mathewhe/aqua_rat huggingface dataset:
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $900 was the net sum to be paid for the entire work, what was the average daily wage of B?
(A) $144
(B) $90
(C) $60
(D) $54
(E) $48
Rationale: The correct answer is C.
Answer: (C) $60
Question: In how many ways can the letters of the word ABEIX be arranged in a row so that the vowels appear in alphabetic order?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
Rationale: three letters can be arranged in 3! ways.
only one combination AEI is required.
5 letters can be arranged in 5! ways.
thus 5!/ 3! * 1 = 20.
A
Answer: (A) 20
Question: A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by 11. If it starts in 23rd position, at what position will it be after 2012 sec.
(A) 10th
(B) 15th
(C) 20th
(D) 25th
(E) 28th
Rationale: After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position.
ANSWER:C
Answer: (C) 20th
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 235 true?
(A) 1
(B) 2
(C) 5
(D) 7
(E) 9
Rationale: Answer B
(a+b)(a-b)=235
2cases For (a+b), (a-b)
235, 1
47, 5
Answer B
Answer: (B) 2
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) 22
(B) 27
(C) 40
(D) 26
(E) 11
Rationale: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100 = 40%.Answer:C
Answer: (C) 40
Question: Three pipes of same capacity can fill a tank in 12 hours. If there are only two pipes of same capacity, the tank can be filled in?
(A) 18
(B) 8
(C) 12
(D) 6
(E) 4
Rationale: The part of the tank filled by three pipes in one hour
= 1/12
=> The part of the tank filled by two pipes in 1 hour
= 2/3 * 1/12 = 1/18.
The tank can be filled in 18 hours.
Answer:A
Answer: (A) 18
Question: A certain jeans in a shop was marked down 30% the first week and another 20% the next week. What percent of the regular price was the final cost of the jeans after the two markdowns?
(A) 30%
(B) 36%
(C) 40%
(D) 56%
(E) 60%
Rationale: If the price of the jeans is 100, and it is marked down by 30% and 20% respectively or charged 70% of the price first and 80% of the price of reduced price, the final price is :-
100*70*80/10000= 56
56% is the final price of old price.
D is the answer
Answer: (D) 56%
Question: The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 20, 60, and what number?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
Rationale: a1 = 120/3 = 40
a2 = a1 -5 = 35
sum of second list = 35*3 = 105
therefore the number = 105 -80 = 25
A
Answer: (A) 25
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
(A) 12 days
(B) 15 days
(C) 16 days
(D) 18 days
(E) 22 days
Rationale: A's 2 day's work = (1/20 × 2) = 1/10	.
(A + B + C)'s 1 day's work = (1/20 + 1/30 + 1/60) = 1/10.
Work done in 3 days = (1/10 + 1/10) = 1/5.
Now,	1/5	work is done in 3 days.
Therefore, Whole work will be done in (3 x 5) = 15 days.
CORRECT ANSWER: "B".
Answer: (B) 15 days
Question: The number of sequences in which 8 players can throw a ball, so that the youngest player may not be the last is ?
(A) 43280
(B) 43280
(C) 35280
(D) 32786
(E) 36124
Rationale: x Not younger
The last ball can be thrown by any of the remaining 8 players. The first 6 players can throw the ball in 7P7 ways.
The required number of ways = 7(7!)
= 35280
Answer:C
Answer: (C) 35280
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
(A) $198
(B) $216
(C) $220
(D) $230
(E) $240
Rationale: Wholesale cost of video recorder = 200 $
Video recorder was priced at 20 percent above 200 = 240 $
% discount given by store employee = 10
Employee paid = .9 * 240 = 216 $
Answer B
Answer: (B) $216
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, the how old is B?
(A) 7
(B) 9
(C) 8
(D) 14
(E) 10
Rationale: Explanation:
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 37
⇒ 5x = 35
⇒ x = 7.
Hence, B's age = 2x = 14 years.
Answer: D
Answer: (D) 14
Question: The mean of 40 observations was 100. It was found later that an observation 50 was wrongly taken as 75 The corrected new mean is
(A) 125.8
(B) 102.8
(C) 99.375
(D) 100.52
(E) 122
Rationale: Explanation:
Correct Sum = (100 * 40 + 50 - 75) = 3975.
Correct mean = = 3975/40 = 99.375
Answer: C
Answer: (C) 99.375
Question: A and B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4000 as profit, what is their total profit?
(A) 27000
(B) 25000
(C) 29000
(D) 28000
(E) 26000
Rationale: Suppose B's investment =x.
Then A's investment =3x
Suppose B's period of investment =y
then A's period of investment =2y
A : B =3x×2y:xy=6:1
Total profit ×1/7=4000
=> Total profit =4000×7
=28000
Answer is D.
Answer: (D) 28000
Question: The area of a rectangular plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
(A) 18m
(B) 19m
(C) 17m
(D) 16m
(E) 20m
Rationale: length =115% of breadth.
length×breadth =460 m2
⇒ 115% of breadth×breadth =460 m2
⇒ 115100× breadth×breadth =460 m2
⇒ breadth×breadth =400 m2
⇒ breadth =20 m
Answer is E.
Answer: (E) 20m
Question: Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q and R are to be integers that satisfy the inequalities -4<=x<=5 and 6<=y<=16. How many different triangles with these properties could be constructed?
(A) 110
(B) 1100
(C) 9900
(D) 10000
(E) 12100
Rationale: We know that P,Q, R can only lie on a grid 10x11
Let's start by fixing P' x-coordinate: we have 10 possible places for it
Then we choose x-coordinate for R: since PR || x-axis, R's x-coordinate can not coincide with P's x-coord, so we have only 9 possible choices left.
Then, we fix P's (and R's too) y-coordinate: 11 possible choices.
Finally, after we fixed P and R, Q's x-coordinate must be the same as P's (because P is the right angle and PR || x-axis), so the only choice is for y-coordinate, and we have 10 possible choices left.
So, total number of different triangles: 10*9*11*10=9,900
ANSWER:C
Answer: (C) 9900
Question: A person's present age is two-fifth of the age of his father. After 8years, he will be one - half of the age of his father. How old is the father at present ?
(A) A)40
(B) B)48
(C) C)32
(D) D)45
(E) E)28
Rationale: Let the father's present age be x years
Then the person's present age = 2x/5
(2x/5)+8 = 1/2(x+8)
2(2x+40) = 5 (x+8)
x = 40
Answer is A
Answer: (A) A)40
Question: Each of eight different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
(A) 1/8
(B) 1/6
(C) 1/64
(D) 3/8
(E) 1/2
Rationale: I was just going over probability questions.
can some one explain me what's wrong in my approach here.
Probability of choosing one right key out of 8 is 1/8.
Probability of choosing another right key is 1/8.
since the question is asking for 2 right keys , probability is multiplication of both = 1/8 * 1/8 = 1/64.
Ans C
Answer: (C) 1/64
Question: A person purchased a TV set for Rs. 17000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
(A) 16.97%
(B) 87.97%
(C) 33.97%
(D) 17.97%
(E) 18.97%
Rationale: The total CP = Rs. 17000 + Rs. 6250 = Rs. 23250 and SP
= Rs. 31150
Profit(%) = (31150 - 23250)/23250 * 100
= 33.97%
Answer:C
Answer: (C) 33.97%
Question: If each edge of a cube is doubled, then its volume :
(A) Becomes 8 times
(B) Becomes 9 times
(C) is double
(D) Becomes 6 times
(E) None
Rationale: Sol.
Let original edge = a. Then, volume = a³
New edge = 2a. So, new volume = (2a)³ = 8a³
∴ Volume becomes 8 times
Answer A
Answer: (A) Becomes 8 times
Question: The current birth rate per thousand is 42, where as corresponding death rate is 22 per thousand. The net growth rate in terms of population increase in percent is given by?
(A) 2.0%
(B) 3.2%
(C) 3.9%
(D) 4%
(E) 5.1%
Rationale: Net growth on 1000 = 42-22 = 20
Net growth on 100 = 20*100/1000 = 2.0%
Answer is A
Answer: (A) 2.0%
Question: John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?
(A) 40 ml
(B) 60 ml
(C) 70 ml
(D) 80 ml
(E) 90 ml
Rationale: concentration of water in mixture1 =29 (since the ratio of milk and water = 7:2) ...(1)
concentration of water in pure water= 1 ...(2)
Now the above mentioned items are mixed to form mixture2 where milk and water ratio = 7 : 3
=> concentration of water in mixture2 =310
By rule of alligation,
concentration of water in mixture1 (29)
concentration of water in pure water (1)
Mean concentration
(310)
1−310=710
310−29=790
=> Quantity of mixture1 : Quantity of water
=710:790=110:190=1:19
Given that Quantity of mixture1 = 630 ml
=> 630 : Quantity of water =1:19
=> Quantity of water =630×19=70 ml
C
Answer: (C) 70 ml
Question: Alan has split his savings equally into two accounts. The first one is a simple interest savings account with 22% annual interest and the other is a savings account with r% annual compound interest. If both accounts have the same balance after two years, what is the value of r?
(A) 11
(B) 14.25
(C) 18.5
(D) 20
(E) Cannot be determined
Rationale: Let the amounts deposited on both accounts be $100.
Then we'd have that 100+100∗0.22+100∗0.22=100(1+r)2100+100∗0.22+100∗0.22=100(1+r)2 --> 144=100(1+r)2144=100(1+r)2 --> (1+r)2=1.44(1+r)2=1.44 --> 1+r=1.21+r=1.2 --> r=0.2
Answer is D
Answer: (D) 20
Question: A bag contains 8 red and 4 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
(A) 4/7
(B) 2/3
(C) 5/8
(D) 1/4
(E) 5/7
Rationale: Total number of balls = 8+4 = 12
number of white balls = 8
Probability = 8/12 = 2/3
Answer is B
Answer: (B) 2/3
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
(A) 2298
(B) 1000
(C) 2888
(D) 2771
(E) 9911
Rationale: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer:B
Answer: (B) 1000
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
(A) 6
(B) 7
(C) 1
(D) 8
(E) 9
Rationale: Let xx be the amount Peter picked. Then Mary and Lucy picked 2x2x and x+2x+2, respectively. So
x+2x+x+2=26x+2x+x+2=26
4x=244x=24
x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Answer:A
Answer: (A) 6
Question: How many three digit numbers W are divisible by 78 or 91?
(A) 17
(B) 19
(C) 20
(D) 21
(E) 22
Rationale: The answer will be 19.
Explanation:
78= 2*3*13 now multiples of 78, 156 ....780, now 1000-780 = 220 only two more muktiples of 78 can exists. So total number of 3 digit Multiples of 78 are 9+2=11
91= 13*7--Total number of three digit multiples --9
No remember we have a common multiples as well-- 13*7*6=91*6=546
So total number of multiples W--11+9 -1 =19.
Hence Answer is 19.B
Answer: (B) 19
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
(A) 22
(B) 24
(C) 26
(D) 23
(E) 21
Rationale: Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and 2x + 4y = 140 x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.
Answer is C.
Answer: (C) 26
Question: When divided by 5, x has a remainder of 4 and y has a remainder of 2. Which of the following could be the remainder when x + y is divided by 10?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 0
Rationale: x = 5k+4 and y = 5j+2
x+y = 5(j+k) + 6
When divided by 10, the remainder is either 6 or 1.
The answer is A.
Answer: (A) 6
Question: If a = 0.1039, then the value of âˆš4a2 - 4a + 1 + 3a is:
(A) 0.1039
(B) 0.2078
(C) 1.1039
(D) 2.1039
(E) 3.1039
Rationale: Explanation:
âˆš4a2 - 4a + 1 + 3a = âˆš(1)2 + (2a)2 - 2 x 1 x 2a + 3a
=âˆš(1 - 2a)2 + 3a
= (1 - 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
ANSWER IS C
Answer: (C) 1.1039
Question: The difference between two numbers is 1356. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
(A) 240
(B) 270
(C) 295
(D) 360
(E) 340
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270
ANSWER:B
Answer: (B) 270
Question: A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently eight spaces behind player B, what is the probability that player B will be frozen after player A rolls?
(A) 1/12
(B) 5/36
(C) 1/6
(D) 1/3
(E) 17/36
Rationale: no. of possible outcomes = 6*6 = 36
no. of outcomes that result a total of 8 (as A is 8 spaces behind B) = 5 ( (2,6), (3,5), (4,4), (5,3), (6,2) )
So, the probability = 5/36 (Option B)
Answer: (B) 5/36
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
(A) 31.5
(B) 31.8
(C) 31.6
(D) 31.3
(E) 31.1
Rationale: 100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4 = 31.6
Answer:C
Answer: (C) 31.6
Question: A zoo has an average of 500 visitors on sundays and 200 on other days . The avearge number of visitors per day in a month of 30 days beginning with a monday is?
(A) 120
(B) 150
(C) 200
(D) 210
(E) 240
Rationale: Since the month begin with monday, so there will be 4 sundays in the month
Required average = (500*4 + 200*26)/30 = 240
Answer is E
Answer: (E) 240
Question: For four days of work, a clerk had daily earnings of $120, $110, $120, and $120 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
(A) Between $50 and $100
(B) Between $20 and $40
(C) Between $20 and $60
(D) Between $0 and $10
(E) Between $70 and $100
Rationale: The standard deviation is between 0 and 10.
The reason is that none of the numbers in the set is further away from the mean than 10(or rather Abs(110-(120*3+110)/4)). I am not fully sure how to calculate the standard deviation(I simply remember that there were some formula for calculating the average of the squared distances from the mean for all items in the set from statistics classes - variation), but I believe this will suffice for any GMAT question related to standard deviation.
Answer : D
Answer: (D) Between $0 and $10
Question: A sum of money lent out at S.I. amounts to Rs. 660 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
(A) s.440
(B) s. 500
(C) s. 540
(D) s. 740
(E) s. 516
Rationale: S.I for 5 years = (1020 - 660) = Rs. 360.
S.I. for 2 years = 360/5 * 2 = Rs. 144.
Principal = (660 - 144) = Rs. 516.
ANSWER:E
Answer: (E) s. 516
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 9720 votes were polled, then how many valid votes did B get?
(A) 1888
(B) 2999
(C) 3159
(D) 2777
(E) 2991
Rationale: Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of A and B be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 9720
32.5k = 32.5k/100k * 9720 = 3159
The number of valid votes polled in favour of B is 3159.
Answer: C
Answer: (C) 3159
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.180 only. Menâ€™s wages are?
(A) 6Rs
(B) 2Rs
(C) 4Rs
(D) 9Rs
(E) 12Rs
Rationale: 5M = xW = 8B
5M + xW + 8B ----- 180 Rs.
5M + 5M + 5M ----- 180 Rs.
15M ------ 180 Rs. => 1M = 12Rs.
Answer: E
Answer: (E) 12Rs
Question: A man walking at a rate of 15km/hr crosses a bridge in 35 minutes. The length of the bridge is?
(A) 1250m
(B) 1750m
(C) 950m
(D) 1000m
(E) 1300m
Rationale: Speed = 15*5/18 = 15/18 m/sec
Distance covered in 35 minutes = 15/18 *35 *60 = 1750 m
Answer is B
Answer: (B) 1750m
Question: A Refrigerator is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
(A) 18%
(B) 19%
(C) 21.2%
(D) 21.81%
(E) 22.07%
Rationale: Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years
the way I see it: For Refrigerator on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000
For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)
thus, SI = 2000 or
2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)
R = (2,000*12*100)/22,000*5
R = 21.81%
Therefore answer is D
Answer: (D) 21.81%
Question: A boat crossed a lake from East to West at the speed of 5 km/h, entered a river and covered twice as much distance going upstream at 4 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.6 km/h that day, what was its approximate downstream speed?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: One way of solving this is:
Speed of boat on still water (lake)=5kmph
Speed upstream = 4kmph = speed in still water - speed of river => speed of river = 1kmph
=>Speed downstream = speed in still water + speed of river = 5+1 =6kmph
Ans is C
Answer: (C) 6
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
(A) 2777
(B) 2987
(C) 1200
(D) 9977
(E) 1671
Rationale: CP* (76/100) = 912
CP= 12 * 100 => CP = 1200
Answer: C
Answer: (C) 1200
Question: If |x^2 − 20| = x, which of the following could be the value of x?
(A) -5
(B) -4
(C) 1
(D) 4
(E) 10
Rationale: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-20 is negative.
-(x^2 - 20) = x
x^2 + x - 20 = 0
(x+5)(x-4) = 0
x = 4 or x = -5 (However, x can not be negative.)
Then x = 4 is a possible value for x.
The answer is D.
Answer: (D) 4
Question: If a company allocates 25 percent of its budget to advertising, 30 percent to capital improvements, and 35 percent to salaries, what fraction of its budget remains for other allocations?
(A) 1/10
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2
Rationale: 100%-(25%+30%+35%)=10% remains for other allocations --> 10% = 10/100 = 1/10.
Answer: A.
Answer: (A) 1/10
Question: 3 candidates in an election and received 1136, 5636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
(A) 40%
(B) 55%
(C) 57%
(D) 63.2%
(E) 62%
Rationale: Total number of votes polled = (1136 + 5636 + 11628) = 18400
So, Required percentage = 11628/18400 * 100 = 63.2%
D
Answer: (D) 63.2%
Question: The difference between compound and d simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
(A) 28882
(B) 27772
(C) 23123
(D) Rs.13500
(E) 28811
Rationale: P = (184*106) / [6 2/3 * 6 2/3 *(300 *6 2/3)]
P = 13500
Answer: D
Answer: (D) Rs.13500
Question: A vendor sold two things at same cost of 13 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
(A) 0.65 loss
(B) 0.70 loss
(C) 0.80 loss
(D) 0.55 loss
(E) 0.40 loss
Rationale: CP when profit of 25% = 10.4
CP when loss of 20% = 16.25
Total CP = 26.65
Total SP = 26.00
Total loss = 0.65
ANSWER:A
Answer: (A) 0.65 loss
Question: The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 6 revolutions ? (use Ï€ = 22â„7)
(A) 40 m2
(B) 44 m2
(C) 52.8 m2
(D) 36 m2
(E) None of these
Rationale: Required area covered in 5 revolutions
= 6 Ã— 2Ï€rh = 6 Ã— 2 Ã— 22â„7 Ã— 0.7 Ã— 2 = 52.8 m2
Answer C
Answer: (C) 52.8 m2
Question: A is four times as fast as B. If B alone can do a piece of work in 60 days, in what time can A and B together complete the work?
(A) 10
(B) 12
(C) 22
(D) 28
(E) 20
Rationale: A can do the work in 60/4 i.e., 15 days.
A and B's one day's work = 1/15 + 1/60 = (4 + 1)/60 = 1/12
So A and B together can do the work in 12 days.
Answer: B
Answer: (B) 12
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
(A) 17
(B) 21
(C) 31
(D) 45
(E) 47
Rationale: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation
larger number – smaller number = 7
which is equivalent to
Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.
C
Answer: (C) 31
Question: The owner of an art shop conducts his business in the following manner. Every once in a while he raises his prices fo x%, then a while later he reduces all the new prices by x%. After one such up-down cycle the price of a painting decreased by $ 441. After a second up-down cycle the painting was sold for $ 1944.81. What was the original price of the painting in $?
(A) 2756.25
(B) 2256.25
(C) 2500
(D) 2000
(E) 5000
Rationale: firstly, i will eliminate E because it's too much..
the 1st time reduction is 441
but the price after 2 times reduction is 1944.81
So, we can cut D and B ..
now only 2756 and 2500 left
the final price is 1944.81..
C); 2500 - 1944 = ~550
B); 2756 - 1944 = ~800
because the first reduction is 441 so the 2nd reduction should be lower than 441
but in C ; 550-441 = ~110 .. its too much reduction in the 2nd round
so B; 800-441 = ~ 360 seems quite good..
ANSWER:B
Answer: (B) 2256.25
Question: A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find the length and breadth of the lawn.
(A) 50
(B) 30
(C) 20
(D) 40
(E) 10
Rationale: Let length = 2x meters and breadth = 3x meter.
Now, area = (1/6 )x 1000 m2 = 5000/3m2
So, 2x * 3x = 5000/3 <=> x2 = 2500/9 <=> x = 50/3
therefore Length = 2x = (100/3) m = 33(1/3) m and Breadth = 3x = 3(50/3) m = 50m.
Answer is A
Answer: (A) 50