MU-NLPC/Calc-aqua_rat huggingface dataset:
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes john can make using this recipe? Pick:  A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Less work up front: Go through each item and see what the greatest number of cakes you can make with each. The lowest of these will be the right answer.   Flour: 15 cups, we need 2.5 cups each. Just keep going up the line to see how many cakes we can make: That means I can make 2 cakes with 5 cups, so 6 cakes overall with 15 cups. I've already got the answer narrowed to either A or B.   Sugar: 16 cups, we need 2.75 cups each. Same principle. I can make 2 cups with 5.5 cups, so to make 6 cakes I'd need 16.5 cups. I don't have that much sugar, so we're limited to 5 cakes. No need to even do milk because we're already at 5. Sugar will be the limiting factor.   answer is 5
Answer: A
Find the 10th term of an arithmetic progression whose first term is 8 and the common difference is 2.  Options.
A) 45
B) 26
C) 44
D) 40
E) 46

Solution: n th term of A.P = a +(n-1) *d   = 8+(10-1)*2 , = 8 + 18= 
8 + 18 = 26
26.   ANSWER:26
Answer: B
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 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 choice:	A) 13:9	B) 12:2	C) 19:3	D) 19:5	E) 19:7

Solution: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4= 
19/4 = 19/4 = around 4.75
4.75 litres   As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 4.75 : 1.25 = 19 : 5.   Answer:19:5
Answer: D
A container holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume?  Options:
A) 4/3	B) 5/3	C) 7/3	D) 8/3	E) 10/3

Solution: Let the number of quarts that should be added to get the required ratio = x   So total quarts of water = (x + 4)   But the original number of quarts of alcohol remains the same, so we have :   4/(x+4) = 3/5   Cross-multiply:   Now we have 20 = 3x + 12   => 3x = 20 -12   => x = 8/3   Answer - 8/3
Answer: D
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 14 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?  Pick:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: The class borrowed a total of 40*2= 
40*2 = 80
80 books.   The 28 students who borrowed 0, 1, or 2 books borrowed a total of 12 + 14*2= 
12 + 14*2 = 40
40.   To maximize the number of books borrowed by 1 student, let's assume that 11 students borrowed 3 books and 1 student borrowed the rest.   80 - 40 - 3*11= 
80 - 40 - 3*11 = 7
7   The maximum number of books borrowed by any student is 7.   The answer is 7.
Answer: E
Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is Nona now?  Choose the most appropriate option:
A) 11.5	B) 12.5	C) 13.5	D) 14.5	E) 15.5

Solution: mother age be x   nona age bcomes 1/3(x)   1/3(x)-5=1/5(x)   by solving we get,   x=37.5   and nona is 12.5   ANSWER:12.5
Answer: B
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:	Choose the correct answer
A) 20	B) 21	C) 22	D) 23	E) 24

Solution: Let the son's present age be x years. Then, man's present age = (x + 24) years.   (x + 24) + 2 = 2(x + 2)   x + 26 = 2x + 4   x = 22.   20nswer:20
Answer: A
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 20 days. If he works at reduced efficiency, he can work without break and finish that same job in 20 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Choices.
A) 7/3 B) 5/2 C) 6/5 D) 1/5 E) 9/5

Solution: We're told that there are 2 ways for Dale to complete a job:   1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 20 days.   2) Reduced Efficiency: 20 straight days with no days off.   Working at Full Efficiency creates the following pattern:   2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2+1+2+1+2+1+2+1+2= 
2+1+2+1+2+1+2+1+2+1+2+1+2 = 20
20 days   Totals: 14 days on, 6 days off   Reduced Efficiency means that Dale will do 14 days of work in 20 days, thus those Reduceddaysare 14/6=7/3 of Full Efficiency.   7/3nswer : 7/3
Answer: A
The length of a train and that of a platform are equal. If with a speed of 126 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
A) 757  B) 758  C) 1050  D) 750  E) 738

Solution: Speed = [126 * 5/18] m/sec = 35 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 35 è x = 35 * 60 / 2= 
35 * 60 / 2 = 1_050
1050   Answer:1050
Answer: C
At a certain conference, 32% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 50% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
Pick one
A) 18.0%
B) 62.0%
C) 79.2%
D) 64.0%
E) 82.0%

Solution: Refer to the table in the attachment:   Let x= No. of members who have paid in Full   50 % members paid in full and did not register in advance = 0.5x   32 % registerd in advance and paid in full.   So if total No. of members = 100, then 32 members paid Full and registered in advance.   Hence total members who paid full amount = 0.5x + 32 =x   0.5x =32   Hence x = 64   i.e. 64 out of 100 or 64 %   Ans. 64.0%
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.32, the number of 25 paisa coins is? Choices:
A) 30
B) 31
C) 32
D) 34
E) 38

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 3200   600x = 3200   x = 5.33 => 6x = 32   ANSWER:32
Answer: C
Whats the next number in this number series ?
18, 46, 94, 63, 52, ?
Answers
A) 44 B) 34 C) 45 D) 65 E) 61

Solution: 61   61   Reversed digits of squares of number in descending order.
Answer: E
In the xy-plane, a line has slope 4 and x-intercept 3. What is the y-intercept of the line?	Choices
A) -12
B) -3
C) 0
D) 3
E) 9

Solution: Let the line be represented by a general equation y=mx+b, where m = slope (4) and b=y intercept. We are also given the value of x-intercept 3.   Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.   Putting these values in the equation : 0 = 4*3 + b => b = -12. Hence -12.
Answer: A
The average (arithmetic mean) of six numbers is 8. If 3 is subtracted from each of four of the numbers, what is the new average?
Pick one.
A) 6
B) 2
C) 3
D) 4
E) 4.5

Solution: Sum of 6 numbers = 6*8= 
6*8 = 48
48   If 3 is subtracted from each of four of the numbers , we subtract  3*4= 
 3*4 = 12
12 from the total sum   Sum of 6 number after subtracting 3 from each of four of the numbers= 48 - 12= 
48 - 12 = 36
36   New average= 36/6= 
36/6 = 6
6   6nswer 6
Answer: A
The average of first five multiples of 5 is?
Pick one:
A) 6	B) 8	C) 9	D) 15	E) 7

Solution: Average = 5(1 + 2 + 3 + 4 + 5)/5   = 75/5= 
75/5 = 15
15.   Answer:15
Answer: D
Two numbers are in the ratio of 5:7. If 20 is subtracted from each number, they are in the ratio of 5:9. What are the two numbers? Choose the correct choice from the following options:
A) 35, 49
B) 40, 56
C) 45, 63
D) 50, 70
E) 55, 77

Solution: (5x-20):(7x-20) = 5y:9y   5x - 20 = 5y   7x - 20 = 9y   140-100 = 45y - 35y   40 = 10y   y = 4   5x-20 = 20   x = 8   The two numbers are 5x and 7x which are 40 and 56.   The answer is 40, 56.
Answer: B
Three dwarves and three elves sit down in a row of six chairs. If no dwarf will sit next to another dwarf and no elf wil sit next to another elf, in how many different ways can the elves and dwarves sit?	Pick one.
A) 16 B) 26 C) 36 D) 63 E) 72

Solution: For the first chair, we select any one person of the 6 in 6C1 ways.   For the second chair, we select any one from the 3 in 3C1 ways (e.g. if an elf is sitting on the first chair, we need to choose out of the 3 dwarves only)   For the third chair, we select one of the leftover 2 (e.g. one elf is already sitting in first chair) in 2C1 ways   For the fourth chair, we select one of the leftover 2 (e.g. one dwarf is already sitting in the second chair and we need to choose of the remaining 2) in 2C1 ways   For the fifth and sixth chairs, there is only one choice each.   Answer: 6C1 * 3C1 * 2C1 * 2C1 = 6*3*2*2= 
6*3*2*2 = 72
72   ANS:72
Answer: E
For positive integers q and r, which of the following can be written as r^2?	Options:
A) q^2-12	B) q^2-11	C) q^2-10	D) q^2-9	E) q^2-14

Solution: Plug values: if q=5, then 5^2-9=4   The question asks which of the following CAN be written as r^2. If q=16, then q^2-9 CAN be written as 2^2.   Answer: q^2-9
Answer: D
What is the area of a square field whose diagonal of length 20 m?	Select the correct option
A) 238	B) 379	C) 200	D) 328	E) 397

Solution: d2/2 = (20 * 20)/2= 
(20 * 20)/2 = 200
200   Answer:200
Answer: C
sue has 3 apples. Billy has 12 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Choose the correct choice:
A) 11
B) 10
C) 7
D) 9
E) 8

Solution: 11 11
Answer: A
Calculate how many days it will take for 7 boys to wash a 35 m long wall if 5 boys can wash a 25 m long wall in 4 days,	Answers:	A) 6 days	B) 3 days	C) 4 days	D) 2 days	E) 5 days

Solution: The length of wall painted by one boy in one day = 25 / 5 * 1/4= 
25 / 5 * 1/4 = 5/4 = around 1.25
1.25 m   No. of days required to paint 50 m cloth by 8 boys= 35/ 7 *1/ 1.25= 
35/ 7 *1/ 1.25 = 4
4 days.   4 days
Answer: C
If the simple interest on a sum of money at twelve percent per annum for two years is Rs.3800, compound interest on the same sum for the same period at the same rate of interest is Choose the correct choice:  A) Rs.4028  B) Rs.4100  C) Rs.4128  D) Rs.4228  E) Rs.4328

Solution: S I for 2 years = 3800 ie for one year =1900   The compound interest for Rs.1900 for the second year = 1900*12/100= 
1900*12/100 = 228
228   The CI for two years 3800+228= 
3800+228 = 4_028
4028   Rs.4028NSWER:Rs.4028
Answer: A
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.600, find the original price per kg?
Choose the most appropriate option:  A) s.11  B) s.14  C) s.15  D) s.21  E) s.29

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 10   ? --- 1=> Rs.2   600 --- 80   ? --- 2 => Rs.15   Answer:s.15
Answer: C
In how many years Rs 200 will produce the same interest at 10% as Rs. 400 produce in 5 years at 12%	Pick one:  A) 16  B) 13  C) 12  D) 14  E) 15

Solution: Explanation:   Clue:   Firstly we need to calculate the SI with prinical 400,Time 5 years and Rate 12%, it will be Rs. 240   Then we can get the Time as   Time = (100*240)/(200*10)= 
(100*240)/(200*10) = 12
12   Option 12
Answer: C
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?	Choose the correct choice from the following:
A) 20000
B) 22000
C) 24000
D) 26000
E) 30000

Solution: SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000   30000
Answer: E
A merchant marks his goods up by 30% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?	Pick one.
A) 8%
B) 10%
C) 21%
D) 15%
E) 17%

Solution: Let the price be 100.   The price becomes 130 after a 30% markup.   Now a discount of 10% on 130.   Profit=117-100   17%   answer 17%
Answer: E
What is the remainder when 10^49 + 2 is divided by 11?  Choose the correct choice from the following:	A) 1	B) 2	C) 3	D) 5	E) 7

Solution: With exponent-based problems and huge numbers, it's often helpful to try to establish a pattern using small numbers. On this problem, while 1049+2 is a massive number that you'd never want to try to perform calculations with, you can start by using smaller numbers to get a feel for what it would look like:   10^2+2=102, which when divided by 11 produces a remainder of 3 (as 9 * 11= 
9 * 11 = 99
99, leaving 3 left over)   10^3+2=1002, which when divided by 11 produces a remainder of 1 (as 9 * 110= 
9 * 110 = 990
990, and when you add one more 11 to that you get to 1001, leaving one left)   10^4+2=10002, which when divided by 11 produces a remainder of 3 (as you can get to 9999 as a multiple of 11, which would leave 3 left over)   10^5+2=100002, which when divided by 11 produces a remainder of 1 (as you can get to 99990 and then add 11 more, bringing you to 100001 leaving one left over).   By this point, you should see that the pattern will repeat, meaning that when 10 has an even exponent the remainder is 3 and when it has an odd exponent the remainder is 1. Therefore, since 10 has an odd exponent in the problem, the remainder will be 1.   answer is 1
Answer: A
How many positive integers less than 400 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Pick.
A) 48
B) 52
C) 66
D) 84
E) 68

Solution: Notice that we can find the number of 2 and 3 digit numbers by just assuming the first digit can also be zero:   0 1 1   1 2 2   2 3 3   3 5 5   Number of possibilities = 4*4*4= 
4*4*4 = 64
64.   Then, just add up the number of 1 digits numbers= 4, so total is  64+4= 
 64+4 = 68
68.   Answer: 68
Answer: E
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?  Pick.
A) 2000
B) 2388
C) 2798
D) 2666
E) 1081

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer:2000
Answer: A
Which of the following is closest to (-5/6)^199？  Choose one.
A) -1  B) -1/2  C) 0  D) 1  E) 2

Solution: (-5/6)^4 = 625/1296 which is already less than 1/2.   For larger exponents, the expression will get closer and closer to zero.   The answer is 0.
Answer: C
In a group of 4 boys and 6 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?	Choose the correct choice.
A) 185 B) 197 C) 209 D) 221 E) 233

Solution: The total number of ways to choose 4 children is 10C4 = 210   The number of ways to choose only boys is 4C4 = 1   The number of groups which include at least one girl is 209.   The answer is 209.
Answer: C
A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work? Choose the correct choice from the following answers:	A) 4	B) 5	C) 6	D) 76	E) 7

Solution: 2/5 + (2 + x)/10 = 1 => x = 4 days   \4nswer: 4
Answer: A
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 45 minutes. The total distance is?
Choose the correct choice from the following choices
A) 1 km  B) 2.87 km  C) 3 km  D) 4 km  E) 5 km

Solution: B   3 km   Let the total distance be 3x km.   Then, x/3 + x/4 + x/5 = 45/60   47x/60 = 45/60 => x = 0.95.   Total distance = 3 * 0.95 = 2.87 km.
Answer: B
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 45 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Choose the correct option
A) $15,360  B) $17,360  C) $18,000  D) $21,360  E) $29,160

Solution: For every $3 earn above $9360, the recipient loses $1 of benefit.   OR   For every $1 loss in the benefit, the recipient earns $3 above $9360   If earning is; 9360+3x   Benefit = 12000-x   Or the vice versa   If benefit is 12000-x, the earning becomes 9360+3x   He lost 50% of the benefit;   Benefit Received= 12000-0.45*12000 = 12000-5400= 
12000-5400 = 6_600
6600   $29,160arning becomes 9360+3x=9360+3*6600= 
9360+3*6600 = 29_160
29160   Ans:$29,160
Answer: E
If the range of the set of numbers {150, 90, 125, 110, 170, 155, x, 100, 140} is 90, which of the following could be x?  Choose the correct choice from the following answers:  A) 80  B) 95  C) 110  D) 125  E) 140

Solution: The range of the other 8 numbers is 170-90= 
170-90 = 80
80, so x must be either the smallest number or the largest number in the set.   Then x= 170-90= 
170-90 = 80
80 or x= 90+90= 
90+90 = 180
180   The answer is 80.
Answer: A
If 1535/1038 = a+1/[b+1/{c+(d+ 1/e)}]. Find a*b*c*d*e?	Pick one
A) 165/2 B) 175/2 C) 178/3 D) 187 by 2 E) 197/2

Solution: by expanding 1535/1038 make form like a+1/[b+1/{c+(d+1/e)}   =1+(497/1038) now a=1   =1+{1/(1038/497)}   =1+{1/(2+42/497)}   =1+{1/(2+1/(497/42)} now b= 2 similarly expand   c=11 d= 1 e=34/8   finally a*b*b*c*d*e   1*2*11*1*34/8   187/2   ANSWER:187 by 2
Answer: D
In order to complete a reading assignment on time, Terry planned to read 80 pages per day. However, she read only 40 pages per day at first, leaving 1000 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?  Choose the correct choice from the following options:
A) 18
B) 19
C) 17
D) 16
E) 15

Solution: D=80*X - according to the plan, assignment to be completed on time reading 80 pages per day for next X days. 19ut, Terry's plans changed so she read as follow:   40 pages for first Y days and 1000 pages for last 6 days, we get these equations:   40*Y+1000=80*X   X-Y=6 --------->>X planned number of days, Y - actually used reading 40 pages per day and 6 leftover days used to complete a lump 1000 pages   From above we find that X=Y+6 and 40Y+1000=80Y+480 or 40Y=520 --->>>>> Y=13, hence X=19   Answer : 19
Answer: B
Age of a father and his son is in the ratio of 5 : 2. After two years, the ratio becomes 19 : 8. What are the present ages of father and son respectively ?
Choose the correct choice from the following choices:
A) 45 and 12  B) 35 and 12  C) 40 and 16  D) 45 and 18  E) 55 and 22

Solution: Let present ages of father and son be 5x : 2x.   After two years:   (5x + 2) / (2x + 2) = 19 / 8   40x + 16 = 38x + 38 => 2x = 22 => x = 11.   Father = 5x = 5 x 11 = 55; Son = 2x = 2 x 11 = 22   Option 55 and 22
Answer: E
What is the sum of the prime factors of 121 and the prime factors of 7434  Pick one:
A) 27	B) 67	C) 57	D) 37	E) 47

Solution: The prime factors of 7434are 3*3*2*7   The prime factors of 121 are 11*11   3+3+2+7+11+11= 
3+3+2+7+11+11 = 37
37. 37 is the correct answer
Answer: D
15% people of a village in Sri Lanka died by bombardment, 25% of the remainder left the village on account of fear. If now the population is reduced to 4555, how much was it in the beginning? Choose the correct option
A) 7400
B) 7145
C) 7200
D) 7323
E) 6030

Solution: X * (85/100) * (75/100) = 4555   X = 7145   Answer: 7145
Answer: B
A goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds.What is the length of the goods train?
Choose the correct choice from the following answers.
A) 230 m	B) 240 m	C) 260 m	D) 270 m	E) 250 m

Solution: s=250+x/t   72*5/18=250+x/26   x=270   ANSWER:270 m
Answer: D
Find the odd man out
1,5,14,30,50,55,91.	Pick:	A) 5	B) 50	C) 55	D) 91	E) 1

Solution: 50 is the odd man.. diff between sucessive no.s is a perfect square   ANSWER:50
Answer: B
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?	Pick one:
A) 6	B) 8	C) 10	D) 12	E) 14

Solution: Explanation:   33 + 43 + 53 = a3 => a = 6   6)
Answer: A
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 870 in 4 years. The rate of interest per annum is?	Choose the correct answer
A) 2 1/2 % B) 8 3/4% C) 5% D) 6 2/3 % E) 6%

Solution: S.I. on Rs. 800 for 1 year = (870 - 800) = Rs. 70 Rate = (100 * 70)/(800 * 1) = 8 3/4%   ANSWER:8 3/4%
Answer: B
A waitress's income consists of her salary and tips.During one week ,her tips were 2/4 of her salary.What fraction of her income for the week came from tips? Choose the correct choice from the following:
A) 1/9
B) 1/6
C) 1/3
D) 4/9
E) 5/9

Solution: Her tips were 2/4 of her salary.   Let's say her salary =$4   This mean her tips = (2/4)($4) =$2   So, her TOTAL IN1/3OME =$4+$2=$6   What fraction of her income for the week came from tips   $2/$64+ 2= 
4+ 2 = 6
$6   What fraction of her income for the week came from tips   $2/$6= 1/3   = 1/3
Answer: C
A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?  Choose the most appropriate option:
A) 13 B) 15 C) 17 D) 20 E) 22

Solution: F is fathers age and B is Boys age   F-B=B, F=2B   2B=36, B=18   Boys age 5 years back would be 13   13NSWER:13
Answer: A
34.94 + 240.016 + 23.98 = ? Choose one:
A) 298.936
B) 298.694
C) 289.496
D) 289.469
E) 298.964

Solution: 34.94   240.016   + 23.98   --------   298.936   298.936nswer is 298.936.
Answer: A
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choose the correct answer.
A) 16 2/9%  B) 16 4/3%  C) 16 2/3%  D) 16 3/3%  E) 12 2/3%

Solution: 10 16 2/3%P = 12 SP   12 --- 2 16 2/3%P loss   100 --- ? => 16 2/3%   Answer: 16 2/3%
Answer: C
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Choose the correct option:
A) Rs.4082.67  B) Rs.4082.99  C) Rs.4082.29  D) Rs.4082.40  E) Rs.4082.12

Solution: Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6   = Rs.4082.40   Answer:Rs.4082.40
Answer: D
How many different subsets of the set {10, 12, 17, 24} are there that contain an odd number of elements?	Choose the correct choice from the following choices:
A) 3
B) 8
C) 6
D) 10
E) 12

Solution: Answer = 8 = 8   {10}   {12}   {17}   {24}   {10, 12, 17}   {12, 17, 24}   {10, 17, 24}   {10, 12, 24}
Answer: B
A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey ,The number of buses that the car encounter is ? Choose the most appropriate option.
A) 15	B) 16	C) 17	D) 18	E) 19

Solution: Total journey = 100 km.   The bus travel starts from A at a time of 6 A.M. and each bus travels at a speed of 25 km/hr so time required for the bus to complete the journey = 4 hrs.   so the bus starts at 8:30 will meet with the car moving in opposite direction definitely.   Car travels from B at a speed of 20 km/hr so time of arrival of car at A is 5 P.M., it means the last bus which will meet with the car is that starts at 4:30 P.M.   so total bus ranges from 8:30 P.M. to 4:30 P.M. = 17   ANSWER:17
Answer: C
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.7, what is the probability that Malachi will return home at the end of the day on the following Monday?	Choose one.
A) 0.063	B) 0.125	C) 0.128	D) 0.512	E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probability of rain = 0.7   Therefore, probability of no rain = 0.3   0.3*0.3*0.7= 
0.3*0.3*0.7 = 0.063
0.063   Hence 0.063
Answer: A