text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
What is the next number of the following sequence
10, 7, 12, 10, 14, __ ?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
combine two series:
1st series is:10 12 14
10+2=12
12+2=14
14+2=16
2nd series is:7 10
means its 7+3=10
10+3=13
The answer is A<... | 45,441 |
<|im_start|>user
How many prime numbers between 1 and 100 are factors of 210?
Answer Choices: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
factor of 210= 2*3*5*7--- 4 prime numbers
B
The answer is B<|endoftext|> | 42,667 |
<|im_start|>user
A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
Answer Choices: (A) 15 kmph (B) 25 kmph (C) 28 kmph (D) 29 kmph (E) 21 kmph<|im_end|>
<|... | 69,141 |
<|im_start|>user
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Answer Choices: (A) 21 (1/8) kmph (B) 21 (1/3) kmph (C) 21 (7/3) kmph (D) 27 (1/3) kmph (E) 21 (1/8) kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 14,120 |
<|im_start|>user
Each child has 5 stickers and 8 candies. If there are 7 children, how many stickers are there in total?
Answer Choices: (A) 12 (B) 38 (C) 48 (D) 21 (E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
5*7=35.
The answer is E<|endoftext|> | 22,282 |
<|im_start|>user
A man has Rs. 480 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) 45 (B) 60 (C) 75 (D) 90 (E) 105<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 13,125 |
<|im_start|>user
Using all the letters of the word "FORMED", how many words can be formed, which begin with F and end with D?
Answer Choices: (A) 30 (B) 26 (C) 23 (D) 20 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
There are six letters in the given word.
Consider 6 blanks ....
The first blank and last bla... | 29,197 |
<|im_start|>user
A and B start a business with Rs.10000 and Rs.5000 respectively. Hoe should they share their profits at the end of one year?
Answer Choices: (A) 1:2 (B) 3:4 (C) 2:5 (D) 3:7 (E) 2:1<|im_end|>
<|im_start|>assistant
<think>
</think>
They should share the profits in the ratio of their investments.
The ra... | 75,332 |
<|im_start|>user
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer Choices: (A) 11 (B) 77 (C) 30 (D) 88 (E) 34<|im_end|>
<|im_start|>assistant
<think>
</think>
US = 25
DS = 35
M = (35 + 25)/2 = 30
The answer is C<|endoftext|> | 74,650 |
<|im_start|>user
What branch of biology focuses on heredity?
Answer choice: (A) botany (B) cell biology (C) zoology (D) genetics<|im_end|>
<|im_start|>assistant
<think>
</think>
When zinc reacts with hydrochloric acid, the reaction bubbles vigorously as hydrogen gas is produced. The production of a gas is also an ind... | 4,121 |
<|im_start|>user
The most common substance on earth, water, is primarily present in what state?
Answer choice: (A) gas (B) solid (C) freshwater (D) liquid<|im_end|>
<|im_start|>assistant
<think>
</think>
Water is the most common substance on Earth, and most of it exists in the liquid state. A liquid is one of four we... | 8,033 |
<|im_start|>user
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Answer Choices: (A) 11 (B) 22 (C) 44 (D) 55 (E) 79<|im_end|>
<|im_start|>assistant
<think>
</think>
g% = 20 + 20 + (20*20)/100
= 44%
The a... | 3,791 |
<|im_start|>user
Calculate the area of a triangle, if the sides are 13 cm, 12 cm and 5 cm, what is its area?
Answer Choices: (A) 36 cm2 (B) 35 cm2 (C) 30 cm2 (D) 32 cm2 (E) 31 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 13 cm, 12 cm and 5 cm is right angled, where the hypotenuse is 13... | 15,184 |
<|im_start|>user
Ram professes to sell his goods at the cost price but he made use of 700 grms instead of a kg, what is the gain percent?
A. 11%
Answer Choices: (A) 11 1/9% (B) 11 1/8% (C) 11 9/9% (D) 11 5/9% (E) 42.85%<|im_end|>
<|im_start|>assistant
<think>
</think>
700 --- 300
100 --- ? => 42.85%
The answer is E<|... | 29,282 |
<|im_start|>user
If (1*x)y=y, which of the following must be true?
Answer Choices: (A) x=-1 or y=0 (B) x=0 or y=0 (C) x=1 or y=1 (D) x=-1 or y=-1 (E) x=0 or y=1<|im_end|>
<|im_start|>assistant
<think>
</think>
We have (1*x)y=y.
If x=1, y=1 True
If y=1, (1*x)*1=1True
So, Cwill be
The answer is C<|endoftext|> | 64,399 |
<|im_start|>user
I gain 70 paise on Rs.70.My gain percent is :
Answer Choices: (A) 0.1% (B) 1% (C) 7% (D) 10% (E) Noneof these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
11.1
Gain% = (0.70/70x100)% = 1%.
The answer is B<|endoftext|> | 2,775 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A strong argument uses valid reasoning and logic in support of a claim. When an argument or claim introduces irrelevant information or misrepresents the issues at hand, it may be committing a logical fallacy. Logical fallaci... | 4,392 |
<|im_start|>user
What quantity of water should taken out to concentrate 15 liters of 40% acidic liquid to 60% acidic liquid?
Answer Choices: (A) 5liters (B) 10liters (C) 15liters (D) 8liters (E) 6liters<|im_end|>
<|im_start|>assistant
<think>
</think>
Required answer is = 15(60-40)/60 = 5 liters
The answer is A<|endo... | 64,133 |
<|im_start|>user
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 kmph (B) 22 kmph (C) 77 kmph (D) 66 kmph (E) 99 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the ... | 55,500 |
<|im_start|>user
Solve:-
111 x 111 x 111 + 555 x 555 x 555 = ?(111 x 111 - 111 x 555 + 555 x 555)
Answer Choices: (A) 888 (B) 666 (C) 555 (D) 988 (E) 889<|im_end|>
<|im_start|>assistant
<think>
</think>
Given Exp. = (a3 + b3) = (a + b) = (111 + 555) = 666 (a2 - ab + b2)
The answer is B<|endoftext|> | 66,961 |
<|im_start|>user
A certain junior class has 1000 students and a certain senior class has 600 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibl... | 24,301 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. The ratio of their speeds is:
Answer Choices: (A) 3 : 1 (B) 4: 3 (C) 3 : 8 (D) 3 : 25 (E) 3 : 4<|im_end|>
<|im_start|>assistant
<think>
</th... | 9,956 |
<|im_start|>user
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Answer Choices: (A) 22 (B) 77 (C) 90 (D) 66 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of ... | 85,783 |
<|im_start|>user
If you add all the numbers on your mobile phone , what is the answer?
Answer Choices: (A) 45 (B) 50 (C) 55 (D) 100 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are in your mobile phone.
Therefore 0+1+2+3+4+5+6+7+8+9=45
The answer is A<|endoftext|> | 64,409 |
<|im_start|>user
In how many ways can the letters of the word RAVES be arranged in a row so that the vowels appear in alphabetic order?
Answer Choices: (A) 60 (B) 30 (C) 120 (D) 240 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
Two letters can be arranged in 2! ways.
only one combination EIU is required.
5 ... | 36,383 |
<|im_start|>user
Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Answer Choices: (A) -3⁄2 < x < 1 (B) -1 < x < 3⁄2 (C) x > 1 (D) x < -2⁄5 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
2x2 + x – 3 < 0
⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1
The answer is A<|endoftext|> | 38,222 |
<|im_start|>user
What is the greatest prime factor of (10!9!) + (10!11!)?
Answer Choices: (A) 23 (B) 29 (C) 31 (D) 37 (E) 41<|im_end|>
<|im_start|>assistant
<think>
</think>
10!9! + 10!11!
= 10!9! (1+10*11)
= 12!11!(111)
= 12!11!(3*37)
The greatest prime factor is 37.
The answer is D<|endoftext|> | 11,487 |
<|im_start|>user
There are 16 stations between Mumbai and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Answer Choices: (A) 316 (B) 306 (C) 326 (D) 336 (E) 356<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of statio... | 51,161 |
<|im_start|>user
The grade point average of the entire class is 84. If the average of one fourth of the class is 96, what is the average of the rest of the class?
Answer Choices: (A) 76 (B) 77 (C) 78 (D) 79 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the number of students in the class.
Let P be ... | 77,748 |
<|im_start|>user
300 + 5 × 8 = ?
Answer Choices: (A) 820 (B) 340 (C) 420 (D) 209 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
300 + 5 × 8 = ?
or, ? = 300 + 40 = 340
The answer is B<|endoftext|> | 72,028 |
<|im_start|>user
The function g(h) is defined for integers h such that if h is even, g(h) = h/2 and if h is odd, g(h) = h + 5. Given that g(g(g(g(g(h))))) = 19, how many possible values for h would satisfy this equation?
Answer Choices: (A) 1 (B) 5 (C) 7 (D) 8 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
L... | 84,792 |
<|im_start|>user
12 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Answer Choices: (A) 13 (B) 14 (C) 15 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of... | 14,216 |
<|im_start|>user
What protects reptiles from drying out?
Answer choice: (A) sweat (B) skin (C) scales (D) hairs<|im_end|>
<|im_start|>assistant
<think>
</think>
Reptiles also have several adaptations for living on land. They have a skin covered in scales to protect them from drying out. All reptiles have lungs to bre... | 11,253 |
<|im_start|>user
Why is uranus so faint?
Answer choice: (A) far away (B) polluted atmosphere (C) too small (D) too cold<|im_end|>
<|im_start|>assistant
<think>
</think>
Uranus is faint because it is very far away. Its distance from the Sun is 2.8 billion kilometers (1.8 billion miles). A photon from the Sun takes abo... | 1,488 |
<|im_start|>user
34. The side surface of a cylinder is rolled with a rectangular plate. If the perimeter of the circular base Is 9 feet, and the diagonal of the rectangular plate was 15 ft. What is height of the of the cylinder?
Answer Choices: (A) 12 (B) 15 (C) 10 (D) 8 (E) 14<|im_end|>
<|im_start|>assistant
<think>
... | 52,009 |
<|im_start|>user
In how many different number of ways a Committee of 3 person of can be selected from 5 men and 3 women such that atleast 1 women is included in the committee
Answer Choices: (A) 36 (B) 46 (C) 50 (D) 52 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
1W 2M 2W 1M 3W
= 3C1 × 5C2 + 3C2 × 5C1 + 3C... | 95,037 |
<|im_start|>user
A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the en... | 68,740 |
<|im_start|>user
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Answer Choices: (A) 7:2 (B) 7:8 (C) 7:4 (D) 7:6 (E) 7:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the invest... | 10,455 |
<|im_start|>user
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $40 to incur a loss 20%?
Answer Choices: (A) 20 (B) 36 (C) 40 (D) 50 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a los... | 95,192 |
<|im_start|>user
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 19,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Answer Choi... | 71,759 |
<|im_start|>user
Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Answer Choices: (A) 11:9 (B) 11:20 (C) 9:20 (D) 11:8 (E) None<|im_end|>
<|im_start|>assistant
<thin... | 84,951 |
<|im_start|>user
A box contains nine slips that are each labeled with one number: 1, 2, 3, 5, 8, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Answer Choices: (A) ... | 92,601 |
<|im_start|>user
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Answer Choices: (A) 2266 (B) 2987 (C) 2678 (D) 6725 (E) 2677<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = SP ... | 86,356 |
<|im_start|>user
If 5^z × 5^y = (125)^4, then what two values will satisfy z and y such that it equals the value of 125^4?
Answer Choices: (A) 1, 5 (B) 2, 3 (C) 5, 7 (D) Both A and B (E) Neither of the Above<|im_end|>
<|im_start|>assistant
<think>
</think>
5^z × 5^y = (125)^4
5^(z+y) = 5^12
since base is same, we can... | 9,358 |
<|im_start|>user
In boring a well 50 m deep, the cost is
Rs.4/– for the first meter. The cost of each successive meter
increases by Rs.2/–. What is the cost of boring the entire well?
Answer Choices: (A) 1650 (B) 2650 (C) 3650 (D) 4650 (E) 2850<|im_end|>
<|im_start|>assistant
<think>
</think>
For successive meters th... | 91,836 |
<|im_start|>user
Rajeswari went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 10%. then what was the cost of the tax free items?
Answer Choices: (A) Rs. 90.50 (B) Rs. 89.50 (C) Rs. 94.00 (D) Rs. 99.50 (E) Rs. 94.50<|im_end|>
<|im_sta... | 63,915 |
<|im_start|>user
At what price must an article costing Rs.47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
Answer Choices: (A) 60.5 (B) 65.9 (C) 67.5 (D) 62.5 (E) 22.5<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = 47.50
SP = 47.50*(125... | 52,025 |
<|im_start|>user
At a summer camp with 1,200 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,200 campers will the 8- to 12-year-olds represent?
Answer Choices: (A) 66 2/3% (B) 60% (C) 50% (D) 45% (E)... | 83,351 |
<|im_start|>user
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 60 white marbles. How many red marbles could be in bag A?
Answer Choices: (A) 1 (... | 82,824 |
<|im_start|>user
If 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour?
Answer Choices: (A) 220 (B) 210 (C) 200 (D) 240 (E) 260<|im_end|>
<|im_start|>assistant
<think>
</think>
No. of letters typing by 10 typists in 20 minutes = 20
No. of le... | 85,060 |
<|im_start|>user
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Answer Choices: (A) 76 cm2 (B) 30 cm2 (C) 56 cm2 (D) 45 cm2 (E) 19 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
The circum... | 70,431 |
<|im_start|>user
A bowl has only 5 apples and 5 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Answer Choices: (A) 1/10 (B) 1/5 (C) 2/9 (D) 2/5 (E) 1/2<|im_... | 94,008 |
<|im_start|>user
48 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Answer Choices: (A) 66 (B) 26 (C) 42 (D) 27 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
x/7 = y/9 => x:y = 7:9
7/16 * 48 = 21
The answer is E<|endoftext|> | 8,723 |
<|im_start|>user
If x, y, and z are positive integers, and 2x = 5y = 7z, then the least possible value of x + y + z is
Answer Choices: (A) 15 (B) 28 (C) 37 (D) 42 (E) 59<|im_end|>
<|im_start|>assistant
<think>
</think>
Take LCM of 2,5 and 7 = 70
Now 2x = 70 => x =35
5y = 70 => y = 14
7z = 70 => z =10
35+14+10 = 59.
O... | 42,065 |
<|im_start|>user
In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Answer Choices: (A) 80% (B) 105% (C) 120% (D) 124.2% (E) 138%<|im_end|>
<|im_start|... | 48,554 |
<|im_start|>user
2 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
Answer Choices: (A) 1 (B) 2 (C) 5 (D) 0 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of p... | 95,943 |
<|im_start|>user
If two sides of a triangle have lengths 10 and 8, which of the following could be the perimeter of the triangle? I. 29 II. 26 III. 30
Answer Choices: (A) None (B) I only (C) II only (D) III only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
The length of any side of a triangle m... | 47,102 |
<|im_start|>user
Abel can complete a work in 10 days, Ben in 14 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work. How long did the work last?
Answer Choices: (A) 6 (B) 7 (C) 7 10/29 (D) 9 (E) 10<|im_end|>
<|im_start|>assi... | 83,262 |
<|im_start|>user
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Answer Choices: (A) 288 m (B) 704 m (C) 898 m (D) 556 m (E) 465 m<|im_end|>
<|im_start|>assistant
<think>
</think>
In one resolution, the distance covered by the wheel is its own circumference. Dist... | 86,889 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved to be true. Facts can be proved by observing, measuring, or studying information.
The flag of the United States has 13 stripes.
This is a fact. It can be proved by looking at the flag a... | 6,287 |
<|im_start|>user
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Answer Choices: (A) 20% loss (B) 20% profit (C) 10% profit (D) 25% loss (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that, cost price of 50 article is equal to ... | 18,219 |
<|im_start|>user
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days M will the work get over?
Answer Choices: (A) 60 (B) 70 (C) M=75 (D) 80 (E) 100<|im_end|>
<|im_start|>assistant
<t... | 52,756 |
<|im_start|>user
The true discount on a bill due 9 months hence at 16% per annum is Rs. 198.The amount of the bill is
Answer Choices: (A) Rs. 1386 (B) Rs. 1764 (C) Rs. 1650 (D) Rs. 2268 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
32.5
Let P.W. be Rs. x.Then,S.I. on Rs.x at 16% for 9 mo... | 50,479 |
<|im_start|>user
A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 hours a day?
Answer Choices: (A) 2 days (B) 5 days (C) 7 days (D) 3 days (E) 9 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. A can complete t... | 70,548 |
<|im_start|>user
If the quantity (p − 4) is 5 times the quantity (q − 5), then what is the relationship between p and q?
Answer Choices: (A) p = 5q + 30 (B) p = 5q − 21 (C) 5p = q + 20 (D) p = 5q (E) p = 5q − 20<|im_end|>
<|im_start|>assistant
<think>
</think>
p-4=5(q-5)
p-4=5q-25
p=5q-21
option B
The answer is B<|en... | 15,629 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Vertebrates and invertebrates are both groups of animals.
A vertebrate has a backbone. The backbone is made of many bones in an animal's back. A vertebrate's backbone helps connect the different parts of its body. In the dra... | 5,979 |
<|im_start|>user
The last digit of 12^12+13^13–14^14×15^15 =
Answer Choices: (A) 0 (B) 1 (C) 5 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
12^12+13^13–14^14∗15^15
=12^12+13^13–(14^14∗15^15)
Note that the answer would be -ve for this question
So, Just for the sake of last digit, I'm re-arranging the t... | 49,037 |
<|im_start|>user
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true
I. n is odd
II. n+1 cannot be a prime number
III. (n+2) divided by 7 has remainder 2
Answer Choices: (A) None (B) I only (C) I and II only (D) II and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<... | 66,753 |
<|im_start|>user
If selling price is doubled, the profit triples. Find the profit percent.
Answer Choices: (A) 200/3 (B) 100 (C) 316/3 (D) 120 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Let the C.P. be x and the S.P. be y
So the profit is (y - x) ---------------------------- (1)
... | 40,132 |
<|im_start|>user
Which of the following inequalities is always true for any real number 'a' and 'b'?
Answer Choices: (A) |a+b| >= |(|a|-|b|) | (B) |a-b| <= |(|a|-|b|) | (C) |a-b| = |(|a|-|b|) | (D) |a-b| >= |(|a|-|b|) | (E) |a-b| <= |a|-|b|<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 88,832 |
<|im_start|>user
A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?
Answer Choices: (A) 105 (B) 67 (C) 80 (D) 60 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
Final number = Initial number + 12%(original number) = 60 + 12%(... | 94,601 |
<|im_start|>user
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Answer Choices: (A) 40 (B) 80 (C) 120 (D) 200 (E) 210<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be 3x, 4x and 5x. Then, their L.C.M. = 60x. So, 60x = 2400 or x = 40. The numbers are (3 x 40), ... | 80,095 |
<|im_start|>user
What holds homologs together as the spindle forms for the first meiotic division?
Answer choice: (A) chiasmata (B) magnetism (C) pollenation (D) spirogyra<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 7,330 |
<|im_start|>user
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Answer Choices: (A) 81 min (B) 108 min (C) 144 min (D) 192 min (E) 195 min<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp... | 84,729 |
<|im_start|>user
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 8 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Answer Choices: (A) 27/343 (B) 3/7 (... | 45 |
<|im_start|>user
The last day of a century cannot be :
Answer Choices: (A) Monday (B) Wednesday (C) Friday (D) Tuesday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
100 years contain 5 odd days. So, last day of 1st century is ‘Friday’
200 years contain (5 × 2) = 10 odd days = 3 odd days.
So, last... | 81,973 |
<|im_start|>user
If A(k)=(k+1)^2, and k=1, what is the value of A(A(A(A(k))))?
Answer Choices: (A) 328359 (B) 557321 (C) 258327 (D) 458329 (E) 4422<|im_end|>
<|im_start|>assistant
<think>
</think>
A(A(A(A(1))))=A(A(A(4)))=A(A(25))=A(676)= 677^2 = 458329
Thus,
The answer is D<|endoftext|> | 71,070 |
<|im_start|>user
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Answer Choices: (A) 10 (B) 11 (C) 12 (D) 10.8 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed = 60 ... | 40,197 |
<|im_start|>user
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Answer Choices: (A) 228 (B) 280 (C) 287 (D) 115 (E) 191<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 33,913 |
<|im_start|>user
A train covers a distance of 36 km in 12 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 330 (B) 340 (C) 350 (D) 360 (E) 370<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (36/12 * 60) km/hr = (180 * 5/18) m/sec = 50 m/sec.
Length of the... | 33,483 |
<|im_start|>user
What is the average of the first 10 multiples of 11?
Answer Choices: (A) 55.5 (B) 61.5 (C) 53.5 (D) 78.5 (E) 60.5<|im_end|>
<|im_start|>assistant
<think>
</think>
(11 + 22 + ... + 110)/10
=11(1 + 2 + ... + 10)/10
=11(10)(11)/(10*2)
=121/2
=60.5
Option E
The answer is E<|endoftext|> | 20,643 |
<|im_start|>user
What do you call the first cell of a new organism?
Answer choice: (A) embryo (B) starter cell (C) egg (D) zygote<|im_end|>
<|im_start|>assistant
<think>
</think>
Cells divide repeatedly to produce an embryo. Previously the one-celled zygote (the first cell of a new organism) divided to make two cells... | 6,000 |
<|im_start|>user
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Answer Choices: (A) 50 km (B) 56 km (C) 70 km (D) 80 km (E) 46 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the actual distance travelled be x km.
Then,x/10 = (x + 2... | 84,193 |
<|im_start|>user
A photographer is to take group photographs of a class of students for the school magazine such that each photograph should have five students. If there are four girls and four boys in the class and each photograph must not have two girls or two boys standing together, how many different photographs ca... | 50,248 |
<|im_start|>user
If a = -1, what is the value of –(a^2 + a^3 + a^4 + a^5+a^6)?
Answer Choices: (A) -14 (B) -4 (C) -1 (D) 4 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
if a = -1, then putting values in equation
= -[ (-1)^2 + (-1)^3 + (-1^4) + (-1^5)+(-1^6) ]
= -[ 1 - 1 + 1 - 1 + 1]
= -1
The answer is C<|en... | 87,815 |
<|im_start|>user
For any number s, s* is defined as the greatest positive even integer less than or equal to s. What is the value of 5.2 – 5.2*?
Answer Choices: (A) 0.2 (B) 1.2 (C) 1.8 (D) 2.2 (E) 4.0<|im_end|>
<|im_start|>assistant
<think>
</think>
Since s* is defined as the greatest positive even integer less than ... | 1,411 |
<|im_start|>user
In the xy-plane, a line has slope 3 and x-intercept 6. What is the y-intercept of the line?
Answer Choices: (A) -18 (B) -3 (C) 0 (D) 3 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also gi... | 50,024 |
<|im_start|>user
There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.
Answer Choices: (A) 5 (B) 6 (... | 41,152 |
<|im_start|>user
Oxygen, carbon, hydrogen and what other element make up approximately 96% of living matter?
Answer choice: (A) calcium (B) helium (C) nitrogen (D) silicon<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 6,103 |
<|im_start|>user
On his first 4 tests, John received an average score of X points. If on his fifth test, he exceeds his previous average score by 30 points, what is his average score for his first 5 tests?
Answer Choices: (A) X +6 (B) X +5 (C) X +4 (D) X (E) X +10<|im_end|>
<|im_start|>assistant
<think>
</think>
Tota... | 71,312 |
<|im_start|>user
8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 11th and the 20th terms?
Answer Choices: (A) 324 (B) 335 (C) 346 (D) 357 (E) 368<|im_end|>
<|im_start|>assistant
<think>
</think>
The first term is 8 = 11 – 3. The second term is 19 = 22 – 3, the third term is 30 = 3 × 11 – 3, the... | 61,490 |
<|im_start|>user
A certain rectangular crate measures 8 feet by 14 feet by 16 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Answer Choices:... | 90,518 |
<|im_start|>user
The hemisphere that is tilted away from the sun is cooler because it receives less what?
Answer choice: (A) direct electrons (B) x-rays (C) direct rays (D) pollution<|im_end|>
<|im_start|>assistant
<think>
</think>
The hemisphere that is tilted away from the Sun is cooler because it receives less dir... | 3,794 |
<|im_start|>user
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 42, what is the possible maximum range of the temperatures?
Answer Choices: (A) 20 (B) 25 (C) 40 (D) 45 (E) 86<|im_end|>
<|im_start|>assistant
<think>
</think>
there are 5 days so the sum of temperature can be 50*5... | 91,297 |
<|im_start|>user
Light can be used to eject what from a solid material?
Answer choice: (A) protons (B) calories (C) electrons (D) neutrons<|im_end|>
<|im_start|>assistant
<think>
</think>
Under the right conditions, light can be used to eject electrons from a solid material.
The answer is C<|endoftext|> | 9,843 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Personification is giving human characteristics to nonhuman things.
The trees danced in the wind... | 6,128 |
<|im_start|>user
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 85. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
Answer Choices: (A) 2 (B) 5 (C) 6 (D) 15 (E) 30<|im_end|>
<|im_start|>assistan... | 35,021 |
<|im_start|>user
An ammeter must be connected in series with what to allow it to accurately measure the current flow without causing any disruptions?
Answer choice: (A) insulators (B) configurations (C) resistors (D) capacitors<|im_end|>
<|im_start|>assistant
<think>
</think>
An ammeter measures the current traveling... | 1,169 |
<|im_start|>user
A taxi company charges $1.40 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
Answer Choices: (A) 4 miles (B) 4 1/4 miles (C) 4 3/4 miles (D) 5 1/2 miles (E) 6 miles<|im_end|>
<|im_start|>assistant
<th... | 57,450 |
<|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 12 sec, then the speed of each train is?
Answer Choices: (A) 10 (B) 18 (C) 36 (D) 72 (E) 64<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the speed ... | 56,201 |
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