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 |
|---|---|---|---|---|---|
The rate that energy is released is known as | [
"flow",
"pressure",
"heat",
"power"
] | D | power | Power is the rate that energy is released. The units for power are watts (W), which equal joules per second . For example, a 60 W light bulb transforms 60 joules of electrical energy into light and heat energy every second. | science |
A producer produces it's own | [
"nourishment",
"plays",
"rhythm",
"heartbeat"
] | A | nourishment | science | |
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 3 m, the volume of the box (in m3) is: | [
"3780",
"5120",
"6420",
"8960"
] | A | 3780 | Clearly, l = (48 - 6)m = 42 m,
b = (36 -6)m = 30 m,
h = 8 m.
Volume of the box = (42 x 30 x 3) m3 = 3780 m3. Answer: Option A | aqua_rat |
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? | [
"80",
"95",
"105",
"120"
] | D | 120 | 20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.
Then 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.
Make the total workers equal x and work from there and it should be fine > x/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.
Yes, you are right. I read the question incorrectly! I glazed overnotfor some reason.
If20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1/3 do not have retirement plan and 2/3 do have, it becomes a simple weighted average question.
Cavg = (70*1 + 40*2)/3 = 50% are men
Total = 120*100/50 = 240
No. of women = 240 - 120 = 120
D | aqua_rat |
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams R? | [
"16",
"R=32",
"R=64",
"128"
] | B | R=32 | Weight directly proportional to 4 pi r^2
Now, 4pi is constant, so, weight is directly proportional to r^2.
When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;
(0.15)^2 * 4 proportional to 8*4, solving further
(0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (B) | aqua_rat |
A plant photosynthesizing will do a more efficient job it it has | [
"thirty leaves",
"ten leaves",
"six leaves",
"one leaf"
] | A | thirty leaves | science | |
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? | [
"Rs.29.25",
"Rs.39.25",
"Rs.29.29",
"Rs.23.25"
] | A | Rs.29.25 | Average of 9 = x
9x = 8 * 3 + x * 2 x = 3.25
Total = 9 * 3.25 = 29.25
Answer:A | aqua_rat |
Two stations A and B are 200 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? | [
"9",
"10",
"11",
"12"
] | D | 12 | Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 200
45x = 225
x = 5.
So, they meet at 12 a.m.
Answer: Option D | aqua_rat |
In what time a sum of money double itself at 6% per annum simple interest? | [
"33 1/8%",
"16 2/3%",
"33 7/3%",
"32 1/3%"
] | B | 16 2/3% | P = (P*6*R)/100
R = 16 2/3%
Answer: B | aqua_rat |
A diver's air bubbles increase in size as he approaches the surface because what decreases? | [
"water weight",
"water energy",
"water direction",
"water pressure"
] | D | water pressure | A scuba diver, like the one in Figure below , releases air bubbles when he breathes under water. As he gets closer to the surface of the water, the air bubbles get bigger. Boyle’s law explains why. The pressure of the water decreases as the diver gets closer to the surface. Because the bubbles are under less pressure, they increase in volume even though the amount of gas in the bubbles remains the same. | science |
What are the three classifications of elements? | [
"metals, metaloids, and alkaloids",
"alkaloids, metaloids, and non-metals",
"metals, non-metals and alkaloids",
"metals, non-metals and metaloids"
] | D | metals, non-metals and metaloids | The majority of known elements are classified as metals. Metals are elements that are lustrous, or shiny. They are also good conductors of electricity and heat. Examples of metals include iron, gold, and copper. Fewer than 20 elements are classified as nonmetals. Nonmetals lack the properties of metals. Examples of nonmetals include oxygen, hydrogen, and sulfur. Certain other elements have properties of both metals and nonmetals. They are known as metalloids. Examples of metalloids include silicon and boron. | science |
what has a negative impact on the respiratory system? | [
"harmful substances",
"water-damaged carpets",
"a pathogens",
"lungs"
] | B | water-damaged carpets | water-damaged carpets have a negative impact on the respiratory system | qasc |
Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 320 square feet. How many feet offence does Frank use? | [
"14",
"47",
"54",
"56"
] | D | 56 | Area = Length x Breadth
320 = 40 x Breadth
So, Breadth = 8 Units
Fencing required is -
Breadth + Breadth + Length
8 + 8 + 40 => 56 feet
Answer must be (D) 56 | aqua_rat |
Find the HCF of 54, 288, 360 | [
"18",
"36",
"54",
"108"
] | A | 18 | Explanation:
Lets solve this question by factorization method.
18=2×32,288=25×32,360=23×32×5
So HCF will be minimum term present in all three, i.e.
2×32=18
Answer: Option A | aqua_rat |
The average of 45 results is 9. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result? | [
"515",
"480",
"750",
"650"
] | A | 515 | 23th result = sum of 45results - sum of 44 results
9*45-15*22+20*22 = 450-330+440 = 515
Answer is A | aqua_rat |
How many times are the hands of a clock at right angle in 6 hours? | [
"9",
"10",
"11",
"12"
] | C | 11 | In 12 hours, they are at right angles 22 times.
In 6 hours, they are at right angles 11 times. Answer: Option C | aqua_rat |
At a meeting of the 6 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table? | [
"56",
"64",
"72",
"80"
] | C | 72 | 6 people can be arranged around a table in 5! ways.
Consider the two chiefs who will not sit together as a single unit.
The number of ways to arrange 5 units around a table is 4!
We need to multiply this by 2 as the two people can be switched in each arrangement.
The total number of ways to arrange the chiefs is 5! - 2*4! = 3*4! = 72
The answer is C. | aqua_rat |
What sum of money will produce Rs.90 as simple interest in 4 years at 3 1/2 percent? | [
"263",
"500",
"367",
"642.9"
] | D | 642.9 | 90 = (P*4*7/2)/100
P = 642.9
Answer: D | aqua_rat |
If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled? | [
"25/216",
"50/216",
"25/72",
"25/36"
] | C | 25/72 | Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 3, there are three ways:
A 3 on the first roll and non 3 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 3 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C) | aqua_rat |
A bat may use echolocation to | [
"the grocery store",
"call a friend",
"track a moth",
"a concert"
] | C | track a moth | science | |
At present,the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ? | [
"12 years",
"15 years",
"19½ years",
"21 years"
] | B | 15 years | Solution
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.
Then, 4x +6 = 26 ⇔ 4x = 20 ⇔ x =5.
∴ Deepak's age =3x =15 years. Answer B | aqua_rat |
Falcons reside best in | [
"volcanoes",
"Scottish moors",
"tar pits",
"ocean trenches"
] | B | Scottish moors | science | |
There are 4 more women than men on Centerville's board of education. If there are 4 members on the board, how many are women? | [
"3",
"4",
"6",
"7"
] | B | 4 | Given: M=W-4 so, W+(W-4)=4 --> W=4.
Answer: B. | aqua_rat |
Of the five numbers in a sequence, the first term is 7,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers? | [
"6988.8",
"9,750.90",
"9,975.15",
"9,984.30"
] | A | 6988.8 | 1st number= 7,000
2nd number = 20% of 7,000= 1400
3rd number= 20% of 1400= 280
4th number = 20% of 280= 56
5th number= 20% of 56= 11.2
Range = 7,000-11.2= 6988.8
A is the answer | aqua_rat |
In an xy-coordinate plane, a line is defined by y = kx + 1. If (2, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ? | [
"1/2",
"1",
"3/2",
"2"
] | B | 1 | b=2k+1...(1)
b+1=ak+1...(2)
4=ak+1...(3)
Taking (2) and (3)
4=b+1
b=3
Taking (1)
3=2k+1
k=1
Answer : B | aqua_rat |
Cars C1 and C2 travel to a place at a speed of 30 and 45 km/h respectively. If car C2 takes 21⁄2 hours less time than C1 for the journey, the distance of the place is | [
"300 km",
"400 km",
"350 km",
"225 km"
] | D | 225 km | Let C1 takes t hrs. Then,
∴ Distance is same.
∴ 30t = 45(t - 5⁄2)
⇒ t = 15⁄2 hrs.
∴ Distance = 30 × 15⁄2 = 225 km
Answer D | aqua_rat |
The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average? | [
"78",
"56",
"80",
"27"
] | C | 80 | Sum of the marks for the 10 students
= 10 * 40 = 400. The marks of each student are doubled, the sum also will be doubled.
The new sum = 400 * 2 = 800. So, the new average
= 800/10 = 80.
Answer: C | aqua_rat |
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -. | [
"0.4869",
"0.5904",
"0.6234",
"0.5834"
] | B | 0.5904 | Explanation:
P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36) = 0.5904
ANSWER IS B | aqua_rat |
Sparrows gain lift with more grace than a vulture due to | [
"mental capacity",
"will power",
"feather color",
"size"
] | D | size | science | |
A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that Exactly three are not spoiled. | [
"116/495",
"224/495",
"129/495",
"187/495"
] | B | 224/495 | equired probability = 8C3 . 4C1/12C4 = 56 x 4/495
= 224/495.
ANSWER:B | aqua_rat |
81,162,49,98,25,50,55 | [
"110",
"127",
"129",
"128"
] | A | 110 | 81*2=162
49*2=98
25*2=50
55*2=110
ANSWER:A | aqua_rat |
If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q? | [
"60",
"28",
"26",
"17"
] | A | 60 | Explanation:
When P scores 80, Q scores 64.
When R scores 80, P scores 60
Hence, when R scores 150, Q scores (60 * 64 * 150) / (80 * 80) = 90
Therefore, in a game of 150, R can give 60 points to Q.
ANSWER: A | aqua_rat |
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 480 pounds of the seed mixture? | [
"6",
"12",
"20",
"24"
] | B | 12 | If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
480 / 40 = 12 acres
The answer is B. | aqua_rat |
Two different types of tea are mixed, at 6 Kg of type 1 and 4 Kg of type 2. One Kg of type 1 is Rs. 6 and that of type 2 is Rs. 7. The seller get 10% profit, by this action. Find at what price, he had sold the mixture/Kg? | [
"Rs 5.04",
"Rs 7.04",
"Rs 6.04",
"Rs 8.04"
] | B | Rs 7.04 | CP of 6 kg tea of type 1= 6*6=36 Rs.
CP of 4 kg tea of type 2= 4*7=Rs 28
CP of 10 kg mixed tea = Rs Rs 64
SP of mixture for 10% profit = 64*1.1= Rs 70.4
SP of 1kg mixed tea = Rs 7.04
ANSWER:B | aqua_rat |
What is the sum of all remainders obtained when the first 300 natural numbers are divided by 9? | [
"397",
"401",
"403",
"405"
] | D | 405 | A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.
1 divided by 9 gives the remainder of 1;
2 divided by 9 gives the remainder of 2;
...
8 divided by 9 gives the remainder of 8;
9 divided by 9 gives the remainder of 0.
We'll have 11 such blocks, since 99/9=11. The last will be:
91 divided by 9 gives the remainder of 1;
92 divided by 9 gives the remainder of 2;
...
98 divided by 9 gives the remainder of 8;
99 divided by 9 gives the remainder of 0.
The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:
11(1+2+3+4+5+6+7+8+0)+1=405.
Answer: D. | aqua_rat |
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task. | [
"13/14",
"13/10",
"13/18",
"13/16"
] | A | 13/14 | 3 m + 8 w = 6 m + 2 w
3 m = 6 w
1 m = 2 w
Therefore 3 m + 8 w = 14 w
4 m + 5 w =13 w
Answer is 13/14
Answer: A | aqua_rat |
Find out the number of ways in which 6 rings of different types can be worn in 3 fingers? | [
"120",
"720",
"125",
"729"
] | D | 729 | Explanation :
The first ring can be worn in any of the 3 fingers
=> There are 3 ways of wearing the first ring
Similarly each of the remaining 5 rings also can be worn in 3 ways
Hence total number of ways
=3×3×3×3×3×6=36=729. Answer : Option D | aqua_rat |
A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is? | [
"120m",
"180m",
"240m",
"220m"
] | A | 120m | Speed = (6/10 * 60) km/hr = (36 * 5/18) m/sec = 10 m/sec.
Length of the train = 10 * 12 = 120 m.
ANSWER:A | aqua_rat |
One way to recycle paper is by using it to | [
"build oceans",
"build spaceships",
"wipe grime",
"build cars"
] | C | wipe grime | science | |
which of the following is exactly in the middle between 3 and 1 in below arrangement?
P R E 5 D A P $ 3 T I Q 7 9 B # 2 K % U 1 M W 4 * J 8 N | [
"7",
"8",
"9",
"6"
] | C | 9 | 9. ITS THE 6TH LETTER FROM BOTH THE SIDE
ANSWER:C | aqua_rat |
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? | [
"2000",
"4000",
"5000",
"1000"
] | B | 4000 | Let monthly income A = a
monthly income of B = b
monthly income C= c
a+b=2*5050 --- 1
b+c=2*6250----2
a+c=2*5200----3
add 3 eqns
a=4000
monthly income of A = 4000
ANSWER B | aqua_rat |
If e = 20! + 17, then e is divisible by which of the following?
I. 15
II. 17
III. 19 | [
"None",
"I only",
"II only",
"I and II"
] | C | II only | Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So e!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer. | aqua_rat |
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 77 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? | [
"550",
"245",
"150",
"35"
] | A | 550 | Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.
We are told that this number equals to 77, so 0.14*{total} = 77 --> {total} = 550.
Answer: A. | aqua_rat |
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 998 ? | [
"249",
"498",
"676",
"823"
] | B | 498 | slope of 2 and a y-intercept of 2
y-coordinate is 998
y = 2x + 2
996 = 2x
x = 498
Answer:
B. 498 | aqua_rat |
What is the term for a theoretical framework for describing evolutionary change in populations through the change in allele frequencies? | [
"total genetics",
"density genetics",
"population genetics",
"percent genetics"
] | C | population genetics | CHAPTER SUMMARY 11.1 Discovering How Populations Change Evolution by natural selection arises from three conditions: individuals within a species vary, some of those variations are heritable, and organisms have more offspring than resources can support. The consequence is that individuals with relatively advantageous variations will be more likely to survive and have higher reproductive rates than those individuals with different traits. The advantageous traits will be passed on to offspring in greater proportion. Thus, the trait will have higher representation in the next and subsequent generations leading to genetic change in the population. The modern synthesis of evolutionary theory grew out of the reconciliation of Darwin’s, Wallace’s, and Mendel’s thoughts on evolution and heredity. Population genetics is a theoretical framework for describing evolutionary change in populations through the change in allele frequencies. Population genetics defines evolution as a change in allele frequency over generations. In the absence of evolutionary forces allele frequencies will not change in a population; this is known as Hardy-Weinberg equilibrium principle. However, in all populations, mutation, natural selection, genetic drift, and migration act to change allele frequencies. | science |
A contest will contain n questions each of which is to be answered either true or false. Anyone who answers all n questions correctly will be a winner what is the least value of n for which the probability is less then 1/1000 then a person who randomly guesses the answer to each q's will be a winner? | [
"5",
"10",
"50",
"100"
] | B | 10 | The probability that a person will randomly guess all nn questions correctly is 1/2n1, so we want the value of nmin for which 1/2n<1<11000 --> 2n>1000 as nn is an integer nmin==10 (2^10=1024>1000).
Answer: B. | aqua_rat |
City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? | [
"57",
"57.5",
"58.2",
"59"
] | B | 57.5 | The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B | aqua_rat |
is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 42, then how old is B? | [
"16",
"8",
"9",
"10"
] | A | 16 | Let C's age be x years.
Then, B's age = 2x years.
A's age = (2x + 2) years.
(2x + 2) + 2x + x = 42
5x = 40 => x = 8
Hence, B's age = 2x = 16 years.
ANSWER:A | aqua_rat |
The lungs, kidneys, skin, and large intestine are all part of what organ system? | [
"digestive",
"respiratory",
"sensory",
"excretory"
] | D | excretory | Organs of the excretory system include the kidneys, large intestine, skin, and lungs. | science |
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.12828",
"Rs.12800",
"Rs.12829",
"Rs.12297"
] | B | Rs.12800 | 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B | aqua_rat |
A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? | [
"0.09",
"0.15",
"0.54",
"0.75"
] | D | 0.75 | According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (22 + 18 + 5)/60 = 45/60 = 0.75.
Answer: D. | aqua_rat |
We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value E of the ratio A/B? | [
"1/2",
"1/3",
"2/3",
"1/4"
] | A | 1/2 | E-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A. | aqua_rat |
From a square piece of a paper having each side equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of the original square is nearly : | [
"4⁄5",
"3⁄5",
"5⁄6",
"6⁄7"
] | A | 4⁄5 | Area of the square = (10)2 = 100 cm2
Area of the circle = 22⁄7 × (5)2 = 22×25/7
Required ratio = 22×25/7×100=22/28=11/14
= 0.785 ≈ 0.8 = 4⁄5
Answer A | aqua_rat |
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King | [
"1/29",
"1/26",
"1/26",
"1/25"
] | B | 1/26 | Explanation:
Let X be the event that cards are in a club which is not king and other is the king of club.
Let Y be the event that one is any club card and other is a non-club king.
Hence, required probability:
=P(A)+P(B)
=\inline {\color{Black}[(12C_{1}\times 1C_{1})/52C_{2}]+[(13C_{1}\times 3C_{1})/52C_{2}]}
Answer: B) 1/26
== = | aqua_rat |
If x^2 + y^2 = 13 and xy = 3, then (x − y)^2 = | [
"7",
"11",
"14",
"17"
] | A | 7 | but you cannot take xy+ 3 to mean xy=-3..
only if xy+3=0, it will mean xy=-3..
rest your solution is perfect and you will get your correct answer as 13-2*3=7..
Answer A | aqua_rat |
The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? | [
"22678",
"26699",
"26788",
"19000"
] | D | 19000 | Money paid in cash = Rs. 1000
Balance payment = (20000 - 1000) = Rs. 19000
Answer: D | aqua_rat |
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.440 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office. | [
"400",
"420",
"480",
"450"
] | C | 480 | Let no. of non- officers be x
15 * 440 + x * 110 = (x + 15) 120
x = 480
C | aqua_rat |
The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 28%, then the value of X is ? | [
"25",
"13.8",
"16",
"15"
] | B | 13.8 | let S.P. of X books = Rs 100 = C.P. of 20 books
Therefore, C.P. of one book = Rs 5.6
Profit = 28 %
Therefore, S.P of one book = 7.2
S.P of X articles = 7.2 X
7.2 X = 100 => X = 13.8
ANSWER:B | aqua_rat |
P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is P's share? | [
"112",
"120",
"134",
"144"
] | A | 112 | Explanation :
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
P's share = 378 * (7/21) = 112. Answer : Option A | aqua_rat |
The letters in the word "PLACES" are permuted in all possible ways and arranged in the alphabetical order.Find the word at 48 position. | [
"AESPCL",
"ALCEPS",
"ALSCEP",
"AESPLC"
] | D | AESPLC | for words AC**** possible ways for arranging * will be 4!=24
now next seq in alphabatical order will be AE**** so....
same way for AE**** possible ways for arranging * will be 4!=24
..
..
Thus, 48th element will be last element in AE**** that means AE followd by reverse alphabatical order! which is AESPLC
ANSWER:D | aqua_rat |
A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | [
"300m",
"278m",
"350m",
"228m"
] | A | 300m | Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 36
= 50/3
3(x + 300)
= 1800 è x
= 300m.
Answer:A | aqua_rat |
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. | [
"2",
"3",
"4",
"5"
] | C | 4 | Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140 = 4.
answer :C | aqua_rat |
What is the limiting factor for bacteria in a dish? | [
"speed",
"space",
"material",
"density"
] | B | space | The blades of simple leaves are not divided. This provides the maximum surface area for collecting sunlight. | science |
In a group of 12 engineers, 4 engineers have a PHD degree; the others have only an MS or BS degree. A team of 4 engineers is to be chosen which must have at least 1 engineer with a PHD, how many different teams can be chosen? | [
"495",
"70",
"245",
"425"
] | D | 425 | The problem asks for a combination, since order doesn't matter. Now, selecting r items from a set of n gives the Combination Formula: nCr= n!/r!(n-r)!
n = 12
r = 4
So, total teams is 12C4 = 12!/(4!(12 - 4)!) = 495, and
n = 12 - 4 = 8
r = 4
for teams without a PHD is 8C4 = 8!/(4!(8 - 4)!) = 70,
so, teams with at least 1 PHD = 495 - 70 = 425
Answer: D | aqua_rat |
Bonding in molecules with resonance forms is better described by which theory? | [
"Geiger theory",
"Pascal's theory",
"molecular orbital theory",
"string theory"
] | C | molecular orbital theory | Hybridization involves only σ bonds, lone pairs of electrons, and single unpaired electrons (radicals). Structures that account for these features describe the correct hybridization of the atoms. However, many structures also include resonance forms. Remember that resonance forms occur when various arrangements of π bonds are possible. Since the arrangement of π bonds involves only the unhybridized orbitals, resonance does not influence the assignment of hybridization. For example, molecule benzene has two resonance forms (Figure 8.26). We can use either of these forms to determine that each of the carbon atoms is bonded to three other atoms with no lone pairs, so the correct hybridization is sp2. The electrons in the unhybridized p orbitals form π bonds. Neither resonance structure completely describes the electrons in the π bonds. They are not located in one position or the other, but in reality are delocalized throughout the ring. Valence bond theory does not easily address delocalization. Bonding in molecules with resonance forms is better described by molecular orbital theory. (See the next module. | science |
30 men can do a work in 40 days. When should 14 men leave the work so that the entire work is completed in 40 days after they leave the work? | [
"87 days",
"16 days",
"55 days",
"44 days"
] | B | 16 days | Total work to be done = 30 * 40 = 1200
Let 14 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.
40P + (14 * 40) = 1200
40P = 640 => P = 16 days
Answer:B | aqua_rat |
In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error | [
"0.34%",
"0.034%",
"0.0034%",
"0.00034%"
] | B | 0.034% | Error = (81.5 – 81.472)km = 0.028.
Required percentage = [(0.028/81.472)*100]% = 0.034%.
Answer is B. | aqua_rat |
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 192 as interest at the end of the loan period, what was the rate of interest? | [
"3.6",
"6",
"4",
"Cannot be determined"
] | C | 4 | Let rate = R% and time = R years.
Then,1200 x R x R/100= 192
12R2 = 192
R2 = 16
R = 4.
Answer:C | aqua_rat |
The tax on a commodity is diminished by 25% and its consumption increased by 15%. The effect on revenue is? | [
"12% decrease",
"18% decrease",
"19% decrease",
"13.75% decrease"
] | C | 19% decrease | 100 * 100 = 10000
75 * 115 = 9200
-----------
10000-----------1375
100-----------? => 13.75% decrease
Answer: C | aqua_rat |
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14% while buying and by 20% while selling. What is his percentage profit? | [
"10.22%",
"20.22%",
"21.22%",
"42.5%"
] | D | 42.5% | The owner buys 100 kg but actually gets 114kg;
The owner sells 100 kg but actually gives 80kg;
Profit: (114-80)/80*100=~42.5%
Answer: D. | aqua_rat |
What percent of a day is 6 hours? | [
"6.25%",
"20%",
"25%",
"12.5%"
] | C | 25% | Total hours in a day = 24
Required percent =6×100=25%
---
24
Answer: Option C | aqua_rat |
What is the most important characteristic of a homogeneous mixture? | [
"uniform composition throughout",
"very reactive",
"high density",
"nonreactive"
] | A | uniform composition throughout | A homogeneous mixture is a mixture in which the composition is uniform throughout the mixture. The salt water described above is homogeneous because the dissolved salt is evenly distributed throughout the entire salt water sample. Often it is easy to confuse a homogeneous mixture with a pure substance because they are both uniform. The difference is that the composition of the substance is always the same. The amount of salt in the salt water can vary from one sample to another. All solutions would be considered homogeneous because the dissolved material is present in the same amount throughout the solution. | science |
A group of 7 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the six other students from the group? | [
"5.76%",
"4.76%",
"15.75%",
"20.67%"
] | B | 4.76% | The question basically asks about the probability that Bob and Lisa sit at the ends.
The total # of sitting arrangements is 7!.
Desired arrangement is either BVWXYZL or LVWXYZB. Now, VWXYZ can be arranged in 5! ways, therefore total # of favorable arrangements is 2*5!.
P=(favorable)/(total)=(2*5!)/7!=1/21.
Answer: B. | aqua_rat |
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1628? | [
"s.109",
"s.108",
"s.110",
"s.103"
] | C | s.110 | 3x 4x 5x
6 9 4
18x + 36x + 20x = 1628
74x = 1628 => x = 22
5x = 110 Rs.
Answer:C | aqua_rat |
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? | [
"13",
"33",
"50",
"51"
] | C | 50 | The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.
It means there is no effect of change in volume of water to the costing of the solution
So a solution of 1 liter of spirit and 2 liters of water will cost 50 cents
Answer = 50
ANSWER:C | aqua_rat |
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? | [
"62.5",
"62.1",
"62.9",
"62.2"
] | A | 62.5 | CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(95/100) = 59.375
MP = 62.5
Answer: A | aqua_rat |
The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 1 year older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? | [
"20",
"21",
"22",
"23"
] | D | 23 | Let the average age of the whole team be x years.
11x - (27 + 28) = 9 (x - 1)
11x - 9x = 46
2x = 46
x = 23.
The average age of the team is 23 years.
The answer is D. | aqua_rat |
In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is? | [
"5 km/hr",
"7 km/hr",
"9 km/hr",
"2 km/hr"
] | A | 5 km/hr | Let Abhay's speed be x km//hr.
Then, 30/x - 30/2x = 3
x = 5 km/hr.
Answer:A | aqua_rat |
Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 40 minutes, for how many kilometers total did she hike east? | [
"3.625",
"3.5",
"3",
"3.04"
] | D | 3.04 | Set up two R x T =D cases.
1. 1/12 km/ min x T = 2.75
from which T= 33 mins.
We know total journey time now is 40 +33 =73.
The rate is the same ie 1/12km/min.
set up second R x T =D case.
1/12 km/min x 73 = 6.08 km
Now the total journey would be halved as distance would be same in each direction. 6.08/2 =3.04
D. | aqua_rat |
If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle? | [
"45°",
"30°",
"11.25°",
"18°"
] | C | 11.25° | The complement of angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.
The original angle is x, so the complement is 7x, and together, these add up to 90 degrees.
x + 7x = 90
8x = 90
x = 11.25°
Answer = (C) | aqua_rat |
A man swims downstream 96 km and upstream 40 km taking 8 hours each time; what is the speed of the current? | [
"3.5 kmph",
"1.5 kmph",
"13 kmph",
"6.5 kmph"
] | A | 3.5 kmph | Explanation:
96 --- 8 DS = 12
? ---- 1
40 ---- 8 US = 5
? ---- 1 S = ?
S = (12 - 5)/2 = 3.5
Answer: Option A | aqua_rat |
What most likely caused the castle built by children at the beach to disappear? | [
"a cat ran off with it",
"a dog carried it away in its mouth",
"someone cast a magic spell on it",
"very strong eddies of fast moving air carried it away over time"
] | D | very strong eddies of fast moving air carried it away over time | science | |
if members of a species are born then the species what increases? | [
"water",
"community",
"understanding",
"food"
] | B | community | science | |
Felix earned 70% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar? | [
"10%",
"9.09%",
"40%",
"39.09%"
] | D | 39.09% | This Q is all about taking the correct BASE for taking %s..
the very first step requires taking some numbers for each..
ONE should be 100...
it is easy to take 30 and 100 here..
but the BASE is 100 here, so the salary can be 100 and 170..
100 increases 10% =110..
170 decreases 10%=153..
so the increase is 43..
again the BASE is 110, so answer 43/110 * 100= 39.09% D
without calculations,
answer cannot be equal to or greater than 40, as 43 is on 110..
so D is the only one left | aqua_rat |
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turnon to be white, if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ? | [
"2/3",
"5/8",
"3/5",
"3/8"
] | B | 5/8 | Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.
∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]
= 1/4 [(4 + 3 + 2 + 1)/4] = 5/8
B | aqua_rat |
If the average cost of a house was $50,000 in 1965 and was x in 2000, what was the average increase in home prices per year over this period? | [
"A)(x+50,000)/40",
"B)(x-50,000)/35",
"C)(50,000/40)+x",
"D)(50,000-x)/40"
] | B | B)(x-50,000)/35 | Average house price in 2000: x
Average house price in 1965: 50,000
2000-1965=35
Average increase per year: (x-50,000)/35
Answer is B | aqua_rat |
In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women? | [
"85%",
"80%",
"75%",
"70%"
] | A | 85% | The percent of employees who are unionized and men is 0.7*0.6 = 42%
The percent of employees who are unionized and women is 60 - 42 = 18%
52% of all employees are women, so non-union women are 52%-18% = 34%
40% of all employees are non-union.
The percent of non-union employees who are women is 34%/40% = 85%
The answer is A. | aqua_rat |
If a thing is going to shock you, you could block the shock best with | [
"a log cabin",
"a metal plane",
"an aluminium cup",
"a tin can"
] | A | a log cabin | science | |
some birds are pollinators that co-evolved with what? | [
"potatoes",
"bushes",
"Oak",
"seeds"
] | B | bushes | some birds are pollinators that co-evolved with bushes | qasc |
The sum of the ages of 4 children is 52 years. The age of the youngest child is 4. If the intervals of years each born is same find the interval? | [
"4",
"8",
"10",
"6"
] | D | 6 | Explanation:
Let the interval is x .The youngest child's age is 4. Each of the other 3 children will then be 4+x, 4+2x, 4+3x
We know that the sum of their ages is 52 .
so, 4+(4+x)+(4+2x)+(4+3x) = 52
x= 6
Answer: D | aqua_rat |
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.9000. How much third person will get? | [
"2400",
"4000",
"2699",
"2662"
] | B | 4000 | First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 9000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 9000 = 4000
Answer: B | aqua_rat |
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed? | [
"240",
"288",
"665",
"199"
] | A | 240 | S = 600/40 = 15 mps
S = 3600/15 = 240 sec
= 4 min
Answer: A | aqua_rat |
Raju age after 45 years will be 5 times his age 5 years back, What is the present age of Raju | [
"28.5",
"17.2",
"10.2",
"17.5"
] | D | 17.5 | Clearly,
x+45 = 5(x-5)
<=> 4x = 70 => x = 17.5
Answer:D | aqua_rat |
Three unbiased coins are tossed. What is the probability of getting at least 2 tails? | [
"0.75",
"0.5",
"0.25",
"0.2"
] | B | 0.5 | EXPLANATION:
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
E = {HTT, THT, TTH, TTT}
n(S) = 8
n(E) = 4
P(E) =n(E) / n(S) = 4/8 = 0.5
ANSWER IS B | aqua_rat |
30 carrots on a scale weigh 5.94 kg. When 3 carrots are removed from the scale, the average weight of the 27 carrots is 200 grams. What is the average weight (in grams) of the 3 carrots which were removed? | [
"165",
"170",
"175",
"180"
] | D | 180 | 27*200=5400.
The other 3 carrots weigh a total of 540 grams.
The average weight is 540/3 = 180 grams.
The answer is D. | aqua_rat |
In a game, a person is declared winner, if he gets 4 consecutive tails in five throws of a coin. What is the probability of A to win if he has got a tail in the first throw? | [
"1/5",
"1/4",
"1/8",
"1/16"
] | C | 1/8 | First throw = Tails
For a person to win, the next 3 throws must be tails and the 5th throw can be heads or tails. i.e. TTTTH or TTTTT
So the person can win in 2 ways if the first throw is Tails.
Total number of outcomes for the next 4 throws = 2^4 = 16
Probability = 2/16 = 1/8
Answer: C | aqua_rat |
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $50 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year? | [
"$752",
"$755",
"$765",
"$788"
] | D | $788 | = (750*6+ 800 *20)/26
= 788
Answer is D.
Posted from my mobile device | aqua_rat |
A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set? | [
"33",
"35",
"38",
"48"
] | D | 48 | The average of 7 numbers is 23 --> the sum of these numbers is 7*23=161;
The median of 7 numbers is 23 --> 23 is the middle term: {*, *, *, 23, *, *, *};
The largest value is equal to 15 more than 4 times the smallest number --> say the smallest number is x then the largest number would be 4x+15, so our set is {x, *, *, 23, *, *, 4x+15};
Now, in order to maximize the range we need to make the second and the third numbers equal to x and the fifth and sixth numbers equal to 23, so the set should be {x, x, x, 23, 23, 23, 4x+15}.
Since the sum is 161 then x+x+x+23+23+23+4x+15=161 --> x=11.
The range is (4x+15)-x=3x+15=48.
Answer: D. | aqua_rat |
The source of a type of energy we use is a | [
"planet",
"star",
"meteor",
"rock"
] | B | star | science | |
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 40, the dividend is: | [
"A)5322",
"B)5330",
"C)4040",
"D)5340"
] | C | C)4040 | Divisor = (5 * 40) = 200
= 10 * Quotient = Divisor
=> Quotient = 200/10 = 20
Dividend = (Divisor * Quotient) + Remainder
Dividend = (200 * 20) + 40 = 4040.
C | aqua_rat |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.