text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
What takes place at some coastlines or along the equator and brings cool, nutrient-rich water to the surface?
Answer choice: (A) high tide (B) upwelling (C) red tide (D) flooding<|im_end|>
<|im_start|>assistant
<think>
</think>
Upwelling takes place at some coastlines or along the Equator. Upwelling ... | 5,984 |
<|im_start|>user
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 530. The number of hares in the zoo is?
Answer Choices: (A) 90 (B) 99 (C) 77 (D) 65 (E) 221<|im_end|>
<|im_start|>assistant
<think>
</think>
200*2 = 400
530
-----
130
1----2
?----130 = 65
Th... | 86,386 |
<|im_start|>user
In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Answer Choices: (A) 20 (B) 25 (C) 15 (D) 10 (E) 30<|im_end|>
<|im_start|>assistant
<think>
</think>
P = (P*5*R)/100
R = 20%
The answer is A<|endoftext|> | 62,420 |
<|im_start|>user
Certain stocks in January were 20% less than they were in February and 30% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Answer Choices: (A) 5.7% (B) 11% (C) 20% (D) 25.3% (E) 38.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let stocks v... | 11,661 |
<|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 from biological parents to their offspring through genes. Gen... | 4,038 |
<|im_start|>user
What harmful light does ozone reduce in the upper atmospheres?
Answer choice: (A) infrared light (B) visible light (C) ultraviolet light (D) specific light<|im_end|>
<|im_start|>assistant
<think>
</think>
The ozone in smog is also harmful to human health. The image below shows the levels of ozone to ... | 5,065 |
<|im_start|>user
Winners will be announced the following day at 8 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
Answer Choices: (A) 13 (B) 21 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The reas... | 74,766 |
<|im_start|>user
If 6a = 7b = 20, then 84ab =
Answer Choices: (A) 50 (B) 100 (C) 625 (D) 800 (E) 1250<|im_end|>
<|im_start|>assistant
<think>
</think>
6a * 7b = 20 * 20 = 400
42 ab = 400
i.e. 84 ab = 800
The answer is D<|endoftext|> | 21,505 |
<|im_start|>user
The ratio between the sale price and the cost price of an article is 6:4. What is the ratio between the profit and the cost price of that article?
Answer Choices: (A) 23 (B) 1:2 (C) 2:5 (D) 3:5 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. = Rs. 4x and S.P. = Rs. 6x.
Then, Gain = Rs. 2... | 41,593 |
<|im_start|>user
What is the property that determines the amount of current flow through a particular material?
Answer choice: (A) resistance (B) pressure (C) surface tension (D) demand<|im_end|>
<|im_start|>assistant
<think>
</think>
Resistance is the property that determines the amount of current flow through a par... | 7,017 |
<|im_start|>user
A number whose fifth part increased by 4 is equal to its fourth part diminished by 4 is ?
Answer Choices: (A) 160 (B) 180 (C) 200 (D) 220 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer
Let the number be N.
Then, (N/5) + 4 = (N/4) - 4
⇒ (N/4) - (N/5) = 8
⇒ (5N - 4N)/20 = 8
∴ N ... | 33,569 |
<|im_start|>user
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 5?
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
p is a positive even integer wi... | 80,395 |
<|im_start|>user
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?
Answer Choices: (A) A) Rs.180 (B) B) Rs.200 (C) C) Rs.250 (D) D) Rs.280 (E) E) Rs.300<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the amou... | 74,712 |
<|im_start|>user
Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Answer Choices: (A) 278 (B) 277 (C) 960 (D) 600 (E) 261<|im_end|>
<|im_start|>assistant
<think>
</think>
50(x + 1) = 45 x
X = 10
60... | 46,547 |
<|im_start|>user
What is the term for organisms that make their own food?
Answer choice: (A) omnivores (B) plastids (C) monocots (D) autotrophs<|im_end|>
<|im_start|>assistant
<think>
</think>
Autotrophs are organisms that make their own food. Most autotrophs use the energy in sunlight to make food in a process calle... | 9,367 |
<|im_start|>user
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Answer Choices: (A) 388 (B) 656 (C) 350 (D) 771 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of t... | 52,304 |
<|im_start|>user
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Answer Choices: (A) 12 years (B) 19 years (C) 26 years (D) 24 years (E) 30 years<|im_end|>
<|im_start|>assistant
<th... | 38,697 |
<|im_start|>user
If f(x2 – 1) = x4 – 7x2 + k1 and f(x3 – 2) = x6 – 9x3 + k2 then the value of (k2 – k1) is _____
Answer Choices: (A) 6 (B) 7 (C) 8 (D) 9 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanatory Answer
Given Data
f(x2 – 1) = x4 – 7x2 + k1
f(x3 – 2) = x6 – 9x3 + k2
Approach and... | 5,183 |
<|im_start|>user
By how much is three-fifth of 250 greater than four- seventh of 210 ?
Answer Choices: (A) 30 (B) 110 (C) 25 (D) None of these (E) Cannot be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
3/5of 250 - 4/7of 210 = 60.
The answer is A<|endoftext|> | 29,154 |
<|im_start|>user
Lexy walks 5 miles from point A to point G in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?
Answer Choices: (A) 40 (B) 80 (C) 120 (D) 160 (... | 74,096 |
<|im_start|>user
Earthworms and segmented worms belong to what phylum?
Answer choice: (A) bryozoa (B) nematoda (C) annelida (D) protazoa<|im_end|>
<|im_start|>assistant
<think>
</think>
The phylum Annelida is made up of segmented worms such as earthworms . Segmented worms are divided into many repeating segments. The... | 2,163 |
<|im_start|>user
A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Answer Choices: (A) 7580 (B) 7960 (C) 8290... | 68,316 |
<|im_start|>user
In a group of 25 factory workers, 13 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
Answer Choices: (A) 10 (B) 9 (C) 8 (D) 7 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Total number of worker (M+W): 25
No. of men (M): 11 (Inferred fromHow ... | 59,854 |
<|im_start|>user
How many different ways can 2 students be seated in a row of 6 desks, so that there is always at least one empty desk between the students?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 20 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
10 ways to seat the students:
with two empty seats between
1... | 34,223 |
<|im_start|>user
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
Answer Choices: (A) 22 (B) 88 (C) 20 (D) 88 (E) 62<|im_end|>
<|im_start|>assistant
<think>
</think>
CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621
SP = Rs. 496.80, Discount =... | 56,179 |
<|im_start|>user
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
Answer Choices: (A) 19.3% (B) 25.8% (C) 16.67% (D) 15.5% (E) 12.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let X be the ... | 42,510 |
<|im_start|>user
Find the value of (875 233/899) × 899
Answer Choices: (A) 786858 (B) 786900 (C) 786920 (D) 786913 (E) 786960<|im_end|>
<|im_start|>assistant
<think>
</think>
(875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
A
The answer is A<|endoftext|> | 52,329 |
<|im_start|>user
The sum of the ages of Latha and Geetha is 60years. Also 5 years ago, the Latha's age was 5 times the age of the Geetha. What is the age of the Geetha?
Answer Choices: (A) 13years (B) 15yeas (C) 20years (D) 18years (E) 22years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the age of the Geetha... | 50,391 |
<|im_start|>user
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 20% profit?
Answer Choices: (A) 2000 (B) 2778 (C) 2299 (D) 1920 (E) 2771<|im_end|>
<|im_start|>assistant
<t... | 94,579 |
<|im_start|>user
What is the sum of all possible solutions to |x - 2|^2 + |x - 2| = 20 ?
Answer Choices: (A) -1 (B) 6 (C) 7 (D) 8 (E) 14<|im_end|>
<|im_start|>assistant
<think>
</think>
Denote |x - 2| as y: y^2 + y = 20 --> y = -5 or y = 4. Discard the first solution since y = |x - 2|, so it's an absolute value and t... | 59,731 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An allusion is a brief mention of something or someone well known, often from mythology, history, or literature. An allusion lets you reference ideas from an entire story in just a few words.
"I'd better get home before I tu... | 1,820 |
<|im_start|>user
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $20,000?
Answer Choices: (A) $38,796. (B) $40,000.... | 50,198 |
<|im_start|>user
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Answer Choices: (A) 200 (B) 205 (C) 209 (D) 250 (E) 300<|im_end|>
<|im_start|>assistant
<think>
</think>
=>1 boy 3 girls or 2 boys 2 girls or... | 5,909 |
<|im_start|>user
Number of prime numbers between 40 and 70 is
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
total 7=41, 43, 47, 53, 59, 61, 67
The answer is D<|endoftext|> | 80,571 |
<|im_start|>user
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 14 cm2. Find the lengths of all sides.
Answer Choices: (A) 10 and 3 (B) 7 and 10 (C) 10 and 7 (D) 3 and 10 (E) 8 and 5<|im_end|>
<|im_start|>assis... | 45,429 |
<|im_start|>user
There are 1000 buildings in a street. A sign-maker is contracted to number the houses from 1 to 1000. How many zeroes will he need?
Answer Choices: (A) 190 (B) 191 (C) 192 (D) 193 (E) 194<|im_end|>
<|im_start|>assistant
<think>
</think>
divide as (1-100)(100-200)....(900-1000)
total 192
The answer is... | 73,150 |
<|im_start|>user
Which of the following expressions CANNOT be equal to 0 when x^2 + 7x = -12 ?
Answer Choices: (A) x^2 + 2x − 8 (B) x^2 − 4x + 3 (C) x^2 − 4x − 21 (D) x^2 + 2x − 3 (E) x^2 +3x − 4<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2 +7x = -12
x^2 + 7x 12 = 0
x=-3 or x= -4
All other choices result in a... | 59,783 |
<|im_start|>user
What is the remainder when 1990990900032 is divided by 32 ?
Answer Choices: (A) 16 (B) 8 (C) 4 (D) 2 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
For powers of 2 - A number ending in as many 0s as the exponent of 2 will be divisible by that power of 2.
e.g. 2^4 = 16
A number N ending in fou... | 37,538 |
<|im_start|>user
A committee of 6 is chosen from 8 men and 4 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Answer Choices: (A) 252 (B) 700 (C) 1404 (D) 2620 (E) 3510<|im_end|>
<|im_start|>assistant
<think>
</think>
The only cases possible are :
1. 2 men and 4 women ... | 19,713 |
<|im_start|>user
What is the least number of square tiles required to pave the floor of a room 11 m 50cm long and 1m 50 cm broad?
Answer Choices: (A) 724 (B) 804 (C) 69 (D) 844 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Length of largest tile = H.C.F. of 1150cm & 150cm = 50cm.
Area of each til... | 14,334 |
<|im_start|>user
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 35 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Answer Choices... | 263 |
<|im_start|>user
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
Answer Choices: (A) W = 35 and L = 31 (B) W = 15 and L = 20 (C) W = 25 and L = 42 (D) W = 27 and L = 37 (E) W = 42 and L = 13<|im_end|>
<|im_start|>assistant
... | 15,288 |
<|im_start|>user
If 10^(c-1)< 0.000125 <10^c, what is the value of an integer c?
Answer Choices: (A) -4 (B) -3 (C) -2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
-> Multiply 10^6- > (10^6){10^(c-1)}<125<(10^6)(10^c) -> 125 is bigger than 100
-> (10^6)(10^(c-1))=100 -> 10^(6+c-1)=10^2, c+5=2 -> c=-3
T... | 65,408 |
<|im_start|>user
A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined
by B after 10 days. The number of days taken in completing the wotk were ?
Answer Choices: (A) 1423kmph (B) 1523kmph (C) 1623kmph (D) 1723kmph (E) None of these<|im_end|>
<|im_start|>assistant
<think>
... | 36,225 |
<|im_start|>user
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?
Answer Choices: (A) 33 (B) 39 (C) 50 (D) 29 (E) 28<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Number of runs made by running = 120 - (3*4 ... | 61,365 |
<|im_start|>user
The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
Let x be the length and let x - 2 be the width
Area = lenth × width = x × ( ... | 52,901 |
<|im_start|>user
How many times digit 5 is used while writing numbers from 1 to 500?
Answer Choices: (A) 103 (B) 98 (C) 94 (D) 105 (E) 100<|im_end|>
<|im_start|>assistant
<think>
</think>
in 1 to 100 there are 20
in 100 to 200 there are 20
in 200 to 300 there are 20
in 300 to 400 there are 20
in 400 to 500 there are ... | 57,320 |
<|im_start|>user
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Answer Choices: (A) 2400 (B) 2782 (C) 2097 (D) 7922 (E) 2877<|im_end|>
<... | 58,014 |
<|im_start|>user
At what rate percent per annum will a sum of money double in 7 years.
Answer Choices: (A) 12.5% (B) 13.5% (C) 14.2% (D) 14.5% (E) 21.5%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let principal = P, Then, S.I.=P and Time=8 years
Rate = [(100 x P)/ (P x 8)]% = 14.2% per annum.
The answer is C<|en... | 13,585 |
<|im_start|>user
Find the odd man out
2886, 480, 96, 24, 8, 4, 4
Answer Choices: (A) 480 (B) 96 (C) 24 (D) 8 (E) 2886<|im_end|>
<|im_start|>assistant
<think>
</think>
from the right side
4*1=4,
4*2=8
8*3=24
24*4=96
96*5=480
480*6=2880 but here given 2886 so it's not.
The answer is E<|endoftext|> | 79,412 |
<|im_start|>user
How many different 4 digit numbers can be formed from the number 1234 by re-arranging its digits so that the odd digits occupy even position
Answer Choices: (A) 2 (B) 8 (C) 4 (D) 7 (E) 3<|im_end|>
<|im_start|>assistant
<think>
</think>
There are 2 odd numbers which have to be placed at 2 even places ... | 69,030 |
<|im_start|>user
What in science are very important so that we can compare experimental data from one lab to another and make sure we all are talking about the same thing?
Answer choice: (A) Conventional measurements (B) standard measurements (C) available measurements (D) uses measurements<|im_end|>
<|im_start|>assist... | 8,258 |
<|im_start|>user
John bought 2 shares and sold them for $24 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Answer Choices: (A) a profit of $10 (B) a profit of $2 (C) a loss of $2 (D) a loss of $10 (E) neither a ... | 39,812 |
<|im_start|>user
If the milk and water ware added in the ratio 5:4 then how much more water should be added so he gets the ratio of 6:7.
Answer Choices: (A) 11/6 (B) 11/7 (C) 11/8 (D) 6/11 (E) 7/11<|im_end|>
<|im_start|>assistant
<think>
</think>
let quantity of water should added be x then
A/Q
5/(4+x)= 6/7
=> 35=24+... | 23,189 |
<|im_start|>user
Two coins are tossed. Find the probability of at most 2 tails ?
Answer Choices: (A) 1/2 (B) 1/4 (C) 1/3 (D) 1 (E) 3/4<|im_end|>
<|im_start|>assistant
<think>
</think>
n(s) = 2^2 = 4 ....(2 coins are tossed)
let E is the event of getting at most 2 tails
n(E) = HH, TT , HT, TH = 4
P(E) = n(E) / n(s)
= ... | 86,678 |
<|im_start|>user
40 is subtracted from 60% of a number, the result is 50. Find the number?
Answer Choices: (A) 150 (B) 189 (C) 177 (D) 167 (E) 190<|im_end|>
<|im_start|>assistant
<think>
</think>
(60/100) * X – 40 = 50
6X = 900
X = 150
The answer is A<|endoftext|> | 21,169 |
<|im_start|>user
Find the value of y from (12)^3 x 6^3 ÷ 432 = y?
Answer Choices: (A) 2134 (B) 2234 (C) 2540 (D) 2560 (E) 864<|im_end|>
<|im_start|>assistant
<think>
</think>
5184
E
The answer is E<|endoftext|> | 564 |
<|im_start|>user
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
Answer Choices: (A) Rs. 1... | 76,581 |
<|im_start|>user
In an exam, A scored 75 percent, B scored 25 percent and C scored 32 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three candidates?
Answer Choices: (A) 190 (B) 200 (C) 210 (D) 220 (E) 230<|im_end|>
<|im_start|>assistant
<think>
</think>
Average mark s... | 91,109 |
<|im_start|>user
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Answer Choices: (A) 22 (B) 20 (C) 99 (D) 77 (E) 655<|im_end|>
<|im_start|>assistant
<think>
</think>
x ------- 9
(x + 10) ---- 6
x * 9 = (x + 10)6
x = 20
The answer is B<|end... | 20,045 |
<|im_start|>user
The difference between a number and its three-fifth is 50. What is the number?
Answer Choices: (A) 75 (B) 100 (C) 125 (D) 150 (E) 175<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x. Then,
x - 3/5 x = 50 => 2/5 x = 50
x = (50 * 5)/2 = 125.
The answer is C<|endoftext|> | 77,102 |
<|im_start|>user
A number increased by 10% gives 550. The number is
Answer Choices: (A) 250 (B) 500 (C) 450 (D) 500 (E) 520<|im_end|>
<|im_start|>assistant
<think>
</think>
Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 10 % = 110 %
110 % -------> 550 (110 ×5 = ... | 91,894 |
<|im_start|>user
The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
Answer Choices: (A) 220 (B) 330 (C) 360 (D) 390 (E) 410<|im_end|>
<|im_start|>assistant
<think>
</think>
In revolution, distance that wheel covers = circumference of wheel Diameter of wheel... | 6,834 |
<|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) 12 (B) 15 (C) 18 (D) 24 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol. In this case, repetitions are not allowed. So, the ... | 41,671 |
<|im_start|>user
Which phase of matter is characterized by particles that can slide over each other and change position?
Answer choice: (A) Solid. (B) Liquid. (C) Gas. (D) Plasma.<|im_end|>
<|im_start|>assistant
<think>
</think>
Liquids have particles that can move past one another, allowing the liquid to flow.
The a... | 166 |
<|im_start|>user
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Answer Choices: (A) Rs.18 (B) Rs.47 (C) Rs.44 (D) Rs.28 (E) Rs.28<|im_end|>
<|im_start|>assistant
<think>
</think>
π (152 - 132) = 176
176 * 1/4 = Rs.44
The answer is C<|endoftext... | 17,163 |
<|im_start|>user
The average of 20 number is zero of them at the most, how many may be greater than zero ?
Answer Choices: (A) 0 (B) 1 (C) 10 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution
average of 20 numbers = 0.
∴ Sum of 20 numbers = (0×20) = 0.
it is quite possible that 19 of these numbe... | 44,382 |
<|im_start|>user
A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after... | 44,492 |
<|im_start|>user
What is the remainder when 1041*1047*1050*1053 is divided by 33?
Answer Choices: (A) 3 (B) 27 (C) 30 (D) 21 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
take the remainder from each of 1041/33, 1047/33 and so on..
1044/33 gives remainder = 18
1047/33 gives remainder = 24
1050/33 gives rema... | 17,165 |
<|im_start|>user
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (7, 0), (0, -3.5), (-7, 0)?
Answer Choices: (A) 56 (B) 88 (C) 112 (D) 49 (E) 120<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of rhombus= 1/2* D1 *D2
Length of 1st diagonal = 7+7= ... | 32,499 |
<|im_start|>user
A certain country had a total annual expenditure of $1.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Answer Choices: (A) $ 500 (B) $1,000 (C) $2,000 (D) $3,000 (E) $5,000<|im_end|>
<|im_start|>assistant
<think>
</think>
Tota... | 18,260 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Present tense verbs tell you about something that is happening now.
Most present-tense verbs are regular. They have no ending, or they end in -s or -es.
Two verbs are irregular in the present tense, to be and to have. You mu... | 2,591 |
<|im_start|>user
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 79, how many questions did Student A answer correctly?
Answer Choices: (A) 55 (B) 60 (C) 93 (D... | 86,655 |
<|im_start|>user
The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Answer Choices: (A) 5/11 (B) 4/11 (C) 3/11 (D) 6/45 (E) 7/44<|im_end|>
<|im_start|>assistant
<think>
</thin... | 77,122 |
<|im_start|>user
In what century was the microscope invented?
Answer choice: (A) 20th (B) 17th (C) 16th (D) 15th<|im_end|>
<|im_start|>assistant
<think>
</think>
7.2 History of cell knowledge The optical microscope was first invented in 17th century. Shortly thereafter scientists began to examine living and dead biol... | 5,664 |
<|im_start|>user
What is the greatest value of m such that 4^m is a factor of 27! ?
Answer Choices: (A) 5 (B) 7 (C) 6 (D) 8 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
Pretty simple, really.
If m = 8, then 4m = 32, which is 16x2, both of which are included in 27!
Since 8 is the largest number here, its the... | 87,049 |
<|im_start|>user
Water can be a solid, liquid, and what other form?
Answer choice: (A) gas (B) ooze (C) square (D) plasma<|im_end|>
<|im_start|>assistant
<think>
</think>
Water can be a solid, liquid, or a gas.
The answer is A<|endoftext|> | 2,912 |
<|im_start|>user
If mn > 0, which of the following must be negative?
Answer Choices: (A) m +n (B) |m| + n (C) m^2 (D) -m/n (E) mn<|im_end|>
<|im_start|>assistant
<think>
</think>
Given mn> 0 So both will be the positive integers. If both are positive, then A,B,C,E also positive.
The answer is D<|endoftext|> | 79,624 |
<|im_start|>user
Deepak can read x pages in 10 minutes. At this rate, how long will it take him to read y pages?
Answer Choices: (A) (12/x) *y (B) (5/x) *y (C) (10/x) *y (D) (10x) *y (E) (13/x) *y<|im_end|>
<|im_start|>assistant
<think>
</think>
x page in 10 mins
i.e. 1 page in 10/x mins
i.e. y pages in (10/x)*y
The ... | 5,318 |
<|im_start|>user
There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 13 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the numbe... | 37,101 |
<|im_start|>user
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all th... | 73,064 |
<|im_start|>user
In measuring the sides of a rectangle, one side is taken 8% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Answer Choices: (A) 3.5% (B) 2.4% (C) 3% (D) 5% (E) 2.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the sides of the recta... | 81,374 |
<|im_start|>user
On a 20 mile course, Bil bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?
Answer Choices: (A) 75 (B) 105 (C) 117 (D) 150 (E) 162<|... | 67,774 |
<|im_start|>user
The most important characteristic of extant amphibians is a moist, permeable skin used for this?
Answer choice: (A) benign respiration (B) cutaneous respiration (C) simple respiration (D) avian respiration<|im_end|>
<|im_start|>assistant
<think>
</think>
29.3 Amphibians As tetrapods, most amphibians ... | 2,854 |
<|im_start|>user
A husband wants to share of x% of his savings of total $10,0000 to his wife. After home expenses, the husband reduce this amount by (x − 9)%. In terms of x, how much $ amount will the wife get?
Answer Choices: (A) x*x – 9x (B) (x) (1009 – x) (C) (1000) (1009 – x) (D) (1000) (91– x) (E) (x-9) /1000<|... | 89,251 |
<|im_start|>user
If HARD is coded as 1357
and SOFT is coded as 2468
what will 21448 stand for?
Answer Choices: (A) SHOOR (B) SHOOA (C) SHOOT (D) SHEOT (E) SWOOT<|im_end|>
<|im_start|>assistant
<think>
</think>
HARD = 1357 => 1=H, 3=A , 5=R , 7=D
SOFT = 2468 => 2=S, 4=O , 6=F , 8=T
so, 21448 = SHOOT
The answer is C<|e... | 5,606 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A clause is a group of words that contains both a subject and a predicate.
An independent clause is a complete thought. It can stand alone as a sentence. A dependent clause is not a complete thought. It cannot stand alone as... | 5,574 |
<|im_start|>user
What is a buildup of electric charges on objects?
Answer choice: (A) wattage (B) potential (C) conduction (D) static<|im_end|>
<|im_start|>assistant
<think>
</think>
Our Sun is a star , a sphere of plasma held together by gravity. It is an ordinary star that is extraordinarily important. The Sun prov... | 7,706 |
<|im_start|>user
There are 25 students in a class. Find the numbers of ways in which a committee of 3 students is to be formed?
Answer Choices: (A) 1250 (B) 1800 (C) 2300 (D) 3256 (E) 2863<|im_end|>
<|im_start|>assistant
<think>
</think>
Required number of ways = 25C3 = 25*24*23 / 6 = 2300
The answer is C<|endoftext|... | 73,589 |
<|im_start|>user
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 15 km/hr respectively. They will meet for the first time in?
Answer Choices: (A) 50min (B) 40min (C) 35min (D) 25min (E) 20min<|im_end|>
<... | 8,450 |
<|im_start|>user
A man purchased 3 blankets @ Rs.100 each, 4 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Answer Choices: (A) A) 600 (B) B) 350 (C) C) 450 (D)... | 35,395 |
<|im_start|>user
h, b, c, and d are positive integers. If the remainder is 9 when h is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Answer Choices: (A) 20 (B) 19 (C) 18 (D) 16 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
When h ... | 31,275 |
<|im_start|>user
If 45% of z is 90% of y and y is 75% of x, what percent of x is z?
Answer Choices: (A) 200 (B) 160 (C) 100 (D) 65 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
(45/100)z = (90/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (90/100)*(3/4)x
i.e. z = (90*3)x/(45*4)
i.e. z = (1.5)x =... | 55,468 |
<|im_start|>user
An plane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of ?
Answer Choices: (A) 100 (B) 720 (C) 1100 (D) 940 (E) 860<|im_end|>
<|im_start|>assistant
<think>
</think>
We know
Distance = speed * time
= 240 * 5
= 1200 km
N... | 50,874 |
<|im_start|>user
The temperature of the products is typically lower than the temperature of the reactants in what type of reaction?
Answer choice: (A) endothermic (B) autotrophic (C) exothermic (D) parabolic<|im_end|>
<|im_start|>assistant
<think>
</think>
In endothermic reactions, the temperature of the products is ... | 4,602 |
<|im_start|>user
A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
Answer Choices: (A) 2000 (B) 3000 (C) 5000 (D) 4000 (E) 6000<|im_end|>
<|im_start|>assistant
<think>
<... | 92,298 |
<|im_start|>user
20% of an 30% salt solution is replaced with water. From the resulting solution, again 20% is replaced with water. This step is repeated once more. What is the concentration of salt in the final solution obtained
Answer Choices: (A) 19.58% (B) 15.36% (C) 20% (D) 9.72% (E) 11.64%<|im_end|>
<|im_start|>a... | 33,014 |
<|im_start|>user
If x ¤ y = (x + y)^2 - (x - y)^2. Then √2 ¤ √2 =
Answer Choices: (A) 0 (B) 8 (C) 10 (D) 15 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
X = √2 and Y also =√2
Applying the function (√2+√2)^2 - (√2-√2)^2 = (2√2)^2 - 0 = 4 x 2 = 8.
Note: Alternative Approach is the entire function is represen... | 29,900 |
<|im_start|>user
One molecule of carbon dioxide consists of 1 atom of carbon and 2 atoms of what element?
Answer choice: (A) methane (B) hydrogen (C) nitrogen (D) oxygen<|im_end|>
<|im_start|>assistant
<think>
</think>
A molecular formula of the compound carbon dioxide is CO 2 . One molecule of carbon dioxide consist... | 5,661 |
<|im_start|>user
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer Choices: (A) 6 (B) 7 (C) 5 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph... | 96,683 |
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