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Death begins for a leaf the second it | [
"is released",
"is eaten",
"is born",
"is burned"
] | A | is released | science |
|
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher | [
"49",
"88",
"25",
"18"
] | A | 49 | Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
Answer: A | aqua_rat |
3/5 of all married couples have more than one child. 1/4 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children? | [
"1/5",
"B.1/4",
"7/20",
"3/5"
] | C | 7/20 | Plug in simple numbers. Take 100 couples for example.
3/5 of 100 couples have more than one child = 60 couples.
1/4 of 100 couples have more than 3 kids = 25 couples.
This implies that 25 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 40 couples have either one or no kids at all.
We need to find couples that have 2 or 3 kids, so essentially, it is 60 - 25 = 35. Fraction will be 35/100 = 7/20.
Option C | aqua_rat |
Three workers have a productivity ratio of 1 to 3 to 5. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest? | [
"25 to 3",
"6 to 1",
"5 to 1",
"1 to 6"
] | A | 25 to 3 | The fastest worker who does 5 units of job worked for all 10 hours, so he did 5*10=50 units of job;
The slowest worker who does 1 unit of job worked for only 4+2=6 hours (first 4 hours and last 2 hours), so he did 1*6=6 units of job;
The ratio thus is 50 to 6, or 25 to 3.
Answer: A | aqua_rat |
What increases biodiversity? | [
"Reproduction",
"cross-pollination",
"By coral exoskeletons",
"gene flow"
] | B | cross-pollination | cross-pollination increases biodiversity | qasc |
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 2,00,000 as total savings, how much has he saved in Public Provident Fund ? | [
"Rs. 30,000",
"Rs. 50,000",
"Rs. 80,000",
"Rs. 90,000"
] | C | Rs. 80,000 | EXPLANATION
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (200000 – x) respectively. Then,
1/3x=1/2(200000-x)
=> x/3 + x/2 = 100000
=> 5x/6 = 100000
=> x= 100000 x 6 /5= 120000
Savings in Public Provident Fund = Rs. (200000 – 120000) = Rs. 80000
Answer C | aqua_rat |
Praveen starts business with Rs.3360 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? | [
"s.7500",
"s.8640",
"s.8500",
"s.9000"
] | B | s.8640 | Let Hari’s capital be Rs. x. Then, 3360 * 12/7x = 2/3
=> 14x = 120960
=> x = 8640.
ANSWER:B | aqua_rat |
The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is: | [
"12",
"16",
"36",
"48"
] | C | 36 | Let the numbers be 3x and 4x.
Then their H.C.F = x. So, x = 3.
So, the numbers are 9 and 12.
L.C.M of 9 and 12 = 36.
ANSWER:C | aqua_rat |
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.70 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? | [
"$255",
"$357",
"$510",
"$1,250"
] | B | $357 | Total no. Of boxes = 3060000/(20×20×15) = 510
Total cost = 510×$0.7=$357
Answer B | aqua_rat |
A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be: | [
"filled in 12 min",
"emptied in 12 min",
"filled in 8 min",
"will be empty in 8 min"
] | D | will be empty in 8 min | work done by both taps= 1/15+(-1/8)= -7/120 so tank will be emptied becoz of minus sign.
so time taken= 120/7
given the tank is already half filled
so another half will be emptied in 120/7*1/2
nearly 8 minutes
ANSWER:D | aqua_rat |
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 60 minutes. How long will it take to fill the cistern if all the three are opened at the same time? | [
"17 1/4 min",
"28 1/7 min",
"15 min",
"17 1/8 min"
] | C | 15 min | 1/20 + 1/30 - 1/60 = 4/60 = 1/15
15/1 = 15
Answer:C | aqua_rat |
A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: | [
"no profit, no loss",
"20% profit",
"less than 20% profit",
"more than 20% profit"
] | D | more than 20% profit | Let the article be worth Rs. x.
C.P. 90% of Rs. x = Rs. 9x/10
S.P. = 110% of Rs. x = Rs. 11x/10
Gain = (11x/10 - 9x/10) = Rs. x/5
Gain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%
ANSWER:D | aqua_rat |
The true discount on a bill due 9 months hence at 16% per annum is Rs. 180. The amount of the bill is | [
"1200",
"1764",
"1680",
"1354"
] | C | 1680 | Explanation:
Let P.W. be Rs.x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 180.
x × 16 × (9/12) × (1/100) = 180 or x = 1500.
P.W. = Rs. 1500.
Sum due = P.W. + T.D. = Rs.(1500
180) = Rs. 1680.
Answer: C | aqua_rat |
What giant planet is far away from and much less dense than earth? | [
"venus",
"mars",
"uranus",
"jupiter"
] | D | jupiter | Jupiter is truly a giant! The planet has 318 times the mass of Earth, and over 1,300 times Earth’s volume. So Jupiter is much less dense than Earth. Because Jupiter is so large, it reflects a lot of sunlight. When it is visible, it is the brightest object in the night sky besides the Moon and Venus. Jupiter is quite far from the Earth. The planet is more than five times as far from Earth as the Sun. It takes Jupiter about 12 Earth years to orbit once around the Sun. | science |
Two trains leaving from two station 50 miles away from each other with constant speed of 60 miles per hour, approaches towards each other on different tracks. if length of each train is 1/6 mile. when they meet How much time they need to pass each other totally ? | [
"277",
"87",
"27",
"10"
] | D | 10 | Explanation:
The trains are coming towards each other so their relative speed is 60 + 60 = 120 mph
In this case the distance would be addition of lengths of trains.i.e 1/6 + 1/6 = 1/3 m
T = dsds = 1/3 1/120 3/120 = 1/1360 h
Answer: D | aqua_rat |
If x is equal to the sum of the integers from 50 to 70, inclusive, and y is the number of even integers from 50 to 70, inclusive, what is the value of x + y? | [
"1211",
"1231",
"1251",
"1271"
] | D | 1271 | x = 50 + 51 +...+ 70 = 21(60) = 1260
y = 11
x+y = 1271
The answer is D. | aqua_rat |
A tourist purchased a total of $1,600 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost? | [
"$1,430",
"$1,370",
"$1,290",
"$1,270"
] | B | $1,370 | since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks
Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3
using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost
Therfore 1600 - 230 = 1370 hence answer is B | aqua_rat |
T divided by S equals 405.24 what is a possible remainder? | [
"54",
"2",
"9",
"40"
] | A | 54 | With the decimal being 24/100, the simplest form is 6/25. If the divisor is a multiple of 25, the remainder must be a multiple of 6. The only number that is so is 54. Answer A. | aqua_rat |
30 men can do a work in 40 days. When should 15 men leave the work so that the entire work is completed in 40 days after they leave the work? | [
"87 days",
"10 days",
"15 days",
"44 days"
] | C | 15 days | Total work to be done = 30 * 40 = 1200
Let 15 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.
40P + (15 * 40) = 1200
40P = 600 => P = 15 days
Answer:C | aqua_rat |
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is? | [
"76",
"55",
"14",
"33"
] | C | 14 | Part filled in 2 hours = 2/6 = 1/3.
Remaining part = 1 - 1/3 = 2/3
(A + B)'s 1 hour work = 2/21
C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]
= (1/6 - 2/21) = 1/14
C alone can fill the tank in 14 hours.Answer:C | aqua_rat |
From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly one person in the crew has previous experience in space flight. How many different crews of this type are possible? | [
"432",
"94",
"864",
"1330"
] | A | 432 | COMB(ENN) where E=experienced and N=no previous experience
12*9*8/(2!). We divide by 2! because there are 2! ways to choose the astronauts without previous experience.
=12*9*4 = 48*9
Because 48*9 ends with a 2, look for the answer that ends with a 2. Only A suffices. | aqua_rat |
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work? | [
"12",
"10",
"15",
"8"
] | C | 15 | Option C
Explanation:
One days's work of A, B and C = 1/90 + 1/30 + 1/45
= (1 + 3 + 2)/90 = 1/15
A, B and C together can do the work in 15 days. | aqua_rat |
A library has an average of 1000 visitors on Sundays and 700 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is : | [
"740",
"750",
"760",
"770"
] | B | 750 | Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (1000 * 5 + 700 * 25) / 30 = 22500/30 = 750
Answer: B) 750 | aqua_rat |
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33? | [
"3",
"27",
"30",
"21"
] | C | 30 | Explanatory Answer
Useful result pertaining to remainders
You can solve this problem if you know this rule about remainders.
Let a number x divide the product of A and B.
The remainder will be the product of the remainders when x divides A and when x divides B.
Using this rule,
The remainder when 33 divides 1044 is 21.
The remainder when 33 divides 1047 is 24.
The remainder when 33 divides 1050 is 27.
The remainder when 33 divides 1053 is 30.
∴ the remainder when 33 divides 1044 * 1047 * 1050 * 1053 is 21 * 24 * 27 * 30.
Note: The remainder when a number is divided by a divisor 'd' will take values from 0 to (d - 1). It cannot be equal to or more than 'd'.
The value of 21 * 24 * 27 * 30 is more than 33.
When the value of the remainder is more than the divisor, final remainder will be the remainder of dividing the product by the divisor.
i.e., the final remainder is the remainder when 33 divides 21 * 24 * 27 * 30.
When 33 divides 21 * 24 * 27 * 30, the remainder is 30.
Choice C | aqua_rat |
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit? | [
"Rs.2589",
"Rs.2380",
"Rs.8868",
"Rs.2477"
] | B | Rs.2380 | Kamal : Sameer = (9000 * 12) : (8000 * 7)
= 108:56 = 27:14
Sameer's share = 6970 * 14/41 = Rs. 2380.
Answer:B | aqua_rat |
a decline in the number of predators often leads to | [
"a rise in the number of prey",
"an increase in breeding between predators",
"a decline in the number of prey",
"a decrease in breeding between prey"
] | A | a rise in the number of prey | science |
|
There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b/w the towers at the same time. At what distance from the church is the grain? | [
"170 meters",
"160 meters",
"150 meters",
"140 meters"
] | C | 150 meters | If x ft is the distance of grain from 200 ft tall tower, then
150^2 +(350-x)^2= 200^2 + x^2
then
x= 150 meters
ANSWER:C | aqua_rat |
Find the value of 4 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] | [
"800",
"3200",
"900",
"1600"
] | B | 3200 | Answer
4 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 4 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 4 x 4 x 4 x 50 = 3200
Correct Option: B | aqua_rat |
In a room are five chairs to accommodate 3 people. One person to a chair. How many seating arrangements are possible? | [
"45",
"60",
"72",
"90"
] | B | 60 | The first person has 5 options i.e. 5 chairs to choose from
The second person has 4 options i.e. 4 chairs to choose from (first one has already taken a chair)
The third person has 3 options i.e. 3 chairs to choose from (two chairs are already gone)
Total seating arrangements 5*4*3 = 60
ANS:B | aqua_rat |
Two trains of equal are running on parallel lines in the same direction at 48 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? | [
"60 m",
"72 m",
"80 m",
"82 m"
] | A | 60 m | Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 48 - 36 = 12 km/hr.
= 12 * 5/18 = 10/3 m/sec.
2x/36 = 10/3=> x = 60.
ANSWER:A | aqua_rat |
A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train. | [
"36kmph",
"42kmph",
"48kmph",
"52kmph"
] | A | 36kmph | In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train
In 30 sec the train travels a distance of 300 mtrs
Speed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph
Answer: A | aqua_rat |
On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 220 points, how many points did Bill receive? | [
"30",
"40",
"50",
"60"
] | D | 60 | consider john's points as x
so bill's points are x +20
So sue's points are 2x +40
total of all three students is 4x +60, but this total is given as 220
x = 40
so bill's points = 40 +20 = 60
correct answer option D | aqua_rat |
If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y | [
"8",
"2",
"6",
"4"
] | D | 4 | 2(l+b)=x;
2(l+y+b+y)=x+16;
2(l+b)+4y=x+16;
x+4y=x+16;
y=4
ANSWER:D | aqua_rat |
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point? | [
"26 min 18 sec",
"42 min 36 sec",
"45 min",
"46 min 12 sec"
] | D | 46 min 12 sec | L.C.M of 252, 308 and 198 = 2772
So, A, B and C will again meet at the starting point in 2772 sec, i.e., 46 min 12 sec.
ANSWER:D | aqua_rat |
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48? | [
"12",
"18",
"24",
"30"
] | A | 12 | The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
48=2*3*8 is divisible by 12. therefore the greatest common divisor is 12
A | aqua_rat |
a what with feathers evolved from theropods? | [
"alpacas",
"long tail",
"plant",
"animal"
] | D | animal | an animal with feathers can evolve from theropods. | qasc |
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 7x boxes? | [
"3 minutes",
"4 minutes",
"5 minutes",
"14 minutes"
] | D | 14 minutes | Rate = Work / Time
Given Rate of Machine A = X / 10 min
Machine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .
Rate of Machine B = 4x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = X / 10 min + Rate of Machine B = 4x / 10 = 5X/10
Now combine Time = combine work needs to be done / Combine Rate = 7x/5x * 10 = 14 Min
Ans: D | aqua_rat |
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%? | [
"128",
"144",
"176",
"186"
] | B | 144 | Explanation:
Given that SP = Rs. 102 and loss = 15%
CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6 = Rs. 120.
To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144
Answer:B | aqua_rat |
A person traveled from P to Q at a speed of 40km/hr and return by increasing his speed by 50km/hr. What is his average speed for both the trips? | [
"30km/hr",
"50km/hr",
"55km/hr",
"48km/hr"
] | D | 48km/hr | Speed on return trip = 150% of 40 = 60kmph
Average = 2*40*60/(40+60) = 4800/100 = 48km/hr
Answer is D | aqua_rat |
Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day? | [
"$33.75",
"$47.25",
"$60.75",
"$54.00"
] | C | $60.75 | Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*4.5+ 3*4.5*2.0=60.75
Answer C | aqua_rat |
The Appalachians reach amazing heights because of how stone | [
"blew up",
"piles together",
"melted lava",
"created anchors"
] | B | piles together | science |
|
Simplify (3^y + 3^y + 3^y) (3^y + 3^y + 3^y) | [
"4^4y * 3^3y",
"9^y+1",
"16^y + 9^y",
"12^y"
] | B | 9^y+1 | B
(3^y + 3^y + 3^y) (3^y + 3^y + 3^y)
(3*3^y)(3*3^y)
9*9^y=9^(y+1).. | aqua_rat |
By selling a pen for Rs.15, a man loses one sixteenth of what it costs him.The cost price of the pen is | [
"Rs.16",
"Rs.18",
"Rs.20",
"Rs.21"
] | A | Rs.16 | Solution
Let the C.P be Rs.x.Then,
x-15=x/16 ‹=›x-x/16 = 15
15x/16=15
x = 16.
Therefore, C.P= Rs.16.
Answer A | aqua_rat |
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations. | [
"210 km",
"240 km",
"220km",
"180km"
] | A | 210 km | In first 3 hours T1 travels R km and T2 travels S km.
After 6 hours they traveled R+S+70+ 700
2(R+S ) = R+S +140
R+S = 140
Hence distance between XY is R+S+ 70 = 140 +70 =210
Answer : A | aqua_rat |
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? | [
"2.86",
"2.88",
"2.80",
"2.87"
] | B | 2.88 | M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B | aqua_rat |
What number should replace the question mark? 5, 24, 11, 20, 17, 16, ---? | [
"20",
"23",
"22",
"21"
] | B | 23 | Answer: B
5, 24, 11, 20, 17, 16, 23?
There are two alternate sequences: +6 and -4. | aqua_rat |
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5? | [
"T=1.",
"T=2.",
"3.",
"4."
] | B | T=2. | X divided by 10 gives reminder of 2. X can be 2/12/22....
X+Y divided by 5 is 4. X + Y can be 4/ 9/ 19....
If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2
Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2
Hence the answer must be 2 (B)
Also....
x+y=5m+4 and x=10K+2
hence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is B | aqua_rat |
Average of prime numbers ranging 1 to 50 is? | [
"23",
"22.86",
"21.86",
"21"
] | C | 21.86 | Explanation:
Average = (2+3+5+7+11+13+17+19+23+29+31+37+41+43+47)/15 = 328/15= 21.8666
Answer is C | aqua_rat |
In store A there are 10 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.",
"1:3.",
"3:4."
] | C | 1:3. | Amount for Store a = 10 * 4 = 40
Amount for Store b = 40 * 3 = 120
Ratio of Total Amount Would be = 40/120 = 1:3
ANSWER:C | aqua_rat |
Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100 | [
"1200",
"1300",
"1400",
"1500"
] | B | 1300 | Explanation :
Consider number of 5's only.
(5+10+15+20+50+30+35+40+45+100+55+60+65+70+75+150+80+85+90+95+200)
=1300
Answer : B | aqua_rat |
If the charge of staying in a student youth hostel $18.00/day for the first week, and $15.00/day for each additional week, How much does it cost to stay for 23 days? | [
"$336",
"$289",
"$282",
"$274"
] | A | $336 | Total number of days of stay = 23
Charge of staying in first week = 18*7 = 126 $
Charge of staying for additional days =(23-7)*15 = 16*15 = 240 $
Total charge =126 +240 = 366$
Answer A | aqua_rat |
A military garrison in a wild frontier has 600 men who have provisions to last 22 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last? | [
"13 1/3",
"12 1/3",
"10 2/3",
"12 1/2"
] | C | 10 2/3 | Total provisions=600*22*7=92400
Provisions used for in 6 weeks=6*7*600=25200
remaining provisions=67200
remaining provisions need to be split between 900(600+300) people.
Number of provisions per person= 67200/900
we need to find the answer in terms of weeks=(67200/900)/7=10 2/3
Answer:C | aqua_rat |
If Rs.10 be allowed as true discount on a bill of Rs.110 due at the end of a certain time,then the discount allowed on the same sum due at the end of double the time is : | [
"Rs. 20",
"Rs. 21.81",
"Rs. 22",
"Rs. 18.33"
] | D | Rs. 18.33 | Solution
S.I. on Rs.(110 -10) for a certain time =Rs.10.
S.I. on Rs. 100 for double the time =Rs. 20.
T.D. on Rs. 120 =Rs.(120 -100)=Rs. 20.
T.D. on Rs. 110 =Rs.left ( 20/120x120 ) =Rs.18.33.
Answer D | aqua_rat |
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Y that it is an ace? | [
"1/52",
"1/26",
"1/13",
"1/4"
] | C | 1/13 | The question should ask about the probability not the odds.
There are 13 spades, the probability Y that the spade we already have is an ace is therefore 1/13.
Answer: C. | aqua_rat |
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 80 minutes later? | [
"2(10^5)",
"8(10^5)",
"(2^8)(10^5)",
"(10^8)(10^5)"
] | C | (2^8)(10^5) | Every 10 minutes, the population is double the previous population.
In 80 minutes, the population doubles 8 times.
The population then is 2^8*10^5.
The answer is C. | aqua_rat |
A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations? | [
"$27,500",
"$35,000",
"$37,500",
"$40,000"
] | D | $40,000 | let x be the average of 40 customers
40*x + 10* 65000 = 50*45000
solving this we have x= 40000
Answer is D. | aqua_rat |
Fossils themselves and the order in which they appear in are generally collectively called what? | [
"fossil record",
"coal record",
"fuel cycle",
"fossil magnitude"
] | A | fossil record | There are many layers of rock in the Earth's surface. Newer layers form on top of the older layers; the deepest rock layers are the oldest. Therefore, you can tell how old a fossil is by observing in which layer of rock it was found. The fossils and the order in which fossils appear is called the fossil record . The fossil record provides evidence for when organisms lived on Earth, how species evolved, and how some species have gone extinct. Geologists use a method called radiometric dating to determine the exact age of rocks and fossils in each layer of rock. This technique, which is possible because radioactive materials decay at a known rate, measures how much of the radioactive materials in each rock layer have broken down ( Figure below ). | science |
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100? | [
"25",
"15",
"65",
"82"
] | A | 25 | Explanation:
A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 - 75) = 25 points to C.
ANSWER A | aqua_rat |
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? | [
"25300",
"22000",
"21000",
"23560"
] | A | 25300 | sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.
To get 1% : 18700/85=220; Then 220 is 1%.
To get 100% : 220*100=22000.
To get 115% : 220*115=25300.
ANSWER :A | aqua_rat |
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre | [
"22488",
"16500",
"27889",
"23778"
] | B | 16500 | Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Answer: B) Rs.16500 | aqua_rat |
The stoichiometric coefficients indicate the relative amounts of what? | [
"trajectories and products",
"reactants and products",
"reactions and products",
"exigencies and products"
] | B | reactants and products | stoichiometric coefficient : The letters a, b, c, and d where A and B are reactants, and C and D are products. The stoichiometric coefficients indicate the relative amounts of reactants and products. | science |
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months? | [
"3587.58",
"3587.52",
"3587.5",
"3587.51"
] | C | 3587.5 | I = (8200 * 2.5 * 17.5)/100
= (8200 * 5 * 35)/(100 * 2 * 2)
= Rs. 3587.50
Answer: C | aqua_rat |
A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine? | [
"a - 4500",
"b - 9000",
"c - 13,500",
"d - 15,500"
] | C | c - 13,500 | Correct answer is C - 13500.
Total profit per weekday = $600 X 3 (shifts)= $1800
Total profit per week (apart from SaturdaySunday) = $1800 X 5 = $9000
Total profit per shift on weekends = $600 X 125/100 = $750
Total profit on weekends = $750 X 3 (shifts) X 2 (Saturday, Sunday) = $4500.
Hence the answer is - $4500 + $9000 = $13,500. (C) | aqua_rat |
The dust bowl happened because of | [
"two football teams",
"bowling pins",
"sweeping reform",
"unsustainable farming practice"
] | D | unsustainable farming practice | science |
|
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream? | [
"10 kmph",
"15 kmph",
"19 kmph",
"17 kmph"
] | B | 15 kmph | Speed of the boat in still water
= (100+130)/2
= 115 kmph. Speed of the stream
= (130-100)/2
=15 kmph.
Answer: B | aqua_rat |
In a sample of associates at a law firm, 25 percent are second-year associates, and 75 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years? | [
"0",
"25",
"50",
"75"
] | C | 50 | 75 percent are not first-year associates --> This means 75 percent associates are either two or more than two years
Already, we know % of second-year associates = 25 %
So, % of associates there for more than two years = 75 % - 25 % = 50 % .. => (C).. Is it correct ? | aqua_rat |
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount? | [
"20%",
"40%",
"50%",
"60%"
] | C | 50% | Soln:-
original SP = X
Cost =C
current selling price = .8x ( 20% discount)
.8x = 1.2C (20% profit)
x= 1.2/.8 *C
x= 3/2 C
Original selling price is 1.5C which is 50% profit
ANSWER:C | aqua_rat |
Which animal produces more eggs | [
"African Driver Ant",
"Humans",
"Monkeys",
"Goats"
] | A | African Driver Ant | science |
|
what is ozone made of? | [
"oxygen",
"gas",
"dangerous",
"Energy"
] | A | oxygen | ozone is made of oxygen | qasc |
The average age of a husband, wife and their child 2 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is? | [
"19.2 years",
"28.5 years",
"16.4 years",
"15.6 years"
] | B | 28.5 years | Sum of the present ages of husband, wife and child
= (23 * 2 + 5 * 2) = 57 years.
Required average
= 57/2
= 28.5 years.
Answer:B | aqua_rat |
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 9 hours and 16 hours after they passed each other the ratio of the speeds of the two trains was | [
"2:1",
"3:2",
"4:3",
"5:4"
] | C | 4:3 | Explanation:
Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)
Therefore, Ratio of the speeds of two trains = = 4 : 3. Answer: C | aqua_rat |
A number of 47 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes? | [
"10",
"12",
"15",
"16"
] | C | 15 | To maximize # of boxes we should minimize marbles per box: 14*3+1*5=47 --> 14+1=15.
Answer: C. | aqua_rat |
Which of the following fractions T, if written as a decimal, would have a 2 in the thousandths place ? | [
"3/11",
"7/9",
"1/8",
"4/7"
] | A | 3/11 | (A) T=3/11 = 0.2727272727....
Answer: A | aqua_rat |
3, 4, 6, 10, 18, (...) | [
"22",
"34",
"27",
"32"
] | B | 34 | Explanation :
3
3 × 2 - 2 = 4
4× 2 - 2 = 6
6× 2 - 2 = 10
10 × 2 - 2 = 18
18 × 2 - 2 = 34
Answer : Option B | aqua_rat |
Find all rational zeros of P(x) = x3*cubic* - 7x + 6. | [
"1,2,-3",
"2,2,-5",
"1,4,-7",
"4,3,-1"
] | A | 1,2,-3 | P(x) = x3*cubic* - 7x + 6 : given
leading coefficient 1 and its factors are : +1,-1
constant term is 6 and its factors are : +1,-1,+2,-2,+3,-3,+6,-6
possible rational zeros : +1,-1,+2,-2,+3,-3,+6,-6
test : P(1) = 0, P(2) = 0 and P(-3) = 0
x = 1, x = 2 and x = -3 are the zeros of P(x).
correct answer is A) 1,2,-3 | aqua_rat |
The angle between the minute hand and the hour hand of a clock when the time is 8:30 | [
"80 deg",
"40 deg",
"35 deg",
"75 deg"
] | D | 75 deg | angle traced hr hand 17/2 hrs = 300/12 * 17/2 = 255
angle by min 30 min (360/60*30)=180
req = 255-180 = 75
ANSWER D | aqua_rat |
A three-person committee must be chosen from a group of 10 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee? | [
"A)70",
"B)1020",
"C)630",
"D)1,260"
] | B | B)1020 | Total number of ways to select at least one professor = Number of ways to select 3 people from 10 students and 10 professors - Number of ways to select 3 people from 10 student (i.e. without including any professor)
= 20C3 - 10C3 = 1140 - 120 = 1020
ANSWER:B | aqua_rat |
If an object travels 80 feet in 4 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet) | [
"7.25",
"9.47",
"11.58",
"13.64"
] | D | 13.64 | 80 feet/4 seconds = 20 feet/second
(20 feet/second)*(3600 seconds/hour)*(1 mile/5280 feet) = 13.64 miles/hour (approximately)
The answer is D. | aqua_rat |
The length of a bridge in meters, which a train 110-meters long and traveling at 45 km/hr can cross in 30 seconds is? | [
"245",
"265",
"295",
"325"
] | B | 265 | 45 km/h = 45000 m/3600 s = 12.5 m/s
In 30 seconds, the train can go 30(12.5) = 375 meters
Let x be the length of the bridge.
x+110 = 375 meters
x = 265 meters
The answer is B. | aqua_rat |
How many numbers between 0 and 1370 have a prime tens digit and a prime units digit? | [
"204",
"212",
"220",
"228"
] | C | 220 | From 1-9 there are 4 prime numbers {2, 3, 5, 7}. The 10s and 1s of the number must be made with these numbers. The total number of combinations is 4*4 = 16. Thus every set of 100 consecutive positive integers has 16 such numbers.
From 0 to 1300, there 16*13 = 208 such numbers.
From 1301 to 1370, the 10s units can only use 3 numbers {2, 3, 5}. 3*4 =12.
The total number is then 208+12 = 220
The answer is C. | aqua_rat |
A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train? | [
"36 km/hr",
"64 km/hr",
"84 km/hr",
"91 km/hr"
] | C | 84 km/hr | total distance cover by train in 15sec=150+200m
speed=distance/time
speed=350/15(m/s)
speed in km/hr=350/15*18/5=84km/hr
ANSWER:C | aqua_rat |
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? | [
"188",
"166",
"245",
"777"
] | C | 245 | Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: C | aqua_rat |
Mr. JACK invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 33% and Fund Y paid 15%. The interest earned in Fund Y was exactly $500 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X? | [
"31,041.66",
"45,041.66",
"37,041.78",
"78,041.90"
] | A | 31,041.66 | X+Y=100,000
0.15Y=0.33A+500
Take away decimals first: 15Y+33X+50,000
Isolate first equation to solve for X (your goal): Y=100,000-Y
Plug in for B:
15(100,000-X)=33X+30,000
1,500,000-15X=33X+10,000
1,490,000=48X
1,490,000/48=X
X=31,041.66=Answer Choice A | aqua_rat |
A library has 360 math books; 60 Calculus books, 120 Geometry books, and 180 Algebra books. What percentage of books are Geometry books ? | [
"33.3 %",
"16.7 %",
"66.7 %",
"77 %"
] | A | 33.3 % | Explanation :
Geometry Book percentage = (120/360 x 100)%
= 33.3 %
Answer : A | aqua_rat |
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is | [
"285",
"337",
"878",
"227"
] | A | 285 | Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.
Answer: A | aqua_rat |
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score
did he make by running between the wickets | [
"40%",
"50%",
"60%",
"70%"
] | B | 50% | Explanation:
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 %
Answer: Option B | aqua_rat |
A 2000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely? | [
"8",
"12",
"18",
"24"
] | B | 12 | In: we have: 1,000/2min = 500 litres per minute
Out: we have: 1,000/4 + 1,000/6
Then do: IN - OUT to figure out the net inflow per minute (you get 83.3). Then divide the total number of litres you need (1,000 by that net inflow to get the minutes) - 12 min. Answer B. | aqua_rat |
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: | [
"2477",
"387",
"698",
"377"
] | C | 698 | Explanation:
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698
Answer: C) 698 | aqua_rat |
When liquids are heated above a point, a liquid is converted to what? | [
"hot",
"acid",
"gas",
"water"
] | C | gas | Converting a liquid to a gas happens when liquids are heated above a point. | qasc |
If x and y are positive integers and 9 + x + y + xy = 23, what is the value of x + y? | [
"3",
"5",
"6",
"8"
] | C | 6 | Try each answer choices.
For A: 9 + 3 + xy = 23; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)
For B: 9 + 5 + xy = 23; xy = 9 (no combination of xy = 9 and x + y = 5)
For C: 9 + 6 + xy = 23; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)
For D: 9 + 8 + xy = 23; xy = 6 (no combination of xy = 6 and x + y = 8)
For E: 9 + 9 + xy = 23; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)
Therefore, answer C. | aqua_rat |
If k is the sum of the digits of integer m, and m=10n, where n is an integer, which of the following must be true? | [
"k is not divisible by 9",
"The sum of the digits of k is divisible by 3",
"m is a multiple of 10k",
"k is a multiple of 9"
] | C | m is a multiple of 10k | m= 10n i.e n =1,2,3 ,4 etc or -1,-2.-3 ,-4 then m =10,20,30,40 or -10 ,-20 ,-30 ,-40 then k 1,2, 3,4 or -(1+0) , -(2+0) , -(3+0) ,-(4+0) .
ans(C) | aqua_rat |
In a certain city, 50% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A? | [
"a) 50%",
"b) 53%",
"c) 54%",
"d) 55%"
] | C | c) 54% | Let total voters = 100
so D= 50, vote for the mayor 60*75%=45 (60*3/4)
R= 40, vote for the mayor 40*20%= (40*1/5)
46+8=54
54/100*100=54%
C | aqua_rat |
If {p} denote the remainder when 3p is divided by 2 then which of the following is equal to 1 for all positive integers p?
I. {2p+1}
II. {2p}+1
III. 2{p+1} | [
"I only",
"II only",
"I and II",
"III only"
] | C | I and II | C - I and II
3p/2 = 0 or 1
I just substituted 1 in the equations and solved. | aqua_rat |
If a fish lives in water that is very dark, the fish may calibrate its body over time to | [
"absorb helium",
"turn invisible",
"eat more",
"be blind"
] | D | be blind | science |
|
If s and t are positive integers such that s/t = 64.15, which of the following could be the remainder when s is divided by t? | [
"14",
"16",
"18",
"20"
] | C | 18 | 0.15 = 3/20
The remainder must be divisible by 3.
The answer is C. | aqua_rat |
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business? | [
"2400",
"2408",
"2777",
"29087"
] | A | 2400 | 1200 * 12: x * 9 = 2:3
x = 2400
Answer: a | aqua_rat |
What organism carries out only fermentation or anaerobic respiration? | [
"aldehydes",
"metabolites",
"obligate anaerobes",
"aerobicc enzymes"
] | C | obligate anaerobes | science |
|
What are vascular plants that produce seeds in cones? | [
"evergreens",
"it needs them",
"Leptospirosis",
"epidermal"
] | A | evergreens | evergreens are vascular plants that produce seeds in cones | qasc |
What is the rate percent when the simple interest on Rs.600 amount to Rs.160 in 4 Years? | [
"6.66%",
"7.66%",
"6.06%",
"6.16%"
] | A | 6.66% | 160 = (600*4*R)/100
R = 6.66%
ANSWER:A | aqua_rat |
In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is: | [
"5 km/h",
"8 km/h",
"10 km/h",
"15 km/h"
] | C | 10 km/h | Let A's speed be X km/hr.
Then, 60/x - 60/2x = 2
6x = 60
x = 10 km/hr.
Answer : C | aqua_rat |
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