RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
A.6 hours
B.20/3hours
C.7 hours
D.15/2hours
Answer: C.7 hours
Explanation: Taking the lcm(12,15,20) = 60 liters (capacity of the tank)
In 1 hr : A can fill 5 liters(60/12), B = 4 liters C = 3 liters
Its given that A is open all time and B & C alternately.
So in 1st hr : A+B = 9 liters
2nd hr : A+C = 8 liters
3rd hr : A+B = 9 liters
4th hr : A+C = 8 liters
5th hr : A+B = 9 liters
6th hr : A+C = 8 liters
7th hr : A+B = 9 liters
Total = 60 liters
ANSWER:C
Question: In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?
A.a) 48
B.b) 67.5
C.c) 72
D.d) 77.5
Answer: B.b) 67.5
Explanation: Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.
Here, we're told two things about a group of numbers:
1) The average of the group is 50
2) The standard deviation of the group is 10
If you go 1 SDupfrom the average, you hit.....50+10 = 60
If you go 1 SDdownfrom the average, you hit.....50-10 = 40
If you go 2 SDsupfrom the average, you hit.....50+2(10) = 70
If you go 2 SDsdownfrom the average, you hit.....50-2(10) = 30
Etc.
Here, we're asked for the number that is EXACTLY 1.75 SDs above the mean....
1.75 SDsupwould be.....50 + 1.75(10) = 67.5
B
Question: If the sum of the interior angles of a regular polygon measures up to 1620 degrees, then how many sides does the polygon have?
A.10
B.16
C.12
D.11
Answer: D.11
Explanation: one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=1620
180n - 360 = 1620
180n = 1980
n = 1980/180 = 11
ANSWER:D
Question: What is the perimeter of a square with area 9p^2/4 ?
A.3p/4
B.3p^2/4
C.6p
D.3p^2
Answer: C.6p
Explanation: Area of square, (side)^2 = (3p/2)^2
Therefore side of the square = 3p/2
Perimeter of square = 4*side = 4* (3p/2) = 6p
Answer is C.
Question: If 18,888 – n is divisible by 11, and 0 < n < 11, what is n?
A.1
B.3
C.5
D.7
Answer: A.1
Explanation: 18,888 / 11 = 1717 with a remainder of 1.
We need to subtract the remainder to get a multiple of 11.
The answer is A.
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A.16 seconds
B.34 seconds
C.14 seconds
D.12 seconds
Answer: D.12 seconds
Explanation: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5
= 12 seconds.
Answer: D
Question: What is the present worth of Rs. 143 due in 2 years at 5% simple interest per annum
A.110
B.120
C.130
D.140
Answer: C.130
Explanation: Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(143 - x)
= (x*5*2/100) = 143 - x
= 10x = 14300 - 100x
= 110x = 14300
x= 130
Answer: C
Question: A man gets a simple interest of Rs.1000 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
A.Rs.500
B.Rs.250
C.Rs.5012.50
D.Rs.512.5
Answer: D.Rs.512.5
Explanation: Let the principal be Rs.P
S.I at 5% p.a in 8 years on Rs.P = Rs.1000
(P)(8)(5)/100 = 1000
P = 2500
C.I on Rs.2P i.e., Rs.5000 at 5% p.a in two years
=5000{ [1 + 5/100]2 - 1} = 5000{ 212 - 202 /202}
= Rs.512.5
ANSWER:D
Question: In a contest, a bowl contains 6 keys, one of which will open a treasure chest and Five of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Kishore is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?
A.1/2
B.1/3
C.1/4
D.1/5
Answer: B.1/3
Explanation: The total possibilities existing while withdrawing two keys are: 6C2 = 15
For Kishore to win, 5 combinations exist assuming Key 1 to unlock the treasure E.g(1,2), (1,3)....(1,5)
P = 5/15= 1/3
Option B
Question: A train 180 m long running at 75 kmph crosses a platform in 40 sec. What is the length of the platform?
A.687
B.638
C.683
D.726
Answer: C.683
Explanation: D = 75 * 5/18 = 40
= 833 â€“ 150
= 683
Answer: C
Question: A ship sails out to a mark at the rate of 22 kmph. and sails back at the rate of 12 kmph. The average rate of sailing is ?
A.5 km/hr
B.12 km/hr
C.16 km/hr
D.25 km/hr
Answer: C.16 km/hr
Explanation: Answer
Average = ( 2uv / u +v ) km/hr
= ( 2 x 22 x 12 ) / (22 +12 ) km/hr.
= 16 km/hr.
Correct Option: C
Question: A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
A.28
B.32
C.36
D.24
Answer: C.36
Explanation: Explanation :
Total distance traveled = Length of train + Length of tunnel = 575 + 325 = 900
Time taken to cross the tunnel = 90 sec.
Speed in kmph = distance/time *18/5 = 900/90 * 18/5 = 180/5 = 36 kmph
Answer: C
Question: Of the votes cast on a certain proposal, 70 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
A.350
B.375
C.400
D.425
Answer: A.350
Explanation: Let x be the total number of votes cast.
0.6x = 0.4x + 70
0.2x = 70
x = 350
The answer is A.
Question: If two sides of a triangle are 6 and 8, which of the following could be the area of triangle?
1. 35
2. 48
3. 56
A.a) 1 only
B.b) 1 and 2 only
C.c) 1 and 3 only
D.d) 2 and 3 only
Answer: A.a) 1 only
Explanation: when two sides of a triangle are known , the maximum area occurs when the angle between those two sides is 90.
lets say base = 12 , height =8 (angle = 90)
maximum area = (1/2)*12*8 = 48 ( this is the same maximum area even when base is 8 and height is 12).
if we fix the base and keep lowering the angle, it will result in a lower height . hence the resulting area will always be < 48.
C,D and E are ruled out.
1 are possible areas as their areas are less than 48.
Hence the answer is A.
Question: Find the curved surface area, if the radius of a cone is 28 m and slant height is 30 m?
A.2550
B.2640
C.3960
D.4280
Answer: B.2640
Explanation: Cone curved surface area = Ï€rl
22/7 Ã— 28 Ã— 30 = 88 Ã— 30 = 2640 m(power2)
Answer is B.
Question: It takes ten minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
A.13.42
B.13.86
C.14.25
D.14.63
Answer: D.14.63
Explanation: The laptop can load the video at a rate of 1/15 of the video per second.
The phone can load the video at a rate of 1/(60*10) = 1/600 of the video per second.
The combined rate is 1/15 + 1/600 = 41/600 of the video per second.
The time required to load the video is 600/41 = 14.63 seconds.
The answer is D.
Question: Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
A.22 km/h
B.88 km/h
C.11 km/h
D.20 km/h
Answer: D.20 km/h
Explanation: Explanation:
If the speed of the faster horse be \inline f_{s} and that of slower horse be \inline s_{s} then
\inline f_{s}+s_{s}=\frac{50}{1}=50
and \inline \frac{50}{s_{s}}-\frac{50}{f_{s}}=\frac{5}{6}
Now, you can go through options.
The speed of slower horse is 20km/h
Since, 20+30=50
and \inline \frac{50}{20}-\frac{50}{30}=\frac{5}{6}
Answer: D) 20 km/h
Question: A can finish a piece of work in 5 days. B can do it in 16 days. They work together for two days and then A goes away. In how many days will B finish the work?
A.4
B.5
C.6
D.7
Answer: C.6
Explanation: 2/4 + (2 + x)/16 = 1 => x = 6 days
Answer: C
Question: A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/6 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
A.x + 2000 = 1/3*(x - 3000)
B.1/3*(x - 3000) = x
C.x + 3000 = 1/3*x
D.x - 3000 = 1/6*x
Answer: D.x - 3000 = 1/6*x
Explanation: Plane's original altitude = x
Plane's new altitude after ascending 2000 ft = x+2000
Plane's new altitude after descending 5000 ft from previous altitude = x+2000-5000 = x-3000
So, after two changes plane is at 1/6 its original altitude => x-3000 = x/6
Answer (D)
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. b-c is positive integer
II. abc is an even integer
III. (a+b+c)/3 is an integer
A.I
B.II
C.I and II
D.II and III
Answer: D.II and III
Explanation: 1. b-c is negative because c is greater than b
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+c) /3 is an integer
Again;
a=a
b=a+1
c=a+2
a+b+c=(a+a+1+a+2)=3a+3
3a is always divisible by 3
3 is divisible by 3.
Thus3a+3is also divisible by 3.
Rule:
if integer x is divisible by n
and
integer y is divisible by n
then; x+y must be divisible by n
Correct.
Ans :D
Question: In how many ways can A, B, C, D and E be seated in a row such that A and C are not seated next to each other?
A.24
B.48
C.56
D.72
Answer: D.72
Explanation: When the constraint on an arrangement says,Two people should not be seated together,we do just the opposite. We make them sit together! Kind of tie them with a thread and assume they are one unit!
Let's see why....
These 5 people can be arranged in 5! ways. These are the total number of ways you get.
Now, when we tie 2 people together, we have only 4 entities to arrange. We can do this in 4! ways. But in each of these entities, the two people can sit in two different ways (Ac and BC). So number of ways in which these two people sit together is 4!*2!.
Now, the ways in which these two people will not be together will be 5!- 4!*2! = 4!(5 - 2) = 72
Answer :D
Question: Bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
A.Rs.320
B.Rs.350
C.Rs.370
D.Rs.480
Answer: D.Rs.480
Explanation: Explanation :
100 % = 400 (100 * 4 = 400)120 % = 480 (120 * 4 = 480)Selling price = Rs.480/-
Answer : D
Question: Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the number.
A.2
B.5
C.6
D.7
Answer: B.5
Explanation: Solution: Let the two digit number be xy.
4(x + y) +3 = 10x + y .......(1)
10x + y + 18 = 10 y + x ....(2)
Solving 1st equation we get 2x - y = 1 .....(3)
Solving 2nd equation we get y - x = 2 .....(4)
Solving 3 and 4, we get x = 3 and y = 5
Answer:B
Question: A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long.The length of the train is
A.70 m
B.80 m
C.90 m
D.100m
Answer: C.90 m
Explanation: Let L be the length of the train.
The train covers a distance of (162 + L) in 18 seconds. The rate is then (162 + L)/18.
The train also covers a distance of (120 + L) in 15 seconds. The rate is then (120 + L)/15.
Presumably, the train is traveling at a constant rate. Therefore, set the two rates equal to each other and solve for L.
(162 + L)/18 = (120 + L)/15
i.e. 90
ANSWER:C
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A.1200
B.1400
C.2660
D.1600
Answer: C.2660
Explanation: A is a working member and for that, he receive 5% of the profit
= 5% of 7400 = 5*7400/100 = 370
Remaining amount = 7400-370 = 7030
Ratio of their investments = 6500*6 : 8400*5 : 10000*3
= 65*6 : 84*5 : 100*3 = 13*6 : 84 : 20*3 = 13*2 : 28 : 20
= 13 : 14 : 10
Share of B in the profit = 7030 * (14/37) = 190*14 = 2660
Answer is C
Question: A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $17 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
A.$22.50
B.$23.50
C.$24.50
D.$25.50
Answer: D.$25.50
Explanation: Let x be the price that buyers see online.
The distributor wants to receive 1.2(original price) which should be 80% of x.
1.2(17) = 0.8x
x = 1.2(17) / 0.8 = 1.5(17) = $25.50
The answer is D.
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A.5%
B.7%
C.2%
D.1%
Answer: A.5%
Explanation: 160 = (180*4*R)/100
R = 5%
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
A.2500 m^2
B.2510 m^2
C.2520 m^2
D.2600 m^2
Answer: C.2520 m^2
Explanation: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: How many cubes of edge 2 dm can be cut out of a meter cube?
A.366
B.289
C.276
D.125
Answer: D.125
Explanation: 1 * 1* 1 = 2/10 * 2/10 * 2/10 * x
x = 125
Answer:D
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
A.7 kmph
B.4 kmph
C.4 kmph
D.8 kmph
Answer: D.8 kmph
Explanation: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph
Answer: D
Question: Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
A.9/25
B.9/50
C.18/25
D.20/25
Answer: A.9/25
Explanation: Solution:
S = {1, 2, 3, … , 49, 50}
E = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 7, 14, 21, 35, 42, 49}
n(S) = 50
n(E) = 18
P(E) = n(E)/n(S) = 18/50
= 9/25
ANSWER IS A
Question: Jacob's age 18 years hence will be thrice his age four years ago. Find Jacob's present age?
A.16
B.20
C.15
D.11
Answer: C.15
Explanation: C
15
Let Jacob's present age be 'm' years.
m + 18 = 3(m - 4)
=> 2m = 30 => m = 15 years.
Question: A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 6400 a year. What is his average monthly income?
A.2000
B.2010
C.2100
D.2200
Answer: D.2200
Explanation: Total expenditure for the first 3 months = 3 × 1600 = 4800
Total expenditure for 4 months = 4 × 1550 = 6200
Total expenditure for 5 months = 5 × 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4800 + 6200 + 9000 + 6400 = Rs. 26400
So, Average monthly income = 26400/12 = Rs. 2200
D
Question: The ratio of two numbers is 5:6. If a number is added to both the numbers the ratio becomes 7:8. If the larger number exceeds the smaller number by 10. Find the number added.
A.30
B.10
C.20
D.40
Answer: C.20
Explanation: let the numbers are 5x and 6x. Let the number added is y so 5x+y/6x+y = 7/8
and 6x-5x = 10 implies x = 10
taking x=10, 50+y/60+y = 7/8 implies 400+8y = 420+7y or y = 20
ANSWER:C
Question: If the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is?
A.11
B.14
C.16
D.12
Answer: C.16
Explanation: 2 * 22/7 * 12 * x = 1240=> x = 16
Answer: C
Question: Jane covered a distance of 350 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
A.3 hours 30 minutes
B.3 hours
C.2 hours
D.1 hour 45 minutes
Answer: A.3 hours 30 minutes
Explanation: Answer
Let Jane travel 'x' at 60 miles per hour.
As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.
Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.
Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.
Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.
Therefore, total distance = 60x + 400 - 80x.
Total distance travelled = 340 miles.
Therefore, 350 = 60x + 400 - 80x
20x = 70 or x = 3 hours 30 minutes.
Choice A
Question: Sachin is younger than Robert by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
A.24.5
B.32
C.25
D.28
Answer: A.24.5
Explanation: Let Robert's age be x years
Then sachin's age = x-7 years
(x-7)/x = 7/9
x = 31.5
Sachin's age = x-7 = 24.5 years
Answer is A
Question: ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
A.1:5
B.625:3125
C.100:105
D.100^4:105^4
Answer: C.100:105
Explanation: Hi Bunuel,
Here is my approach: is this correct?
ICICI bank offers an interest of 5% per annum compounded annually on all its deposits.
Interest earned in 4 year= 10000(1+0.05)^4
Interest earned in 5 year= 10000(1+0.05)^5
Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105
Hence Ans:C
Question: The profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
A.960
B.975
C.1,200
D.920
Answer: B.975
Explanation: Let the profit or loss be x
and 852 – x = 448 + x or, x = 404⁄2 = 202
\ Cost price of the article = 852 – x = 448 + x = 650
\ SP of the article = 650 × 150⁄100 = 975
Answer B
Question: 16 grams of radioactive material decays into 8 grams in 10 years. How long will it take to decay to 1 gram?
A.30 years
B.42 years
C.45 years
D.40 years
Answer: D.40 years
Explanation: This radioactive material has half life after 10 years.
16 grams decays into 8 grams in 10 years.
Then 8 grams decays into 4 grams in next 10 years.
Then 4 grams decays into 2 grams in next 10 years.
Then 2 grams decays into 1 gram in next 10 years.
Thus 16 grams decays into 1 gram in 40 years.
ANSWER:D
Question: A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
A.10 seconds
B.12 seconds
C.14 seconds
D.16 seconds
Answer: B.12 seconds
Explanation: Explanation:
As we need to get answer in seconds, so never forget to convert speed into meter per second.
Speed = 30 km/hr = 30* 5/18 m/sec
= 25/3 m/sec
Distance = length of train = 100 meter
Required time =
Distance/Speed=100 /25/3
=100∗3/25=12sec
Option B
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
A.9 3/7 days
B.9 7/8 days
C.9 3/8 days
D.4 3/8 days
Answer: C.9 3/8 days
Explanation: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
Answer: C
Question: Charan can do a piece o work in 24 days, which Hari alone can finish in 19 days. Both together work for 7 days and then Hari leaves off. How many days will Caran take to finish remaining work?
A.22days
B.22 ½ days
C.21 ½ days
D.20days
Answer: A.22days
Explanation: Explanation:
Caran and Hari 7 days work = 7(1/24+1/19) = 43/456
Remaining work = (1- 43/456) =413/456
Charan 1 days work = 1/24
413/456 work will be done by Caran in 24* 413/456 = 22 days (approx)
Answer: Option A
Question: If 10 men and 2 boys working together, can do nine times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.7:5
B.7:3
C.7:8
D.7:1
Answer: D.7:1
Explanation: 10M + 2B = 9(1M + 1B)
10M + 2B = 9M + 9B
1M = 7B
The required ratio of work done by a man and a boy = 7:1
Answer:D
Question: Mira’s expenditure and sayings are in the ratio 3: 2. Her income increases by 10 percent. Her expenditure also increases by 12 percent. By how much per cent does her saving increase?
A.7%
B.10%
C.9%
D.13%
Answer: A.7%
Explanation: We get two values of x ,7 and 13.
But to get a viable answer we must keep in mind that the central value(10)must lie between x and 12.
Thus the value of x should be 7 and not 13
Thus, Required %increase = 7%
ANSWER:A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,700 at the end of nine years, how much money did he borrow?
A.10,315
B.12,315
C.14,000
D.16,000
Answer: B.12,315
Explanation: Let the sum borrowed be x. Then,
(x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11700
⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11700
⇒ x = (11700×100/95)= 12315
Hence, sum borrowed = 12,315
Answer B
Question: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
A.3/19
B.5/16
C.3/11
D.3/10
Answer: B.5/16
Explanation: Let Veena paid x,
so Akshitha paid x/5 , and Lasya paid 2x,
So total bill paid is given by
x+(x/5) +2x = 1, we get
i.e. x = 5/16
Answer: B
Question: A box contains three red marbles and 1 green marble. If the marbles are removed from the box one at a time, in random order, what is the probability that all three red marbles are removed before the green marble?
A.1/64
B.1/24
C.1/12
D.1/4
Answer: D.1/4
Explanation: There are 3 red marbles and 4 marbles total, so the probability of drawing a red marble on the first draw is 3/4 . On the second draw there are 2 red marbles and three marbles total so the probability of drawing a red marble is 2/3. On the third draw, there is only one red marble and one green marble, so the probability of drawing the red marble is 1/2. The probability of all three events happening is the product of the probabilities,3/4∗2/3∗1/2 or1/4
Answer D
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 30 years older than Ayush who is 10 years old. At what age did the father get married ?
A.30years
B.31years
C.32years
D.33years
Answer: D.33years
Explanation: Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 30) years = 40 years.
Ayush's father's present age = (40 + 5) years = 45 years.
Ayush's father's age at the time of Ayush's birth = (45 - 10) years = 35 years.
Therefore Ayush's father's age at the time of marriage = (35 - 2) years = 33 years.
Answer: D) 33 year
Question: Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.2.50 a meter?
A.188
B.172
C.278
D.279
Answer: B.172
Explanation: 2 * 22/7 * 11 = 69
69 * 2 1/2
= Rs.172
Answer: B
Question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
A.200
B.992
C.772
D.552
Answer: A.200
Explanation: 1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200
Answer: A
Question: If K is the sum of reciprocals of the consecutive integers from 23 to 28, inclusive, then K is closest in value to which of the following?
A.1/12
B.1/10
C.3/14
D.1/8
Answer: C.3/14
Explanation: 1/23 , 1/24 , 1/25 , 1/26 , 1/27 , 1/28
Hypothetically , assume all 6 Numbers to be 1/23
Hence sum of it would result in = 6/23 ( almost equals 1/4 , or slightly more than 1/4 - )
If all 6 nos were to be 1/28 ... Sum of which would result in 6/28 = 3/14 .
Hence answer should lie between 1/4 and 3/14
i.e 0.25 > 0.21
C