MU-NLPC/Calc-aqua_rat huggingface dataset:
In a lottery there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? Pick one.
A) 1/5
B) 2/7
C) 2/5
D) 1/7
E) 3/5

Solution: total draws = prizes+blanks= 10+25= 
10+25 = 35
35   probability of getting a prize= 10/35 = 2/7   correct option is 2/7
Answer: B
Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points?
Pick one.
A) 23  B) 24  C) 25  D) 26  E) 27

Solution: Solution:   25 Fruits   Remember we told you that Birbal is a witty trader. So his sole motive is to get rid of the sacks as fast as he can.   For the first sack:   He must be able to fill fruits from one sack to other two sacks. Assume that he is able to do that after M check points. Now to find M,   (Space in first sack) M + (Space in second sack) M = (Remaining fruits in Third Sack) 30 – M   M = 10   Thus after 10 checkpoints, Birbal will be left with only 2 sacks containing 30 fruits each.   Now he must get rid of the second sack.   For that, he must fill the fruits from second sack to the first sack. Assume that he manages to do that after N checkpoints.   (Space in First Sack) N = (Remaining fruits in second sack) 30 – N   N = 15   Thus after he has crossed 25 checkpoints, he will be left be one sack with 30 fruits in it. He has to pass five more checkpoints where he will have to give five fruits and he will be left with twenty five fruits once he has crossed all thirty check points.   Answer 25
Answer: C
In a basketball game, Tim scored 20 points more than Joe, but only half as many points as Ken. If the three players scored a combined total of 100 points, how many points did Tim score?	Choose the correct choice from the following
A) 15  B) 20  C) 25  D) 30  E) 45

Solution: Let Joe scored point = x   Then Tim Scored = x+20   Ken Scored = 2*(x+20) = 2x+40   As given, x+x+20+2x+40 = 100 points   4x+60 = 100   x = 100-60/4 = 10   So Tim Scored = x +20 i.e) 10+20 = 30   Answer : 30
Answer: D
If xy+z = x(y+2z), which of the following must be true?
Choose the correct choice from the following answers.
A) 1. x=0 and z=0 B) 2. x=1 and y=1 C) 3. y=1 and z=0 D) 4. x=1 or y=0 E) 5. x=1/2 or z=0

Solution: xy+z=x(y+2z)   xy+z=xy+2= 
+2 = 2
2xz   it means x=1/2 or z=0   Answer 5. x=1/2 or z=0
Answer: E
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction q of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution? Select the correct option.
A) 11/14
B) 13/18
C) 4/7
D) 3/7
E) 3/14

Solution: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.   2/9 of the votes on a certain resolution have been counted--> 4 counted and  18-4= 
 18-4 = 14
14 votes left to be counted;   3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;   Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of   18*2/3= 
  18*2/3 = 12
12 people who voted against, so in the remaining 14 votes there should be   12-1= 
  12-1 = 11
11 people who voted against. Thus q=11/14 of the remaining votes must be against.   11/14nswer: 11/14.
Answer: A
A train 550 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choose the correct choice from the following.
A) 5
B) 6
C) 7
D) 8
E) 30

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 550 * 3/55= 
550 * 3/55 = 30
30 sec.   Answer: Option 30
Answer: E
George does 3/5th of a piece of work in 9 days.He then calls in Paul and they finish the work in 4 days.How long would Paul take to do the work by himself?
Choose the correct option:
A) 10
B) 20
C) 30
D) 40
E) 50

Solution: 9day 3/5   1 day 1/15   remaing 1-3/5=2/5   both can do 2/5 work in 4 day   one day work of both=1/10   therfor paul would take 1/10-1/15=1/30 or 30 days   ANSWER:30
Answer: C
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:  Answers:
A) 9
B) 11
C) 13
D) 15
E) 19

Solution: Let the three integers be x, x + 2 and x + 4.   Then, 3x = 2(x + 4) + 3 x = 11.   Third integer = x + 4 = 15.   Answer: 15
Answer: D
Find the 5th and 7th term of the series 1, 4, 7, 10,...? And their ratio is? Select:  A) 11/13  B) 17/13  C) 19/13  D) 21/13  E) 17/15

Solution: common difference = d = 4 - 1= 
4 - 1 = 3
3 ,, n= 5, a = first term = 1-----   By using arithmetic progression , t5 = a + (n-1)*d = 1 + (5-1)*3 = 1+12= 
1+12 = 13
13   Also 7th term , t7= a + (n-1)*d = 1 + (7-1) * 3= 
1 + (7-1) * 3 = 19
19   Ratio= t7/t5 = 19/13 = ..... Ans - 19/13
Answer: C
A sum is divided among P, Q and R in such a way that for each rupee P gets, Q gets 25 paisa and R gets 15 paisa. If the share of P is RS. 70, what is the total amount? Pick.
A) 48	B) 84	C) 74	D) 47	E) 64

Solution: p:q:r = 100:25:15   20:5:3   20 --- 70   28 --- ? => 84   Answer:84
Answer: B
The maximum number of student amoung them 1020 pens and 860 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Select the correct option:
A) 20  B) 40  C) 60  D) 80  E) None of these

Solution: Solution   Required number of student = H.C.F of 1020 and 860 = 20. 20nswer 20
Answer: A
Angela has 15 pairs of matched socks. If she loses 5 individual socks, which of the following is NOT a possible number of matched pairs she has left? Choose the correct choice from the following:  A) 8  B) 9  C) 13  D) 11  E) 12

Solution: I think if Angela loses 5 individual socks,then she is bound to have lost minimum of 2 pairs and 1 individual sock,in this way she is left with only 12 pairs of socks (15-(2+1)).   Hence,13 cannot be the answer as maximum is 12.   Hence, option (13)
Answer: C
The sum of a number and the two numbers preceding it is equal to 30. Find the number:  Select the correct option:
A) 10  B) 11  C) 9  D) 8  E) 7

Solution: Number is 9, AS  9 +10+11= 
 9 +10+11 = 30
30   Answer: 9
Answer: C
Shop Offered 20% offer for every Shirt, Smith bought a shirt at Rs. 780. and What was the shop's original selling Price?
Select the correct option:  A) 500  B) 550  C) 600  D) 700  E) 975

Solution: SP* (80/100) = 780   SP= 9.75 * 100 => CP = 975   Answer:975
Answer: E
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?  Choices
A) 60 miles / hour B) 50 miles / hour C) 80 miles / hour D) 90 miles / hour E) 40 miles / hour

Solution: We first convert the time of 4 hours 41 minutes in minutes   4 hours 41 minutes = 4 ? 60 + 41 = 281 minutes   Average speed S is given by distance / time. Hence   S = 281 miles / 281 minutes = 1 mile / minute   = 60 miles / hour   correct answer 60 miles / hour
Answer: A
Three numbers are in the ratio 1.5:2:3.5 and their H.C.F is 18. The numbers are:  Pick:
A) 22,36, 63	B) 27,45, 63	C) 27,54, 63	D) 54, 45, 36	E) 27,36, 63

Solution: Let the required numbers be 1.5x, 2x and 3.5x. Then, their H.C.F = x. So, x = 18.   The numbers are 27,36, 63.   ANSW27,36, 63R:27,36, 63
Answer: E
An inspector rejects 15% of the meters as defective. How many will he examine to reject 10?
Choose the correct choice from the following choices.
A) A)100  B) B)66.7  C) C)250  D) D)200  E) E)160

Solution: Then, 10% of x= 15   (15/100)x = 10   x = (10*100*)/15= 66.7   Answer is 66.7
Answer: B
If the price of a certain computer increased 30 percent from y dollars to 351 dollars, then 2y =	Choose the correct answer:
A) 540
B) 570
C) 619
D) 649
E) 700

Solution: Before Price increase Price = y   After 30% Price increase Price = y+(30/100)*y= 1.3y = 351 (Given)   i.e. y= 351/1.3= 
351/1.3 = 270
$270   i.e. 2y= 2*270= 
2*270 = 540
540   540nswer: option 540
Answer: A
Cars P and Q are approaching each other on the same highway. Car P is moving at 48 mph northbound and Car Q is moving at 52 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Choose the correct choice from the following options:
A) 3:30 pm	B) 3:45 pm	C) 4:00 pm	D) 4:15 pm	E) 4:30 pm

Solution: Total distance, which should be covered by both cars is   190+35= 
  190+35 = 225
225 miles.   Let t be the time so the equation will be 48t+52t=225 thus,   t=2.25 hours   Answer: 4:15 pm
Answer: D
Aarti can do a piece of work in 3 days. In how many days will she complete four time of work of same type? Pick:
A) 12 days  B) 18 days  C) 21 days  D) 3 days  E) 13 days

Solution: We have the important relation, More work, More time (days)   A piece of work can be done in 3 days.   Four times of work of same type can be done in 3 x 4   = 12 days   12 daysnswer 12 days
Answer: A
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?  Choose the correct choice from the following answers:
A) 27
B) 22
C) 25
D) 37
E) 29

Solution: 16x + 85 = 17(x + 3)   x = 34 + 3= 
34 + 3 = 37
37   Answer:37
Answer: D
One day Eesha started 30 min late from home and reached her office 50 min late while driving 25% slower than her usual speed. How much time in min does eesha usually take to reach her office from home? Choose one:	A) 22	B) 60	C) 88	D) 26	E) 18

Solution: We know that Speed is inversely proportional to time   While she drives 25% slower means she drove at 3434(S)   We know that D = S x T   When speed became 3434(S) then Time taken should be 4343(T)   i.e, She has taken 4343(T) - T extra to cover the distance.   Extra Time = T3T3 = 20 min (as 20 min late due to slow driving)   Actual time T = 60 Minutes   Answer:60
Answer: B
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?  Choose the most appropriate option:
A) 635.5 B) 613.5 C) 975.5 D) 653.5 E) 670.3

Solution: 4000   200 ---- I   200   10 ---- II   ---------------   4410   2210   --------   2000   110 ---- III   110   5.50 ---- IV   -----------   2425.50   2210   -----------   4635.50   4000   ----------   635.50   635.5NSWER 635.5
Answer: A
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 48 white marbles. How many red marbles could be in bag A? Options.
A) 1	B) 3	C) 4	D) 10	E) 12

Solution: 6 is the answer.   Bag A-   R:W:B = 2:6:9   Let W in bag A be 6K   Bab B -   R:W = 1:4   Let W in bag B be 4P   W = 48 = 6K+4P   => K =6, P=3   Total Red's in bag A will be 2K = 12   12
Answer: E
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 75% of the required amount. What is the net difference in the expenditure on that product?
Select the correct option.
A) A)12.5%  B) B)13%  C) C)13.15%  D) D)14%  E) E)93.75%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.75 x 1.25 = 0.9375   Decrease in price = ( 0.125/1) × 100 =12.5%   12.5%)
Answer: A
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 60 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 60 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x ?	Choose the correct choice:	A) 400	B) 4,300	C) 3,700	D) 4,400	E) 4,760

Solution: Total number of plots,be T   Plots with 60ft is (1/9)th of total plots.   Plots with 100ft frontage = (8/9) X total number of plots   i.e 8/9 X T = 40 T = 45   Total lake frontage = 40X100 + 5X60 = 4300   Answer : 4,300
Answer: B
The number 7490xy is divisible by 90. Find out (x+y).  Choose the correct option:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: 10×9=90 where 10 and 9 are co-prime numbers. Hence, if   7490xy is divisible by 9 and 10, it will also be divisible by 90   7490xy is divisible by 10. We know that a number is divisible by 10 if the last digit is 0.   Hence   Thus we have the number   7490x0. If this is divisible by 9,   7+4+9+0+x+0 is divisible by 9   20+x is divisible by 9 (where   x   x is a digit)   x=7   Hence,   (x+y)=(7+0)= 
(7+0) = 7
7   Answer : 7
Answer: D
A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?	Select:
A) 39 B) 40 C) 37 D) 35 E) 45

Solution: H37F of 1189, 1073 = 29   1073/29= 
1073/29 = 37
37   ANSWER:37
Answer: C
Ross has 160 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Pick one
A) 24 ; 40.	B) 23 ; 40.	C) 22 ; 40.	D) 21 ; 40.	E) 20 ; 40.

Solution: Total shirts = 160   Green shirts = 3/4*160= 
3/4*160 = 120
120, Non green shirts= 40   Shirts without button = 1/10*160= 
1/10*160 = 16
16, shirts with button= 144   Required: Range of shirts with buttons that are not green.   Maximum non green shirts with buttons = number of non green shirts = 40   Minimum non green shirts with buttons (24 ; 40.ll without button shirts are non green) = Non green shirts - shirts without button = 40 - 16= 
40 - 16 = 24
24   Hence the range would be (24, 40)   Correct Option: 24 ; 40.
Answer: A
What is the sum of the numbers between 1 and 5, inclusive?	Choose the correct choice from the following:
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Sol. add numbers between 1 and 5.   Answer = 15, 15.
Answer: C
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 3x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?  Answers.
A) 3 minutes	B) 4 minutes	C) 4.2 minutes	D) 6 minutes	E) 12 minutes

Solution: Rate = Work / Time   Given Rate of Machine A = X / 10 min   Machine B Produces 3x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .   Rate of Machine B = 6x / 10   we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates   let's first find the combined Rate of Machine A and B   Rate of Machine A = X / 10 min + Rate of Machine B = 6x / 10 = 7X/10   Now combine Time = combine work needs to be done / 4.2 minutesombine Rate = 3x/7x * 10 = 4.2 Min   Ans: 4.2 minutes
Answer: C
if the ratio of age of x and y is 5:7.and the sum of the ages are 48.calculate the age of X.  Select.
A) 20	B) 25	C) 30	D) 28	E) 26

Solution: 5x+7x=48   12x=48,x=4.   age of X=5x=20.   answer 20
Answer: A
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choose the correct answer
A) 2
B) 5
C) 6
D) 7
E) 1

Solution: C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.   S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.   Gain ={\color{5lack} \left ( \frac{80}{1600} \times 100\right ) }% = 5%   Answer: 5
Answer: B
Someone on a skateboard is traveling 10 miles per hour. How many feet does she travel in 20 seconds? (1 mile = 5280 feet) Choose the correct choice:
A) 292 ft B) 293.4 ft C) 295 ft D) 296 ft E) 297 ft

Solution: per second => 10*5280 ft/60*60 =14.67 ft   20 seconds => 14.67 * 20= 
14.67 * 20 = 293.4
293.4 ft   Answer : 293.4 ft
Answer: B
The present ages of three persons in proportions 2 : 4 : 6. Eight years ago, the sum of their ages was 36. Find their present ages (in years).	Select
A) 10, 20, 30  B) 16, 28, 36  C) 20, 35, 45  D) 18, 24, 32  E) None of these

Solution: Explanation:   Let their present ages be 2x, 4x and 6x years respectively.   Then, (2x - 8) + (4x - 8) + (6x - 8) = 36   12x = 60   x = 5   Their present ages are 2x = 10 years, 4x = 20 years and 6x = 30 years respectively.   10, 20, 30nswer: 10, 20, 30
Answer: A
From 2000 onwards, till 2003 the price of computers increased every year by 10%. After that due to government subsidy the price of computers decreases every year by 10%. The price of a computer in 2006 will be approx. how much per cent less than the price in 2000 if the same pattern of price is continued :  Choose the correct answer.
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Solution:   Year	Value   2000	100 (Let)   2001	110   2002	121   2003	133.1   2004	119.79   2005	107.811   2006	97.0299   Now,   [(100-97.0299)*100]/100 ≈ 3   Answer: Option 3
Answer: B
x, y, and z are all unique numbers. If x is chosen randomly from the set {8, 9, 10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not? Choose the correct choice from the following choices:
A) 1/16  B) 3/11  C) 13/20  D) 3/10  E) 1/10

Solution: P(x is prime) = 1/4   P(y is prime) = 1/4   If y is prime, then z is not prime since y and z are unique.   Then the probability is 1/4*1/4 = 1/16   The answer is 1/16.
Answer: A
In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?  Choose the correct choice:
A) 1 hrs
B) 8 hrs
C) 2 hrs
D) 6 hrs
E) 9 hrs

Solution: Ratio of speeds = 3:4   Ratio of times taken = 4:3   Suppose A takes 4x hrs and B takes 3x hrs to reach the destination.   Then, 4x - 3x = 30/60 => x = 1/2   Time taken by A = 4x hrs = 4 * 1/2= 
4 * 1/2 = 2
2 hrs.   Answer:2 hrs
Answer: C
The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 120, find the other? Pick one:
A) 100
B) 60
C) 120
D) 200
E) 150

Solution: Other number = 12*600/120= 
12*600/120 = 60
60   Answer is 60
Answer: B
Two brother X and Y appeared for an exam. The probability of selection of X is 1/3 and that of B is 2/5. Find the probability that both of them are selected. Choose the correct choice from the following answers
A) 2/69 B) 2/15 C) 2/63 D) 2/29 E) 2/10

Solution: Explanation:   Let A be the event that X is selected and B is the event that Y is selected.   P(A) = 1/3, P(B) = 2/5.   Let C be the event that both are selected.   P(C) = P(A) Ã— P(2/15) as A and 2/15 are independent events:   = (1/3) Ã— (2/5) = 2/15   Answer: 2/15) 2/15
Answer: B
Nandesh sold half of his cloth at 10% profit, half of the remaining at 10% loss and the rest was sold at the cost price. In the transaction, his gain or loss will be :
Choose the correct answer:
A) 2.5% gain	B) 5% gain	C) 2.5% loss	D) 5% loss	E) None of these

Solution: Explanation :   Solution: Let C.P. of whole be Rs. X. C.P. of 1/2 stock = Rs. x/2, C.P. of 1/4 stock = Rs. x/4.   Total S.P. = Rs.[(110% of x/2)+(90% of x/4)+x/4] = Rs. (11x/20 + 9x/40 + x/4)   = Rs. 41x/40.   Gain = Rs. (41x/40 - x) = Rs. x/40.   .'. Gain% = (x/40 * 1/x * 100)% = 2.5%   2.5% gainnswer : 2.5% gain
Answer: A
A person buys an article at Rs.575. At what price should he sell the article so as to make a profit of 15%?  Pick one:
A) 600  B) 277  C) 269  D) 661.25  E) 281

Solution: Cost price = Rs.575   profit = 15% of 575= Rs.86.25   Selling price = Cost price + Profit   = 575 + 86.25= 
575 + 86.25 = 661.25
661.25   Answer: 661.25
Answer: D
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.75 less, he could have gained 25%. What is the cost price?	Choices
A) 379  B) 375  C) 268  D) 269  E) 297

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   75 ----- ?=> 375   Answer:375
Answer: B
How many halves are there in seven-fourth?	Options:
A) 8	B) 12	C) 3.5	D) 7	E) 3.2

Solution: divide 7/4 by 1/2   =7/4÷1/2   =7/4*2/1   =14/4   =3.5.   Answer is 3.5.
Answer: C
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
Choose the correct option:
A) Rs.3600
B) Rs.3603
C) Rs.3639
D) Rs.3632
E) Rs.3602

Solution: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.   Income, 5x = 18000 => x = 3600   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs.3600.   Rs.3600nswer:Rs.3600
Answer: A
If w and t are integers and w^2 – t^2 is an odd integer, which of the following must be an even integer?
I. w + t + 2
II. w^2 + 2wt + t^2
III. w^2 + t^2	Select the correct option
A) None B) I only C) II only D) III only E) I, II, and III

Solution: w^2–t^2 is an odd integer means that either w is even and t is odd or w is odd and t is even.   Check all options:   I. w + t + 2 --> even+odd+even=odd or odd+even+even=odd. Discard;   II. w^2 + 2wt + t^2 --> even+even+odd=odd or odd+even+even=odd. Discard;   III. w^2 + t^2 --> even+odd=odd or odd+even=odd. Discard.   Nonenswer: None.
Answer: A
There are w members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of w?	Pick:
A) 11
B) 12
C) 15
D) 18
E) 22

Solution: Combinations of two persons, in which Michael was not selected = 55   number of ways two persons can be selected from m people = m*(m-1)/2   Let m be the number of people excluding Michael, then m*(m-1) = 110 => m=11   Thus, w = m + 1(Michael) = 12   option 12
Answer: B
In a class ratio of boys and girls is 16:25. If number of total student is 82. Find the number of girls?
Options
A) 36
B) 40
C) 50
D) 38
E) 45

Solution: Let number of girls and boys is 25x and 16x   16x+25x = 82   41x = 82   x = 2   Number of girls = 25*2= 
25*2 = 50
50   Answer : 50
Answer: C
A can do a piece of work in 10 days and B alone can do it in 20 days. How much time will both take to finish the work ?  Choose the correct choice.
A) A)5.333 B) B)6 C) C)6.666 D) D)8.333 E) E)9

Solution: This question can be solved by different methods. We need to conserve time in exams so solving this problem using equations is the good idea.   Time taken to finish the job = XY / (X + Y)   = 10 x 20 / (10 + 20)   = 200 / 30   = 6.666 days   Answer: 6.666
Answer: C
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 35 percent ryegrass, what percent of the weight of this mixture is X ?
Choose the most appropriate option:
A) 10%
B) 33.33 %
C) 40%
D) 50%
E) 66.66 %

Solution: ---------------->Ryegrass   X-------------->	40%   Y-------------->	25%   M(mixture)---->35%   0.4X + (M-X)0.25 = 0.35M   0.15X = 0.10M   X = 0.6666M   X = 66.66% of M   66.66 %
Answer: E
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 20, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)	Answers
A) 36 B) 47 C) 58 D) 65 E) 91

Solution: Since one inch is approximately 2.54 centimeters, then N centimeters is N/2.54 inches.   Next, since the American size (P inches) is twice the Italian size (N/2.54 inches), then P=2*N/2.54.   As given that N = P + 10, then N=2*N/2.54+20 --> N=~91.   Answer: 91.
Answer: E