text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
David covered a distance of 50 miles on his first trip. On a later trip he traveled 50 miles while going three times as fast. His new time compared with the old time was:
Answer Choices: (A) twice as much (B) three times as much (C) the same (D) half as much (E) a third as much<|im_end|>
<|im_start|>as... | 8,255 |
<|im_start|>user
If k and y are integers, then ky(k + y) is
Answer Choices: (A) Always positive (B) Always negative (C) Positive when k is positive (D) Negative when k is negative (E) It cannot be determined by the information given<|im_end|>
<|im_start|>assistant
<think>
</think>
Given k and y are integers, then ky(... | 16,077 |
<|im_start|>user
What is the scope including 1/41+1/42+1/43+......+1/50?
Answer Choices: (A) 1/6~1/5 (B) 1/5~1/4 (C) 1/4~1/3 (D) 1/3~1/2 (E) 1/2~1<|im_end|>
<|im_start|>assistant
<think>
</think>
For Maximum value : It should be less than 1/41 + 1/41 +1/41... 10 times = 10/41 ~ 1/4
For Minimum Value : It should be gr... | 79,685 |
<|im_start|>user
What should come in place of the question mark (?) in each of the following questions ?
12 + 22 + 32 + ... + 102 = ?
Answer Choices: (A) 400 (B) 625 (C) 380 (D) 385 (E) 370<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Sum of the squares of first 'n' natural number = n(n+l)(2n+l)/6 P... | 73,546 |
<|im_start|>user
In a throw of dice what is the probability of getting number greater than 5
Answer Choices: (A) 1/2 (B) 1/3 (C) 1/5 (D) 1/6 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number greater than 5 is 6, so only 1 number
Total cases of dice = [1,2,3,4,5,6]
So probability =... | 79,358 |
<|im_start|>user
Find the odd man out 17, 39, 171, 347
Answer Choices: (A) 18 (B) 18 (C) 83 (D) 82 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
6 x 2+5=17
17 x 2+5=39
39 x 2+5=83
83 x 2+5=171
The answer is C<|endoftext|> | 30,087 |
<|im_start|>user
Scientists often classify or organize different objects based on their what?
Answer choice: (A) experimental properties (B) behavioral traits (C) physical properties (D) independent variables<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 3,597 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, i... | 3,169 |
<|im_start|>user
Which of the following equations has a solution in common with x^2 - 2x - 15 = 0?
Answer Choices: (A) x^2 - 6x + 9 = 0 (B) x^2 + 2x - 15 = 0 (C) 2x^2 + 9x + 9 = 0 (D) 2x^2 + x - 3 = 0 (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Given : x^2 - 2x - 15 => (x+3) (x-5) = 0 => 5 ... | 30,457 |
<|im_start|>user
The compound ratio of 5:6, 3:2 and 4:5?
Answer Choices: (A) 1:8 (B) 1:0 (C) 1:7 (D) 1:1 (E) 1:6<|im_end|>
<|im_start|>assistant
<think>
</think>
5/6 * 3/2 * 4/5 = 1/1
1:1
The answer is D<|endoftext|> | 90,436 |
<|im_start|>user
What is an example of a biochemical lipid that contributes to weight gain?
Answer choice: (A) acids (B) fats (C) sugars (D) proteins<|im_end|>
<|im_start|>assistant
<think>
</think>
You’ve probably seen dozens of nutrition facts labels like the one in the opening image. The labels show the nutrients ... | 7,256 |
<|im_start|>user
What is the units digit of (3^16)(4^13)?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
-> The ones place of (~3)^n repeats after 4 times like 39713.
The ones place of (~4)^n repeats after 2 times like 464.
Then, 3^16=3^4*4=3^0=1.,
4^13=4^2*6+1=4... | 23,043 |
<|im_start|>user
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $192, how many hours overtime did he work?
Answer Choices: (A) 8 (B) 5 (C) 9 (D) 6 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
At $3 per hour up to 40 hours, regular pay = $3 ... | 32,813 |
<|im_start|>user
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 6 like all. How many people like apple?
Answer Choices: (A) 47 (B) 49 (C) 54 (D) 58 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
orange+mango-apple=7
mango+apple-orange=10
apple=40
ora... | 61,685 |
<|im_start|>user
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 8 € (4 € 5) =
Answer Choices: (A) 80 (B) 120 (C) 160 (D) 640 (E) 760<|im_end|>
<|im_start|>assistant
<think>
</think>
working inside out,
(4 € 5) = 2*4*5 = 40
8 € 40 = 2*8*40 = 640
Hence,
The answer is D<|endoftext|> | 19,344 |
<|im_start|>user
If x and y are prime numbers, which of the following CANNOT be ( x + Y )?
Answer Choices: (A) 5 (B) 23 (C) 13 (D) 16 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
All answer choices but B are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.... | 46,870 |
<|im_start|>user
A firm has 4 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Answer Choices: (A) 66 (B) 74 (C) 82 (D) 90 (E) 98<|im_e... | 85,586 |
<|im_start|>user
-20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 7 greater than the preceding term. Which of the following could not be a term in the sequence?
Answer Choices: (A) 0 (B) 200 (C) 455 (D) 665 (E) 763<|im_end|>
<|im_start|>assistant
<think>
</think>
Ans : B
Since 200 is not ... | 24,174 |
<|im_start|>user
The selling price of 40 apples is equal to cost price of 35 apples. Find the profit or loss obtained.
Answer Choices: (A) Gain of 5.5 % (B) Gain of 12.5 % (C) Loss of 5.5 % (D) Loss of 12.5 % (E) Loss of 10 %<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let C.P. of each apple be Re 1... | 40,314 |
<|im_start|>user
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Answer Choices: (A) 79.7 km/hr (B) 89.2 km/hr (C) 79.3 km/hr (D) 79.2 km/hr (E) 49.2 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m ... | 19,775 |
<|im_start|>user
If p is an odd integer, which of the following must also be odd?
Answer Choices: (A) 4p + 4 (B) p + p (C) 3p + 3 (D) 2p + p (E) p^2 + 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Things to keep in mind:
Odd + odd = even
Odd + even = odd
Odd*odd = odd
Odd*even = even
On checking each option
A. 4... | 20,173 |
<|im_start|>user
If two letters are chosen at random (without replacement) from the word HORSEBACK, what is the probability that none of the letters are vowels?
Answer Choices: (A) 4/9 (B) 5/9 (C) 5/12 (D) 7/24 (E) 11/36<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways to choose two letters is 9C2 ... | 14,706 |
<|im_start|>user
4 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Answer Choices: (A) 18:19 (B) 17:19 (C) 15:19 (D) 18:14 (E) 18:11<|im_end|>
<|im_start|>assistant
<think>
</think>
4M + 12B ----- 4 days
7M + 6B ------- 5 days... | 87,808 |
<|im_start|>user
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students Q in the class?
Answer Choices: (A) A) 10 (B) B) 12 (C) ... | 24,784 |
<|im_start|>user
What is the biogeochemical cycle that recycles water called?
Answer choice: (A) water cycle (B) water theory (C) Liquid Cycle (D) Water Table<|im_end|>
<|im_start|>assistant
<think>
</think>
The biogeochemical cycle that recycles water is the water cycle. The water cycle involves a series of intercon... | 2,294 |
<|im_start|>user
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is?
Answer Choices: (A) 24 kg (B) 62 kg (C) 34 kg (D) 31 kg (E) 37 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Let A, B, C represent their respective weights... | 54,706 |
<|im_start|>user
What is the difference between the place value and face value of 3 in the numeral 1375?
Answer Choices: (A) 287 (B) 290 (C) 297 (D) 390 (E) 398<|im_end|>
<|im_start|>assistant
<think>
</think>
place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
C
The answer is C<|endoftext|> | 6,268 |
<|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... | 4,638 |
<|im_start|>user
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?
Answer Choices: (A) 10% (B) 33.33% (C) 40% (D) 50% (E) 66.67%<|im_end|>
<|im_start|>assistant
<think>... | 59,375 |
<|im_start|>user
Pepsin and trypsin are examples of enzymes involved in what bodily process?
Answer choice: (A) digestion (B) filtration (C) regeneration (D) perspiration<|im_end|>
<|im_start|>assistant
<think>
</think>
Various conditions affect enzyme function. Pepsin and trypsin are two digestive enzymes that work ... | 9,770 |
<|im_start|>user
Hari purchased 20 dozen notebook at Rs. 48 per dozen. He sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is his profit percentage in the transaction?
Answer Choices: (A) 8% (B) 15% (C) 16% (D) none of the above (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</... | 40,557 |
<|im_start|>user
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Answer Choices: (A) 80, 49 (B) 80, 40 (C) 80, 48 (D) 80, 46 (E) 82, 41<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60... | 62,382 |
<|im_start|>user
What system transports many substances to and from cells throughout the body?
Answer choice: (A) nutritional (B) physiological (C) cardiovascular (D) circulatory<|im_end|>
<|im_start|>assistant
<think>
</think>
The cardiovascular system transports many substances to and from cells throughout the body... | 7,421 |
<|im_start|>user
Which carbohydrates can be classified in terms of chain length?
Answer choice: (A) binary (B) atomic (C) complex (D) simple<|im_end|>
<|im_start|>assistant
<think>
</think>
Simple carbohydrates can be classified in terms of chain length.
The answer is D<|endoftext|> | 711 |
<|im_start|>user
Three small cruise ships, each carrying 9 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected... | 95,400 |
<|im_start|>user
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.240 in 2 years?
Answer Choices: (A) 217 (B) 287 (C) 400 (D) 288 (E) 171<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
240 = P(21/20)2
P = 217
The answer is A<|endoftext|> | 27,488 |
<|im_start|>user
One used-car salesperson receives a commission of $ 200 plus 3 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commissio... | 32,903 |
<|im_start|>user
How many ways are there to select a subcommittee of 11 members from among a committee of 17?
Answer Choices: (A) 12376 (B) 19448 (C) 28791 (D) 27711 (E) 12111<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Since it does not matter what order the committee members are chosen in, the com... | 2,430 |
<|im_start|>user
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 16 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Tow... | 39,704 |
<|im_start|>user
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Answer Choices: (A) 116.68 (B) 116.11 (C) 116.19... | 73,574 |
<|im_start|>user
How many positive two-digit whole numbers are divisible by 7?
Answer Choices: (A) 11 (B) 9 (C) 15 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
The largest two-digit number that is a multiple of 7 is 7x14 = 98.
Thus, there are 14 positive multiples of 7 that are less than 100.
Howeve... | 31,571 |
<|im_start|>user
A dealer originally bought 90 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Answer Choices: (A) q/60 (B) 3q/2 (C) 145q (D) q/90 (E) 145/q<|im_end|>
<|im_start... | 8,660 |
<|im_start|>user
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Answer Choices: (A) 10 (B) 15 (C) 17 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. In this case, repetitions are not allowed. So, the ... | 10,079 |
<|im_start|>user
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Answer Choices: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
B's 10 day's work = (10*1/15) = 2/3.
Rem... | 25,308 |
<|im_start|>user
If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
Answer Choices: (A) 21 (B) 20 (C) 19 (D) 18 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
DON = 4+14+15=33 i.e(3*3)+(3*3)=18
The answer is D<|... | 63,099 |
<|im_start|>user
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Answer Choices: (A) 3 (B) 4 (C) 9 (D) 3 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
P(1 + 20/100)n > 2P or (6/5)n > 2
Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years.... | 92,952 |
<|im_start|>user
A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ?
Answer Choices: (A) Rs.1160 (B) Rs.1260 (C) Rs.1200 (D) Rs.1250 (E) Rs.1280<|im_end|>
<|im_start|>assistant
<think>
</think>
let the new sp be Rs x.then
(100-loss%) : (1st sp)=(100+gai... | 97,418 |
<|im_start|>user
If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following?
I. 7
II. 2
III. 3
Answer Choices: (A) II only (B) I and II only (C) I only (D) II and III only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</... | 34,456 |
<|im_start|>user
A computer wholesaler sells 11 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Answer Choices: (A... | 87,475 |
<|im_start|>user
The cost of an article is decreased by 10%. If the original cost is $60, find the decrease cost.
Answer Choices: (A) 33 (B) 12 (C) 68 (D) 36 (E) 54<|im_end|>
<|im_start|>assistant
<think>
</think>
Original cost = $60
Decrease in it = 10% of $60
= 10/100 × 60
= 600/100
= $6
Therefore, decrease cost =... | 34,724 |
<|im_start|>user
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 39000, then the share of B is?
Answer Choices: (A) A) 34500 (B) B) 24000 (C) C) 24098 (D) D) 19007 (E) E) 18000<|im_end|>
<|im_start|>assistant
<think>
<... | 63,957 |
<|im_start|>user
Mary's income is 60% more Than Tim's income and Tim's income is 50% less than Juan's income.What % of Juan's income is Mary's income.
Answer Choices: (A) 124% (B) B.120% (C) 96% (D) 80% (E) 64%<|im_end|>
<|im_start|>assistant
<think>
</think>
Even I got 96%
J = 100
T = 100*0.5 = 50
M = 50*1.6 = 80
If... | 61,738 |
<|im_start|>user
In particular old age home, 60% are suffering from diabetic and at the same time 80% are suffering from blood pressure.If suppose 75% are suffering from diabetic,what percentage of old people suffering from blood pressure at the same old age home?
Answer Choices: (A) 23 (B) 16 (C) 26 (D) 36 (E) 20<|im_... | 86,183 |
<|im_start|>user
In what kind of bond does one atom contribute both of the electrons in the shared pair?
Answer choice: (A) a valence bond (B) a metallic bond (C) an ionic bond (D) a covalent bond<|im_end|>
<|im_start|>assistant
<think>
</think>
The carbon monoxide molecule is correctly represented by a triple covale... | 3,407 |
<|im_start|>user
Today John is twice as old as Sam and Sam is 2 years younger than Mike. If John, Sam, and Mike are all alive 6 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike
Answer Choices: (A) I (B) I,... | 82,204 |
<|im_start|>user
A rectangular swimming pool is 10 feet by 12 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 360 square feet. What is the width of the deck?
Answer Choices: (A) 7 (B) 2 (C) 3 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the width =W
T... | 85,393 |
<|im_start|>user
Rodrick mixes a martini that has a volume of 'n' ounces having 30% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Answer Choices: (A) n/6 (B) n/3 (C) n/5 (D) 5n/6 (E) 8n/5<|im_end|>
<|im_start|>assistant
<think>
... | 48,970 |
<|im_start|>user
There are 7 meetings A,B,C,D,E,F,G. One meeting should be happen in one day. Meeting A is on Sunday and the meetings shoud be happen afterB. Then E ,F,G meeting occur in 3 conjucutive day. And meeting G is on Saturday.Next metting should occur in which day?
Answer Choices: (A) sunday (B) monday (C) tue... | 5,701 |
<|im_start|>user
What crust is thinner and denser than continental crust?
Answer choice: (A) land (B) coastal (C) oceanic (D) asteroid<|im_end|>
<|im_start|>assistant
<think>
</think>
Oceanic crust is thinner and denser than continental crust.
The answer is C<|endoftext|> | 7,443 |
<|im_start|>user
Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train. starts at the same time towards the other train. as soon as it reaches the second on... | 10,623 |
<|im_start|>user
The number of roots common between the two equations x3+3x2+4x+5=0x3+3x2+4x+5=0 and x3+2x2+7x+3=0x3+2x2+7x+3=0 is
Answer Choices: (A) 22 (B) 27 (C) 13 (D) 88 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Here f(x) = x3+3x2+4x+5=0x3+3x2+4x+5=0 and g(x) = x3+2x2+7x+3=0x3+2x2+7x+3=0
To find th... | 27,933 |
<|im_start|>user
The second day of a month is Friday, What will be the last day of the next month which has 31 days?
Answer Choices: (A) Friday (B) Saturday (C) Wednesday (D) Data inadequate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
We cannot find out
The answer is D<|endoftext|... | 27,745 |
<|im_start|>user
If Rahul earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
Answer Choices: (A) 1/4 (B) 1/5 (C) 1/10 (D) 9/100 (E) 1/20<|im_end|>
<|im_start|>assistant
<think>
</think>
Perhaps it is also easy to just translate the % into fractions:
6%: 6/100 = 3/50
... | 79,804 |
<|im_start|>user
If p and q are prime numbers, how many divisors does the product p^3 * q^6 have?
Answer Choices: (A) 9 (B) 12 (C) 18 (D) 28 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
Lets take an example: find the number of factors of 100
try to represent 100 in least possible prime numbers
100= 2^2 * 5... | 23,620 |
<|im_start|>user
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Answer Choices: (A) 20 (B) 24 (C) 27 (D) 28 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
Th... | 70,082 |
<|im_start|>user
Commensalism, mutualism, and parasitism are known as what type of relationships?
Answer choice: (A) simple (B) symbiotic (C) peculiar (D) various<|im_end|>
<|im_start|>assistant
<think>
</think>
19.4 Community Ecology Communities include all the different species living in a given area. The variety o... | 3,333 |
<|im_start|>user
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 64 days after his birthday?
Answer Choices: (A) Thursday (B) Friday (C) Saturday (D) Sunday (E) Monday<|im_end|>
<|im_start|>assistant
<think>
</think>
Day of week after 64 days after Arman's birthday = 7*9 + 1
Saturday as the p... | 25,271 |
<|im_start|>user
Evaluate permutation
6P6
Answer Choices: (A) 710 (B) 720 (C) 730 (D) 740 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
nPn=n!
6P6=6*5∗4∗3∗2∗1=720
Option B
The answer is B<|endoftext|> | 48,599 |
<|im_start|>user
The word antibiotic comes from the greek anti, meaning “against,” and bios, meaning this?
Answer choice: (A) bacteria (B) life (C) germ (D) virus<|im_end|>
<|im_start|>assistant
<think>
</think>
The Antibiotic Crisis The word antibiotic comes from the Greek anti, meaning “against,” and bios, meaning ... | 4,587 |
<|im_start|>user
A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
Answer Choices: (A) 8 (B) 7 (C) 4 (D) 6 (E) 09<|im_end|>
<|im_start|>assistant
<think>
</think>
If a car covers ... | 1,010 |
<|im_start|>user
If Bella's income is Rs 27000, calculate her savings given that her income and expenditure are in the ratio 6:5.?
Answer Choices: (A) Rs.4300 (B) Rs.4500 (C) Rs.7500 (D) Rs.2500 (E) Rs.5500<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs.6x and ... | 71,764 |
<|im_start|>user
45% of 750 - 25% of 480 = ?
Answer Choices: (A) 216 (B) 217.5 (C) 236.5 (D) 245 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Given expression = (45/100 x 750) - (25/100 x 480)
= (337.50 - 120)
= 217.50
The answer is B<|endoftext|> | 32,753 |
<|im_start|>user
Each myofibril is made up of two types of proteins, called actin and what?
Answer choice: (A) dynein (B) elongation (C) myosin (D) Fatty Acid<|im_end|>
<|im_start|>assistant
<think>
</think>
Each myofibril is made up of two types of proteins, called actin and myosin. These proteins form thread-like f... | 7,928 |
<|im_start|>user
What is the least possible value of expression E = (x-1)(x-3)(x-4)(x-6)+10 for real values of x?
Answer Choices: (A) 1 (B) 10 (C) 9 (D) 0 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
E = (x-1)(x-6)(x-3)(x-4)+10
E = (x2-7x+6)(X2-7x+12)+10
Let x2-7x+6 = y
E = y2+6y+10
E = (y+3)2... | 1,566 |
<|im_start|>user
How many total number of ways in which x distinct objects can be put into two different boxes is
Answer Choices: (A) n2 (B) 2x (C) 2n (D) 3n (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the two boxes be B1 and B2. There are two choices for each of the x objects. So, the tota... | 36,849 |
<|im_start|>user
Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.60 a kg to produce a mixture worth Rs.6.30 a kg?
Answer Choices: (A) 1 : 3 (B) 2 : 3 (C) 3 : 4 (D) 7 : 9 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required ratio = 70 : 90 = 7 : 9
The answer is D... | 89,952 |
<|im_start|>user
A circular mat with diameter 16 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Answer Choices: (A) 5/12 (B) 2/5 (C) 1/3 (D) 3/4 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 6,853 |
<|im_start|>user
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Answer Choices: (A) 140 (B) 150 (C) 160 (D) 170 (E) 180<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15... | 49,550 |
<|im_start|>user
What will be the compound interest earned on an amount of Rs. 5000 in 2 years?
I. The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000.
II. The compound interest and the simple interest earned in one year is the same.
III. The amount becomed more than double on com... | 18,635 |
<|im_start|>user
If the sides of a triangle are 30 cm, 40 cm and 50 cm, what is its area?
Answer Choices: (A) 400 (B) 500 (C) 550 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
The triangle with sides 30 cm, 40 cm and 50 cm is right angled, where the hypotenuse is 50 cm.
Area of the triangle = 1/2 *... | 36,180 |
<|im_start|>user
A man want to buy 2 cars. If there are 10 cars that satisfy the man's criteria,in how many different ways can the man select the 2 cars if the order of selection doesn't matter.
Answer Choices: (A) 54 (B) 120 (C) 32 (D) 210 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of ways of... | 67,230 |
<|im_start|>user
Which body system releases hormones that act on target cells to regulate development, growth, energy metabolism, reproduction, and many behaviors?
Answer choice: (A) pituitary (B) lymphatic (C) endocrine system (D) exocrine system<|im_end|>
<|im_start|>assistant
<think>
</think>
37.5 | Endocrine Glan... | 2,731 |
<|im_start|>user
From 2008 to 2009, the number of Easter eggs in a certain egg hunt rose 20%, then fell 17% from 2009 to 2010. From 2008 to 2009, the ratio of Easter eggs to Easter bunnies in the same hunt fell 20%, then rose 22% from 2009 to 2010. By what approximate percent did the number of bunnies change over the f... | 94,155 |
<|im_start|>user
A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Answer Choices: (A) 3 min (B) 4.2 min (C) 3.4 min (D) 5.5 min (E) 5.7 m... | 56,576 |
<|im_start|>user
The slant height of a conical mountian is 2.5 km and the area of its base is 1.54 km². The height of the mountain is:
Answer Choices: (A) 2.4 km (B) 2.6 km (C) 4.5 km (D) 5.4 km (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the radius of the base be r km. Then,
∏r² = 1.54 ⇒ r² = ... | 88,702 |
<|im_start|>user
Fine-grained mud in the deep ocean comes from silts and clays brought from the land by?
Answer choice: (A) fire (B) water (C) wind (D) waves<|im_end|>
<|im_start|>assistant
<think>
</think>
Fine-grained mud in the deep ocean comes from silts and clays brought from the land by wind. The particles are ... | 5,072 |
<|im_start|>user
Two observations were made of a clock at different time:
1st observation:
The hour hand is exactly at a minute mark and the minute hand is six minutes ahead of it.
2nd observation:
The hour hand is exactly on a dissimilar minute mark and the minute hand is seven minutes ahead of it.
Can you find out ho... | 21,606 |
<|im_start|>user
I have 300 friends on facebook and 300 on twitter. When I posted pictures of my birthday party, 50 percent of the facebook friends and 42 percent of the twitter friends "liked" my post; what percent of the total number of friends on both social media platform liked my post ?
Answer Choices: (A) 35.5% ... | 49,030 |
<|im_start|>user
A train 120 meter long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is
Answer Choices: (A) 10m/s (B) 20m/s (C) 30m/s (D) 40m/s (E) 50m/s<|im_end|>
<|im_start|>assistant
<think>
</think>
speed of 1st ... | 609 |
<|im_start|>user
Some items were bought at 6 items for Rs. 5 and sold at 5 items for Rs. 6. What is the gain percentage?
Answer Choices: (A) 44% (B) 42% (C) 46% (D) 48% (E) 41%<|im_end|>
<|im_start|>assistant
<think>
</think>
gain percentage =(6*6/5*5-1)100
=11/25*100=44%
The answer is A<|endoftext|> | 81,648 |
<|im_start|>user
How many three-digit numbers are divisible by 6 in all?
Answer Choices: (A) 149 (B) 150 (C) 151 (D) 166 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Required numbers are 102,018,114,....996.
This is an A.P with a = 102,
d= 6.
Let the number of its terms be n. Then a+(n - 1)d
‹=›... | 47,521 |
<|im_start|>user
If |z|/w = 4,which of the following must be true?
Answer Choices: (A) z = -4w (B) z = 4w (C) z^2 = 16w^2 (D) z^2 = 16w^3 (E) z^3 = 64w^3<|im_end|>
<|im_start|>assistant
<think>
</think>
|z|/w = 4.
|z| = 4w.
Then z = 4w or -4w and so z^2 = 16w^2.
The answer is C<|endoftext|> | 75,937 |
<|im_start|>user
(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
In the above equation, what is the value of x?
Answer Choices: (A) 9 (B) 7 (C) 8 (D) 6 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
D
6
(2^x)(30^3) = (2^3) (3^3) (4^3) (5^3)
(2^x)(30^3) = (120^3)
(2^x) = (120^3)/ (30^3)
(2^x) = (4^3)
(2^x) = 64
ln(2^x)... | 75,664 |
<|im_start|>user
If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4th as much as C. The amount B received is?
Answer Choices: (A) 250 (B) 270 (C) 310 (D) 330 (E) 350<|im_end|>
<|im_start|>assistant
<think>
</think>
A:B:C = 1:3:12
Total parts = 16
B's share is = 3 parts
1... | 4,170 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Amphibians have moist skin and begin their lives in water.
Question:
Select the amphibian.
Answer Choices: (A) loon (B) giraffe (C) tiger salamander (D) seahorse<|im_end|>
<|im_start|>assistant
<think>
</think>
A giraffe ... | 3,502 |
<|im_start|>user
At what time between 3 o'clock and 4 o'clock, both the needles of a clock will coincide each other?
Answer Choices: (A) 16 2/11 minutes past 3 (B) 16 4/11 minutes past 3 (C) 16 7/11 minutes past 3 (D) 16 8/11 minutes past 3 (E) 16 4/11 minutes past 3<|im_end|>
<|im_start|>assistant
<think>
</think>
H... | 32,607 |
<|im_start|>user
Where do the eggs develop?
Answer choice: (A) the uterus (B) the glands (C) the follicles (D) the ovaries<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is D<|endoftext|> | 445 |
<|im_start|>user
On decreasing the price of a colour TV by 10%, its sale is increased by 15%. The effect on the revenue is?
Answer Choices: (A) 4.5% decrease (B) 4.5 % increase (C) 16% decrease (D) 16% increase (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Net% change in revenue
= ( x + y + xy/10... | 35,065 |
<|im_start|>user
Tough and Tricky questions: Work/Rate Problems.
If it takes 60 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
Answer Choices: (A) 40/3 (B) 11 (C) 6 (D) 7/3 (E) 9/7<|im_end|>
<|im_start|>assistant
<think>
</thi... | 22,868 |
<|im_start|>user
Raj goes to market to buy oranges. If he can bargain and reduce the price per orange by Rs.2, he can buy 30 oranges instead of 20 oranges with the money he has. How much money does he have ?
Answer Choices: (A) 28 (B) 2 (C) 6 (D) 8 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation: L... | 93,529 |
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