RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 300 shares of the company's stock?
A.$92
B.$96
C.$156
D.$120
Answer: C.$156
Explanation: EPS Actual> EPS expected.
each gets and additional .12 per share.
Thus .52*300 --> $156
answer is C
Question: If (1 – 1.25)N = 2, then N =
A. −400
B. −140
C. −8
D. 4
Answer: C. −8
Explanation: (1 – 1.25)N = 2
Simplify to get: -0.25N = 2
Rewrite as (-1/4)N = 2
Multiply both sides by -4 to get: N = -8
Answer: C
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 18% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
A.714,240
B.2,261,760
C.2,522,033
D.3,690,240
Answer: C.2,522,033
Explanation: Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 18% greater than the number sold during the first quarter = (1 + 18/100)x = 1.18 x
1.18 x = 2,976,000
=> x = 2,522,033
So, answer will be C
Question: John Traveled from point A to B in 4 merter per sec and from B to A in 6 meter per sec. What is his average speed?
A.4.6m/s
B.4.8m/s
C.5.2m/s
D.5.4m/s
Answer: B.4.8m/s
Explanation: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X4X6/10= 4.8. 'B' is the answer.
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
A.430
B.287
C.267
D.262
Answer: A.430
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate
= x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10
= 172 => 4x/10 = 172
=> 4x = 1720 => x
= 430.
Answer:A
Question: A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is
A.2.5 km/hr
B.4.2 km/hr
C.5 km/hr
D.10.5 km/hr
Answer: A.2.5 km/hr
Explanation: Solution
Speed of stream	= 1 / 2 (13 - 8 )kmph
= 1/2 x 5
=5 /2
= 2.5
Answer A
Question: What is 120% of 13/24 of 840?
A.436
B.478
C.512
D.546
Answer: D.546
Explanation: 120% * 13/24 * 360 = 1.2 * 13 * 35 = 546
The answer is D.
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
A.65 liters
B.68 liters
C.60 liters
D.26 liters
Answer: C.60 liters
Explanation: 2:1 --- 60
1:2
2:4
---------------
3
3 ----------- 60
3 ----------- ? => 60 liters
Answer: C
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
A.240 km
B.225 km
C.452 km
D.300 km
Answer: D.300 km
Explanation: D
300 km
Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300 = 11 => x = 300 km
Question: The average of 11 numbers is 10.7. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
A.9
B.9.2
C.10
D.13.7
Answer: D.13.7
Explanation: Explanation:
1 to 11 = 11 * 10.7 = 117.7
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 117.7 = 13.7
6th number = 13.7
D)
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
A.15 days
B.12 days
C.10 days
D.9 days
Answer: D.9 days
Explanation: Explanation:
3/12 + (3 + x)/16 = 1
x = 9 days
Answer: D
Question: A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D?
A.13
B.12
C.3
D.2
Answer: C.3
Explanation: making eqn as per the question
a=Dx+8......1
a=3Dy+21....2
multiplying 3 in eqn 1 we get eqn 3
3a=3Dx+24....3
a=3Dy+21......2
now subtract 2 from 3 we get..
2a=3D(x-y)+3
so here's the remainder we got is 3
ANSWER:C
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 60% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
A.10.5%
B.12.5%
C.15%
D.25%
Answer: D.25%
Explanation: suppose there are X motorists.
10% of them exceeded the speed limit and received the ticket, i.e. X/10.
Again, suppose total no. of motorists who exceeded the speed limit are Y.
60% of Y exceeded the speed limit but didn't received the ticket, i.e. 3Y/5.
it means 2Y/5 received the ticket.
hence, 2Y/5 = X/10
or Y/X=1/4
or Y/X * 100= 1/4 * 100= 25%
D
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 2, 2, 2 3, 3, 2
II. 32, 32, 32, 30, 30, 32
III. 37, 38, 39, 40, 44, 42
A.I, II, III
B.I, III, II
C.II, I, III
D.II, III, I
Answer: A.I, II, III
Explanation: (D) To answer a question such as this, you DO NOT need to know how to calculate standard deviation. You simply need to understand how to compare standard deviations of different sets. The more spread out the numbers are, the greater the standard deviation will be. Even one or two numbers that are much larger or smaller than the others will cause the standard deviation to rise drastically.
sequence lowest to highest = I,II,III
A
Question: How many 3-letter words can be formed using the letters of the English alphabet that contain 1 different vowels and 2 different consonants?
A.4!*5c2 *21c2
B.4!*5c3 *21c2
C.3!*5c1 *21c2
D.5!*5c2 *21c2
Answer: C.3!*5c1 *21c2
Explanation: combination for 1 vowels out of 5 =5c1 ways
combination for 2 consonants of 21 = 21c2 ways
Additionally the arrangement can be = 3!
total arrangements =3!*5c1 *21c2
C
Question: If (x+4)2−−−−−−−√=3(x+4)2=3, which of the following could be the value of x−4x−4?
A.-11
B.-7
C.-4
D.-3
Answer: A.-11
Explanation: X+4)2=9(X+4)2=9
(X−4+8)2=9(X−4+8)2=9
let X-4 = A
(A+8)2=9(A+8)2=9
Now, sub answer choices in A
A) (−11+8)2=(−3)2=9(−11+8)2=(−3)2=9
A is your answer
Question: what is the smallest number should be added to 5377 so that the sum is completely divisible by 7?
A.5
B.4
C.6
D.2
Answer: C.6
Explanation: Solution: Divide 5377 with 7 we get remainder as 1. so, add 6 to the given number so that it will divisible by 7.
Answer C
Question: Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
A.1
B.8
C.9
D.2
Answer: B.8
Explanation: Explanation:
Amy can travel clockwise or anticlockwise on the diagram.
Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.
Similarly, anticlockwise sh
Answer: B) 8
Question: if each of its sides of a rectangle is increased by 18%, what is the percentage increase in the area of the rectangle, ?
A.39.24%
B.38.24%
C.36.24%
D.37.24%
Answer: A.39.24%
Explanation: Assume original length = 100m by 50m
original area = 100*50= 5000
18% increase on each side
l = 100 + 18= 118
w = 50 + 9 = 59
new area = 118*59= 6962
increase in area = 6962 - 5000 = 1962
%increase =39.24%
Answer A
Question: If 4 : 6 :: x : 36, then find the value of x
A.24
B.22
C.28
D.30
Answer: A.24
Explanation: Explanation:Treat 4:6 as 4/6 and x:36 as x/36, treat :: as = So we get 4/6 = x/36=> 6x = 144=> x = 24 Option A
Question: 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. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
A.Rs. 30,000
B.Rs. 50,000
C.Rs. 60,000
D.Rs. 90,000
Answer: C.Rs. 60,000
Explanation: N/3=P/2
N+P=150000
60000
ANSWER:C
Question: A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in?
A.22 1/2
B.22 1/3
C.23
D.23 1/2
Answer: A.22 1/2
Explanation: Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes 3	x 60 = 90 days.
2
So, A takes 30 days to do the work.
A's 1 day's work =	1
30
B's 1 day's work =	1
90
(A + B)'s 1 day's work = 1	+	1 =	4	=	2
30	90	90	45
A and B together can do the work in	45	= 22	1	days.
2	2
Answer is A
Question: Ten circular coins are thrown on the street so that no two of them
overlap or touch, and no three of them have a tangent line in common.
What is the total number of lines which are tangent to two of the coins?
A.60
B.100
C.180
D.240
Answer: C.180
Explanation: There are n(n-1)=2 different ways
of choosing 2 objects from a given collection
of n objects. Thus, there are 10*9/2 = 45
different ways of choosing 2 of the 10 coins.
For each selection of two coins, one can form 4
tangent lines as shown at the right. Therefore,
the answer is 4*45 = 180.
correct answer C
Question: The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?
A.220
B.330
C.360
D.390
Answer: B.330
Explanation: In revolution, distance that wheel covers = circumference of wheel Diameter of wheel = 21 cm
Therefore, circumference of wheel = πd
= 22/7 × 21
= 66 cm
So, in 1 revolution distance covered = 66 cm
In 500 revolution distance covered = 66 × 500 cm
= 33000 cm
= 33000/100 m
= 330 m
ANSWER B
Question: A metallic sheet is of rectangular shape with dimensions 40m x 30 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:
A.3220 m cube
B.4140 m cube
C.2688 m cube
D.4000 m cube
Answer: C.2688 m cube
Explanation: Explanation:
l = (40 - 16)m = 24 m, [because 8+8 = 16]
b = (30 -16)m = 14 m,
h = 8 m.
Volume of the box = (24 x 14 x 8) m cube
= 2688 m cube.
Option C
Question: A work can be finished in 13 days by ten women. The same work can be finished in fifteen days by ten men. The ratio between the capacity of a man and a woman is
A.14:13
B.13:15
C.12:13
D.13:12
Answer: B.13:15
Explanation: Work done by 10 women in 1 day = 1/13
Work done by 1 woman in 1 day = 1/(13Ã—10)
Work done by 16 men in 1 day = 1/15
Work done by 1 man in 1 day = 1/(15Ã—10)
Ratio of the capacity of a man and woman =1/(15Ã—10) : 1/(13Ã—10) = 1/15 : 1/13
= 1/15 :1/13 = 13 : 15
Answer is B.
Question: A 3% stock produces 10%. The market value of the stock is:
A.Rs. 15
B.Rs. 25
C.Rs. 20
D.Rs. 30
Answer: D.Rs. 30
Explanation: Let the face value of the product is Rs.100
It stock Rs.3
Market value of the stock=(3/10)*100=Rs.30
ANSWER:D
Question: There are 20 poles with a constant distance between each pole. A car takes 20 second to reach the 12th pole. How much will it take to reach the last pole.
A.34.4543
B.34.5455
C.34.45128
D.34.51288
Answer: B.34.5455
Explanation: Assuming the car starts at the first pole.
To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).
11 poles 20 seconds
1 pole (20/11) seconds
To reach the last (20th) pole, the car needs to travel 19 poles.
19 pole 19 x (20/11) seconds
= 34.5455 seconds
Answer:B
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 10 : 5?
A.16
B.45
C.277
D.92
Answer: B.45
Explanation: Let the distances between city A to B and B to C be 10x km and 5x km respectively.
Total time taken to cover from A to C
= (10x)/40 + (5x)/60 = (30x + 10x)/120 = 40x/120 = x/3 Average speed = (10x + 5x)/(x/3) = 45 kmph.
Answer:B
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
A.4/9
B.4/3
C.4/2
D.4/8
Answer: A.4/9
Explanation: 2/3 ---- 12
? ----- 8 ==> 4/9
Answer: A
Question: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn
A.4/13
B.1/52
C.1/4
D.1/5
Answer: A.4/13
Explanation: Explanation:
Total number of cases = 52
Total face cards = 16 [favourable cases]
So probability = 16/52 = 4/13
Answer: A
Question: A sells a bicycle to B at a profit of 70% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
A.-4%
B.2%
C.-5%
D.6%
Answer: B.2%
Explanation: The resultant profit or loss = 70 - 40 - (70*40)/100 = +2%
Profit = 2%
Answer is B
Question: Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 15 members of this sequence?
A.618
B.900
C.788
D.928
Answer: A.618
Explanation: I would split them up like this.
23 28 33 and so on (8 terms)....the 8th term = 23+7*5 = 58
27 32 37 and so on (7 terms)......the 7th term = 27+6*5 = 57
Since the distance between any two numbers is the same we can use arithmetics
first+last/2 times no of numbers = the sum
(23+58)/2 * 8= 324
(27+57)/2 * 7 = 294
= 618
A
Question: An empty pool being filled with water at a constant rate takes 5 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
A.5 hr 30 min
B.5 hr 20 min
C.4 hr 48 min
D.3 hr 20 min
Answer: D.3 hr 20 min
Explanation: (3/5) of a pool/ 5 hours = 3/25 (the rate)
(3 pools/25 hours) = (2/5* pool)/ x hours
Cross multiply 3x = (2/5) 25
x = 3 1/3
1/3 of an hour = 20 minutes
D
Question: If 5x + y = 15, 5y + z = 25 and 2z + x = 2, what is the value of x ?
A.2
B.7
C.9
D.12
Answer: A.2
Explanation: Explanation:
5x + y = 15 –-------I * 5
5y + z = 25 –------ II
2z + x = 2 -------- III
Subtract (I) and (II)
25x + 5y + 0 = 75
- 0 + 5y + z = 25
-------------------------------
25x + 0 – z = 50 ….......... IV
Multiply (IV)*2, we get 50x – 2z = 100
Adding (III) and (IV) we get,
50x – 2z = 100
+ x + 2z = 2
------------------------
51 x = 102
x = 2
The value of x = 2
ANSWER A
Question: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
A.4/5
B.3/5
C.3/10
D.1/5
Answer: D.1/5
Explanation: 100%-(15%+10%+55%)=20% remains for other allocations --> 20% = 20/100 = 1/5.
Answer: D.
Question: A can finish a work in 8 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?
A.3/5
B.3/6
C.3/7
D.3/8
Answer: D.3/8
Explanation: Explanation:
Please note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question
So lets solve now,
A's 1 day work = 1/8
B's 1 day work = 1/4 [because B take half the time than A]
(A+B)'s one day work =
(1/8+1/4)=3/8
So in one day 3/8 work will be done
Answer: D
Question: A pharmaceutical company received $2 million in royalties on the first $15 million in sales of generic equivalent of one of its products and then $6 million in royalties on the next $72 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $15 million in sales to the next $72 million in sales?
A.25%
B.30%
C.32.5%
D.37.5%
Answer: D.37.5%
Explanation: change in ratio of royalties to sales = 2/15 -6/72 = 1/20
% decrease = (1/20)/(2/15) *100 = 37.5%
Answer: D)
Question: The workforce of Company X is 60% female. The company hired 22 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
A.160
B.220
C.264
D.360
Answer: C.264
Explanation: Let's xx be total quantity of employees
0.6x=females before adding men
0.55(x+22)=females after adding men
as quantity of women doesn't change we can make an equation:
0.6x=0.55(x+22)
0.05x=12.1
x=242 - this is quantity of employees before adding 22 men
So after adding it will be 264
Answer is C
Question: If each side of the square is increased by 25% find the percentage change in its area?
A.89.45%
B.56.25%
C.89.98%
D.54.48%
Answer: B.56.25%
Explanation: let each side of the square be a. then area =a^2
new side=125a/100=5a/4
new area=(5a/4)^2=25a^2/16
increase in area=(25a^2/16-a^2)=9a^2/16
increased %=(9a^2/16*1/a^2*100)=56.25%
Answer is(B)
Question: A circular mat with diameter 16 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
A.5/12
B.2/5
C.1/3
D.3/4
Answer: C.1/3
Explanation: SO we are looking for the area of the cloth over the area of the table
Area of the Cloth = (pi)(r)^2 which is about (3)(8)(8)
Area of the Table = (24)(24)
So the quick way to estimate is looking at the fraction like this: (3/24)(64/24)
I hope this is easy to follow, so with some simplification i get (1/8)(8/3) = (1/3) Answer is C
Question: A AND B CAN DO A WORK IN 12 DAYS, B AND C IN 15 DAYS, C AND A IN 20 DAYS. IF A, B AND C WORK TOGETHER, THEY WILL COMPLETE THE WORK IN:
A.5 DAYS
B.7 5/6 DAYS
C.10 DAYS
D.15 2/3 DAYS
Answer: C.10 DAYS
Explanation: (A+B)'S 1 DAY'S WORK=1/12, (B+C)'S 1 DAY'S WORK = 1/15;
(A+C)'S 1 DAY'S WORK = 1/20
ADDING, WE GET : 2(A+B+C)'S 1 DAY'S WORK =(1/12+1/15+1/20)=12/60=1/5
(A+B+C)'S 1 DAY'S WORK = 1/10
SO, A, B AND C TOGETHER CAN COMPLETE THE WORK IN 10 DAYS.
CORRECT OPTION: C
Question: A student scored an average of 85 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
A.86
B.16
C.76
D.65
Answer: D.65
Explanation: Given M + P + C = 85 * 3 = 255--- (1)
M + P = 90 * 2 = 180 --- (2)
P + C = 70 * 2 = 140 --- (3)
Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.
P = (2) + (3) - (1) = 180 + 140 - 255
= 65
Answer:D
Question: The distance from City A to City B is 30 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
A.45
B.88
C.120
D.152
Answer: C.120
Explanation: The time it takes Bob to drive to City B is 30 / 40 =0.75 hours.
Alice needs to take less than 0.25 hours for the trip.
Alice needs to exceed a constant speed of 30 /0.25 = 120 miles per hour.
The answer is C.
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
A.Rs. 2100
B.Rs. 2150
C.Rs. 2200
D.Rs. 2250
Answer: C.Rs. 2200
Explanation: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178.
=> (90%) of (110%) of x = Rs. 2178.
=> (90/100)(110/100)x = 2178
=> x = (2178 * 100)/(9 * 11)
=> x = Rs. 2200
ANSWER:C
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + a = 4, which of the following best approximates the circumference of circle O?
A.28
B.22
C.20
D.16
Answer: C.20
Explanation: Given that (1/a)+a =3
Square both sides of the equation:
We get,
[(1/a)^2 + a^2 + 2*(1/a)*a] = 9
=> (1/a)^2 + a^2 + 2 = 9
=> (1/a)^2 + a^2 = 7 ----------------- (1)
Diameter D = (1/a)^2 + a^2
= 7 (From (1))
So Radius = D/2 = 7/2
Circumference = 2*Pi*r
= 2*(22/7)*(7/2)
=20
So the answer should be C
Question: The difference between simple and compound interest on Rs. 1500 for one year at 10% per annum reckoned half-yearly is?
A.8.0
B.3.0
C.9.5
D.3.75
Answer: D.3.75
Explanation: S.I. = (1500 * 10 * 1)/100 = Rs. 150
C.I. = [1500 * (1 + 5/100)2 - 1500]
= Rs. 153.75 Difference = (153.75 - 150)
= Rs.3.75
Answer:D
Question: If -3x+2y=28 and 3x+6y=84, what is the product of x and y?
A.264.
B.428
C.0
D.462
Answer: C.0
Explanation: Given -3x+2y=28 ---Eq 1
3x + 6y =84 -- Eq 2
Sum both eqns we get 8Y = 112 => Y = 14
Sum 2Y in eq 1 => -3X - 28 = 28.
=> X = 0
Now XY = 0 * 14 = 0.
Option C is correct answer.
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
A.9:1
B.4:7
C.7:1
D.2:5
Answer: A.9:1
Explanation: Explanation:
Milk = 3/5 * 20 = 12 liters, water = 8 liters
If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.
Remaining milk = 12 - 6 = 6 liters
Remaining water = 8 - 4 = 4 liters
10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.
The ratio of milk and water in the new mixture = 16:4 = 4:1
If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10 = 8 liters.
Amount of water removed = 2 liters.
Remaining milk = (16 - 8) = 8 liters.
Remaining water = (4 -2) = 2 liters.
The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
ANSWER IS A
Question: 0.03 x 0.5 = ?
A.0.0001
B.0.001
C.0.015
D.0.1
Answer: C.0.015
Explanation: Explanation:
3 x 5 = 15.
Sum of decimal places = 3
0.02 x 0.5 = 0.015
Answer- C
Question: A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
A.45 kmph
B.50 kmph
C.55 kmph
D.60 kmph
Answer: C.55 kmph
Explanation: Explanation:
Let the speed of the train be x kmph.
Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.
Therefore 100/((x+5)×5/18)=6 <=> 30 (x + 5) = 1800 <=> x = 55
Speed of the train is 55 kmph.
Answer: Option C
Question: A present value of a machine is $2000. Its value depletiation rate is 20% per annum then find the machine value before 2 years?
A.$3125
B.$2945
C.$3012
D.$2545
Answer: A.$3125
Explanation: P= $2000
R = 20%
T = 2 years
Machine value before 2 years = P/[(1-R/100)^T]
=2000*5/4 * 5/4
=$3125
Answer is A
Question: Calculate the cost of p meters of rope given that the cost of m meters of said rope is q rupees?
A.Rs.(q*m)
B.Rs.(pq/m)
C.Rs.(q/m)
D.Rs.(p/m)
Answer: B.Rs.(pq/m)
Explanation: Cost of m metres = Rs. q.
Cost of 1 metre = Rs.	q/m
Cost of p metres = Rs.(q/m)* p= Rs.(pq/m)
Answer is B.
Question: Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 2th shift?
A.1/27
B.1/54
C.1/81
D.1/6
Answer: D.1/6
Explanation: Fraction of area unpainted after FIRST shift of Amit = 1-(1/2) = 1/2
Fraction of area unpainted after FIRST shift of Ian = (1/2)-(1/3)(1/2) = (2/3)(1/2)
Fraction of area unpainted after SECOND shift of Amit = (1/2)(2/3)(1/2)=1/6
Answer: option D
Question: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
A.1/3
B.1/2
C.1/6
D.1/8
Answer: C.1/6
Explanation: Explanation :
P(first letter is not vowel)=2/4P(second letter is not vowel)=1/3So,probability that none of letters would be vowels is =(2/4)x(1/3)=1/6
Answer : C