question stringlengths 1 5.05k | choices listlengths 3 5 | answer stringclasses 4
values | support stringlengths 0 3.68k | source stringclasses 4
values |
|---|---|---|---|---|
a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject. | [
"75%",
"88%",
"95%",
"85%"
] | A | Already average of two subjects is (70+80)/2 = 75%
To maintain the percentage at 75%, he shouls get 75% marks in third subject
ANSWER:B | AquaRat_train |
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes T, each draining water at the same constant rate, will be needed to drain the pool in 4 days? | [
"9",
"6",
"15",
"10"
] | D | This is an inverse proportional problem......
5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15
So, T=15-5 = 10.C | AquaRat_train |
What is the term for the early growth and development of a plant embryo inside a seed? | [
"germination",
"secretion",
"fertilization",
"rumination"
] | A | A seed is a reproductive structure that contains an embryo and a food supply, called endosperm. Both the embryo and endosperm are enclosed within a tough outer coating, called a hull (or shell). You can see these parts of a seed in Figure below . An embryo is a zygote that has already started to develop and grow. Early... | SCiQ_train |
Difference between the length &breadth of a rectangle is 26 m. If its perimeter is 208 m, then its area is?? We have: (l - b) = 26 and 2(l + b) = 208 or (l + b) = 104? | [
"2635 m^2",
"2553 m^2",
"2535 m^2",
"2625 m^2"
] | C | Solving the two equations, we get: l = 65 and b = 39.
Area = (l x b) = (65 x 39) m2 = 2535 m^2
C | AquaRat_train |
Amit and Meghna went to New York for a 63 day holiday .Each day ,Amit
spent as many as hundred dollar bills as the remaining number of days in the
trip (excluding the current day ) ,and Meghna spent as many as hundred
dollar bills as the number of days already spent (including current day).
How much per day would they ... | [
"$10000",
"$5000",
"$12,600",
"$6300"
] | D | amith total expense is 100*(62+61......+1) and meghana is 100*(1+2+....63).
tola is 100(62+61....+1+1+2+....63) which can also be written as 100(63)+100*2*(62+61....+1)
expense per day is ((100*63)+(200*(62+61+.....1))/63 which gives 6300 result
ANSWER:C | AquaRat_train |
What distinguishing characteristic of annelid anatomy shows specialization and adaptation? | [
"beautiful",
"segmentation",
"compression",
"asymmetry"
] | B | Annelids are divided into many repeating segments. The earthworm in Figure below is an annelid. You can clearly see its many segments. Segmentation of annelids is highly adaptive. Each segment has its own nerve and muscle tissues. This allows the animal to move very efficiently. Some segments can also be specialized to... | SCiQ_train |
Stepping in a lake causes | [
"tsunamis",
"ripples",
"typhoons",
"earthquakes"
] | B | MMLU_train | |
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 2800 a year. What is his average monthly income? | [
"1900",
"2010",
"2200",
"2100"
] | A | Total expenditure for the first 3 months = 3 × 1600 = 4800
Total expenditure for 4 months = 4 × 1550 = 6200
Total expenditure for 5 months = 5 × 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4800 + 6200 + 9000 + 2800 = Rs. 22800
So, Average monthly income = 22800/12 = Rs. 1900
A | AquaRat_train |
Four different books (A, B, C and D) are to be arranged on a shelf. Books A and B are to be arranged first and second starting from the right of the shelf. The number of different orders in which books C and D may be arranged is | [
"2!",
"16!",
"12!",
"11!"
] | A | Solution
Since books A and B are arranged first and second, only books C and D will change order. Therefore it an arrangement problem involving 2 items and the number of different order is given by
2!
Answer E | AquaRat_train |
Consider four consecutive integers. What is the sum of the 2nd and fourth numbers if the first number is 13? | [
"43",
"30",
"26",
"19"
] | B | 1st = x = 13
2nd = x+1
3rd = x+2
4th = x+3
------
sum of 2nd and fourth numbers::
x+1+x+3 = 13+1+13+3 = 30
Answer C | AquaRat_train |
The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit? | [
"469",
"750",
"715",
"560"
] | B | Let C.P be Rs. x
900 - x = 2(x - 450)
=> x = Rs.600 C.P = 600 gain required is 25% S.P = [(100+25)*600]/100 = Rs.750 Answer : D | AquaRat_train |
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it? | [
"8729",
"9927",
"8721",
"2772"
] | C | Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000
= Rs. 8721.
Answer: B | AquaRat_train |
At a school, three-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language? | [
"11/25",
"14/25",
"16/25",
"18/25"
] | C | Let x be the number of students in the school.
The number of males who speak a foreign language is (3/5)(2/5)x = (6/25)x
The number of females who speak a foreign language is (2/3)(3/5)x = (2/5)x
The total number of students who speak a foreign language is (6/25)x + (2/5)x = (16/25)x
The answer is C. | AquaRat_train |
In the formula V = 1/(3r)^4, if r is halved, then V is multiplied by | [
"1/8",
"64",
"16",
"8"
] | C | Say r=2 => V1 = 1/1296
when r=1; V2 = 1/81
V2 = 16*V1.
Answer=C=16 | AquaRat_train |
Evaluate : 980 x 436 + 980 x 764 | [
"978000",
"1176000",
"None of them",
"117000"
] | B | 980 x 436 + 980 x 764 = 986 x (436 + 664) = 986 x 1200 = 117600.
Answer is A. | AquaRat_train |
Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is | [
"4,00,000 kg",
"5,00,000 kg",
"4,50,000 kg",
"Cannot be determined"
] | A | Solution: Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of ore remains.
Pure iron = 25% of remaining ore = 80*25/100 = 20 kg.
20 kg pure Iron is obtained from 100 of hematite.
1 kg pure Iron is obtained from = 100/20 hematite;
Then, 80000 kg pure Iron is obtained from = (100/20)*80000 = ... | AquaRat_train |
In a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science? | [
"63",
"48",
"87",
"77"
] | C | 120 students total
25 did not opt for math
10 did not opt for science
2 did not opt for either
Total of 95 students in math and 8 did not opt for sci but did for math
95-8=87
87 students of the class opted for both math and science
Answer:
D. 87 | AquaRat_train |
If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT: | [
"8",
"4",
"2",
"7"
] | A | xy = 3(x + 1) + y
xy - y = 3(x + 1)
y = 3(x + 1)/(x-1)
y won't be an integer only if x = 8 (from the options).
Answer: B | AquaRat_train |
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ? | [
"266",
"166",
"119",
"287"
] | C | Number of words which can be formed = 5! - 1
= 120 - 1
= 119.
Answer:C | AquaRat_train |
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? | [
"267",
"777",
"238",
"350"
] | D | Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.Answer:C | AquaRat_train |
Sachin is younger than Rahul by 6 years. If the ratio of their ages is 7:9, find the age of Sachin | [
"24.1",
"15",
"24.58",
"24.9"
] | B | If Rahul age is x, then Sachin age is x-6,
so (x-6)/x = 7/9
=> 9x-42 = 7x
=> 2x = 42
=> x = 21
So Sachin age is 21 - 6 = 15
Answer: C | AquaRat_train |
The smallest 3 digit prime number is: | [
"112",
"103",
"101",
"106"
] | B | A
103
The smallest 3-digit number is 100, which is divisible by 2.
100 is not a prime number.
√101< 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.
101 is a prime number.
Hence 101 is the smallest 3-digit prime number. | AquaRat_train |
What does rising and sinking air influence in a region? | [
"tides",
"precipitation",
"erosion",
"temperature"
] | B | Rising and sinking air can influence the precipitation of a region. | SCiQ_train |
The owner of a missing cat is asking for help. "My baby has been missing for over a month now, and I want him back so badly," said Mrs. Brown, a 56-year-old woman. Mrs. Brown lives by herself in a trailer park near Clovis. She said that Clyde, her 7-year-old cat, didn't come home for dinner more than a month ago. The n... | [
"More than a month",
"More than two months",
"More than three months",
"It's been back."
] | A | MMLU_train | |
At what time between 3 and 4 o’clock, the hands of a clock coincide? | [
"15 5⁄60 minutes to 2",
"16 4⁄11 minutes past 3",
"16 4⁄11 minutes to 4",
"15 5⁄61 minutes past 3"
] | B | Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time T = 2⁄11(H × 30 + A°) minutes past H.
Here H = initial position of hour hand = 3(Since 3 o’clock)
A° = required angle = 0°(Since it coincides)
T = 2⁄11(3 × 30 + 0) minutes past 3
= 164⁄11 minutes past 3
Answer A | AquaRat_train |
What field of science seeks to explain how traits are passed on from one generation to the next? | [
"zoology",
"biochemistry",
"quantum physics",
"genetics"
] | D | Genetics is the study of inheritance. The field of genetics seeks to explain how traits are passed on from one generation to the next. | SCiQ_train |
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in? | [
"B)6",
"C)8",
"D)10",
"A)7"
] | C | 1/10 + 1/15 - 1/x = 1/15
x = 10
Answer:D | AquaRat_train |
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is: | [
"9.7%",
"None of these",
"8%",
"10%"
] | C | By investing Rs. 1552, income = Rs. 128
By investing Rs. 97, income = Rs. (128/1552 * 97) = Rs. 8
Dividend = 8%
Answer = B | AquaRat_train |
Sandy can do a job in 21 days and Molly can do the same job in 42 days. If they work together, in how many days will they complete the job? | [
"10",
"12",
"16",
"14"
] | D | Sandy can do 1/21 of the job each day.
Molly can do 1/42 of the job each day.
The combined rate is 1/21 + 1/42 = 1/14 of the job each day.
The job will take 14 days.
The answer is D. | AquaRat_train |
9 3/4 + 7 2/17 - 9 1/15=? | [
"7 817/1020",
"9 817/1020",
"9 719/1020",
"None of them"
] | A | Given sum=9+3/4+7+2/17-(9+1/15)
=(9+7-9)+(3/4+2/17-1/15)
=7+(765+120-68/1020
=7 817/1020
Answer is D | AquaRat_train |
20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes. | [
"210",
"200",
"190",
"220"
] | C | 1st person will shake hand with 19 people
2nd person will shake hand with 18 people
3rd person will shake hand with 17 people
......
total no. of handshakes = 19+18+17+...+3+2+1 = 19*(19+1)/2 = 190
or, if there are n persons then no. of shakehands = nC2 = 20C2 = 190
ANSWER:A | AquaRat_train |
A person crosses a 650 m long street in 5 minutes. What is his speed in km per hour? | [
"5.2 km/hr.",
"4.2 km/hr.",
"7.8 km/hr.",
"3.2 km/hr."
] | C | C
7.8 km/hr.
Speed=(600/5 * 60) m/sec
= 2.16 m/sec.
Converting m/sec to km/hr
=(2*18/5) km/hr
= 7.8 km/hr. | AquaRat_train |
Fires in forests from lightning rid the forest of dead branches and leaves. If the trees survive and the soil remains intact, the forest will experience regrowth to its climax state by which process? | [
"tropism",
"succession",
"gradualism",
"eutrophication"
] | B | ai2_arc_train | |
The sum of the pressures of the hydrogen and the water vapor is equal to what? | [
"precipitation pressure",
"adjacent pressure",
"moon pressure",
"atmospheric pressure"
] | D | The atmospheric pressure is converted from kPa to mmHg in order to match units with the table. The sum of the pressures of the hydrogen and the water vapor is equal to the atmospheric pressure. The pressure of the hydrogen is found by subtraction. Then, the volume of the gas at STP can be calculated by using the combin... | SCiQ_train |
Mark has to visit towns B and C in any order. The roads connecting these towns with his house are shown on the diagram. How many different routes can he take starting from A and returning to A, going through both B and C and not traveling any road twice on the same trip? | [
"8",
"5",
"12",
"9"
] | A | Mark can travel clockwise or anticlockwise on the diagram.
Clockwise, he has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.
Similarly, anticlockwise she has four different routes.
Total routes = 8
B | AquaRat_train |
A girl signals her friend by shining a flashlight on a mirror. Her friend can see the signal because | [
"heat energy can be transferred from one object to another",
"mechanical energy can be transferred from one object to another",
"sound energy can be reflected from one object to another",
"light energy can be reflected from one object to another"
] | D | MMLU_train | |
The greatest number of four digits which is divisible by 12, 20, 36 and 60 is: | [
"9000",
"9800",
"9700",
"9900"
] | D | Greatest number of 4-digits is 9999.
L.C.M. of 12, 20, 36 and 60 is 180.
On dividing 9999 by 180, the remainder is 99.
Required number (9999 - 99) = 9900.
Answer: Option B | AquaRat_train |
In how many different number of ways 3 boys and 4 girls can sit on a bench? | [
"5710",
"5820",
"8000",
"5040"
] | D | npn = n!
7p7 = 7 X 6 × 5 × 4 × 3 × 2 × 1 = 5040
C) | AquaRat_train |
Living things are highly organized following a hierarchy that includes atoms, molecules, organelles, cells, tissues, organs, and organ systems. organisms, in turn, are grouped as populations, communities, ecosystems, and this? | [
"biosphere",
"bionicsphere",
"endosphere",
"hydrosphere"
] | A | CHAPTER SUMMARY 1.1 Themes and Concepts of Biology Biology is the science of life. All living organisms share several key properties such as order, sensitivity or response to stimuli, reproduction, adaptation, growth and development, regulation, homeostasis, and energy processing. Living things are highly organized fol... | SCiQ_train |
If a certain sample of data has a mean of 35.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | [
"(16.5; 26.0)",
"(28.0; 46.5)",
"(14.0; 26.5)",
"(14.5; 21.0)"
] | B | 2.5 standard deviation equals to 2.5*2=5;
2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 30 40.
The correct answer choice must cover all this range: only answer choice E does this.
Answer:E. | AquaRat_train |
Convert the following in a fraction: 0.75% | [
"75/100",
"3/4",
"2/5",
"1/75"
] | B | 0.75 =75/100 = 3/4
Answer is B. | AquaRat_train |
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 19 MPH between the 2 frie... | [
"36",
"60",
"96",
"57"
] | D | B
57
It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 19 MPH = 57 miles | AquaRat_train |
Dear teachers, do you want to find pen pals for your students? Boys and girls, do you want to find your own e-pals ? Here is some advice on how to make e-pals. First, take a look at www.spoton.de community . Click on international pen pal sites to find some of our favorite international e-pal and pen pal web sites. D... | [
"It is the safest.",
"It is free.",
"You can choose more pen pals from a great number of countries.",
"You can start sending e-mails at once."
] | D | MMLU_train | |
Find the perimeter and area of the rectangle of length 15 cm and breadth 11 cm. | [
"221 cm2",
"71 cm2",
"165 cm2",
"121 cm2"
] | C | length = 15 cm, breadth = 11 cm
Perimeter of rectangle = 2 (length + breadth)
= 2 (15 + 11) cm
= 2 × 26 cm
= 52 cm
We know that the area of rectangle = length × breadth
= (15 × 11) cm22
= 165 cm2
ANSWER : C | AquaRat_train |
The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is? | [
"1994",
"1500",
"1349",
"1494"
] | C | LCM = 1400
1400 - 6 = 1394
ANSWER:C | AquaRat_train |
Do you know what an eagle does when a storm is coming? The eagle will fly to some high spot and wait for the winds to come. When the storm hits, it opens its wings so that the wind will pick it up and lift it above the storm. While the storm rages below, the eagle is flying above it. The eagle does not shirk the stor... | [
"Because the cloud protects it.",
"Because the wind lifts it up.",
"Because the wings are big enough.",
"Because the storm is not strong enough."
] | B | MMLU_train | |
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the ? | [
"8:6",
"8:4",
"8:2",
"8:7"
] | D | Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.
Let the dimensions of the carpet in the second case be 7y, 3y units respectively.
From the data,.
2(3x + 2x) = 2(7y + 3y)
=> 5x = 10y
=> x = 2y
Required ratio of the areas of the carpet in both the cases
= 3x * 2x : 7y : 3... | AquaRat_train |
An company has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee? | [
"30",
"12",
"15",
"10"
] | D | An company has 6 employees;for male 1C1 = 1 ........ A
foe female = 5C2 = 10.........B
total = 10*1
= 10 - answer=A | AquaRat_train |
A group of 16 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase? | [
"nE / [16(16-n)]",
"E/[12(12-n)]",
"(12-n)E/(12n)",
"E/(12 - n)"
] | A | total cost =E
no of people willing to participate initially =16
initial cost for each =E/16
when n people decided not to participate
Cost for each =E/16-n
B | AquaRat_train |
In a set of numbers from 100 to 1000 inclusive, how many integers are even and do not contain the digit 5? | [
"324",
"288",
"360",
"196"
] | C | We have to find the total number of 3-digit even numbers not having 5 as a digit.
Units digits will be among 0,2,4,6,8
Tenth digits will be among 0,1,2,3,4,6,7,8,9
Hundredth digits will be among 1,2,3,4,6,7,8,9
So total numbers = 5*9*8 =360
Answer : C | AquaRat_train |
A student gets 60% in one subject, 70% in the other. To get an overall of 70% how much should get in third subject. | [
"75%",
"80%",
"65%",
"55%"
] | B | Let the 3rd subject % = x
60+70+x = 3*70
130+x =210
x = 210-130 = 80
Answer :B | AquaRat_train |
An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing? | [
"Rs.15000",
"Rs.6000",
"Rs.5000",
"Rs.50000"
] | D | let x amount he has then 20% of 25% of 30% of x=750
so x=50000
ANSWER:B | AquaRat_train |
Edmund Halley was an English scientist who lived over 200 years ago. He studied the observations of comets which other scientists had made. The orbit of one particular comet was a very difficult mathematical problem. He could not figure it out. Neither could other scientists who dealt with such problems. However, Hal... | [
"1704",
"1705",
"1706",
"1707"
] | B | MMLU_train | |
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ? | [
"2413 sq.m",
"4312 sq.m",
"1234 sq.m",
"3243 sq.m"
] | B | Explanation:
Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏ - ∏
= ∏{1762/∏∏ - 1322/∏∏}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
ANSWER IS C | AquaRat_train |
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? | [
"0",
"8",
"1",
"7"
] | B | S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer: C | AquaRat_train |
With respect to the division whose percent of total income exceeded its percent of total expenses by the greatest amount among the four divisions, by approximately what amount did the division's income exceed its own expenses ?
Division A :. 38%
Division B : 12%
Division C : 30%
Division D : 20% | [
"$ 240,000",
"$ 90,000",
"$ 185,000",
"$ 150,000"
] | A | Division A's percent of total income exceeded its percent of total expenses by 38%-35%=3%;
Division B's percent of total income did not exceeded its percent of total expenses, 12%-26%=-14%;
Division C's percent of total income exceeded its percent of total expenses by 20%-14%=6%;
Division D's percent of total income ex... | AquaRat_train |
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A? | [
"4",
"7",
"5",
"1"
] | C | There are five letters in the given word.
Consider 5 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words = 3! = 6.
Answer:B | AquaRat_train |
The shield type of what phenomenon commonly forms above hotspots in the oceans? | [
"hurricane",
"tornado",
"tsunami",
"volcano"
] | D | Shield volcanoes commonly form above hotspots in the oceans. | SCiQ_train |
The numbers of students speaking English and Hindi are in the ratio of 4 : 5. If the number of students speaking English increased by 35% and that speaking Hindi increased by 20%, what would be the new respective ratio? | [
"Cannot be determined",
"19 : 20",
"None of these",
"7 : 8"
] | C | Reqd ratio = 4×13/55×120=9:10
Answer E | AquaRat_train |
How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 11? | [
"5",
"8",
"7",
"6"
] | A | The numbers should be of the form 11c+3.
The minimum is 3 when c=0.
The maximum is 47 when c=4.
There are 5 such numbers.
The answer is A. | AquaRat_train |
Solar cells absorb energy from the sun. In order to use this energy to power household appliances, solar cells must convert the absorbed energy to | [
"heat.",
"light.",
"radiation.",
"electricity."
] | D | ai2_arc_train | |
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are ... | [
"4.5%",
"8.6%",
"12.3%",
"20%"
] | B | Let I be the number of incandescent bulbs.
Let F be the number of fluorescent bulbs.
0.3I + 0.8F = 0.7(I+F)
0.1F = 0.4I
F = 4I
This means that for every 1 incandescent bulb, there are 4 fluorescent bulbs.
The percent of bulbs that are switched on which are incandescent is:
0.3I / (0.3I + 0.8F) = 0.3I / (0.3I + 0.8*4I) ... | AquaRat_train |
A current in a circuit needs a complete what? | [
"speed",
"path",
"cause",
"stream"
] | B | Electromagnetic waves generally propagate out from a source in all directions, sometimes forming a complex radiation pattern. A linear antenna like this one will not radiate parallel to its length, for example. The wave is shown in one direction from the antenna in Figure 24.7 to illustrate its basic characteristics. I... | SCiQ_train |
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.15 per metre of cloth. How much profit will the trder earn on 40 metres of cloth? | [
"Rs.1200",
"Rs.600",
"Rs.1500",
"None of these"
] | B | Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 15 = Rs.190
CP on 40 metres = 190 x 40 = Rs.7600
Profit earned on 40 metres cloth = Rs.8200 – Rs.7600 = Rs.600.
Answer: Option C | AquaRat_train |
What temperature is most likely to result in sweat? | [
"0 degrees Celsius",
"95 degrees Fahrenheit",
"34 degrees Celsius",
"33 degrees Celsius"
] | B | MMLU_train | |
Last March, the H7N9 virus hit Shanghai, Anhui, Jiangsu, Zhejiang and so on. It seemed that most people who were infected with H7N9 had the common flu . Some people suffered from a fever or a cough. Don't be afraid--it's not easy to be infected with the virus. Here is some advice to help you protect yourself when... | [
"It tells us how to wash hands.",
"It tells us why we should use masks.",
"It gives us some advice on how to protect ourselves when the H7N9 virus comes.",
"It tells us what the H7N9 virus is."
] | C | MMLU_train | |
The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers | [
"I, II, and III",
"I and II only",
"I only",
"III only"
] | C | If we consider a set {1,2,3,4}, when multiplied with a constant we take that constant as 1 and multiply resulting set will contain the same numbers as the original. so how can the answer be I only.....A | AquaRat_train |
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? | [
"Rs.12800",
"Rs.13000",
"Rs.6000",
"Rs.8000"
] | A | 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
ANSWER:B | AquaRat_train |
The moon looks bigger than the stars at night. But in fact, it is smaller than any other stars. The moon looks big to us, because it is closer to us than any stars. The moon goes around the earth. It makes one trip about four weeks. The moon is a round ball and looks beautiful. Now people know quite a lot about the moo... | [
"gets light",
"gives light",
"gives air",
"gets air"
] | B | MMLU_train | |
A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the three fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two... | [
"36",
"24",
"44",
"20"
] | A | Two displays books could be arranged n! # of total arrangements are combinations multiplied together,
3!*3! =6*6=36
Answer is D | AquaRat_train |
The moon looks bigger than the stars at night. But in fact, it is smaller than any of them. The moon looks big to us, because it is closer to us than any star. The moon goes around the earth. It makes one trip about four weeks. The moon is a round ball and looks beautiful. Don't you think so? Now people know quite a lo... | [
"a few",
"a lot",
"little",
"some"
] | B | MMLU_train | |
If x and y are positive numbers and z = xy^2, a 40 percent increase in x and a 20 percent decrease in y would result in which of the following changes in z? | [
"increase of 4.3%",
"decrease of 6.5%",
"increase of 16.7%",
"decrease of 10.4%"
] | D | After the changes, z = 1.4x*(0.8y)^2 = (1.4*0.64)xy^2 = 0.896*z
The answer is B. | AquaRat_train |
Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A? | [
"None of these",
"+14.68%",
"–14.68%",
"No Change"
] | C | DETAILED SOLUTION
Since, tensile strength of A = a x b x c x d, If we assume initial tensile strength to be 100, we can apply successive % changes to arrive at the final figure
100 -30% ---> 70 (Any of the change can be carried out first, the result would be same)
70 + 30% ---> 91
91 + 25% ---> 113.75
113.75 – 25% --> ... | AquaRat_train |
Mary, Bernie, and Rose can complete a job, all working together, in 4 hours. Mary and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Rose, working alone, to complete the entire job? | [
"21 hours",
"20 hours",
"8 hours",
"12 hours"
] | B | If Mary, Bernie, and Rosecan complete a job in 4 hours, they can complete 1/4 of the job in an hour. Furthermore, if Mary and Bernie can complete the same job in 5 hours, they can do 1/5 of the entire job in an hour.
If the three of them can do 1/4 of a job in an hour, and without Colleen the other two can do 1/5 of a ... | AquaRat_train |
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? | [
"87 kmph",
"16 kmph",
"40 kmph",
"15 kmph"
] | C | Speed downstream = 60 + 20
= 80 kmph
Speed upstream = 60 - 20
= 40 kmph
Answer:B | AquaRat_train |
What is the compound interest paid on a sum of Rs.3500 for the period of 2 years at 10% per annum. | [
"600",
"735",
"None of these",
"825"
] | B | Solution= Interest % for 1st year= 10
Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11
Total % of interest= 10 + 11=21
Total interest = 21 % 3500 = 3500* (21/100)= 735
Answer B | AquaRat_train |
In two alloys, copper and tin are related in the ratios of 4:1 and 1:3. 10kg of Ist alloy, 16 kg of 2nd alloy and some pure copper melted together. An alloy obtained in which the ratio of copper and tin was 3:2. Find the weight of the new alloy. | [
"35kg",
"36kg",
"30kg",
"32kg"
] | A | suppose x kg of pure copper is melted with 10kg of Ist alloy and 16 kg of 2nd alloy , then
Pure cooper in new alloy = 10*4/5 + 16*1/4 +x = 12+x kg
Pure tin in new alloy = 10*1/5+ 16*3/4 = 14 kg
As per given condition
(12+x)/14 = 3/2
24+2x= 42
x=9 kg
Total weight of new alloy = 10+16+9=35 kg
ANSWER:B | AquaRat_train |
What term is given to flatworms because they lack a body cavity? | [
"sporozoans",
"sporazoa",
"acoelomates",
"pores"
] | C | Flatworms have no true body cavity, but they do have bilateral symmetry. Due to the lack of a body cavity,flatworms are known as acoelomates. | SCiQ_train |
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for fi... | [
"480",
"120",
"360",
"720"
] | C | C) 360
short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want E=6C!/2 -> 720/2 = 360 | AquaRat_train |
What is the dividend? The divisor is 17, the quotient is 4 and the remainder is 8. | [
"671",
"67",
"0",
"76"
] | D | Divided= Divisor * Quotient + Remainder
?= 17 * 4 + 8
68 + 8
76
(e.g. Answer: A) | AquaRat_train |
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed? | [
"320",
"290",
"410",
"350"
] | D | Let x be the minimum number of questionnaires to be mailed.
0.6x = 210
x = 350
The answer is C. | AquaRat_train |
The average of a set of five distinct integers is 390. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers? | [
"-4,494",
"-4,044",
"The answer cannot be determined from the information given",
"-3,997"
] | B | Sum of the set = 390*5=1950 Each number is less than 2000 and median of the set is the greatest possible value.
Therefore last 3 numbers can be 1999,1998 and 1997. Their sum=5994.
Therefore sum of two smallest numbers= 1950-5994= -4044
Answer=D | AquaRat_train |
What are the key cells in the immune response? | [
"erythrocytes",
"keratinocytes",
"leukocytes",
"lymphocytes"
] | D | Lymphocytes are the key cells in the immune response. They are leukocytes that become activated by a particular antigen. There are two major type of lymphocytes: B cells and T cells. | SCiQ_train |
7 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote? | [
"45",
"42",
"41",
"47"
] | A | There are 10 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 10C2 = 45.
C | AquaRat_train |
A dog opens its mouth and lets its tongue hang out. A human's body produces sweat. These are two ways that organisms may adjust to | [
"cold temperatures",
"hot temperatures",
"a shortage of food",
"a shortage of drinking water"
] | B | MMLU_train | |
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race? | [
"111.92 m",
"111.12 m",
"111.13 m",
"117.12 m"
] | B | A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 -888.88 =111.12 m.
Answer:A | AquaRat_train |
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I. x > y> z
II. x = z
III. x > y | [
"III only",
"II only",
"None",
"I only"
] | A | 3x-3y=-3z
x-y=-z
Since z<0; -z>0
x-y>0
x>y
III correct.
We can't say much about z though;
x=-5; y=-100; z=-95
I and II incorrect.
Ans:D | AquaRat_train |
If x is an even integer and y = 5x + 1, which of the following CANNOT be a divisor of y? | [
"30",
"41",
"11",
"31"
] | A | x takes even values as 2,4,6,8.,
y=5x+1
x is an even term so 5x must be an even term when it adds with 1 so it must be a odd integer
30 didn't follows this condition ans is E | AquaRat_train |
A sum of money is distributed among A,B,C,D in the proportion of 6:4:8:5. If C gets $3000 more than D, what is the B's share? | [
"$5000",
"$6000",
"$4000",
"$2000"
] | C | Let the shares of A,B,C,D are 6x,4x,8x,5x
8x-5x = 3000
3x = 3000,X=1000
B's share = 4x = $4000
Answer is D | AquaRat_train |
A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job? | [
"15/4",
"14/2",
"15/2",
"13/4"
] | C | Let the total units of work done be 60.
Units of work done by A in one day = 5.
Given, B is 60% more efficient than A.
Thus, B will be able to finish 8 units of work in a day.
Therefore, time taken by B alone to complete the total work = 60/8 =15/2 days.
ANSWER:A | AquaRat_train |
A meteorite flew fast across the sky and exploded over central Russia on Friday, raining fireballs over a vast area and causing a shock wave that smashed windows, damaged buildings and injured l,200 people. People heading to work in Chelyabinsk heard what sounded like an explosion, saw a bright light and then felt th... | [
"some deaths",
"road accidents",
"communication problems",
"building collapse"
] | C | MMLU_train | |
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and chuck are not seated next to each other? | [
"56",
"76",
"96",
"72"
] | D | When the constraint on an arrangement says,Two people should not be seated together,we do just the opposite. We make them sit together! Kind of tie them with a thread and assume they are one unit!
Let's see why....
These 5 people can be arranged in 5! ways. These are the total number of ways you get.
Now, when we tie 2... | AquaRat_train |
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? | [
"1871",
"3972",
"2978",
"2387"
] | B | Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000 = Rs. 3972
Answer: C | AquaRat_train |
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 100 mph. What is his average speed of travel for the entire journey? | [
"64 mph",
"76 mph",
"56.67 mph",
"60 mph"
] | B | Answer
Average speed of travel = Total distance travelled/Total time taken
Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.
Distance covered in the first 2 hours = speed * time = 40 * 2 = 80 miles.
Distance covered in the next 3 hours = speed * time = 100 ... | AquaRat_train |
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? | [
"197",
"237",
"171",
"285"
] | D | Explanation:
Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs. 285.
Answer: D | AquaRat_train |
The average student age of a certain class which has 30 students is 10. If one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. What is the age of class teacher? | [
"45",
"32",
"41",
"50"
] | C | Sum of ages of class before replacement= 30x10=300
Sum of ages of class without teacher= 300-11=289
Sum of ages of class after replacement=30x11=330
Age of teacher=330-289=41
Answer: B | AquaRat_train |
There are 36 students in a certain geometry class. If one third of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall? | [
"27",
"12",
"18",
"9"
] | D | Total Students = 36
One third of the students are boys = 1/3*36 = 12
Three fourths of the boys are under six feet tall = 3/4*12 = 9 ...
Therefore Number of boys in the class under six feet tall = 9 ... Answer A....
Alternatively... Number of boys in the class under six feet tall = 3/4 of 1/3 of Total Students = 3/4*1/3... | AquaRat_train |
a revolution is when something revolves around | [
"dancing",
"poetry",
"more physical matter",
"cupcakes"
] | C | MMLU_train | |
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? | [
"12 2/11%",
"18 2/18%",
"18 9/11%",
"18 2/11%"
] | D | 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B | AquaRat_train |
The average height of 50 pupils in a class is250 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ . | [
"351 cm",
"251 cm",
"151 cm",
"241 cm"
] | B | Total height = 250 * 50 = 12500 cm.
New average = [12500 - 5 * 146 + 5 * 156 ] / 50 =251 cm.
ANSWER:D | AquaRat_train |
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