|im_start|>user
A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent?
Answer Choices: (A) 22% (B) 25% (C) 77% (D) 99% (E) 11.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
896 --- 104
100 --- ? => 11.6%
The answer is E<|endoftext|> | 87,645 |
<|im_start|>user
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/5* ?
Answer Choices: (A) 5 (B) 5/4 (C) 4/5 (D) 1/4 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
When dealing ... | 78,096 |
<|im_start|>user
If a(a - 4) = 12 and b(b -4) = 12, where a ≠ b, then a + b =
Answer Choices: (A) −48 (B) −5 (C) 4 (D) 46 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
i.e. if a = 6 then b = -2
or if a = -2 then b = 6
But in each case a+b = -2+6 = 4
The answer is C<|endoftext|> | 81,869 |
<|im_start|>user
What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 4?
Answer Choices: (A) 20 (B) 24 (C) 30 (D) 32 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
4*1*4 -(- 2*1*16)
=16+32 = 48
The answer is E<|endoftext|> | 69,352 |
<|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 ... | 1,323 |
<|im_start|>user
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
Answer Ch... | 32,741 |
<|im_start|>user
A train 300 m long passed a pole in 30 sec. How long will it take to pass a platform 650 m long?
Answer Choices: (A) 28 sec (B) 89 sec (C) 85 sec (D) 16 sec (E) 95 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 300/30= 10 m/sec.
Required time = (300 + 650)/10
= 95 sec.
The answer is E<|... | 7,274 |
<|im_start|>user
What is the term for the exchange of genetic material between non-sister chromatids of homologous chromosomes?
Answer choice: (A) inheritance (B) crossing-over (C) asexual reproduction (D) meiosis<|im_end|>
<|im_start|>assistant
<think>
</think>
When homologous chromosomes pair up during meiosis I, c... | 10,003 |
<|im_start|>user
If the average of r, b, c, 14 and 15 is 12. What is the average value of r, b, c and 29
Answer Choices: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
r+b+c+14+15 = 12*5 = 60
=>r+b+c = 60-29 = 31
r+b+c+29 = 31+29= 60
Average = 60/4 = 15
The answer is D<|endoftext|... | 37,047 |
<|im_start|>user
A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 25 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Answer Choices: (A) $198 (B) $216 (C) $220 (D) $180 ... | 50,580 |
<|im_start|>user
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Answer Choices: (A) 32 kmph (B) 33 kmph (C) 34 kmph (D) 35 kmph (E) 36 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
A
32 kmph
S = (100 + 300)/45 = 400/45 * 18/5 = 32
The answ... | 80,599 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Words change in meaning when speakers begin using them in new ways. For example, the word peruse once only meant to examine in detail, but it's now also commonly used to mean to look through in a casual manner.
When a word c... | 414 |
<|im_start|>user
An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Answer Choices: (A) 20 (B) 60 (C) 80 (D) 90 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
He has has ten patterns of chairs and eight patterns of tables
Hence, A chair ca... | 96,974 |
<|im_start|>user
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Answer Choices: (A) 87 liters (B) 17 liters (C) 10 liters (D) 17 liters (E) 16 liters<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of liters of wa... | 71,143 |
<|im_start|>user
What bodily function do the triceps help perform?
Answer choice: (A) perform crunches (B) make a fist (C) extend the arm (D) lift the leg<|im_end|>
<|im_start|>assistant
<think>
</think>
Pearson Scott Foresman. The biceps help contract the arm, while the triceps help extend the arm . Public Domain.
T... | 8,538 |
<|im_start|>user
The sum of all the integers k such that −26 < k < 24 is
Answer Choices: (A) 0 (B) −2 (C) −25 (D) −49 (E) −51<|im_end|>
<|im_start|>assistant
<think>
</think>
Since k defines a range between −26 < k < 24 we can set 0 as the reference point for the negative values and positive values.
The negative... | 7,248 |
<|im_start|>user
20 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) 32 (C) 60 (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</thin... | 93,896 |
<|im_start|>user
The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 80 hours, how many hours did the secretary who worked the longest spend on the project?
Answer Choices: (A) 80 (B) 70 (C) 56 (D) 16 (E) 40<|im_end|>
<|im_start|>ass... | 60,716 |
<|im_start|>user
At what time between 5.30 and 6 will the hands of a clock be at right angles?
Answer Choices: (A) 40 min. past 5 (B) 42 min. past 5 (C) 43 4/11 min past 5 (D) 43 7/11 min. past 5 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
At 5 o’clock, the hands are 24 min. spaces apart.
To be at ... | 96,204 |
<|im_start|>user
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Answer Choices: (A) 1/7 (B) 2/7 (C) 3/7 (D) 4/7 (E) None of them<|im_e... | 81,072 |
<|im_start|>user
If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT:
Answer Choices: (A) 2 (B) 8 (C) 4 (D) 3 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
xy = 3(x + 1) + y
xy - y = 3(x + 1)
y = 3(x + 1)/(x-1)
y won't be an integer only if x = 8 (from the options).
T... | 78,485 |
<|im_start|>user
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Answer Choices: (A) 1/3. (B) 1/2. (C) 2. (D) 3. (E) 6.<|im_end|>
<|im_start|>assistant
<think... | 22,030 |
<|im_start|>user
The side of a square is increased by 25% then how much % does its area increases?
Answer Choices: (A) 56.29 % (B) 56.25 % (C) 56.75 % (D) 58.25 % (E) 51.25 %<|im_end|>
<|im_start|>assistant
<think>
</think>
a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56... | 53,985 |
<|im_start|>user
An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are... | 61,381 |
<|im_start|>user
There were 9 lottery ticket winners for payout of 4 million dollars. If the all winners get the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Answer Choices: (A) 4,000,000 (B) 4,000,001 (C) 4,000,005 (D) 4,000,008 (E) 4,000,010<|im_end|>
<|im_start|>ass... | 89,567 |
<|im_start|>user
If x is an integer such that 3 < x < 10, 5 < x < 18, 9 > x > –2, 8 > x > 0, and x + 1 < 9, then x is
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
3 < x < 10,
6 < x < 18,
-2 < x <9
0 < x < 8
x<8
From above: 6< x < 8 --> x = 7.
The answer is C<|endofte... | 46,960 |
<|im_start|>user
Jaylen was planning to save all summer for a pair of Jordan 12s. They cost $250. Jaylen figured that he could cut grass to help with the cost of the sneakers. How many yards would Jaylen have to cut if he charges $2.15 per yard?
Answer Choices: (A) 116 yards (B) 226 yards (C) 97 yards (D) 115.74 yards ... | 9,971 |
<|im_start|>user
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.5, and there are exactly 90 candies, what is... | 26,871 |
<|im_start|>user
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Answer Choices: (A) 1/9 (B) 1/7 (C) 1/5 (D) 1/1 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Requ... | 85,544 |
<|im_start|>user
A cycle is bought for Rs.750 and sold for Rs.1080, find the gain percent?
Answer Choices: (A) 22 (B) 44 (C) 99 (D) 88 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
750 ---- 180
100 ---- ? => 44%
The answer is B<|endoftext|> | 72,890 |
<|im_start|>user
Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3... | 31,378 |
<|im_start|>user
|x+3| – |4-x| = |9+x| How many solutions will this equation have?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |... | 97,466 |
<|im_start|>user
Calculate the HCF of 30, 108, 660
Answer Choices: (A) 6 (B) 5 (C) 4 (D) 3 (E) 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Lets solve this question by factorization method.
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54... | 56,073 |
<|im_start|>user
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $760; each of his remaining paychecks was $30 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
Answer Choices: (A) $752 (B) $755 (C) ... | 86,644 |
<|im_start|>user
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
Answer Choices: (A) 15 (B) 16 (C) 18 (D) 25 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Work done by Sakshi in 1 day = 1/20
Since Tanya is ... | 33,264 |
<|im_start|>user
Positive integer y is 50 percent of 50 percent of positive integer x, and 2y percent of x equals 100. What is the value of x?
Answer Choices: (A) 50 (B) 100 (C) 140 (D) 1,000 (E) 2,000<|im_end|>
<|im_start|>assistant
<think>
</think>
y = 50% of 50% 0f x
= x/4
and
2y/100 of x = 100
2y /100 *4y =5... | 48,625 |
<|im_start|>user
An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
HCF of 4956, 3894 = 354
(4956 - ... | 78,843 |
<|im_start|>user
If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 6^3 + ..... + 20^3 is
Answer Choices: (A) 1032 (B) 1040 (C) 1048 (D) 1050 (E) 1052<|im_end|>
<|im_start|>assistant
<think>
</think>
2(13 + 23 + 33 + ---------- + 103)
2 × 516 = 1032
A
The answer is A<|endoftext|> | 91,057 |
<|im_start|>user
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation Z to least standard deviation in which of the following?
An... | 73,531 |
<|im_start|>user
A jar contains 20 red, 20 blue, 6 yellow and 4 pink balls. If two balls are to be selected at random and without replacement, approximately what is the probability both of them to be the same colour?
Answer Choices: (A) 1/25 (B) 1/15 (C) 1/3 (D) 1/2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</thin... | 64,886 |
<|im_start|>user
The angle between the minute hand and the hour hand of a clock when the time is 11.30, is
Answer Choices: (A) 35° (B) 65° (C) 45° (D) 165° (E) 95°<|im_end|>
<|im_start|>assistant
<think>
</think>
Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two ha... | 11,748 |
<|im_start|>user
The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two-digit number be 10a + b
a = b + 2 --- (1)
10a ... | 54,298 |
<|im_start|>user
13 ltr of water is added with 11 ltr of a solution containing 16%of alcohol in the water. The %of alcohol in the new mixture is?
Answer Choices: (A) 7.33% (B) 9% (C) 9.67% (D) 11% (E) 11.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
We have an 11 litre solution containing 16% of alcohol in the ... | 92,174 |
<|im_start|>user
During a certain week, a seal ate 65% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Answer Choices: (A) 32 (B) 40 (C) 55 (D) 64 (E) 112<|im_end|>
<|im_start|>assista... | 5,439 |
<|im_start|>user
Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
Answer Choices: (A) 8 (B) 16 (C) 32 (D) 48 (E) 54<|im_end|>
<|im_start|>assistant
<think>
</think>
One option is to set up the equations and solve:
If the ratio of two int... | 16,144 |
<|im_start|>user
A man goes downstream at 14 kmph, and upstream8 kmph. The speed of the stream is
Answer Choices: (A) 0kmph (B) 4kmph (C) 16kmph (D) 2.5kmph (E) 3kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the stream = 1/2(14-8)kmph
=3kmph.
correct option :E
The answer is E<|endoftext|> | 78,900 |
<|im_start|>user
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies?
Answer Choices: (A) 36 (B) 64 (C) 54 (D) 55 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
T = R
T - 24 ;R + 24
R + ... | 49,772 |
<|im_start|>user
A bag contains 4 red, 4 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Answer Choices: (A) 2/15 (B) 2/21 (C) 5/26 (D) 3/29 (E) 4/27<|im_end|>
<|im_start|>assistant
<think>
</think>
P(Both are red),
=4C210C2=4C210C2
=6/45=2/15
A
The answer is A<|endo... | 74,015 |
<|im_start|>user
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
Answer Choices: (A) 8% (B) 5% (C) 6% (D) 4% (E) 2%<|im_end|>
<|im_start|>assistant
<think>
</think>
SI = 20 + 20
CI = 20 + 21
20 ---- 1
100 ---- ? => 5%
The answer is B<|endoftext|> | 2,688 |
<|im_start|>user
In an increasing sequence of 8 consecutive integers, the sum of the last 4 integers is 822. What is the sum of the first 4 integers in the sequence?
Answer Choices: (A) 800 (B) 808 (C) 806 (D) 802 (E) 804<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
In solving this problem we must first... | 88,627 |
<|im_start|>user
Exactly 36% of the numbers in set R are even multiples of 3. If 40% of the even integers in set R are not multiples of 3, what percent of the numbers in set R are not even integers?
Answer Choices: (A) 76% (B) 60% (C) 50% (D) 40% (E) 24%<|im_end|>
<|im_start|>assistant
<think>
</think>
Everythin... | 78,251 |
<|im_start|>user
Two trains are running at 40km/hr and 20km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Answer Choices: (A) 23 m (B) 23 2/9 m (C) 27 7/9 m (D) 29 m (E) 28 m<|im_end|>
<|im_start|>assistant
... | 56,732 |
<|im_start|>user
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24000, how much amount per month would he have spent on clothes and transport?
Answer Choices: (A) 2000 (B) 8076 (C)... | 30,469 |
<|im_start|>user
Two numbers are respectively 19% and 40% more than a third number. The percentage that is first of the second is?
Answer Choices: (A) 15% (B) 20% (C) 25% (D) 30% (E) 35%<|im_end|>
<|im_start|>assistant
<think>
</think>
I II III
119 140 100
140----------119
100-----------? => 15%
The answer is A<|endo... | 28,094 |
<|im_start|>user
How many keystrokes are needed to type the numbers from 1 to 200?
Answer Choices: (A) 195 (B) 280 (C) 364 (D) 492 (E) 512<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 9 one-digit numbers from 1 to 9.
There are 90 two-digit numbers from 10 to 99.
There are 101 three-digit numbers from 10... | 49,575 |
<|im_start|>user
There are two groups of students in the sixth grade. There are 45 students in group A, and 55 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 40% of the students in group B forget their homework, then what percentage of the sixth graders forgot th... | 50,833 |
<|im_start|>user
All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the... | 61,511 |
<|im_start|>user
Jim takes a seconds to swim z meters at a constant rate from point P to point Q in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point P the same time that Roger leaves point Q, how many fewer meters will Jim have swum than Roger when t... | 54,169 |
<|im_start|>user
After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 6 courses, each with an equal weight for GPA calculations, and received tw... | 45,697 |
<|im_start|>user
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Answer Choices: (A) 2400 (B) 299 (C) 277 (D) 268 (E) 266<|im_end|>
<|im_... | 40,341 |
<|im_start|>user
There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number?
Answer Choices: (A) 25 (B) 26 (C) 30 (D) 24 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two positive numbers be 7x and 11x respectively.
11x - 7x = 16
4x... | 24,939 |
<|im_start|>user
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share... | 10,489 |
<|im_start|>user
Transport vesicles move what type of molecules from the rough endoplasmic reticulum to the golgi apparatus?
Answer choice: (A) acids (B) lipids (C) hormones (D) proteins<|im_end|>
<|im_start|>assistant
<think>
</think>
Transport vesicles are part of the endomembrane system. They are able to move mole... | 3,449 |
<|im_start|>user
I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
The total ... | 85,144 |
<|im_start|>user
On which ridge does iceland sit?
Answer choice: (A) Arctic circle (B) Antarctic ridge (C) mid-atlantic ridge (D) Pacific rim<|im_end|>
<|im_start|>assistant
<think>
</think>
Most mid-ocean ridges are located deep below the sea. The island of Iceland sits right on the Mid-Atlantic ridge ( Figure below... | 2,097 |
<|im_start|>user
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Answer Choices: (A) 6 ½ days (B) 1 ½ days (C) 8 ½ days (D) 5 ½ days (E) 2 ½ days<|im_end|>
<|im_start|>assistant
<think... | 96,506 |
<|im_start|>user
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 4 days?
Answer Choices: (A) 2/5 (B) 1/6 (C) 1/4 (D) 1/9 (E) 2/9<|im_end|>
<|im_start|>assistant
<think>
</think>
A's one day's work = 1/30
B's one da... | 74,303 |
<|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... | 2,253 |
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