mathewhe/aqua_rat huggingface dataset:
Question: Evaluate 20% of 450 + 45% of 200
(A) 232
(B) 242
(C) 252
(D) 262
(E) 180
Rationale: Explanation:
= (20/100) * 450 + (45/100) * 200
= 180
Option E
Answer: (E) 180
Question: A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
(A) 30
(B) 39
(C) 87
(D) 27
(E) 91
Rationale: Let the side of the square(ABCD) be x meters.
Then, AB + BC = 2x metres.
AC = = (1.41x) m.
Saving on 2x metres = (0.59x) m.
Saving % = = 30% (approx)
Answer:A
Answer: (A) 30
Question: Convert 150 inches into centimeter?
(A) 312cm
(B) 381cm
(C) 350cm
(D) 310cm
(E) 354cm
Rationale: 1 inch = 2.54cm
150 inches = 110*2.54 = 381cm
Answer is B
Answer: (B) 381cm
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
(A) 800
(B) 880
(C) 720
(D) 1500
(E) 1110
Rationale: The word 'OPTICAL' has 7 letters. It has the vowels 'O','I','A' in it and these 3 vowels should always come together. Hence these three vowels can be grouped and considered as a single letter. That is, PTCL(OIA).
Hence we can assume total letters as 5 and all these letters are different.
Number of ways to arrange these letters
=5!=5×4×3×2×1=120
All the 3 vowels (OIA) are different
Number of ways to arrange these vowels among themselves
=3!=3×2×1=6
Hence, required number of ways
=120×6=720
C
Answer: (C) 720
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
(A) 36 1/3%
(B) 37 1/3%
(C) 33 1/3%
(D) 33 1/8%
(E) 31 1/3%
Rationale: 1/4 CP = 210 SP = 21*(80/100) = 168
SP = 840*(120/100) = 1008
1008 - 168 = 840
3/4 SP = 630
Gain = 210
630 --- 210
100 --- ? => 33 1/3%
Answer:C
Answer: (C) 33 1/3%
Question: What number comes next in this Number series.
3 4 4 6 9 7 8 ?
*Hint: check calender
(A) 8
(B) 3
(C) 6
(D) 1
(E) 9
Rationale: E
8 (the number of letters in the month December)
May : 3 letters
June : 4 letters
July : 4 letters
August: 6 letters
September : 9 letters
October : 7 letters
November : 8 letters
Answer: (A) 8
Question: A chair is bought for Rs. 800/- and sold at a loss of 10% find its selling price
(A) Rs. 720/-
(B) Rs. 600/-
(C) Rs. 630/-
(D) Rs. 820/-
(E) Rs. 970
Rationale: Explanation:
100 % ------> 800 (100 * 8 = 800)
90 % ------> 720 (90 * 8 = 720)
Selling price = Rs. 720/-
Answer: Option A
Answer: (A) Rs. 720/-
Question: The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area E of that hemisphere?
(A)  6/π
(B)  9/π
(C)  6
(D)  9
(E)  12
Rationale: Given Area of the base of a hemisphere is 3 = PI * R^2
Thus R = Sqrt ( 3 / PI ) .
Surface area of whole sphere = 4*PI*R^2 .
= 4 * PI * 3 / PI
= 12 .
Since the hemisphere is half of a sphere the Surface area of the hemisphere = 12 / 2
= 6 ( curved part , not including the flat rounded base ) .
But the total surface area = 6 + Area of the base of a hemisphere .
= 6 + 3
= 9.
Answer is D !!
Answer: (D)  9
Question: A person purchased a TV set for Rs. 1000 and a DVD player for Rs. 650. He sold both the items together for Rs. 2500. What percentage of profit did he make?
(A) 51.51%
(B) 96.96%
(C) 10.11%
(D) 15.12%
(E) 23.32%
Rationale: The total CP = Rs. 1000 + Rs. 650
= Rs. 1650 and SP = Rs. 2500
Profit(%)
= (2500 - 1650)/1650 * 100
= 51.51%
Answer: A
Answer: (A) 51.51%
Question: What is the probability of getting a sum 9 from two throws of a dice?
(A) 5/5
(B) 1/9
(C) 5/1
(D) 5/7
(E) 5/2
Rationale: In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
The probability = 4/36 = 1/9.
Answer: B
Answer: (B) 1/9
Question: On a ferry, there are 38 cars and 12 trucks. The cars have an average mass of 950 kg and the trucks have an average mass of 3100 kg. What is the average mass of all 50 vehicles on the ferry?
(A) 1442
(B) 1448
(C) 1454
(D) 1460
(E) 1466
Rationale: The total mass of the vehicles is 38*950+12*3100=73300
The average mass is 73300/50=1466
The answer is E.
Answer: (E) 1466
Question: How long will a boy take to run round a square field of side 20 meters, if he runs at the rate of 12km/hr?
(A) 52sec
(B) 45sec
(C) 60sec
(D) 24sec
(E) 39sec
Rationale: Speed = 12 km/hr = 12*5/18 = 10/3 m/sec
Distance = 20*4 = 80m
Time taken = 80*3/10 = 24sec
Answer is D
Answer: (D) 24sec
Question: In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Rationale: Explanation :
Let the number of persons be n
âˆ´ total handshakes = nC2 = 105
n(n-1)/2 = 105 âˆ´ n = 15
Answer : A
Answer: (A) 15
Question: A collection of books went on sale, and 2/3 of them were sold for $3.50 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?
(A) $180
(B) $250
(C) $260
(D) $280
(E) $300
Rationale: If 40 books constitute 1/3rd of the total, then 2/3rd of the total = 80 books
Amount received for sold books = 80 * 3.5 = $280
Answer :D
Answer: (D) $280
Question: Of the three-digit integers greater than 500, how many have two digits that are equal to each other and the remaining digit different from the other two?
(A)  90
(B)  82
(C)  80
(D)  45
(E)  36
Rationale: To satify the given condition,
required no. of cases = total numbers - numbers with all digits different - numbers when all three digits are same,
number greater than 700;
total numbers = 1*10*10 = 100
numbers with all digits different = 1*9*8 = 72
numbers when all three digits are same (777) = 1
req. = 100- 72 - 1 = 27
considering the numbers between 700999 = 27*3=46
Answer is 80 ('cause 700 can't be included)
Answer (D).
Answer: (D)  45
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 12th and the 20th terms?
(A) 324
(B) 335
(C) 346
(D) 357
(E) 368
Rationale: The first term is 8 = 11 – 3. The second term is 19 = 22 – 3, the third term is 30 = 3 × 11 – 3, the fourth term is 41 = 4 × 11 – 3, etc.
Thus, 11n – 3 describes the values in the sequence where n is the number of the term.
The 12th term is 12 × 11 – 3 = 129
The 20th term is 20 × 11 – 3 = 220 – 3 = 217.
The sum of these two values is 346.
The correct answer is choice (C).
Answer: (C) 346
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 39?
(A) 3
(B) 8
(C) 12
(D) 32
(E) 35
Rationale: n = 5p + 1 = 6,11,16,21,26,31
n = 7q + 3 = 3,10,17,24,31
=>n = 39m + 31
To get this, we need to take LCM of co-efficients of p and q and first common number in series.
So we need to add 8 more to make it
39m + 39
Answer - B
Answer: (B) 8
Question: The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 45. Then find the average for the last four matches?
(A) 33.25
(B) 33.5
(C) 34.25
(D) 29.75
(E) none
Rationale: Solution
Required average	=(38.9 x 10)-(45 x 6)/ 4
= 119 / 4.
= 29.75
Answer D
Answer: (D) 29.75
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 2 metres then what will be the area of the square so formed?
(A) 133 cm2
(B) 276 cm2
(C) 2500 cm2
(D) 576 cm2
(E) None of these
Rationale: Let the side of the square be x m.
∴ Perimeter of the square = 48 × 2 = 4x ∴ x = 24 m
∴ Area = (24)2 = 576 m2
Answer D
Answer: (D) 576 cm2
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 7° east of north, in what direction was it originally flying?
(A) (a) 30° west of north
(B) (b) 30° east of north
(C) (c) 18° west of north
(D) (d) 18° east of north
(E) (e) 5° west of north
Rationale: After a turn of 25° you are 7°North East, with a 18° turn you would be perfectly pointing at north. So you were, before the turn, 18° to the other side (West).
Answer C)
Answer: (C) (c) 18° west of north
Question: How many of the positive factors of 45 , 16 and how many common factors are there in numbers?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: factors of 45 - 1, 3, 9, 15 and 45
factors of 16 - 1 , 2, 4, 8 and 16
Comparing both, we have three common factors of 45,16-1
Answer(A)
Answer: (A) 1
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
(A) Rs. 169
(B) Rs. 169.50
(C) Rs. 175.50
(D) Rs. 180
(E) Rs. 180.50
Rationale: Since first and second varieties are mixed in equal proportions.
So, their average price = Rs. 126 + 135 = Rs. 130.50
2
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50	Mean Price
Rs. 153	Rs. x
(x - 153)	22.50
x - 153	= 1
22.50
x - 153 = 22.50
x = 175.50
Option C
Answer: (C) Rs. 175.50
Question: A fair die is rolled once and a fair coin is flipped once. What is the probaility that either the die will land on 3 or that the coin will land on heads?
(A) 5/12
(B) 7/12
(C) 11/12
(D) 3/4
(E) 7/4
Rationale: Event A = Fair die is rolled once
Event B = Fair coin is flipped once.
P(A or B) = P(A) + P(B) - P(A and B)
= 1/6 + 1/2 - (1/6)(1/2)
= 7/12
ANSWER B
Answer: (B) 7/12
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 3 second to produce a bolt but 1 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,000 nuts and 1,000 bolts?
(A) 1,250 seconds
(B) 1,500 seconds
(C) 1,750 seconds
(D) 2,000 seconds
(E) 3,000 seconds
Rationale: To minimize the amount of time, we should make both machines work all the time while producing 1,000 nuts and 1,000 bolts.
Two machines to produce 1,000 bolts will need (1,000*3)/2 = 1500 seconds.
Two machines to produce 1,000 nuts will need (1,000*1)/2 = 500 seconds.
Total = 1500 + 500 = 2000.
Answer: D
Answer: (D) 2,000 seconds
Question: A train takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
(A) 50 Kmph
(B) 54 Kmph
(C) 60 Kmph
(D) 59 Kmph
(E) 60 Kmph
Rationale: Time = 6
Distance = 540
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph
C)
Answer: (C) 60 Kmph
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 46 km/hr?
(A) 25
(B) 30
(C) 40
(D) 45
(E) 36
Rationale: Explanation :
Speed of train relatively to man = ( 46 - 6)km/hr
= 40 km /hr
= (40 x 5 / 18)m/sec
= 11.11 m/sec
Time taken to pass the man = (400/ 11.11)sec = 36 sec.
Answer : E
Answer: (E) 36
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
(A) 60%
(B) 50%
(C) 25%
(D) 20%
(E) 10%
Rationale: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 55 - {both} + 40
{both} = 20%.
Answer: D.
Answer: (D) 20%
Question: The volume of water inside a swimming pool doubles every hour. If the pool is filled to its full capacity within 8 hours, in how many hours was it filled to one quarter of its capacity?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: D
Answer: (D) 6
Question: A pair of prime numbers that can be expressed in the form K{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
(A)  11
(B)  13
(C)  17
(D)  19
(E)  23
Rationale: definetly a sitter.plug in the values for middle term and calculate.We can see clearly that K for 19 , 19+6 gives 25 which is not a prime
therefore correct answer D
Answer: (D)  19
Question: While working alone at their respective constant rates, server B uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
(A)  2 hr
(B)  2hr 20 min
(C)  2hr 40 min
(D)  5 hr 40 min
(E)  6hr
Rationale: Server B processes 480/4 files per hour = 120 per hour
Server Y processes 180/8 files per hour = 60 per hour
Total files processed per hour when B and Y work together = 120+60 per hour = 180 files per hour
480/180 = 2 2/3 hours=C
Answer: (C)  2hr 40 min
Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
(A) 98
(B) 76
(C) 23
(D) 16
(E) 12
Rationale: Average = total runs / no.of innings = 32
So, total = Average x no.of innings = 32 x 10 = 320.
Now increase in avg = 4runs. So, new avg = 32+4 = 36runs
Total runs = new avg x new no. of innings = 36 x 11 = 396
Runs made in the 11th inning = 396 - 320 = 76
Answer B
Answer: (B) 76
Question: If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have?
(A) 7
(B) 5
(C) 6
(D) 8
(E) 9
Rationale: take the example of 4...
it has 3 positive divisors (1,2,4)
Now, take the example of 64...
it has only 7 divisors..
so A is the ans
Answer: (A) 7
Question: Two employees M and N are paid a total of $605 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
(A) $245
(B) $255
(C) $265
(D) $275
(E) $285
Rationale: 1.2N + N = 605
2.2N = 605
N = 275
The answer is D.
Answer: (D) $275
Question: When 50 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
(A) 3 : 4
(B) 4 : 5
(C) 3 : 2
(D) Data inadequate
(E) None of these
Rationale: Let the first and the second numbers be x and y respect then
y + 50% of x = 140% of y
or, y + 0.5x = 1.4y
or, 0.5x = 0.4y
∴ x : y = 0.4 : 0.5 = 4 : 5
Answer B
Answer: (B) 4 : 5
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $150,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
(A) $35,000
(B) $45,000
(C) $50,000
(D) $65,000
(E) $75,000
Rationale: Another method is to get ratios
Say 30000=a and
We know the # of people are in 1:5 ratio
Average=(5a*1+a*5)/6= 10a/6=50000
Answer is C. $50,000
Answer: (C) $50,000
Question: Together, 15 type A machines and 7 type B machines can complete a certain job in 4 hours. Together 8 type B machines and 15 type C machines can complete the same job in 11 hours. How many Q hours would it take one type A machine, one type B machine, and one type C machine working together to complete the job (assuming constant rates for each machine)?
(A)  22 hours
(B)  30 hours
(C)  44 hours
(D)  60 hours
(E)  It cannot be determined from the information above.
Rationale: Say the rates of machines A, B and C are a, b, and c, respectively.
Together 15 type A machines and 7 type B machines can complete a certain job in 4 hours --> 15a + 7b = 1/4;
Together 8 type B machines and 15 type C machines can complete the same job in 11 hours --> 8b + 15c = 1/11.
Sum the above: 15a + 15b + 15c = 1/4 + 1/11 = 15/44 --> reduce by 15: a + b + c = 1/44 --> so, the combined rate of the three machines is 1/44 job/hour --> time is reciprocal of the rate, thus machines A, B and C can do the job Q in 44 hours.
Answer: C.
Answer: (C)  44 hours
Question: The price of pulses has fallen by 35. How many quintals can be bought for the same amount which was sufficient to buy 24 quintals at the higher price?
(A) 20.0
(B) 22.5
(C) 25.8
(D) 36.9
(E) 32.5
Rationale: 80% of original price can buy = 24 quintals.
Therefore, he can buy ( 24 x 100 )/ 65 = 36.9 quintals at the lower price.
ANSWER:D
Answer: (D) 36.9
Question: A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
(A) 3
(B) 7.5
(C) 2.25
(D) 1.5
(E) 4
Rationale: M = 9
S = x
DS = 9 + x
US = 9 - x
9 + x = (9 - x)2
9 + x = 18 -2x
3x = 9
x = 3
ANSWER:A
Answer: (A) 3
Question: Two friends run the New York City marathon, one friend finishes the marathon in 400 minutes while the second friend finishes the marathon in 625 minutes. What is the ratio of their speed?
(A) 10 : 12
(B) 1 : 2
(C) 5 :10
(D) 20 : 25
(E) None
Rationale: Solution
Let us name the friends
as A and B.	= ( Friend A'S speed) : (Friend B's speed)
=âˆšb : âˆša
= âˆš400 : âˆš625
= 20 : 25
Answer D
Answer: (D) 20 : 25
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
(A) 18/35
(B) 18/38
(C) 18/36
(D) 18/16
(E) 18/31
Rationale: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability
= 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35
= 18/35
Answer: A
Answer: (A) 18/35
Question: What is the lowest positive integer that is divisible by 4 through 7, inclusive?
(A) 77
(B) 270
(C) 1600
(D) 840
(E) 980
Rationale: The integer should be divisible by: 4, 5, 6 and 7. The least common multiple of these integers is LCM=4*5*6*7=840
Answer: D
Answer: (D) 840
Question: A, B and C shared profits in ratio of 5 : 3 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
(A) 10 : 49 : 45
(B) 20 : 49 : 64
(C) 12 : 21 : 64
(D) 20 : 29 : 64
(E) 30 : 29 : 63
Rationale: Simply multiply profit sharing ratio with investment ratio to get investment amount ratio.
Let X is the total investment
â‡’14 x = 5
â‡’ 8 x = 3
â‡’ 7x = 8
â‡’ Final investment ratio = 12 : 21 : 64
C
Answer: (C) 12 : 21 : 64
Question: 1391 x 1391 = ?
(A) A)1951609
(B) B)1951601
(C) C)1951602
(D) D)1951603
(E) E)1934881
Rationale: 1391 x 1391	= (1391)2
= (1400 - 9)2
= (1400)2 + (9)2 - (2 x 1400 x 9)
= 1960000 + 81 - 25200
= 1960081 - 25200
= 1934881.
Answer:E
Answer: (E) E)1934881
Question: A type T machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type T machines and 3 type B machines working together and independently to complete the job?
(A) 1/5
(B) 29/35
(C) 5/6
(D) 35/29
(E) 35/12
Rationale: now D should be the answer.
T need 5 hours to complete
and B needs 7 hours to compete
so 2T + 3B will complete 2/5 + 3/7 or 29/35 portion of the job in 1 hour
so the whole job will take 35/29 hours....=D
Answer: (D) 35/29
Question: A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $1050?
(A) $3,000
(B) $3,150
(C) $4,000
(D) $4,150
(E) $6,000
Rationale: We're told that a sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. We're asked how many dollars’ worth of sales will bring her total weekly income to $1050.
Since the salesperson receives a $150 salary, the remaining $900 has to be accounted for by the 15% commission. Since those numbers are rather specific, we're likely dealing with a 'round number' for total sales.
Let's TEST Answer C: $4,000
Since 15% of $1,000 = $150
15% of $4,000 = 4($150) = $600
This is TOO HIGH (it's supposed to be $900), so we need a LOWER total sales figure.
Let's TEST Answer E: $6,000
Since 15% of $1,000 = $150
15% of $6,000 = 6($150) = $900
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
E
Answer: (E) $6,000
Question: Carina has 70 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Lets say 5 and 10 ounce packages be x and y respectively.
Given that, 5x+10y=70 and x=y+2. What is the value of y.
Substituting the x in first equation, 5y+10+10y=70 ->y=60/15.=4
C
Answer: (C) 4
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
(A) 3
(B) 4
(C) 6
(D) 9
(E) 12
Rationale: Rate of machine R =1/36
Rate of machine S =1/18
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/36 +x/18 =1/2
x3/36=1/2
x=36/6=6
So no of machine R is 6
Answer C
Answer: (C) 6
Question: Integers 3n+2 and 8n+1 are divisible by an integer p. If p is not equal to 1, then p equals to?
(A) 2
(B) 5
(C) 7
(D) 11
(E) 13
Rationale: If p divides 3n+2, then p divides 24n+16.
If p divides 8n+1, then p divides 24n+3.
Then p must equal 13.
The answer is E.
Answer: (E) 13
Question: A circular rim A having a diameter of 45 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
(A) 3x/2
(B) 4x/5
(C) 7x/5
(D) 5x/7
(E) 3x/4
Rationale: t = S1/V1 = S2/V2
or, 45/x = 30/y
or, y = 45x/30 = 3x/2 (Answer A)
Answer: (A) 3x/2
Question: You buy a piece of land with an area of âˆš625, how long is one side of the land plot?
(A) 28
(B) 29
(C) 30
(D) 31
(E) 25
Rationale: Try filling the numbers into the answer y x y =
Find the closest to 625.
Answer E
Answer: (E) 25
Question: A number a is squared and then multiplied by negative 1. The result of this operation is equal to 1 times the sum of 2times a and 1. What is one possible value of a ?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: -1*a^2=1(2a+1)
a= -1 or -1
a=-1=B
ANSWER:A
Answer: (A) 1
Question: Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $12,000 higher than Store B's revenues. In the second month, Store A's revenues were $8,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
(A)  $14,000
(B)  $15,000
(C)  $42,000
(D)  $46,000
(E)  $50,000
Rationale: Answer: CIt may be tempting to come up with a lot of variables, one each for each month's revenue for each company. However, focus on the differences. In the first month, the difference was +12 in favor of A. (Note that we can drop the thousands since every number in the question is in terms of thousands.) In the second, the difference was +8 in favor of A. The average was +2 in favor of A. With these numbers, use the average formula to find the third month (T):
(12 + 8 + T)/3 = 2
20 + T = 6
T = -14
Since positive numbers indicate a difference in favor of A, negative numbers are in favor of B. -14 represents a $14,000 advantage in favor of Store B. Choice (A) is correct.
Answer: (A)  $14,000
Question: What was the day of the week on, 15th July, 1776?
(A) Tuesday
(B) Wednesday
(C) Monday
(D) Saturday
(E) SUNDAY
Rationale: 16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)
Counting of odd days :
1600 years have 0 odd day.
100 years have 5 odd days.
75 years = (18 leap years + 57 ordinary years) = [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days.
1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day.
Jan Feb Mar Apr May Jun Jul
31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days= (28 weeks + 1 days)
Total number of odd days = (0 + 1) = 1.
Required day was 'Monday'.
Answer:C
Answer: (C) Monday