question stringlengths 10 716 | options listlengths 4 4 | answer stringclasses 4 values | correct_option stringlengths 1 63 | explanation stringlengths 0 2.6k | dataset stringclasses 3 values |
|---|---|---|---|---|---|
Find the perimeter of a triangle with sides measuring 5 centimeters,20 centimeters and 30 centimeters. | [
"30cm",
"40cm",
"50cm",
"55cm"
] | D | 55cm | perimeter of triangle=a+b+c
Perimeter = 5 cm + 20 cm + 30 cm = 55 cm
Answer: D. | aqua_rat |
Krista, a personal trainer, is buying energy drinks for her clients. If she has $20 on hand, which of the following options could Krista NOT buy if:
Rock Star = $2.00
Red Bull = $3.25
Monster = $2.50
NOs = 1.25 | [
"5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25)",
"8 Monster's (17.50)",
"1 Rockstar, 4 Red Bulls & 4 No's (20)",
"10 Rock Stars (20)"
] | A | 5 Rock Stars, 2 Red Bulls, 1 Monster & 1 NO's (20.25) | The Correct Answer would exceed the $20 Krista had on hand.
A= $20.25 (exceeds budget by 25 cents)
B= $20
C= $20
D= $20
E= $20
The Correct answer is A | aqua_rat |
30 quintals is what percent of 2 metric tonnes ? | [
"15%",
"1.5%",
"150%",
"30%"
] | C | 150% | Answer
Required percent = {30/(2 x 10)} x 100 % = 150%
Correct Option: C | aqua_rat |
Bradley owns b video game cartridges. If Bradley’s total is one-sixth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b? | [
"23b / 4",
"25b / 4",
"27b / 4",
"29b / 4"
] | D | 29b / 4 | b = Bradley’s total
6b = Andrew’s total
b/4 = Charlie’s total
The total number of cartridges is:
b + 6b+ b/4 = (4b + 24b + b) / 4 = 29b / 4
The answer is D. | aqua_rat |
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took? | [
"Rs.5500/-",
"Rs.6000/-",
"Rs.4000/-",
"Rs.7000/-"
] | B | Rs.6000/- | Explanation:
2 years = Rs.120/-
year = 120/2
Rate of Interest = 1%
100/1% × 120/2 = Rs.6000/-
P = Rs.6000/-
Answer: Option B | aqua_rat |
Within organs, arteries branch into what small vessels that convey blood to the capillaries? | [
"blood valves",
"arterioles",
"Metarterioles",
"aeortic vessels"
] | B | arterioles | science | |
How many even number in the range between 10 to 100 inclusive are not divisible by 3 | [
"15",
"30",
"31",
"33"
] | C | 31 | We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)
For 2,
10,12,14...100
using AP formula, we can say 100 = 10 + (n-1) *2
or n=46.
For 6,
12,18,...96
using AP formula, we can say 96 = 12 + (n-1) *6
or n=15.
Hence, only divisible by 2 but not 3 = 46-15 = 31. hence, Answer C | aqua_rat |
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? | [
"299",
"200",
"240",
"111"
] | C | 240 | Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m. Answer:C | aqua_rat |
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each? | [
"4000",
"345",
"5673",
"7248"
] | D | 7248 | Area of the four walls = 2h(l + b)
Since there are doors and WINDOWS, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 8 = Rs. 7248
Answer: Option D | aqua_rat |
What happens before the rigid structure that surrounds the plant cell dilates? | [
"It decreases",
"competition",
"air cools",
"relaxation"
] | D | relaxation | Dilation occurs when the rigid structure that surrounds the plant cell relaxes. | qasc |
if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ? | [
"2",
"4",
"6",
"14"
] | B | 4 | we know
dividend = divisor * quotient + remainder===> 217 = divisor * 54 + 1 =====> 216/54 = divisor ===> divisor = 4 Ans - B | aqua_rat |
How many integers are there between 55 and 108, inclusive? | [
"51",
"54",
"56",
"57"
] | B | 54 | I guess the easiest way to answer this is -
Say you have two positive integers, x and y where y > x
Then the number of integers between x and y is given by - (y - x) + 1
In this case, it's (108 - 55) + 1 =54. Option B | aqua_rat |
What happens to a chain of amino acids after it reaches a stop codon? | [
"released from the ribosome",
"digestion stops",
"metabolism begins",
"stays in ribosome"
] | A | released from the ribosome | The chain of amino acids keeps growing until a stop codon is reached. Then the chain is released from the ribosome. | science |
What is made of diverse hydrophobic molecules? | [
"solid, liquid, gas",
"gastropod shells",
"fur and fat",
"Steroid hormones"
] | D | Steroid hormones | Steroid hormones are made of diverse hydrophobic molecules | qasc |
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is? | [
"35",
"50",
"88",
"66"
] | A | 35 | Speed of the train relative to man
= (125/15) m/sec = (25/3) m/sec. [(25/3) * (18/5)] km/hr
= 30 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5
= 30 ==> x
= 35 km/hr.
Answer:A | aqua_rat |
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance? | [
"10 min",
"20 min",
"30 min",
"40 min"
] | D | 40 min | Sol. Distance between Ramgarh and Devgarh =(50*44)/60=110/3
Average speed of the bus is increased by 5 km/hr then the
speed of the bus = 55 km/hr
Required time = 110/3*60/55 = 40 min
D | aqua_rat |
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl? | [
"120",
"130",
"150",
"195"
] | D | 195 | The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:
(i) lw. 3 m in t 6X5X4' x 6C3 = 4x — — 80 3X2X1
x 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in °C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1 = 195
D | aqua_rat |
Brittany's income is 12 percent more than Tina's income, and Tina's income is 15 percent less than Jean's income. What percent of Jean's income is Brittany's income? | [
"95.2%",
"91.2%",
"96.2%",
"94.2%"
] | A | 95.2% | Jean's income = 100 (assume);
Tina's income = 85 (15 percent less than Jean's income);
Brittany's income = 95.2 (12 percent more than Tina's income).
Thus, Brittany's income (95.2) is 95.2% of Jean's income (100).
Answer: A | aqua_rat |
David paid $7,000 for 100 shares of stock X and $5,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/4 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been: | [
"A Gain of 1.67 times as much",
"A Gain of 1.4 times as much",
"A Gain of 2 times as much",
"A Gain of 1.6 times as much"
] | B | A Gain of 1.4 times as much | A = 7000; B = 5000; Profit = (3/4)*5000 = 3750
After prices are reversed:
A = 5000; B =7000; Profit = (3/4)*7000 =5250
5250 --> Gain of 1.4 times 3750
Answer: B | aqua_rat |
One hour after Matthew started waking from r to y, a distance of 45km, Johnny started walking along the same road from y to r. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met? | [
"24",
"23",
"22",
"21"
] | A | 24 | Just an alternative method...
After the first hour the distance r is 42 km (45-3). Now the problem can be treated as if bothof them started at the same time. Since the speeds are in the ratio 3 : 4, the distances will also be in the same ratio. Splitting 42 in that ratio we get 18 : 24. So answer is 24.
Hence A. | aqua_rat |
What is the greatest prime factor of 8^12 - 2^30? | [
"2",
"3",
"5",
"7"
] | D | 7 | 8^12 - 2^30?
8 = 2^3
8^12 = 2^36
2^36 - 2^30 = 2^30 (2^6 - 1) = 2^30 (64 - 1) = 2^30 (63) = 2^30 (7*3*3)
hence 2,3,7 are the prime factors of 8^12 - 2^30. here, 7 is the greatest prime factor.
Option D is correct. | aqua_rat |
John purchased a fridge and a mobile for Rs.5000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit. | [
"Rs. 100",
"Rs. 150",
"Rs. 200",
"Rs. 260"
] | C | Rs. 200 | Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C | aqua_rat |
A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year? | [
"59028",
"59010",
"59190",
"59000"
] | D | 59000 | Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer:D | aqua_rat |
Individuals with sickle cell anemia have crescent-shaped what? | [
"red blood cells",
"white blood cells",
"nerve cells",
"glial cells"
] | A | red blood cells | Figure 39.21 Individuals with sickle cell anemia have crescent-shaped red blood cells. (credit: modification of work by Ed Uthman; scale-bar data from Matt Russell). | science |
In order to survive and maintain what state, an organism must quickly adapt to changing environmental conditions? | [
"homeostasis",
"regulation",
"acclimatization",
"ketosis"
] | A | homeostasis | In prokaryotes, a combination of activators and repressors determines whether a gene is transcribed. As you know, prokaryotic organisms are fairly simple organisms with much less DNA. Prokaryotic genes are arranged in operons , a region of DNA with a promoter, an operator , and one or more genes that encode proteins needed to perform a certain task. To maintain homeostasis (and survive), the organism must quickly adapt changing environmental conditions. The regulation of transcription plays a key role in this process. | science |
Winter in the Northern Hemisphere | [
"correlate to warm sunny days in the Southern Hemisphere",
"are in sync with weather in the Southern Hemisphere",
"led to brisk fall days in the Northern Hemisphere",
"correlate to cold months in the Southern Hemisphere"
] | A | correlate to warm sunny days in the Southern Hemisphere | science | |
A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time? | [
"22",
"27",
"60",
"88"
] | B | 27 | In 120days, only 240m of the tunnel is constructed by 60 men.
The remaining 120days, 480m of the tunnel can be constructed by 120 men.
Additional number of men required = 120 - 60 = 60 men.
Answer: B | aqua_rat |
Every person at a birthday party either wants candy or a wants cake, but not both. The ratio of people who want cake to people who want candy is 9 to 6 . If 9 people decided they wanted candy instead of cake, the ratio of people who want cake to people who want candy will be 1 to 1. How many people could be at the party? | [
"60",
"50",
"90",
"45"
] | C | 90 | By checking the answer choices:
Since we have an initial ratio of 9:6, the total count should be divisible by 15.
A. 60/15=4, Cake People = 36, Candy People = 24, Since 36-9 is not equal to 24+9 this can not be the answer.
B. Out, Since not divisible by 15.
C. 90/15=6, Cake People = 54, Candy People = 36, Since 54-9 is equal to 36+9, this is the correct answer.
D. 45/15=3, Cake People = 27, Candy People = 18, Since 27-9 is not equal to 18+9 this as well can not be the answer.
E. Since choice D is not correct, choice E is also not correct.
C is the correct answer. | aqua_rat |
What shape is each face of a tetrahedron? | [
"trapezoid",
"oval",
"equilateral triangle",
"asymmetric triangle"
] | C | equilateral triangle | In order to maximize their distance from one another, the four groups of bonding electrons do not lie in the same plane. Instead, each of the hydrogen atoms lies at the corners of a geometrical shape called a tetrahedron. The carbon atom is at the center of the tetrahedron. Each face of a tetrahedron is an equilateral triangle. | science |
How many arrangements can be made if there are 5 balls from which 3 are red, 1 is green, 1 is yellow. find the probability of getting all 3? | [
"3/10",
"4/10",
"6/10",
"7/10"
] | A | 3/10 | arrangement = 5!/3!=20
Probability of getting all 3 balls=
3 from 5=5c3
1 from 3 red ball,1 green,1 yellow
(3c1*1c1*1c1)/5c3 =3/10
ANSWER:A | aqua_rat |
If log3(2), log3(2x - 5), log3(2x - 7/2) are in arithmetic progression, then the value of x is equal to | [
"5",
"4",
"2",
"3"
] | D | 3 | Explanation :
Using log a – log b = log(a/b) ,
=> 2/(y-5) = (y-5) / (y-3.5), where y = 2x.
Solving we get, y= 4 or 8 i.e x = 2 or 3.
It can't be 2 as log of negative number is not deifned.
Answer : D | aqua_rat |
A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price? | [
"1000",
"2998",
"3000",
"2788"
] | C | 3000 | 90%
108%
--------
18% ---- 540
100% ---- ? => Rs.3000
Answer:C | aqua_rat |
A pupil's marks were wrongly entered as 83 instead of 70. Due to the average marks for the class got increased by half. The number of pupils in the class is? | [
"18",
"82",
"26",
"27"
] | C | 26 | Let there be x pupils in the class.
Total increase in marks
= (x * 1/2) = x/2
x/2 = (83 - 70) => x/2
= 13 => x = 26.
Answer: C | aqua_rat |
The traffic lights at 3 different roads change after every 12 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously. | [
"9:18:36",
"9:42:15",
"10:15:24",
"9:54:12"
] | A | 9:18:36 | LCM of 12,72,108 =216 = 3mnts 36sec
The lines will change every 3m 36sec
The light will change again after 9:15 AM is = 9:15+0:03:36 = 9:18:36
Answer is A | aqua_rat |
What is the area of a square field whose diagonal of length 30 m? | [
"287",
"269",
"450",
"200"
] | C | 450 | d2/2 = (30 * 30)/2
= 450
Answer:C | aqua_rat |
There are 5 orators A, B, C, D, E. In how many ways can the arrangements be made so that A always comes before B and B always comes before C. | [
"5! / 3!",
"8! / 6!",
"5! x 3!",
"8! / (5! x 3!)"
] | A | 5! / 3! | Select any three places for A, B and C. They need no arrangement amongst themselves as A would always come before B and B would always come before C.
The remaining 2 people have to be arranged in 2 places.
Thus, 5C3 x 2! = 5! / 3!
ANSWER:A | aqua_rat |
If T = 5/9 * (K - 32), and if T = 35, then what is the value of K? | [
"92",
"95",
"98",
"101"
] | B | 95 | K-32=9T/5
K=9T/5 + 32
K=9(35)/5 + 32 = 95
The answer is B. | aqua_rat |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. | [
"288 m",
"704 m",
"898 m",
"556 m"
] | B | 704 m | In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 22.4 = 70400 cm = 704 m
Answer: B | aqua_rat |
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 finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many E ways can the assembly line be arranged? | [
"120",
"240",
"360",
"480"
] | C | 360 | 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 | aqua_rat |
The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.? | [
"115000",
"115500",
"116000",
"117000"
] | D | 117000 | Selling Price = 109% of CP;
:. CP = 126440 × 100/109 = 116000
D) | aqua_rat |
What do some animals use to get a feel for their environment? | [
"mechanoreceptors",
"neuroreceptors",
"nociceptors",
"fibroblasts"
] | A | mechanoreceptors | science | |
Solar cells create voltages directly from light, while thermoelectric devices create voltage from differences in what? | [
"wire width",
"oxygen",
"wattage",
"temperature"
] | D | temperature | Electromotive Force You can think of many different types of voltage sources. Batteries themselves come in many varieties. There are many types of mechanical/electrical generators, driven by many different energy sources, ranging from nuclear to wind. Solar cells create voltages directly from light, while thermoelectric devices create voltage from temperature differences. | science |
Seven machines at a certain factory operate at the same constant rate. If six of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all seven machines, operating simultaneously, to fill the same production order? | [
"3",
"4",
"5",
"6"
] | D | 6 | The total work is 6*42 = 252 machine hours
The time required for seven machines is 252/7 = 36 hours, thus 6 fewer hours.
The answer is D. | aqua_rat |
Which of the following integers doesn't have a divisor greater than 1 that is the square of an integer? | [
"12",
"36",
"100",
"61"
] | D | 61 | Prime Factorization
12=2*2*3=2^2*3. Includes a perfect square of 4.
36=2*2*3*3=2^2*3^2. Includes perfect squares of 4 and 9.
100=2*2*5*5=2^2*5^2. Includes the perfect squares 4 and 25.
61=61*1. 61 is prime, no perfect squares so a possibility.
72= 2*3*2*3*2=6^2*3. Includes perfect square of 36.
28=2*2*7=2^2*7. Includes a perfect square of 4.
All but 61 have a perfect square as a factor so the answer is D.
12=4*3. Perfect square of 4.
36=4*9. Perfect squares of 4 and 9.
100=4*25. Perfect squares 4 and 25.
61=61*1. No perfect squares.
72= 36*2. Perfect square of 36. | aqua_rat |
A motorist travels for 6 hours, the first half at 60 Kmph and the rest at 48 Kmph. Find the distance Traveled by him. | [
"234",
"124",
"324",
"452"
] | C | 324 | Distance = 3 * 60 + 3 * 48
= 180 + 144
= 324 Km
Answer C. | aqua_rat |
A white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. What is the area of the white paper, in square inches? | [
"96",
"196",
"128",
"144"
] | B | 196 | This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.
We're told that a white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. We're asked for the area of the frame, in square inches.
Area of a rectangle = (length)(width)
So the area of the black paper is... (8)(12) = 96
The white paper 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...
(8+2+2)(12+2+2) = (12)(16) = 196
When we 'punch out' the area of the black paper, we'll be left with the area of the white paper:
192 - 96 = 96
Final Answer:
B | aqua_rat |
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? | [
"Rs. 1991",
"Rs. 2991",
"Rs. 3991",
"Rs. 4991"
] | D | Rs. 4991 | Explanation:
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) – 34009 ]
= Rs. (39000 – 34009)
= Rs. 4991.
Answer D | aqua_rat |
What is a relationship between living things that depend on the same resources? | [
"contention",
"competition",
"symbiotic",
"parasitic"
] | B | competition | Competition is a relationship between living things that depend on the same resources. The resources may be food, water, or anything else they both need. Competition occurs whenever they both try to get the same resources in the same place and at the same time. The two organisms are likely to come into conflict, and the organism with better adaptations may win out over the other organism. | science |
How many positive even integers less than 100 contain digits 5 or 7? | [
"10",
"17",
"18",
"19"
] | A | 10 | Two digit numbers:
5 at tens place: 50,52,54,56,58
7 at tens place: 70,72,74,76,78
If 5 and 7 is at units place, the number cant be even
Total:5+5= 10
Answer A | aqua_rat |
Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task? | [
"16 days",
"12 days",
"8 days",
"6 days"
] | C | 8 days | Answer
Ram takes 24 days to complete the task, if he works alone.
Krish is twice as efficient as Ram is. So, working alone, Krish will take half the time to complete the task.i.e., 12 days.
Ram will complete 1/24th of the task in a day.
Krish will complete 1/12th of the task in a day.
When they work together, they will complete 1/24+1/12=1/8th of the task in a day.
Therefore, when they work together they will complete the task in 8 days.
Choice C | aqua_rat |
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 4.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar? | [
"6%.",
"7.7%.",
"9.2%.",
"10.5%."
] | B | 7.7%. | Denominator:
340+10+4.2+6.8=361
Numerator:
340(1-.88-.05)+4.2
340(0.07)+4.2
23.8+4.2
28
Ratio:
28/361=0.077
Answer: B | aqua_rat |
What is defined as the change of water from its liquid phase to its gaseous phase? | [
"absorption",
"transpiration",
"evaporation",
"condensation"
] | C | evaporation | science | |
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a black card and the second card is a king or queen? | [
"1/52",
"1/13",
"1/26",
"3/26"
] | B | 1/13 | P(black card) = 1/2
P(king or queen) = 2/13
P(black card then a king/queen) = 1/2 * 2/13 = 1/13
The answer is B. | aqua_rat |
What guards the opening between the right atrium and the right ventricle? | [
"brachiocephalic trunk",
"tricuspid valve",
"aorta",
"superior vena cava"
] | B | tricuspid valve | Right Atrium The right atrium serves as the receiving chamber for blood returning to the heart from the systemic circulation. The two major systemic veins, the superior and inferior venae cavae, and the large coronary vein called the coronary sinus that drains the heart myocardium empty into the right atrium. The superior vena cava drains blood from regions superior to the diaphragm: the head, neck, upper limbs, and the thoracic region. It empties into the superior and posterior portions of the right atrium. The inferior vena cava drains blood from areas inferior to the diaphragm: the lower limbs and abdominopelvic region of the body. It, too, empties into the posterior portion of the atria, but inferior to the opening of the superior vena cava. Immediately superior and slightly medial to the opening of the inferior vena cava on the posterior surface of the atrium is the opening of the coronary sinus. This thin-walled vessel drains most of the coronary veins that return systemic blood from the heart. The majority of the internal heart structures discussed in this and subsequent sections are illustrated in Figure 19.9. While the bulk of the internal surface of the right atrium is smooth, the depression of the fossa ovalis is medial, and the anterior surface demonstrates prominent ridges of muscle called the pectinate muscles. The right auricle also has pectinate muscles. The left atrium does not have pectinate muscles except in the auricle. The atria receive venous blood on a nearly continuous basis, preventing venous flow from stopping while the ventricles are contracting. While most ventricular filling occurs while the atria are relaxed, they do demonstrate a contractile phase and actively pump blood into the ventricles just prior to ventricular contraction. The opening between the atrium and ventricle is guarded by the tricuspid valve. | science |
Three models (S, T, and P) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model S, 17 cars of Model T, and 15 cars of Model P. What is the maximum number of cars of model S in any showroom ? | [
"17",
"16",
"15",
"14"
] | C | 15 | The total number of cars is 51. So each showroom has 17 cars(since the number of cars in each showrooms should be equal 51/3=17).
Moreover that the number of model S is maximum means that the numbers of model T and P should be minimum. Since each model must be represented by at least one car in every showroom that minimum number should be 1.
So Maximum number of model S is 17-2= 15.
The answer is (C) | aqua_rat |
If a thing has both seeds and reproductive dust, it is | [
"a producer",
"a meat source",
"a consumer",
"a marine mammal"
] | A | a producer | science | |
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? | [
"77.9 litres",
"72.9 litres",
"72.8 litres",
"62.9 litres"
] | B | 72.9 litres | Let the initial quantity of milk in vessel be T litres.
Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.
Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T
For the given problem, T = 90, y = 9 and n = 2.
Hence, quantity of milk finally in the vessel
= [(90 - 9)/90]2 (90) = 72.9 litres.
Answer: B | aqua_rat |
The average of the marks of 25 students in a class is 70. If the marks of each student are doubled, find the new average? | [
"140",
"100",
"85",
"160"
] | A | 140 | Sum of the marks for the 25 students
= 25 * 70 = 1750. The marks of each student are doubled, the sum also will be doubled.
The new sum = 1750 * 2 = 3500. So, the new average
= 3500/25 = 140.
Answer:A | aqua_rat |
In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once? | [
"1/3",
"4/9",
"5/9",
"2/3"
] | C | 5/9 | In Cricket game Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.
Answer: C. | aqua_rat |
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. What is the number of participants? | [
"21",
"22",
"23",
"24"
] | C | 23 | Let n be the number of participants.
The number of games is nC2 = n*(n-1) / 2 = 253
n*(n-1) = 506 = 23*22 (trial and error)
The answer is C. | aqua_rat |
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was? | [
"23777",
"37500",
"29977",
"26777"
] | B | 37500 | Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,
(x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 39/4 * 1/100)
(9x + 1100000 - 11x)/100 = 39000/4 = 9750
x = 62500
Sum invested at 9% = Rs. 62500
Sum invested at 11% = Rs. (100000 - 62500) = Rs. 37500.
Answer: B | aqua_rat |
Train X and train Y pass one another traveling in opposite directions. Thirty minutes later they are 100 miles apart. If train X’s constant speed is 40 miles per hour greater than train Y’s, how far does train X travel during that time? | [
"28",
"40",
"60",
"72"
] | C | 60 | Let the rate of the Train Y be R
Then the rate of the Train X will be R+40 (given)
As per relative rate concept, the rate at which they are increasing the distance between them is R+(R+40) [add the rates] i.e. 2R+40
d=100 and t = 30 min i.e 30/60 hr
using RTD table, (2R+40) * 30/60 = 100 ==> R= 80 miles/hr
So the rate of train X is 120 miles/hr (since R+40)
The distance traveled by Train X in 30 min is R*T = 120 * 30/60 = 60 miles (C) | aqua_rat |
If 170!/10^n is an integer, what is the largest possible value of n? | [
"47",
"46",
"41",
"48"
] | C | 41 | The question actually asks the highest power of 10 which divides 300! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)
10 = 2 x 5
170 factorial will have 41 as -
170/5 = 34
34/5 = 6
6/5 =1
So answer will be (C) 41 | aqua_rat |
A letter lock consists of three rings each marked with twelve different letters. The number of distinct unsuccessful attempts to open the lock is at the most? | [
"1762",
"1783",
"1727",
"1728"
] | C | 1727 | Since each ring consists of twelve different letters, the total number of attempts possible with the three rings is
= 12 * 12 * 12= 1728. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 1728 - 1 = 1727.
Answer: C | aqua_rat |
I can use a stopwatch to track | [
"The number of freckles I have on my back",
"How long the road is",
"My weight loss in 6 months",
"how many marshmallows I can eat in 10 minutes"
] | D | how many marshmallows I can eat in 10 minutes | science | |
What is 10-8+6-4+...+(-18)? | [
"-8",
"10",
"12",
"-4"
] | D | -4 | The expression considers all even numbers between 10 and -18 with alternate addition and subtraction of the numbers.
The numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, and -18.
Now, the first term is positive and the next term is subtracted. So, the required expression becomes,
10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12) + (-14) - (-16) + (-18)
= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10 + 12 - 14 + 16 - 18
= 58 - 62
= -4
Hence the correct answer choice is D. | aqua_rat |
A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? | [
"35",
"35.5",
"36",
"36.5"
] | C | 36 | 40 * T = 1 km => T = 1/40 km/h
V*(T+10/3600) = 1
V (1/40 + 10/3600) = 1
V (100/3600) = 1
V = 36 km/h
The answer is C. | aqua_rat |
4840÷8÷4=? | [
"151",
"156",
"189",
"134"
] | A | 151 | 4840 ÷ 8 = 605
605 ÷ 4 = 151
Answer is A | aqua_rat |
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? | [
"26%",
"25%",
"15%",
"28%"
] | B | 25% | SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer:B | aqua_rat |
If a-b= 9 and a^2+b^2=281, find the value of ab | [
"100",
"12",
"15",
"18"
] | A | 100 | 2ab = (a^2 + b^2) - (a - b)^2
= 281 - 81 = 200
=> ab = 100
ANSWER:A | aqua_rat |
Simplify: 5005-5000+10 | [
"4505",
"4509",
"4501",
"4508"
] | A | 4505 | 5005-5000+10
=5005-(5000/10)
=5005-500
=4505.
Answer is A | aqua_rat |
Today Joelle opened an interest-bearing savings account and deposited $10,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account? | [
"$12025",
"$11075",
"$11025",
"$11095"
] | C | $11025 | Interest for 1st year =10000*5/100 = 500
Interest for 2nd year = 10500 *5/100 = 525
Total =10000+500+525 = 11025
Answer : C | aqua_rat |
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? | [
"250",
"375",
"300",
"540"
] | B | 375 | A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
ANSWER B | aqua_rat |
B and C walk around a circular track. They start at 9 a.m from the same point in the opposite directions. B and C walk at a speed of 5 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 1 p.m | [
"34",
"35",
"36",
"37"
] | C | 36 | Explanation:
Relative speed = (5+4) =9 rounds per hour
So, they cross each other 9 times in an hour hence, they cross 36 times before 1 p.m
Answer: Option C | aqua_rat |
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person? | [
"17",
"19",
"12",
"28"
] | C | 12 | Initial average age of the 10 persons be P.
Age of the new person Q.
Sum of the ages of the initial 10 persons = 10P
New average = (P-3) 10(P-3) = 10P - 42 + Q => Q = 12
Answer:C | aqua_rat |
What is the smallest particle of an element that still has the element’s properties? | [
"an ion",
"an electron",
"an atom",
"a nucleus"
] | C | an atom | The smallest particle of an element that still has the element’s properties is an atom . All the atoms of an element are alike, and they are different from the atoms of all other elements. For example, atoms of gold are the same whether they are found in a gold nugget or a gold ring (see Figure below ). All gold atoms have the same structure and properties. | science |
In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr? | [
"7 sec",
"6 sec",
"8 sec",
"9 sec"
] | B | 6 sec | Solution
Speed = (72 x 5 /18) m/sec
= 20 m / sec
Time taken = (120 /20) sec
= 6 sec.
Answer B | aqua_rat |
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 4000. The difference between the profit shares of A and C is? | [
"621",
"276",
"236",
"1600"
] | D | 1600 | Explanation:
Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6
And also given that, profit share of B is Rs. 4000
=> 5 parts out of 15 parts is Rs. 4000
Now, required difference is 6 - 4 = 2 parts
Required difference = 2/5 (4000) = Rs. 1600
Answer: D | aqua_rat |
If the sum of 7 consecutive negative integers is -70, what is the value of the 2nd number in the sequence? | [
"8",
"-9",
"-8",
"9"
] | C | -8 | if sum is -70, the average = median = -70/7 = -10 = which is the middle in the sequence.
7/2 = 3.5. When rounded up = 4. So -10 is the 4th in the sequence.
4th - 2nd = 2 numbers away.
-10 + 2= -8
Answer: C | aqua_rat |
Which of the following could be the value of x, if |14x – 56| = 196? | [
"-14",
"-18",
"-10",
"10"
] | C | -10 | |14x – 56| = 196
=> 14x - 56 = 196
or 14x - 56 = -196
=> 14x = 252 or 14x = -140
=> x = 18 or x = -10
Answer C | aqua_rat |
Awordis defined as a sequence of four dots arranged in a row. Each dot is colored either red or blue. How many distinct words can be formed? | [
"16",
"15",
"6",
"18"
] | A | 16 | Each dot can be either yellow or blue, so 2 options for each dot: 2*2*2*2 = 16.
Answer: A. | aqua_rat |
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 756. What is the banker's discount? | [
"1240",
"1120",
"1190",
"1806"
] | D | 1806 | Explanation :
TD = (BG ×100)/TR = (756×100)/(6×12) = Rs. 1050
BG = BD – TD
=> 756 = BD - 1050
=> BD = 1050+ 756 = 1806 Answer : Option D | aqua_rat |
If X+Y = 2X-2Z, X+2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z? | [
"-4.5.",
"0.667.",
"1.7.",
"3."
] | B | 0.667. | X+Y = 2X-2Z
Y= X-2Z---------- 1
X+2Y = 4Z
-X+4Z= 2Y--------- 2
Adding equation 1 from equation 2
2Z = 3Y
Y/Z = 0.667
B is the answer | aqua_rat |
If 15648 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Options:
8 | [
"12 books",
"6 books",
"24 books",
"18 books"
] | B | 6 books | The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 15648.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 15648 =24 and 18 is divisible by 9.
Hence, we need to remove 6 to this number for it to be divisible by 9
Correct Option:B | aqua_rat |
What gives rise to offspring? | [
"sex",
"spring",
"bird",
"DNA"
] | A | sex | sex gives rise to offspring | qasc |
Salesperson A's compensation for any week is $360 plus 8 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation? | [
"$21,000",
"$18,000",
"$15,000",
"$ 7,750"
] | D | $ 7,750 | sometime, setting up an equation is an easy way to go with:
350 + 0.04(x - 1000) = 0.08 x
x = 7,750
Ans : D | aqua_rat |
The inverse ratio of 3: 6: 1 is? | [
"2:3:7",
"2:3:9",
"2:1:6",
"2:3:6"
] | C | 2:1:6 | 1/3: 1/6: 1/1 = 2:1:6
Answer:C | aqua_rat |
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 260 votes. The total number of votes polled was? | [
"votes",
"votes",
"votes",
"votes"
] | A | votes | Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 260
40% = 40×7 = 260
100% =100×7 =700 votes
A) | aqua_rat |
A ladies hostel had provision of food for 120 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is: | [
"39.47",
"39",
"39.23",
"39.74"
] | A | 39.47 | Explanation :
After 10 days : 120 women had food for 25 days.
Suppose 95 women had food for x days.
Now, Less women, More days (Indirect Proportion)
95 : 150 :: 25 : x
=> 95 x x = 150 x 25
=> x = 150 x 25 / 95
=> x = 39.47
Answer : A | aqua_rat |
How many digits are required to number a book containing 240 pages? | [
"756",
"612",
"492",
"372"
] | B | 612 | 9 pages from 1 to 9 will require 9 digits.
90 pages from 10 to 99 will require 90*2=180 digits.
240-(90+9)=141 pages will require 141*3=423 digits.
The total number of digits is 9+180+423=612.
The answer is B. | aqua_rat |
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is? | [
"288",
"2778",
"299",
"400"
] | D | 400 | 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
27. A and B start a busin. Answer: D | aqua_rat |
What is 15% of 2/3 of 0.5? | [
"0.05",
"0.9",
"9",
"90"
] | A | 0.05 | The best way to solve these questions is to convert every term into fraction
(15/100)*(2/3)*(5/10) = 150/3000 = 0.05
Option A | aqua_rat |
A girl has 12 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts? | [
"A)100",
"B)102",
"C)108",
"D)144"
] | D | D)144 | The girl can select one jeans in 12 ways.
The girl can select one shirt in 12 ways.
The number of ways in which he can select one jeans and one shirt is 12 * 12 = 144 ways.
D | aqua_rat |
In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr | [
"8.5 seconds",
"10 seconds",
"3.5 seconds",
"2.5 seconds"
] | B | 10 seconds | First convert speed into m/sec
Speed = 36*(5/18) = 10 m/sec
Time = Distance/speed
= 100/10 = 10 seconds
Answer: B | aqua_rat |
From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done? | [
"3252",
"1365",
"5325",
"1432"
] | B | 1365 | 11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans: B | aqua_rat |
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? | [
"720",
"620",
"520",
"820"
] | A | 720 | The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Answer is A. | aqua_rat |
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, how many birds A has killed? | [
"10",
"20",
"30",
"40"
] | C | 30 | Let the total number of shots=x
Shots fired by A=5x/8
Shots fired by B=3x/8
Killing shots by A=5x/8×1/3=5x/24
Missing shots by B=3x/8×1/2=3x/16
B has missed 27 times⇒3x/16=27
⇒x=27×16/3=144
Hence, killing shots by A=5x/24=(5×144)/24=5×12/2=30
i.e., A has killed 30 birds
Answer is C. | aqua_rat |
In a Question paper there are 3 multiple choice questions. Each question has 4 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 3 answers correct? | [
"19",
"85",
"63",
"54"
] | C | 63 | A candidate can answer the test in 4^3 number of ways (each question has 4 choices and we have total of 3 questions). Now, out of these cases there will be only one case when the candidate answered all the four questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 4^3-1=63.
Answer: D. | aqua_rat |
Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts? | [
"$57",
"$47",
"$7",
"$30"
] | D | $30 | $19 + $9 + $12 = $40 needed
1/4 x $40 = $10 on hand
$40 - $10 = $30 to earn
correct answer D | aqua_rat |
Jhaveri invested in Upendra&Upendra,Celco and Winger shares at Rs. 300,Rs.200 and Rs.5 per share respectively. He bought 100 shares for Rs.1000.The number of Upendra&Upendra and Celco shares he bought are respectively | [
"23,17",
"17,23",
"17,60",
"15,25"
] | D | 15,25 | 300a + 200 b + 5c = 10000
a + b + c = 100
295 a + 195 b = 9500
59 a + 39 b = 1900
using options a = 17 b = 23 we can solve it
ANSWER:D | aqua_rat |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.