mathewhe/aqua_rat huggingface dataset:
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
(A) Rs.2038
(B) Rs.2073
(C) Rs.2000
(D) Rs.2027
(E) Rs.2022
Rationale: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130 = 130 - 26 = Rs. 104.
In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40.
But present price of the article is Rs. 2288
for 114.4 ---> 100 ; 2288 ---> ?
Required price = (2288 * 100)/114.4 = 20 * 100 = Rs.2000.
Answer:C
Answer: (C) Rs.2000
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 18 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) 128
(B) 132.
(C) 146.
(D) 154.
(E) 166.
Rationale: Let the foam generators capacity be -
A = 10 lit/hr
B = 10 lit/hr
C = 18 lit/hr
Total foam generation in 1 hour will be 38 lit ( 10 + 10 + 18 ) ; since in 1 and 1/2 hr they will generate 38 + 19 => 57 litres...
Now one of the first generators stops working ( Say A stops working ) , so we have -
B = 10 lit/hr
C = 18 lit/hr
Total foam generation in 2 hour will be 56 litres {2 (10+18)}
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 128 Litres ( 57 + 56 + 15 ) ; hence answer will be (A)
Answer: (A) 128
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 16 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
(A) 80%
(B) 105%
(C) 120%
(D) 112%
(E) 138%
Rationale: 0,112R = x/100*0.1R
Answer D
Answer: (D) 112%
Question: 30 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
(A) 14.4
(B) 120
(C) 50.4
(D) 60
(E) 90
Rationale: 30% of Area of the floor = 4*9 square feet = 36 square feet
i.e. 100% Area of Floor = (36/30)*100 = 120 square feet
Answer: Option B
Answer: (B) 120
Question: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?
(A) 10
(B) 20
(C) 40
(D) 60
(E) 120
Rationale: Method 1:
Take the first amateur. He plays a game with each of the other four i.e. 4 games.
Now take the second one. He has already played a game with the first one. He plays 3 games with the rest of the 3 amateurs i.e. 3 more games are played.
Now take the third amateur. He has already played a game each with the first and the second amateur. Now he plays 2 games with the remaining 2 amateurs so 2 more games are played.
Now go on to the fourth amateur. He has already played 3 games with the first 3 amateurs. He just needs to play a game with the last one i.e. 1 more game is played.
The last amateur has already played 4 games.
Total no of games = 4+3+2+1 = 10
Method 2:
Each person is one participant of 4 games. So there are in all 4*5 = 20 instances of one participant games. But each game has 2 participants so total number of games = 20/2 = 10
Answer: A.
Answer: (A) 10
Question: If 28a+30b+31c=425.
then a+b+c=?.a,b,c are natural numbers
(A) 14
(B) 8
(C) 6
(D) 9
(E) 2
Rationale: have a look on your calender
since,we all knw a year consist of 365 days
february is d only month which has 28 days
4 months in a year has 30 days
and,rest 7 months has 31 days..
so,following d given eq. we can write 28*1 + 30*6 + 31*7..
hence values of a,b and c are 1, 6 and 7 respectively..
a+b+c=14
ANSWER:A
Answer: (A) 14
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
(A) 88hours
(B) 38hours
(C) 78hours
(D) 28hours
(E) 48hours
Rationale: 2/7 - 1/x
= 1/4
x = 28
Answer:D
Answer: (D) 28hours
Question: What is the place value of 3 in the numeral 53468?
(A) 3000
(B) 30
(C) 3
(D) 330
(E) 300
Rationale: place value of 3 = 3 * 1000 = 3000
Answer is A
Answer: (A) 3000
Question: A child is playing with letter blocks (a playing cube in which an english letter is written). Before leaving the child to play on her own, her mon arranged 5 blocks into the word APPLE. How many different 6 letter words can the child make with these 5 blocks (Words need not have a meaning.She is just a child!) ?
(A) 2!
(B) 3!
(C) 4!
(D) 5!
(E) 6!
Rationale: There are 6 letter blocks to be arranged. Note that the letter P occurs twice. 2 'P' blocks can be arranged only in one way, since the two blocks are exactly the same(PP is same as PP). So we can consider PP as one letter and proceed to find the arrangement of 4 letters, A, PP, L, E. These four blocks can be arranged in 4! ways. So answer is C. 4!.
Answer: (C) 4!
Question: A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $30 to ship a certain package, which of the following was the weight of the package, in pounds?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 14
Rationale: Let the weight of the package be X.
2X + 6= 30
X = 12
The answer is D.
Answer: (D) 12
Question: Williams works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 8 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
(A) 3/7
(B) 5/7
(C) 6/7
(D) 1/7
(E) 4/7
Rationale: First notice the number of months for which he worked - March to Sept i.e. 7 months
Avg of monthly totals in tips for months other than August = x
Tips in August = 8x
Total tips for all months = 6*x + 8x = 14x
Tips for August/Total tips for all months = 8x/14x = 4/7
Answer : E
Answer: (E) 4/7
Question: If four coins are tossed, the probability of getting two heads and two tails is
(A) 3/8
(B) 6/11
(C) 2/5
(D) 4/5
(E) 5/11
Rationale: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer : A
Answer: (A) 3/8
Question: If 0.75: x :: 5:9, then x is equal to:
(A) 1.12
(B) 1.16
(C) 1.2
(D) 1.35
(E) None of these
Rationale: Explanation:
(x * 5) = (0.75 *9)
X=6.75/5 = 1.35
Answer: D
Answer: (D) 1.35
Question: By investing in 16 2/3% stock at 64, one earns Rs. 1500. The investment made is:
(A) Rs. 5640
(B) Rs. 5760
(C) Rs. 7500
(D) Rs. 8600
(E) Rs. 9600
Rationale: To earn Rs.	50/3	, investment = Rs. 64.
To earn Rs. 1500, investment = Rs.64 x	3/50x 1500	= Rs. 5760.
ANSWER :B
Answer: (B) Rs. 5760
Question: A grocery purchased cereal at 40% of its list price and sold it for 90% of its list price. What is its percent gain?
(A) 30
(B) 65
(C) 75
(D) 110
(E) 125
Rationale: Cost = 40% of List Price = .4*LSale = 90% of List Price = .9*LGain Ratio = (Sale - Cost) / Cost = (.9*L - .4*L) / .4*L = .5*L / .4*L = 1.25Gain Percent = 100 * Gain Ratio = 100 * 1.25 = 125% = Answer E
Answer: (E) 125
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 720 grams per kg, what is his percent?
(A) 15%
(B) 25%
(C) 38.9%
(D) 45%
(E) 35%
Rationale: Explanation:
720 --- 280
100 --- ? => 38.9%
Answer: C
Answer: (C) 38.9%
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
(A) 240
(B) 288
(C) 665
(D) 199
(E) 261
Rationale: S = 600/40 = 15 mps
S = 3600/15 = 240 sec
= 4 min
Answer: A
Answer: (A) 240
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
(A) 123
(B) 480
(C) 266
(D) 1251
(E) 121
Rationale: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 25% = 25% of 640 = Rs.160
SP = CP - Loss = 640 - 160 = Rs.480Answer: B
Answer: (B) 480
Question: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw
(A) 64
(B) 128
(C) 132
(D) 222
(E) None of these
Rationale: Explanation:
From 2 white balls, 3 black balls and 4 red balls, 3 balls are to be selected such that
at least one black ball should be there.
Hence we have 3 choices
All three are black
Two are black and one is non black
One is black and two are non black
Total number of ways
= 3C3 + (3C2 x 6C1) + (3C1 x 6C2) [because 6 are non black]
=1+[3×6]+[3×(6×5/2×1)]=1+18+45=64
Option A
Answer: (A) 64
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then JUMP?
(A) 200
(B) 210
(C) 220
(D) 230
(E) 240
Rationale: GOOD=(7+15+15+4)*4=164
BAD= (2+1+4)*3=21
UGLY= (21+7+12+25)*4=260
coding follows
(sum of position of alphabets)*(no. of letters in the given word)
so,
JUMP=(10+21+13+16)*4= 240
ANSWER:E
Answer: (E) 240
Question: A drought decreased the amount of water in city X’s reservoirs from 118 million gallons to 96 million gallons. If the reservoirs were at 79 percent of total capacity before the drought began, approximately how many million gallons were the reservoirs below total capacity after the drought?
(A) 67
(B) 58
(C) 54
(D) 46
(E) 32
Rationale: let T be the total capacity of the reservoir.
Now we can equate before cases i.e 79/100(T) = 118.
Lets take approximate values for easy calculation 80/100(T) = 120 => T = 150 MG.
We need to subtract total - after drought case = 150 - 96 = 54 MG..
Option C is correct answer...
Answer: (C) 54
Question: Evaluate : 986 x 237 + 986 x 863
(A) 986000
(B) 968000
(C) 978000
(D) 987000
(E) None of them
Rationale: 986 x 137 + 986 x 863 = 986 x (137 + 863) = 986 x 1000 = 986000.
Answer is A.
Answer: (A) 986000
Question: The class mean score on a test was 50, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
(A) 20
(B) 31
(C) 45
(D) 90
(E) 89
Rationale: 1SD from the mean ranges from 35 to 65, where 65 is within SD above the mean and 35 within 1SD below the mean
2SD=15 TWICE=30 from the the mean, which is 80 to 20, where 80 is within 2 SD above the mean AND 20 is within 2 SD below the mean.
Answer = A
Answer: (A) 20
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8100. If his salary for the month of May is Rs.6500, find his salary for the month of January?
(A) 2177
(B) 2876
(C) 4500
(D) 2981
(E) 6100
Rationale: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8100 = 32400 ----(2)
(2)-(1) i.e. May - Jan = 400
Salary of May is Rs.6500
Salary of January = Rs.6100.Answer: E
Answer: (E) 6100
Question: 256, 225, 196, 169, 144, ?
(A) 49
(B) 64
(C) 81
(D) 121
(E) 100
Rationale: Explanation :
The pattern is 16^2, 15^2, 14^2, 13^2, 12^2, ...
So next number is 11^2 = 121
Answer : Option D
Answer: (D) 121
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks Z are made of cotton?
(A) 100
(B) 80
(C) 60
(D) 50
(E) 25
Rationale: I'll prefer to solve this with plug n play method.
As we know, White Cotton socks are only 25% and Total Cotton socks is 60% - Hence Black Cotton socks Z has to be [highlight]HIGH[/highlight]number. Thats why we've to pick high number... say 100 or 80.
100 fits perfectly after relevant calculations. Hence answer A.
Answer: (A) 100
Question: A certain junior class has 3000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
(A) 1/40000
(B) 1/3600
(C) 9/2000
(D) 1/60
(E) 1/15
Rationale: Let's see
Pick 60/3000 first
Then we can only pick 1 other pair from the 800
So total will be 60 / 800 *3000
Simplify and you get 1/40000
Answer is A
Answer: (A) 1/40000
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 630,000 different outfits, then for how many garments does Dave have exactly five choices?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: 630,000 = 63*10,000 = 63*5^4*2^4
Dave has exactly 5 choices for four garments.
The answer is E.
Answer: (E) 4
Question: A sum amounts to Rs.4410 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
(A) Rs.4000
(B) Rs.5000
(C) Rs.4500
(D) Rs.4800
(E) Rs.5800
Rationale: CI=4410,R=5,N=2
CI=P[1+R/100]^2
=P[1+5/100]^2
4410=P[21/20]^2
4410[20/21]^2
4000
ANSWER:A
Answer: (A) Rs.4000
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
(A) 1/3
(B) 2/3
(C) 2/5
(D) 3/5
(E) 4/5
Rationale: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.
Let x ml be the amount removed ---> total alcohol left = 4-0.4x
New quantity of whiskey added = x ml out of which 0.19 is the alcohol.
Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.
Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 2/3.
Hence, B is the correct answer.
Answer: (B) 2/3
Question: In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
(A) 3:16.
(B) 2:3.
(C) 5:3.
(D) 3:4.
(E) 2:5.
Rationale: 1st statement : ratio of pants
Store A : Store B
50x : 40x
5X:4X
Price :
4y:3y
Total revenue
20xy : 12xy
5:3
Answer is C
Answer: (C) 5:3.
Question: The side of a cube is 15 m, find it's surface area?
(A) 1350
(B) 1750
(C) 1150
(D) 1450
(E) 1570
Rationale: Surface area = 6 a(power)2 sq. units
6 a(power)2 = 6 × 225 = 1350 m(power)2
Answer is A.
Answer: (A) 1350
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
(A) 784
(B) 365
(C) 452
(D) 251
(E) 756
Rationale: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways	= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= (525 + 210 + 21)
= 756
Ans: E
Answer: (E) 756
Question: A train 220 m long is running with a speed of 59 kmph.. In what will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going
(A) 8 sec
(B) 10 sec
(C) 12 sec
(D) 14 sec
(E) 15 sec
Rationale: Explanation:
Speed of the train relative to man = (59 + 7) kmph
= 66 ×5/18 m/sec = 55/3 m/sec.
Time taken by the train to cross the man = Time taken by it to cover 220 m
at (55/3) m / sec = (220 ×3/55) sec = 12 sec
Answer: Option C
Answer: (C) 12 sec
Question: A train 500m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
(A) 175kmph
(B) 150kmph
(C) 162kmph
(D) 145kmph
(E) 100kmph
Rationale: Let the speed of the train be x kmph
Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec
500/[(x+5)*5/18] = 10
10(x+5) = 1800
x = 175kmph
Answer is A
Answer: (A) 175kmph
Question: The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
(A) 8
(B) 16
(C) 17
(D) 18
(E) 34
Rationale: Minimum age = Average - 1 Standard deviation = 20 - 8 = 12
Maximum age = average + 1 Standard deviation = 20+ 8 = 28
Maximum number of different ages of the applicants = 28 - 12 + 1 = 17
Answer C
Answer: (C) 17
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
(A) 39
(B) 35
(C) 42
(D) 40.5
(E) 41.5
Rationale: let the average after 16th inning =x
then total run after 16th inning=16x
then total run after 17th inning=16x+87
then average run after 17th inning=(16x+87)/17
(16x+87)/17=x+3;
x=36;
average after 17th inning =36+3=39
ANSWER:A
Answer: (A) 39
Question: Set S consists of integers {8, 11, 12, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 25%. What is the value of integer n?
(A) 28
(B) 32
(C) 36
(D) 40
(E) 44
Rationale: The average of the numbers in set S is 12.
If we increase the mean by 25%, the new mean is 15.
Thus, on average, 5 numbers increase by 5.
Therefore n = 15+25 = 40
The answer is D.
Answer: (D) 40
Question: There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?
(A) 360
(B) 500
(C) 420
(D) 720
(E) 840
Rationale: number of ways =6! = 720
Answer is D
Answer: (D) 720
Question: The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
(A) 228
(B) 148
(C) 992
(D) 772
(E) 222
Rationale: 2(4*5 + 5*6 + 4*6) = 148
Answer: B
Answer: (B) 148
Question: Find the sum of first 32 natural numbers
(A) 470
(B) 468
(C) 465
(D) 463
(E) 528
Rationale: Explanation:
Sum of n natural numbers
=n(n+1)/2
=32(32+1)/2=32(33)/2=528
Answer: Option E
Answer: (E) 528
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 30 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
(A) 89
(B) 90
(C) 92
(D) 99
(E) 96
Rationale: The average score in an examination of 10 students of a class is 60 --> the total score = 10*60 = 600;
The 5 smallest scores have an average of 55 --> the total score of the 5 smallest scores = 275.
From above, the total score of the 5 largest scores = 600 - 275 = 325.
Say the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 55 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:
a + b + c + d + e = 55 + 56 +57 + 58 + e = 325;
e = 99.
Answer: D.
Answer: (D) 99
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches
Rationale: D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were played.
Answer: (D) 85 matches
Question: The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 100 meters?
(A) 14
(B) 16
(C) 18
(D) 20
(E) 22
Rationale: The speed of the boat downstream = 15 + 3 = 18 km/hr
18 km/hr * 5/18 = 5 m/s
The time taken to cover 100 meters = 100/5 = 20 seconds.
The answer is D.
Answer: (D) 20
Question: In a sports club with 30 members, 17 play badminton and 18 play tennis and 2 do not play either. How many members play both badminton and tennis?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Rationale: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(17-x)+(18-x)+x+2=30
37-2x+x=30
37-x=30
x=7
So 7 members play both badminton and tennis.
A
Answer: (A) 7
Question: The positive value of x that satisfies the equation (1 + 2x)^3 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?
(A) 0 and 0.5
(B) 0.5 and 1
(C) 1 and 1.5
(D) 1.5 and 2
(E) 2 and 2.5
Rationale: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).
Try x=1 --> LHS=3^5=81*3=243 and RHS=4^4=64*4=256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5 = (1 + 3x)^4 is slightly more than 1.
Answer: B.
Answer: (B) 0.5 and 1
Question: The average of first five multiples of 2 is?
(A) 6
(B) 8
(C) 9
(D) 5
(E) 7
Rationale: Average = 2(1 + 2 + 3 + 4 + 5)/5
= 30/5
= 6.
Answer:A
Answer: (A) 6
Question: When positive integer A is divided by positive integer B, the result is 9.44. Which of the following could be the integer B is ?
(A) 11
(B) 44
(C) 24
(D) 25
(E) 22
Rationale: the remainder will be obtained from the decimal part when A is divided by B i.e. 0.44
0.44 = 44/100 = 11/25 so possible remainders are 11,22,33,44.
Only option A-11 satisfies this
for remainder 11,
A=236 and B=25
Ans - D
Answer: (D) 25
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.3600. How much third person will get?
(A) 2400
(B) 1600
(C) 2980
(D) 2707
(E) 2872
Rationale: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 3600 = 1600
Answer:B
Answer: (B) 1600
Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
Rationale: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20
Answer: D
Answer: (D) 20
Question: A company that ships boxes to a total of 15 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
(A) 8
(B) 7
(C) 6
(D) 5
(E) 9
Rationale: Back-solving is the best way to solve this problem.
You basically need 12 combinations (including single colors)
If we start from option 1->
1=> 4C2 + 4 = 10 (Not enough)
2=> 5C2 + 5 = 15 (Enough)
Since the minimum number is asked. It should be 5.
Answer - D
Answer: (D) 5