MU-NLPC/Calc-aqua_rat huggingface dataset:
In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?	Choose the correct choice from the following answers: A) 45 B) 47 C) 48 D) 49 E) 53

Solution: Lets assume AC=63(includesonly AC carsandcars with AC and racing stripes)   lets assume RS(racing stripes)>=51(includescars with AC and racing stripesandonly racing stripes).   Now since we want to maximize(only AC) we have to see to it thatcars with AC and racing stripesis minimal(assume 0) But since RS>=51.. we have to assign atleast 14 tocars with AC and racing stripes.   Hence AC=63-14= 
63-14 = 49
49.   The answer is 49
Answer: D
If x < 0 and 0 < y < 1, which of the following has the greatest value H?	Select
A) x^2
B) (xy)^2
C) (x/y)^2
D) x^2/y
E) x^2*y

Solution: Given, x < 0 and 0 < y < 1   Let, x = -2 and y = 1/2   A. x^2 = (-2)^2 =4   B. (xy)^2 = (-2*1/2)^2 =1   C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 =16   D. x^2/y = (-2)^2 / (1/2) = 4*2= 
4*2 = 8
8   E. x^2*y= (-2)^2*(1/2) =2   Answer: option (x/y)^2
Answer: C
If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?	Choose the correct choice from the following options
A) 66.66	B) 86.88	C) 70.05	D) 76.66	E) 89.99

Solution: Q'S height over P's = ((40/(100-40)) * 100   = 66.66%   66.66NSWER 66.66
Answer: A
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.420 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.	Pick:
A) 400	B) 420	C) 430	D) 450	E) 510

Solution: Let no. of non- officers be x   15 * 420 + x * 110 = (x + 15) 120   x = 450   450
Answer: D
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Choose the correct choice from the following choices:
A) 78	B) 77	C) 25	D) 77	E) 62

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 80 x.   Total marks of (x - 5) students = 90(x - 5)   80x - (5 * 40) = 90(x - 5)   250 = 10x => x = 25   Answer:25
Answer: C
The age of father 8 years ago was thrice the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choose the correct choice from the following options: A) 47 : 11 B) 37 : 21 C) 27 : 21 D) 47 : 21 E) 47 : 31

Solution: Let the ages of father and son 8 years ago be 3x and x years respectively.   Then, (3x + 8) + 5 = 2[(x + 8) + 5]   3x + 13 = 2x + 26   x = 13.   Required ratio = (3x + 8) : (x + 8) = 47 : 21.   Answer: Option 47 : 21
Answer: D
How many even integers n, such that 20<=n<=200 are of the form 3k+4, where k is any natural number?  Choose the correct choice from the following:
A) 26	B) 30	C) 34	D) 38	E) 42

Solution: The first number is 22 = 16+6(1).   We can continue adding 6 to make a list: 22, 28, 34,...   The last number is 196 = 16+6(30)   There are 30 numbers in the list.   The answer is 30.
Answer: B
50% of a number is more than 20% of 650 by 190. Find the number?
Choose the correct choice from the following.
A) 640 B) 278 C) 800 D) 267 E) 121

Solution: (50/100) * X â€“ (20/100) * 650 = 190   1/2 X = 320   X = 640   640nswer:640
Answer: A
A and B can finish 5 piece of work in 10 days each. C can do 40% faster than A and B.Approximately how many days would it take to finish 51 piece of work with all three working simultaneously?
Choices.
A) 38 B) 42 C) 46 D) 50 E) 51

Solution: since c is 40% faster , thus it will create 7 pieces of work in 10 days   in 10 days total number of work by all three will be :    5+5+7= 
 5+5+7 = 17
17   in 20 days:   17+17= 
17+17 = 34
34   in 25 days:   34+17= 
34+17 = 51
51   thus in all 51 days.   Ans:51
Answer: E
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 5% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Choose the correct choice from the following choices:	A) 22%	B) 23%	C) 24%	D) 25%	E) 34%

Solution: Since 5% of the customers who sample the candyare notcaught, then 88% of the customers who sample the candyarecaught:   {% of customers who sample candy}*0.95 = 0.22;   {% of customers who sample candy} = 0.231.   Answer: 23%.
Answer: B
1.	How much more would Rs.24000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Choose the correct option.
A) A)Rs.6,338.40  B) B)Rs.6,339.40  C) C)Rs.6,340.40  D) D)Rs.6,341.40  E) E)Rs.6,342.40

Solution: 24000(11/10)4 - 24000(6/5)2 = 6,338.40   Rs.6,338.40NSWER:Rs.6,338.40
Answer: A
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Select the correct option:
A) 2/5  B) 3/9  C) 4/7  D) 2/7  E) 1/3

Solution: Total number of balls = 6+8= 
6+8 = 14
14   Number of white balls= 8   probability of drawing a white ball = 8/14 = 4/7   Answer is 3/9
Answer: B
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her eighteen kids?
Choose the correct answer
A) 8 B) 9 C) 5 D) 7 E) 10

Solution: cost of each apple = 4 dollars   Apples that Benny can buy with the amount she has=360/4= 
360/4 = 90
90.   Apples that each kid gets evenly= 90/18= 
90/18 = 5
5 Apples.   So the answer is 5=5
Answer: C
Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
Answers:	A) 10/21	B) 20/22	C) 32/45	D) 13/98	E) 43/21

Solution: Number of ways of choosing 4 persons out of 9   =9c4   =126   No.of ways of choosing 2 children out of 4 and 2 persons out of (3+2)= (4c2+5c2)   =60   P(E)=60/126   =10/21   10/21NSWER 10/21
Answer: A
3. How many numbers that are not divisible by 6 divide evenly into 264,600?	Select:  A) 9  B) 36  C) 51  D) 63  E) 72

Solution: 264600 = 2^3 * 3 * 5^2 * 431   Numbers that will divide 264600 will be made up of multiples of factors of 264600 that do not divide by 6.   Expanding out the factors that are made up of the prime factors I get:   2,4,8,5,25,431   The numbers of multiples of these are: 6C1+6C2+6C3+6C4+6C5+6C6 = 63.   But in addition 1 is also a factor and so is 3 so I would have thought the ans to = 65 but my best guess is:   ANS = 63
Answer: D
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 390 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?	Choose the correct choice from the following answers.
A) 237	B) 780	C) 197	D) 287	E) 720

Solution: Explanation:   Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.   2x/(x - 390) = 2 + 2(extra)   => 2x - 780 = x => x = 780.   Answer: 780
Answer: B
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.5. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson’s proposal? Choose the correct choice from the following answers
A) 0.12  B) 0.7  C) 0.28  D) 0.48  E) 0.72

Solution: (1at approves * second rejects ) + (1st rejects * 2nd approves ) + (both approves )   =0.5*0.2+0.4*0.3+0.6*0.8   = 0.10+0.12+0.48= 
0.10+0.12+0.48 = 0.7
0.70   0.7
Answer: B
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 65 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.) Choose the correct choice.
A) $15,360	B) $17,360	C) $18,000	D) $21,960	E) $27,360

Solution: For every $3 earn above $9360, the recipient loses $1 of benefit.   OR   For every $1 loss in the benefit, the recipient earns $3 above $9360   If earning is; 9360+3x   Benefit = 12000-x   Or the vice versa   If benefit is 12000-x, the earning becomes 9360+3x   He lost 50% of the benefit;   Benefit Received= 12000-0.65*12000 = 12000-7800= 
12000-7800 = 4_200
4200   Earning becomes 9360+3x=9360+3*4200= 
9360+3*4200 = 21_960
21960   Ans:$21,960
Answer: D
x/(y/z)
In the expression above, x, y, and z are different numbers and each is one of the numbers 1, 5, or 6. What is the least possible value of the expression?	Select.
A) 6/5 B) 2/15 C) 5/6 D) 3/10 E) 6/6

Solution: x/(y/z)   = (x*z)/y   The expression will have the least value when numerator (x*z) is the smallest.   = (1*5)/6   =5/6   Answer 5/6
Answer: C
The ratio of the present ages of a man and his wife is 7 : 6. Which of the following can't be a possible ratio of their ages 40 years ago?
Choices
A) 5: 7 B) 6: 7 C) 7:7 D) 8: 7 E) 9: 7

Solution: 7x-40/6x-40 = 8/7   Therefore x=-40   Age cannot be negative.   Answer: 8: 7
Answer: D
Each of the integers from 1 to 15 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?  Choose the correct choice from the following:  A) 9  B) 12  C) 11  D) 10  E) 3

Solution: Out of the 15 integers: 8 are odd and 7 are even.   If we need to make sure that the product of all the integers withdrawn is even then we need to make sure that we have at least one even number. In the worst case:   1. we will end up picking odd numbers one by one, so we will pick all 8 odd numbers first   2. 9th number will be the first even number   So we need to withdraw at least 9 numbers to make sure that we get one even number and the product of all the integers picked is even.   So, answer will be 9. (9)
Answer: A
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.  Select the correct option
A) 16, 18, 36	B) 16, 28, 36	C) 8, 20, 28	D) 20, 35, 45	E) None of these

Solution: Answer: Option B   Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 56   20x = 80 => x = 4   Their present ages are 16, 28 and 36 years respectively.
Answer: B
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is?	Answers:
A) 52:56
B) 52:53
C) 52:28
D) 52:19
E) 52:20

Solution: Let C.P. of the article be Rs. x.   Then, required ratio = 104% of x / 106% of x   = 104/106 = 52/53   =52:53   Answer: 52:53
Answer: B
A van takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choices
A) 50 Kmph  B) 60 Kmph  C) 70 Kmph  D) 80 Kmph  E) 90 Kmph

Solution: Time = 6   Distence = 540   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 540/9= 
540/9 = 60
60 Kmph   60 Kmph
Answer: B
Which of the following is the product of two integers whose sum is 15? Pick one.
A) -42  B) -28  C) 12  D) 26  E) 32

Solution: I solved this Question like this,   Let the two integers are x,y   x+y=15 (Given)   xy=? (Needed)   instead of solving this algebraically, Test the Answer choices   D. 26   Do the factorization : (1,26)----> There sum is not 15--eliminate   (2.13)---->There sum is 15 Bingo!!!!   So, my answer is D...   As the answer is in D, it took me very less time to answer the question. but i think this method is be simple and efficient.
Answer: D
In the quiet town ofNothintodothere are 600 inhabitants, 200 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?  Options
A) 50.  B) 100.  C) 150.  D) 250.  E) 300.

Solution: Total = 600   unemployed=200   employed=600-200= 
600-200 = 400
400   som=300   unemployed som = 300/2= 
300/2 = 150
150   employed som= 150   employed that are not som = 400-150= 
400-150 = 250
250   Answer :250.
Answer: D
The ratio of the adjacent angles of a parallelogram is 8 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral? Select
A) 168°  B) 228°  C) 156°  D) 224°  E) 164°

Solution: The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 8x + 10x = 180°   Or, 18x = 180°   Or, x = 10°   Hence the angles of the parallelogram are 80° and 100°   Further it is given   We know sum of all the four angles of a quadrilateral is 360°   So, 5y + 6y + 7y + 12 y = 360°   Or, 5y + 6y + 7y + 12 y = 360°   Or, 30y = 360°   Or, y = 12°   Hence the angles of the quadrilateral are 60° , 72, 84° and 144°   Will be 80° + 84° = 164°   Answer : 164°80  + 84= 
80  + 84 = 164
164°   Answer : 164°
Answer: E
617 x 617 + 583 x 583=?	Choose one:
A) 720578 B) 80578 C) 80698 D) 81268 E) None of them

Solution: =(617)^2 + (583)^2   =(600+17)^2 + (600-17)^2   =2[(600)^2+(17)^2]   =2[360000+289]   =2 x 360289 = 720578   720578nswer is 720578
Answer: A
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?  Answers
A) Rs.9689  B) Rs.9678  C) Rs.9688  D) Rs.9678  E) Rs.9680

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}2 = Rs.9680   Answer:Rs.9680
Answer: E
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
Answers.
A) 1:2
B) 2:1
C) 2:3
D) 6:5
E) 5:6

Solution: 7M + 6B ------- 5 days   20M + 48B = 35M + 30B   18B = 15M => 5M = 6B   M: B = 6:5   ANSWER 6:5
Answer: D
Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 50 miles per hour while Alice drives 80 miles per hour. After 5 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?  Choose the correct choice from the following:
A) 2 p.m.
B) 3 p.m.
C) 4 p.m.
D) 8 p.m.
E) 9 p.m.

Solution: 7:00 am so 4 hours later is 11:00 am   In five hours, Robert will have driven  5*50= 
 5*50 = 250
250 miles   In five hours, Alive will have driven 5*80= 
5*80 = 400
400 miles   So Robert needs  400-250= 
 400-250 = 150
150 miles do catch Alice up.   So at 50 mph, he will need 3 hours   11:00 am + 3 hours= 2:00 pm   2 p.m.NS : 2 p.m.
Answer: A
In a game, a player can win by getting 3 consecutive tails in four throws of a coin. What is the probability of winning if the player gets a tail on the first throw?  Choose the correct choice from the following options:  A) 1/4  B) 3/4  C) 1/2  D) 3/8  E) 5/8

Solution: The only way to win is to get a tail on each of the next two throws.   P(two tails)=(1/2)^2=1/4   The answer is 1/4.
Answer: A
Two trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other
train find the speed of the faster train.	Choose the correct choice from the following:
A) 60 km/hr
B) 76 km/hr
C) 98 km/hr
D) 9 km/hr
E) 77 km/hr

Solution: Explanation:   No explanation is available for this question!   60 km/hrNSWER:60 km/hr
Answer: A
Into a room you store 38 black bottles and 4 green bottles, and you turn off the light. If you ask to someone look for 2 bottles without turn on the light, what is the probability of both the selected bottles will be green?	Select the correct option
A) 1/574  B) 2/574  C) 1/287  D) 2/287  E) 3/287

Solution: There are 4 green bottles in a group of 38 + 4 that is 42. Thus the probability of picking 2 green bottles is: (4/42)(3/41) = 2/287. The correct answer is 2/287.
Answer: D
What is the probability that Company G's advertisement will be one of the first two be shown during the first commercial break?	Options:
A) 1/ 225  B) 1 / 30  C) 1 /15  D) 2 / 15  E) 4 /15

Solution: G 1/15 + (14/15) * 1/14 = 2/15 2 / 15
Answer: D
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?	Choose the correct choice from the following:  A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   5x = 25   x = 5.   Hence, B's age = 2x = 10 years.   Answer: Option 10
Answer: D
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work? Choose the correct choice from the following choices:  A) 24 days  B) 48 days  C) 22 days  D) 77 days  E) 55 days

Solution: 48 days = 1/16 – 1/24 = 1/48   => 48 days   Answer:48 days
Answer: B
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs.When the smaller wheel has made 21 revolutions,then the number of revolutions made by the larger wheel is : Choose the correct choice from the following choices.
A) 4  B) 9  C) 12  D) 49  E) 59

Solution: Solution   Let the required number of revolutions made by larger wheel be x.   Then. More cogs, Less revolutions (Indirect Proporation)   ∴ 14: 6 :: 21 : x ⇔ 14 × x = 6 × 21 ⇔ x = (6x21/14)=9. Answer 9
Answer: B
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?	Answers.
A) 10	B) 18	C) 20	D) 25	E) 30

Solution: A:18 = 2:3   18:C = 2:5   A:18:C = 4:6:15   6/25 * 75= 
6/25 * 75 = 18
18   ANSWER 18
Answer: B
If the Average of 10 consecutive integers is 21.5 then the 10th integer is :-  Options.
A) 15
B) 20
C) 23
D) 26
E) 25

Solution: The average falls between the 5th and 6th integers,   integer 5 = 21, integer 6 = 22.   Counting up to the tenth integer   we get 26.   ANSWER:26
Answer: D
A car is bought for Rs.60000/- and sold at a loss of 30% find its selling price?	Choose one:  A) s.45400/-  B) s.40000/-  C) s.48080/-  D) s.45590/-  E) s.42000/-

Solution: 100 % ------> 60000 (100 * 600 = 60000)   70 % ------> 42000 (70 * 600 = 42000)   Selling price = Rs.42000/-   Option 's.42000/-'
Answer: E
The current in a river is 3 mph. A boat can travel 21 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours? Choose the correct choice from the following:  A) 69 miles  B) 88 miles  C) 96 miles  D) 102.8 miles  E) 112 miles

Solution: Upstream Speed = 21-3= 
21-3 = 18
18mph   102.8 milesownstream Speed= 21+3= 
21+3 = 24
24 mph   102.8 miles/18 + 102.8 miles/24= 10 hours   Solving for 102.8 miles we get 102.8 miles=102.8   Answer: 102.8 miles
Answer: D
Solve below question 2x + 1 = -23  Pick.
A) -8
B) -9
C) -12
D) -4
E) 12

Solution: 1. Subtract 1 from both sides: 2x + 1 - 1 = -23 - 1 2. Simplify both sides: 2x = -24 3. Divide both sides by 2: 4. Simplify both sides: x = -12 -12
Answer: C
From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 11 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
Choose the correct answer
A) 38
B) 39
C) 40
D) 41
E) 42

Solution: Soln:-   11x=45 --> 10/9*x=45 --> x=45*9/10=1500/37=~41.   Answer: 41.
Answer: D
What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards,
it contains all Queens?
Choose one:  A) 192/3790  B) 192/379015  C) 193  D) Cannot be determined  E) None

Solution: nCr = n!/(n-r)!r!   Total number of possible hands = 52C5   52C5 = 2274090   Number of hands with 4 Queens = 4C4 × 48C1   4C4 = 24   48C1 = 48   (other 1 card must be chosen from the rest 48 cards)   Hence P (a hand will have 4 Queens) = (4C4 × 48C1)/52C5 = 192/379015.   Option is 192/379015
Answer: B
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choose the correct choice from the following choices
A) 7 : 3  B) 7 : 4  C) 7 : 5  D) 7 : 65  E) 7 : 9

Solution: Let the ages of father and son 10 years ago be 3x and x years respectively.   Then, (3x + 10) + 10 = 2[(x + 10) + 10]   3x + 20 = 2x + 40   x = 20.   Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.   7 : 3nswer:7 : 3
Answer: A
The product of ages of Harshit and Haritika is 240. If Hritika would have been twice her age she will be 4 years elder to Harshit. What is Haritika's age now? Choose the correct choice
A) 16 yrs	B) 24 years	C) 12 years	D) 10 years	E) 15 years

Solution: x*y=240   2y=x+4   (2y-4)=x   2y^2-4y-240=0   y=12 years   ANSWER:12 years
Answer: C
A bag consists of 20 marbles, of which 6 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?  Choose one:  A) 7/10  B) 2/4  C) 1/4  D) 1/8  E) 1/16

Solution: bag consists of 20 marbles, of which 6 are blue, 9 are red   remainder are white. So, white = 20 - 6 - 9= 
20 - 6 - 9 = 5
5.   probability that the marble will be red or white= probability that the marble will be red + probability that the marble will be white   probability that the marble will be red or white = 9/20+5/20 = 14/20 = 7/10   Hence, answer will be 7/10.
Answer: A
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?	Answers.
A) 766 m B) 156 m C) 245 m D) 156 m E) 156 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
How many integers are there between 35 and 108, inclusive? Answers:
A) 51
B) 55
C) 56
D) 57
E) 74

Solution: I guess the easiest way to answer this is -   Say you have two positive integers, x and y where y > x   Then the number of integers between x and y is given by - (y - x) + 1   In this case, it's (108 - 35) + 1= 
(108 - 35) + 1 = 74
74. Option 74
Answer: E
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 0 if a 1 is the value of the first coin flip?
Choose the correct choice from the following:
A) 0/8.  B) 1/2.  C) 1/5.  D) 3/8.  E) 1/3.

Solution: Assume the coin is unbiased.   Possible sums from 3 tosses = 0,1,2,3   O and 3 are possible in only 1 case each. (0,0,0 or 1,1,1)   1 is possible in 3C1 = 3 cases. (1,0,0; 0,1,0 or 0,0,1) or   similarly, 2 is possible in 3C2=3 cases (1,0,1; 1,1,0; 0,1,1)   So answer will be 0/8. Option A.   Its impossible to get a total value of 0 if a 1 has been showed
Answer: A
In a certain economy, C represents the total amount of consumption in millions of dollars, Y represents the total national income in millions of dollars, and the relationship between these two values is given by the equation C=90+9Y/11. If the total amount of consumption in the economy increases by 99 million dollars, what is the increase in the total national income, in millions of dollars? Options:
A) 11  B) 22  C) 99  D) 121  E) 171

Solution: Just assume y=11 and C=99   Then C=198 and Y=132   So Y increases by 121   ANSWER:121
Answer: D
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 20 kg. What is the weight of the new person?
Answers:  A) 75  B) 65  C) 85  D) 40  E) 80

Solution: Total increase in weight = 8 × 2.5 = 20   If x is the weight of the new person, total increase in weight = x−20   => 20 = x - 20   => x = 20 + 20= 
20 + 20 = 40
40   Answer is 40.
Answer: D