RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A company has 17 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
A.2380
B.2400
C.2420
D.2440
Answer: A.2380
Explanation: 17C4=2380
The answer is A.
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A.3 : 5 : 2
B.3 : 5 : 5
C.6 : 10 : 5
D.5:8:10
Answer: C.6 : 10 : 5
Explanation: Let the initial investments of A and B be 3x and 5x.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 50% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
A. 36%
B. 60%
C. 66%
D. 75%
Answer: D. 75%
Explanation: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.5*0.5 = 0.25. So, the probability that he will be able to attend is 1 - 0.25 = 0.75.
Answer: D.
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $10 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
A.$9.00
B.$8.50
C.$11.00
D.$13.50
Answer: B.$8.50
Explanation: CP(15000 tires) = $22500 +($10×15000) =$172500
SP (15000 tires) = $20×15000 = $300000
Profit = SP-CP
= $300000-$172500= $127500
PROFIT/TIRE = $127500/15000 = $8.50
Answer B
Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 45 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
A.5:00
B.5:34
C.5:42
D.6:34
Answer: D.6:34
Explanation: C1 loses 15 minutes every hour. So after 60 minutes have passed, C1 displays that 60-15 = 45 minutes have passed.
C2 gains 15 minutes for every 60 minutes displayed on C1. Thus, the time displayed on C2 is 75/60 = 5/4 the time displayed on C1. So after 60 minutes have passed, C2 displays the passing of (5/4 * 45) minutes.
C3 loses 20 minutes for every 60 minutes displayed on C2. Thus, the time displayed on C3 is 40/60 = 2/3 the time displayed on C2. So after 60 minutes have passed, C3 displays the passing of (2/3 * 5/4 * 45) minutes.
C4 gains 20 minutes for every 60 minutes displayed on C3. Thus, the time displayed on C4 is 80/60 = 4/3 the time displayed on clock 3. So after 60 minutes have passed, C4 displays the passing of 4/3 * 2/3 * 5/4 * 45 = 50 minutes.
C4 loses 10 minutes every hour.
In 6 hours, C4 will lose 6*10 = 60 minutes = 1 hour.
Since the correct time after 6 hours will be 6pm, C4 will show a time of 6-1 = 6:34pm.
The correct answer is D.
Question: A man can row his boat with the stream at 22 km/h and against the stream in 10 km/h. The man's rate is?
A.1 kmph
B.2 kmph
C.7 kmph
D.6 kmph
Answer: D.6 kmph
Explanation: DS =22
US =10
S = ?
S = (22 - 10)/2 = 6 kmph
Answer:D
Question: There are 99 birds on the roof.
suddenly all birds fly away.
some birds fly to east.
birds fly to west is twice of that of east.
birds fly to north is twice of that of west.
Birds flies to south is same as in north.
Find the no. of birds fly in all diections.
A.99
B.89
C.79
D.84
Answer: A.99
Explanation: east= x
west= 2x
north= 4x
south=4x
x+2x+4x+4x=99
11x=99
x=9
east= 9
west= 18
north = south=36
ANSWER:A
Question: At a summer camp with 1,800 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,800 campers will the 8- to 12-year-olds represent?
A.68%
B.66%
C.66 2/3%
D.60%
Answer: C.66 2/3%
Explanation: Total - 1,800 participants
campers are aged 8 to 12 = (1/2)*1800 = 900
Next year, campers are aged 8 to 12 = (4/3)*900 = 1200
Percentage = (1200/1800)*100 = 66 2/3%
Answer: Option C
Question: John and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but John is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
A.45
B.50
C.55
D.60
Answer: A.45
Explanation: let x=length of pool
at first meeting, combined distance=x
at second meeting, combined distance=3x
if andy swims 18.5 m of x, then he will swim 3*18.5=55.5 m of 3x
andy's total distance to second meeting=x+10.5 m
x+10.5=55.5 m
x=45 m
A
Question: If a town of 75,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
A.a.76000
B.b.77000
C.c.78000
D.d.79000
Answer: A.a.76000
Explanation: 1% is quite small and hence the answer is A)
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A.9 min
B.10 min
C.11 min
D.12 min
Answer: B.10 min
Explanation: 4/12 + x/15 = 1
x = 10
ANSWER:B
Question: The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
A.23
B.20
C.12
D.128
Answer: A.23
Explanation: Let the numbers be x and y.
Then, xy = 120 and x2 + y2 = 289.
(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529
x + y = 529 = 23.
ANSWER A
Question: If the digits 29 in the decimal 0.00029 repeat indefinitely, what is the value of (10^5-10^3)(0.00029)?
A.2.9e-06
B.2.9e-05
C.0.0029
D.29
Answer: D.29
Explanation: 99*0.29=28.71 approx. 29
Answer : D
Question: By selling an article at Rs.600, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
A.s.360
B.s.480
C.s.500
D.s.450
Answer: A.s.360
Explanation: SP = 600
Profit = 25%
CP = (SP)*[100/(100+P)]
= 600 * [100/125]
= 480
Loss = 25% = 25% of 480 = Rs.120
SP = CP - Loss = 480 - 120 = Rs.360
ANSWER:A
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
A.2
B.3
C.4
D.1
Answer: A.2
Explanation: Amount = (30000 + 4347) = Rs. 34347
Let the time be n years. Then,
30000(1 + 7/100)n = 34347
= (107/100)n = 34347/30000 = (107/100)2
n = 2 years.
ANSWER:A
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/2 of an hour late than usual. What is his usual time to reach office?
A.1 1/4 hour
B.1 1/2 hour
C.1 1/3 hour
D.1 1/5 hour
Answer: B.1 1/2 hour
Explanation: Speed Ratio = 1:3/4 = 4:3
Time Ratio = 3:4
1 -------- 1/2
3 --------- ?
=> 1 1/2 hour
ANSWER:B
Question: By selling 15 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?
A.8
B.7
C.9
D.4
Answer: C.9
Explanation: 75% --- 12
125% --- ?
75/125 * 15
= 9
Answer:C
Question: Out of 40 consecutive integers, two are chosen at random. Find the probability that their sum is odd?
A.21/40
B.19/39
C.21/39
D.20/39
Answer: D.20/39
Explanation: Forty consecutive integers will have 20 even and 20 odd integers. The sum of 2 chosen integers will be odd, only if:
First is even and second is odd
First is odd and second is even
Mathematically the probability will be given by:
P(First is even) * P(Second is odd) + P(First is odd) * P(Second is even)
= (20/40) * (20/39) + (20/40) * (20/39)
= 20/39 answer :D
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
A.3
B.4
C.7
D.8
Answer: C.7
Explanation: (C)
Required remainder = remainder by (13 +11)/17 = 7
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.28
B.27
C.40
D.99
Answer: C.40
Explanation: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100
= 40%
Answer:C
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability Q that the game will end after the fourth throw?
A.1/16
B.3/32
C.1/8
D.3/16
Answer: C.1/8
Explanation: Another approach:
Two likely scenarios would be : HHTH or THTH
for each of the scenarios probability would be 1/16
So Probablilty Q is 1/16 + 1/16 = 1/8=C
Question: From the sale of sleeping bags, a retailer made a gross profit of 12% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
A.3.0
B.3.36
C.24.64
D.25.0
Answer: D.25.0
Explanation: Cost price * 1.12 = Selling price --> Cost price * 1.12 = $28 --> Cost price = $25.
Answer: D.
Actually even without any math only C and D make any sense, but since 24.64 * 1.12 won't be an integer ($28) then only answer choice D remains.
Question: Of the three digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?
A.90
B.82
C.80
D.45
Answer: C.80
Explanation: Three digit number can have only following 3 patterns:
A. all digits are distinct;
B. two are alike and third is different;
C. all three digits are alike.
We need to calculate B. B=Total - A - C
Total numbers from 700 to 999 = 299 (3-digit numbers greater than 700);
A. all digits are distinct = 3*9*8=216 (first digit can have only three values 7, 8, or 9);
C. all three are alike = 3 (777, 888, 999).
So, 299-216-3=80.
Answer: C.
Question: 19/38 = 4/8 . which method did you use to determine whether this proportion is true or false?
A.true
B.neutral
C.false
D.not sure
Answer: A.true
Explanation: 19/38= 4/8 cross multiplication: 19 *8 = 152, 4* 38 = 152,
we see that 152 are not equal to 81. so there is proportion. corrcet answer: (A)
Question: What is the area of a square field whose diagonal of length 20 m?
A.300 sq m
B.250 sq m
C.200 sq m
D.400 sq m
Answer: C.200 sq m
Explanation: Explanation:
d2/2 = (20 * 20)/2 = 200
ANSWER IS C
Question: Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?
A.£ 300
B.£ 330
C.£ 360
D.£ 420
Answer: B.£ 330
Explanation: 7week=300+holiday
1 week= (300+ holiday)/7
4 week =(300+ hliday)*4/7-- eqn1
bt 4 week = 30 + holiday(given)--eqn2
equate eqn 1 and eqn 2 to get th ecost of holiday=330
ANSWER:B
Question: A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?
A.knx
B.k⁄n
C.x
D.kx⁄n
Answer: D.kx⁄n
Explanation: Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n
Answer D
Question: If a, b, and c are positive integers such that a is divisible by b, and c is divisible by a, which of the following is NOT necessarily an integer?
A.(a + c)/b
B.(c - a)/b
C.ca/b
D.(c + b)/a
Answer: D.(c + b)/a
Explanation: a=bx.........(1)
c=aY.........(2)
a. (A+C)/B = (bx+ay)/b = (bx+ bxy)/b =x+xy=integer
b. (c-a)/b = (ay-a)/b = a(y-1)/b = bx(y-1)/b = integer.
similarly
All options were integer except D.
d.(c+b)/a
ay+b)/a .....not integer......
Ans D
Question: Four years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
A.14
B.17
C.29
D.31
Answer: A.14
Explanation: Let present age of P and Q be 3x3x and 4x4x respectively.
Ten years ago, P was half of Q's age
â‡’(3xâˆ’4)=1/2(4xâˆ’4)
â‡’6xâˆ’8=4xâˆ’4
â‡’2x=4
â‡’x=2
Total of their present ages
=3x+4x=7x=7Ã—2=14
A
Question: If the two hands in a clock are 2 minutes divisions apart,then the angle between them is
A.3Â°
B.12Â°
C.24Â°
D.60Â°
Answer: B.12Â°
Explanation: In a clock, each minute makes 6Â°
âˆ´ 2 minutes will make 6 Ã— 2 = 12Â°
Answer B
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg. How much amount did he pay to the shopkeeper?
A.A)1040
B.B)1145
C.C)1055
D.D)1060
Answer: B.B)1145
Explanation: Cost of 8 kg apples= 70 × 8 = 560.
Cost of 9 kg of mangoes = 65 × 9 = 585.
Total cost he has to pay = 560 + 585 = 1145.
B)
Question: The perimeter of a rectangle is 60 mete(132)7 × (132)? = (132)11.5.
A.3
B.3.5
C.4
D.4.5
Answer: D.4.5
Explanation: 7+x=11.5
x=11.5-7
x=4.5
ANSWER:D
Question: 122 * 252 - 12234 = ?
A.15310
B.18870
C.24510
D.18510
Answer: D.18510
Explanation: D
? = 122 * 252 - 12234
= 30744 - 12234
= 18510
Question: Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?
A.10 1/10 days
B.18 1/10 days
C.7 1/10 days
D.8 1/10 days
Answer: D.8 1/10 days
Explanation: 1/12 + 1/25 = 37/300
300/37 = 8 1/10 days
ANSWER:D
Question: The original price of a television is 350$. What percent of the original price has been taken off if the retailer offers a discount of 122,50$ on the television?
A.35%
B.30%
C.40%
D.45%
Answer: A.35%
Explanation: Explanation :
Total cost of the television: 350
Required percentage = (122,5/350) Ã— 100 = 35%
Answer : Option A
Question: There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?
A.1950
B.2000
C.1980
D.1580
Answer: C.1980
Explanation: Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980
Answer: C
Question: The sum of two numbers is 45. The sum of their quotient and is reciprocal is 2.05, the product of the numbers is?
A.300
B.400
C.500
D.600
Answer: C.500
Explanation: a + b = 45
a/b+b/a = 2.05
=>(a^2+b^2)/ab = 2.05
=>((a+b)^2−2ab)/ab=2.05
=>(a+b)^2 = 2.05ab + 2ab = 4.05ab
=> ab = 45^2 / 4.05 = 500
ANSWER:C
Question: 4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
A.4
B.6
C.16
D.24
Answer: B.6
Explanation: it is like a circular arrangement.
total ways for n people to arrange in a circle is = factorial (n-1)
in this case n= 4
hence ans = 3 factorial = 6
hence B
Question: A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is
A.4 km
B.8 km
C.6 km
D.12 km
Answer: D.12 km
Explanation: Let D is the distance travelled. Then,
D/(9+3) + D/(9-3) = 3 => D = 12
Answer: D
Question: A 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.550
B.289
C.350
D.882
Answer: A.550
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 51 = 50/3
3(x + 300) = 2550 è x = 550m.
Answer: A
Question: A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
A.567
B.687
C.729
D.790
Answer: C.729
Explanation: Choose 5 starters from a team of 12 players. Order is not important.
\inline {\color{Black} 12C_{5}}= 729
C
Question: A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 210 pounds of the mixture ?
A. 150
B. 84
C. 40
D. 28
Answer: A. 150
Explanation: Almonds : Walnuts = 5 : 2
Total mixture has 7 parts
In a 210 pound mixture, Almonds are 5/7 (total mixture)
= 5/7 * 210 = 150 pounds
Answer (A)
Question: 12.5% of 192 = 50% of ?
A.48
B.96
C.24
D.None of these
Answer: A.48
Explanation: Answer
Let 12.5% of 192 = 50% of A,
⇒(12.5 x 192) / 100 = (50 x A) / 100
∴ A = (12.5 x 192) / 50 = 48
Correct Option: A
Question: Which of the following fractions is smaller twice greater than 9/50?
A.2/5
B.10/34
C.43/99
D.8/21
Answer: B.10/34
Explanation: Answer B
9/50=0.18
10/34=0.2941 which is 0.01 smaller than two times of 0.18
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
A.686
B.672
C.652
D.642
Answer: A.686
Explanation: 8 * 87 = 696 – 10 = 686
ANSWER:A
Question: Mary's income is 50 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
A. 124%
B. 120%
C. 96%
D. 90%
Answer: D. 90%
Explanation: Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 90 (50 percent more than Tim's income).
Thus, Mary's income (90) is 90% of Juan's income (100).
Answer: D.
Question: The number of girls in a class are 7 times the number of boys, which value can never be the of total students
A.40
B.48
C.24
D.30
Answer: D.30
Explanation: Explanation:
Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
Option D
Question: Shankar got 66, 83, 77, 68, 86 marks (out of 100) in English, Maths, physics, Biology and Chemistry. What are his average marks?
A.76
B.69
C.72
D.64
Answer: A.76
Explanation: Explanation :
solution: 66 + 83 + 77 + 68 + 86/ 5= 76
Answer : A
Question: The speed of a train is 64 kmph. What is the distance covered by it in 9 minutes?
A.10 kmph
B.11 kmph
C.88 kmph
D.18 kmph
Answer: A.10 kmph
Explanation: 64 * 9/60
= 9.6 kmph
Answer:A
Question: Ron begins reading a book at 3: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 5: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
A.7: 30 p.m.
B.7: 15 p.m.
C.7: 45 p.m.
D.8: 00 p.m.
Answer: A.7: 30 p.m.
Explanation: M gains 50-30=20 pages per hour on R
at 5pm R has read 45 pages and M is 45+5=50 pages behind him
time=50/20=2.5 hours
they are on the same page at 7:30pm
A
Question: In Country Z, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
A. 50% decrease
B. 30% decrease
C. 15% decrease
D. 30% increase
Answer: B. 30% decrease
Explanation: Country Z 1992 1996
No of construction workers 100 120
Unemployment Rate 16% 9%
Unemployed workers 16 11
% change in unemployed workers=(16-11)=5/16=~33% decrease
Closest ans=30% decrease
Ans=B
Question: If 378 coins consist of rupee, 50 paise and 25 paise coins, whose values are proportional to 13 :11 : 7, the number of 50 paise coins will be :
A.128
B.132
C.133
D.136
Answer: B.132
Explanation: If values are proportional to 13 : 11 : 7, then the number of coins will be proportional to 13/1 : 11/0.50 : 7/0.25 ⇒ 13 : 22 : 28. Now from this the number of coins of 50 paise will be 378 × 22/63 = 132.
Answer: B
Question: 12 buckets of water fill a tank when the capacity of each bucket is 55 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
A.142
B.130
C.132
D.123
Answer: C.132
Explanation: Capacity of the tank = (12Ã— 55) litre
Number of buckets required of capacity of each bucket is 17 litre = 12Ã—55/5=12Ã—11=132
Answer is C
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 3600 interest. The principal amount borrowed by him was.
A.Rs 10000
B.Rs 15000
C.Rs 16000
D.Rs 17000
Answer: A.Rs 10000
Explanation: Explanation:
S.I.=Pâˆ—Râˆ—T/100
=>P=S.I.âˆ—100/Râˆ—T
=>P=3600âˆ—100/12âˆ—3=Rs10000
Option A
Question: A train covers a certain distance at a speed of 230kmph in 4 hours. To cover the same distance in 2 2/3 hours, it must travel at a speed of
A.220km/hr
B.320km/hr
C.345km/hr
D.450km/hr
Answer: C.345km/hr
Explanation: Explanation:
Distance = 230Ã—4 = 920km
Required speed = (920Ã— 3/8) = 345km/hr
Answer: Option C
Question: What is the smallest five digit number that is divisible by 16, 36, 40, and 54?
A.10200
B.10500
C.10800
D.11000
Answer: C.10800
Explanation: 16 = 2^4
36 = 2^2 * 3^2
40 = 2^3 * 5
54 = 2 * 3^3
LCM = 2^4 * 3^3 * 5 = 2160
The smallest five-digit number that is a multiple of 2160 is 5*2160 = 10,800
The answer is C.
Question: 15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container Q?
A.A:45
B.B:25
C.C:37.5
D.D:36
Answer: C.C:37.5
Explanation: If you have a 37.5 liter capacity, you start with 37.5 L of A and 0 L of B.
1st Replacement
After the first replacement you have 37.5-15=22.5 L of A and 15 L of B. The key is figuring out how many liters of A and B, respectively, are contained in the next 15 liters of mixture to be removed.
The current ratio of A to total mixture is 22.5/37.5; expressed as a fraction this becomes (45/2) / (75/2), or 45/2 * 2/75. Canceling the 2s and factoring out a 5 leaves the ratio as 9/15. Note, no need to reduce further as we're trying to figure out the amount of A and B in 15 L of solution. 9/15 of A means there must be 6/15 of B.
Multiply each respective ratio by 15 to get 9 L of A and 6 L of B in the next 15L removal.
Final Replacement
The next 15L removal means 9 liters of A and 6 liters of B are removed and replaced with 15 liters of B. 22.5-9=13.5 liters of A. 15 liters of B - 6 liters + 15 more liters = 24 liters of B.
Test to the see if the final ratio = 9/16; 13.5/24 = (27/2) * (1/24) = 9/16. Choice C is correct.
Question: An article is bought for Rs.675 and sold for Rs.945, find the gain percent?
A.40%
B.33 8/3%
C.33 1/3%
D.33 2/3%
Answer: A.40%
Explanation: 675 ---- 270
100 ---- ? => 40%
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.288
B.240
C.277
D.127
Answer: B.240
Explanation: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer: B
Question: There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
A.120
B.720
C.1,060
D.1,620
Answer: D.1,620
Explanation: Answer is E. Can somebody tell me what answer I may have found if I had added the 10C2 and 9C2 (45+36=81)?
I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?
D
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 4% p.a. was Rs.326.40. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
A.Rs.4326.40
B.Rs.4236.40
C.Rs.4136.40
D.Rs.4316.40
Answer: A.Rs.4326.40
Explanation: Let the sum be Rs.P
P{ [ 1 + 4/100]2 - 1 } = 326.40
P(4/100)(2 + 4/100) = 326.40 [a2 - b2 = (a - b) ( a + b)] P = 326.40 / (0.04)(2.04) = 4000 Amount =4000+326.40=4326.40 Answer : A