MU-NLPC/Calc-aqua_rat huggingface dataset:
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Choose the correct choice from the following.
A) 430
B) 437
C) 435
D) 431
E) 433

Solution: Let the total number of valid votes be x.   70% of x = 70/100 * x = 7x/10   Number of votes secured by the other candidate = x - 7x/100 = 3x/10   Given, 7x/10 - 3x/10 = 172 => 4x/10 = 172   => 4x = 1720 => x = 430.   430nswer: 430
Answer: A
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability that Jane will be on the same committee as Albert?
Choose the correct choice from the following choices:
A) 12% B) 20% C) 33% D) 40% E) 50%

Solution: Total number of ways to choose 3 member committee - 6C3=(6!/3!3!)=20   No. of ways Albert n Jane are in same committee:- (4C1 * 2)= 8   Probability= (8/20) *100= 
(8/20) *100 = 40
40%.   ANS::40%
Answer: D
6 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio  Choose the most appropriate option:  A) 1:1  B) 1:3  C) 2:1  D) 2:3  E) None of these

Solution: Explanation:   Let 1 man 1 day work = x   1 boy 1 day work = y   then 6x + 2y = 4(x+y)   => 2x = 2y   => x/y = 1/1   => x:y = 1:1   Option 1:1
Answer: A
What is the least integer greater than –3+0.5?	Choose the correct answer.
A) –2  B) –1  C) 0  D) 1  E) 2

Solution: This question is just about doing careful Arithmetic and remembering what makes a numberbiggerorsmallercompared to another number.   First, let's take care of the Arithmetic:   (-3) + (0.5) = -2.5   On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from -3 to -2.5).   Next, the question asks for the LEAST integer that is GREATER than -2.5   Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of -2.5 is -2.   Final –2nswer:   –2
Answer: A
A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 280 pounds of the mixture ?  Select the correct option:
A) 200 B) 84 C) 40 D) 28 E) 20

Solution: 200lmonds : Walnuts = 5 : 2   Total mixture has 7 parts   In a 280 pound mixture, 200lmonds are 5/7 (total mixture)   = 5/7 * 280= 
5/7 * 280 = 200
200 pounds   200nswer (200)
Answer: A
If A speaks the truth 65% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time	Choose one:
A) 0.39	B) 0.48	C) 0.41	D) 0.482	E) 0.411

Solution: Explanation:   Probability that 0.39 speaks truth is   65/100= 
  65/100 = 13/20 = around 0.65
0.65   Probability that B speaks truth is   60/100= 
  60/100 = 3/5 = around 0.6
0.6   Since both 0.39 and B are independent of each other   So probability of 0.39 intersection B is P(0.39) × P(B)=0.65 × 0.6 = 0.39   0.39nswer: 0.39
Answer: A
The average (arithmetic mean)Q of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.	Pick: A) I only B) II only C) III only D) II and III only E) None of the above

Solution: Given :   p + q = EVEN (odd + odd =even)   p + q + s + t = EVEN (even + even = even) nothing more....   (p + q + s + t) / 4 = x   I.   x may or may not be integer, we only know sum of 4 variables is even not necessarily multiple of 4. I is out.   II.   Similarly, x an integer if sum of 4 variables is multiple of 4 but not an integer if it is not multiple of 4, we only know it is even. II is out.   III.   As in II, if X is integer 2x is Even, if X has decimal part (a.5), 2x is odd. III is out.   Answer None of the above, None.
Answer: E
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?
Choose the correct choice
A) 23.75 B) 22 C) 20 D) 19.2 E) None of these

Solution: C.P. of mixture = 80×15+20×20 /80+20=16   ∴ S.P. = (100+25)/100×16=20   Answer 20
Answer: C
During a certain two-week period, 58 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period? Choose the correct choice from the following answers:
A) 10A  B) 9A  C) 8 2/3A  D) 11A  E) 12A

Solution: Total movies = 100.   Comedies = 58.   Action + Drama = 42. Since there were 5 times as many dramas as action movies, then Action + 5*Action = 42 --> Action = A = 7.   8 2/3Aomedies = = 8 2/3A   Answer: 8 2/3A.
Answer: C
If a 3-member subcommittee is to be formed from a certain 8-member committee, how many different such subcommittee are possible? Choose the correct answer
A) 6
B) 18
C) 40
D) 108
E) 216

Solution: Another way:   1st member can be selected in 8 ways   2nd can be selected in 6 ways   3rd can be selected in 5 ways   So total ways : 240   But to avoid the similar scenarios 240/3!=40   40
Answer: C
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+4 and 7*+7, inclusive ? Pick
A) 1  B) 0  C) 2  D) 3  E) 4

Solution: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 7* + 4 = 7! + 4 and 7* + 7 = 7! + 7.   Now, notice that , we can factor out 4 our of 7! + 4 so it cannot be a prime number, ... The same way for all numbers between 7! + 4 and 7! +7, inclusive. Which means that there are no primes in this range.   Answer: 0
Answer: B
There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy ,fourth guy and fifth guy did the same. After fifth guy there is no bread left out. How many bread are there? Choose the correct choice from the following options.
A) 30
B) 31
C) 32
D) 33
E) 34

Solution: (1/2 + 1/2)= 
(1/2 + 1/2) = 1
1   2(1 + 1/2)= 3   2(3 + 1/2) = 7   2(7 + 1/2) = 15   2(15 + 1/2) = 31   ANSWER:31
Answer: B
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?	Choose the correct answer: A) 4/5 km B) 4/8 km C) 2/5 km D) 4/6 km E) 3/5 km

Solution: x/3 – x/4 = 4/60   x = 4/5 km   4/5 kmnswer: 4/5 km
Answer: A
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.21,000 earned at the end of 2years from the startingof the business?	Choose the most appropriate option
A) s. 5,000 B) s. 5,500 C) s. 5,700 D) s. 6,300 E) s. 7,500

Solution: A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.   B's share = Rs. 21000 x	3/10	= Rs. 6,300.   s. 6,300
Answer: D
In a group of dogs and people, the number of legs was 28 more than twice the number of
heads. How many dogs were there? [Assume none of the people or dogs is missing a leg.]	Select:
A) 4 B) 7 C) 12 D) 14 E) 28

Solution: If there were only people, there would be exactly twice the number of legs as   heads. Each dog contributes two extra legs over and above this number. So 28 extra legs   means 14 dogs.   correct answer 14
Answer: D
what smallest no. should subtracted from 5000,so that remainder completely divisible from 19?	Choose the correct choice from the following choices:
A) 3
B) 4
C) 5
D) 6
E) 9

Solution: if 5000 is divided by 19 then remainder is 3.   no. should subtracted is 3.   answer 3
Answer: A
At what price must an Book costing $47.50 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 25% on the cost price?
Choose the correct choice from the following choices:	A) 72.5	B) 55.5	C) 62.5	D) 82.5	E) 65.9

Solution: 65.9   $62.50   CP = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(90/100)= 59.375   MP = 65.9   65.9
Answer: E
A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 60 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne? Choose the correct choice from the following answers
A) 1 hour	B) 1 hour 20 minutes	C) 2 hours 30 minutes	D) 1 hour 40 minutes	E) 2 hours 10 minutes

Solution: v1 and V2 are speeds.   v1.t /60 = v2   v2.t/40 = v1   v1/v2 = 3/2   which train A would 60. 2/3 mins to cover the same distance     40 + 40= 
  40 + 40 = 80
80 mins (ANS 1 hour 20 minutes)
Answer: B
If a mixture is 1⁄7 alcohol by volume and 2⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture? Choose the correct choice from the following choices
A) 4/2
B) 3/2
C) 1/2
D) 5/2
E) 7/2

Solution: Should be a sub-600 level Q..   volume= {1/7}/{2/7}=1/2   1/2
Answer: C
If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)R of x, x^2, x^3, x^4 and x^5 is equal to which of the following? Choose one
A) 12x
B) 13x
C) 14x
D) 16x
E) 20x

Solution: 1 + x^4 + x^3 + x^2 + x = 81   i.e. 1 +x+ x^2+ x^3+ x^4 = 81   x+ x^2+ x^3+ x^4 = 80   x(1 +x+ x^2+ x^3) = 80   x(81-x^4) = 80   81x - x^5 = 80   x^5 = 81x -80   Now x+ x^2+ x^3+ x^4+ x^5 = 80 + 81x -80 = 81x   Average of R{x, x^2, x^3, x^4, x^5} 80 + 81  -80= 
80 + 81  -80 = 81
81x   Average of R{x, x^2, x^3, x^4, x^5}= 81x/5 ~ 16x   Answer16x
Answer: D
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?	Choose the correct option:  A) 53  B) 57  C) 63  D) 65  E) 67

Solution: Explanation:   We need to select 5 men from 7 men and 2 women from 3 women.   Number of ways to do this   = 7635 × 3632   = 7632 × 3631 [∵ n63r = n63(n-r)]   =   7   ×   6   2   ×   1   ×   3   =   21   ×   3   =63   63)
Answer: C
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $5,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??	Choose one
A) 10000
B) 10100.5
C) 20000
D) 15000
E) 19000

Solution: A = P(1+r/n)^nt   A= total amount accrued   P = principal deposited   r = rate of interest in decimal form   n = number of times per year, interest compounded   t = time in number of years.   .   x(1+0.02/2)^2 - x = 5,000(1+0.04/4)^4 - 5,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal)   => x[(1.01)^2 - 1] = 5,000[(1.01)^4 - 1]   => x[(1.01)^2 - 1] = 5,000[(1.01)^2+1][(1.01)^2-1] --> Using a^2-b^2 = a+b X a-b formula and cancel common expression on both sides   => x = 5,000(1.0201+1) =10,100.5   Hence answer is 10100.5.
Answer: B
An design manager has 10patterns of chairs & 8patterns of tables. In how many ways can he make a pair of table & chair?
Choose the correct option
A) 20
B) 40
C) 80
D) 90
E) 100

Solution: He has has ten patterns of chairs and eight patterns of tables   Hence, A chair can be arranged in 10 ways and   A table can be arranged in 8 ways   Hence one chair and one table can be arranged in 10 x 8 ways = 80 ways   80
Answer: C
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?	Choose the correct choice from the following answers.
A) 40	B) 60	C) 20	D) 10	E) 50

Solution: Let A = 2k, B = 3k and C = 5k.   A's new salary = 115/100 of 2k = (115/100) 2k = 23k/10   60's new salary = 110/100 of 3k = (110/100) 3k = 33k/10   C's new salary = 120/100 of 5k = (120/100) 5k = 6k   Therefore, New ratio	(23k/10) : (33k/10): 6k)   = 23 : 33 : 60   Answer is 60.
Answer: B
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursa day, how much coal will be required for 8 engines, each running 13 hours a day, it is being given that 3 engines of former type consume as much as 4 engines of latter type?
Choices:
A) 23  B) 25  C) 26  D) 28  E) 30

Solution: Explanation :   Let 3 engines of former type consume 1 unit in 1 hour.   Then, 4 engines of latter type consume 1 unit in 1 hour.   Therefore 1 engine of former type consumes(1/3) unit in 1 hour.   1 engine of latter type consumes(1/4) unit in 1 hour.   Let the required consumption of coal be x units.   Less engines, Less coal consumed (direct proportion)   More working hours, More coal consumed (direct proportion)   Less rate of consumption, Less coal consumed(direct proportion)   Number of engines 9: 8   Working hours 8 : 13 } :: 24 : x   Rate of consumption (1/3):(1/4)   ( 9 * 8 * (1/3) * x) = (8 * 13 * (1/4) * 24 ) <=> 24x = 624 <=> x = 26.   Answer : 26
Answer: C
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Choose the correct option
A) 3/20
B) 1/20
C) 13/102
D) 11/20
E) 2/20

Solution: Let S be the sample space.   Then, n(S) = 52C2   = (52*51)/(2*1)= 
(52*51)/(2*1) = 1_326
1326   Let E= event of getting 1 spade and 1 heart.   n(E)	= number of ways of choosing 1 spade out of 13 and 1 heart out of 13   = (1313/1021 * 1313/1021)   = (13 * 13)= 
(13 * 13) = 169
169   P(E)= n(E)/n(S)   = 169/1326   = 13/102   Answer should be 13/102
Answer: C
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?  Answers
A) Rs. 16537.52
B) Rs. 16137.11
C) Rs. 16537.50
D) Rs. 16237.52
E) Rs. 16537.11

Solution: Explanation:   P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year   Amount = [15000 * (1 + 5/100)2]   = (15000 * 21/20 * 21/20) = Rs. 16537.50   Answer:Rs. 16537.50
Answer: C
What is the greater of the two numbers whose product is 2688, given that the sum of the two numbers exceeds their difference by 64? Choose the correct option.
A) A)84
B) B)104
C) C)110
D) D)72
E) of these

Solution: Let the greater and the smaller number be g and s respectively.   gs = 2560   g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64   i.e., 2s = 64 => s = 32.   g = 2688/s = 84.   84NSWER:84
Answer: A
For any numbers a and b, a#b = ab(6 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choose the correct choice from the following options:	A) 5	B) 5,4	C) 5,4,3	D) 5,4,3,2,1	E) 5,4,3,2

Solution: a#b positive then b may be positive or negative. if positive then b< 6 may be 5,4,3,2 or 1 and if negative then it is more than or equal to - 1 negative . ab will be -ve which is not possible as a and a#b should be positive.   ans 5,4,3,2 and 1   5,4,3,2,1
Answer: D
If each side of a square is increased by 25%, find the percentage change in its area? Choose the correct choice from the following answers.
A) 54%
B) 56%
C) 56.25%
D) 58.25%
E) 59%

Solution: let each side of the square be a , then area = a x a   New side = 125a / 100 = 5a / 4   New area =(5a x 5a) / (4 x 4) = (25a²/16)   increased area== (25a²/16) - a²   Increase %= [(9a²/16 ) x (1/a² ) x 100]% = 56.25%   answer :56.25%
Answer: C
Rs.600 amounts to Rs.900 in 3 years at simple interest. If the interest is increased by 4%, it would amount to how much?  Choose the correct choice from the following
A) 672	B) 246	C) 258	D) 856	E) 653

Solution: (600*3*4)/100= 
(600*3*4)/100 = 72
72   600 + 72= 
600 + 72 = 672
672   672nswer: 672
Answer: A
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,800. How much would he have spent if he had bought only the 28 inch and 30 inch TVs? Choose one:
A) 850  B) 1,100  C) 1,900  D) 2,550  E) 3,400

Solution: Assume the cost of the least sized (26 Inch) TV = x   1,900ost of 28 inches TV = x + 200   1,900ost of 30 inches TV = x + 400   1,900ost of 32 inches TV = x + 600   Total cost = 4x + 1200 = 3800   Therefore x = 2600/4= 
2600/4 = 650
650   Price of 28inch + 30 inch= 850 + 1050= 
850 + 1050 = 1_900
1900   Option 1,900
Answer: C
The average (arithmetic mean) monthly income of four workers is $2,000. After one worker’s income increases by 25 percent the new average income is $2,250. What was the original income of the worker whose monthly income increased?  Choose the correct choice from the following answers.
A) $3,000 B) $2,000 C) $4,000 D) $5,000 E) $6,000

Solution: Increase in total income was 250*4= 
250*4 = 1_000
$1000, we know that this increase was 25% (1/4th) of the workers original income, thus his/her original income was 1000*4=$4,000   Answer: $4,000
Answer: C
Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 12 pounds?
Choose the correct answer
A) 12  B) 13  C) 14  D) 15  E) 16

Solution: Let us denote the weights of the packages in pounds by a, b, c, d naming from the lightest one to the heaviest one. The median is 12 pounds. Therefore (b + c) / 2 = 12.   b + c = 24   The average is 12.5 pounds. Therefore (a + b + c + d) / 4 = 12.5.   a + (b + c) + d = 50   a + 24 + d = 50   a + d = 26   The weight a must be no greater than 12, since 12 is the median. Therefore the minimum possible weight of the heaviest package is 26 – 12 = 14 pounds (all the other packages would weigh 12 pounds in this case).   Answer: 14
Answer: C
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?	Pick one:
A) 27	B) 23	C) 20	D) 28	E) 12

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer: 20
Answer: C
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 40 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?	Choices
A) 2
B) 4
C) 8
D) 9
E) 32

Solution: Total = C + 9 + R - (C9 + 9R + CR) - 2C9R   60 = 40 + 40 + 10 - (12) - 2x   x = 9   So, answer will be 9
Answer: D
There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?  Pick:	A) 1/13	B) 4/13	C) 3/13	D) 5/13	E) 6/13

Solution: If 1 green and 1 blue ball are taken from the box, then there are 7 green, 3 blue and 3 white balls, a total of 13 balls. If one ball is selected at random, the probability that it is blue is given by 3 / 13   correct answer 3/13
Answer: C
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1.5% cash on their first $5000 of purchase, 2.5% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choose the correct answer:  A) $17,500  B) $20,000  C) $22,500  D) $25,000  E) $27,500

Solution: The customer receives $75 for the first $5000.   The customer receives $125 for the next $5000.   Let x be the total amount of the customer's annual charge.   $200 + 0.03(x-10,000)=0.025x   0.005x=100   x=20,000   The answer is $20,000.
Answer: B
If a = 1 and b = -2, then (2a^2 + b)(q + y) + (a + b)(q - y) =  Answers.
A) 0
B) 2x
C) y - q
D) x - y
E) x + y

Solution: Putting A=1 and B = -2 => 2A^2-B=0 ; so the first part of the term is zero   with second term => (1-2) *(q+y)=y-q => Smash y - q
Answer: C
f a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.  Answers:
A) 4/15
B) 4/10
C) 4/18
D) 4/13
E) 4/11

Solution: P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.   P(SᴜK) = 13/52 + 4/52 - 1/52 = 4/13   Answer:4/13
Answer: D
In a series of seven football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 7 draws in the series?
Choose the correct choice from the following choices:  A) 24/576  B) 125/864  C) 1/25  D) 1/16384  E) 1/5

Solution: Since the probability of a draw is 1/4, then the probability of 7 draws in 7 matches is (1/4)^7=1/16384.   Answer: 1/16384.
Answer: D
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration R of the acid in the mixture?	Options
A) 1/2	B) 1/3	C) 1/4	D) 1/6	E) 1/5

Solution: Do not need any computation   30%-----------21%---------12%   if volume of both sol. were equal the concentration R would be 21%=1/5, but 12% is more than 3 times   only possibility is 1/6   1/6
Answer: D
P can do the work in 10 days and Q can do the same work in 12 days. If they work together for 4 days, what is the fraction of work that is left?  Choose the correct answer:
A) 1/3	B) 1/5	C) 2/5	D) 4/15	E) 7/15

Solution: 4/10 + 4/12 = 44/60 = 11/15 (completed work)   The work that is left is 1 - 11/15 = 4/15   The answer is 4/15.
Answer: D
A fort had provision of food for 150 men for 60 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is: Choose the correct choice from the following answers.
A) 29 1/5 B) 37 1/4 C) 42 D) 54 E) 60

Solution: After 10 days : 150 men had food for 50 days.   Suppose 125 men had food for x days.   Now, Less men, More days (Indirect Proportion)   Therefore 125 : 150 :: 50 : x <=> 125 x x = 150 x 50   => x =150 x 50/125   => x = 60.   Correct answer is 60
Answer: E
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 9) both lie on the line defined by the equation x = (y/3) - (2/5), what is the value of p?  Options.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: x = (y/3) - (2/5), and so y = 3x + 6/5. The slope is 3.   (n+9-n) / (m+p-m) = 3   p = 3   The answer is 3.
Answer: C
In a group of 25 factory workers, 16 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. Choices:  A) 10  B) 9  C) 8  D) 7  E) 4

Solution: Total number of worker (M+W): 25   No. of men (M): 11 (Inferred fromHow many of the 11 men)   No. of women (W): 14   Total no. of workers who have brown eyes (B): 16   No. of women who do not have brown eyes: 6   Therefore, no. of women who have brown eyes: W - 6 = 14 - 6= 
14 - 6 = 8
8   Remaining 8 are men. (B - 8= 16 - 8= 
16 - 8 = 8
8)   So 8 out of 11 men have brown eyes.   8
Answer: C
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?	Choose the correct choice from the following options
A) 59 m B) 60 m C) 80 m D) 82 m E) 84 m

Solution: Let breadth = x metres.   Then, length = (x + 18) metres.   Perimeter = 5300 m = 200 m.   26.50   2[(x + 18) + x] = 200   2x + 18 = 100   2x = 82   x = 41.   Hence, length = x + 18 = 59 m   59 m
Answer: A