MU-NLPC/Calc-aqua_rat huggingface dataset:
What are the last two digits of 63*35*37*82*71?
Choose the most appropriate option
A) 10 B) 30 C) 40 D) 70 E) 80

Solution: We know that to find the last two digits, we need to find the remainder we get when we divide the product by 100.   Remainder of (63*35*37*82*71*41)/ 100   Note that we can simplify this expression by canceling out the 5 and 2 in the numerator and denominator. But before we do that, here is an important note:   Note: We cannot just cancel off the common terms in the numerator and denominator to get the remainder. But, if we want to cancel off to simplify the question, we can do it, provided we remember to multiply it back again.   So say, we want to find the remainder when 14 is divided by 10 i.e. 14/10 (remainder 4). But we cancel off the common 2 to get 7/5. The remainder here will be 2 which is not the same as the remainder obtained by dividing 14 by 10. But if we multiply 2 back by 2 (the number we canceled off), the remainder will become 2*2= 
2*2 = 4
4 which is correct.   Take another example to reinforce this – what is the remainder when 85 is divided by 20? It is 5.   We might rephrase it as – what is the remainder when 17 is divided by 4 (cancel off 5 from the numerator and the denominator). The remainder in this case is 1. We multiply the 5 back to 1 to get the remainder as 5 which is correct.   So keeping this very important point in mind, let’s go ahead and cancel the common 5 and 2.   We need the   Remainder of (63*7*37*41*71*41*5*2)/10*5*2   Remainder of (63*7*37*41*71*41)/10   Now using concept 2, let’s write the numbers in form of multiples of 10   Remainder of (60+3)*7*(30+7)*(40+1)*(70+1)*(40+1)/10   Remainder of 3*7*7*1*1*1/10   Remainder of 147/10= 7   Now remember, we had canceled off 10 so to get the actual remainder so we need to multiply by 10: 7*10 = 70.   When 63*35*37*82*71*41 is divided by 100, the remainder is 70. So the last two digits of 63*35*37*82*71*41 must be 40.   Answer (40)
Answer: C
A train moves fast a telegraph post and a bridge 264 m long in 2 sec and 20 sec respectively. What is the speed of the train?	Select the correct option:
A) 89 B) 23 C) 52.8 D) 79.2 E) 67

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 2=> x = 2y   (x + 264)/20 = y   y = 14.67   Speed = 14.67 m/sec = 14.67 * 18/5 = 52.8 km/hr.   Answer: Option 52.8
Answer: C
In Town X, 72 percent of the population are employed, and 36 percent of the population are employed males. What percent of the employed people in Town X are females? Choices:
A) 16%
B) 25%
C) 32%
D) 40%
E) 50%

Solution: Total employed people 72%, out of which 36 are employed males, hence 36% are employed females.   (employed females)/(total employed people)=36/72=1/2=50%   Answer: 50%.
Answer: E
An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it? Answers:	A) 10hours	B) 12hours	C) 8hours	D) 5hours	E) 15hours

Solution: Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12   The leak will empty the tank in 12hours   Answer is 12hours
Answer: B
During the months May through October, Teddy the bear quadruples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choose the correct choice from the following.
A) 16m - 1300
B) 16m - 1200
C) 4m - 1300
D) 4m - 1200
E) 4m

Solution: Nov ' 73 = m   16m - 1300pril ' 74 = m - 100   Oct ' 74 = 4m - 300   16m - 1300pril' 75 = 4m - 400   Oct' 75 = 16m - 1200   16m - 1300pril'76 = 16m - 1300   Hence answer will be (16m - 1300) 16m - 1300
Answer: A
Six boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical? Choose the correct choice from the following choices.
A) A)4^30
B) B)2^30
C) C)1^30
D) D)3^30
E) E)6^30

Solution: 6^30ach Mango can be given to any one of the six people or in other words..1 mango can be divided into 6 ways...so all 30 can be divided in 6^30 ways   ANS:6^30
Answer: E
What least number should be subtracted from 13604 such that the remainder is divisible by 87 ?
Choose the correct option.
A) 32  B) 29  C) 28  D) 30  E) 31

Solution: 13604 ÷ 87 = 156, remainder = 32   Hence 32 is the least number which can be subtracted from 13604 such that the remainder   is divisible by 87   32nswer is 32
Answer: A
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. 3360. They completed the work in 3 days with the help of C. How much is to be paid to C?	Choose the correct choice:  A) s. 380  B) s. 600  C) s. 420  D) s. 400  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 + s. 420 can do = 1/3   Amount of work s. 420 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 s. 420 can do in 1 day   = 1/6 : 1/8 : 1/24 = 4 : 3 : 1   Amount to be paid to s. 420 = 3360 × (1/8) = 420   Answer : Option s. 420
Answer: C
Rs. 5200 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choose the correct answer.
A) 1600	B) 1500	C) 1200	D) 600	E) 100

Solution: 1/2:1/3:1/4   = 6:4:3   3/13*5200= 
3/13*5200 = 1_200
1200   Answer: 1200
Answer: C
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?  Choose the correct choice from the following answers
A) 2 (1/9) km/h  B) 2 (1/5) km/h  C) 2 (3/2) km/h  D) 2 (1/2) km/h  E) 2 (1/1) km/h

Solution: :100 --- 10 2 (1/2) km/hS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   Answer: 2 (1/2) km/h
Answer: D
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 60% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?  Choose the correct choice from the following answers:
A) 36%  B) 60%  C) 64%  D) 80%  E) 84%

Solution: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.6*0.6 = 0.36. So, the probability that he will be able to attend is 1 - 0.36 = 0.64.   Answer: 64%.
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct choice from the following answers:
A) 187 m  B) 278 m  C) 876 m  D) 150 m  E) 267 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150 m
Answer: D
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 290 votes. The total number of votes polled was?
Answers
A) votes  B) votes  C) votes  D) votes  E) votes

Solution: Total = 100 %,   First person got 60%   second person got remaining 40 % of votes.   than 40 % = 290   40% = 40×7 = 290   100% =100×7 =700 votes   votes)
Answer: A
if a@b = a * b^(1/2) then 4@9 = ?
self made
Choose the correct choice
A) 2 B) 12 C) 3 D) 8 E) 4

Solution: 4* (9)^1/2= 4*3= 
4*3 = 12
12   12 is the answer
Answer: B
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 280 sq cm. Find the area of the square? Answers: A) 482 B) 268 C) 260 D) 480 E) Cannot be determined

Solution: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.   4a = 2(l + b)   2a = l + b   l . b = 280   We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .   Area of the square cannot be found.   Answer: Cannot be determined
Answer: E
What is the next number of the following sequence
2,2,12,12,30,30,_?
Options
A) 54 B) 55 C) 56 D) 57 E) 58

Solution: 1^2+1=2   2^2-2=2   3^2+3=12   4^2-4=12   5^2+5=30   6^2-6=30   next is (7^2+7)=56   ANSWER:56
Answer: C
The smallest number which when diminished by 12, is divisible 12, 24, 36, 48 and 56 is:
Select the correct option:
A) 1008
B) 1015
C) 1020
D) 1032
E) 1048

Solution: Required number = (L.C.M. of 12, 24, 36, 48,56 ) + 12   = 1008 + 12= 
1008 + 12 = 1_020
1020   Answer: Option 1020
Answer: C
A k-almost prime number is defined as a positive integer with exactly k prime factors that are not necessarily distinct. The third smallest 4-almost prime number, less the fourth smallest 3-almost prime number is Choose the correct choice from the following answers
A) 6
B) 8
C) 16
D) 24
E) 28

Solution: Solution: 3-almost prime numbers : 8(as 8 = 2*2*2) , 12 (2*2*3) , 18 (2*3*3) , 20 (2*2*5)....   4-almost prime numbers : 16(as 8 = 2*2*2*2) , 24 (2*2*2*3) , 36 (2*2*3*3)...   The third smallest 4-almost prime number, less the fourth smallest 3-almost prime number = 36-20= 
36-20 = 16
16.   Option 16.
Answer: C
If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant
2. Line L does pass the origin
3..The slope of L is negative
Choose the correct option:
A) I only B) II only C) III only D) I and II E) II and III

Solution: Slope of the given line= 3-n/n-3   Given information is that n is not equal to 3, that means n <3 or n>3. In both these conditions the slope will be negative.   1) n<3 (n=2)   3-2/2-3= -1   2) n<3 (n= 0)   3-0/0-3= -1   3) n<3 (n=-3)   3+3/ -3-3= -2/3   4) n>3   3-4/4-3= -1   NAswer III only
Answer: C
2: 5 = 4/3: x. The value of x is?
Select.
A) 10/3
B) 2
C) 3
D) 4
E) 5

Solution: x * 2 = 5 * 4/3   x *2= 20/3   x=10/3   10/3NSWER:10/3
Answer: A
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?	Choices.
A) 420 B) 700 C) 220 D) 400 E) None of these

Solution: Explanation :   He sells 40% of oranges and still there are 420 oranges remaining   => 60% of oranges = 420   ⇒ (60 × Total Oranges)/100 = 420   ⇒ Total Oranges/100 = 7   ⇒ Total Oranges = 7 × 100 = 700   Answer : Option 700
Answer: B
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.140. Find the unknown rate of two blankets?	Choose the correct option.
A) 350	B) 550	C) 490	D) 450	E) 457

Solution: 10 * 140 = 15=1400   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1400 – 1050= 350   350nswer:350
Answer: A
10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is ?	Choose the correct choice from the following choices.
A) 1
B) 7
C) 3 years
D) 9
E) 2

Solution: Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.   Total age of 4 members now = [96 + (10 x 4)] years = 136 years.   Total age of 6 members now = (24 x 6) years = 144 years.   Sum of the ages of 2 children = (144 - 136)= 
(144 - 136) = 8
8 years.   Let the age of the younger child be years.   Then, age of the elder child= years.   So,   Age of younger child = 3 years.   Answer: 3 years
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:  Choose the correct choice from the following:
A) 15360
B) 153600
C) 30720
D) 307200
E) 308765

Solution: Perimeter = Distance covered in 8 min. =(12000/60)x 8m = 1600 m.   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m2. Answer: Option 153600
Answer: B
If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 8% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
Select the correct option:
A) 2 B) 5 C) 200/27 D) 110/20 E) 9/4

Solution: Let price be 10/ticket   then 220 tickets for this month's performance at its usual price=2200   which is 10%greater than last month(let X)---->x(1+10/100)=2200----->x=2000   now new revenue this month=200*10.8= 
200*10.8 = 2_160
2160   as per question asked 2000=2160(1-A/100)----->A=200/27%   Ans 200/27
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Choose the correct choice from the following options:
A) 227 m  B) 150 m  C) 187 m  D) 167 m  E) 187 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 9= 
50/3 * 9 = 150
150 m   Answer: 150 m
Answer: B
How many integers between 1 and 10^18 are such that the sum of their digits is 2?  Choose the correct choice from the following answers: A) 161 B) 171 C) 181 D) 191 E) 201

Solution: The integers with a sum of 2 are:   2, 20, 200,...,2*10^17 and there are 18 integers in this list.   Also, these integers have a sum of 2:   11   101, 110   1001, 1010, 1100   etc...   The number of integers in this list is 1 + 2 + ... + 17   Thus, the total number of integers is 1 + 2 + ... + 17 + 18 = 18*19/2= 
18*19/2 = 171
171   The answer is 171.
Answer: B
A cylindrical water filter is filled with water at a rate of 11 cubic meters per hour, the level of water in the filter rises at a rate of 0.4 meters per hour. Which of the following best approximates the radius of the filter in meters? Choose the correct choice from the following answers
A) √10/2  B) √10  C) 4.183  D) 5  E) 10

Solution: Here's my re-worked solution:   volume = 11 = pi (r^2)(0.4)   22 = 22/7 (4/10)(r^2)   70/4 = r^2   r = sqrt(70/4)   Ans: 4.183
Answer: C
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train  Pick one.
A) 70 km/hr
B) 72 km/hr
C) 79.2 kilometre per hour
D) 80 km/hr
E) None

Solution: Solution   Speed	= (132 / 6) m/sec   = (22 x 18 /5) km/hr   = 79.2 km/hr   Answer 79.2 kilometre per hour
Answer: C
Company X provides bottled water to its employees in 1 liter bottles, $2 each. At least how many 1L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)	Options
A) 28
B) 29
C) 30
D) 31
E) 27

Solution: let the no. of 1 liter bottles be x, so the no. of 10l bottles will be x/10 (to equate the vol.) since the total cost will be equal , 2x= 50+x/10 so x= 26.31 or 27. Answer is (27).
Answer: E
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 60 per kg. How much amount did he pay to the shopkeeper?
Select the correct option
A) A)1055	B) B)1075	C) C)1065	D) D)1070	E) E)1100

Solution: Cost of 8 kg grapes = 70 × 8 = 560.   Cost of 9 kg of mangoes = 60 × 9 = 540.   Total cost he has to pay = 560 + 540= 
560 + 540 = 1_100
1100.   1100)
Answer: E
For a journey the cost of a child ticket is 1/3rd of the cost of an adult ticket. If the cost of the ticket for 4 adults and 5 children is Rs. 85, what is the cost of a child ticket? Choices:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: cost of 1 child=5   cost of 1 adult=A   5=1/3 A =>A=35   4A+55=85   => 125+55=85   => 175= 85   =>5=5   ANSWER:5
Answer: C
This year, MBB Consulting fired 5% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Choose the correct choice from the following answers.
A) 98.5%	B) 100.0%	C) 102.8%	D) 104.5%	E) 105.0%

Solution: 100 employees, each earning 1$.   After the cut, 95 are left, each earning 1.1$.   1.1*95= 
1.1*95 = 104.5
104.5   100*1= 
100*1 = 100
100   This gives you the answer.   ANSWER:102.8%
Answer: C
A farmer divided certain number of acres of land among 3 sons and 1 daughter in such a way that 1/3rd of the total land was given to elder son, 1/2 of the remaining was given to second son, 1/3rd of the remaining was given to his younger son, and the remaining to his daughter. As a result, the younger son and daughter received equal number of acres. Find the total number of acres divided, if daughter gets 12 acres land.	Choose the correct choice from the following
A) 72	B) 90	C) 120	D) 84	E) 62

Solution: Let total number of land Y acre   Elder son =   Y × 1/3 = 1/3 Y   Remaining = Y – 1/3 Y = 2/3 Y   Second son = 1/2 of 2/3 Y = 1/3 Y   Remaining = 1/3 Y = 24 acre [ 12 + 12= 
 12 + 12 = 24
24, younger son + Daughter]   1/3 Y= 24, then Y = 24 × 3/1 = 72   Option 72
Answer: A
Margaret is 8 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages	Pick one
A) 10yrs	B) 20yrs	C) 30yrs	D) 40yrs	E) 50yrs

Solution: Let, age of son x=12   Margaret is 8 years more than twice the age of his son, y = 8+2(x)   =8+2(12)   =8+24= 
8+24 = 32
32yrs   Difference= 32 - 12= 
32 - 12 = 20
20yrs   ANSWER:20yrs
Answer: B
How many of the positive factors of 24 are not factors of 25	Choose the most appropriate option
A) 2	B) 3	C) 4	D) 1	E) 5

Solution: factors of 24 - 1, 2, 3, 4, 6, 8, 12,24   factors of 25 -1,5, 25   Comparing both, we have 1 factor of 24 which are not factors of 25- 1   Answer: 1
Answer: D
If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :	Pick
A) 2 :3  B) 3 :4  C) 3:20  D) 20 : 3  E) 30:7

Solution: 0.4A = 0.06B   -> A/B = 0.06/0.40 = 6/40 = 3/20   :. A : B = 3 : 20   ANSWER:3:20
Answer: C
A glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?  Choose the correct choice from the following options:  A) 3.00  B) 5.00  C) 4.50  D) 5.50  E) 6.75

Solution: We are given that a glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of glucose is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution, we can set up a proportion.   We can say: “10 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 45 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.   10/100 = x/45   When we cross multiply we obtain:   (10)(45) = 100x   450 = 100x   4.50 = x   There are 4.5 grams of glucose in the solution in the container.   The answer is 4.50.
Answer: C
Tom has travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
Answers.
A) $1  B) $1.84  C) $1.98  D) $2.34  E) $2.56

Solution: Ordering the data from least to greatest, we get:   $1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11   The median gasoline price is $1.84. (There were 3 states with higher gasoline prices and 3 with lower prices.)   $1.84
Answer: B
r=3^(n+3), then in terms of r, 9^n= Options:
A) r^2/81
B) r^3/729
C) r^2
D) r/3
E) r

Solution: Questions in terms of variables can be easily solved by plugging in some values: Say n = 0   r = 3^2 = 27   and you need the value of 9^n which is 9^0 = 1   So when you put r = 27 in the options, you should get 1. Only option (A) satisfies.   Answer (r^3/729)
Answer: B
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive T difference between n and m?
Choose the correct choice from the following
A) 1 B) 3 C) 5 D) 7 E) 9

Solution: We have equation 2n + 5m = 50   We have factor 2 in first number and we have factor 5 in second number.   LCM(2, 5) = 10   So we can try some numbers and we should start from 5 because it will be less list than for 2   2 * 5= 
2 * 5 = 10
10 and n should be equal 20   4 * 5= 
4 * 5 = 20
20 and n should be equal 15   6 * 5= 
6 * 5 = 30
30 and n should be equal 10   8 * 5= 
8 * 5 = 40
40 and n should be equal 5   10 * 5= 
10 * 5 = 50
50 and n should be equal 0   third variant give us the mininal difference   n - m= 10 - 6= 
10 - 6 = 4
4   And there is some mistake in my way of thinking because we don't have such answer )   If we change the task and will seek for difference between m and n   than minimal result T will be 8 - 5= 
8 - 5 = 3
3   And answer 3
Answer: B
Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choose one.
A) 75000 B) 70000 C) 72000 D) 78000 E) 76000

Solution: Explanation:   Ratio of the profits of Kamal and Kiran   =25000×12:60000×8   =25×12:60×8   =5×3:12×2   =5:4×2   =5:8   Let the total profit =x   Then Kamal received 10x/100=x/10 as commission for managing the business.   Remaining profit =x−x10=9x10 which is shared in the ratio =5:8   Total amount received by Kamal =x/10+9x/10×5/13   ⇒x/10+9x/10×5/13=58000   ⇒x+9x ×5/13=580000   ⇒x(1+45/13)=580000   ⇒x(58/13)=580000   ⇒x x 1/13=10000   ⇒x=130000   Kiran's share = 130000−58000=72000   Answer: Option 72000
Answer: C
Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years.  Options
A) 360
B) 390
C) 400
D) 410
E) 420

Solution: A straight Q requiring direct formulae..   when compounded annually the final amount=P(1+ r/100)^n..   here P=1200, r=10 and n=3..   1200(1+ 10/100)^3..   1200*1.1^3=1597.2   interest =1597-1200= 
1597-1200 = 397
397, which is nearly 400 in the choices given   ANSWER:400
Answer: C
Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 16 minutes. How long will it take to fill the cistern if all the three are opened at the same time? Choose the correct option
A) 17 1/9 min  B) 5 1/8 min  C) 6 1/7 min  D) 6 6/7 min  E) 17 3/7 min

Solution: 1/8 + 12 - 1/16   = 7/48   48/7 = 6 6/7   Answer:6 6/7 min
Answer: D
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
7 minutes more to walk to work than to ride his bicycle, then x equals
Choices:
A) 4
B) 7
C) 10.5
D) 15
E) 20

Solution: The best way would be...   Per km, he takes 40 secs extra if he walks   So he will take 7 mins or 7*60 secs in 7*60/40= 
7*60/40 = 21/2 = around 10.5
10.5 km   ANSWER:10.5
Answer: C
100 is what percent of 40?
. Choose the correct choice:
A) 0.2%
B) 250%
C) 5%
D) 20%
E) 500%

Solution: 100= x*40/100   x = 250%   Ans; 250%
Answer: B
a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b?
Pick one:
A) 2/7 B) 1/2 C) 3/4 D) 1 E) 5/4

Solution: min value of a/b will be when b is highest and a is lowest ---> a=50 and b=70   So, a/b = 5/7   max value of a/b will be when b is lowest and a is highest ---> a=60 and b=60   So, a/b = 1   Range is 1-(5/7) = 2/7.   2/7nswer should be 2/7.
Answer: A