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 |
|---|---|---|---|---|---|
what can cause fatigue? | [
"cigarettes",
"Dehydration",
"expansion",
"Pollution"
] | C | expansion | expansion can cause fatigue | qasc |
A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 150 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip? | [
"280",
"210",
"300",
"310"
] | B | 210 | Avg speed = total distance/ total time
total distance = 800
total time = 400/350 + 400/150 = 80/21
=> avg speed = (800*21)/80 = 210(approx)
ans is B | aqua_rat |
What type of maps detail detail the types and locations of rocks found in an area? | [
"polar maps",
"contour maps",
"gnomic maps",
"geologic maps"
] | D | geologic maps | Geologic maps detail the types and locations of rocks found in an area. | science |
Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and twice the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b? | [
"(16/3)b",
"(17/4)b",
"(13/4)b",
"(9/2)b"
] | D | (9/2)b | Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlie’s totals in relation to Bradley’s total rather than giving you Bradley’s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlie’s values in relation to Bradley’s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b = Bradley’s total
3b = Andrew’s total
(1/2)b = Charlie’s total
Add each total
b + 3b+ (1/2)b = 4b + (1/2)b = (16/4)b + (1/2)b = (9/2)b
Therefore,choose D. | aqua_rat |
If a boat goes 9km upstream in 108 minutes and the speed of the stream is 2 kmph, then the speed of the boat in still water is ? | [
"5",
"6",
"7",
"8"
] | C | 7 | Rate upsteram =(9/108*60)kmph=5kmph.
speed of the stream =2kmph let speed in still water be xkm/hr. then speed upstream=(x-2)km/hr. x-2=5==>x=7km/hr Answer(C) | aqua_rat |
The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs 3. The ratio of two selling prices is | [
"51:53",
"52:53",
"53:54",
"54:55"
] | A | 51:53 | Explanation:
Let the Cost price of article is Rs. x
Required ratio = (102% of x) / (106% of x)
=102/106
=51/53 = 51:53.
Answer: A | aqua_rat |
A college starts from 10 AM continues till 1:30 PM. In this duration there are five periods. If 5 minutes are provided before each period to leave the room and enter the other, then what is the duration of each period? | [
"38 min",
"41 min",
"40 min",
"42 min"
] | A | 38 min | before first period no need to leave the room and enter the room.
so,for 5 periods 4 times 5 minutes break will be provided. that is 20 mins.
10 A.M-1:30 P.M=210mins
210-20=190
therefore 190/5=38 mins.
ANSWER:A | aqua_rat |
dead organisms are the source of what for decomposers? | [
"place to sleep",
"art",
"friendship",
"sustenance"
] | D | sustenance | science | |
If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively: | [
"Rs.260",
"Rs.360",
"Rs.350",
"Rs.364"
] | B | Rs.360 | (A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4
A:B = 2:3 and B:C = 1:4 = 3:12
A:B:C = 2:3:12
A;s share = 510 * 2/17 = Rs. 60
B's share = 510 * 3/17 = Rs. 90
C's share = 510 * 12/17 = Rs.360.
Answer: B | aqua_rat |
The unit digit in the product (722 * 774 * 889 * 223) is: | [
"2",
"7",
"6",
"8"
] | C | 6 | Explanation:
Unit digit in the given product = Unit Digit in (2*4*9*3) = 6
ANSWER: C | aqua_rat |
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? | [
"752",
"450",
"719",
"750"
] | B | 450 | Speed = [54 * 5/18] m/sec = 15 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 15 è x = 15 * 60 / 2 = 450
Answer: B | aqua_rat |
When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount? | [
"5040",
"5020",
"5010",
"5030"
] | A | 5040 | Let the total amount be Rs. X the,
x/14 - x/18 = 80<=> 2x/126 = 80 <=> x/63 =63 x 80 = 5040.
Hence the total amount is 5040.
Answer is A. | aqua_rat |
What is made and stored primarily in the cells of the liver and muscles? | [
"carbon dioxide",
"glucose",
"glycogen",
"oxygen"
] | C | glycogen | Glycogen is an even more highly branched polysaccharide of glucose monomers that serves a function of energy storage in animals. Glycogen is made and stored primarily in the cells of the liver and muscles. | science |
The goal of proteomics is to identify or compare what substances expressed from a given genome under specific conditions, study the interactions between them, and use the information to predict cell behavior or develop drug targets? | [
"dna",
"proteins",
"cells",
"rna"
] | B | proteins | Basic Techniques in Protein Analysis The ultimate goal of proteomics is to identify or compare the proteins expressed from a given genome under specific conditions, study the interactions between the proteins, and use the information to predict cell behavior or develop drug targets. Just as the genome is analyzed using the basic technique of DNA sequencing, proteomics requires techniques for protein analysis. The basic technique for protein analysis, analogous to DNA sequencing, is mass spectrometry. Mass spectrometry is used to identify and determine the characteristics of a molecule. Advances in spectrometry have allowed researchers to analyze very small samples of protein. X-ray crystallography, for example, enables scientists to determine the three-dimensional structure of a protein crystal at atomic resolution. Another protein imaging technique, nuclear magnetic resonance (NMR), uses the magnetic properties of atoms to determine the three-dimensional structure of proteins in aqueous solution. Protein microarrays have also been used to study interactions between proteins. Large-scale adaptations of the basic two-hybrid screen (Figure 17.17) have provided the basis for protein microarrays. Computer software is used to analyze the vast amount of data generated for proteomic analysis. Genomic- and proteomic-scale analyses are part of systems biology. Systems biology is the study of whole biological systems (genomes and proteomes) based on interactions within the system. The European Bioinformatics Institute and the Human Proteome Organization (HUPO) are developing and establishing effective tools to sort through the enormous pile of systems biology data. Because proteins are the direct products of genes and reflect activity at the genomic level, it is natural to use proteomes to compare the protein profiles of different cells to identify proteins and genes involved in disease processes. Most pharmaceutical drug trials target proteins. Information obtained from proteomics is being used to identify novel drugs and understand their mechanisms of action. | science |
Seller selling an apple for Rs.16, a Seller loses 1/6th of what it costs him. The CP of the apple is? | [
"10",
"12",
"17",
"18"
] | C | 17 | SP=16Loss=CP17Loss=CP−SP=CP−16⇒CP17=CP−16⇒16 CP17=16⇒CP17=1⇒CP=17
C | aqua_rat |
A contractor is engaged for 30days on the condition that he receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.490 in all. For how many days was he absent? | [
"8",
"10",
"15",
"17"
] | A | 8 | 30 * 25 = 750
490
-----------
260
25 + 7.50 = 32.5
260/32.5 = 8
A | aqua_rat |
Nearly all protists exist in some type of aquatic environment, including freshwater and marine environments, damp soil, and even snow. several protist species are parasites that infect animals or plants. a few protist species live on dead organisms or their wastes, and contribute to what? | [
"greenhouse gas",
"spontaneous mutation",
"habitat loss",
"their decay"
] | D | their decay | Habitats Nearly all protists exist in some type of aquatic environment, including freshwater and marine environments, damp soil, and even snow. Several protist species are parasites that infect animals or plants. A few protist species live on dead organisms or their wastes, and contribute to their decay. | science |
In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned? | [
"3:16.",
"2:3.",
"5:3.",
"3:4."
] | C | 5:3. | 1st statement : ratio of pants
Store A : Store B
50x : 40x
5X:4X
Price :
4y:3y
Total revenue
20xy : 12xy
5:3
Answer is C | aqua_rat |
A boat goes 100 km downstream in 10 hours, and 90 km upstream in 15 hours. The speed of the stream is? | [
"5km/h",
"4km/h",
"2km/h",
"(1/2) km/h"
] | C | 2km/h | 100 --- 10 DS = 10
? ---- 1
90 ---- 15 US = 6
? ----- 1 S = (10 - 6)/2
= 2 kmph
ANSWER:C | aqua_rat |
A total of 525 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie. | [
"511",
"512",
"256",
"524"
] | D | 524 | There are 525 players, only 1 person wins, 524 players lose. in order to lose, you must have lost a game.
524 games.
Ans- D | aqua_rat |
.3+33+333+33.3=? | [
"362.33",
"399.6",
"702.33",
"702"
] | B | 399.6 | .3
33
333
33.3
----------
399.6
----------
Answer is B | aqua_rat |
A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability Q that all 3 jellybeans removed from the bag are blue? | [
"9/100",
"2/19",
"1/8",
"3/20"
] | B | 2/19 | Method-1
10 red jellybeans and 10 blue jellybeans
Total Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140
Favourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all Blue out of 10 Blue = 10C3 = 120
Probability = Favourable Outcomes / Total Outcomes = 10C3 / 20C3
Probability Q= 120 / 1140 = 2/19
Answer: option B
Method-2
Probability of First jelly bean to be Blue = 10/20 [Total 10 Blue out of total 20 jellybeans]
Probability of Second jelly bean to be Blue = 9/19 [Total 9 Blue remaining out of total 19 jellybeans remaining]
Probability of Third jelly bean to be Blue = 8/18 [Total 8 Blue remaining out of total 18 jellybeans remaining]
Required Probability = (10/20)*(9/19)*(8/18) = 2/19
Answer: option B | aqua_rat |
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 850 in 4 years. The
rate on interest per annum is. | [
"4.20%",
"50%",
"60%",
"6.25%"
] | D | 6.25% | Explanation:
S.I. on Rs 800 for 1 year = 50
Rate = (100*50)/(800*1) = 6.25%
Answer: D | aqua_rat |
Webbed feet are used to move faster through what? | [
"rain",
"winds",
"clouds",
"swamps"
] | D | swamps | science | |
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days? | [
"5/18",
"1/6",
"1/4",
"1/9"
] | A | 5/18 | A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 5 days = 5 (1/18) = 5/18.
ANSWER A | aqua_rat |
sunlight is a heat source emitted from | [
"a white dwarf star",
"our only yellow star",
"a nearby quasar star",
"a red giant star"
] | B | our only yellow star | science | |
A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets | [
"30%",
"50%",
"60%",
"80%"
] | B | 50% | Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B | aqua_rat |
Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 25% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m? | [
"A)(1/2)m",
"B)(1/9)m",
"C)(1/4)m",
"D)(1/5)m"
] | B | B)(1/9)m | let angela work for 8hrs and get 900 rs. (m =900)
According to question, linda works 25% more time and gets the same amount. so let linda work 10 hrs and get 900 rs.
so they do a total of 10 +8 =18 hrs of work and get 1800 rs together . The question basically asks to equalise their payment. so a total of 1800 rs is received by them and they do 18 hrs work together. average rate will be 1800/18 = 100 rs per hr. so linda should get 10*100 =1000 rs. But she got only 900. so angela should give 100 rs to linda. answer = 100/900 =1/9
answer B | aqua_rat |
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. abc is an even integer
III. a-b is positive integer | [
"I",
"II",
"I and II",
"II and III"
] | C | I and II | If a, b, c are consequitive positive integers and a<b<c, which of the following must be true?
1. c-a=2
2. abc is an even integer
3. (a+b+c) is an integer
1.
a=a
b=a+1
c=a+2
c-a=a+2-a=2.
Correct
2. abc
a can be either even or odd
if a=even; abc=even;
if a=odd,b=even; abc=even
Rule:
multiple of any number of integers if atleast once multiplied by an even number will result in even.
even*even=even
even*odd=even
Correct
3. a-b = 1-2 = -1 => negative
Answer : C | aqua_rat |
In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 54%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass? | [
"1",
"2",
"3",
"4"
] | C | 3 | The tests scores are 4k, 5k, 6k, 7k, and 8k.
The sum of the test scores is 30k.
The average test score is 30k/5 = 54. Then k = 9.
The test scores are 36, 45, 54, 63, and 72.
The student passed 3 subjects.
The answer is C. | aqua_rat |
Earthworms help form and add what to soil | [
"Sediment",
"organic material",
"Converting waste.",
"bacteria"
] | B | organic material | Earthworms are important deposit feeders that help form and add organic material to soil | qasc |
In 2008, the profits of Company M were 5 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008? | [
"80%",
"105%",
"124%",
"240%"
] | D | 240% | the profit 0f 2009 in terms of 2008 = 0.8*15/5*100=240%
D | aqua_rat |
How many 8 ′ s are there in the given sequence which are not immediately preceded by 09 and not immediately followed by 90?
9 0 8 0 9 0 9 8 9 0 8 9 0 8 0 9 8 9 0 9 8 0 9 8 9 0 8 9 0 | [
"3",
"1",
"2",
"More than 3"
] | A | 3 | the given logic is executed 3 times for 8's occuring at 2nd eight,5th eight and 7th eight in the sequence.
ANSWER:A | aqua_rat |
If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be? | [
"20% decrease",
"10% increase",
"10% decrease",
"15% increase"
] | A | 20% decrease | Let the original price be $100
New final price = 160% of (50% of $100)
= 160/100 * 50/100 *100 = $80
Decrease is 20%
Answer is A | aqua_rat |
Last year a certain bond price with a face value of 5000 yielded 7% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price? | [
"4063",
"5325",
"5385",
"6000"
] | C | 5385 | Interest = 0.07*5000 = 0.065*selling price --> selling price = 0.07*5000/0.065 --> selling price = ~5,385
Answer: C. | aqua_rat |
What type of stored chemical energy do plants create? | [
"Green beans",
"Organic compounds",
"Calories",
"Carbohydrates"
] | D | Carbohydrates | Conversion of eletromagnetic energy into carbohydrates creates a stored chemical energy | qasc |
What would be the compound interest on Rs.7700/- at 15 ¼% per year for 2 years compounded annually | [
"2527.57",
"2257.57",
"2572.57",
"2752.57"
] | A | 2527.57 | Principal = Rs. 7700/-
time = 2 years
rate = 15 ¼%
Amount = P(1+R/100)n
= 7700 × (1 + 61/(4 × 100)2)
= 7700 × [(1 + 61/400)2]
= 7700 × [(461/400)2)]
= 7700 × 461/400 × 461/400
= 7700 × 1.1525 × 1.1525
= 7700 × 1.32825625
= 10227.573125
C.I = 10227.573125 - 7700 = 2527.57/-
Answer is A. | aqua_rat |
A 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform? | [
"120",
"840",
"350",
"420"
] | D | 420 | Speed = [420 / 30] m/sec =14 m/sec.
Let the length of the platform be x meters.
Then, x + 420/ 60 = 14
x + 420 = 840 è x = 420m. Answer: D | aqua_rat |
Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 12 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip? | [
"37.5 kilometers per hour",
"48.4 kilometers per hour",
"50 kilometers per hour",
"75 kilometers per hour"
] | B | 48.4 kilometers per hour | Time taken to reach first 40 km is 40/60 = 2/3 hr
Time taken to reach next 40 km is 40/60 = 2/3 hr
Time taken to reach next 20 km is 20/60 = 1/3 hr
Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...
Each stop was of 12 min , so two 12min break = 2*1/5 => 2/5 hr
Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+2/5 ) = 31/15 hrs
So, Average speed is 100/(31/15) = 48.4km/hour
Answer will be B | aqua_rat |
in town of 500 people,285 read hindu and 212 read indian express and 127 read times of india 20 read hindu and times of india and 29 read hindu and indian express and 35 read times of india and indian express . 50 read no news paper . then how many read only one paper? | [
"320",
"321",
"421",
"417"
] | B | 321 | HIndu = 285
TOI = 127
IE = 212
now
Hindu and TOI both is = 20
TOI and IE both is = 35
Hindu and IE both is = 29
now suppose Hindu , TOI nd IE all is = x ;
so,only Hindu is = 285-20-29-x = 236-x ;
only TOI is = 127-20-35-x = 72-x ;
only IE is = 212-35-29-x = 148-x ;
now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500
so, x = 45 this is the value who read all the 3 dailies.
so,result is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321. ANSWER:B | aqua_rat |
Q. How many 9-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5, 6, 6, 7? | [
"180",
"140",
"210",
"270"
] | B | 140 | the number is less than 3000000 so we will have the digit on the left most side to be either 1 or 2
i.e your number can be 1 _ _ _ _ _ _ or 2 _ _ _ _ _ _
case 1 > 1 _ _ _ _ _ _ here the units digit can be either 2 or 6
when the units digit is 2 i.e 1 _ _ _ _ _ 2
number of ways this can be done would be 5! / 2! (as 5 is repeated twice) = 60
when the units digit is 6 i.e. 1 _ _ _ _ _ 6, number of ways would be 5!/(2! * 2!) {both 2 and 5 repeat twice} = 30
case 2 > 2 _ _ _ _ _ _ (here units digit may be 2 or 6)
number of ways this can be done would be 5! / (2!) for 2 =60
and 5! / 2! for 6 ... = 60
adding all of these ... gives the answer 140 ...
the explanation looks difficult but this technique helps if you are familiar with the concept of permutations when the numbers/alphabets repeat
B | aqua_rat |
A batsman scored 80 runs which included 2 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets? | [
"45%",
"500/11",
"75%",
"55%"
] | C | 75% | Explanation :
Number of runs made by running,
=>80−(2×4+2×6).
=>80−20
=>60
Hence, the required percentage is:-
=>60/80*100
=>75%
Answer : C | aqua_rat |
If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z). | [
"1118",
"1119",
"1121",
"1122"
] | D | 1122 | matrix
v 50 w
196 x y
269 z 123
in 1st row and 1st column
v+196+269=v+50+w
w=415
Again, in 2nd column and 3rd row
50+x+z=269+z+123
x=342
As sum of each row column and diagonal are same.
So, 269+342+415=1026
415+y+123=1026
y=488
269+z+123=1026
z=634
y+z=488+634=1122
ANSWER:D | aqua_rat |
A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1420. If a door and 2 windows occupy 8 sq. m, find the height of the room. | [
"4 m",
"4.5 m",
"5 m",
"5.5 m"
] | C | 5 m | Explanation:
Let breadth = x m, length = 3x m, height = H metres.
Area of the floor = (Total cost of carpeting)/(Rate/m2)=(270/5)m2=54m2.
x× (3x/2) = 54 =>x2 = (54×2/3) = 36 <=> x = 6.
So, breadth = 6 m and length =(3/2)×6 = 9 m.
Now, papered area = (1420/10)m2 = 142 m2.
Area of 1 door and 2 windows = 8 m2.
Total area of 4 walls = (142 + 8) m2 = 150 m2
2×(9+ 6)× H = 150 <=> H = 150/30 = 5 m.
Answer: Option C | aqua_rat |
When 40 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number? | [
"1 : 1",
"4 : 3",
"3 : 2",
"Data inadequate"
] | A | 1 : 1 | Let the first and the second numbers be x and y respect then
y + 40% of x = 140% of y
or, y + 0.4x = 1.4y
or, 0.4x = 0.4y
∴ x : y = 0.4 : 0.4 = 1 : 1
Answer A | aqua_rat |
What is the largest level of organization? | [
"genome",
"organelle",
"organism",
"protein"
] | C | organism | Levels of organization, from the atom (smallest) to the organism (largest). Notice that organelles are inside a cell, and organs are inside an organism. | science |
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. | [
"Rs.4000",
"Rs.1000",
"Rs.1250",
"Rs.2000"
] | D | Rs.2000 | Explanation:
P(11/10)4 - P(6/5)2 = 482
P = 2000
ANSWER IS D | aqua_rat |
9log9(6) = ? | [
"1",
"6",
"3",
"4"
] | B | 6 | Exponential and log functions are inverse of each other. Hence
aloga(x) = x , for all x real and positive.
and therefore
9log9(6) = 6
correct answer B | aqua_rat |
A prison of 10,000 inmates has enough food to feed them all for 50 days. After 10 days some of the inmates leave and the food is now enough for the same period of 50 days as before. How many of them left? | [
"3,000",
"2,200",
"2,000",
"1,000"
] | C | 2,000 | 10,000 --- 50
10,000 --- 40
x --- 50
x*50 = 10,000*40
x = 8,000
10,000
--------
2,000
Answer = C | aqua_rat |
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform? | [
"240 m",
"180 m",
"260 m",
"224 m"
] | B | 180 m | A
180 M
Speed = 54 x 5/18 = 15 m/s
Length of the bullet train = (15 x 24)m = 360 m.
Let the length of the platform be x metres.
Then, (x + 360)/36 = 15
--> x + 360 = 540
x = 180m. B | aqua_rat |
Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day? | [
"33",
"77",
"33",
"80"
] | D | 80 | We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 * 30 * 8)/ 200 = (45 * D2 * 6) / 300
D2 = (60 * 30 * 8 * 300) / (200 * 45 * 6) => D2 = 80.
Answer:D | aqua_rat |
A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1). | [
"260",
"440",
"556",
"792"
] | B | 440 | Run the numbers for houses. For the first 9 houses we need 9 signs.
For the next 90 we need 2 signs each or 180.
For the next 900 houses we need 3 signs each.
If we assume 300 homes, we will need 189 signs for the first 99 homes and then 603 signs for the 201 homes. So, we will use 792 signs for the first 300 homes and will have 420 signs remaining, which is enough for 42034203 or another 140 homes.
The total number of homes is 440
Answer: B | aqua_rat |
To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is? | [
"20%",
"30%",
"25%",
"15%"
] | B | 30% | Quantity of sugar = 40*3/100 = 1.2kg
New percentage = 1.2/4 * 100 = 30%
Answer is B | aqua_rat |
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 4 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement? | [
"0.5< t < 0.75",
"1.75< t < 2.0",
"1 < t < 2",
"2.5 < t < 3.0"
] | C | 1 < t < 2 | D=2, and R=1
circumference thus is 2pi miles
we know that she walked 4mph
knowing the formula rt=D, we can deduce that t= D/r
D is 2pi miles and r is 4mph
t = 2pi/4
pi can be rewritten as 22/7
2*22/7 = 44/7 and multiply this by 1/4 = 44/28. This is greater than 1, but less than 2, therefore, 1<t<2. Answer choice C. | aqua_rat |
A person bought 135 glass bowls at a rate of Rs. 15 per bowl. He sold 115 of them at Rs. 18 and the remaining broke. What is the percentage gain for A? | [
"40",
"30/11",
"20/9",
"27/11"
] | C | 20/9 | CP=135*15=2025 and SP=115*18=2070
Gain %= 100*(2070-2025)/2025= 20/9
ANSWER:C | aqua_rat |
The cost of an article is decreased by 20%. If the original cost is $40, find the decrease cost. | [
"33",
"32",
"68",
"36"
] | B | 32 | Original cost = $40
Decrease in it = 20% of $40
= 20/100 × 40
= 800/100
= $8
Therefore, decrease cost = $40 - $8 = $32
Answer:B | aqua_rat |
A set of numbers has the property that for any number t in the set,t+3 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4 | [
"I,III only",
"III only",
"II only",
"II,III only"
] | D | II,III only | question is asking for must be there elements.
According to the question if t is there t+3 must be there.
if -2 is the starting element the sequence is as follows.
S ={-2,1,4,7,10....}
if -2 is not the starting element the sequence is as follows
S = {...-5,-2,1,4,7,10...}
By observing the above two sequences we can say that 1,4 must be there in set S.
Answer : D | aqua_rat |
In how many different ways can the letters of the word ‘CAN’ be arranged? | [
"6",
"12",
"8",
"2"
] | A | 6 | A
6
The word SMART has 3 distinct letters.
Number of arrangements = 3!
= 3 × 2 × 1 = 6 | aqua_rat |
A florist has 2 azaleas, 4 buttercups, and 6 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet? | [
"1/2",
"2/3",
"7/11",
"17/33"
] | B | 2/3 | The probability that two of the same flowers were chosen:
P(AA) = 2/12 * 1/11 = 2/132
P(BB) = 4/12 * 3/11 = 12/132
P(PP) = 6/12 * 5/11 = 30/132
The sum of these probabilities is 1/3
P(two flowers are different) = 1 - 1/3 = 2/3
The answer is B. | aqua_rat |
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? | [
"2880.",
"4860.",
"5780",
"5760"
] | A | 2880. | Normal Day = 400 kw/h
Stormy Day = 400*1.2=480 kw/h
3 windmills for 2 hours on stormy day
480*3*2=2880
Answer: A | aqua_rat |
The mean of 50 observations is 100. But later he found that there is decrements of 13 from each observations. what is the the updated mean is ? | [
"87",
"97",
"67",
"57"
] | A | 87 | 87
Answer is A | aqua_rat |
A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train? | [
"767 kmph",
"55 kmph",
"54 kmph",
"33 kmph"
] | C | 54 kmph | D = 100 + 125 = 225
T = 15
S = 225/15 * 18/5 = 54 kmph
Answer: C | aqua_rat |
A rower can row upstream at 7 km/hr and downstream at 13 km/hr. What is the rower's rate in still water? | [
"8 km/hr",
"9 km/hr",
"10 km/hr",
"11 km/hr"
] | C | 10 km/hr | The rate in still water is 1/2 * (13 + 7) = 10 km/hr
The answer is C. | aqua_rat |
If the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3x + y is | [
"7",
"9",
"11",
"12"
] | C | 11 | LCM (x,y) = 10 and both x an y are prime.
The only values of x and y can be 2 and 5 (x = 2 and y = 5)
3x + y = 3*2 + 5 = 11
Correct Option: C | aqua_rat |
6 people meet for a ceremony. Each person shakes hands once with each other person present. How many handshakes take place? | [
"30",
"21",
"18",
"15"
] | D | 15 | Let's look at the logic.
Every person shakes hand with other '5'. So, 6 people shake hands with 6X5= 30 people
But in this 30 we have counted two times the total handshakes (s shakes hand with t and t shakes hand with s)
So just divide 30/2= 15 total handshakes
Answer is D | aqua_rat |
Which changes the environment? | [
"backyard vegetable garden",
"television signals",
"vacuuming carpet",
"taking a nap"
] | A | backyard vegetable garden | science | |
Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water , then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water? | [
"29 journeys",
"30",
"20",
"50"
] | A | 29 journeys | Explanation :
Here, Large, Medium and Small ships are denoted by the symbol L, M and S.
Now, according to the question,
4L = 7S. ------(i)
3M = 2L + S. ------(ii)
Using above equations, the ratios of the capacity of the Large, Medium and Small ships are :-
7: 6 : 4.
Let, the number of journeys required be x. Since, quantity of water remains the same, so :-
=((15×7+7×6+14×4)36) = x (12×7+14×6+21×4).
=>((15×7+7×6+14×4)36) / (12×7+14×6+21×4)= x
=>x=7308/252
=>x=29.
Answer : A | aqua_rat |
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together? | [
"3 (5/18) days",
"3 (7/11) days",
"3 (5/11) days",
"2 (5/11) days"
] | C | 3 (5/11) days | A can do 1/10 of the work in a day.
B can do 1/12 of the work in a 1 day.
Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60
They take 60/11 days to complete the work together.
Given that they already worked for 2 days.
The number of days required to complete remaining work => 60/11 - 2 = 38/11 = 3 (5/11) days.
Answer:C | aqua_rat |
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%? | [
"1500",
"1300",
"1200",
"1000"
] | D | 1000 | (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140
X = 1000
ANSWER D | aqua_rat |
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)? | [
"50",
"60",
"70",
"80"
] | C | 70 | 1/2 * d * (12 + 8) = 700
d = 70
The answer is C. | aqua_rat |
Substances found where are chemical elements that are essential for body processes? | [
"bottles",
"countertops",
"soil",
"pockets"
] | C | soil | substances found in soil are chemical elements that are essential for body processes | qasc |
If a is a positive integer, and if the units' digit of a^2 is 4 and the units' digit of (a + 1)^2 is 1, what is the units' digit of (a + 2)^2 ? | [
"0",
"2",
"4",
"6"
] | A | 0 | A for me.
_1² = _1
_2² = _4
_3² = _9
_4² = _6
_5² = _5
_6² = _6
_7² = _9
_8² = _4
_9² = _1
_0² = _0
On the list, the only number that squared has the units digit = 4 preceding a number that squared has the units digit = 1 is the _8.
So, a = _8, that has square 4. The next square is 1 andnext nextsquare is 0. | aqua_rat |
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours? | [
"10",
"15",
"20",
"25"
] | B | 15 | 45 workers * 8 hours / 30 meters = x * 6 / 30
x = 60 total workers
60 - 45 = 15 new workers
The answer is B. | aqua_rat |
When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8? | [
"0",
"1",
"2",
"3"
] | C | 2 | When n is divided by 8, the remainder is 3 may be written as
n = 8 k + 3
multiply all terms by 6
6 n = 6(8 k + 3) = 8(6k) + 18
Write 18 as 16 + 2 since 16 = 8 * 2.
= 8(6k) + 16 + 2
Factor 8 out.
= 8(6k + 2) + 2
The above indicates that if 6n is divided by 8, the remainder is 2. The answer is C. | aqua_rat |
When you put a cold sandwich in the microwave, it will | [
"stay the same",
"escalate in temperature",
"decrease in temperature",
"Die"
] | B | escalate in temperature | science | |
S = { 1,2,3,5,6,9}
T = { 4,5,6,7,1,3}
what is the probability that x chosen from S and y chosen from T will result x*y = even | [
"5/9",
"3/2",
"1/2",
"5/6"
] | A | 5/9 | p: the probability that x*y is even, then p=1-p(x*y is odd)
p(x*y odd)=p(x odd)*p(y odd)=4/6*4/6=16/36=4/9
And p=1-4/9=5/9
Option: A | aqua_rat |
In how many ways can eight different rings be worn on four fingers of one hand? | [
"10",
"12",
"70",
"60"
] | C | 70 | Required number of ways = ways of selecting 4 objects out of 8 given objects
= 8C4 = 8x 7x 6x 5 /24= 70
Answer C | aqua_rat |
8+2+2^2+2^3+2^4+2^5=？ | [
"(2^3-1)(2^3+2)",
"2^6+1",
"2^5-1",
"2^5+1"
] | A | (2^3-1)(2^3+2) | 8+2+2^2+2^3+2^4+2^5=64
(2^3-1)(2^3+2)=64
the correct answer is A. | aqua_rat |
The colloquial term "ribbon worm" refers to the mostly marine species of what phylum? | [
"nematoida",
"lophophorata",
"gnathifera",
"nemertea"
] | D | nemertea | Phylum Nemertea The Nemertea are colloquially known as ribbon worms. Most species of phylum Nemertea are marine, predominantly benthic or bottom dwellers, with an estimated 900 species known. However, nemertini have been recorded in freshwater and terrestrial habitats as well. Most nemerteans are carnivores, feeding on worms, clams, and crustaceans. Some species are scavengers, and some nemertini species, like Malacobdella grossa, have also evolved commensalistic relationships with some mollusks. Some species have devastated commercial fishing of clams and crabs. Nemerteans have almost no predators and two species are sold as fish bait. Morphology Ribbon worms vary in size from 1 cm to several meters. They show bilateral symmetry and remarkable contractile properties. Because of their contractility, they can change their morphological presentation in response to environmental cues. Animals in phylum Nemertea show a flattened morphology, that is, they are flat from front to back, like a flattened tube. Nemertea are soft and unsegmented animals (Figure 28.18). | science |
By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ? | [
"33",
"18",
"99",
"27"
] | B | 18 | Explanation:
Let S.P. of 45 lemons be Rs. x.
Then, 80 : 40 = 120 : x or x = = 60
For Rs.60, lemons sold = 45
For Rs.24, lemons sold == 18.
Answer: B | aqua_rat |
To create paint with a certain shade of gray, one must combine 2.116 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray? | [
"165.4",
"176.4",
"347.1",
"694.4"
] | A | 165.4 | Since the ratio of Black to White is 2.016 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.
Now between A and B:
Black:White = 2.116:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. B is more than half so can not be the answer, A fits the criteria hence should be the correct answer. No calculation needed whatsoever. | aqua_rat |
A envelop weight 8.2 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght? | [
"6.56kg",
"6.8kg",
"6.7kg",
"6.9kg"
] | A | 6.56kg | 800*8.2
6560.0gm
6.56kg
ANSWER:A | aqua_rat |
A is a working partner and B is a sleeping partner in the business. A puts in Rs.5000 and B Rs.1000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is? | [
"1978",
"2707",
"7728",
"8160"
] | D | 8160 | 5000:1000 => 5:1
9600*10/100 = 960
9600 - 960 = 8640
8640*5/6 = 7200 + 960
= 8160
Answer: D | aqua_rat |
Programmed cell death, which goes by what term, is important for removing damaged or unnecessary cells? | [
"mutations",
"apoptosis",
"mytosis",
"synthesis"
] | B | apoptosis | 9.3 Response to the Signal The initiation of a signaling pathway is a response to external stimuli. This response can take many different forms, including protein synthesis, a change in the cell’s metabolism, cell growth, or even cell death. Many pathways influence the cell by initiating gene expression, and the methods utilized are quite numerous. Some pathways activate enzymes that interact with DNA transcription factors. Others modify proteins and induce them to change their location in the cell. Depending on the status of the organism, cells can respond by storing energy as glycogen or fat, or making it available in the form of glucose. A signal transduction pathway allows muscle cells to respond to immediate requirements for energy in the form of glucose. Cell growth is almost always stimulated by external signals called growth factors. Uncontrolled cell growth leads to cancer, and mutations in the genes encoding protein components of signaling pathways are often found in tumor cells. Programmed cell death, or apoptosis, is important for removing damaged or unnecessary cells. The use of cellular signaling to organize the dismantling of a cell ensures that harmful molecules from the cytoplasm are not released into the spaces between cells, as they are in uncontrolled death, necrosis. Apoptosis also ensures the efficient recycling of the components of the dead cell. Termination of the cellular signaling cascade is very important so that the response to a signal is appropriate in both timing and intensity. Degradation of signaling molecules and dephosphorylation of phosphorylated intermediates of the pathway by phosphatases are two ways to terminate signals within the cell. | science |
The average age of 20 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is? | [
"79",
"86",
"95",
"72"
] | B | 86 | Age of the 15th student = 20*15 - (14*5+16*9) =300-214 = 86 years
Answer is B | aqua_rat |
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is? | [
"Rs. 1550",
"Rs. 1650",
"Rs. 1750",
"Rs. 2000"
] | C | Rs. 1750 | Explanation:
C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(3 * 8) = Rs. 1750
ANSWER IS C | aqua_rat |
John purchased 8kg of apples at the rate of 70 per kg and 9 kg of banana at the rate of 55 per kg. How much amount did he pay to the shopkeeper? | [
"950",
"1000",
"1055",
"1060"
] | C | 1055 | Cost of 8 kg apples= 70 × 8 = 560.
Cost of 9 kg of bananas= 55 × 9 = 490.
Total cost he has to pay = 560 + 490 = 1055.
C) | aqua_rat |
Currently apples cost 60 cents/pound. Due to a disease affecting the apple trees it is expected that next month apples will cost 200% more than they do currently. How much are apples expected to cost next month? | [
"200 cents /pound",
"150 cents /pound",
"160 cents /pound",
"180 cents /pound"
] | D | 180 cents /pound | If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p/100)(old cost).
In this case, (new cost) = 60 cents/pound + (200/100)(60 cents/pound)
= 60 cents/pound + 120 cents/pound
= 180 cents /pound
Answer : D | aqua_rat |
If the price of a certain computer increased 30 percent from y dollars to 351 dollars, then 2y = | [
"540",
"570",
"619",
"649"
] | A | 540 | Before Price increase Price = y
After 30% Price increase Price = y+(30/100)*y= 1.3y = 351 (Given)
i.e. y= 351/1.3 = $270
i.e. 2y = 2*270 = 540
Answer: option A | aqua_rat |
The average of 11 results is 45, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? | [
"A)46",
"B)111",
"C)66",
"D)76"
] | B | B)111 | 1 to 11 = 11 * 45 = 495
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 495= 111
Answer:B | aqua_rat |
What has a circulatory system with a two-chambered heart? | [
"sharks",
"insects",
"salmon",
"animals"
] | C | salmon | Salmon have a circulatory system with a two-chambered heart. | qasc |
In a 2000 m race, A beats B by 100 meters or 40 seconds. Find the speed of B? | [
"10m/s",
"2.5m/s",
"5m/s",
"7m/s"
] | B | 2.5m/s | Since A beats B by 100 m or 40 seconds,
it implies that B covers 100 m in 40 seconds.
Hence speed of B = 100/40 = 2.5 m/s.
Answer: B | aqua_rat |
In an election, candidate A got 60% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate. | [
"285600",
"340000",
"347000",
"356000"
] | A | 285600 | Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 60 %
Therefore, the number of valid votes polled in favour of candidate A = 60 % of 476000
= 60/100 × 476000
= 28560000/100
= 285600
A) | aqua_rat |
There were two candidates in an election. Winner candidate received 70% of votes and won the election by 280 votes. Find the number of votes casted to the winning candidate? | [
"228",
"744",
"490",
"199"
] | C | 490 | W = 70% L = 30%
70% - 30% = 40%
40% -------- 280
70% -------- ? => 280/40*70 = 490
Answer: C | aqua_rat |
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together? | [
"19 1/7 days",
"16 1/7 days",
"14 1/7 days",
"17 1/7 days"
] | D | 17 1/7 days | 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
ANSWER:D | aqua_rat |
What is a pure substance that cannot be separated into any other substances called? | [
"light",
"Cells",
"element",
"Spears"
] | C | element | An element is a pure substance that cannot be separated into any other substances. There are 92 naturally occurring elements. | science |
At what point during a chemical reaction is there no net change? | [
"ionization",
"bonding",
"equilibrium",
"formation"
] | C | equilibrium | Most chemical reactions reach equilibrium at which point there is no net change. | science |
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is: | [
"1520 m2",
"2420 m2",
"2480 m2",
"2520 m2"
] | D | 2520 m2 | Explanation:
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m2.
Answer: D | aqua_rat |
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers? | [
"1 : 3",
"2 : 3",
"2 : 1",
"3 : 5"
] | C | 2 : 1 | Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10
Required ratio = 20 : 10 = 2 : 1
C | aqua_rat |
If 5 men undertook a piece of construction work and finished half the job in 15 days. If two men drop out, then the job will be completed in | [
"5 days",
"15days",
"10 days",
"25days"
] | D | 25days | That is, half the work done = 5 * 15 * 1/2
Then, 5 * 15 *1/2 = 3 *? *1/2
i.e. 5 *15 = 3 *?
= 5 * 15/3 = 25 day
D | aqua_rat |
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