MU-NLPC/Calc-aqua_rat huggingface dataset:
Car Z travels 45 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. How many miles does car Z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?	Choose one
A) 320 B) 360 C) 400 D) 408.3 E) 440

Solution: The question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour. We therefore first calculate the fuel efficiency at that speed.   The stem tells us that at 45 miles/hour, the car will run 45 miles/gallon and at 60 miles/hour, that distance decreases by 20%. We can therefore conclude that the car will travel 36 miles/gallon at a constant speed of 60 miles/gallon. With 10 gallons of fuel, the car can therefore travel 36 miles/gallon * 10 gallons = 360 miles.   Answer 360.
Answer: B
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 180meters, after what time will they meet at the starting point? Choose the correct choice from the following choices:
A) 20sec  B) 12sec  C) 30sec  D) 50sec  E) 1min

Solution: They meet every 180/7+8 = 12sec   Answer is 12sec
Answer: B
5 skilled workers can build a wall in 20days; 8
semi-skilled workers can build a wall in 25 days; 10
unskilled workers can build a wall in 30days. If a te
am has 2 skilled, 6 semi-skilled and 5 unskilled
workers, how long will it take to build the wall? Choose the correct choice from the following options
A) 15days  B) 16days  C) 14days  D) 18days  E) 17days

Solution: For Skilled   5 workers --------20 days   5 workers 1 day work= 1/20   1 worker's 1 day work= 1/(5*20)   Similarly,   For Semi-Skilled------   1 worker's 1 day work= 1/(8*25)   For Unskilled------   1 worker's 1 day work= 1/(10*30)   For 2 skilled,6 semi-skilled and 5 unskilled   workers   One day work= 2*[1/(5*20)] +6*[1/(8*25)] + 5*[ 1/(10*30)] = 1/15   Therefore no. of days taken= 15   15daysNSWER:15days
Answer: A
Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head? Choose the correct choice.
A) 2^19 B) 2^10 C) 3 * 2^8 D) 3 * 2^9 E) 3 * 2^10

Solution: Fix the third coin as H. The remaining 19 coins have 2^19 outcomes.   2^19
Answer: A
The manufacturing cost of a shoe is Rs.180 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains Choose the correct choice from the following options
A) Rs 222 B) Rs 216 C) Rs 220 D) Rs 210 E) Rs 217

Solution: Explanation :   Total cost of a watch = 180 + (500/100)= 
180 + (500/100) = 185
185.   Gain= 20% => SP = 1.2CP = 1.2 X 185 = 222   Rs 222nswer : Rs 222
Answer: A
Shopkeeper rise price by 33% and gives successive discount of 10% and 15%. What is overall % gain or loss? Pick
A) 1.745%	B) 4.745%	C) 3.745%	D) 6.745%	E) 7.745%

Solution: Let d initial price be 100   33 % rise   now price = 133/100*100= 
133/100*100 = 133
133   10% discount   Then price= 133 * 90/100= 
133 * 90/100 = 1_197/10 = around 119.7
119.7   15 % discount   Then price= 119.7 * 85/100= 
119.7 * 85/100 = 101.745
101.745   So Gain= 101.745 - 100= 
101.745 - 100 = 1.745
1.745   Gain %= Gain * 100 /CP   ==> 1.745 * 100 /100= 
1.745 * 100 /100 = 1.745
1.745%   1.745%NSWER:1.745%
Answer: A
A relay race covers 1 1/2 miles,and each runner on a team will run 1/4 of a mile. How many runners are needed for a team?  Choose the correct choice from the following answers:
A) 9
B) 6
C) 3
D) 10
E) 4

Solution: Number of runners=total distance/distance each runner runs   =1 1/2 ÷ 1/4   =3/2 ÷ 1/4 = 3/2*4/1   =12/2= 
12/2 = 6
6.   Answer is 6.
Answer: B
Today Jennifer, who is 30 years old, and her daughter, who is 6 years old, celebrate their birthdays. How many years will pass before Jennifer’s age is twice her daughter’s age?
Choose the correct answer
A) 18	B) 20	C) 22	D) 24	E) 25

Solution: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.   After x years passes Jennifer’s age will be (30+x) years old, and her daughter’s age will be (6+x) years old. Since the Jennifer’s age is twice her daughter’s age (30+x)= 2 * (6+x) ---> 30+x=12+2x ---> x= 18.   The answer is (18).
Answer: A
A 3-digit positive integer consists of non zero digits. If exactly two of the digits are the same, how many such integers are possible?  Pick: A) 72 B) 144 C) 216 D) 283 E) 300

Solution: here is the answer in pure probability terms.   let the 3 digit number be XYZ   now none of them contain zero --> they can vary from 1 - 9   so lets take the value of X, X can be from 1 - 9, hence X can be selected in 9 ways   since Y =X, after selecting X you can select Y in 1 way only   Z can be an selected from 1 -9 (minus 1 because it cannot be the same as X) in exactly 8 ways   hence total number of ways of selecting the number is   9 * 8= 
  9 * 8 = 72
72.   BUT we are asked for all possible numbers that can be formed.   So XYZ ( or XXZ in this case) can be moved around in 3 ways   XXZ   XZX   ZXX   hence the total number of numbers is 72 *3= 
72 *3 = 216
216   ANSWER:216
Answer: C
There were 35 students in a hostel. Due to the admission of 7 new students, ;he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. Wbat was the original expenditure of the mess?	Choose the correct option: A) 320 B) 120 C) 400 D) 420 E) 514

Solution: Sol. Let the original average expenditure be Rs. x. Then,   42 (x - 1) - 35x=42	ïƒ³	7x= 84	ïƒ³	x =12.   Original expenditure = Rs. (35 x 12) =Rs. 420. .   ANSWER 420
Answer: D
How many odd numbers are possible between 1 to 10000000? find out the number of odd number of digits?  Pick.
A) 2999	B) 3500	C) 4000	D) 4599	E) 4999999

Solution: There are always one odd and one even no. And the question is odd no. Between 1 to 10000000   So we have to find no. Between 1 to 10000 so we should not includes 1   10000000/2 -1= 
10000000/2 -1 = 4_999_999
4999999   ANSW4999999R:4999999
Answer: E
A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3.5t seconds, then what is the length of the platform? Choose the correct choice from the following answers:  A) 0.5L  B) 1.5L  C) 2.5L  D) 3.5L  E) 4.5L

Solution: The train passes a pole in t seconds, so velocity v = L/t   (L+P)/v = 3.5t   (L+P) / (L/t) = 3.5t   P = 2.5L   The answer is 2.5L.
Answer: C
In how many days does B alone complete the work
1. B and C together can complete the work in 8 days
2. A and B together can complete the work in 12 days Choose the correct choice from the following answers:
A) Statement 1 alone is sufficient B) Statement 2 alone is sufficient C) Statement 1 and 2are sufficient D) Statement 1 and 2are not sufficient E) None of these

Solution: Explanation:   We cannot find the work done by B.   If C+A work is given we can find it by   B’s work = (A+B+C) work - (A+C) work   Answer: Option Statement 1 and 2are not sufficient
Answer: D
A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,580. By how much was the project over its budget?  Choose the correct choice from the following answers.
A) $380 B) $540 C) $1,050 D) $1,380 E) $1,430

Solution: $1,380ifficulty level: 600   Each month's budget = 12600/12= 
12600/12 = 1_050
1050   Budget for 4 months= 4*1050= 
4*1050 = 4_200
4200   Actual amount spent= 5580   Amount spent over the budget = 5580 - 4200= 
5580 - 4200 = 1_380
1380   Answer ($1,380),   Regards,
Answer: D
A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class? Choose the correct choice from the following answers
A) 20  B) 30  C) 10  D) 40  E) 50

Solution: Let the total number of students = x   The average marks increased by 1/2 due to an increase of   83 - 63= 
  83 - 63 = 20
20 marks.   But total increase in the marks= (1/2)x=x/2   Hence we can write as   x/2=20   ⇒x=20×2=40   Answer is 40.
Answer: D
The length of a rectangle is halved, while its breadth is tripled. Wat isthe % change in area? Select the correct option.
A) 20%
B) 40%
C) 50%
D) 60%
E) 70%

Solution: Let original length = x and original breadth = y.   Original area = xy.   New length = x .   2   New breadth = 3y.   New area = x x 3y = 3 xy.   2 2   Increase % = 1 xy x 1 x 100 % = 50%.   2 xy   50%
Answer: C
In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 10 percent of revenues. The profits in 1999 were what percent of the profits in 1998? Choose the correct choice from the following answers:
A) 80%
B) 105%
C) 120%
D) 124.2%
E) 138%

Solution: 0,08R = x/100*0.1R   80%nswer 80%
Answer: A
If x and y are positive integers, and 3x^2=3y, then which of the following must be a multiple of 9?
I. x^2
II. y^2
III. xy  Choose the correct choice from the following:	A) I only	B) II only	C) III only	D) I and II only	E) I, II and III

Solution: 4x^2 = 3y   since x,y are positive integers, x^2 = x*x is divisible by 3 -> x is divisible by 3 and y is divisible by x^2   -> x^2 and y is divisible by 9 -> y^2 is divisible by 9   (1),(2), and (3) must be true   I onlynswer is I only
Answer: A
Find the unit's digit in (264)^102 + (264)^103	Choose the correct option.
A) 4	B) 1	C) 5	D) 0	E) 2

Solution: Required unit's digit = unit's digit in (4)^102 + (4)^103.   Now, 4^2 gives unit digit 6.   Therefore, (4)^102 gives unit digit 6.   Therefore, (4)^103 gives unit digit of the product (6 x 4) i.e., 4.   Hence, unit's digit in (264)m + (264)103 = unit's digit in (6 + 4) = 0.   Answer is 0.
Answer: D
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?	Choose the correct choice from the following options:  A) 7  B) 2  C) 8  D) 6  E) 3

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   Answer:8
Answer: C
For which of the following does g(a)−g(b)=g(a−b) for all values of a and b? Choose the correct answer.
A) g(x)=x^2 B) g(x)=x/2 C) g(x)=x+5 D) g(x)=2x−1 E) g(x)=|x|

Solution: To solve this easiest way is just put the value and see that if it equals or not.   with option 1. g(a) = a^2 and g(b) = b^2   so L.H.S = a^2 - b^2   and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.   so L.H.S not equal to R.H.S   with option 2. g(a) = a/2 and g(b) = b/2   L.H.S = a/2 - b/2 ==> 1/2(a-b)   R.H.S = (a-b)/2   so L.H.S = R.H.S which is the correct answer.   answer:g(x)=x/2
Answer: B
Find the simple interest on Rs.500 for 9 months at 6 paisa per month? Choose the correct choice from the following answers
A) Rs.345
B) Rs.270
C) Rs.275
D) Rs.324
E) Rs.300

Solution: Explanation:   I = (500*9*6)/100= 
(500*9*6)/100 = 270
270   Answer IS Rs.270
Answer: B
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Pick:	A) 18 2/17	B) 18 2/11	C) 18 2/15	D) 18 2/19	E) 18 2/12

Solution: 13 CP = 11 SP   11 --- 2 CP   100 --- ?   =>18 2/11%   Answer:18 2/11
Answer: B
3+33+333+3.33=?  Choose the correct choice:
A) 362.33
B) 372.33
C) 702.33
D) 702
E) None of them

Solution: 3   33   333   3.33   ----------   372.33   ----------   Answer is 372.33
Answer: B
How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?  Choose the correct answer
A) 38  B) 56  C) 22  D) 088  E) 11

Solution: Explanation:   Simple interest is given by the formula SI = (pnr/100), where p is the principal, n is the numberof years for which it is invested, r is the rate of interest per annum   In this case, Rs. 1250 has become Rs.10,000.   Therefore, the interest earned = 10,000 – 1250 = 8750.   8750 = [(1250 x n x 12.5)/100]   => n = 700 / 12.5= 
700 / 12.5 = 56
56 years.   Answer: 56) 56years
Answer: B
If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (3 Ø 1) Ø 2 = ?  Select:
A) 2
B) 4
C) 8
D) 16
E) 32

Solution: 3 Ø 1 = 2^3/2^1 = 4   4 Ø 2 = 2^4/2^2 = 4   The answer is 4.
Answer: B
The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 52. What is the cost price of the article? Choose the correct choice from the following options.
A) Rs. 40  B) Rs. 50  C) Rs. 49  D) Rs. 59  E) None of these

Solution: S.P 1- C.P = C.P – S.P 2   66 - C.P = C.P - 52   2 C.P = 66 + 52;   C.P = 118/2= 
118/2 = 59
59   ANSWER:Rs. 59
Answer: D
If 13 = 13w/(1-w) ,then (2w)2 =
Choose the correct option:
A) 1/4  B) 1/2  C) 1  D) 2  E) 3

Solution: 13-13w=13w   26w=13   w=1/2   2w=1   2w*2=1*2= 
1*2 = 2
2   ANSWER:2
Answer: D
If a*b*c=130, b*c*d = 65, c*d*e=750 and d*e*f=250 the (a*f)/(c*d) = ? Choose the correct choice from the following options: A) 1/2 B) 2/3 C) 3/4 D) 4/3 E) None of these

Solution: Explanation :   aâˆ—bâˆ—c/bâˆ—câˆ—d= 130/65 => a/d = 2   dâˆ—eâˆ—f/câˆ—dâˆ—e= 250/750 => f/c = 1/3   a/d* f/c = 2 * 1/3 = 2/3   Answer : 2/3
Answer: B
A can do a piece of work in 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each.how long will they take it to do working together
8 2/5 hours a day? Choose the correct choice from the following options
A) 3 days  B) 4 days  C) 5 days  D) 6 days  E) 7 days

Solution: A's work per hour=1/63   B's work per hour=1/42   A & B's work per hour together=(1/63)+(1/42)=5/126   so a & B together complete the work in 126/5 hours...   if they work 8 2/5=42/5 hours a day,   it will take (126/5)/(42/5) days=(126/5)*(5/42)= 
(126/5)*(5/42) = 3
3 days...   3 daysNSWER:3 days
Answer: A
Find value of x from given equation 2x + 1 = -17  Select the correct option:  A) -8  B) -9  C) -7  D) 7  E) 6

Solution: 1. Subtract 1 from both sides:   2x + 1 - 1 = -17 - 1   2. Simplify both sides:   2x = -18   3. Divide both sides by 2:   4. Simplify both sides:   x = -9   -9
Answer: B
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 1701 what is the least possible value of k?	Choose the most appropriate option.
A) 8	B) 10	C) 12	D) 14	E) 16

Solution: 1701 = 3*3*3*3*3*7   Thus k must include numbers at least up to the number 12 so that there are at least five appearances of 3 (that is: 3, 6, 9=3*3, and 12).   The answer is 12.
Answer: C
A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 100 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?  Choose the correct option:
A) 4.2
B) 4.8
C) 5.6
D) 6.4
E) 7.2

Solution: In 2 hours, A travels 60 km.   B can catch A at a rate of 10 km/hr, so B catches A 6 hours after B starts.   So A and B both travel a distance of 240 km.   C needs 2.4 hours to travel 240 km, so C leaves 5.6 hours after A.   The answer is 5.6.
Answer: C
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?	Select.
A) 4 years B) 8 years C) 10 years D) None of these E) 15 years

Solution: Explanation:   Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x +12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20 => x = 4.   Age of youngest child = x = 4 years.   4 yearsNSWER IS 4 years
Answer: A
If X+Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?	Choose the correct choice from the following answers
A) -4.5. B) -2. C) -1.7. D) 3. E) 2.5.

Solution: Given : X+Y = 2X-2Z, --> eq 1   X-2Y = 4Z --> eq 2   X+Y+Z = 21 -->eq 3.   Now we are asked to find the value of Y/Z.   Now let choose some option randomly,   Take C , which is 3, I randomly chose this value as it is positive :)   Y/Z = 3 , this is the value we need to get.   Then Y = 3Z -- eq 4   Sub this in eq 1.   X + 3Z = 2X - 2Z   => X = 5Z -->eq 5.   Sub X and Y value in eq 3.   5Z + 3Z + Z = 21   => Z = 21/9. Now sub this value to get Y , we get Y = 21/3.   Then Y/Z = 21/3 / 21/9 = we get 3 again. So this option is correct.   Answer: option -1.7. is correct.
Answer: C
A garrison of 150 men has provisions for 31 days. At the end of 16 days, a reinforcement arrives, and it is now found that the provisions will last only for 5 days more. What is the reinforcement?  Choose the correct choice from the following answers:
A) 150 B) 450 C) 400 D) 600 E) 300

Solution: 150 ---- 31   150 ---- 15   x -----5   x*5 = 150*15   x = 450   150   -------   300   Answer: 300
Answer: E
The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability thatat least oneof the stores will not have a can of iced tea?  Choose the correct answer: A) 1/8 B) 1/4 C) 1/2 D) 3/4 E) 7/8

Solution: p=1-1/2^2(all stores have iced tea)=3/4   3/4
Answer: D
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?	Choose the correct choice from the following answers
A) 267 m	B) 256 m	C) 245 m	D) 627 m	E) 167 m

Solution: Speed   = (45 * 5/18) m/sec = (25/2) m/sec. Time   = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X)   = 750 ==> X   = 245 m.   Answer: 245 m
Answer: C
A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds? Pick one.
A) 1/4 B) 1/3 C) 1/2 D) 2/3 E) 3/4

Solution: 3 revolutions per minute = 1 revolution every 20 seconds   So no matter what anybody appearing at the tower cannot stay in the dark for more than 20 seconds. This will be our total number of possibilities i.e the denominator.   P(man in dark for at least 5 seconds) = 1 - P (man in dark for max of 5 seconds) = 1 - 5/20 = 1 - 1/4 = 3/4   or the other way would be:   P(man in dark for at least 5 seconds) is like saying he can be in dark for 5,6,7...all the way to 20 seconds because that is the max. In this approach it would be 15/20 seconds = 3/4.
Answer: E
A and B working saperately can do a piece of work in 12 and 18 hours respectively. If they work for 6 hour alternately with B beginning, in how many hours will the work be completed?  Options:
A) 9 hours B) 15 hours C) 13 ½ hours D) 12 ½ hours E) 16 hours

Solution: Explanation:   A and 15 hours 2 hours work = 1/12 + 1/18 = 5/36   work done by A and 15 hours during 6 pairs   i.e 12 hours = 6 * 5/36 = 5/6   Remaining work = 1 – 5/6 = 1/6   1/6 of work and this work done by 15 hours only = 18* 1/6= 
18* 1/6 = 3
3 hours   Hence the total time take is 15 hours   Answer: Option 15 hours
Answer: B
At the end of a business conference, ten people present shake hands with each other once. How many handshakes will be there all together?  Pick one:
A) 20
B) 45
C) 55
D) 90
E) None

Solution: Explanation : . Total no. of handshakes = (9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1)= 
(9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1) = 45
45   Answer 45
Answer: B
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is c + 2? Choose the correct choice from the following options.
A) c - 5
B) c - 3
C) c- 1
D) c
E) c + 1

Solution: Since the numbers are consecutive odd integers, mean = median = 3rd integer + 4th integer /2   And 1st integer= 3rd integer- 4   let's say 3rd integer = n and 4th integer = n+2   2n+2/2= c+2   n= c+1   1st integer= c+1-4= c-3   c - 3 is the answer
Answer: B
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 1/9; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails? Options.
A) 9/80  B) 3/10  C) 303/800  D) 97/300  E) 497/800

Solution: The first circuit doesn't matter.   Prob(relay fails) = 1 - Prob(relay succeeds)   Prob(2+3 work) = 1 - 1/30 = 29/30   Prob(4+5 work) = 1 - 3/10 = 7/10   Prob(relay fails) = 1 - Prob(2+3 work AN97/300 4+5 work) = 1 - (29/30)(7/10) = 1 - 203/300 = 97/800   97/300
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Answers
A) 65 sec
B) 89 sec
C) 100 sec
D) 150 sec
E) 250 sec

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec   ANSWER:89 sec
Answer: B
Which of the following does NOT have a divisor greater than 1 that is the square of an integer?
Choose the correct choice.
A) 28
B) 32
C) 49
D) 62
E) 25

Solution: Prime Factorization   28=2*2*7=2^2*7. Includes a perfect square of 4.   32=2*2*2*2*2=4^2*2. Includes the perfect square of 16.   49=7*7. Is a perfect square.   62=2*31. No perfect square here, so a possibility.   25= 5*5. Is a perfect square.   All but 62 have perfect squares as a factor so D is the correct answer.   28=2*2*7=2^2*7. Perfect square of 4.   32=2*2*2*2*2=4^2*2. Perfect square of 16.   49=7*7. Perfect square.   62=2*31. No perfect square.   25= 5*5. Perfect square.
Answer: D
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?  Choose the correct choice from the following:
A) 6%. B) 7.5%. C) 9.2%. D) 10.5%. E) 11%.

Solution: Denominator:   340+10+3.2+6.8= 
340+10+3.2+6.8 = 360
360   Numerator:   340(1-.88-.05)+3.2   340(0.07)+3.2   23.8+3.2   27   Ratio:   27/360=3/40   Answer: 7.5%.
Answer: B
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day? Choose the correct choice from the following answers
A) 340  B) 450  C) 600  D) 650  E) 700

Solution: Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively.   ∴ No. of books distributed in 1st day   = 7×5x+5×4x+8×2x=71x   No. of books distributed in 1Ind day   =7×5x+3×4x+5×2x=57x   And no. of books distributed in IIIrd day   =4×5x+5×4x+3×2x=46x   71x + 57x + 46x = 2000, x = 2000/174   57x=2000/174×57=650   650
Answer: D
-24*29+1240=?  Choose one.
A) -544  B) 584  C) 544  D) 345  E) None of these

Solution: => -24*(30-1)+1240;   => -(24*30)+24+1240;   => -720+1264= 
-720+1264 = 544
544.   544orrect Option: 544
Answer: C
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 most appropriate option
A) 14	B) 25	C) 63	D) 74	E) 36

Solution: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.   Ans: 63
Answer: C
What is the sum of the numbers between 1 and 12, inclusive?
Choices:
A) 99
B) 65
C) 79
D) 78
E) 80

Solution: Sol. add the numbers between 1 and 12.   answer is 78, 78.
Answer: D
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is? Pick one
A) 8 B) 9 C) 5 D) 3 E) 2

Solution: 2x * x = 128 => x   = 8   8nswer:8
Answer: A
If a(a + 2) = 99 and b(b + 2) = 99, where a ≠ b, then a + b = Select
A) -2	B) -5	C) -8	D) -10	E) -12

Solution: i.e. if a = 9 then b = -11   or if a = -11then b = 9   But in each case a+b = -11+9 = -2   -2nswer: -2
Answer: A