MU-NLPC/Calc-aqua_rat huggingface dataset:
The tax on a commodity is diminished by 14% and its consumption increased by 15%. The effect on revenue is? Choose the correct choice from the following answers
A) 2.1%  B) 8.1%  C) 5.1%  D) 6.1%  E) 1.1%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   86 * 115= 
86 * 115 = 9_890
9890   -----------   10000-----------110   100-----------?=> 1.1% decrease   Answer: 1.1%
Answer: E
Ten Students take a test. The scores of the test are as follows:
Student A:60
Student B:40
Student C:50
Student D:75
Student E:95
Student F:50
Student G:45
Student H:100
Student I:45
Student J:70
How many scores were greater than the median score but less than the mean score?	Choose the most appropriate option.
A) None
B) One
C) Two
D) Three
E) Four

Solution: List in order: 40,45,45,50,50,60,70,75,95,100   The median = (the average of two middle terms) = (50 + 60)/2= 
(50 + 60)/2 = 55
55.   The mean= (the sum)/(# of terms) = 630/10= 
630/10 = 63
63.   Only 60 is between 55 and 63.   Answer: One.
Answer: B
An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?
Choose the correct answer:  A) 6/13  B) 5/26  C) 6/26  D) 9/26  E) 10/27

Solution: Option(5/26) is correct   P(5/26oth are red), 6C2/13C2 = 5/26   ANSWER 5/26
Answer: B
A wooden box of dimensions 4 m x 2 m x 4 m is to carry rectangularboxes of dimensions 4 cm x 2 cm x 2 cm. The maximum number ofboxes that can be carried in the wooden box, is
Select.
A) 9800000 B) 2000000 C) 7500000 D) 1200000 E) None of these

Solution: Explanation: Number = (400*200*400)/4*2*2 = 2000000 Answer: 2000000
Answer: B
Machine A can finish a job in 4 hours, Machine В can finish the job in 3 hours, and Machine С can finish the job in 6 hours. How many hours will it take for A, B, and С together to finish the job?
Choose the correct answer:	A) 3/2	B) 4/3	C) 5/4	D) 6/5	E) 8/7

Solution: The combined rate is 1/4+1/3+1/6 = 9/12 of the job per hour.   The time to complete the job is 12/9 = 4/3 hours.   The answer is 4/3.
Answer: B
P and Q started a business investing Rs. 96,000 and Rs. 28,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?	Choose the correct choice from the following options.
A) 17:6 B) 24:7 C) 25:6 D) 21:3 E) 17:4

Solution: P:Q = 96000 : 28000   = 24:7   Answer:24:7
Answer: B
Harkamal purchased 8kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?	Choose the correct choice from the following answers: A) A)1000 B) B)1055 C) C)1065 D) D)1135 E) E)1080

Solution: Cost of 8 kg grapes = 80 × 8 = 640.   Cost of 9 kg of mangoes = 55 × 9 = 495.   Total cost he has to pay = 640 + 495= 
640 + 495 = 1_135
1135.   1135)
Answer: D
The average weight of 16 girls in a class is 50.25 kg and that of the remaining 8 girls is 45.15 kg. Find the average weights of all the girls in the class. Choose the correct answer:
A) A)48.55
B) B)49
C) C)51
D) D)61
E) E)62

Solution: Required average   = (50.25 x 16 + 45.15 x 8)/(16 + 8)   = (804 + 361.20)/24   = 1165.20/24= 
1165.20/24 = 48.55
48.55kg   48.55nswer is 48.55
Answer: A
A number of 41 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?  Select:
A) 13	B) 12	C) 15	D) 16	E) 17

Solution: To maximize # of boxes we should minimize marbles per box: 12*3+1*5= 
12*3+1*5 = 41
41 --> 12+1=13.   13nswer: 13.
Answer: A
On a test, students receive 2 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?	Choose the correct choice:
A) -2	B) -1	C) 0	D) 1	E) 2

Solution: For the minimum possible score, let us take the worst case scenario   Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C   In that case, he will get only 2 out of the first 3 qs right.   Therefore, minimum possible score=(2*2)-(4*1)= 
(2*2)-(4*1) = 0
0   Answer 0
Answer: C
When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?	Choose the correct answer.
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: When n is divided by 8, the remainder is 3 may be written as   n = 8 k + 3   multiply all terms by 6   6 n = 6(8 k + 3) = 8(6k) + 18   Write 18 as 16 + 2 since 16 = 8 * 2.   = 8(6k) + 16 + 2   Factor 8 out.   = 8(6k + 2) + 2   The above indicates that if 6n is divided by 8, the remainder is 2. The answer is 2.
Answer: C
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:  Choose the most appropriate option:  A) 29  B) 28  C) 600  D) 277  E) 191

Solution: T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.   Rate x Time	10 x 2   P.W. =	100 x T.D.	= Rs. 100 x 120 = Rs. 600.   Rate x Time	10 x 2   Answer: 600
Answer: C
In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed? Choices:  A) 23,400  B) 60,840  C) 67,600  D) 608,400  E) 175,760,000

Solution: The choices give us the answer without any calculations--   4 one digits places can take 10*10*10*10 ways..   3 letters places can be filled up in 26*26*26 ways   ans= 26*26*26*10*10*10*10=175,760,000   ans 175,760,000
Answer: E
If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?  Pick
A) 72 min  B) 25.11628 min  C) 70 min  D) 74.11682 min  E) 76 min

Solution: x=time for type 25.11628 min prolems   2x=time for type A problem   total time=3hrs=180min   185x+15*2x=180   x=180/215   x=0.837209   time taken for type A problem=15*2*0.837209=25.11628min   ANSWER:25.11628 min
Answer: B
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336	Choose the correct choice from the following options
A) 1 B) 4 C) 5 D) 7 E) 3

Solution: B   By using your calculator you can calculate that the following numbers are divisible by 132 : 264, 396, 792 and 6336.   Required number of number = 4.
Answer: B
Simplify: 18800+470+20
Choose the correct option.
A) 4	B) 1	C) 5	D) 2	E) 3

Solution: 18800+470+20=(18800/470)+20=40/20= 
40/20 = 2
2.   Answer is 2.
Answer: D
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State? Choose the correct choice from the following choices:
A) 6000 B) 7000 C) 8000 D) 9000 E) None

Solution: State A and State B had an equal number of candidates appeared.   In state A, 6% candidates got selected from the total appeared candidates   In state B, 7% candidates got selected from the total appeared candidates   But in State B, 80 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State B = 80   => total appeared candidates in State B = 80 x 100 = 8000   => total appeared candidates in State A = total appeared candidates in State B = 8000   8000)
Answer: C
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 30 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans? Choose the correct choice.
A) 65%	B) 70%	C) 75%	D) 82%	E) 95%

Solution: find the product of the two increases: (14/10) * (13/10) which is 1.82 and a 82% increase.   82%
Answer: D
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?  Choose the correct choice from the following options: A) 752 B) 450 C) 719 D) 750 E) 712

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 15 Ã¨ x = 15 * 60 / 2= 
15 * 60 / 2 = 450
450   Answer: 450
Answer: B
Sum of the squares of three numbers is 222 and the sum of their products taken two at a time is 131. Find the sum? Choices:  A) 22  B) 25  C) 26  D) 28  E) 29

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 222 + 2* 131   a + b + c = √484 = 22   22
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'MACHINE' is ? Answers.
A) 5030
B) 5039
C) 5010
D) 5033
E) 3000

Solution: Number of words which can be formed = 7! - 1   = 5040 - 1= 
5040 - 1 = 5_039
5039.   Answer:5039
Answer: B
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#36?
Select the correct option
A) 16 B) 17 C) 18 D) 19 E) 20

Solution: First, let's translate the expression 21#36, using the definition given:   21#36 = 21×24×27×30×33×36   We need the prime factorization of this product.   Let's factor out 3 from each multiple.   21#36 = 3^6(7×8×9×10×11×12)   Now let's replace each consecutive integer with its prime factorization:   21#36 = 3^6(7×2^3×3^2×(2×5)×11×(2^2×3))   Let's group the prime bases:   21#36 = 2^6×3^9×5×7×11   The sum of the exponents is  6 + 9 + 1 + 1 + 1= 
 6 + 9 + 1 + 1 + 1 = 18
18   The answer is 18.
Answer: C
The distance between two planets is 3.04 × 10^8 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years) Answers:
A) 9.3 × 10^5 B) 9.9 × 10^6 C) 9.3 × 10^7 D) 9.9 × 10^7 E) 10.1 × 10^8

Solution: 3.04*10^8 light years = 3.04*10^8/3.26 parsecs.   3.04/3.26 is a little bit less than 1, something like 0.9, thus 3.04*10^8/3.26 = ~0.93*10^8 = 9.3*10^7.   Answer: 9.3 × 10^7.
Answer: C
The distance between a food bank and a church is approximately 8.0 x 10^5 inches. Which of the following is closest to the distance between the food bank and the church, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)  Choose the correct choice from the following choices
A) 22.8  B) 23.4  C) 19.86  D) 20.5  E) 23.9

Solution: We know that 1 kilometer = 3.9x10^4 inches. Therefore, we now have a ratio of (1 kilometer/3.9x10^4 inches).   We also know that the distance between the food bank and the church is approximately 8.0x10^5 inches. To convert inches to kilometers, we need to multiply 8.0x10^5 inches by the ratio we just found out.   kilometers = 8.0x10^5 inches x (1 kilometer/3.9x10^4 inches) [note: "inches" cancel out, leaving us with just km]   km = 8.0x10^5/3.9x10^4 km   km = 20.51 = 20.5 km   Therefore, we can see that the closest answer is 20.5.
Answer: D
The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Pick
A) 3x + y + 15 = 0
B) y - 3x - 11 = 0
C) -2x - y - 7 = 0
D) -3x + y - 18 = 0
E) -3x + y + 13.5 = 0

Solution: The question is made to look difficult though it is pretty simple if you focus on just the line and use process of elimination. (Remember that GMAT does not focus on parabolas so basically, the question should be quite do-able even if someone doesn't know how to handle parabolas.)   We need equation of l. Its slope must be 3.   Slope in option A and C is not 3 so we are left with B, D and E   The line has a point (-5, y) on it where y is positive (since the point lies in upper left quadrant).   In options B and E, if you put x = -5, you get -ve value for y co-ordinate. So ignore them.   Answer must be (-3x + y - 18 = 0)
Answer: D
The average ageof A, B and their C 3 years ago was 25 years and that of B and the C 5 years ago was 10 years. The present age of the A is:	Choose the correct choice from the following options:
A) 46 years
B) 56 years
C) 51 years
D) 58 years
E) 60 years

Solution: Sum of the present ages of husband, wife and child = (25 x 3 + 3 x 3) years = 81 years.   Sum of the present ages of wife and child = (10 x 2 + 5 x 2) years = 30 years.   Husband's present age = (81 - 30)= 
(81 - 30) = 51
51 years.   51 years
Answer: C
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 4 family members in a row for the picture? Choices
A) 9!	B) 9×8!	C) 8×9!	D) 10!/2!	E) 9x10!

Solution: In how many ways David's father and Rachel's mother can stand together? Consider them as one unit: {F, M}. So, we'd have 9 units {F, M}, 1, 2, 3, 4, 5, 6, 7, 8, 9 which can be arranged in 11! ways. David's father and Rachel's mother within their unit can be arranged in 2! ways. Therefore, David's father and Rachel's mother can stand together in 10!*2! ways.   Total - Restriction =   = 11! - 10!*2! =   = 10!(11 - 2!) =   = 9*10!.   Answer: 9x10!.
Answer: E
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations Q could be chosen from this menu?	Choose the correct answer:
A) 10  B) 20  C) 40  D) 80  E) 100

Solution: Q=4401 * 5402   = 4 * (5*4*3!)/(3!2!)   = 4 * 10= 
4 * 10 = 40
40   Answer - 40
Answer: C
The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tim's present age?	Pick
A) 40 years B) 32 years C) 35 years D) 34 years E) 39 years

Solution: Let x be the Tim's age.   And y be the Lee's age.   Then, x/y = 5/6 ===> y = 6x/5   And, x+7/y+7 = 6/7   ==> 7x+49 = 6y+42   ==> 7x = 67-7   By substituting 7x=(36x/5)-7   ==>35x-36x=-35   Therefore, x=35   ANSWER:35 years
Answer: C
On decreasing the price of a colour TV by 15%, its sale is increased by 30%. The effect on the revenue is?
Choose the correct choice from the following answers
A) 20 % decrease  B) 25.5 % increase  C) 16% decrease  D) 30 % increase  E) none of these

Solution: Net% change in revenue   = ( x + y + xy/100) %   = [-15 + 30 + ( -15 x 30)/100]% or 25.5%   ANSWER:25.5 % increase
Answer: B
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choose the most appropriate option.
A) A)72
B) B)45
C) C)729
D) D)34
E) E)35

Solution: Explanation:   Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 36/2= 
2.5 * 36/2 = 45
45 cm2   Answer: Option 45
Answer: B
Find the arithmetic mean W of all roots of the following equation- see an attachment.	Choose the correct choice from the following answers:
A) 2
B) 1
C) 0.5
D) -1/3
E) 0.3

Solution: arithmetic mean W your answer C and E are same, can you correct one of them please. thanks.0.5
Answer: C
The youngest of 4 children has siblings who are 1, 4, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 17, what is the age of the youngest sibling?  Choose the correct choice:
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: x + (x+1) + (x+4) + (x+8) = 68   4x + 12 = 68   4x = 56   x = 14   The answer is 14.
Answer: E
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 9th position from either end of the row.
Can you find out how many girls are practicing together? Choose the correct choice from the following answers: A) 4 B) 9 C) 17 D) 18 E) 20

Solution: As judith is 9th from either end of the row, it means that 8 girls are on one of her sides and 8 are present on the other.   8 + 8 + 1(judith herself) = 17.   Hence, 17 girls are practicing the dance together.   correct answer is 17)17
Answer: C
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?
Choose the correct choice from the following options:
A) 17 B) 27 C) 37 D) 47 E) 57

Solution: X=243y+98   so X/81 = 243y/81 + 98/81   since 243 is divisible by 81 the remainder of X/81 is remainder of 98/81 that is 17   Therefore subtracting 17 from X will make it divisible by 81   hence 17 is the answer
Answer: A
If selling price is doubled, the profit triples. Find the profit percent?	Choices.
A) 108%
B) 100%
C) 120%
D) 900%
E) 160%

Solution: Let C.P. be Rs. x and S.P. be Rx. y.   Then, 3(y - x) = (2y - x) => y = 2x   Profit = (y - x) = Rs. (2x - x) = Rs. x   Profit % = x/x * 100 = 100%.   Answer: 100%
Answer: B
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?	Choose the correct option:
A) 3:1 B) 19:4 C) 19:8 D) 19:5 E) 19:2

Solution: Quantity of alcohol in vessel P = 62.5/100 * 4 = 5/2 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 5/2 + 7/2= 
5/2 + 7/2 = 6
6 litres   As 8 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 600 : 200 = 3:1.   3:1nswer: 3:1
Answer: A
Which term of the AP: 121, 117, 113, ...... is its first negative term?  Select the correct option: A) -1 B) -2 C) -3 D) -5 E) -7

Solution: 121,117,113,......5,1,-3   ANSWER:-3
Answer: C
Divide Rs. 1600 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Options
A) 346	B) 368	C) 375	D) 337	E) 400

Solution: A+B+C = 1600   A = 1/3(B+C); B = 2/3(A+C)   A/(B+C) = 1/3   A = 1/4 * 1600= 
1/4 * 1600 = 400
> 400   Answer:400
Answer: E
If a person walks at 16 km/hr instead of 8 km/hr, he would have walked 20 km more. The distance traveled by him if he walked at 16 km/hr?  Choices
A) 50 km
B) 58 km
C) 60 km
D) 70 km
E) 40 km

Solution: Let the actual distance traveled be x km. Then,   x/8 = (x + 20)/16   2x - x = 20 =>x = 20 km.   The required distance is = (20+20)= 
(20+20) = 40
40 km   Answer :40 km
Answer: E
Of a certain group of 100 people, 40 graduated from High School O, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School O, did not graduate from College Y, and do not live in City Z ?	Pick one:	A) 5	B) 15	C) 35	D) 65	E) 85

Solution: 1. o+y+z+oy+yz+oz+oyz+ none=100. Fornoneto be maximum others have to be minimum   2. We know the underlined portions sum to 65 and that is the minimum value of others   3. Maximumnone= 100-65= 
100-65 = 35
35=35
Answer: C
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?	Choose the most appropriate option
A) a 40	B) b 400	C) c 4^7	D) d 8^5	E) e 40^40

Solution: different ways to solve each question is 4.   So, 4*4*4*4.. 7 times ----> 5^8   Answer will be c 4^7.
Answer: C
If there are n rays and all of them are reversed after 2006 reversals, then a possible value of n is  Select the correct option
A) 2237	B) 3777	C) 2002	D) 3772	E) 8822

Solution: has to be same number less than (or equal to) k and of the same type as k.   k = 2006 then n = 2002.   Answer:2002
Answer: C
If you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?  Answers.
A) 5/5
B) 4/5
C) 3/5
D) 2/5
E) 1/5

Solution: This can be solved in a generic and complex way but let us not go into all that.   There can be four ways through which the pair of dice results in a sum of 5. There can be six ways through which the pair of dice can result in a sum of 7.   Now, we want the probability of the pair of dice resulting in a sum of 5 before a sum of 7. Thus probability = 4/(4+6) = 4/10 or 2/5.   correct answer is 2/5)2/5
Answer: D
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x? Choose the correct choice from the following choices:
A) 37.5 litres	B) 36.67 litres	C) 37.67 litres	D) 36.5 litres	E) 33.33 litres

Solution: Working formula ...   Initial Concentration*Initial Volume=Final Concentration*Final Volume.   Let X is the part removed from 100 lts.   36%(1-X/100)^2 = 16% * 100%   (1-x/100)^2=16/36------>(1-x/100)^2=(4/6)^2   100-X=400/6   x=33.33...   Ans 33.33 litres
Answer: E
An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?
Choices.
A) 1500  B) 2000  C) 2500  D) 3000  E) 3100

Solution: Let the number of meters to be examined be x   Then, 0.08% of x = 2   (8/100)*((1/100)*x = 2   x = 2500   Answer is 2500
Answer: C
A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 70 kmph.The average speed of the car is Choose the correct choice from the following answers
A) 63.07 kmph  B) 64 kmph  C) 62.02 kmph  D) 64.02 kmph  E) None of these

Solution: First car travels 30 min at speed of 40 kmph   distance = 40 x 1/2 = 20 m   Then car travels 45 min at a speed of 60 kmph   distance = 45 min at speed of 60 kmph   distance = 60 x 3/4 = 45 m   at last it travels 2 hours at speed of 70 kmph   distance = 70 x 2 = 140 m   Total distance = 20 + 45 + 140= 
20 + 45 + 140 = 205
205   Total time= 1/2 + 3/4 + 2= 
1/2 + 3/4 + 2 = 13/4 = around 3.25
3.25   63.07 kmphverage speed of the car= 205/3.25 = 63.07   63.07 kmphNSWER:63.07 kmph
Answer: A
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Select:
A) 34  B) 35  C) 36  D) 37  E) 38

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer: Option 36
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?
Choose the most appropriate option:  A) 4  B) 5/2  C) 2  D) 3/2  E) 5/4

Solution: let the weight of nail be n and that of screw be s..   so s+w=1/2 * (6s+1n)...   or 1n = 4s..   lets see the weight of 3 s and 3n= 3s+3*4s=15s..   and weight of 4s and 2n3 +3*4= 
3 +3*4 = 15
15s..   and weight of 4s and 2n= 4s+2*4s=12s..   ratio4 +2*4= 
4 +2*4 = 12
12s..   ratio= 15s/12s=15/12=5/4   ANSW5/4R:5/4
Answer: E
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. How far is the place?  Choose the correct option
A) 2.87 B) 2.88 C) 2.67 D) 2.21 E) 2.82

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer:2.88
Answer: B
In how many V ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?  Choose the most appropriate option
A) 6  B) 12  C) 18  D) 24  E) 30

Solution: Number of ways of arranging the word GMAT = 4! = 24   Number of ways of arranging the word GMAT so that A is always in the first = 3! = 6   Number of ways of arranging GMAT so that A is not in the beginning V= 24 - 6= 
24 - 6 = 18
18   Answer: 18
Answer: C