mathewhe/aqua_rat huggingface dataset:
Question: Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
(A) $33.75
(B) $47.25
(C) $60.75
(D) $54.00
(E) $70.00
Rationale: Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*4.5+ 3*4.5*2.0=60.75
Answer C
Answer: (C) $60.75
Question: A cylindrical cube of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is :
(A) 7 cm
(B) 8.5 cm
(C) 9 cm
(D) 9.5 cm
(E) None
Rationale: Sol.
Let the radius of the ball be r cm.
Volume of ball = Volume of water displaced by it.
∴ 4/3 ∏r³ = ∏ * 12 * 12 * 6.75
⇒ r³ = 9 * 9 * 9 ⇒ r = 9 cm.
Answer C
Answer: (C) 9 cm
Question: 9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?
(A) 9
(B) 10
(C) 11
(D) 12
(E) 15
Rationale: Explanation:
Let required number of hours be x
More examiners, less hours (indirect proportion)
More days, less hours (indirect proportion)
More answer books, more hours (direct proportion)
Hence we can write as
(examiners) 9:4
(days) 12:30
(answer books) 2:1 }::x:5
⇒9×12×2×5=4×30×1×x
⇒x=9×12×2×5/4×30×1
=9×3×2×5/30
=9×2×5/10
=9
Answer: Option A
Answer: (A) 9
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
(A) 5 min
(B) 2 min
(C) 6 min
(D) 10 min
(E) 3 min
Rationale: Explanation:
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km =(9/24*60)=10 min
ANSWER:D
Answer: (D) 10 min
Question: what is the least number. which should be added to 0.0478 to make it a perfect square?
(A) 0.0002
(B) 0.0004
(C) 0.0006
(D) 0.0008
(E) 0.001
Rationale: 0.0478+0.0006=0.0484
(0.22)^2
ANSWER:C
Answer: (C) 0.0006
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
(A) 276
(B) 299
(C) 322
(D) 345
(E) 355
Rationale: Clearly, the numbers are (23 x 13) and (23 x 15).
Larger number = (23 x 15) = 345. Answer: Option D
Answer: (D) 345
Question: A painting 2 inches wide is placed around a rectangular board with dimensions 8 inches by 12 inches. What is the area of the painting, in square inches?
(A) 144
(B) 196
(C) 96
(D) 144
(E) 128
Rationale: This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.
We're told that a painting 2 inches wide is placed around a rectangular board with dimensions 8 inches by 12 inches. We're asked for the area of the painting , in square inches.
Area of a rectangle = (length)(width)
So the area of the board is... (8)(12) = 96
The painting 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...
(8+2+2)(12+2+2) = (12)(16) = 196
When we 'punch out' the area of the rectangular board , we'll be left with the area of the FRAME:
192 - 96 = 96
Final Answer:
C
Answer: (C) 96
Question: A can do a work in 10days and B can do the same work in 8 days. They work together for 3days and then A goes away. In how many days will B finish the work?
(A) 11/17days
(B) 21/40days
(C) 31/40days
(D) 14/21days
(E) 15/31days
Rationale: A+B can do the work in 3 days = 3( 1/10 + 1/8) = 9/40
Rest of the work = 1 - 9/40 = 31/40
B will do the rest of the work in = 1 - 9/40 = 31/40days
Answer is C
Answer: (C) 31/40days
Question: Ron has a cycle worth $ 1800 and he wants to sell it at a profit of $ 220. What should cycles selling price be?
(A) 2690
(B) 1790
(C) 1890
(D) 2020
(E) 2300
Rationale: Cost Price = $ 1800
Profit = $ 220
Selling Price = Cost Price + Profit
Selling Price = 1800 + 220
= $ 2020
Selling price of the cycle = $ 2020 ANSWER : D
Answer: (D) 2020
Question: Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
(A) 2443200
(B) 3643200
(C) 5443200
(D) 1443200
(E) 2163200
Rationale: Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
A. 24
B. 36
C. 72
D. 144
E. 216
Choosing the digit for p - 9 ways;
Choosing the digit for q - 8 ways;
Choosing the digit for r - 7ways;
Choosing the digit for s - 6ways;
Choosing the digit for t - 5ways;
# of permutations of 3 digits in ppqrst - 6!/2!
Total: 9*8*7*6*5*6!/2!=5443200.
Answer: C.
Answer: (C) 5443200
Question: A certain sum of money at simple interest amounted Rs.980 in 3 years at 5% per annum, find the sum?
(A) 867
(B) 855
(C) 299
(D) 852
(E) 903
Rationale: 980 = P [1 + (3*5)/100]
P = 852
Answer: D
Answer: (D) 852
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
(A) 2000
(B) 2500
(C) 2400
(D) 2600
(E) 1500
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
ANSWER A
Answer: (A) 2000
Question: If 6^e is a factor of (10!)^2, What is the greatest possible value of e ?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: e 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7
6= 2*3
Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -> higher number counts = 8 -> Answer Choice D
Answer: (D) 8
Question: A salt manufacturing company produced a total of 2500 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
(A) 100
(B) 105
(C) 109
(D) 120
(E) 90
Rationale: Total production of salt by the company in that year = 2500 + 2600 + 2700 + .... + 3600 = 36600.
Average monthly production of salt for that year = 36600/365 â‰ˆ 100
ANSWER:A
Answer: (A) 100
Question: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
(A) 2,420
(B) 6,435
(C) 12,100
(D) 12,870
(E) 25,740
Rationale: Since we are given atleast one symmetric letter in the three letter word we can take the following cases
1. All two
2. One symmetry and other two non
4. All the two letters can be arranged in 2 ways
( 11c2+ 11c1 * 15c2) *2
( 11*10/ 2 + 11 * 15 * 14 / 2 ) * 2
2420
IMO option A is the correct answer..
OA please...will correct if I missed anything..
Answer: (A) 2,420
Question: A certain kind of necklace is made from 9 gold, 6 blue, and 3 white beads. What is the maximum number of these necklaces that can be made from 36 beads of each color ?
(A) 8
(B) 4
(C) 6
(D) 5
(E) 4
Rationale: Atleast 9 gold breads are needed to make a necklace, so irrespective of the combinations of blue and white beads, the number of necklaces that can be formed will be
36/9 =4
Answer:- E
Answer: (E) 4
Question: A ladies hostel had provision of food for 200 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
(A) 28.97
(B) 28.0
(C) 28.47
(D) 27.47
(E) 29.47
Rationale: Explanation :
After 10 days : 200 women had food for 25 days.
Suppose 175 women had food for x days.
Now, Less women, More days (Indirect Proportion)
175 : 200 :: 25 : x
=> 175 x x = 200 x 25
=> x = 200 x 25 / 175
=> x =28.47
Answer : C
Answer: (C) 28.47
Question: A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters, at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What is the probability that the toy train produces 3 music tunes of the same type (1 in _____ ) ?
(A) 3
(B) 9
(C) 8
(D) 4
(E) 5
Rationale: 1/2^3=1/8 but here der r two types of tone and we need to find the odds of d train of two tones to form 3 tones consequently so 2*1/8= 1/4 so ans is 4
ANSWER:D
Answer: (D) 4
Question: Average of 10 matches is 34, How many runs one should should score to increase his average by 5 runs.
(A) A)70
(B) B)76
(C) C)78
(D) D)89
(E) E)88
Rationale: Explanation:
Average after 11 innings should be 39
So, Required score = (11 * 39) - (10 * 34)
= 429 - 340 = 89
Answer: Option D
Answer: (D) D)89
Question: If x and y are integers, then xy(x + y) is
(A) Always positive
(B) Always negative
(C) Positive when x is positive
(D) Negative when x is negative
(E) It cannot be determined by the information given
Rationale: If you consider the case where x = 0 or y = 0, the result is zero regardless of the value (be it positive or negative) of the other variable.
so given that x < 0 (i.e, x is negative) and y = 0, the result = 0.
Answer is E
Answer: (E) It cannot be determined by the information given
Question: How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?
(A) 25
(B) 30
(C) 45
(D) 64
(E) 60
Rationale: Explanation :
Speed of train relatively to man = ( 30 - 6)km/hr
= 24 km /hr
= (24 x 5 / 18)m/sec
= 6.66 m/sec
Time taken to pass the man = (400/ 6.66)sec = 60 sec.
Answer : E
Answer: (E) 60
Question: Let x be a positive integer, what is the remainder when 4^(2x+5)+3 is divided by 5?
(A) 2
(B) 3
(C) 4
(D) 1
(E) 5
Rationale: For: (4^(2x+5)+3)/5
Let n = 2x + 5
4^n
4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256, last digit pattern repeats 4, 6, 4, 6, ....
Rule: x^(m+n) = (x^m)(x^n)
(4^(2x))(4^5)
Rule: x^(mn) = (x^m)^n
(4^2)(4^x)(4^5) => Now, (6)(4)(4) + 3 = (6) + 3 => Finally, 9/5 and remainder is 4.
Answer: C
Answer: (C) 4
Question: Find the L.C.M of 36,90,210
(A) 630
(B) 2520
(C) 1260
(D) 1360
(E) 1460
Rationale: 36=2^2*3^2 90=3^2*2*5 210=2*5*3*7
L.C.M=2^2*3^2*5*7=1260
Answer=(C)
Answer: (C) 1260
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 150,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
(A) 77,500
(B) 1,860,000
(C) 2,400,000
(D) 3,720,000
(E) 4,960,000
Rationale: 150,000 × 2 × 2×2×2 = 150,000 × 16 = C
Answer: (C) 2,400,000
Question: The value of y^2+2y-(2yy) when y=3 is:
(A) -2
(B) -3
(C) 4
(D) -1
(E) 2
Rationale: 3^2+2*3-(2*3*3)
9+2*3-(18)
9+6-18
15-18=-3
answer B
Answer: (B) -3
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
(A) 5.75
(B) 5.7
(C) 5.76
(D) 5.71
(E) 5.74
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Answer: (C) 5.76
Question: The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
(A) 11
(B) 27
(C) 21
(D) 92
(E) 20
Rationale: Explanation:
Let the cost of each pen and pencil be 'p' and 'q' respectively.
16p + 8q = 352 --- (1)
4p + 4q = 96
8p + 8q = 192 --- (2)
(1) - (2) => 8p = 160
=> p = 20
Answer: E
Answer: (E) 20
Question: list of salaries of 7 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $30,000, $27,000, $32,000
(A) $28,000
(B) $28,500
(C) $30,200
(D) $31,000
(E) $31,500
Rationale: Ordering the data from least to greatest, we get:
$27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000
Since there is an odd number of items in the data set, we compute the median by taking the middle number
The median salary is $31,000.
Answer : D
Answer: (D) $31,000
Question: The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible?
(A) 4.
(B) 5.
(C) 6.
(D) 8.
(E) 10.
Rationale: firstly factors of 120 = 1,2,3,4,5,6,8,10,12,15,20,24,30,40,... etc...
the questions says each row will have airplanes not less than 4 and not more than 30,
therefore, we should be interested in the factors starting from 4 till 30 (inclusive)
4(in each row) * 30(number of columns) =120, similarly
5 * 24
6 * 20
8 * 15
10 * 12
12 * 10
15 * 8
20 * 6
24 * 5
30 * 4
total possibilities = 10
option E
Answer: (E) 10.
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
(A) 140 sq.units
(B) 219 sq.units
(C) 287 sq.units
(D) 216 sq.units
(E) 289 sq.units
Rationale: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10
= 140 sq.units
Answer: A
Answer: (A) 140 sq.units
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many T kilometers per hour did Tammy walk on the second day?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 6
Rationale: Ans: C
Total time = 14 hrs
Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8
speed * time = distance
s*8 + (s+0.5)(8-2) = 52
solving s = 4.5
now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4
Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.
8s+6s+3=52
14s=49
s=3.5
Answer: (C) 4
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.5, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
(A) 0.06
(B) 0.12
(C) 0.21
(D) 0.29
(E) 0.28
Rationale: The probability that eachdoesn'thit is: 0.5, 0.8, and 0.7. When we have multiple independent events, we multiply the probabilities:
.5*.8*.7 = 0.28.
Option: E
Answer: (E) 0.28
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
(A) 2134
(B) 2234
(C) 2540
(D) 2560
(E) 5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: (E) 5184
Question: If x and y are both prime numbers greater than 10, which of the following CANNOT be true?
I. xy is an even number.
II. The difference between x and y equals 117.
III. The sum of x and y is even.
(A)  I only
(B)  II and III only
(C)  I and III only
(D)  I and II only
(E)  I, II and III
Rationale: MANHATTAN GMATOFFICIAL SOLUTION:
Since x and y are both prime numbers greater than 10, they must both be odd. Therefore xy must be an odd number, so Statement I cannot be true. Similarly, if x and y are both odd, then x - y cannot equal 117 (an odd number). This difference must be even. Therefore, Statement II cannot be true. Finally, since x and y are both odd, x + y must be even, so Statement III will always be true. Since Statements I and II CANNOT be true, but Statement III IS true,the correct answer is (D).
Answer : D
Answer: (D)  I and II only
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
(A) 399
(B) 383
(C) 120
(D) 288
(E) 133
Rationale: When compounded annually, interest
= 12000[1 + 20/100]1 - 12000 = Rs.2400
When compounded semi-annually, interest
= 12000[1 + 10/100]2 - 12000 = Rs.2520
Required difference = 2520 - 2400 = Rs.120
Answer: C
Answer: (C) 120
Question: Two cars cover the same distance at the speed of 50 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
(A) 212 km
(B) 214 km
(C) 224 km
(D) 216 km
(E) 204 km
Rationale: 50(x + 1) = 64x
X = 3.57
60 * 3.57 = 214 km
ANSWER:B
Answer: (B) 214 km
Question: 1 barrel of gas is enough to power the lawnmower to mow both you and your neighbor's lawn 15 times before refilling. You're son decided he's going take over mowing these lawns and also mow 6 more neighbor's lawns. How many times will he be able to mow your lawn and the neighbor's lawns before refilling the barrel of gas?
(A) 4.15
(B) 2.75
(C) 1.875
(D) 3.75
(E) 5
Rationale: First set up a ratio with all the relevant values and also the unknown variable:
2*15 = 8*x
Now solve by multiplying 2 by 15 and then dividing that product by 8:
2*15 = 30
30/8 = x
x = 3.75
The value of x equals how many times 8 lawns can be mowed on one 1 barrel of gas.
Answer: D
Answer: (D) 3.75
Question: In a public show 60 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
(A) 100
(B) 110
(C) 120
(D) 140
(E) 240
Rationale: 75 % of 600
= 60/100 × 600
= 360
Therefore, the number of vacant seats = 600 - 360 = 240.
Answer:E
Answer: (E) 240
Question: 5,9,18,30,50,__
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83
Rationale: (9+5) +4 = 18
(16+9) +5 = 30
(28+16)+6 = 50
(48+28)+7 = 83
ANSWER:E
Answer: (E) 83
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
(A) 72
(B) 25
(C) 14
(D) 65
(E) 18
Rationale: Sol. The given word contains 5 different letters.
Taking the vowels EA together, we treat them as one letter.
Then, the letters to be arranged are XTR (EA).
These letters can be arranged in 4! = 24 ways.
The vowels EA may be arranged amongst themselves in 2! = 2 ways.
Number of words, each having vowels together = (24x2) = 48 ways.
Total number of words formed by using all the letters of the given words
= 5! = (5x4x3x2x1) = 120.
Number of words, each having vowels never together = (120-48) = 72.
Ans:A
Answer: (A) 72
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
(A) 33
(B) 77
(C) 28
(D) 90
(E) 28
Rationale: 1/9 - 1/x = 1/10
=> 90 hrs
Answer:D
Answer: (D) 90
Question: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?
(A) AC/B
(B) (A+C)/B
(C) (A+B)/C
(D) AB/C
(E) (A-C)/B
Rationale: Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only C does not yield an integer.
Answer: (C) (A+B)/C
Question: Some of the 68% solution of acid was removed and this was replaced with an equal amount of 11% solution of acid. As a result, a 35% solution of acid was obtained. What fraction of the original solution was replaced?
(A) 7/11
(B) 7/17
(C) 8/17
(D) 8/19
(E) 11/19
Rationale: Let x be the fraction of the original solution that was replaced.
0.68*(1-x)+0.11(x)=0.35
0.57x=0.33
x=33/57=11/19
The answer is E.
Answer: (E) 11/19
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. After how much time will they meet for the first time at the starting point?
(A) 120 sec
(B) 176 sec
(C) 178 sec
(D) 72 sec
(E) 189 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 600/ (30 * 5/18) , 600/ (60 * 5 /18) }
= 72 sec.
Answer: D
Answer: (D) 72 sec
Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 10 hours and M worked for 4 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
(A) a)4y
(B) b)5y
(C) c)6y
(D) d)8y
(E) e)9y
Rationale: J and M were both paid x dollars
If M gave Y dollars from her X to J then at the end
J will have X+Y dollars
M will have X- Y dollars
Now since the hourly wages have to be same then
Hourly wage of J = (X+Y) / 10 (Since J worked for 10 hrs)
Hourly wage of M = (X-y) /6 (Since M worked 4 hrs less than J)
Equating both
(X+Y)/10=(X-Y)/6
on simplifying X=4y
Answer A
Answer: (A) a)4y
Question: In a certain sequence , the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
(A)  3/5
(B)  5/8
(C)  8/5
(D)  5/3
(E)  9/2
Rationale: First term = 1
Second term = (1/1)+ 1 = 2
Third Term = (1/2)+1 = 3/2
Forth Term = [1/(3/2)]+1 = 5/3
Fifth Term = [1/(5/3)]+1 = 8/5
Answer: Option C
Answer: (C)  8/5
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
(A) 4%
(B) 4.04%
(C) 4.12%
(D) 4.17%
(E) 4.18%
Rationale: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]
= (102 + 100) x (102 - 100)
= 404 cm2.
Percentage error = 404 x 100 % = 4.04%
100 x 100
B
Answer: (B) 4.04%
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480
(B) 287
(C) 289
(D) 270
(E) 600
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 5 = 600
Answer: E
Answer: (E) 600
Question: Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza pad one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?
(A) $15
(B) $13
(C) $17
(D) None of these
(E) Cannot be determined
Rationale: Explanation :
Mayank paid 1/2 of what others paid.
=> Mayank paid 1/3 rd of the total amount = $20.
Similarly, Mirza paid $15 and Little paid $12.
Remaining amount of $60 - $20 - $15 - $12 = $13 is paid by Jaspal.
Answer : B
Answer: (B) $13