MU-NLPC/Calc-aqua_rat huggingface dataset:
If one person completes a journey in 10 hrs. He travels 1st half of the journey at the rate of 21 km/hr and 2nd half at therate of 24 km/hr. Find the total journey in km.	Options:
A) 189 km
B) 210 km
C) 224 km
D) 256 km
E) 274 km

Solution: distance = speed x time   Let time taken to travel the first half = x hr   then time taken to travel the second half = (10 - x) hr   Distance covered in the the first half = 21x   Distance covered in the the second half = 24(10 - x)   But distance covered in the the first half = Distance covered in the the second half   => 21x = 24(10 - x)   => 21x = 240 - 24x   => 45x = 240   => 9x = 48   => 3x = 16   ⇒x=163Hence Distance covered in the the first half = 21x=21×163=7×16=112 kmTotal distance = 2×112=224 km   224 km
Answer: C
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 sec. What is the length of the fast train?  Pick:
A) 27 7/6
B) 27 7/5
C) 277/2
D) 300/9
E) 27 7/1

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 6 = 300/9   = 300/9 m.   Answer:300/9
Answer: D
If each of 4 subsidiaries of Corporation R has been granted a line of credit of $626,500 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Select
A) $1,568,000
B) $448,000
C) $406,000
D) $313,600
E) $116,000

Solution: My take is C.   (626500*4 + 112000*3)/7= 
(626500*4 + 112000*3)/7 = 406_000
406000
Answer: C
A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 40 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?	Pick one:
A) 260
B) 280
C) 325
D) 340
E) 355

Solution: Let total capacity be x   we know 200 = 0.40x   x = 200/0.40= 
200/0.40 = 500
500   Prior to storm, we had 160 bn gallons     500-160= 
  500-160 = 340
340   Answer : 340
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 65 kg. What might be the weight of the new person? Choose the correct choice from the following answers:
A) 76 kg
B) 76.5 kg
C) 85 kg
D) Data inadequate
E) None of these

Solution: EXPLANATION   Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer 85 kg
Answer: C
Each week the forensics teams at Roslyn High School and Manchester High School debate each other. Each team has several members, and each week three are selected to debate. Whenever Aviva debates for Roslyn, Roslyn wins; and whenever Zachary debates for Roslyn, Roslyn wins. Whenever Josh debates for Roslyn, Manchester wins.  Pick:  A) 287  B) 268  C) 26  D) 17  E) 191

Solution: Explanation:   It is clear that if Josh debates for Rosln, Manchester wins. So Option A is correct.   287nswer: 287
Answer: A
If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 12 II. 3 III. 6
Pick one.
A) I only  B) II only  C) III only  D) I and III  E) I, II, and III

Solution: We're told that X is the SUM of 6 CONSECUTIVE INTEGERS. We're asked what X is divisible by....   Let's TEST VALUES....   IF we use the 6 consecutive integers: 7,8,9,10,11 and 12, then the sum = 57.   57 is divisible by 3   57 is NOT divisible by 6   57 is NOT divisible by 12   There's only one answer that 'fits' with these facts, so Answer : II only
Answer: B
if x:y = 1:2, then find the value of
(7x+3y):(2x+y)
Pick one:
A) 13:4	B) 15:5	C) 16:5	D) 17:5	E) None of these

Solution: Explanation:   let x = 1k and y = 2k, so   =7(k)+3(2k)/ 2(k)+1(2k)   =13k/4k   =13:4   Option 13:4
Answer: A
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost? Choose the correct choice from the following answers
A) 3
B) 4
C) 5
D) 6
E) 8

Solution: Explanation: When you read the math problem, you probably saw that the bat and the ball cost a dollar and ten cents in total and when you processed the new information that the bat is a dollar more than the ball, your brain jumped to the conclusion that the ball was ten cents without actually doing the math. But the mistake there is that when you actually do the math, the difference between $1 and 10 cents is 90 cents, not $1. If you take a moment to actually do the math, the only way for the bat to be a dollar more than the ball AND the total cost to equal $1.10 is for the baseball bat to cost $1.05 and the ball to cost 5 cents.   The ball costs 5 cents.   correct answer is 5)5
Answer: C
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?	Choose the correct choice from the following:
A) 267 B) 2667 C) 200 D) 269 E) 265

Solution: When the second train leaves Mumbai the first train covers 40 * 1= 
40 * 1 = 40
40 km   So, the distance between first train and second train is 40 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 40 / (50 -40)= 
40 / (50 -40) = 4
4 hours   So, the two trains meet at 2 p.m. The two trains meet 4 * 50= 
4 * 50 = 200
200 km away from Mumbai.   Answer:200
Answer: C
Four persons enter the lift of a four storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor	Options.
A) 81
B) 129
C) 154
D) 182
E) 250

Solution: Each person out of 4 has 3 floors (options) to get out of (since no one gets out on the ground floor), hence total ways is 3*3*3*3=3^4=81.   81nswer: 81.
Answer: A
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If r of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
Pick
A) y/R  B) y/(R-x)  C) xy/(R-x)  D) ry/(R(R-r))  E) y/(R(R-x))

Solution: y/(R-r)- y/R   if we simplify this we get choice ry/(R(R-r)), which is the correct answer.
Answer: D
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 22,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got five times as many votes as the other candidate, how many people have voted in each round? Choose one:  A) 15,000  B) 66,000  C) 40,000  D) 50,000  E) 60,000

Solution: Let A be the first candidate and B be the second one.   Given x+22000 = 5(x-22000) => x = 33000   2x = 66000   IMO option 66,000.
Answer: B
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: Select.
A) No profit, no loss B) 5% C) 8% D) 10% E) None of these

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 =80/1600x100% = 5%.   Answer: Option 5%
Answer: B
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3? Choose the correct answer:
A) 2345
B) 2445
C) 2653
D) 3334
E) 3456

Solution: If sum of the digits is divisible by 3, the number is divisible by 3.   Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.   Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).   Count of such numbers =   9999   3   =   3333   99993=3333   But zero is also divisible by 3.   This makes our total count 3334   3334
Answer: D
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3?	Choose the correct choice from the following choices.
A) $0.50 B) $1.00 C) $1.25 D) $1.50 E) $1.75

Solution: Salary grade of 5 is p(5)=9.50+0.25(5–1)=9.50+0.25*4;   Salary grade of 3 is p(3)=9.50 + 0.25(3–1)=9.50+0.25*2;   p(5)-p(3)=9.50+0.25*4-9.50-0.25*2=0.5.   $0.50nswer: $0.50.
Answer: A
Rain is falling at a rate of 10 centimeters per hour all over North Carolina. Somewhere downtown in North Carolina a group of people are waiting for the rain to stop. If the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters, how long did the people wait for the rain to stop? Choose the correct option
A) 4 hours  B) 11 hours  C) 7 hours 15 minutes  D) 3 hours  E) 14 hours

Solution: Answer is : D, 3 hours   The volume of the puddle is irrelevant and only height matters since rain fell all over the city.   Thus, it takes only 30 / 10= 
30 / 10 = 3
3 hours of rain to fill the puddle
Answer: D
C and D start a business with Rs.25000 and Rs.35000 respectively. Hoe should they share their profits at the end of one year?
Choose the correct choice:
A) 5:7	B) 7:5	C) 4:7	D) 7:4	E) 3:7

Solution: Explanation:   They should share the profits in the ratio of their investments.   The ratio of the investments made by C and D =   25000 : 35000 => 5:7   5:7nswer:5:7
Answer: A
Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choose the correct choice from the following choices.
A) 12.6 sec
B) 10.1 sec
C) 10.6 sec
D) 10.8 sec
E) 10.2 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other   = 140 + 210= 
140 + 210 = 350
350 m.   Required time= 350 * 9/250= 
350 * 9/250 = 63/5 = around 12.6
12.6 sec.   12.6 secnswer:12.6 sec
Answer: A
The fourth proportional to 7, 9, 14 is:	Choose the correct choice:
A) 10	B) 12	C) 14	D) 16	E) 18

Solution: Let the fourth proportional to 7, 9, 14 be x.   Then, 7 : 9 : 14 : x   7x = (9 x 14)   x =	(9 x 14)/7   x=126/7= 
126/7 = 18
18   Answer: Option 14
Answer: C
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 70% of the required amount. What is the net difference in the expenditure on that product?
Answers:
A) 10%	B) 11%	C) 12.5%	D) 13%	E) 15%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.25 = 0.875   Decrease in price = (0.125/1) × 100 = 12.5%   12.5%)
Answer: C
The shopkeeper sale, all of the prices of the items sold were different. If the price of a radio sold at the shopkeeper sale was both the 9th highest price and the 14th lowest price among the prices of the items sold, how many items were sold at the shopkeeper sale?
Choose the correct choice from the following choices
A) 23	B) 22	C) 32	D) 26	E) 17

Solution: 8+13+1= 
8+13+1 = 22
22   Answer: 22
Answer: B
What is the minimum percentage increase in the mean of set F {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes? Choose the correct choice from the following answers
A) 25%  B) 50%  C) 75%  D) 100%  E) 200%

Solution: Mean of F is (-4-1+0+6+9)/5= 
(-4-1+0+6+9)/5 = 2
2;   In order the increase to be minimal we should replace two smallest elements of F, which are -4 and -1, with two smallest primes, which are 2 and 3. Hence our new set will be {2, 3, 0, 6, 9} --> new mean is   (2+3+0+6+9)/5= 
  (2+3+0+6+9)/5 = 4
4.   Percent increase=(4-2)/2*100= 
(4-2)/2*100 = 100
100%.   Answer: 100%.
Answer: D
Judges will select 6 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choose the correct option
A) 10	B) 21	C) 210	D) 420	E) 560

Solution: First Select 5 from 7 contestants and then select top 3 from those 5 =   8C6*6C3 =28 * 20= 
28 * 20 = 560
560   ANS:560
Answer: E
If a^5 ≤ a, which of the following must be true?
I. –1 ≤ a ≤ 0
II. a=0
III. 0 ≤ a ≤ 1  Choose the correct choice from the following answers: A) None of the above B) I only C) II only D) III only E) I and III only

Solution: The trick here is more on the answer choices.   Look at I II and III. all are right (pick out some numbers).   Therefore I was totally confused because non of the answers had the right answer (I II and III)   I finally chose D, but hesitate between A and D quite a long time...   This is a tricky tricky question, since it takes into consideration that the answers are correct but they do not cover all the POSSIBLE answers.   Therefore it is None of the above.
Answer: A
How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?	Choose one:
A) 54 sec	B) 65 sec	C) 25 sec	D) 22 sec	E) 24 sec

Solution: 22 sec = 100 + 120= 
100 + 120 = 220
220   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 220/10= 
220/10 = 22
22 sec   Answer:22 sec
Answer: D
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform?  Choose the correct choice.
A) 288
B) 350
C) 400
D) 276
E) 234

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/42 = 50/3   3x + 900 = 2100 => x = 400 m.   Answer:400
Answer: C
How many times digit 6 is used while writing numbers from 150 to 1000?  Choose the correct answer
A) 648 B) 300 C) 252 D) 225 E) 26

Solution: There are 100 numbers which begin with 600   Next, In every 10 numbers such as 100 to 110, 110 to 120, 120 to 130 6 comes at least once. Number of such intervals = End limit - First no. / interval. Our range of numbers is 100 - 1000   1000 - 100= 
1000 - 100 = 900
900/10= 
900/10 = 90
90   Number of 10s interval in this is 90. So 90 '6s'   So far we have calculated 190.   The total now comes to 280. The nearest to which is 252. Hence 252.
Answer: C
Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 42. No two digits of h are identical. How many different numbers are possible values of h?
Choose the correct choice from the following answers
A) 12 B) 36 C) 24 D) 42 E) 54

Solution: Answer = 24 = 24   Let number =abcd   Given that a*b*c*d = 42   a,b,c,d can be 1,2,3,7   Number of ways = 4*3*2= 
4*3*2 = 24
24
Answer: C
What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 94m & 54m respectively? Pick:
A) s. 6420  B) s. 3563  C) s. 2400  D) s. 5480  E) s. 5076

Solution: Area of the parallelogram = Length of the base * Perpendicular height   = 94 * 54= 
94 * 54 = 5_076
5076m.   Total cost of levelling= Rs.5076   s. 5076
Answer: E
If 'a' and 'b' are non-zero numbers such that their sum is eight times the product, what is the value of 1/a + 1/b?  Choose the correct choice from the following options
A) 2 B) 4 C) 8 D) 12 E) 16

Solution: a+b = 8ab   1/a + 1/b = (b + a)/(ab) = 8.   The answer is 8.
Answer: C
If [x] is the greatest integer less than or equal to x, what is the value of [1.6]+[-3.4]+[10.7]?  Select the correct option
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: You are asked what the closest lesser integer value to [x] is.   [1.6] = 1.0   [-3.4] = -4.0   [10.7] = 10.0   Therefore , answer is: 1.0 -4.0 + 10.0= 
1.0 -4.0 + 10.0 = 7
7.0   Option 7.
Answer: E
Of the three numbers, second is twice the first and is also thrice the third.If the average of the three numbers is 44.Find the largest number.	Choices:
A) 70 B) 72 C) 66 D) 74 E) 71

Solution: Let the third number be x.   Then second number = 3x.   First number=3x/2.   Therefore x+3x+(3x/2)=(44*3) or x=24   So largest number= 2nd number=3x=72.   Answer is 72.
Answer: B
Tim and Élan are 30 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?	Choose the most appropriate option:
A) 20 miles.	B) 35 miles.	C) 45 miles.	D) 60 miles.	E) 65 miles.

Solution: Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.   Plugging in the answer choice Only 20 miles.nswer Choice 20 miles. meet the 2:1(Tim:Elan=20:10) ratio of maintaining total distance traveled 30 miles   So Correct answer 20 miles.
Answer: A
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 160 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $400, how many of the books sold were paperbacks?	Choices:
A) 60 B) 80 C) 100 D) 120 E) 140

Solution: The dealer earns a profit of $2 per paperback and $3 per hardback.   If all 160 books were paperbacks, the dealer would earn a profit of $320.   Since the actual profit was $400, the dealer must have sold 80 hardbacks.   Then the number of paperbacks sold was 160-80= 
160-80 = 80
80.   The answer is 80.
Answer: B
Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen table ? Choose the most appropriate option
A) Rs. 60000
B) Rs. 58000
C) Rs. 55000
D) Rs. 62000
E) None

Solution: Answer   ∵ Cost of 6 dozen chairs = 6 x 12 x214 = Rs. 15408   And cost of 4 dozen tables = 4 x 12 x 937 = Rs. 44976   ∴ Total cost =15408 + 44976   = Rs. 60384   = Rs. 60000 (Rs. 60000pproximately)   Option: Rs. 60000
Answer: A
Three hundred multiples of seven are chosen at random, and 200 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd? Choose the correct answer.
A) 20% B) 25% C) 30% D) 35% E) 40%

Solution: About half the multiples of seven will be odd while all the multiples of eight are even.   The percentage of odd numbers is about (1/2)(300) / 500 = 30%   The answer is 30%.
Answer: C
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choose the correct answer: A) 300 B) 320 C) 350 D) 345 E) 568

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350   Answer: Option 350
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?	Choose the correct choice.
A) 477	B) 444	C) 279	D) 276	E) 291

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   D = 37 * 12= 
37 * 12 = 444
444.Answer: 444
Answer: B
A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth. Choose the correct answer
A) 5 th Floor
B) 4 th Floor
C) 6 th Floor
D) 1 st Floor
E) None of these

Solution: Explanation :   Just start from last   below the floor above the 5th is again -- 5th only [since above d 5th is 6th nd below the 6th is 5th]   below the floor above the floor means -- 5th only [above the 5th is 6th nd below the 6th is 5th]   above the floor below the floor means -- again 5th only [below the 5th is 4th nd above the 4th is 5th]   Hence (A) is correct answer.   5 th Floornswer : 5 th Floor
Answer: A
In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election?	Choose the most appropriate option:
A) 16800
B) 15268
C) 14800
D) 15620
E) 16850

Solution: Let the total number of votes enrolled be x.   Then, number of votes cast = 75% of x.   Valid votes = 98% of (75% of x)   75% of (98% of (75% of x)) = 9261   (75/100)*(98/100)*(75/100)x = 9261   x = 16800   16800nswer is 16800
Answer: A
If 48 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?  Choose the most appropriate option
A) 80 hours	B) 75 hours	C) 70 hours	D) 65 hours	E) 60 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   15 : 48 : : 25 : x<=>(15 x x) =(48 x 25)<=>(48 x 25)/15 = 80   Hence, 15 men can do it in 60 hours   80 hoursnswer is 80 hours.
Answer: A
Two boats are heading towards each other at constant speeds of 3 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? Select.
A) 1/12	B) 5/12	C) 1/6	D) 1/3	E) 3/15

Solution: The question asks: how far apart will they be 1 minute=1/60 hours before they collide?   Since the combined rate of the boats is  3+21= 
 3+21 = 24
24 mph then 1/60 hours before they collide they'll be rate*time=distance --> 24*1/60=3/15 miles apart.   Answer: 3/15.
Answer: E
There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?
Choose the most appropriate option:
A) 2  B) 3  C) 4  D) 5  E) 7

Solution: I think there is a mistake in this question. If all men and women together complete 12 units, how only men can do 15 Units of work a day?   Forgetting about the reality, Women can do -3 units a day.   Answer:	3
Answer: B
If A is thrice as fast as B and together can do a work in 18 days. In how many days A alone can do the work?
Choices.
A) 36  B) 42  C) 24  D) 54  E) 45

Solution: A’s one day’s work= 1/X   B’s one day’s work= 1/3x   A + B’s one day’s work= 1/x + 1/3x = 1/18   = 3+1/3x = 4/3x = 1/18   x = 18*4/3= 
18*4/3 = 24
24   ANSWER:24
Answer: C
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ? Choose the correct answer.
A) 4236
B) 4306
C) 4336
D) 5336
E) None of these

Solution: Divisor = (5 x 46) = 230   10 x Quotient = 230 =	230/10= 
230/10 = 23
23   Dividend= (Divisor x Quotient) + Remainder   = (230 x 23) + 46   = 5290 + 46= 
5290 + 46 = 5_336
5336.   Answer :5336
Answer: D
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 2 ½ hours if they are walking in the same direction?	Choose the correct choice from the following answers.
A) 7 km	B) 6 km	C) 3 1/8 km	D) 9 km	E) 5 km

Solution: RS = 5 ¾ - 4 ½ = 1 ¼   T = 2 ½ h.   D = 5/4 * 5/2 = 25/8   = 3 1/8 km   Answer:3 1/8 km
Answer: C
Kelly and Jody packed boxes with books. If Jody packed 40% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?  Choose the correct choice from the following answers.
A) 1 to 6
B) 1 to 4
C) 2 to 5
D) 3 to 5
E) 3 to 2

Solution: Explanation:   If Jody packed 40% of the boxes then Kelly packed 60%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 60%/40%=3/2   Answer: Option 3 to 2
Answer: E
Three candidates contested an election and received 1136, 7636 and 14628 votes respectively. What percentage of the total votes did the winning candidate got?  Answers:
A) 55% B) 56% C) 62.5% D) 58% E) 59%

Solution: Total number of votes polled = (1136 + 7636 + 14628)= 
(1136 + 7636 + 14628) = 23_400
23400   So, Required percentage= 14628/23400 * 100 = 62.5%   ANSWER : 62.5%
Answer: C