MU-NLPC/Calc-aqua_rat huggingface dataset:
If the terms of a series are either2or24and the sum of all the terms B of the series is 124, then which of the following could be the number of2sin the series?	Answers
A) 26	B) 29	C) 35	D) 40	E) 48

Solution: Ans: A   Solution: we are not certain how many 2 or 24 are there. but as given sum of all the terms B is 124 means  24*5= 
 24*5 = 120
120 so number of 24 can't be more than 5   so 24x +2y= 124   24*5 + 2y =124 then y=2   24*4 + 2y = 124 then y=14   24*3 +2y = 124 then y= 26   24*2 +2y =124 then y = 38   24 +2y = 124 then y= 50   26 is the ans.26
Answer: A
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.  Choose the correct choice from the following options:
A) 287 cm2  B) 190 cm2  C) 180 cm2  D) 785 cm2  E) 295 cm2

Solution: Explanation:   Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (10) = 190 cm2   Answer: Option 190 cm2
Answer: B
Sandy is younger than Molly by 16 years. If the ratio of their ages is 7:9, how old is Sandy?	Pick one: A) 42 B) 49 C) 56 D) 63 E) 70

Solution: Let Sandy's age be 7x and let Molly's age be 9x.   9x - 7x = 16   x = 8   Sandy is 56 years old.   The answer is 56.
Answer: C
If a and b are integers and (2^a)(3^b) is a factor of 600^40, what is the largest possible value of ab?  Choices
A) a	B) 5a	C) 20a	D) 40a	E) 80a

Solution: (2^a)(3^b) is a factor of 600^40   We need to find the largest possible value of ab.   We know that 600 = 2^3*5^2*3^1   Therefore 600^40 will have one powers of 3 in it.   Hence in (2^a)(3^b), b has to 1   Therefore value of ab = a   Correct Option: a
Answer: A
Jim is able to sell a hand-carved statue for $620 which was a 25% profit over his cost. How much did the statue originally cost him?  Choose the correct option:
A) $496.00  B) $512.40  C) $555.40  D) $574.90  E) $588.20

Solution: 620 = 1.25*X   X = 620/1.25= 
620/1.25 = 496
496.00   which rounds to $496.00, which is ($496.00).
Answer: A
A train has a length of 150 meters . it is passing a man who is moving at 4 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train. Choose the correct choice from the following answers:
A) 182 km/hr  B) 184 km/hr  C) 152 km/hr  D) 169 km/hr  E) 179 km/hr

Solution: Explanation:   Length of the train, l = 150m   Speed of the man , Vm= 4 km/hr   Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) × (18/5) = 180 km/hr   Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)   => 180 = Vt - 4   => Vt = 180 + 4= 
180 + 4 = 184
184 km/hr   Answer: Option 184 km/hr
Answer: B
What is the next number in the sequence : 15,21,24,30,33,39,51,57__?
Choose the correct choice from the following choices:
A) 69 B) 71 C) 67 D) 65 E) 79

Solution: next no. = previous + (sum of digits)   15 + (1+5)= 
15 + (1+5) = 21
21   21 + (2+1)= 
21 + (2+1) = 24
24   24 + (2+4)= 
24 + (2+4) = 30
30   30 + (3+0)= 
30 + (3+0) = 33
33   33 + (3+3)= 
33 + (3+3) = 39
39   39 + (3+9)= 
39 + (3+9) = 51
51   51 +(5+1)= 
51 +(5+1) = 57
57   57 + (5+7)= 
57 + (5+7) = 69
69   69NSWER:69
Answer: A
The true discount on a bill of Rs.270 is Rs.45.The banker's discount is  Choose the correct choice from the following:
A) 54
B) 55
C) 56
D) 57
E) None of these

Solution: Solution   P.W	= Rs.(270 - 45)   = Rs. 225   S.I on Rs. 270	=Rs.(45/225 x 270)   = Rs. 54.   54nswer 54
Answer: A
One hundred gallons of fuel are purchased at $0.70 per gallon. The fuel is consumed at a rate of $0.50 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel?
Pick one:
A) 100	B) 120	C) 140	D) 160	E) 180

Solution: The fuel is consumed at this rate: $0.50/$0.70 = 5/7 gallons per hour.   The time it takes to consume 100 gallons is:  100 / (5/7)= 
 100 / (5/7) = 140
140 hours.   The answer is 140.
Answer: C
If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?	Choose the correct choice from the following
A) 5/2	B) 7/2	C) 10/3	D) 15/4	E) 25/3

Solution: N = 3D/5   J = N/3 = D/5   The average of November and January is (N+J)/2 = 4D/5 / 2 = 2D/5   D is 5/2 times the average of November and January.   The answer is 5/2.
Answer: A
Gregory grossed $750 one week by working 60 hours. His manager pays him time-and-a-half for all hours worked in excess of 30 hours. What is Gregory's regular hourly wage?
Choose the correct answer:
A) 11
B) 12
C) 10
D) 20
E) 21

Solution: Denote by x the regular hourly wage.   Then 1.5x is the hourly overtime wage.   For 30 hours, Andrew received a salary of 30x.   For  60-30= 
 60-30 = 30
30 hours, he received 30(1.5x)=45x   Total salary: 30x+45x=75x which equals $750.   75x30 +45= 
30 +45 = 75
75x which equals $750.   75x=750 implies x=10 (he receives $10 per hour)   Answer 10 10.
Answer: C
If (18^a) * 9^(3a – 1)= (2^6)(3^b) and a and b are positive integers, what is the value of a?  Pick one.
A) 22 B) 11 C) 9 D) 6 E) 3

Solution: (18^a) * 9^(3a – 1)= (2^6)(3^b)   = 2^a . 9^a . 9^(3a – 1) = (2^6)(3^b)   Just compare powers of 2 from both sides   Answer = 6 = 6
Answer: D
In how many ways can 3 boys and 3 girls be seated on 8 chairs so that no two girls are together?	Choose the correct answer.
A) 5760
B) 14400
C) 480
D) 56
E) 40320

Solution: Let us take opposite of the constraint.   2 girls sitting together:	:   1 case is GGBGBBBB.   Total number of ways=3!*5!*5 with just shifting the rightmost girl.   Then the 2 leftmost girls can shift one position , and using the above reasoning, the total number of ways = 3!*5!*4 and so on till the rightmost girl has 1 position.   So total number of ways = 3!*5!(5+4+3+2+1)=120*90= 
120*90 = 10_800
10800   Similarly another case is:   GBGGBBBB.   Using the above reasoning, the total number of cases is: 3!*5!*(15)=10800   Let us take 3 girls sitting together   GGGBBBBB   There are 3! *5! Ways. The 3 leftmost girls can shift 6 positions. So there are a total of 3!*5!*6=4320 ways   So total is   2*10800 + 4320= 
  2*10800 + 4320 = 25_920
25920   The total number of possibilities= 8! Ways =40,320   Answer is 40320-25920=480   Hence 480.
Answer: C
Three candidates contested an election and received 3644 votes, 7606 votes, and 13750 votes respectively. What percentage of the total votes did the winning candidate receive?
Choose the correct answer:
A) 55%	B) 56%	C) 57%	D) 58%	E) 59%

Solution: The total number of votes polled = (3644 + 7606 + 13750)= 
(3644 + 7606 + 13750) = 25_000
25000   The winner's percentage= 13750/25000 * 100= 
13750/25000 * 100 = 55
55%   The answer is 55%.
Answer: A
A five digit number is to be formed using each of the digits 1, 2, 3, 4, 5 and 6 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?  Choose the correct choice from the following answers:	A) 48	B) 36	C) 72	D) 60	E) 480

Solution: Reqd ways = (Total No. of ways - cases when both 1 and 2 are together)   6 numbers can be arranged in 6 places in 6! ways. Now tie 1 and 2 together so effectively there are 5 nos. they can be arranged in 5! ways. 1 and 2 can be arranged within themselves in 2!ways.   Reqd. Answer = 6! - 5!2! = 720 - (120*2)= 
720 - (120*2) = 480
480   Answer: 480
Answer: E
If the range R of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x? Choose the most appropriate option.
A) 0  B) 2  C) 12  D) 13  E) 15

Solution: The range R of a set is the difference between the largest and smallest elements of a set.   Without x, the difference between the largest and smallest elements of a set is  14-3= 
 14-3 = 11
11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.   The the difference between the greatest possible value of x and least possible value of x is 15-2= 
15-2 = 13
13.   Answer: 13.
Answer: D
If 28a+30b+31c=545.
then a+b+c=?.a,b,c are natural numbers	Choose the correct answer
A) 12	B) 14	C) 8	D) 25	E) 18

Solution: have a look on your calender   since,we all knw a year consist of 365 days   february is d only month which has 28 days   4 months in a year has 30 days   and,rest 7 months has 31 days..   so,following d given eq. we can write 28*1 + 30*10 + 31*7..   hence values of a,b and c are 1, 10 and 7 respectively..   a+b+c=18   ANSW18R:18
Answer: E
If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 15
III. 25	Pick:	A) I only	B) II only	C) I and II only	D) II and III only	E) I, II, and III

Solution: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Let x be the length of the third side.   15-10 < x < 15+10   5 < x < 25   The answer is I and II only.
Answer: C
What will be the vulgar fraction of 0.5  Pick:
A) 3/5
B) 1/2
C) 3/2
D) 3/7
E) 3/8

Solution: Explanation:   0.5 = 50/100 = 1/2   Option 1/2
Answer: B
A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choose the correct answer:
A) 220	B) 490	C) 380	D) 450	E) 690

Solution: the only thing you have to do is a simple multiply   we have:   18*25= 
18*25 = 450
450   correct answer is:   450) 450
Answer: D
A hall 36m long and 15m broad is to be paved with stones, each measuring 3dm by 5 dm. The number of stones required is:  Choices: A) 3600 B) 1800 C) 18 D) 18000 E) 1.8

Solution: 3600rea of the hall= 3600*1500   3600rea of each stone= (30*50)   Therefore, number of stones= (3600*1500/ 30*50)= 3600   3600NSWER:3600
Answer: A
In a factory, an average of 65 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 60 sets/day . The average production per day for day last 5days is ?
Choose the correct option: A) 20 B) 35 C) 48 D) 50 E) 59

Solution: Production during these 5 days = Total production in a month - production in first 25 days.   = 30 x 60 - 25 x 65   = 175   ∴ Average for last 5 days = 175 / 5= 
175 / 5 = 35
35   Aswer : 35
Answer: B
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?  Choose the correct option: A) 1236 B) 1345 C) 1358 D) 1321 E) 1365

Solution: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.   =. Required number of ways = 14C10 = 14C4   = 14!/4!x19! = 1365   1365
Answer: E
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?  Choose the correct answer
A) 7:6:10  B) 12:15:16  C) 42:45:56  D) Cannot be determined  E) None of these

Solution: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)   = 12:15:16   ANSWER:12:15:16
Answer: B
A bookseller sells his books at a 20% markup in price. If he sells a book for $24.00, how much did he pay for it? Select.
A) $14.40  B) $14.00  C) $10.00  D) $9.60  E) $20.00

Solution: Let the cost price of book = x   Selling price of book = 24$   Markup % = 20   (120/100)x = 24   => x = 20   Answer $20.00
Answer: E
What is the median from the below series 90, 92, 91, 88, 95, 88, 97, 87, and 98  Choose the correct answer: A) 80 B) 85 C) 91 D) 97 E) 100

Solution: Ordering the data from least to greatest, we get:   87, 88, 88, 90, 91, 93, 95, 96, 98   The median quiz score was 91. (Four quiz scores were higher than 91 and four were lower.)   91
Answer: C
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.  Choose the correct answer
A) 6000 B) 5000 C) 3000 D) 2000 E) 1000

Solution: Let the total number of orginal inhabitants be x.   ((75/100))*(90/100)*x)=4050  (27/40)*x=4050   x=((4050*40)/27)= 
((4050*40)/27) = 6_000
6000.   6000NSWER 6000
Answer: A
100 × 10 – 100 + 2000 ÷ 100 = ? Choose one.
A) 29
B) 780
C) 920
D) 979
E) None of these

Solution: Solution   Given exp. = 100 × 10 - 100 + 20 = 1000 - 100 + 20 = 1020 - 100= 
1020 - 100 = 920
920.   Answer 920
Answer: C
There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except	Choose the correct choice
A) monday B) tuesday C) tuWesday D) wednesday E) friday

Solution: From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.   mondaynswer:monday
Answer: A
A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current. Choose the correct option.
A) 1 km/hr
B) 2 km/hr
C) 3 km/hr
D) 4 km/hr
E) None of these

Solution: Explanation:   First of all, we know that   speed of current = 1/2(speed downstream - speed upstream) [important]   So we need to calculate speed downstream and speed upstream first.   Speed = Distance / Time [important]   Speed upstream =(15/3 3/4)km/hr   =15×4/15=4km/hr   Speed Downstream = (5/2 1/2)km/hr   =5×2/5=2km/hr   So speed of current = 1/2(4−2)   =1km/hr   Option 1 km/hr
Answer: A
A train 120 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choose the correct choice from the following answers.
A) 11 s
B) 10 s
C) 8 s
D) 12 s
E) None of these

Solution: We know from the formula Time = Distance/ Speed   Thus, Time = 120/ 54 x 5/18   or, Time = 8 sec.   ANSWER:8 s
Answer: C
A candidate who gets 30% of the marks fails by 60 marks. But another candidate who gets 45% marks gets 30 marks more than necessary for passing. Find the number of marks for passing?	Select.
A) 100 Marks B) 240 Marks C) 280 Marks D) 371 Marks E) 827 Marks

Solution: 30% ------------ 60   45% ------------ 30   ----------------------   15% ------------- 90   30% -------------- 180   180 + 60= 
180 + 60 = 240
240 Marks   Answer:240 Marks
Answer: B
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3520. They completed the work in 3 days with the help of C. How much is to be paid to C?
Pick.
A) s. 380  B) s. 600  C) s. 420  D) s. 440  E) s. 480

Solution: Explanation :   Amount of work A can do in 1 day = 1/6   Amount of work B can do in 1 day = 1/8   Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24   Amount of work A + B + C can do = 1/3   Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24   work A can do in 1 day: work B can do in 1 day: work C can do in 1 day   = 1/6 : 1/8 : 1/24 = 4 : 3 : 1   Amount to be paid to C = 3520 × (1/8) = 440   Answer : Option s. 440
Answer: D
Running at the same constant rate, 6 identical machines can produce a total of 360 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Choose the correct answer:
A) 648 B) 1800 C) 2400 D) 10800 E) 10900

Solution: Let the required number of bottles be x.   More machines, More bottles (Direct Proportion)   More minutes, More bottles (Direct Proportion)   Machines	6	:	10	:: 360 : x   Time (in minutes)	1	:	4   6 x 1 x x = 10 x 4 x 360   x =	(10 x 4 x 360)/(6)   x = 2400.   ANSWER:2400
Answer: C
Farm A had an average output of 350 kgs of wheat per acre. Farm B had an average output of 300 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?  Options.
A) 130 acres  B) 135 acres  C) 145 acres  D) 160 acres  E) 180 acres

Solution: The area of Farm A = x acres;   The area of Farm B = x-15 acres.   Total output of Farm A = 350x kgs;   Total output of Farm B = 300(x-15) kgs.   Farm B in total harvested 2000 kgs of wheat more than Farm A: 350x+2000=300(x-15) --> x=130 acres.   130 acresnswer: a.
Answer: A
Which letter will come exactly between the tenth letter from your left and the seventh letter from your right.
Without changing any order in the original from the alphabet?	Pick:
A) U B) Y C) O D) Y E) R

Solution: 10th letter from your left is J   7th letter from your right is T   The mid letter between J and T is O.   Answer: Option 'O'
Answer: C
If f(x)=4x−1 and g(x)=2x+5 for all integers, which of the following is a possible value of g(f(x))? Answers:
A) -23  B) -17  C) 0  D) 8  E) 19

Solution: g(f(x)) = 2*f(x)+5 = 2*(4x-1)+5 = 8x+3   Of these five options, only 19 has the form 8x+3.   The answer is 19.
Answer: E
A vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?	Choose the correct answer: A) 40 B) 42 C) 44 D) 46 E) 48

Solution: Let x be the original number of apples.   On day one, the vendor throws away (0.2)(0.7)x=0.14x.   The remaining apples are (0.8)(0.7)x = 0.56x.   On day two, the vendor throws away (0.5)(0.56)x=0.28x.   The vendor throws away a total of 0.14x + 0.28x = 0.42x.   The vendor throws away 42 percent of the apples.   The answer is 42. 0.14  + 0.28= 
 0.14  + 0.28 = 0.42
0.42x.   The vendor throws away 42 percent of the apples.   The answer is 42.
Answer: B
A car traveled 340 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?	Pick one:
A) 504  B) 416  C) 321  D) 220  E) 170

Solution: Let the speed in highway be h mpg and in city be c mpg.   h = c+6   h miles are covered in 1 gallon   340 miles will be covered in 340/h.   Similarly c miles are covered in 1 gallon   336 miles will be covered in 336/c.   Both should be same (as car's fuel capacity does not change with speed)   => 336/c = 340/h   => 336/c = 340/(c+6)   => 336c+336*6=340c   =>c=336*6/4= 
336*6/4 = 504
504   504nswer 504.
Answer: A
A can do a piece of work in 14 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Choose the correct choice from the following
A) 15 3/17 days  B) 11 3/17 days  C) 12 3/17 days  D) 19 3/17 days  E) 13 3/17 days

Solution: 11 3/17 days   (x â€“ 5)/14 + x/20 = 1   x = 11 3/17 days
Answer: B
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car? Choose the correct choice
A) 228	B) 288	C) 960	D) 882	E) 271

Solution: 60(x + 1) = 64x   X = 15   60 * 16= 
60 * 16 = 960
960 km   Answer: 960
Answer: C
The ratio between the number of sheep and the number of horses at the Stewar farm is 2 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??	Choose the correct choice from the following options.
A) 18  B) 16  C) 32  D) 56  E) 58

Solution: et no of sheep and horses are 2k and 7k   no of horses= 12880/230= 
12880/230 = 56
56   now 7K=56 and k=8   no of sheep=(2*8)= 
(2*8) = 16
16   ANSWER:16
Answer: B
A box contains eight apples out of which 4 are rotten. If four apples are chosen at random, find the probability that all the four apples are rotten?	Choose the correct choice from the following options.
A) 1/113
B) 1/90
C) 1/80
D) 1/70
E) None of these

Solution: Out of nine apples , five are good and four are rotten.   Required probability = 4C4/8C4 = 1/70   1/70
Answer: D
Which of the following equations has a root in common with x^2−7x+10=0 ?	Select:
A) x^2+5=0
B) x^2-x-1=0
C) x^2-6x+5=0
D) x^2-2x-1=0
E) x^2-1=0

Solution: If we carefully look at the given equation we can arrange it in the following manner:   (x-5)(x-2) = 0   so the two roots are 5 and 2.   Now put 5 and 2 in given equations. The equation in which one of them gives value 0, that will be our answer.   (A) putting 5: we get 30; Putting 2 we get 9. Reject this option [by the way x^2+1 cannot have real roots]   (B) putting 5: we get 19; Putting 2 we get 1. Reject this option too [by the way x^2-x-1 cannot have real roots]   (C) putting 5: we get 0. This is the equation.   We are lucky. No need to check other options.   x^2-6x+5=0 is the answer.
Answer: C
The difference between simple and compound interest on Rs. 1600 for one year at 10% per annum reckoned half-yearly is? Choose the correct choice from the following
A) 8
B) 3
C) 9
D) 4
E) 2

Solution: S.I. = (1600 * 10 * 1)/100 = Rs. 160   C.I. = [1600 * (1 + 5/100)2 - 1600]   = Rs. 164 Difference = (164 - 160)   = Rs.4.   Answer:4
Answer: D
How many numbers greater than 1000 can be formed with the digits 3,4,6,8,9 if a digit cannot occur more than once in a number?	Choose the correct choice from the following answers:	A) 240	B) 120	C) 360	D) 60	E) 600

Solution: This is choosing 4 from 5 (any 4 digit number chosen from 3,4,6,8,9 will be>1000) plus 5 from 5 (any 5 digit number will be >1000), where order is important.   So the number of ways we can arrange the given digits so that our resulting number is greater than 1000 such that no digit occurs more than once, is:   5P4 + 5P5 = 240   240
Answer: A
A fair coin is tossed 9 times. What is the probability of getting more heads than tails in 9 tosses?
Choose the correct choice from the following answers:
A) 1/2
B) 63/128
C) 4/7
D) 61/256
E) 63/64

Solution: On each toss, the probability of getting a head is 1/2 and the probability of getting a tail is 1/2.   There is no way to get the same number of heads and tails on an odd number of tosses.   There will either be more heads or more tails.   Then there must be more heads on half of the possible outcomes and more tails on half of the possible outcomes.   P(more heads) = 1/2   The answer is 1/2.
Answer: A
A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 3 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction? Choose the correct option
A) 21/4 B) 35 C) 28 D) 26 E) 21

Solution: x/y = 2/5 -> 1   (x+3)/2y = 1/3 -> 2   Divide 1 by 2 :   => 2x/(x+3) = 6/5   => 10x = 6x + 18   => x = 3/2   => y = 5/2 * 3/2= 15/4   so x + y = 21/4   The answer is 21/4
Answer: A
Dawson’s salary is reduced by 20% and then reduced salary is increased by 20%. Find ,how many percentage his present salary is less as compared to his previous salary?
Answers: A) 0% B) 1% C) 2% D) 3% E) 4%

Solution: 20*20   -------- = 4%   100   Answer: 4%
Answer: E
Vlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?  Choices
A) 54  B) 72  C) 96  D) 144  E) 432

Solution: Vlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. 2 candles from 4 candles: 4C2: 6   8 flowers from 9 flowers: 9C8 : 9   So total grouping     9*6= 
  9*6 = 54
54.   54nswer is 54.
Answer: A