MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint E, in gallons, that must be purchased in order to measure out the portions needed for the mixture?  Choose the correct answer
A) 2  B) 2 1/2  C) 3  D) 3 1/2  E) 4

Solution: Given W:B = 3:5   That means say 3 gallons of white paint + 5 gallons of black paint = 8 gallons of paint mixture.   But we want least amount of whiteblack paints for minimum of 2 gallons of mixture, so lets reduce keeping same ratio,   1.5 : 2.5 gives  1.5 + 2.5= 
 1.5 + 2.5 = 4
4 gallons of mixture, but we want only 2 gallons, lets further reduce   0.75: 1.25 gives  1+1.5= 
 1+1.5 = 2.5
2.5 gallons of mixture. This looks ok, but lets reduce further just to be sure   0.375: 0.625 gives  0.5 + 1= 
 0.5 + 1 = 1.5
1.5 gallons of mixture, thats less than 2 gallons of mixture, so not acceptable.   So correct ans is 2.5 gallons. 2 1/2
Answer: B
Statement: The authorities in Society X are cracking down on street hawkers, blaming them for traffic jams near their society.
Actions:
I. Street hawkers should not be allowed during peak hours
II. Street hawkers should be warned and asked not to create chaos.  Pick one
A) Only I follows
B) Only II follows
C) Either I or II follows
D) Neither I nor II follows
E) Both I and II follow

Solution: Explanation: Here a situation of traffic jam is depicted and the actions mentioned, give different ways for improving the situation.   ANSWER IS Only II follows
Answer: B
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 15 days starting with sunday is	Choose the most appropriate option:  A) 280  B) 285  C) 290  D) 295  E) 570

Solution: Explanation:   As the month begin with sunday, so there will be five sundays in the month. So result will be:   =(510×5+240×25/15)=(8550/15)= 
(8550/15) = 570
570   Answer: Option 570
Answer: E
A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?  Select.
A) 33388  B) 27889  C) 27889  D) 59000  E) 27991

Solution: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.   Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.   Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)   Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.   Income of A = Twice the income of B   (2500 + 18000 + P) = 2(P)   P = 20500   Total profit = 2P + 18000   = 2*20500 + 18000= 
2*20500 + 18000 = 59_000
59000   Answer:59000
Answer: D
After working for 4 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work? Options.
A) 13 1/3 days	B) 14 1/3 days	C) 15 1/3 days	D) 3 1/3 days	E) 23 1/3 days

Solution: 1/3 ---- 4   1 -------? 13 1/3 days = 12   R = 1/12 * 60/100 = 1/20   1 ----- 1/20   2/3 ----? => 13 1/3 days   13 1/3 daysNSWER:13 1/3 days
Answer: A
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:  Choose the correct choice from the following answers:
A) 2:3
B) 4:3
C) 6:7
D) 9:16
E) 9:7

Solution: Let us name the trains as A and B. Then,   (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4 : 3.   Answer :4:3
Answer: B
x is the product of all even numbers from 2 to 50, inclusive. The smallest prime factor of x+1 must be  Choose the correct choice from the following answers
A) Between 1 and 10
B) Between 11 and 15
C) Between 15 and 20
D) Between 20 and 25
E) Greater than 25

Solution: Factorial 2 +1= 
2 +1 = 3
3   smallest factor is 3==>this is greater than 2   factorial 3 + 1=7   smallest factor is 7==>this is greater than 3   factorial 4 + 1 = 25   smallest factor is 5==>which is greater than 4   factorial 5 + 1= 121   smallest factor is 11==>which is greater than 5   (note: i am excluding 1 as a smallest factor)   now by seeing this pattern you can figure out that..   (factorial x + 1)==>smallest factor will always be greater than x   now coming to our problem   all even no.s between 2 to 50   2*4*6*8......*48*50   now take 2 from each number common.   2^25(1*2*3*4*5*......25)   or 2^25*factorial 25   now x+1= 2^25*factorial 25 + 1===>clearly smallest factor will be greater than 25(as proved above)   ANSWGreater than 25R:Greater than 25
Answer: E
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.95 less, he could have gained 25%. What is the cost price?	Choose the correct choice from the following options
A) 372	B) 375	C) 278	D) 475	E) 288

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   95 ----- ?=> 475   Answer:475
Answer: D
At a local appliance manufacturing facility, the workers received a 25% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked? Pick:
A) 83%
B) 80%
C) 20%
D) 17%
E) 12%

Solution: Let's say he works usually 10 hours and earns 100 per hour.   10 * 100= 
10 * 100 = 1_000
1000   10 * 125= 
10 * 125 = 1_250
1250 (this are the new earnings after the raise)   To figure out how much he needs to work with the new salary in order to earn the original 1000:    1000/125= 
 1000/125 = 8
8   So he can reduce his work by 2 hours. Which is 20%.   Answer 20%
Answer: C
50% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Pick one
A) 70  B) 97  C) 84  D) 90  E) 76

Solution: Given, 50% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 50% of Ram's marks = 24.   => Ram's marks = (24 * 100)/50= 
(24 * 100)/50 = 48
48   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (48 + 120)/2= 
(48 + 120)/2 = 84
84.   Answer:84
Answer: C
The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 6 years will be Choices.
A) 2 : 3
B) 7 : 11
C) 5 : 4
D) 4 : 5
E) 11 : 9

Solution: Let Mini’s age = 4x and Minakshi’s age = 3x   Then 4x + 3x = 28   x = 4   Mini’s age = 16 years   And Minakshi’s age = 12 years   Ratio of their ages after 8 years = (16 + 6) : (12 + 6) = 22 : 18 = 11 : 9   ANSW11 : 9R:11 : 9
Answer: E
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 11220, how much money did he borrow?	Choose the correct choice from the following.
A) 11000 B) 80288 C) 2668 D) 2600 E) 2781

Solution: Let the sum be Rs. x. Then,   [(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 11220   18x + 45x + 39x = (11220 * 100)   102x = 1122000 => x = 11000.   11000nswer:11000
Answer: A
The owner of a furniture shop charges his customer 42% more than the cost price. If a customer paid Rs. 8300 for a computer table, then what was the cost price of the computer table? Pick one:
A) Rs. 5725
B) Rs. 5845
C) Rs. 6275
D) Rs. 6725
E) None of these

Solution: CP = SP * (100/(100 + profit%))   = 8300(100/142) = Rs. 5845.   ANSWER:Rs. 5845
Answer: B
When Jack picks olives for two hours at three times his regular speed, he picks 20 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then	Choose the correct choice from the following.
A) Jack picks double the amount of olives Mac picks	B) Mac picks 10 pounds more than Jack	C) Jack picks 10 pounds more than Mac	D) Mac picks 5 more pounds than Jack	E) Jack picks 5 more pounds than Mac

Solution: Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr   Given:   2*3J = 10 + 5*(4/5)M   3J = 5 + 2M   Question:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed   Mac picks 2M and Jack picks   4*(3/4)= 
  4*(3/4) = 3
3J   They are asking you for the relation between 3J and 2M. You already know 3J= 5 + 2M   So Jack picks 5 pounds more olives than Mac.   Mac picks 5 more pounds than Jack
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 3 seconds. What is the length of the fast train ?  Pick one: A) 27 7/9 B) 16 2/3 C) 29 7/9 D) 30 7/9 E) None of these

Solution: Explanation:   As Trains are moving in same direction,   So, Relative Speed = 40-20= 
40-20 = 20
20 kmph= 20*(5/18) = 50/9 m/sec   Length of Train= Speed * Time   Length=50/9âˆ—3   =150/9   =16 2/3   Option 16 2/3
Answer: B
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Poe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Poe?	Pick:
A) 15
B) 60
C) 75
D) 90
E) 105

Solution: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.   Teena covers 55 miles in 60 mins.   Poe covers 40 miles in 60 mins   So teena gains 15 miles every 60 mins   Teena need to cover 7.5 +15 miles.   Teena can cover 7.5 miles in 30 mins   Teena will cover 15 miles in 60 mins   So answer 30+60= 
30+60 = 90
90 mins=90
Answer: D
What is the average of four tenths and five thousandths? Choose the correct choice from the following options
A) 0.2022	B) 0.2012	C) 0.2025	D) 0.2021	E) 0.2029

Solution: Four tenths = 0.4   Five thousandths = 0.005   The average is (0.4 + 0.005)/2= 
(0.4 + 0.005)/2 = 0.2025
0.2025   Answer: 0.2025
Answer: C
Find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm? Choose the most appropriate option
A) 50 cm2 B) 60 cm2 C) 75 cm2 D) 90 cm2 E) 150 cm2

Solution: 1/2 * 15(6 + 4)   = 75 cm2   Answer: 75 cm2
Answer: C
The number of ways in which ten candidates A1, A2, ...., A10 can be ranked so that A1 is always above A2 is Choose the correct choice from the following:  A) 10!⁄2  B) 10!  C) 9!  D) 8!⁄2  E) None of these

Solution: Ten candidates can be ranked in 10! ways. In half of these ways A1 is above A2 and in another half A2 is above A1.   So, required number of ways is 10!⁄2   10!⁄2nswer 10!⁄2
Answer: A
The avg. age of a group of 16 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?	Choose the correct choice from the following answers.
A) 22 years B) 23 years C) 24 years D) 25 years E) 26 years

Solution: Total age of 16 students=16*20= 
16*20 = 320
320   If total age of 4 students=x   Then, (320+x)/(16+4) =(20+1), x=100   So average age of new students=100/4= 
100/4 = 25
25 years   ANSWER:25 years
Answer: D
M = {-6, -5, -4, -3, -2, -1}
T = {-5, -4, -3, -2, -1, 0, 1, 2}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative? Choose the correct answer:
A) 0  B) 1/4  C) 2/5  D) 1/2  E) 3/5

Solution: We will have a negative product only if 1 or 2 are selected from set T.   P(negative product) = 2/8 = 1/4   The answer is 1/4.
Answer: B
A cistern which could be filled in 9 hours takes 1 hour more to be filled owing to a leak in its bottom.If the cistern is full, in what time will the leak empty it?  Choose the most appropriate option:  A) 50hours  B) 62hours  C) 90hours  D) 75hours  E) 100hours

Solution: Let the leak empty the full cistern in x hours   9x/x-9 = 9+1   x = 90 hours   Answer is 90hours
Answer: C
If the position of the first, sixth digits of the number 2796543018 are interchanged, similarly the positions of the the second and seventh digits are interchanged and so on, which of the following will be the left of seventh digit from the left end?
Pick:
A) 1
B) 2
C) 6
D) 7
E) 8

Solution: Explanation:   The new number formed is 4 3 0 1 8 2 7 9 6 5   The seventh digit from the left is 7, the 3rd digit from the left of 7 is 1   1nswer: 1) 1
Answer: A
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 30% lemonade syrup? Choices:
A) 1.5 B) 1.75 C) 2.14 D) 2.34 E) 2.64

Solution: Let the total solution is 150 L with 80 L water70 L syrup.   To make 30% syrup solution, the result solution must have 105 L syrup and 45 L syrup.   Therefore we are taking 25 L of syrup from initial solution and replacing with water.   using urinary method:   70 L syrup in 150 L solution   25 L syrup in 53.6 L solution   We started by multiplying 10   Now to get to the result we need to divide by 25 => amount of solution to be replaced with water = (53.6/25) = 2.14.   2.14orrect option : 2.14
Answer: C
Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of milk. The pattern repeats after she leaves the morsel of milk. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?	Choose the correct choice from the following choices:
A) milk − wheat − wheat
B) wheat − wheat − white
C) white − milk − wheat
D) white − white − white
E) white − white − milk

Solution: In a single round Lucy drops 6 morsels.   Remainder (2000/6) = 2   Final action = 2 drops of Wheat --> Options B, C, D and E can be eliminated   milk − wheat − wheatnswer: milk − wheat − wheat
Answer: A
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Answers:
A) 3
B) 4
C) 5
D) 7
E) 8

Solution: Area of the park = (60 x 40) m2 = 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2 = 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3.   3
Answer: A
If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/4 meter, and then if the cable were cut at each mark, how many different size length of cable would result?  Choose the correct choice:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: In this particular example length (10 meter) is just extraneous information.   The location of the marks for 1/3 meter would be 4/12, 8/12, 12/12, etc...   The location of the marks for 1/4 meter would be 3/12, 6/12, 9/12, 12/12, etc...   The distances between marks are 3/12, 1/12, and 2/12.   The answer is 3.
Answer: C
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 1 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Choose the correct answer
A) 2.5 hours
B) 4.5 hours
C) 5.5 hours
D) 1 hour
E) None of these

Solution: Explanation :   Tap A can fill the tank completely in 6 hours   => In 1 hour, Tap A can fill 1⁄6 of the tank   Tap B can empty the tank completely in 12 hours   => In 1 hour, Tap B can empty 1⁄12 of the tank   i.e., In one hour, Tank A and B together can effectively fill 1⁄6 - 1⁄12 = 1⁄12 of the tank   => In 1 hours, Tank A and B can effectively fill 1⁄12 × 1 = 1⁄12 of the tank.   Time taken to fill the remaining 1−(1/12) = 11/12 of the tank = (11/12)/(1/6)= 
(11/12)/(1/6) = 11/2 = around 5.5
5.5 hours. Answer : Option 5.5 hours
Answer: C
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 149, what is the difference between the ages of Patrick and Monica?	Choices.
A) 27
B) 64
C) 45
D) 72
E) 18

Solution: Ages of P and Mi=3x+5x   Ages of Mi and Mo=3x:5x   Rationalizing their ages. ratio of their ages will be 9x:15x:25x   Sum=47x=149   x=4   Difference if ages of Pa and Mo=25x-9x=16x25 -9= 
25 -9 = 16
16x=16*4= 
16*4 = 64
64   Answer 64
Answer: B
What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?  Choose one.
A) 7	B) 6	C) 3	D) 4	E) 9

Solution: Let the least number to be subtracted be 'x', then 11 - x, 15 - x, 21 - x and 30 - x are in proportion.   <=> (11 - x):(15 - x) = (21 - x):(30 -x)(21 - x)   From the options, when x = 3   => 8 * 27 = 12 * 18 => then x = 3. => (11 - x)(30 - x) = (15 - x)(21 - x)   Answer: 3
Answer: C
A triangle has three angles all with the same ratio to each other, 1:1:1. What is the angle measurement?
Choose the correct choice from the following options:
A) 45Â°	B) 60Â°	C) 75Â°	D) 90Â°	E) 105Â°

Solution: If the ratio is 1:1:1, and the total angle measurement is 180Â°, then the equation is   x + x + x = 180Â°   3x = 180Â°   x = 60Â°   Therefore the answer is 60Â° or 60Â°.
Answer: B
Company C sells a line of 25 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 12 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choose one.
A) 10,000  B) 11.0  C) 12,000  D) 13,200  E) 14,000

Solution: The average price of 25 products is $1,200 means that the total price of 25 products is 25*1,200=$30,000.   Next, since exactly 12 of the products sell for less than $1,000, then let's make these 12 items to be at $400 each (min possible).   Now, the remaining 12 items cannot be priced less than $1,000, thus the minimum possible price of each of these 12 items is $1,000.   Thus the minimum possible value of 24 products is 12*400+12*1,000=$16,800.   Therefore, the greatest possible selling price of the most expensive product is $30,000-$16,800=$13,200.   Answer: 13,200.
Answer: D
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 10 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?	Select the correct option: A) 2.8% B) 3.6% C) 4.4% D) 5.2% E) 4.8%

Solution: Let amount spent by Jill = 100   Clothing=50, Food=20, others=30   Tax on clothing= 2.4   Tax on others=2.4   Percentage= 4.8/100 =4.8%   Answer: 4.8%
Answer: E
What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ? Choose the correct choice from the following choices.
A) 1386  B) 1276  C) 1566  D) 1466  E) 1577

Solution: LCM of 12,14,18 and 22 = 2772   least no which will be exactly divisible by 12,14,18 and 22 = 2772   2772/2= 
2772/2 = 1_386
1386   1386 is the number when doubled 2772=>1386 is the least exactly divisible by 12,14,18 and 22.   1386NSWER 1386
Answer: A
All of the stocks on the over-the-counter market are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? Options:
A) 27(26^3) B) 26(26^4) C) 27(26^4) D) 26(26^5) E) 27(26^5)

Solution: Number of 4-letter codes: 26 * 26 * 26 = 26^3   Number of 5-letter codes: 26 * 26 * 26 * 26 = 26^4   Total Number of codes: 26^3 + 26^4 = 26^3 + 26*(26^3) = 27*(26^3)   Therefore, the answer is 27(26^3): 27*(26^3).
Answer: A
One dog tells the other that there are two dogs in front of me.The other one also shouts that he too had two behind him. How many are they?
Choices
A) 3  B) 4  C) 1  D) 6  E) 78

Solution: Explanation:   Dog   Dog   Dog   So there are 3 dogs.   They are in circle.   3nswer: 3
Answer: A
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 5 days. For how many number of days should A and C should work together to complete the remaining work ?
Choose the correct choice from the following
A) 1/2  B) 2/3  C) 3/4  D) 4/3  E) 5/2

Solution: b work 1/8 * 5=5/8   remaining work =1-5/8=3/8   a and c work together =1/6+1/12=3/12=1/4   take remaining work is done in =8/3 *1/4=2/3 days   ANSWER:2/3
Answer: B
An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choose the correct choice from the following answers:
A) 18 B) 30 C) 64 D) 6720 E) 216

Solution: Arrangement means permutations questions..   8P3 = 8!/3! = 6720   .   ANS option 6720 is correct answer..
Answer: D
How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year? Choices
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: (3) 3 , with 2 we will have exactly 50%, so for more than 50% should be 3.
Answer: C
Find the no. of ways in which 8 different flowers can be stung to form a garland so that 4 particular flowers are never separated.	Choose the correct choice from the following
A) 3!x3! B) 7!x3! C) 7!x4! D) 8!x4! E) 4!x4!

Solution: Condsidering the 4 particular flowers as one unit we have 5 flowers, which can be arranged in garland in 4! ways. But the flowers can be arranged in 4! ways. Therefore required no. of ways is 4!x4!. Ans:(4!x4! )
Answer: E
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 6. If X invested Rs.5,000. the amount invested by Y is	Pick.
A) Rs.45,000 B) Rs.50,000 C) Rs.60,000 D) Rs.15,000 E) None

Solution: Solution   Suppose Y invested Rs.y   Then,	5000 /y = 2 / 6   â€¹=â€º y=(5000Ã—6 / 2).   â€¹=â€º y=15000.   Answer Rs.15,000
Answer: D
If f(a)=2a, what is the value of (f(a-b)+f(a))/b ?  Choose one:
A) 4a/b	B) 3a+4b/b	C) (4a-2b)/b	D) 5a-6b*b	E) 8a-7b/b

Solution: f(a)=2a   f(a-b)= 2(a-b)   (f(a-b)+f(a))/b = (2(a-b)+2a)/b = (4a-2b)/b   Answer is (4a-2b)/b
Answer: C
A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number	Choose the correct choice:
A) 8	B) 10	C) 12	D) 14	E) 16

Solution: Explanation:   => 3(2x+9) = 75   => 2x+9 = 25   => x = 8   Option 8
Answer: A
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 9 miles?	Pick
A) 27/5	B) 26/5	C) 23/5	D) 22/5	E) 21/5

Solution: 1 km is approxmately equal to 0.6 miles   So 9 km = 9*0.6= 
9*0.6 = 5.4
5.4 miles . Multiple & divide by 10   i.e 5.4*10/10= 54/10 = 27/5   27/5nswer : 27/5
Answer: A