MU-NLPC/Calc-aqua_rat huggingface dataset:
Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked six 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week? Options:	A) 280	B) 300	C) 480	D) 350	E) 400

Solution: Jill earns 4 dollars/hour and the hourly tip is (3/20)*40.   Jill thus earns 4*8+8*2*3 per day(or 4(8)+6(8)=10(8)=80).   Jill has worked for 6 days -> 80*6=480.   This matches answer choice 480.
Answer: C
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?	Choose the correct choice: A) 1,20,003 B) 1,20,000 C) 1,20,001 D) 1,20,027 E) 1,20,004

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,20,000   Answer:1,20,0001,20,000
Answer: B
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choose the correct answer: A) 18/35 B) 12/35 C) 17/35 D) 19/35 E) None of these

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35 = 18/35   18/35NSWER:18/35
Answer: A
What is the square root of 239,121?	Answers:
A) 476	B) 489	C) 497	D) 511	E) 524

Solution: According to divisibility rules, 239,121 is divisible by 9.   2+3+9+1+2+1= 
2+3+9+1+2+1 = 18
18   This means, that the answer choice must be divisible by 3   A) 4+7+6= 17 NO   489) 4+8+9= 21 YES   C) 4+9+7= 20 NO   D) 5+1+1= 7 NO   E) 5+2+4= 11 NO   489 is the only answer
Answer: B
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 94 percent in some time period, which of the following could be the final mass of that element?	Choose the correct choice from the following.
A) 27 grams	B) 28 grams	C) 29 grams	D) 31 grams	E) 32 grams

Solution: Final mass/0.06 = Original mass   Original mass is a whole number. Only 27 is divisible by 0.06 or 2700/6 is a whole number.   27 gramsnswer: 27 grams
Answer: A
Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?  Pick one.
A) Rs.400 B) Rs.450 C) Rs.500 D) Rs.550 E) Rs.600

Solution: Find cost price   Let C.P. of book = x and S.P. = Rs. 450   S.P. of book = C.P. – (10% of C.P.)   S.P. = x – (0.10x)   450 = 0.9 x   x i.e cost price = Rs.500   Rs.500
Answer: C
What is the smallest number which when increased by 3 is divisible by 27, 35, 25, & 21 ? Choose the correct option.
A) 4722	B) 4725	C) 4728	D) 4731	E) 4733

Solution: Here smallest number means LCM   Hence LCM of 27,35,25,21 = 3^3 x 5^2 x 7   = 4725   Therefore required number is   4725 - 3= 
  4725 - 3 = 4_722
4722   4722ns - 4722
Answer: A
A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty? Options.
A) 2/3	B) 2/5	C) 4/9	D) 5/7	E) 4/11

Solution: 2/3 ---- 12   ? ----- 8 ==> 4/9   4/9
Answer: C
If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?  Choices:
A) 11/3
B) 11/2
C) 2^11 - 1
D) 3^10
E) 3^11 - 1

Solution: 2^k + 2^k = (2^9)^2^9 - 2^k   2*(2^k) = 2 ^ (4 * 3^9 ) = 2^(2^2 * 2^9) = 2^(2^11)   2^k+1 = 2^(2^11)   So k+1 = 2^11   So k = 2^11 -1   Answer is 2^11 - 1
Answer: C
In a group of 10 doctors, 3 doctors are only pediatricians; the others are surgeons or general practitioners - but not both. A team of 3 doctors is to be chosen which must have at least 1 pediatrician, how many different teams can be chosen?	Choose the correct option:
A) 85 B) 140 C) 60 D) 80 E) 75

Solution: The problem asks for a combination, since order doesn't matter. Now, selecting r items from a set of n gives the Combination Formula: nCr= n!/r!(n-r)!   n = 10   r = 3   So, total teams is 10C3 = 10!/(3!(10 - 3)!) = 120, and   n = 10 - 3= 
10 - 3 = 7
7   r= 3   for teams without a pediatrician is 7C3 = 7!/(3!(7 - 3)!) = 35,   so, teams with at least 1 pediatrician = 120 - 35= 
120 - 35 = 85
85   85nswer: 85
Answer: A
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?  Choose the correct option:
A) 22	B) 10	C) 99	D) 77	E) 29

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = 9/54 * 60= 
9/54 * 60 = 10
10 min.   Answer:10
Answer: B
Nicole cycles at a constant rate of 12 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?  Choose the correct option:
A) x/3
B) x/2
C) x
D) 3x/2
E) 2x

Solution: In x minutes, Jessica travels (x/60)*30 = x/2 miles   The time it takes Nicole to travel x/2 miles is (x/2) / 12 = x/24 hours = 5x/2 minutes   Jessica needs to wait 5x/2 - x = 3x/2 minutes.   The answer is 3x/2.
Answer: D
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 400 per sq.metre.
Choose the correct choice from the following answers
A) Rs. 15,000  B) Rs. 8,250  C) Rs. 15,600  D) Rs. 16,500  E) None

Solution: Solution   Area of the floor	= (5.5 x 3.75)m²   = 20.635m ²   Cost of paying	= Rs. (400 x 20.625)   = Rs.8,250.   Answer Rs. 8,250
Answer: B
If x, y, and a are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=a and if x is less than y, which of the following could be the value of a?  Answers:	A) 10	B) 12	C) 15	D) 18	E) 30

Solution: Answer choice C: a= 15   (10x + 20y)/(x+y) = 15   10x + 20y = 15x + 15y   5y = 5x   y = x   Doesn't work because the problem states that x<y.   We need y to be larger, so let's try answer choice D: a=18   10x + 20y = 18x + 18y   2y = 8x   y/x = 8/2   Success! x<y.   The correct answer is 18.
Answer: D
With out any halt a train travels a certain distance with an average speed of 66 km ph , and with halts it covers the same distance at an average speed of 33 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?	Choose the correct option
A) 48 min.	B) 12min.	C) 60min.	D) 18min.	E) 19min.

Solution: With halt in 1 hour the train travels 60km   With out halt for traveling same distance it take  66/33= 
 66/33 = 2
2/1= 120 minutes   :. 60 minutes is the halting time per hour   ANSWER:60min.
Answer: C
After 76 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Choose the correct option
A) 7 liters  B) 4 liters  C) 3 liters  D) 2 liters  E) 6 liters

Solution: 95% ----------- 76   5% ------------ ?   => 4 liters   Answer: 4 liters
Answer: B
A part-time employee’s hourly wage was increased by 15%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Choose the correct option.
A) 13% B) 15% C) 25% D) 50% E) 100%

Solution: Let's plug in somenicenumbers and see what's needed.   Let's say the employee used to make $1/hour and worked 100 hours/week   So, the TOTAL weekly income was $100/week   After the 15% wage increase, the employee makes $1.15/hour   We want the employee's income to remain at $100/week.   So, we want ($1.15/hour)(new # of hours) = $100   Divide both sides by 1.15 to get:   new # of hours = 100/1.15   ≈ 87 hours   So, the number of hours decreases from 100 hours to (approximately) 87 hours.   This represents a 13% decrease (approximately) .   13%nswer : 13%
Answer: A
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?  Choose the correct choice from the following answers
A) 2000
B) 2088
C) 2799
D) 2098
E) 2798

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer: 2000
Answer: A
If the curve represented by y = x^2 – 5x + t intersects with the x-axis at two points and one of the points is (–1, 0), what is the other point?  Choose the correct choice from the following answers.
A) (1, 0)  B) (–2, 0)  C) (5, 0)  D) (6, 0)  E) (3, 0)

Solution: Curve represented by y = x^2 – 5x + t intersects with the x-axis at points where y = 0.   One of the points is (-1,0) Plugging in the equation => 0 = 1 + 5 + t => t = -6   Plugging t back to the equation now we have y = x^2 – 5x - 6, where y = 0.   This equation gives 2 solution x= -1 and 6.   We already know about the point (-1,0) so the other point is (6,0).   Hence (6, 0).
Answer: D
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 11,000?	Pick:
A) 50,000	B) 2,750,000,000	C) 850,000	D) 7,500,000	E) 750,000,000

Solution: number of cars sold = x=800000-50y   y=11000   x=800000-550000= 
800000-550000 = 250_000
250000   revenue from 250000 cars=11000*250000= 
11000*250000 = 2_750_000_000
2750000000 2,750,000,000
Answer: B
850 - (1500 ÷ ?) × 8/15 = 770
Options:  A) A)31  B) B)10  C) C)15  D) D)26  E) E)17

Solution: Explanation:   => 850 - (1500 ÷ ?) × 8/15 = 770   => 850 - 770 = (1500 ÷ ?) × 8/15   => 80 = (1500 ÷ ?) × 8/15   => 80 × 15/8 = (1500 ÷ ?) = 150   => 1/? = 150/1500 = 1/10   => ? = 10   Answer: Option 10
Answer: B
Two pipes can fill a tank in 10 minutes and 15 minutes. An outlet pipe can empty the tank in 30 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choose one:
A) 7.0
B) 7.5
C) 8.0
D) 8.5
E) 9.0

Solution: Let V be the volume of the tank.   The rate per minute at which the tank is filled is:   V/10 + V/15 - V/30 = 2V/15 per minute   The tank will be filled in   15/2= 
  15/2 = 15/2 = around 7.5
7.5 minutes.   The answer is 7.5.
Answer: B
Find the odd man out.
41, 43, 47, 53, 61, 71, 73, 81	Choose the correct option
A) 22 B) 88 C) 27 D) 81 E) 01

Solution: Explanation:   Each of the numbers except 81 is a prime number.   Answer: 81) 81
Answer: D
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choose the correct choice from the following answers:
A) 0.9	B) 0.7	C) 0.45	D) 0.3	E) 0.25

Solution: Percent of students who are 25 years old or older is 0.4*48+0.2*52=~30, so percent of people who are less than 25 years old is   100-30= 
  100-30 = 70
70.   Answer: 0.7.
Answer: B
A reduction of 30% in the price of oil enables a house wife to obtain 3kgs more for Rs.700, what is the reduced price for kg?
Select the correct option:	A) 70	B) 50	C) 60	D) 80	E) 65

Solution: 700*(30/100)= 
700*(30/100) = 210
210---- 3   ? ---- 1=> Rs.70   70nswer:70
Answer: A
City X has a population 7 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?  Choose the correct choice from the following answers.
A) 1:8  B) 1:4  C) 2:1  D) 14:1  E) 18:1

Solution: x= 7y, y= 2*z   X : Y , Y : Z   7 : 1 , 2 : 1   14 : 2 , 2 : 1   So, X : Z = 14 : 1   (14:1)
Answer: D
The width of a rectangular hall is ½ of its length. If the area of the hall is 288 sq.m, what is the difference between its length and breadth?	Pick.
A) 8m	B) 10m	C) 12m	D) 15m	E) 17m

Solution: Let the length of the hall be x m   Breadth of the hall = 1x/2 m   Area of the hall = Length * Breadth   288 = x * 1x/2   x² = 576   x =24   Difference between the length and breadth of the hall = x - 1x/2 = x/2   =24/2= 
24/2 = 12
12m   ANSWER:12m
Answer: C
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 2 shirts each of them then average number of shirt each of them now has
Pick one
A) 66 B) 63 C) 62 D) 64 E) 61

Solution: Required average   = Old average + New average   = 60 + 2= 
60 + 2 = 62
62   answer :62
Answer: C
If 5% more is gained by selling an article for Rs. 1000 than by selling it for Rs. 20, the cost of the article is?  Choose the correct choice:
A) 127
B) 1600
C) 1200
D) 1680
E) 1800

Solution: Let C.P. be Rs. x.   Then, 5% of x = 1000 - 20= 80   x/20 = 80 => x = 1600   Answer: 1600
Answer: B
Of the 800 employees of Company X, 80 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?	Choose the correct choice from the following
A) 200 B) 160 C) 400 D) 80 E) 56

Solution: Original (Long-Term is 70%)   Total = 800   Long-Term = .8(800) = 640   New (Long-Term is 60%)   New Total = 800 - y   New Long-Term = 640 - y   640 - y = .6 (800 - y)   y = 400   Answer: 400
Answer: C
The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?	Select the correct option.
A) 5 : 3 : 1	B) 5 : 3 : 2	C) 10 : 7 : 4	D) 10 : 8 : 5	E) None of these

Solution: Let the prices of X, Y and Z be 8k, 5k and 3k respectively.   After increase   Price of X = 8k * 125/100 = 10k   Price of Y 8  * 125/100= 
8  * 125/100 = 10
10k   Price of Y= 5k * 120/100 = 6k   Price of Z 5  * 120/100= 
5  * 120/100 = 6
6k   Price of Z= 3k * (133 1/3)/100 = 4k   Required ratio = 10k : 6k : 4k = 5 : 3 : 2.   ANSWER:5 : 3 : 2
Answer: B
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? Choose the correct choice
A) 9 min
B) 3 min
C) 5 min
D) 8 min
E) 10 min

Solution: 1/10 + 1/15 - 1/x = 1/18   x = 9   9 minNSWER 9 min
Answer: A
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent? Options:	A) 11 1/7%	B) 11 1/8%	C) 11 1/9%	D) 11 9/9%	E) 14 1/9%

Solution: 900 --- 100   100 --- ? => 11 1/9%   Answer: 11 1/9%
Answer: C
A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey ?
Pick one.
A) 1 kmph B) 5 kmph C) 5.5 kmph D) 4 kmph E) 7 kmph

Solution: Explanation:   Speed of Man = 6.5 kmph   Speed of stream = 2.5 kmph   Speed in DownStream = 9 kmph   Speed in UpStream = 4 kmph   Average Speed = (2 x 9 x 4)/13 = 5.5 kmph.   Answer: 5.5 kmph
Answer: C
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 6 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?	Choose the correct choice from the following answers:
A) 25 B) 35 C) 75 D) 78 E) 90

Solution: A + B + C = 3 *84= 
3 *84 = 252
252   A + B + C + D= 4 * 80= 
4 * 80 = 320
320 ---- (i)   So, D= 68& E = 68 +6= 
68 +6 = 74
74   B + C + D +E= 79 * 4= 
79 * 4 = 316
316 --- (ii)   From Eq. (i) & (ii)   A-E= 320 â€“ 316 = 4   A = E +4 = 74 + 4= 
74 + 4 = 78
78   78
Answer: D
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 19. What is the last numbers? Choose the correct choice from the following answers
A) 2  B) 4  C) 6  D) 8  E) 7

Solution: A + B + C = 48   B + C + 8 = 45   A + 8 = 19   A – 8 = 3   A + 8 = 19   28 = 16   8 = 8   ANSWER 8
Answer: D
If 30 men take 15 days to to complete a job, in how many days can 25 men finish that work?
Pick one
A) 18 B) 17 C) 16 D) 15 E) 14

Solution: Ans. 18 days
Answer: A
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + 2n? Choose the correct choice.
A) 11	B) 18	C) 20	D) 25	E) 40

Solution: k^4=5400∗mn   k^4=3^3.2^3.5^2.mn   In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 & 5^2   mn=3.2.5^2   mn = 150 = 10 * 15 (Least possible)   Answer = 10 + 15*2= 
10 + 15*2 = 40
40   ANSW40R:40
Answer: E
Four years back, a father was 32 years older than his son. At present the father is 3 times as old as the son. How old will the son be three years from now? Pick one:
A) 16 years
B) 17 years
C) 18 years
D) 19 years
E) 20 years

Solution: Using linear equations to convert the word problem:   ** F = fathers current ageS = sons current age   #1 Four years back, a father was 32 years older than his son: F-4 = 32 + (S - 4)   #2 At present the father is 3 times as old as the son: F = 3*S   How old will the son be three years from now?: S + 3 = ?   With two variables and two linear equations we are able to solve the problem:   (S*3) - 4 = 32 +S -4   2S=32   S = 16   S + 3 = 16 + 3= 
16 + 3 = 19
19   Answer: 19 years
Answer: D
Nine people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:	Answers:
A) 7/8
B) 1/8
C) 1/3
D) 1/7
E) 1/9

Solution: Original share of 1 person =1/9   New share of 1 person =1/8   Increase =1/8 -	1/9	=1/72   Required fraction =	(1/72)/(1/9)=1/8   Answer is 1/8.
Answer: B
Today is Monday. After 61 days, it will be	Choose the correct option: A) Thursday B) Sunday C) Monday D) Saturday E) Friday

Solution: Explanation:   61 days = 8 weeks 5 days = 5 odd days   Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)   = Saturday   Answer: Option Saturday
Answer: D
A bag holds 4 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?  Choices:
A) 4/14  B) 1/5  C) 3/10  D) 2/5  E) 1/2

Solution: Given: 4R and 3 G marbles   Required: Probability that 2 marbles removed without replacement are both red   Initially we have to pick one red from a total of 4 red and 3 green marbles   After one red has been picked, we need to pick 1 red from a total of 3 red and 3 green marbles.   P(Both red) = (4/7)*(3/6) = 4/14   Option 4/14
Answer: A
If y = x^2 + rx + s, y is minimum when x is: Pick one
A) r/s
B) -r/s
C) -r/2
D) -s/2
E) s/r

Solution: We're given the equation Y = X^2 + rX + s.   IF.. we use a simple Classic Quadratic....   r = 2   s = 1   Y = X^2 + 2X + 1   We can then go about finding the answer that yields the MINIMUM result when X = ...   Answer A: r/s = 2/1= 
2/1 = 2
2 --> 4+4+1= +9   Answer B: -r/s = -2/1 = -2 --> 4-4+1 = +1   Answer -r/2: -r/2 = -2/2 = -1 --> 1-2+1 = 0   Answer D: -s/2 = -1/2 -->(1/4)-1+1 = +1/4   Answer E: s/r = 1/2 --> (1/4)+1+1 = +2 1/4   From these results, we can see the minimum result:   -r/2
Answer: C
For dinner at a restaurant, there are x choices of appetizers, y main courses, and z+ 1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choose one:
A) x + y + z + 1 B) xyz + xy C) xy + z + 1 D) xyz + 1 E) xyz + 1/2

Solution: x appetizers,   y main courses,   z+ 1 dessert   Required: 1 appetizer, 1 main course, and 1 dessert   Number of ways possible = xC1*(z+1)C1*yC1 {NC1 = N! / (N-1)!*1! = N}   Hence, number of ways = x(z+1)y = xyz + xy   Correct Option: xyz + xy
Answer: B
There are 14 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?  Choose the correct choice from the following options:
A) 36/91  B) 30/83  C) 25/71  D) 15/61  E) 5/31

Solution: P(first stamp is different) = 9/14   P(second stamp is different) = 8/13   P(both stamps are different) = 9/14*8/13 = 72/182 = 36/91   The answer is 36/91.
Answer: A
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 8 people to travel x miles if he decides to give them a 50% discount?  Pick one:
A) 3xr/2 B) 3x/200r C) 3r/200x D) xr/25 E) xr/600

Solution: 8xr/2 is in cents - 8xr/200 dollars = xr/25   Answer : xr/25
Answer: D
A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 25 percent less than the package of ground beef. What was the cost per pound of the steak?
Choices:	A) $2.00	B) $2.15	C) $2.30	D) $2.40	E) $2.65

Solution: For simplicity, let's assume the customer bought 1 pound of ground beef for $1.80.   Let x be the price per pound for the steak.   Then 0.75x = 180   x = 180/0.75 = $2.40   The answer is $2.40.
Answer: D
if x:y = 1:4, then find the value of
(7x+3y):(2x+y)  Options:
A) 14:5
B) 15:5
C) 16:5
D) 19:6
E) None of these

Solution: Explanation:   let x = 1k and y = 4k, so   =7(k)+3(4k)/ 2(k)+1(4k)   =19k/6k   =19:6   Option 19:6
Answer: D
The NASDAQ index has decreased by 70% since year 2000. How much should the index increase in order to gain the same value as in year 2000 ?
Choose the correct answer:
A) 400%  B) 80%  C) 233%  D) 60%  E) None of the above

Solution: Let x be the index in the year 2000. After the decrease it becomes 0.3x   Now for 0.3x to reach 1x it has to raise by 0.7x. The increase needs to be 0.7x/0.3x*100=233.3%   Answer 233%
Answer: C
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 70, then the average marks of all the students is:  Options
A) 53.33 B) 54.68 C) 57.5 D) 56 E) None of these

Solution: Explanation:   Required average = (55 × 50 + 60 × 55 + 45 × 70/55 + 60 + 45)   = (2750 + 3300 + 3150/160)   = 9200/160= 
9200/160 = 115/2 = around 57.5
57.5   Answer: 57.5
Answer: C
If f(x)=x^2 and x is a positive integer, which of the following CAN be the value of f(f(x))?
Select.
A) 25	B) 17	C) 81	D) 144	E) 258

Solution: f(x)=x^2   f(f(x)) = (x^2)^2   f(f(3) = (3^2)^2 = 81   Answer 81
Answer: C
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?  Choose the correct choice
A) 20
B) 26
C) 24
D) 22
E) 30

Solution: Total # of codes possible is 3*3*3= 
3*3*3 = 27
27. Oit of those 27 codes only the product of 333 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even= (total) - (restriction) = 27 - 1= 
27 - 1 = 26
26.   Answer: 26
Answer: B
How many 6-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example Choose the correct option
A) 100	B) 610	C) 729	D) 900	E) 1000

Solution: The hundred-thousand's digit won't be zero or else it's no longer a 6 digit integer (you could form a palindromic number with five digits though). The subesquent two digits, ten-thousand's and thousand's digit, can be 10 different numbers each, zero - nine. Thus,   9∗10∗10∗1∗1∗1=9009∗10∗10∗1∗1∗1=900 Answer 900
Answer: D
if r is radius of a circle and perimeter of circle is 12π.calculate r+2r-(r/2).	Choose the correct choice from the following choices
A) 15	B) 10	C) 12	D) 6	E) 18

Solution: perimeter of circle=2πr.   2πr=12π,r=6   r+2r-(r/2)   6+2*6-(6/2)   6+2*6-3   6+12-3   18-3= 
18-3 = 15
15   answer 15
Answer: A
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?  Choices
A) 150	B) 882	C) 277	D) 288	E) 271

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   150nswer: 150
Answer: A