mathewhe/aqua_rat huggingface dataset:
Question: Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors?
(A) 3/20
(B) 1/3
(C) 5/2
(D) 2/7
(E) 4/5
Rationale: Let total number of juniors= J
total number of seniors =S
(1/3) J = (4/3) S
=> S = 1/4 J
Total number of students = J+S = (5/4) J
Fraction of the students in the room are juniors = J/(J+S) = J/[(5/4) J]
=4/5
Answer E
Answer: (E) 4/5
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is
(A) Rs. 500
(B) Rs. 515
(C) Rs. 550
(D) Rs. 600
(E) None
Rationale: Solution
110% of S.P. = 616	‹=› S.P.=(616x100/110).
‹=› Rs. 560.
C.P.	‹=› Rs.(100/112 x 560)
‹=› Rs. 500.
Answer A
Answer: (A) Rs. 500
Question: k = 2^n + 3, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
(A) 2^n - 6
(B) 2^n - 2
(C) 2^n
(D) 2^n + 4
(E) 2^n + 5
Rationale: Given: k, M and N are integers
If k is a divisor of both N and M, then k is a divisor of N+M (and N–M and M–N)
We're told that 9 is a divisor of 2^n + 3
We also know that 9 is a divisor of9.
So, applying the above rule, 9 is a divisor of 2^n + 3 +9, and 9 is a divisor of 2^n + 3 -9= 2^n-6
A
Answer: (A) 2^n - 6
Question: If a new town has 100 residents, and the population doubles every 10 years, what will be its population after 75 years?
(A) 6034 residents
(B) 9051 residents
(C) 12068 residents
(D) 15075 residents
(E) 18102 residents
Rationale: 100*2^(75/10)=100*2^7.5=100*181.02=18102
The answer is E.
Answer: (E) 18102 residents
Question: The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 35, what is the greatest possible value that one of the other 2 integers can have?
(A) 55
(B) 65
(C) 100
(D) 109
(E) 129
Rationale: a + b + c + d = 200
a + b = 70
c + d = 130
Greatest possible = 129 (Just less than 1)
Answer = E
Answer: (E) 129
Question: A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors h patterns can be floor be parqueted?
(A)  104
(B)  213
(C)  3^5
(D)  705
(E)  726
Rationale: Total number of squares we need to fill = 6
Number of colors we have h= 3
Therefore, total number of patterns = 3*3*3*3*3*3 = 729
However, this is considering that we can have a case in which all tiles are the same color. Since we are given that the quantity of each tile is 5 and the number of tiles required is 6, we know that this case cannot be possible. Therefore we must subtract the cases in which all tiles will be of the same color (3 cases since there are 3 colors).
Thus our answer should be :729 - 3 = 726
Answer : E
Answer: (E)  726
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 5 of whom are females, by how much does the index for the females exceed the index for the males in the group?
(A)  0.05
(B)  0.0625
(C)  0.5
(D)  0.25
(E)  0.6
Rationale: Index for females = (20-5)/20 = 3/4 = 0.75
Index for males = (20-15/20 = 1/4 = 0.25
Index for females exceeds males by 0.75 - 0.25 = 0.5
Answer: C
Answer: (C)  0.5
Question: 10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days?
(A) 6
(B) 10
(C) 12
(D) 15
(E) 17
Rationale: Explanation :
Solution: Let the required number of hours be x.
More men, less hours per day (Indirect proportion)
Less days, more working hours per day (Indirect proportion)
men 15 : 10
} : : 6 : x
days 12 : 18
.'. 15*12*x = 10*18*6
=> x = 10*18*6/(15*12)
=> x = 6
Answer : A
Answer: (A) 6
Question: A bullet train 200 m long is running with a speed of 69 kmph. In what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going?
(A) 10 sec
(B) 15 sec
(C) 12 sec
(D) 11 sec
(E) 16 sec
Rationale: A
10 sec
Speed of the bullet train relative to man = (69 + 3) kmph
= 72 *5/18 m/sec = 60/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 200 m at (60/3) m / sec
= (200*3/60) sec = 10 sec
Answer: (A) 10 sec
Question: A box contains four silver coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
(A) 1/5
(B) 2/5
(C) 3/5
(D) 4/5
(E) 3/4
Rationale: There are four ways (2 heads in one two-headed coin and 2 heads in the other two-headed coin)
How many ways can you get heads from this entire set of coins? There are five ways (four as identified above and one from the normal coin)
Therefore probability = 4/5
Option D
Answer: (D) 4/5
Question: The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
(A) 4
(B) 5
(C) 2
(D) 7
(E) 8
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 33 kg joins the group, total weight of boys = 30x + 33
So 30x + 33 = 31(x + 1) = > x = 2.
Answer: C
Answer: (C) 2
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units G digit of (a+2)^2?
(A) 1
(B) 3
(C) 5
(D) 6
(E) C. 14
Rationale: I also got A. By punching in numers:
G...7^2=...9
...8^2=...4
...9^2=...1.A
Answer: (A) 1
Question: A train 275 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
(A) 5 sec
(B) 6 sec
(C) 15 sec
(D) 10 sec
(E) None
Rationale: Solution
Speed of train relative to man =(60+6) km/hr= 66km/hr
=(66x5/18) m/sec =(55/3) m/sec
∴ Time taken to pass the man = (275x3/55)sec = 15 sec
Answer C
Answer: (C) 15 sec
Question: Rose and Marry each have a bag of marbles, each of which contains 4 blue marbles, 10 red marbles, and 6 white marbles. If Rose and Marry each select one marble from their respective bags, what is the probability that either Rose or Marry select a red marble?
(A) 3/7
(B) 3/4
(C) 1/4
(D) 1/8
(E) 1/16
Rationale: Probability that either selects a red marble,P(Either) = 1- probability that neither selects a red marble, P(Neither)
Probability that Marry selects non red = 10c1 / 20c1 = 1/2
Probability that Rose selects non red = 10c1 / 20c1 = 1/2
=> P(Either)=1- (1/2*1/2) = 1-1/4= 3/4.
Answer B.
Answer: (B) 3/4
Question: First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is
(A) 9
(B) 10
(C) 12
(D) 15
(E) 17
Rationale: x is the no.of banana's in second bunch
first bunh banan's will be x+(1/4)x= x*5/4
If the second bunch has 3 bananas less than the first bunch
X*5/4 = x+3, X=12,
First bunch bannana's will be 15
ANSWER:D
Answer: (D) 15
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 54. What is the difference between the two digits of that number?
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
Rationale: Sol.
Let the ten’s digit be x and unit’s digit be y,
Then, (10x + y) - (10y + x) = 54 ⇔ 9 (x - y) = 54
⇔ x - y = 6
Answer C
Answer: (C) 6
Question: In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection doubles the number of green chips, how many red chips are in the selection?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: this is equivalent to :-
2x * 4y * 5z = 16000
y/2= z (given)
2x * 4y * 5y/2= 16000
2x * y^2 = 16000/10
2x * y^2 = 1600
now from options given we will figure out which number will divide 800 and gives us a perfect square :-
which gives us x=2 as
2* 2* y^2 =1600
y^2 = 400
y =20
Number of red chips = 2 hence B
Answer: (B) 2
Question: Sneh's age is 1/6th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, what is Sneh's present age?
(A) 24 years
(B) 30 years
(C) 6 2/3 years
(D) 32 years
(E) None of these
Rationale: Vimal's age after 10 years = (8+2+10)years
= 20 years.
Sneh's father age after 10 years = 40 years (Twice than Vimal's age after 10yr)
Sneh's father Present age = 30 years (40yrs -10yrs)
Therefore Sneh's age	= (1/6 * 30)years
= 5 years.
ANSWER:E
Answer: (E) None of these
Question: Jack and Jill work at a hospital with 2 other workers. For an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
(A)  1/3
(B)  1/6
(C)  1/15
(D)  3/8
(E)  2/3
Rationale: 1/4C2=1/6.
Answer: B.
Answer: (B)  1/6
Question: Tom, who has 50 math questions, will get 6 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?
(A) 192
(B) 193
(C) 194
(D) 195
(E) 196
Rationale: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.
We have x + y = 50;
Score = 6x-2y
2x+2y = 100; 6x-2y = Score;
==> 8x = 100+Score;
check for answer choices where 100+Score is divisible by 8
Choice (E) 196 fits the equation !
Answer: (E) 196
Question: . A boy has eight trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
(A) 80
(B) 87
(C) 90
(D) 120
(E) 140
Rationale: Explanation:
The boy can select one trouser in eight ways.
The boy can select one shirt in 10 ways.
The number of ways in which he can select one trouser and one shirt is 8 * 10 = 80 ways.
Answer: Option A
Answer: (A) 80
Question: If the product of 4 integers is negative, at most how many of the integers can be negative?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: The product of 4 integers is negative
Thus an odd number of integers need to be negative to have a negative product
We are asked at most how many are required.
So, the highest odd integer before 6,i.e. 3
Correct Option : B
Answer: (B) 3
Question: The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in seven colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
(A) 24
(B) 32
(C) 48
(D) 254
(E) 192
Rationale: I have no idea how you got 8C8, 7C6 and 4C1.
I could have understood 8C1*6C1*4C1 (I have explained why this doesn't work in the post above)
The best way to solve it is by first selecting 3 colors out of the given 4 in 4C3 ways. (say, you got black, red and green)
Now for each color, you have 2 choices - model A or B
So you select a model in 2 ways.
No of ways of selecting the 3 cars = 7C3 * 2 * 2 * 2 = 254
Well, my logic was
The number of ways of selecting r objects from n different objects is nCr.
We have 8 options and can select either of the 8 as the first - 8C8
One car is gone and one becomes a forbidden choice so we have 7 options and need to select either of the 6 as the first - 7C6
Two cars are gone and two becomes a forbidden choice so we have 6 options and need to select either of the 4 as the first - 6C4
D
Answer: (D) 254
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) 388
(B) 266
(C) 288
(D) 300
(E) 371
Rationale: 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
Answer: D
Answer: (D) 300
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
(A) 7
(B) 6
(C) 8
(D) 9
(E) 5
Rationale: 1/10 + 1/15 - 1/x = 1/18
x = 9
Answer:D
Answer: (D) 9
Question: A certain list of 200 test scores has an average (arithmetic mean) of 90 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
(A)  80 and 80
(B)  80 and 85
(C)  90 and 90
(D)  85 and 85
(E)  85 and 90
Rationale: The standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.
According to the aboveadding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.
Closest to the mean are 90 and 90 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD most.
Answer: C.
Answer: (C)  90 and 90
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
(A) 7/16
(B) 7/12
(C) 7/19
(D) 7/12
(E) 7/15
Rationale: Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.
Similarly from eight white balls two can be drawn in ⁸C₂ ways.
P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂
= 7/15
Answer:E
Answer: (E) 7/15
Question: Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 69.3. The difference between the unit digit and hundreds digit of that number is :
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Since the average increased by 69.3 and there were a total of 10 numbers, it means the incorrect number was 693 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 693
99c - 99a = 99(c - a) = 693
693 = 99*7 = 99(c - a)
So c - a = 7
Answer (E)
Answer: (E) 7
Question: Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that he now has £ 2 more than the original amount of money that the two boys had between them. How much money did Mac and Ken have between them before Ken's win ?
(A) 22
(B) 27
(C) 13
(D) 55
(E) 11
Rationale: Let money with Ken = x. Then, money with Mac = x + £ 3.
Now, 3x = (x + x + £ 3) + £ 2 x = £ 5.
Therefore Total money with Mac and Ken = 2x + £ 3 = £ 13.
Answer: C
Answer: (C) 13
Question: How long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
(A) 16.5
(B) 19.2
(C) 16.4
(D) 16.8
(E) 16.1
Rationale: D = 150 + 170 = 320 m
S = 60 * 5/18 = 50/3
T = 320 * 3/50 = 19.2 sec
Answer: B
Answer: (B) 19.2
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5.
(A) 22
(B) 20
(C) 288
(D) 277
(E) 21
Rationale: Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20.
Answer: B
Answer: (B) 20
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of seven rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
(A) 11 min
(B) 12 min
(C) 10 min
(D) 15 min
(E) 16 min
Rationale: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B = 7 - 1 = 6 rounds per hour.
Time taken to complete one round at this speed = 1/6 hr = 10 min.
C
Answer: (C) 10 min
Question: A class of boys stands in a single line, One boy is 19th in order from both the ends, How many boys are there in the class ?
(A) 37
(B) 38
(C) 27
(D) 29
(E) 11
Rationale: Explanation:
Number of boys in the class = (18 + 1 +18) = 37
Answer: A) 37
Answer: (A) 37
Question: Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: P (A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)
i think using this we can find ans as
no of child = 7+5+6-2-3-4+1 = 10
ANSWER:C
Answer: (C) 10
Question: The last two-digits in the multiplication 122 × 123 × 125 × 127 × 129 will be
(A) 20
(B) 50
(C) 30
(D) 40
(E) 10
Rationale: Solution
The answer will be 50 since, (125 × 122) will give 50 as the last two digits. Answer B
Answer: (B) 50
Question: A bag contain 25 blue marbles and 25 purple marbles. One marble is drawn at random. What is the probability that
marble is purple?
(A) 1/4
(B) 2/3
(C) 1/2
(D) 5/3
(E) None of these
Rationale: Explanation:
Total cases = 25 + 25 = 50
Favourable cases = 25
So probability = 25/50 = 1/2
Answer: C
Answer: (C) 1/2
Question: How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
(A) 24
(B) 30
(C) 48
(D) 56
(E) 72
Rationale: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.
Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).
So, for example:
XX|X|X|X = 2111
||XXX|XX = 0032
etc.
There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.
D
Answer: (D) 56
Question: Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of rice more than Farm A. What is the area of Farm A?
(A)  130 acres
(B)  135 acres
(C)  148 acres
(D)  160 acres
(E)  145 acres
Rationale: The area of Farm A = x acres;
The area of Farm B = x-15 acres.
Total output of Farm A = 300x kgs;
Total output of Farm B = 350(x-15) kgs.
Farm B in total harvested 2000 kgs of rice more than Farm A: 300x+2000=350(x-15) --> x=145 acres.
Answer: E.
Answer: (E)  145 acres
Question: A little boy is numbering his collection of flowers by placing single-digit stickers under each specimen. If the boy has 100 flowers, how many stickers does he need? (The numbers are consecutive and the number of the first flower is 1).
(A) 152
(B) 189
(C) 192
(D) 195
(E) 203
Rationale: For the first 9 flowers we need 9 stickers.
For the next 90 we need 2 stickers each or 180 stickers.
For the next 900 flowers we need 3 stickers each.
The first 99 flowers correspond to 189 stickers.
Subtract 99 from the total number of flowers (100).
This leaves 1 flower that uses 3 stickers each. So, multiply 1 by 3 to get 3.
Add 3 to 189 stickers to get 192 stickers.
Answer: C
Answer: (C) 192
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 25% more recliners. What is the percentage increase of the gross?
(A) 00%
(B) 15%
(C) 20%
(D) 25%
(E) 50%
Rationale: Say a recliner is actually worth $100
If she sells 100 recliners then she earns $10000
After the discount of 20%, she will earn $80 per recliner and she sells 25% more ie.,125 recliners
Hence her sales tields 125*80=$10000
Increase in sales=10000-10000=$0
So% increase = 0*100/10000 =0%
A is the answer
Answer: (A) 00%
Question: The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is:
(A) 142
(B) 126
(C) 118
(D) 112
(E) 116
Rationale: Explanation:
Product of HCF1 and LCM1 = product of HCF2 and LCM2
18× 3780 = 540× HCF2
HCF2 =18 x 3780 / 540
=126
Answer: B
Answer: (B) 126
Question: A train 130 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
(A) 13 km/hr
(B) 51.8 km/hr
(C) 17 km/hr
(D) 18 km/hr
(E) 12 km/hr
Rationale: Speed of the train relative to man = (130/10) m/sec
= (13) m/sec. [(25/2) * (18/5)] km/hr
= 46.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 46.8 ==> x
= 51.8 km/hr.
Answer:B
Answer: (B) 51.8 km/hr
Question: What is the diffference between the place value and face value of 3 in the numeral 1375?
(A) 286
(B) 289
(C) 297
(D) 300
(E) 314
Rationale: place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
C
Answer: (C) 297
Question: If a choir consists of 2 boys and 3 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
(A) 120
(B) 30
(C) 24
(D) 11
(E) 4
Rationale: There are 4 possibilities:
bbggg
gbbgg
ggbbg
gggbb
Think of all 2 boys as a single unit. Together with 3 girls it makes a total of 4 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 4 available positions. If the number of available unique positions is 4, then the number of unique patterns equals 4 as well.
Answer: E.
Answer: (E) 4
Question: In a partnership between A, B and C. A's capital is Rs.9000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
(A) 23676
(B) 19766
(C) 29172
(D) 21150
(E) 11267
Rationale: Explanation:
200 + 130 = 330
800 - 330 = 470
200 ---- 9000
470 ---- ? => 21150
Answer:D
Answer: (D) 21150
Question: Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After six rounds of this activity, what is the maximum amount of money that any one man could receive?
(A) $4
(B) $5
(C) $10
(D) $15
(E) $32
Rationale: The Optimized scenario
After 1st Round - $1. Let nobody touches the amount will double in next round.
After 2nd Round - $2. Let nobody touches the amount will double in next round.
After 3rd Round - $4. Let nobody touches the amount will double in next round.
After 4th Round - $8. Let nobody touches the amount will double in next round.
After 5th Round - $16. Let Man A touches it and get$16
After 6th Round - $16. Let the same Man A touches it and get another$16.
So, after 6th round, the maximum amount a man receives is $32.
Answer (E)
Answer: (E) $32
Question: Thomas takes loan from a bank at 20% p.a. simple interest.
After how many years will the sum of money become three times the principal?
(A) 2 years 1 month
(B) 4 years
(C) 10 years
(D) 8 years 3 months 2 days
(E) 5 years
Rationale: Solution: simple interest question
B=A[1+ (tr/100)]; where A is principal amount, B final amount, t time in years and r interest rate
after putting the values 20
3= [1+(20t/100)]
t= 10 which is 10 years.
Answer is C
Answer: (C) 10 years