RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A and B together can do a work In 8 days. A alone can do it in 12 days. What time B will take to do the work alone?
A.6 days
B.8 days
C.12 days
D.24 days
Answer: D.24 days
Explanation: Explanation:
A and B 1day's work = 1/8
A alone can do 1day's work = 1/12
what time B will take to do the work alone?
B = (A+B) - A = (1/8) - (1/12) = 24 Days
Answer: Option D
Question: The average age of a man and his son is 28 years. The ratio of their ages is 3 :1 respectively. What is the man's age ?
A.30 years
B.38 years
C.44 years
D.42 years
Answer: D.42 years
Explanation: Total sum of man’s age & his son’s age =28 × 2 = 56 Now, the Ratio of their ages is 3 : 1.Therefore, Man’s age = (3/4) × 56 = 42
So, the correct answer is option D.
Answer: D
Question: In an election between two candidates, the winner has a margin of 20% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election?
A.15000
B.20000
C.30000
D.60000
Answer: A.15000
Explanation: Winner - Looser
60% - 40%
If 3000 people change their mind and vote for the loser:
Winner - Looser
40% - 60%
Thus 3,000 people compose 20% of all voters, which means that the total number of votes is 15,000.
Answer: A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A.28%
B.40%
C.64.8%
D.76.5%
Answer: D.76.5%
Explanation: original price = 100
day 1 discount = 10%,price = 100-10 =90
day 2 discount = 10%,price = 90-9=81
day 3 discount = 15%,price = 81-12.15= 68.85
which is 68.85/90 *100 of the sale price on day 1= ~76.5%
Answer D
Question: A shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
A.40 %
B.90 %
C.33 %
D.35 %
Answer: A.40 %
Explanation: The total number of mangoes bought by the shopkeeper be 35.
If he buys 7 a rupee, his CP = 5
He selling at 5 a rupee, his SP = 7
Profit = SP - CP = 7 - 5 = 2
Profit Percent = 2/5 * 100 = 40 %
Answer:A
Question: If x is odd and y is odd, then xy,
A.Odd
B.Odd whenever x-y is even
C.Even whenever x+y is odd
D.Even
Answer: A.Odd
Explanation: x is odd and y is odd, then xy is
Let's take x=7 and y=3.
x*y=7*3=21.
x*y=odd.
Option: A
Question: find S.P when CP=56.25,gain=20%.
A.Rs 66.50
B.Rs 65.50
C.Rs 67.50
D.Rs 69.50
Answer: C.Rs 67.50
Explanation: SP =20% of Rs 56.25 ,=Rs{(120/100)*56.25}=Rs67.50
Answer is C
Question: A famous film director thought of an interesting story and he made a film in Hindi, Tamil and Telugu. He release the movie at the same time in all the three languages. The movie had Dhanush, Kamalhasan, Sruthi Hasan and Akdhsay Bachchan in lead role. The collections made was interesting to study. Collections in Hindi to Tamil and Tamil to Telugu was in the ratio 5: 4. If the collection made in language Tamil alone was Rs. 19753080, what was the total collection made.
A.Rs.60246894
B.Rs.26024689
C.Rs.22602468
D.Rs.22602469
Answer: A.Rs.60246894
Explanation: making them in equal proportion of Hindi:Tamil:Telugu=25:20:16
and given 20x=19753080 so, x=987654
so, total collection is 61*x=60246894
ANSWER:A
Question: A man invests some money partly in 15% stock at 105 and partly in 8% stock at 40.To obtain equal dividends from both,he must invest the money in the ratio :
A.3 : 4
B.3 : 5
C.7 : 5
D.16 : 15
Answer: C.7 : 5
Explanation: Solution
For an income of Rs. 1 in 15% stock at 105, investment = Rs. (105/15)= Rs. 7.
For an income of Rs. 1 in 8% stock at 40, investment = Rs.(40/8) = Rs. 5.
∴ Ratio of investments = 7:5 =7:5
Answer C
Question: John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam three years ago?
A.2
B.3
C.6
D.8
Answer: B.3
Explanation: j= 3s
after 6 years
j +6 = 2(s+6)
j= 2s+6
2s +6 = 3s
s= 6
three years ago
s= 6-3= 3
B is the answer
Question: A distributor sells a product through an on-line 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 $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 30% profit on the cost of the item?
A.18
B.21.6
C.22
D.25.7
Answer: D.25.7
Explanation: Producer price = $15;
The distributor wants to maintain a 20% profit on the cost of the item, thus he must get $15*1.2 = $18 after the store takes a commission of 30% of the final price --> (final price)*0.7 = $18 --> (final price) = $25.7.
Answer: D.
Question: 169, 289, 361, 529, 841, ?, F ind the missing number(?).
A.930
B.789
C.961
D.920
Answer: C.961
Explanation: The series consists of squares of consecutive PRIME numbers.
Answer : C.
Question: The price of an item is discounted 2 percent on day 1 of a sale. On day 2, the item is discounted another 12 percent, and on day 3, it is discounted an additional 25 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A.66%
B.67.5%
C.69%
D.70%
Answer: A.66%
Explanation: Let initial price be 1000
Price in day 1 after 2% discount = 980
Price in day 2 after 12% discount = 862.4
Price in day 3 after 25% discount = 646.8
So, Price in day 3 as percentage of the sale price on day 1 will be = 646.8/980*100 => 66%
Answer will definitely be (A)
Question: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
A.720
B.360
C.1420
D.1680
Answer: D.1680
Explanation: Explanation :
The first two places can only be filled by 3 and 5 respectively and there is only 1 way
of doing this
Given that no digit appears more than once. Hence we have 8 digits remaining(0,1,2,4,6,7,8,9)
So, the next 4 places can be filled with the remaining 8 digits in 8P4 ways
Total number of ways = 8P4 = 8 x 7 x 6 x 5 = 1680. Answer : Option D
Question: Two employees M and N are paid a total of $572 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
A.$220
B.$240
C.$260
D.$300
Answer: C.$260
Explanation: 1.2N + N = 572
2.2N = 572
N = 260
The answer is C.
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
A.9:6:6
B.9:7:4
C.9:6:6
D.9:6:4
Answer: D.9:6:4
Explanation: A:B = 1/2:1/3 = 3:2
B:C = 1/2:1/3 = 3:2
--------------------
A:B:C = 9:6:4
Answer: D
Question: Two cycles are standing side-by-side. One cycle, which is 2.5 feets tall, casts a shadow that is 5
feets long. The other cycle is 2 feets tall. Compute, in feets, the length of the shadow that
the shorter cycle casts.
A.3
B.4
C.6
D.8
Answer: B.4
Explanation: The ratio of shadow to height is constant, so if x is the length of the shadow, then
2.5/5 = 2/x and x = 4 .
correct answer B
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.677 m
B.456 m
C.500 m
D.663 m
Answer: C.500 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: C
Question: Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel two times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
A.4
B.3
C.8
D.9
Answer: B.3
Explanation: W: the time for Wyane to do the job
S: the time for his son to do the job
We have 1/W + 1/S = 1/2 and W = 2S
Then we have 1/(2*S) + 1/S = 1/2 <=> 3/(2*S) = 1/2<=> S = 3
ANS: B
Question: A number when divided by a certain divisor left remainder 245, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
A.378
B.365
C.380
D.456
Answer: A.378
Explanation: Easy solution:
N= Dq1+245
2N = 2Dq1 + 490 - (1)
2N = Dq2 + 112 - (2)
As (1) = (2) = 2N
D*(q2-2q1) = 378
D * Some integer = 378
Checking all options only (A) syncs with it.
Answer A
Question: The cost price of 20 arƟcles is the same as the selling price of x arƟcles. If the profit is 25%, find out
the value of x
A.13
B.14
C.15
D.16
Answer: D.16
Explanation: Explanation:
Let the Cost Price of one arƟcle = Rs. 1
CP of x articles = Rs. x
CP of 20 articles = 20
Selling price of x articles = 20
Profit = 25% [Given]
⇒
(SP−CPCP)=25100=14
⇒
(20−x)x=14
⇒
80−4x=x
⇒
5x=80
⇒
x=805=16
Answer: D
Question: In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate
A.356000
B.356500
C.357000
D.400000
Answer: C.357000
Explanation: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 75 %
Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000
= 75/100 × 476000
= 35700000/100
= 357000
C)
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.276 m
B.167 m
C.245 m
D.167 m
Answer: C.245 m
Explanation: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time
= 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(130 + x) = 750 => x
= 245 m.
Answer:C
Question: What is the area of a square field whose diagonal of length 10 m?
A.50
B.70
C.60
D.20
Answer: A.50
Explanation: d2/2 = (10 * 10)/2
= 50
Answer:A
Question: Find the sum of all odd numbers up to 100.
A.2500
B.2400
C.2300
D.2200
Answer: A.2500
Explanation: The given numbers are 1, 3, 5, 7, ..., 99.
This is an A.P. with a = 1 and d = 2.
Let it contain n terms. Then,
1 + (n - 1) x 2 = 99 or n = 50.
Required sum = n/2 (first term + last term)
= 50/2 (1 + 99) = 2500.
Answer is A.
Question: If xy ≠ 0 and x^2y^2 − 2xy = 8, which of the following could be y in terms of x?
I. 4/x
II. -x/2
III. 3/x
A.I only
B.II only
C.I and II
D.I and III
Answer: A.I only
Explanation: (x^2)(y^2) – 2xy - 8 = 0
(xy – 4)(xy + 2) = 0
xy – 4 = 0 or xy + 2 = 0
xy = 4 or xy = -2
Since we need y in terms of x, we can isolate y in both of our equations.
y = 4/x or y = -2/x
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 560 sq. feet, how many feet of fencing will be required?
A.34
B.40
C.68
D.76
Answer: D.76
Explanation: Given that length and area, so we can find the breadth.
Length x Breadth = Area
20 x Breadth = 560
Breadth = 28 feet
Area to be fenced = 2B + L = 2 (28) + 20 = 76 feet answer : D
Question: If 1/(n – 2) = 1/(n + 2) + 1/(n – 1), which of the following is a possible value of n?
A.-3
B.0
C.3
D.-4
Answer: B.0
Explanation: Multiply by (n-2)*(n+2)*(n-1) throughout to get:
(n+2)*(n-1) = (n-2)*(n-1) + (n+2)(n-2)
Of the given options, only n=0 satisfies this.
Answer : B
Question: If A:B = 1/4: 1/3 B:C = 1/4:1/3 then A:B:C?
A.9:12:6
B.9:2:16
C.9:12:16
D.9:12:14
Answer: C.9:12:16
Explanation: A:B = 1/4:1/3 = 3:4
B:C = 1/4:1/3 = 3:4
--------------------
A:B:C = 9:12:16
ANSWER:C
Question: A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have?
A.$400
B.$489
C.$484
D.$365
Answer: C.$484
Explanation: (4/15)A=(2/5)B
=>A=((2/5)*(15/4))B
=>A=(3/2)B
=>A/B=3/2
A:B=3:2
B's share=rs.(1210*(2/5))=$484
Option C
Question: There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its five-fourth. What is the ratio of the first number to the second number?
A.3 : 25
B.25 : 8
C.8 : 5
D.5 : 6
Answer: D.5 : 6
Explanation: Let the two numbers be x and y.
(3/10) * x + y = (5/4) * y
(3/10) * x = (1/4) * y
x/y = 10/12 = 5/6
The answer is D.
Question: The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Solution
Let x be the length and let x - 2 be the width
Area = lenth × width = x × ( x - 2) = 24
x × ( x - 2) = 24
x2 + -2x = 24
x2 + -2x - 24 = 0
Since -24 = 4 × -6 and 4 + -6 = -2, we get:
(x + 4) × ( x + -6) = 0
This leads to two equations to solve:
x + 4 = 0 and x + -6 = 0
x + 4 = 0 gives x = -4. Reject this value since a dimension cannot be negative
x + -6 = 0 gives x = 6
Therefore, length = 6 and width = x - 2 = 6 - 2 = 4
Answer B
Question: The area of a rectangular field is 144 m2. If the length had been 6 metres more, the area would have been 54 m2 more. The original length of the field is
A.22 metres
B.18 metres
C.16 metres
D.24 metres
Answer: C.16 metres
Explanation: Let the length and breadth of the original rectangular field be x m and y m respectively.
Area of the original field = x × y = 144 m2
∴ x = 144⁄y .....(i)
If the length had been 6 m more, then area will be
(x + 6) y = 144 + 54
⇒ (x + 6)y = 198… (ii)
Putting the value of x from eq (i) in eq (ii), we get
(144⁄y + 6)y = 198
⇒ 144 + 6y = 198
⇒ 6y = 54 ⇒ y = 9m
Putting the value of y in eq (i) we get x = 16 m
Answer C
Question: If Rs.440 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
A.s.575
B.s.595
C.s.590
D.s.580
Answer: C.s.590
Explanation: 80 = (440*4*R)/100
R = 5.68%
I = (440*6*5.68)/100 = 150
440 + 150 = 590
ANSWER:C
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.8000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
A.20
B.21
C.22
D.7
Answer: D.7
Explanation: Solution
Let the toatl number of workers be x.
Then 8000x=(8000 x 7) + 6000 (x -7)
x= 7.
Answer D
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.7 yrs
B.10 yrs
C.18 yrs
D.20 yrs
Answer: C.18 yrs
Explanation: Explanation:
9 * 2 = 18 years
ANSWER C
Question: There are three foam generators in the factory, each of the first two can generate 10 liters of foam in one hour and the third can generate 16 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
A.120.
B.121
C.146.
D.154.
Answer: B.121
Explanation: Let the foam generators capacity be -
A = 10 lit/hr
B = 10 lit/hr
C = 16 lit/hr
Total foam generation in 1 hour will be 36 lit ( 10 + 10 + 16 ) ; since in 1 and 1/2 hr they will generate 36 + 18 => 54 litres...
Now one of the first generators stops working ( Say A stops working ) , so we have -
B = 10 lit/hr
C = 16 lit/hr
Total foam generation in 2 hour will be 52 litres {2 (10+16)}
The third generator stops working and now only B works for the remaining time 1 and 1/2 ( 5 - 1 and 1/2 - 2 )...
Foam generated by B will be 3/2 * 10 => 15 litres
So, total foam generated will be 121 Litres ( 54 + 52 + 15 ) ; hence answer will be (B)
Question: If the length of an edge of cube M is five times the length of an edge of cube N, what is the ratio of the volume of cube N to the volume of cube M?
A.1/125
B.1/25
C.1/5
D.1/16
Answer: A.1/125
Explanation: The length of cube N = 1;
The length of cube M = 5;
The ratio of the volume of cube N to the volume of cube M = 1^3/5^3 = 1/125
Answer : A
Question: Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A.10
B.12
C.15
D.20
Answer: B.12
Explanation: Explanation:
Speed of the first train =120/10 m/sec = 12 m/sec.
Speed of the second train =120/15 m/sec = 8 m/sec.
Relative speed = (12 + 8) = 20 m/sec.
Therefore Required time =(120+120)/20 sec = 12 sec.
ANSWER IS B
Question: Of 30 applicants for a job, 12 had at least 4 years' experience, 19 had degrees, and 6 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. 14
B. 13
C. 9
D. 7
Answer: D. 7
Explanation: set A : people with more than 4 years exp
set B : people with degree
AUB = total - (less than 4 exp and no degree)
AUB = 30-6=24
AUB = A + B - AiB
AiB = 19+12-24
=7
Answer D
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
A.16
B.19
C.15
D.22
Answer: D.22
Explanation: Let the son's present age be x years.
Then, man's present age = (x + 24) years.
(x + 24) + 2 = 2(x + 2) x + 26 = 2x + 4
=> x = .
Answer: D
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 38 with him, what was the average amount with the group before his joining the group?
A.s.17
B.s.12
C.s.15
D.s.22
Answer: A.s.17
Explanation: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 38. So, the amount with remaining 6 people = 140 - 38 = Rs. 102
The average amount with them = 102/6 = Rs.17.
Answer:A
Question: If 1*548 is divisible by 3, which of the following digits can replace *?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: Solution
1 + x + 5 + 4 + 8 = (18 + x).
Clearly, when x=0, then sum of digits divisible by 3.
Answer D
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability T that the sum of the two integers will equal 9 ?
A. 0.15
B. 0.20
C. 0.25
D. 0.30
Answer: B. 0.20
Explanation: Rearrange the first set:
A = {5,4,3,2}
B = {4,5,6,7, 8}
As you can see numbers in each column (the numbers of the same color) give the sum of 9. So there are 4 such pares possible, total # of pairs is 4*5=20. T=favorable/total=4/20=0.2.
Answer: B.
Or: we can select ANY number from set A (4/4=1) but in this case we must select its matching pair from set B (the number of the same color) and since there are only one matching pair of this particular number in B then the probability of this is 1/5. So, overall: T=1*1/5.
Answer: B.
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 10 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
A.54%
B.70%
C.75%
D.85%
Answer: A.54%
Explanation: find the product of the two increases: (1.4) * (1.1), which is 1.54 and a 54% increase.
A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
A.288
B.240
C.267
D.299
Answer: B.240
Explanation: 4a = 68 => a = 17
172 – 82 = 152
1/2 * 16 * 30 = 240
Answer:B
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 180 km/hr
A.5 seconds
B.4.5 seconds
C.3 seconds
D.2 seconds
Answer: D.2 seconds
Explanation: Explanation:
First convert speed into m/sec
Speed = 180*(5/18) = 50 m/sec
Time = Distance/speed
= 100/50 = 2 seconds
Answer: D
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
A.45.5 kg
B.50.5 kg
C.55.5 kg
D.66.5 kg
Answer: D.66.5 kg
Explanation: Let Mike's weight be X kg.
According to Mike, 65 < X < 72.
According to Mike's brother, 60 < X < 70.
According to Mike's mother, X < 68.
The values satisfying all the above conditions are 66 and 67.
Required average = (66 + 67) / 2 = 66.5 kg
D
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 37 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:56, at what time will they be reading the same page?
A.7:26
B.7:56
C.8:26
D.8:56
Answer: D.8:56
Explanation: Since Tom reads an average of 1 page every 2 minutes, Tom will read 28 pages in the first 56 minutes. Jan can catch Tom at a rate of 7 pages per hour, so it will take 4 hours to catch Tom.
The answer is D.
Question: There are 50 students in a class. If 10 % are absent on a particular day, find the number of students present in the class.
A.43
B.36
C.28
D.45
Answer: D.45
Explanation: Number of students absent on a particular day = 10 % of 50
i.e., 10/100 × 50 = 5
Therefore, the number of students present = 50 - 5 = 45 students.
Answer:D
Question: How many rectangles can be formed out of a chess board ?
A.204
B.1230
C.1740
D.1296
Answer: D.1296
Explanation: A chess board consists 9 parallel lines x 9 parallel lines.
For a rectangle we need to select 2 parallel lines and the other two parallel lines that are perpendicular to the first set.
Hence, 9C2 x 9C2 = 1296 rectangles
ANSWER:D
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A.399
B.238
C.200
D.288
Answer: C.200
Explanation: A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 200
B capital = 15000*1/6 = 2500 .Answer: C
Question: How many quarters are equal to 4 dollars?
A.16
B.8
C.12
D.9
Answer: A.16
Explanation: 4*4 = 16 quarters
Answer : A
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
A.20
B.24
C.22
D.26
Answer: C.22
Explanation: alternating no subtraction series first 2 is subtracted and then 4 and 2 so on
22 is the next one
ANSWER C
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A.5 kmph
B.1kmph
C.7 kmph
D.9 kmph
Answer: B.1kmph
Explanation: Explanation:
DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: B
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
A.10123.298
B.10123.22
C.10123.2
D.10123.21
Answer: C.10123.2
Explanation: Amount = [25000 * (1 + 12/100)3]
= 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20
C.I. = (35123.20 - 25000) = Rs. 10123.20
Answer: C
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 11.30 a.m. ?
A.7
B.5
C.9
D.17
Answer: D.17
Explanation: D
17
Relative speed = 2 + 3 = 5 rounds per hour.
So, they cross each other 5 times in an hour and 2 times in half an hour.
Hence, they cross each other 17 times before 11.30 a.m.
Question: A jar contains 10 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?
A.1/40
B.1/165
C.1/81
D.1/30
Answer: A.1/40
Explanation: Jar contains {3-red, 3-green, 3-blue} marbles. We are asked to find the probability that after removing 3 marbles only 2 colours remain in the jar, i.e., the probability of removing EITHER red, OR green, OR blue.
Sample space = 10C3 = 120.
Probability of choosing 3 red = 3C3/10C3 = 1/120.
Probability of choosing 3 green = 3C3/10C3 = 1/120.
Probability of choosing 3 blue = 3C3/10C3 = 1/120.
Required probability = 1+1+1/120 = 3/120 = 1/40. Ans (A).
Question: A,B,C together can earn $600 per day. while A and C together earn $400 and B and C together can earn $300. The daily earnings of C?
A.$100
B.$200
C.$250
D.$300
Answer: A.$100
Explanation: B's daily earnings = 600-400 = $200
A's daily earnings = 600-300 = $300
C's daily earnings = 600-200-300 = $100
Answer is A