question stringlengths 3 1.14k | choices listlengths 4 4 | answer_index int64 0 3 | answer_text stringlengths 3 221 | source stringclasses 1
value | explanation stringlengths 1 3.68k |
|---|---|---|---|---|---|
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability C that out of the two, one is white and one is blue? | [
"A.15/56",
"B.41/56",
"C.13/28",
"D.15/28"
] | 3 | D.15/28 | aqua_rat | The required probability C= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8... |
Of 120 applicants for a job, 56 had at least 4 years' experience, 72 had degrees, and 12 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? | [
"A.10",
"B.15",
"C.22",
"D.20"
] | 3 | D.20 | aqua_rat | 120 - 12 = 108
108 - 56 - 72 = -20
Then 20 are in the intersection between 4 years experience and degree.
Answer : D |
Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together. | [
"A.1/1155",
"B.1/1255",
"C.1/1355",
"D.1/1455"
] | 0 | A.1/1155 | aqua_rat | (Probability of an event) = (Favorable) / (Total)
The total number of ways to arrange 11 books in a row is 11!.
3 groups of books: financial management (F), marketing management (M) and system management (S), can be arranged in 3! ways: FMS, FSM, MFS, MSF, SFM, and SMF (this way all the books of each kind will be toget... |
The inverse ratio of 3: 2: 1 is? | [
"A.2:3:8",
"B.4:3:6",
"C.2:3:2",
"D.2:3:6"
] | 3 | D.2:3:6 | aqua_rat | 1/3: 1/2: 1/1
= 2:3:6
Answer: D |
Which of the following MUST yield an integer when divided by 11? | [
"A.The sum of eleven consecutive positive integers.",
"B.The square of a prime number.",
"C.The sum of two odd integers.",
"D.The product of three consecutive odd numbers."
] | 0 | A.The sum of eleven consecutive positive integers. | aqua_rat | For option A: Let the numbers be (x-5), (x-4), (x-3), (x-2), (x-1), (x), (x+1), (x+2), (x+3), (x+4), (x+5).
Now, (x-5)+(x-4)+(x-3)+(x-2)+(x-1) + (x) + (x+1) + (x+2)+(x+3)+(x+4)+(x+5) = 11(x). Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A). |
A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ? | [
"A.722",
"B.729",
"C.278",
"D.299"
] | 1 | B.729 | aqua_rat | Explanation:
Choose 5 starters from a team of 12 players. Order is not important.
\inline {\color{Black} 12C_{5}}= 729
Answer: B) 729 |
Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 8% of her entire investment? | [
"A.1200",
"B.3000",
"C.1000",
"D.3600"
] | 3 | D.3600 | aqua_rat | Let the additional invested amount for 8% interest be x;
Equation will be;
2400+0.05*2400+x+0.08x = 2400+x+0.08(2400+x)
0.05*2400+0.08x = 0.06x+0.08*2400
0.02x = 2400(0.08-0.05)
x = 2400*0.03/0.02 = 3600
Ans:D |
One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid. | [
"A.286",
"B.364",
"C.504",
"D.164"
] | 1 | B.364 | aqua_rat | As there are 12 balls along one side, it means that there are 12 layers of balls. The top most layer has 1 ball. The second layer has 3 (1+2) balls. The third layer has 6 (1+2+3) balls. The fourth layer has 10 (1+2+3+4) balls. The fifth layer has 15 (1+2+3+4+5) balls. Similarly, there are 21, 28, 36, 45, 55, 66 and 78 ... |
Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left? | [
"A.21",
"B.20",
"C.19",
"D.16"
] | 1 | B.20 | aqua_rat | greatest number of paired shoes means greatest number of lost pairs
9 shoes have 4 pairs and 1 extra shoes of a pair .so a otal of 5 pairs she loses
leftover pair=20
ANSWER:B |
A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall pr... | [
"A.24",
"B.18",
"C.27",
"D.32"
] | 2 | C.27 | aqua_rat | DETAILED SOLUTION
Let us assume he buys n goods.
Total CP = 20n
Total SP = 2 + 4 + 6 + 8 ….n terms
Total SP should be at least 40% more than total CP
2 + 4 + 6 + 8 ….n terms ≥ 1.4 * 20 n
2 (1 + 2 + 3 + ….n terms) ≥ 28n
n(n + 1) ≥ 28n
n2 + n ≥ 28n
n2 - 27n ≥ 0
n ≥ 27
He should sell a minimum of 27 goods.
Answer Choice (... |
65% of x = 20% of 747.50. Find the value of x? | [
"A.100",
"B.230",
"C.150",
"D.180"
] | 1 | B.230 | aqua_rat | 65% of x = 20% of 747.50
Then, 65/100 * x = 20/100 * 7475/10
x = 230
Answer is B |
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is: | [
"A.4",
"B.5",
"C.6",
"D.6"
] | 0 | A.4 | aqua_rat | Let the required numbers be 33a and 33b.
Then, 33a + 33b = 528 => a + b = 16.
Now, co-primes with sum 16 are (1, 15), (3, 13), (5, 11) and (7, 9).
Required numbers are (33 * 1, 33 * 15), (33 * 3, 33 * 13), (33 * 5, 33 * 11), (33 * 7, 33 * 9).
The number of such pairs is 4.
Answer:A |
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 200,000 bacteria | [
"A.10",
"B.12",
"C.14",
"D.16"
] | 3 | D.16 | aqua_rat | The question basically asks how many minutes it takes for a population to increase by factor 200 (200,000 / 1,000 = 200).
Now you know that every two minutes the population doubles, i.e. is multiplied by 2. So the equation becomes:
2^x >= 200, where x represents the number of times the population doubles. A lot of peop... |
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 500 m long? | [
"A.65sec",
"B.70sec",
"C.74sec",
"D.80sec"
] | 2 | C.74sec | aqua_rat | Speed = 240/24 = 10 m/sec.
Required time = (240 + 500)/10 = 74 sec.
Answer:C |
The average temperature of a city in the first four days of a month was 36°. The average for the 2nd, 3rd, 4th and 5th day was 38°. If the temperature of the 1st and 5th day were in the ratio 4 : 5, then what is the temperature on the fifth day ? | [
"A.40°",
"B.49°",
"C.43°",
"D.41°"
] | 0 | A.40° | aqua_rat | Explanation:
The temperature for first 4 days = 4 * 36 = 144
The temperature for last 4 days = 4 * 38 = 152
The difference between the temperatures is (152 – 144) = 8
The ratio of temperature between first and fifth day is 4 : 5
The temperature on fifth day is 5*8 = 40
ANSWER: A |
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all? | [
"A.9",
"B.18",
"C.27",
"D.36"
] | 0 | A.9 | aqua_rat | all sparrows bt six i.e. those six can b 3 pigeons and 3 ducks,
similarly the other 2 conditions will apply..
ANSWER:A |
Find the number which multiplied by 15 is increased by 196. | [
"A.14",
"B.20",
"C.26",
"D.28"
] | 0 | A.14 | aqua_rat | Let the number be x. Then,
15x - x = 196
x = 14
ANSWER:A |
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 8}. What is the probability that the median of the set will increase but the range still remains the same? | [
"A.0.2",
"B.0.3",
"C.0.4",
"D.0.5"
] | 3 | D.0.5 | aqua_rat | We are selecting from non-negative single digit integers, so from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. These 10 digits represent the total number of outcomes.
Hence, the total number of outcomes is 10.
We need to find the probability that the median of the set will increase but the range still remains the same.
The median o... |
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found t... | [
"A.A)1",
"B.B)2",
"C.C)3",
"D.D)0"
] | 3 | D.D)0 | aqua_rat | I wish I could draw a diagram to show you but by giving you number A and B, it might help a little.
A and B and C is 5 - that means A and B is at least 5. This seems trivial given the value intervals of A and B but definitely helps to think through how to minimize A and B but not C
A and B but not C = |A|-|B| - 5
So i ... |
6% of customers that enter a store on any given day must not pay tax. If 1000 people shop every day, how many people pay taxes in the store every week | [
"A.6500",
"B.6580",
"C.7200",
"D.7120"
] | 1 | B.6580 | aqua_rat | 6% of customers do not pay taxes.
6/100 * 1000 customers do not pay taxes.
6/100 * 1000 = 60
Therefore 1000 - 60 customers do pay taxes.
1000 - 60 = 940
940 * 7 days per week = 6580
B) |
A taxi owner buys diesel at Rs.8.50, Rs. 9 and Rs. 9.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 5000 each year? | [
"A.7.98",
"B.8.98",
"C.9.98",
"D.6.98"
] | 1 | B.8.98 | aqua_rat | Total Cost = 5000 × 3=15000
Total diesel used = 5000/8.50 + 5000/9 +5000/9.50
=588+555+527
=1670
Average cost per litre of diesel=15000/1670
=8.98
ANSWER:B |
With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind. | [
"A.10 kmph",
"B.11 kmph",
"C.12 kmph",
"D.13 kmph"
] | 0 | A.10 kmph | aqua_rat | 1120 miles in seven hrs that means up speed is 1120/7=160.
for against the wind 1120 miles in 8 hrs so down speed 1120/8=140.
now plain speed in still air=1/2(160+140)=150 kmph
wind speed=1/2(160-140)=10 kmph
ANSWER:A |
x = 13.165
y = 7.496
z = 11.557
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B? | [
"A.0.01",
"B.0.02",
"C.0.03",
"D.0.1"
] | 1 | B.0.02 | aqua_rat | Rounding off the values:
x = 13.17
y = 7.50
z = 11.56
A = 13.17 + 7.50 + 11.56= 32.23
x + y + z = 13.165 + 7.496 + 11.557 = 32.206
B = 32.21
A - B = 0.02
Option B |
If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1? | [
"A.200 km",
"B.210 km",
"C.220 km",
"D.240 km"
] | 3 | D.240 km | aqua_rat | let the distance travelled at 40 kmph=x km
distance travelled at 30 kmph =300-x km
x/40 + (300-x)/30 = 8
x = 240
ANSWER:D |
If the length of the longest chord of a certain circle is 18, what is the radius of that certain circle? | [
"A.2.5",
"B.9",
"C.10",
"D.15"
] | 1 | B.9 | aqua_rat | Longest chord of a circle is the diameter of the circle
diameter = 2 * radius
If diameter of the circle is given as 18 = 2 * 9
so radius of the circle = 9
correct answer - B |
Nick took a bus from home to market, that travels at 80 kmph. While walking back at 8 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph. Find the average speed. | [
"A.49.5 kmph",
"B.49.0 kmph",
"C.48.5 kmph",
"D.48.0 kmph"
] | 3 | D.48.0 kmph | aqua_rat | Let the distance be 2x(one way)
Time taken by bus = 2x/80, by walking =x/8, by cycling = x/60 hours
:. Average speed = Total Distance/Total time
= 8x / x/40 + x/8 + x/60
= 8 *60 / 1.5+7.5+1
= 12.0
ANSWER:D |
At the faculty of Aerospace Engineering, 310 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering? | [
"A.430",
"B.432",
"C.440",
"D.442"
] | 0 | A.430 | aqua_rat | 310 + 232 - 112 (since 112 is counted twice )= 430
A is the answer |
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible A score that Lindsey could... | [
"A.52%",
"B.64%",
"C.72%",
"D.76%"
] | 0 | A.52% | aqua_rat | If the midterm counts for 25% of the total grade, then the final exam must count for the remaining 75%, meaning that in this weighted average problem the final is weighted 3 times as much as the midterm. Using the weighted average mapping strategy, then, and maximizing her final exam score so that you minimize her midt... |
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | [
"A.176 m",
"B.189 m",
"C.245 m",
"D.189 m"
] | 2 | C.245 m | aqua_rat | Speed = (45 * 5/18) m/sec
= (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X)
= 750 ==> X = 245 m.
Answer:C |
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 40%, which of the following is closest to the percent change in the concentr... | [
"A.100% decrease",
"B.50% decrease",
"C.40% decrease",
"D.40% increase"
] | 1 | B.50% decrease | aqua_rat | The rate of reaction is invesrsly proportional to the concentration of chemical B present. It used to have B=1 . Now that B is increased by 40%. So the new equation would be 2B=(1/2). In order for the rate of reaction to still be 1, we need to change the concentration of A to yield a 2. It used to be A^2=1, now the new... |
Jill works as a waitress at the local diner where she earns an hourly wage of $8.00 per hour and a standard tip rate of 30% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week? | [
"A.1120",
"B.300",
"C.320",
"D.350"
] | 0 | A.1120 | aqua_rat | Jill earns 8 dollars/hour and the hourly tip is (3/10)*40.
Jill thus earns 8*14+14*12 per day(or 8(14)+12(14)=20(14)=280).
Jill has worked for 4 days -> 280*4=1120.
This matches answer choice A. |
Which number is a factor of 20? | [
"A.3",
"B.4",
"C.7",
"D.18"
] | 1 | B.4 | aqua_rat | A whole number that divides exactly into another whole number is called a factor
20/5 =4
answer B |
A and B play a series of 5 games in badminton. A's chance of winning s single game against B is 2/3. Find the chance that A wins exactly 3 games. | [
"A.64/81",
"B.35/128",
"C.80/243",
"D.None of these"
] | 2 | C.80/243 | aqua_rat | Explanation :
Here, each game is a trial and A's winning the game is a success. All games are independent , so, using the binomial distribution.
P(X) = nCx px(1 - p)n-x.
Where, x= wins exactly 3 games
=> x = 3.
p= 2/3, 1-p=1/3, n=5.
P(3) = 5C3 (2/3)3(1/3)2 .
=> 10 x (2(3)/3(5)).
=> 80/243.
Answer : C |
852.68 − 4.5 + 108.94 = ? − 2132.54 | [
"A.6078.58",
"B.5225.9",
"C.6078.54",
"D.6088.58"
] | 2 | C.6078.54 | aqua_rat | Option 'C' |
A bag contains 6 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green? | [
"A.2/5",
"B.3/5",
"C.11/17",
"D.7/15"
] | 2 | C.11/17 | aqua_rat | Total number of balls = (6 + 5 + 6) = 17.
Therefore, n(S) = 17.
Let E1 = event of drawing a red ball.
and E2 = event of drawing a green ball.
Then, E1 n E2 = f.
P (E1 n E2) = P(E1) + P(E2) = (6/17 + 5/17) = 11/17.
ANSWER:C |
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long? | [
"A.99 sec",
"B.89 sec",
"C.54 sec",
"D.27 sec"
] | 1 | B.89 sec | aqua_rat | Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
Answer: B |
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58? | [
"A.3944",
"B.1624",
"C.2999",
"D.2667"
] | 1 | B.1624 | aqua_rat | Let the side of the square plot be a ft.
a2 = 49=> a = 7
Length of the fence = Perimeter of the plot = 4a = 28 ft.
Cost of building the fence = 28 * 58 = Rs. 1624.
Answer: B |
Two numbers are in the ratio of 5:8. If 30 be subtracted from each, they are in the ratio of 5:9. Find the numbers? | [
"A.122,195",
"B.121,199",
"C.120,192",
"D.102,192"
] | 2 | C.120,192 | aqua_rat | (5x-30):(8x-30) = 5:9
x = 24=> 120,192
Answer: C |
A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two p... | [
"A.10 h",
"B.14 h",
"C.16 h",
"D.20 h"
] | 2 | C.16 h | aqua_rat | DETAILED SOLUTION
The 475 litres is filled in 19 hours by the two pipes when they are opened simultaneously.
Therefore, rate of water flow by A and B,
A + B = 47519 = 25 litres/hour………….(1)
Let pipe B was opened for t hours
Then, pipe A was opened for t + 5 hours
A x (t+5) + B x t = 475
(A + B) x t + 5A = 475
25t + 5A ... |
How many three letter words are formed using the letters of the word TIME? | [
"A.66",
"B.57",
"C.88",
"D.24"
] | 3 | D.24 | aqua_rat | The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is 4P3
= 4 * 3 * 2 = 24.
Answer: D |
A tradesman by means of his false balance defrauds to the extent of 15%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? | [
"A.44%",
"B.48%",
"C.32%",
"D.45%"
] | 2 | C.32% | aqua_rat | g% = 15 + 15 + (15*15)/100
= 32%
Answer: C |
Rachel and Sarah started out to visit Grandma. They drove for 50 miles and stopped to rest
before driving for 30 more miles. They decided to go back 10 miles to a restaurant they had seen.
After leaving the restaurant, they drove 80 more miles to Grandma’s house. How many miles did the
girls drive on the way to Grandma... | [
"A.150 miles",
"B.160 miles",
"C.170 miles",
"D.180 miles"
] | 2 | C.170 miles | aqua_rat | 50 + 30 = 80 to turn around
80 + 10 = 90 backtrack to restaurant
90 + 80 = 170 miles is total distance driven
correct answer C |
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours C will it take 12 beavers that work at the same pace, to build the same dam? | [
"A.2.",
"B.4.",
"C.C=5.",
"D.C=6."
] | 2 | C.C=5. | aqua_rat | C. 5 hrs
If there were 10 beavers it qould have taken double C= 6hrs.. so closest to that option is 5. |
In an examination, 300 students appeared. Out of these students; 26 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. | [
"A.33",
"B.37",
"C.54",
"D.60"
] | 3 | D.60 | aqua_rat | The number of students with first division = 26 % of 300 = 26/100 × 300 = 7800/100 = 78
And, the number of students with second division = 54 % of 300
= 54/100 × 300
=16200/100
= 162
Therefore, the number of students who just passed = 300 – (78 + 162) = 60
Answer:D |
If |x| = 4x - 1, then x = ? | [
"A.3",
"B.1/2",
"C.1 and 1/2",
"D.-1/2"
] | 0 | A.3 | aqua_rat | Answer: A
Approach:
Substituted option A i.e x=1. Inequality satisfied. |
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 8 | [
"A.1/2",
"B.7/12",
"C.3/7",
"D.5/12"
] | 2 | C.3/7 | aqua_rat | Total number of cases = 7*7 = 49
Favourable cases = [(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,4),(5,5),(5,6),(5,7),(6,3),(6,4),(6,5),(6,6),(6,7),(7,2),(7,3),(7,4),(7,5),(7,6),(7,7)] = 21
So Probability = 21/49 = 3/7
Answer is C |
A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work? | [
"A.6 days",
"B.2 days",
"C.8 days",
"D.4 1/5 days"
] | 3 | D.4 1/5 days | aqua_rat | Work done by A in 3 days = 3/10
Remaining work = 7/10
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 7/10 * 6/1 = 21/5 = 4 1/5 days.
Answer: D |
A block of wood has dimensions 10cm x 10cm x 80cm. The block is painted red and then cut evenly at the 40 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red? | [
"A.5.6%",
"B.8.4%",
"C.11.2%",
"D.14.8%"
] | 0 | A.5.6% | aqua_rat | The area of each half is 100+4(400)+100 = 1800
The area that is not painted is 100.
The fraction that is not painted is 100/1800 = 1/18 = 5.6%
The answer is A. |
Which of the following equations represents a line that is perpendicular to y=1/4*x+2? | [
"A.y−2x=8",
"B.2x+4y=10",
"C.3y+6x=12",
"D.4y−8x=16"
] | 3 | D.4y−8x=16 | aqua_rat | For two lines to be perpendicular, the product of slopes should be equal to -1.
Slope of line 1 = 1/2
Slope of the line perpendicular to line 1 must be -2. Option C can be rewritten as y = -2x + 4 --> Slope = -2
Answer: D |
If a man can cover 15 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? | [
"A.196km",
"B.190km",
"C.200km",
"D.202.5km"
] | 3 | D.202.5km | aqua_rat | 15 m/s = 15 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 15 * 18/5 * 15/4 km = 202.5 km.
Answer:D |
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 6000 Km? | [
"A.10.",
"B.25.",
"C.300.",
"D.38."
] | 2 | C.300. | aqua_rat | Total distance= Distance travelled by A +Distance travelled by car B
Distance= speed*time
Distance of A= 3x * 6
Distance of B= x*2
(3x * 6) + (x*2) = 6000
x= 300 KM/hr
C is the answer |
If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to : | [
"A.22",
"B.37",
"C.38",
"D.398"
] | 0 | A.22 | aqua_rat | Explanation:
3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)
= (6 + 10 - 9 + 15) = 22.
Answer: A) 22 |
A water tank is one-fourth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? | [
"A.4 min. to empty",
"B.6 min. to full",
"C.10 min. to empty",
"D.9 min. to full"
] | 2 | C.10 min. to empty | aqua_rat | Clearly, pipe B is faster than pipe A and so, the tank will be emptied.
Part to be emptied = 1/4
Part emptied by (A + B) in 1 minute = (1/8 - 1/10) = 1/40
1/40 : 1/4 :: 1 : x
x = (1/4 * 1 * 40) = 10 min.
So, the tank will be emptied in 10 min.
ANSWER:C |
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#30? | [
"A.10",
"B.11",
"C.12",
"D.13"
] | 2 | C.12 | aqua_rat | First, let's translate the expression 21#30, using the definition given:
21#30 = 21×24×27×30
We need the prime factorization of this product.
Let's factor out 3 from each multiple.
21#30 = 3^4(7×8×9×10)
Now let's replace each consecutive integer with its prime factorization:
21#30 = 3^4(7×2^3×3^2×(2×5))
Let's group the... |
The average of five consecutive odd numbers is 51. What is the difference between the highest and lowest number? | [
"A..8",
"B.9",
"C.6",
"D.5"
] | 0 | A..8 | aqua_rat | Explanation:
Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.
Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)] / 5 = 51
5x + 20 = 255
x = 47
So, required difference = (47 + 8) – 47 = 8
ANSWER: A |
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $810 was the net sum to be paid ... | [
"A.$144",
"B.$90",
"C.$60",
"D.$54"
] | 3 | D.$54 | aqua_rat | The correct answer is D. |
Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. The two companies merge, every employee stays with the resulting company, and no new employees are added. If the re... | [
"A.10%",
"B.20%",
"C.25%",
"D.50%"
] | 2 | C.25% | aqua_rat | Let say Company A has x employes and B has y employees. Now they merge and total no of employees = x+y employees.
Per the question Company A's workforce consists of 10 percent managers and 90 percent software engineers. Company B's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent... |
A train 125 m long passes a man, running at 2 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? | [
"A.36",
"B.50",
"C.28",
"D.47"
] | 3 | D.47 | aqua_rat | Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 2) km/hr. x - 2 = 45 ==> x = 47 km/hr
Answer: D |
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is d = 0.123456789101112
What is the 100th digit of d to the right of decimal point ? | [
"A.0",
"B.1",
"C.5",
"D.8"
] | 2 | C.5 | aqua_rat | Now, let's see first we have those single digit numbers that occupy 9 spaces
Then the next integers from 10 to 19 will be 10 of them that will occupy 2 places each hence 20
The next ones will be from 20 to 29, 10 of them again, 2 places each hence 20 and so on
...
Until we get to 50-59 which will be 10 integers again, ... |
Angelina walked 100 meters from her home to the grocery at a constant speed. She then walked 180 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? | [
"A.2",
"B.3",
"C.0.5",
"D.6"
] | 2 | C.0.5 | aqua_rat | let the speed be X...
so time taken from home to grocery= 100/x..
the speed to gym = 2x..
so time taken = 180/2x=90/x..
its given 100/x-90/x=40..
10/x=40..
x=0.25m/secs..
so grocery to gym=2*0.25=0.5m/s...
Answer : C |
The sum of all the integers f such that -26 < f < 24 is | [
"A.0",
"B.-2",
"C.-25",
"D.-49"
] | 3 | D.-49 | aqua_rat | Easy one -
-25, -24, -23,-22,...... -1,0, 1, 2...., 22, 23
Cancel everyhitng and we're left with - -25 and -24 f= -49.
D is the answer. |
Tough and Tricky questions: Arithmetic.
(54^2 + 54^2)/18^2 = | [
"A.24",
"B.8",
"C.29",
"D.58"
] | 0 | A.24 | aqua_rat | Ans is 24
my approach was:
(54^2 + 54^2)/18^2 =54(54+54)/18*18
=54*108/18*18=3*6=24
A |
In a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads, find the number of keepers. | [
"A.25",
"B.20",
"C.15",
"D.13"
] | 2 | C.15 | aqua_rat | Let the number of keepers be x then,
Total number of heads =(50 + 45 + 8 + x)= (103 + x).
Total number of feet = (45 + 8) x 4 + (50 + x) x 2 =(312 +2x).
(312 + 2x)-(103 + x) =224 ==> x =15.
Hence, number of keepers =15.
Answer C. |
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability Q that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls? | [
"A.8/28",
"B.Q=9/28",
"C.Q=10/28",
"D.Q=10/18"
] | 1 | B.Q=9/28 | aqua_rat | (3c2*2c1*3c2)/8c5
=(3*2*3)/(8*7*6/3*2)
=18/56
=9/28
B |
Express a speed of 63 kmph in meters per second? | [
"A.10 mps",
"B.14 mps",
"C.17.5 mps",
"D.19.4 mps"
] | 2 | C.17.5 mps | aqua_rat | 63* 5/18 = 17.5 mps
Answer: C |
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 7:3. If 70% of the Toyota bought and 30% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase? | [
"A.76%",
"B.58%",
"C.68%",
"D.89%"
] | 1 | B.58% | aqua_rat | let total no of Vehicles bought be 100, Toyota 70 and Honda 30, so total number of SUV's bought for Toyota and Honda respectively 70* 70/100=49 and 30* 30/100=9
so total 58 SUV's were bought out of 100 Vehicles bought..so required % is 58%
ANSWER:B |
A computer store offers employees a 10% discount off the retail price. If the store purchased a computer from the manufacturer for $1200 dollars and marked up the price 10% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (10% off retail price) as opposed ... | [
"A.122",
"B.132",
"C.142",
"D.152"
] | 1 | B.132 | aqua_rat | Cost price=1200
Profit=10% =10% of 1200=120
selling price=CP+ Profit
SP=1320
a Discount of 10% to employees means 10% off on 1320
so 10% of 1320= 132
Ans B |
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time T will the job be finished? | [
"A.Noon",
"B.12:30 p.m.",
"C.1:00 p.m.",
"D.1:30 p.m."
] | 2 | C.1:00 p.m. | aqua_rat | Ans: C (1:00pm)
From 9:00-11:00c(2 hrs)
A can do 1/8 Job/hr. so in 2 hours he can do 1/4 job.
B can do 1/10 job/hr so in 2 hrs. he can do 1/5 Job.
C can do 1/12 job/hr so in 2 hours he can do 1/6 job.
Total = 1/4+1/5+1/6 = 37/60 Job
Now balance work needs to be done by B and C.
Balance Work= 23/60 Job
Combined rate of ... |
If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 4?
I. x^2
II. y^2
III. xy | [
"A.I only",
"B.II only",
"C.III only",
"D.I and II only"
] | 3 | D.I and II only | aqua_rat | 4x^2 = 3y
since x,y are positive integers, x^2 = x*x is divisible by 3 -> x is divisible by 3 and y is divisible by x^2
-> x^2 and y is divisible by 9 -> y^2 is divisible by 9
(1),(2), and (3) must be true
Answer is D |
The radius of a circle is increased by 1%. Find how much % does its area increases? | [
"A.2.21%",
"B.2.07%",
"C.2.08%",
"D.2.01%"
] | 3 | D.2.01% | aqua_rat | r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
Answer:D |
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P? | [
"A.22 km/hr",
"B.70 km/hr",
"C.77 km/hr",
"D.66 km/hr"
] | 1 | B.70 km/hr | aqua_rat | Let their speed be x km/hr and y km/he respectively.
Then, 120/(x + y) = 1 => x + y = 120 --- (i)
Now, when they move in same direction:
(Distance traveled by P in 6 hrs) - (Distance traveled by Q in 6 hrs) = 120 km
6x - 6y = 120 => x - y = 20 --- (ii)
Sloving (i) and (ii), we get x = 70, y = 50
P's speed = 70 km/hr.
A... |
A certain collage has total of 420 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? | [
"A.100",
"B.80",
"C.75",
"D.60"
] | 0 | A.100 | aqua_rat | Answer is A.
Six majors are as follows: a + b + c + d + e + f
Each has at least 20 seniors: 20 + 20 + 20 + 20 + 20 + 20
4 of the majors have 300 seniors: a + b + c +d = 300
There are a total of 420 seniors.
So e + f = 120. One of the subjects has to be 20 for the other to be maximized. If e = 20, then f = 100.
A |
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? | [
"A.100%",
"B.75%",
"C.60%",
"D.25%"
] | 3 | D.25% | aqua_rat | SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer: D |
What is the average of xx,2x2x,and 66? | [
"A.x+2",
"B.x+2x",
"C.x+2x+2",
"D.2x+2"
] | 2 | C.x+2x+2 | aqua_rat | By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or Option C |
?% of 360 = 93.6 | [
"A.277",
"B.36",
"C.26",
"D.72"
] | 2 | C.26 | aqua_rat | ?% of 360 = 93.6
or, ? = 93.6×100/360=26
Answer C |
How many ways can 5 friends be arranged around a circular dinner table? | [
"A.24",
"B.56",
"C.108",
"D.120"
] | 0 | A.24 | aqua_rat | The number of ways to order 5 people is 5!
However, around a circular table, each pattern would be repeated 5 times.
So the number of ways to seat 5 friends around a circular table is 4! = 24
The answer is A. |
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 19 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club? | [
"A. 60",
"B. 70",
"C. 100",
"D. 120"
] | 1 | B. 70 | aqua_rat | 30% of the members have passed the test, thus 70% have not passed the test.
We also know that 30+19=49 members have not passed the test, thus 0.7*Total=49 --> Total=70.
Answer: B. |
How much 60% of 50 is greater than 42% of 30? | [
"A.18",
"B.91",
"C.11",
"D.17.4"
] | 3 | D.17.4 | aqua_rat | (60/100) * 50 – (42/100) * 30
30 - 12.6 = 17.4
Answer: D |
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | [
"A.388",
"B.267",
"C.225",
"D.288"
] | 2 | C.225 | aqua_rat | Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (150 + X)/30 = 25/2 ==> 2(150 + X) = 750 ==> X = 225 m.
Answer: C |
Which of the following expressions CANNOT be equal to 0 when x^2 − 2x = 3? | [
"A.x^2 − 6x + 9",
"B.x^2 − 4x + 3",
"C.x^2 − x − 2",
"D.x^2 − 7x + 6"
] | 3 | D.x^2 − 7x + 6 | aqua_rat | E. Can x^2 − 9 = 0?
Factor to get (x + 3)(x - 3) = 0
So, (x + 3) = 0 or (x - 3) = 0
ELIMINATE E
D. Can x^2 − 7x + 6 = 0
Factor to get (x - 1)(x - 6) = 0
So, (x - 1) = 0 or (x - 6) = 0
Since we cannot conclude that (x - 3) = 0 or (x + 1) = 0, the correct answer must be D |
Find the wrong number below mentioned series
17, 600,6000,550,750 | [
"A.600",
"B.6000",
"C.17",
"D.550"
] | 2 | C.17 | aqua_rat | 17 is the only prime number or odd number in the series.
ANSWER:C |
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in | [
"A.1 13/17 hours",
"B.2 8/11 hours",
"C.3 9/17 hours",
"D.5 1/7 hours"
] | 3 | D.5 1/7 hours | aqua_rat | Solution
Net part filled in 1 hour = (1/9 + 1/6 -1/12)
= 7/36.
Therefore, the tank will be full in 36/7 hrs. ‹=› 5 1/7 hrs.
Answer D |
What is the area of a square with perimeter 16P ? | [
"A. 16p^2",
"B. 4P",
"C. P^2/4",
"D. P/16"
] | 0 | A. 16p^2 | aqua_rat | Each side is 4p
A = (4p)^2 = 16(p^2)
Answer A |
A company received $2 million in royalties on the first $10 million in sales and then $8 million in royalties on the next $100 million in sales. By what percent did the ratio of royalties to sales decrease from the first $10 million in sales to the next $100 million in sales? | [
"A.30%",
"B.40%",
"C.50%",
"D.60%"
] | 3 | D.60% | aqua_rat | First find out (ratio of royalties to sales):
2:10 First
0.2
8:100 Second
0.08
Decrease = 0.2-0.08 = 0.12
Percent = (0.12/0.20) = 60%.
ANSWER:D |
If the productivity of a brigade grows by 40% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? | [
"A.1.51",
"B.0.82",
"C.1.2",
"D.1.21"
] | 0 | A.1.51 | aqua_rat | B = 10-men brigade
p = increase in the productivity = 40%
Solution: B x p = B x 1.4 = 1.4B -------> the productivity of 11 men brigade
1.4B x p = 1.4B x 1.1 = 1.51B -----> the productivity of 12 men brigade
The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.51B/B = 1.51
A |
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is? | [
"A.337500 m",
"B.300000 m",
"C.153600 m",
"D.33750 m"
] | 3 | D.33750 m | aqua_rat | Perimeter = Distance covered in 5 min. = (9000 x 5)/60 m = 750 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 750 or x = 75.
Length = 225 m and Breadth = 150 m.
Area = (225 x 150) m2 = 33750 m
D |
If five chimpanzee can eat five mangoes in five minutes.
How many minutes would it take for four chimpanzee to eat four mangoes ? | [
"A.5 minutes",
"B.10 minutes",
"C.8 minutes",
"D.14 minutes"
] | 0 | A.5 minutes | aqua_rat | A
5 minutes |
In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is −4, how many of the numbers in the sequence are positive? | [
"A.None",
"B.One",
"C.Two",
"D.Three"
] | 3 | D.Three | aqua_rat | Non - Negative ( zero to positive infinity )
Solution to the question :
-4,-3,-2,-1,0 , 1,2,3
Hence ans is 3 ..option D |
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 22 white marbles. How many red marbles could be in bag A? | [
"A.1",
"B.3",
"C.4",
"D.2"
] | 3 | D.2 | aqua_rat | # of Red marbles in Bag A can be either 2 or 6. No 2 in the choices, so 6. D.
Bag A:
R:W:B = 2:6:9
Bag B
R:W = 1:4
6X + 4Y = 22 i.e 3X + 2Y = 11
X has to be odd to make an odd sum from the eq.
X = 1 , Y = 4 OR X = 3, Y = 1
So R can be 2X i.e 2 or 6.
Answer D |
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is? | [
"A.33",
"B.77",
"C.48",
"D.99"
] | 2 | C.48 | aqua_rat | D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer:C |
Three candidates contested an election and received 1136, 7636 and 15000 votes respectively. What percentage of the total votes did the winning candidate get? | [
"A.46%",
"B.63%",
"C.74%",
"D.63%"
] | 1 | B.63% | aqua_rat | B
15000/(1136 + 7636 + 15000) = 63%. |
If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number ... | [
"A.III",
"B.II",
"C.I",
"D.I,II"
] | 0 | A.III | aqua_rat | 2/10 (20%) of the members are women and 2/8 of the members are married men. Let the total numbers of members is 80 (the LCM of 10 and 8). Then there are:
2/10*80 = 16 women;
80 - 16= 64 men;
2/8*64 = 16 married men;
64 - 16 = 48 unmarried men.
So, only option III is true.
Answer: A |
A and B are two stations 125km apart. A train starts from A at 6a.m. and travels towards B at 50kmph. Another train starts from B at 7a.m. and travels towards A at 25kmph. At what time do they meet? | [
"A.7a.m.",
"B.8a.m.",
"C.9a.m.",
"D.9.30a.m."
] | 1 | B.8a.m. | aqua_rat | Suppose they meet x hours after 6 a.m.
Distance moved by first train in x hours + distance moved by 2nd train in x-1 hrs = 125
50x+25(x-1) = 125
x = 2hr
So they meet 2hr after 6a.m. is at 8a.m.
Answer is B |
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A rectangle has a center at (1, 2) and width (x), length (y), 6", 4", respectively. Some points, such as the center (1, 2), are inside the rectangle, but a point such as (4, 2) is on the rectangle, but not in the rectangle. How many lattice... | [
"A.7",
"B.71",
"C.72",
"D.17"
] | 3 | D.17 | aqua_rat | The lattice points that are in the rectangle can be calculated as follows: divide the rectangle into 4 quadrants. Now we solve for one quadrant, multiply by 4, and subtract the repeating points along the vertical and horizontal lines that lie along the center point.
For one quadrant we have:
vertical = (1, 2), (1, 3),
... |
A password of a computer used three digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero? | [
"A.1/32",
"B.1/16",
"C.1/8",
"D.2/5"
] | 2 | C.1/8 | aqua_rat | We have three digits can be used for password -0,2,3,5,7.
Assuming that the numbers can be repeated any number of times in the password, probability of selecting any one of them is 5/10 (out of 10 digits from 0-9)
So, 5/10 * 5/10 * 5/10 =1/8 (C) |
A boy can reach a certain place in 30 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed. | [
"A.3 km/hr.",
"B.6 km/hr",
"C.8 km/hr",
"D.14 km/hr"
] | 0 | A.3 km/hr. | aqua_rat | Explanation :
Solution: Let the speed be x km/hr. then,
30x - (30 * 29x/30) = 3
=> x = 3 km/hr.
Answer : A |
A money lender lent a total of $1400 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1400, how much did he lend to each of the two customers? | [
"A.700; 1100",
"B.938; 462",
"C.1000; 800",
"D.1200; 800"
] | 1 | B.938; 462 | aqua_rat | The method given above is the one given in the book.
However the method I used was
(1*x*5)/100 + (1400-x)*6/100 = 1400*5.67/100
Simplifying we get x=462
B |
A man can row with a speed of 20 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is? | [
"A.28",
"B.26",
"C.31",
"D.87"
] | 2 | C.31 | aqua_rat | M = 20
S =11
DS = 20 + 11
=31
Answer: C |
A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit | [
"A.3",
"B.4",
"C.5",
"D.6"
] | 1 | B.4 | aqua_rat | 954
-459
---------
495
Rearrenge=954
ANSWER:B |
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interes... | [
"A.40%",
"B.30%",
"C.20%",
"D.10%"
] | 0 | A.40% | aqua_rat | Explanation:
Let the sum be x
Simple interest on x for 2 years = Rs.2000
Simple interest = PRT/100
2000 = x × R × 2100
⇒ x R = 100000 --- (1)
Compound Interest on x for 2 years = 2400
P(1+R/100)T − P = 2400
x (1+R/100)2 − x = 2400
x (1 +2R/100+R210000)−x=2400x(2R100+R210000)=2400
2xR/10... |
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