text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
What makes up the dense outer layer of bones?
Answer choice: (A) marrow (B) scales (C) cartilage (D) compact bone<|im_end|>
<|im_start|>assistant
<think>
</think>
Compact bone makes up the dense outer layer of bones.
The answer is D<|endoftext|> | 5,014 |
<|im_start|>user
College T has 1000 students. Of the 210 students majoring in one or more of the sciences,135 are majoring in Chemistry and 155 are majoring in Biology. If at least 30 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology coul... | 84,727 |
<|im_start|>user
(4300731)-! = 2535618. Find value of !?
Answer Choices: (A) 1213441 (B) 2354546 (C) 4354556 (D) 2435454 (E) 1765113<|im_end|>
<|im_start|>assistant
<think>
</think>
Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113
E
The answer is E<|endoftext|> | 26,758 |
<|im_start|>user
What type of electrons do all group 14 elements have four of?
Answer choice: (A) second layer (B) internal (C) shell (D) valence<|im_end|>
<|im_start|>assistant
<think>
</think>
Group 14 is called the carbon group. Carbon (C) is a nonmetal. The next two elements are metalloids, and the final two are ... | 10,556 |
<|im_start|>user
What are the two main types of sedimentary rocks?
Answer choice: (A) sandstone and shale (B) clastic and chemical (C) shale and limestone (D) basalt and dolomite<|im_end|>
<|im_start|>assistant
<think>
</think>
There are two main types of sedimentary rocks: clastic and chemical. Clastic rocks are mad... | 515 |
<|im_start|>user
Insert the missing number.
7, 26, 63, 124, 215, 342, (....)
Answer Choices: (A) 222 (B) 737 (C) 388 (D) 511 (E) 200<|im_end|>
<|im_start|>assistant
<think>
</think>
Numbers are (23 - 1), (33 - 1), (43 - 1), (53 - 1), (63 - 1), (73 - 1) etc.
So, the next number is (83 - 1) = (512 - 1) = 511.
The answe... | 65,582 |
<|im_start|>user
If a set consists of all positive digits less than or equal to 3 and of the squares of those digits, what is the mode of the set?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
let set X= {1, 1.5, 2, 2.5, 3}
Set in question consists of even the squares ... | 30,459 |
<|im_start|>user
The 7th grade French and Spanish classes each have 21 students in them, and there are six students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Answer Choices: (A) 24 (B) 28... | 52,370 |
<|im_start|>user
How many times are the hands of a clock at right angle in a day?
Answer Choices: (A) 22 (B) 44 (C) 41 (D) 21 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
Correct Answer : B
In 12 hour hands of clock are at right angle 22 times
In 24 hour hands of clock are at right angle 44 times
The answe... | 71,418 |
<|im_start|>user
One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 8 robots altogether, if the robots build only one r... | 66,273 |
<|im_start|>user
I. q-14, q, q, q, q+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Answer Choices: (A) I, II, III (B) I, III, II (C) II, III, I (D) III, I, II (E) III, II, I<|im_end|>... | 75,378 |
<|im_start|>user
The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?
Answer Choices: (A) 17 (B) 35 (C) 20 (D) 32 (E) 21<|im_end|>
<|im_start|>assistant
<think>
</think>
Age of B = Age of (A + B + C) – Age of (A + C) = 25 × 3 – 29 × 2 = 75 – 58 ... | 3,282 |
<|im_start|>user
A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Answer... | 62,509 |
<|im_start|>user
What is responsible for the properties of metals?
Answer choice: (A) the metallic properties (B) the metallic presence (C) the metallic bond (D) the metallic yield<|im_end|>
<|im_start|>assistant
<think>
</think>
The metallic bond is responsible for the properties of metals.
The answer is C<|endoftex... | 10,879 |
<|im_start|>user
Red-green color blindness is an example of a sex-linked condition caused by what?
Answer choice: (A) recessive allele (B) phenotype (C) dominant gene (D) genetic disorder<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 8,994 |
<|im_start|>user
What term refers to patterns of stars seen from earth?
Answer choice: (A) constellations (B) astronomers (C) horoscope (D) astrology<|im_end|>
<|im_start|>assistant
<think>
</think>
Constellations are patterns of stars seen from Earth. These stars are usually not near each other.
The answer is A<|end... | 4,887 |
<|im_start|>user
If 40 men can make 30 boxes in 20 days, How many more men are needed to make 60 boxes in 25 days?
Answer Choices: (A) 28 (B) 24 (C) 22 (D) 26 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given that 40 men can make 30 boxes in 20 days
Let x more men are needed to make 60 boxes... | 33,104 |
<|im_start|>user
A chair is bought for Rs.600/- and sold at a loss of 10% find its selling price
Answer Choices: (A) Rs.500/- (B) Rs.540/- (C) Rs.600/- (D) Rs.640/- (E) Rs.660/-<|im_end|>
<|im_start|>assistant
<think>
</think>
100 % ------> 600 (100 * 6 = 600)
90 % ------> 540 (90 * 6 = 540)
Selling price = Rs.540/-
... | 14,008 |
<|im_start|>user
Geysers erupt because what boiling hot substance is trapped beneath their surface?
Answer choice: (A) gas (B) water (C) lava (D) oil<|im_end|>
<|im_start|>assistant
<think>
</think>
Geysers erupt because the water is trapped. The water becomes superheated until finally the pressure builds enough for ... | 5,445 |
<|im_start|>user
For which of the following functions is f(z+b)=f(z)+f(b) for all positive numbers z and b?
Answer Choices: (A) a) f(x) =x^2 (B) b) f(x) =x+1 (C) c) f(x) =root x (D) d) f(x) =2/x (E) e) f(x) = -3x<|im_end|>
<|im_start|>assistant
<think>
</think>
f(z+b)=f(z)+f(b) Its E
The answer is E<|endoftext|> | 19,448 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 3,786 |
<|im_start|>user
Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is possible that t is NOT divisible by
Answer Choices: (A) 6 (B) 3 × 2^a (C) 2 × 3^(2a) (D) 6^a (E) 6^(2a) <|im_end|>
<|im_start|>assistant
<think>
</think>
Since, t is divisible by 2^a and 3^(2a), it mu... | 35,513 |
<|im_start|>user
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is ?
Answer Choices: (A) 25/42 (B) 25/49 (C) 25/27 (D) 25/19 (E) 25/25<|im_end|>
<|im_start|>assistant
<think>
</think>
Total fruits = 9
Since there must be at least two apples,
(... | 22,570 |
<|im_start|>user
FOG + FOG + FOG + FOG = 1468.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
given,FOG + FOG + FOG + FOG = 1468
4(FOG)=1468
=>FOG=367
Face value of F is:3
F... | 24,311 |
<|im_start|>user
For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 25 true?
Answer Choices: (A) 1 (B) 3 (C) 5 (D) 2 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer D
(a+b)(a-b)=25
5cases For (a+b), (a-b)
25, 1
5, 5
The answer is D<|endoftext|> | 53,696 |
<|im_start|>user
An internet recently hired 8 new network,in addvertisement 20 network already employed.All new network cam from university A.In addition 75%of computer addvertisement came from same university A.what fraction of original 20 network addvertisement came from same univerity A? pls help to solve
Answer Cho... | 87,779 |
<|im_start|>user
What is the area of a square field whose diagonal of length 40 m?
Answer Choices: (A) 287 (B) 269 (C) 750 (D) 200 (E) 800<|im_end|>
<|im_start|>assistant
<think>
</think>
d2/2 = (40 * 40)/2
= 800
The answer is E<|endoftext|> | 92,765 |
<|im_start|>user
A grocer has a sale of Rs. 5000 Rs. 5500, Rs. 6000, Rs. 6500 and Rs. 7000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6125?
Answer Choices: (A) s. 6500 (B) s. 7000 (C) s. 7271 (D) s. 4997 (E) s. 5000<|im_end|>
<|im_start|>assistant
<thi... | 21,043 |
<|im_start|>user
A store reported total sales of $416 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
Answer Choices: (A) 2% (B) 17% (C) 30% (D) 65% (E) 83%<|im_end|>
<|im_start|>assistant
<think>
</think>
New V... | 49,539 |
<|im_start|>user
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Answer Choices: (A) 17/28 (B) 17/27 (C) 17/19 (D) probability of 17/20 (E) 17/22<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) = 20
n(Even no) = 10 = n(E)
n... | 7,492 |
<|im_start|>user
A man sells a horse for Rs.860 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Answer Choices: (A) 287 (B) 879 (C) 967 (D) 900 (E) 998<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = SP + 1CP = SP - g
860 + x ... | 68,442 |
<|im_start|>user
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Answer Choices: (A) 33 (B) 88 (C) 27 (D) 10 (E) 88<|im_end|>
<|im_start|>assista... | 48,223 |
<|im_start|>user
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.45000, find their shares?
Answer Choices: (A) s.17000, Rs.2500 (B) s.18000, Rs.35059 (C) s.16000, Rs.27000 (D) s.14000, Rs.25000 (E) s.18000, Rs.27... | 9,346 |
<|im_start|>user
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour. If both Tom and Linda travel indefinitely, what is t... | 43,905 |
<|im_start|>user
In how many ways can a team of 4 persons be formed out of a total of 8 persons such that two particular persons should be included in each team?
Answer Choices: (A) 15 (B) 20 (C) 18 (D) 22 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
Two particular persons should be included in each team. ... | 38,205 |
<|im_start|>user
What happens to cells in a hypertonic solution as water leaves the cell via osmosis?
Answer choice: (A) shrinkage (B) get larger (C) evaporation (D) self destruction<|im_end|>
<|im_start|>assistant
<think>
</think>
The movement of water molecules is not itself regulated by cells, so it is important t... | 1,980 |
<|im_start|>user
There can be myriad ways to create a palindrome. One day, I thought of making my own palindrome. I thought of a number and then decided to add the reversed number to it. Sadly, I did not get a palindrome.
So I kept repeating this step and eventually I succeeded in creating a palindrome. I don't know if... | 64,669 |
<|im_start|>user
If 6 - 12/X = 7 - 7/X, then X =
Answer Choices: (A) -5 (B) 19 (C) -7/5 (D) 1 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
We're given the equation 6 - 12/X = 7 - 7/X. We're asked for the value of X.
The common-denominator of these 4 numbers is X, so we need to multiply both sides of the e... | 47,890 |
<|im_start|>user
Insulin is produced by what part of the body?
Answer choice: (A) kidneys (B) liver (C) pancreas (D) thyroid<|im_end|>
<|im_start|>assistant
<think>
</think>
17.9 The Endocrine Pancreas The pancreas has both exocrine and endocrine functions. The pancreatic islet cell types include alpha cells, which p... | 2,809 |
<|im_start|>user
If 1=x. 2=2x 3=4x....
what is 2x*6x+5x/4x-56x
Answer Choices: (A) 1 (B) 22 (C) 23 (D) 10 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
Let
1=x
2=2x
3=4x
4=8x
5=16x
6=32x
7=64x
now given
2x*6x+5x/4x-56x
i can write it as
=2x*(2x+4x)+(x+4x)/4x-(64x-8x)
Now by putting the values i get
=2*(2+3)... | 15,075 |
<|im_start|>user
According to dalton's law, unless they chemically react with each other, individual gases in a mixture of gases do not affect each other’s what?
Answer choice: (A) mass (B) weight (C) density (D) pressure<|im_end|>
<|im_start|>assistant
<think>
</think>
The Pressure of a Mixture of Gases: Dalton’s La... | 619 |
<|im_start|>user
If m+5/n is a prime integer, which of the following must be true?
1.n=5m
2. n is a prime integer
3. m+5/n is ODD.
Answer Choices: (A) None (B) 1 only (C) 2 only (D) 1 and 2 only (E) 2 and 3 only.<|im_end|>
<|im_start|>assistant
<think>
</think>
I would pick up numbers and do .
i hope the question is ... | 79,964 |
<|im_start|>user
A trader sold an article on a certain price with 40% profit. If he sold double of previous selling price then find its profit %
Answer Choices: (A) 140% (B) 180% (C) 120% (D) 100% (E) 150%<|im_end|>
<|im_start|>assistant
<think>
</think>
let cost price = 100%
selling price = 140%
new s.p. = 280%
p% =... | 81,682 |
<|im_start|>user
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 8 minutes 30 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Answer Choices: (A) 3% (B) 15% (C) 8... | 3,263 |
<|im_start|>user
If 150!/10^n is an integer, what is the largest possible value of n?
Answer Choices: (A) 38 (B) 47 (C) 32 (D) 36 (E) 37<|im_end|>
<|im_start|>assistant
<think>
</think>
The question actually asks the highest power of 10 which divides 150! ( For a number to be an integer - Without any remainder all th... | 20,316 |
<|im_start|>user
In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
Answer Choices: (A) 5 km/hr (B) 7 km/hr (C) 9 km/hr (D) 2 km/hr (E) 1 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Let Abhay's sp... | 66,749 |
<|im_start|>user
In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women?
Answer Choices: (A) 2660 (B) 3360 (C) 11760 (D) 17640 (E) 17200<|im_end|>
<|im_start|>assistant
<think>
</think>
To choose Required number of ways to form a committee:
Select 4 men out of 8 men and 5 ... | 55,604 |
<|im_start|>user
If 7% of the sale price of a watch is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost price of the watch?
Answer Choices: (A) Rs 400 (B) Rs 350 (C) Rs 300 (D) Rs 280 (E) Rs 380<|im_end|>
<|im_start|>assistant
<think>
</think>
Le... | 67,902 |
<|im_start|>user
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her... | 13,149 |
<|im_start|>user
A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle T in terms of h?
Answer Choices: (A) h/ √2 (B) h/2 (C) h/4 (D) (h) ^2 (E) (h) ^2/4<|im_end|>
<|im_start|>assistant
<think>
</think>
IF...each of the two shorter sides = 3, then the hypotenuse = H = 3(root2).
... | 40,619 |
<|im_start|>user
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 8 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the positi... | 81,353 |
<|im_start|>user
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8110/-. Find out the amount that he borrowed.
Answer Choices: (A) Rs. 5266 (B) Rs. 5269 (C) Rs. 5228 (D) Rs. 5218 (E) Rs. 52192<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:... | 38,967 |
<|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.
An idiom is an expression that cannot be understood literally. Its meaning must be learned.
The ... | 2,937 |
<|im_start|>user
If a - b = 3 and
a2+b2=29
, then find the value of ab
Answer Choices: (A) 7 (B) 8.5 (C) 10 (D) 12 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
2ab=(a2+b2)−(a−b)2
=> 2ab = 29 - 9 = 20
=> ab = 10
Option C
The answer is C<|endoftext|> | 86,165 |
<|im_start|>user
A train passes a platform in 32 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Answer Choices: (A) 180 meter (B) 240 meter (C) 200 meter (D) 260 meter (E) None of these<|im_end|>
<|im_start|>assistant
<th... | 75,087 |
<|im_start|>user
How many multiples of 6 are less than 5000, and also multiples of 8?
Answer Choices: (A) 104 (B) 208 (C) 625 (D) 832 (E) 833<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM of 6 & 8 = 24
Tried dividing 5000 by 24
Got quotient 208.33'So B is
The answer is B<|endoftext|> | 7,438 |
<|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... | 3,915 |
<|im_start|>user
The iconic gray mantle of the human brain, which appears to make up most of the mass of the brain, is called?
Answer choice: (A) brain stem (B) lobes (C) thrombus (D) cerebrum<|im_end|>
<|im_start|>assistant
<think>
</think>
The Cerebrum The iconic gray mantle of the human brain, which appears to mak... | 5,106 |
<|im_start|>user
If loga/b + logb/a = log (a + b), then:
Answer Choices: (A) a + b = 1 (B) a - b = 1 (C) a = b (D) a2 - b2 = 1 (E) none of these<|im_end|>
<|im_start|>assistant
<think>
</think>
loga/b+ logb/a = log (a + b)
log (a + b) = log((a/b)x(b/a))= log 1.
So, a + b = 1.
The answer is A<|endoftext|> | 28,224 |
<|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) 22 (C) 24 (D) 26 (E) 28<|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... | 8,621 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Before you decide to do something, it is often helpful to list costs and benefits.
Costs are what you give up or spend when you decide to do something. Costs involve giving up things that you want or need.
Benefits are what ... | 3,188 |
<|im_start|>user
if 6 women take an hour to dig a ditch, then how long should 18 women take a dig to ditch of the same type?
Answer Choices: (A) 25 min (B) 20 min (C) 28 min (D) 15 min (E) 10 min<|im_end|>
<|im_start|>assistant
<think>
</think>
if 6 women take an hour to dig a ditch, then
18 men will take 6*60/18 = 2... | 67,032 |
<|im_start|>user
If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.150 then sum is
Answer Choices: (A) s.15000 (B) s.15100 (C) s.15800 (D) s.16000 (E) s.16200<|im_end|>
<|im_start|>assistant
<think>
</think>
p(r/100)^2=C.I-S.I
P(10/100)^2=150
15000
The answer is A<|end... | 33,337 |
<|im_start|>user
What plant hormone allows plants to curve in a specific direction?
Answer choice: (A) peptides (B) pheremone (C) apoptosis (D) auxin<|im_end|>
<|im_start|>assistant
<think>
</think>
Plants may not be able to move to another location, but they are able to change how they grow in response to their envi... | 6,597 |
<|im_start|>user
There are 7 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Answer Choices: (A) 21 (B) 30 (C) 45 (D) 60 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
7 players are there.
two players... | 76,586 |
<|im_start|>user
The population of a village is 6000. It decreases annually at the rate of 10% p.a. What will be its population after 2 years?
Answer Choices: (A) 5000 (B) 4860 (C) 5400 (D) 4800 (E) 5120<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula :
( After =100 denominator
Ago = 100 numerator)
6000 × 9... | 35,325 |
<|im_start|>user
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 128 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 24 (B) 99 (C) 88 (D) 66 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of the boat in still water = (8... | 25,871 |
<|im_start|>user
Speed of a boat in standing water is 9kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
Answer Choices: (A) 12hours (B) 24hours (C) 36hours (D) 10hours (E) 15hours<|im_end|>
<|im_start|>assista... | 17,616 |
<|im_start|>user
What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum
Answer Choices: (A) Rs 10123.20 (B) Rs 10123.30 (C) Rs 10123.40 (D) Rs 10123.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(25000×(1+12/100)3)
=>25000×28/25×28/25×28/25
=>3... | 41,937 |
<|im_start|>user
An amount of money is to be divided among P, Q and R and in the ratio of 5:11:23 respectively. If the difference between the total share of P and Q together and R’s share is Rs. 2,800 what is the difference between Q and R’s share? [Bank 2000]
Answer Choices: (A) Rs. 6,400 (B) Rs. 3,600 (C) Rs. 4,800 (... | 65,451 |
<|im_start|>user
Find the number of factors R of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) R=6<|im_end|>
<|im_start|>assistant
<think>
</think>
As for the question, the most straightforward way is to list out the factors (this is fine for this q... | 85,926 |
<|im_start|>user
Two containers of equal capacity are full of a mixture of oil and water . In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water.
Answer Choices: (A) 149 : 247 (B) 247 : 149 (C) 143 ... | 52,319 |
<|im_start|>user
12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it so to be completed in 3 days?
Answe... | 65,137 |
<|im_start|>user
As a polycrystalline material solidifies, grains with irregular shapes form. the interfaces between grains constitute grain what?
Answer choice: (A) boundaries (B) waves (C) patterns (D) obstacles<|im_end|>
<|im_start|>assistant
<think>
</think>
Grain boundaries. As a polycrystalline material solidif... | 169 |
<|im_start|>user
On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
Answer Choices: (A) 885.5 km (B) 860 km (C) 892.5 km (D) 825 km (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation ... | 46,454 |
<|im_start|>user
A watch was sold at a loss of 15%. If it was sold for Rs.400 more, there would have been a gain of 5%. What is the cost price?
Answer Choices: (A) 1600 (B) 2998 (C) 2778 (D) 2788 (E) 2991<|im_end|>
<|im_start|>assistant
<think>
</think>
85%
120%
--------
25% ---- 400
100% ---- ? => Rs.1600
The answer... | 46,140 |
<|im_start|>user
What is the product of all the possible values of x if x^2 - 2x - 8?
Answer Choices: (A) –29 (B) –12 (C) -8 (D) 29 (E) 168<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
=> y= x^2 - 2x - 8
=> y= (x+2) (x-4)
=> x= -2, y= 4
Product x = (-2)(4) = -8
answer option -8
The answer is C<|endof... | 36,888 |
<|im_start|>user
Each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Answer Choices: (A) 1/16 (B) 5/42 (C) 1/8 (D) 3/16 (E) 1/9<|im_end|>
<|im_start|>assi... | 45,059 |
<|im_start|>user
Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.20000 is saved. What is Ajay’s income?
Answer Choices: (A) Rs.40000 (B) Rs.80500 (C) Rs.60700 (D) Rs.70500 (E) None of these<|im_end|>
<|im_start|>assistant
... | 23,450 |
<|im_start|>user
Both endotherms and ectotherms control what through behavioral responses to changes in the environment?
Answer choice: (A) body temperature (B) sleep cycles (C) hormones (D) gas temperature<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is A<|endoftext|> | 9,979 |
<|im_start|>user
In a ratio which is equal to 4:6, if the antecedent is 50, then the consequent is?
Answer Choices: (A) 75 (B) 85 (C) 64 (D) 51 (E) 45<|im_end|>
<|im_start|>assistant
<think>
</think>
We have 4/6 = 50/x
4x = 50*6
x = 75
consequent = 75
The answer is A<|endoftext|> | 22,454 |
<|im_start|>user
Meena wrote all the numbers from 1 to 59,999 inclusive. How many digits did she write in total?
Answer Choices: (A) 248,889 (B) 268,889 (C) 288,889 (D) 308,889 (E) 328,889<|im_end|>
<|im_start|>assistant
<think>
</think>
1-9=>1*9 digits
10-99=>2*90=180 (numbers between 10-99 is 90 where each has 2 di... | 37,788 |
<|im_start|>user
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent R of all the possible subcommittees that include Michael also include Anthony?
Answer Choices: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%<|im_end|... | 51,817 |
<|im_start|>user
A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
Answer Choices: (A) 80 (B) 100 (C) 120 (D) 140 (E) 160<|im_end|>
<|im_start|>assistant
<think... | 1,708 |
<|im_start|>user
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 17<|im_end|>
<|im_start|>assistant
<think>
</think>
26 trees have 25 gaps between them,
Required dista... | 14,736 |
<|im_start|>user
6 3/4 + 7 2/17 - 9 1/15=?
Answer Choices: (A) 7 719/1020 (B) 9 817/1020 (C) 9 719/1020 (D) 4 817/1020 (E) None of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Given sum=6+3/4+7+2/17-(9+1/15)
=(6+7-9)+(3/4+2/17-1/15)
=4+(765+120-68/1020
=4 817/1020
The answer is D<|endoftext|> | 74,041 |
<|im_start|>user
A toothed wheel of diameter 50cm is attached to a smaller wheel of diameter 30cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
Answer Choices: (A) 18 (B) 20 (C) 25 (D) 30 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance moved by toothed wh... | 91,501 |
<|im_start|>user
When a balloon is rubbed against hair, they attract each other because of a difference in what?
Answer choice: (A) Force (B) Friction (C) charges (D) actions<|im_end|>
<|im_start|>assistant
<think>
</think>
Did you ever rub an inflated balloon against your hair? You can see what happens in Figure bel... | 9,150 |
<|im_start|>user
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Answer Choices: (A) 10 hours (B) 13 hours (C) 17 hours (D) 21 hours (E) 25 hours<|im_end|>
<|im_s... | 68,374 |
<|im_start|>user
Calculate the value of 2.71 x 10^9 ?
Answer Choices: (A) 2710000000 (B) 271000 (C) 2710000 (D) 27100000 (E) 271000000<|im_end|>
<|im_start|>assistant
<think>
</think>
2.71 x 10^9 = 2.71 x 1000000000 = 2710000000.
The answer is A<|endoftext|> | 92,144 |
<|im_start|>user
A man has Rs. 176 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) 33 (B) 60 (C) 75 (D) 90 (E) 95<|im_end|>
<|im_start|>assistant
<think>
</think>
Let n... | 40,992 |
<|im_start|>user
A squirrel has 13 nuts, then he finds 8 more nuts. Now how many nuts he have?
Answer Choices: (A) 5 (B) 9 (C) 21 (D) 11 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
13+8=21.
The answer is C<|endoftext|> | 66,241 |
<|im_start|>user
A statue is being carved by a sculptor. The original piece of marble weighed 190 kg. In the first week 25 percent is cut away. In the second week 15 percent of the remainder is cut away. In the third week the statue is completed when 10 percent of the remainder is cut away. What is the weight of the fi... | 77,617 |
<|im_start|>user
Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?
Answer Choices: (A) 1 : 9 (B) 1 by 5 (C) 1 : 7 (D) 1 : 3 (E) 1 : 1<|im_end|>
<|im_start|>assistant
<... | 6,937 |
<|im_start|>user
A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 2 a.m.?
Answer Choices: (A) 23 Minutes (B) 21 Minutes (C) 25 Minutes (D) 26 Minutes (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
if the minute hand gains 2 ... | 70,742 |
<|im_start|>user
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Answer Choices: (A) 288 (B) 744 (C) 788 (D) 298 (E) 177<|im_end|>
<|im_start|>assistant
<think>
</think>
W = 62% L = 38%
62% - ... | 51,713 |
<|im_start|>user
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer Choices: (A) 7 sec (B) 8 sec (C) 2 sec (D) 6 sec (E) 9 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
T = 60/36 * 18/5
=6 sec
The answer is D<|endoftext|> | 3,363 |
<|im_start|>user
Two numbers A and B are such that the sum of 7% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer Choices: (A) 2 : 1 (B) 1 : 2 (C) 4 : 9 (D) 1 : 1 (E) 3 : 2<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
7% of A + 4% of B = 2/3(6% of A + 8... | 53,961 |
<|im_start|>user
What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 20 nor by 35?
Answer Choices: (A) 567 (B) 850 (C) 560 (D) 923 (E) 240<|im_end|>
<|im_start|>assistant
<think>
</think>
In 1000 consecutive numbers, number of multiples of 20 = 1000/20 = 50 (Ignore decimals)
In 100... | 82,771 |
<|im_start|>user
What are the taste receptors found as tiny bumps on the tongue called?
Answer choice: (A) ear buds (B) fat buds (C) hard buds (D) taste buds<|im_end|>
<|im_start|>assistant
<think>
</think>
Taste receptors are found in tiny bumps on the tongue called taste buds (see Figure below ). There are separate... | 3,337 |
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