MU-NLPC/Calc-aqua_rat huggingface dataset:
The equation x/y - 2/5 = 0 is equivalent to each of the following EXCEPT  Choose the most appropriate option: A) (x - y)/y = -3/5 B) (5x - 3y)/y = 21/5 C) (x + 3y)/y = 17/5 D) (x + y)/x = 7/2 E) x/y + 1 = 7/5

Solution: x/y - 2/5 = 0   5x=2y   x= 2/5 * y or y = 5/2 *x   plug in x or y depending on the equation. all expressions are true except for   B. (5x - 3y)/y = 21/5   where y=-21   B. (5x - 3y)/y = 21/5   ANSWER:(5x - 3y)/y = 21/5
Answer: B
A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 7:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time) Pick one
A) 3:00	B) 4:00	C) 5:00	D) 6:00	E) 7:00

Solution: 7:00 in evening in Chicago = 8:00 in evening in New York. So, the train was in Chicago 8:00 in the evening, New York time.   The trip took T=D/R=840/60= 
840/60 = 14
14 hours. Therefore, the train depart from New York at 8:00 - 14 hours= 6:00 in the morning, New York time.   Answer: 6:00.
Answer: D
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?  Choose one
A) 87  B) 92  C) 12  D) 10  E) 11

Solution: Explanation:   1 m2 ---- 1/2   ? ----- 600 => 1200 m2   4x * 3x = 1200 => x = 10   Answer: Option 10
Answer: D
In how many ways the letters of the word RAIXBON be arranged?
Choose the correct choice from the following options:
A) 4500	B) 5479	C) 6478	D) 5040	E) 7658

Solution: Total ways of arranging the letters = 7! = 5040 ways.   5040)
Answer: D
In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?	Choose the correct option.
A) 43.0 B) 45.5 C) 46.0 D) 49.0 E) 50.0

Solution: In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=43.0(43 +43 )/2= 
(43 +43 )/2 = 43
43.0
Answer: A
The average age 6 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?  Choose the correct choice:
A) 14 years  B) 17 years  C) 18 years  D) 12 years  E) 11 years

Solution: 6 * 2= 
6 * 2 = 12
12   Answer:12 years
Answer: D
How many 3-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
Choose the correct choice from the following.
A) 576  B) 3024  C) 4096  D) 4608  E) 6561

Solution: First digit.. 9 posibilities   Second digit, 8 possibilities   third digit, 8 possibilities     9*8*8= 
  9*8*8 = 576
576.   576
Answer: A
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?	Choose the correct choice from the following options:
A) 877m	B) 180m	C) 786m	D) 165m	E) 456m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer: 180m
Answer: B
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=  Select:
A) 6  B) 5  C) 4  D) 3  E) 2

Solution: Can be solved without much calculations.   You are given that (-2,-3) is the center of the circle. Point (5,-3) lies inside the circle ---> the radius is lesser than distance of (-2,-3) from (5,-3) ---> lesser than 7 units but the radius will also be greater than the distance of (-2,-3) from (-2,2) ----> greater than 5 units.   Thus the radius is >5 but <7and as it is an integer, the only possible value of radius = 6 units.   6 is the correct answer.
Answer: A
Mark and Cody invest in a business and each put in $12000. After 3 months, Cody withdraws half of his capital. How should they share the profits after 12 months?  Select the correct option
A) 10:7  B) 3:2  C) 8:5  D) 4:3  E) 11:8

Solution: Mark invests $12000 for 12 months, but Cody invests $12000 for the first 3 months and then withdraws $6000. So, the investment of Cody for remaining 9 months is $6000 only.   Mark:8:5ody   12000*12 : (12000*3) + (6000*9)   144000 : 90000   Mark:8:5ody = 8:5   Answer: 8:5
Answer: C
Sum of two numbers is 63. Their difference is 1/8 of their sum. their L.C.M is Choose the correct choice from the following choices
A) 231  B) 153  C) 351  D) 345  E) 355

Solution: Explanation:   Let the numbers be x and y   According to the problem   X + y = 63   x - y = 1/8 ( x+y)   x-y = 1/8 * 63, x-y = 9   2x = 72, x= 36 and y = 27   L.351.M of 36 and 27 is 351   Answer: Option 351
Answer: C
If x,p,q, and r are positive integers and (p)×(q)×(r)=x^2, which of the following could be the values of p,q, and r?  Select.
A) 3, 16, 25  B) 9, 25, 24  C) 2,16, 32  D) 2, 9, 16  E) 8, 16, 36

Solution: This is one of those questions where using the given options is fastest way to get the solution. We need to find a set where 3 numbers can be paired into 2 pairs of some numbers because we need a product which is a square number.   C fits the bill. 2*16*32 = 2*4*4*8*4 =4*4*8*8   ans 2,16, 32
Answer: C
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 10 more revolutions than gear P?
Pick
A) 10	B) 12	C) 15	D) 20	E) 25

Solution: Gear Q makes 30 more revolutions each 60 seconds.   The time to make 10 = 30/3 more revolutions is 60/3= 
60/3 = 20
20 seconds.   The answer is 20.
Answer: D
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?  Pick one.
A) 30
B) 40
C) 20
D) 50
E) 25

Solution: Let the present age of the husband = h   Present age of the wife = w   Present age of the child = c   3 years ago, average age of husband, wife and their child = 27   => Sum of age of husband, wife and their child before 3 years = 3 × 27 = 81   => (h-3) + (w-3) + (c-3) = 81   => h + w + c = 81 + 9= 
81 + 9 = 90
90 --- equation(1)   5 years ago, average age of wife and child= 20   => Sum of age of wife and child before 5 years = 2 × 20 = 40   => (w-5) + (c-5) = 40   => w + c = 40 + 10= 
40 + 10 = 50
50 --- equation(2)   Substituting equation(2) in equation(1)=> h + 50 = 90   => h = 90 - 50= 
90 - 50 = 40
40   i.e., Present age of the husband= 40   Answer is 40.
Answer: B
Factor: x4y3 â€“ 16y3	Choose one.
A) A) 3y3(x2 + 4)(x + 2)(x -2)
B) B) y3(x2 + 4)(x + 2)(x -2)
C) C) 3y3(x2 + 4)(x + 2)(x -3)
D) D) 3y3(x2 + 4)(x + 3)(x -2)
E) E) 3y3(x2 + 4)(x + 2)(x -4)

Solution: x4y3â€“ 16y3.   = y3(x4 â€“ 16).   = y3[(x2)2 - 42].   = y3(x2 + 4)(x2 - 4).   = y3(x2 + 4)(x2 - 22).   = y3(x2 + 4)(x + 2)(x -2).   Answer: (y3(x2 + 4)(x + 2)(x -2)) y3(x2 + 4)(x + 2)(x -2)
Answer: B
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Choose one.
A) 18 days  B) 11 days  C) 77 days  D) 188 days  E) 66 days

Solution: 8/12 + 6/x = 1   X = 18 days   18 daysnswer: 18 days
Answer: A
A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net invests of the first year?	Choose the correct choice from the following answers.
A) Rs. 3359 B) Rs. 2500 C) Rs. 4000 D) Rs. 3212.5 E) None

Solution: Solution: The total cost for the year = 250000+2% of 2500000+2000 = Rs. 257000.   For getting return of 15% he must earn = 257000*15/100 = Rs. 38550 per year.   Then, monthly rent = 38550/12 = Rs. 3212.5.   Answer: Option Rs. 3212.5
Answer: D
The average of 13 numbers is 14.8. If the average of the first seven numbers is 14.6 and that of the last seven numbers is 14.4,then the middle number is?
Choices.
A) 11.6 B) 12.6 C) 10.6 D) 9.6 E) 8.6

Solution: Middle number = 14.6*7 + 14.4*7- 14.8*13 = 102.2+100.8-192.4= 
102.2+100.8-192.4 = 10.6
10.6   Answer is 10.6
Answer: C
Of the 440 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:  Pick one.
A) 240 to 280	B) 230 to 260	C) 240 to 260	D) 200 to 260	E) 180 to 260

Solution: W=260   P=300   ALL=440   N(N180 to 260ITH180 to 260R)=AT L180 to 260AST 60   BOTH=?   W+P-BOTH+N=ALL   260+300-BOTH+60=440   BOTH=180   now pay attention to the fact, that both at most can be 260, since W=260   180 to 260
Answer: E
3/7 of a congregation are men while 11/21are women. What is the increase in percentage from ratio of men to ratio of women in the congregation?
Choose the correct choice from the following choices
A) A) 69%	B) B) 54%	C) C) 18.81%	D) D) 16%	E) E) 81.82%

Solution: Ratio of men: 3/7   Ratio of women: 11/21   percentage increase is (difference/initial quantity)*100   (3/7)/(11/21 )* 100= 81.82%   Correct options is 81.82%
Answer: E
If x is 20 percent more than y and y is 70 percent less than z, then x is what percent of z?	Choose the correct answer:
A) 500%
B) 250%
C) 500/3%
D) 36%
E) 60%

Solution: Z = 100 ; Y = 30 so X = 36   X as % of Z = 36/100 * 100= 
36/100 * 100 = 36
> 36%   Answer will be (36%)
Answer: D
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Choose the correct answer:
A) Rs.3601
B) Rs.3618
C) Rs.3600
D) Rs.3619
E) Rs.3610

Solution: Manager's monthly salary   = Rs. (1600 * 21 - 1500 * 20)   = Answer:Rs.3600
Answer: C
1/6 = 4/5 . which method did you use to determine whether this proportion is true or false?	Choose the correct choice from the following.
A) true
B) neutral
C) false
D) not sure
E) none

Solution: 1/6= 3/18. cross multiplication:   1 * 18= 
  1 * 18 = 18
18, 3 * 6= 18,   we see that 18 are not equal to 18. so there is proportion. corrcet answer: (true)
Answer: A
During a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? Choose the correct answer.
A) 180	B) 170	C) 156	D) 150	E) 100

Solution: We are first given that a team won 70 percent of its first 100 games. This means the team won 0.7 x 100 = 70 games out of its first 100 games.   We are next given that the team won 50 percent of its remaining games. If we use variable T to represent the total number of games in the season, then we can say T – 100 equals the number of remaining games in the season. Thus we can say:   0.5(T – 100) = number of wins for remaining games   0.5T – 50 = number of wins for remaining games   Lastly, we are given that team won 70 percent of all games played in the season. That is, they won 0.7T games in the entire season. With this we can set up the equation:   Number of first 100 games won + Number of games won for remaining games = Total Number of games won in the entire season   70 + 0.5T – 50 = 0.7T   20 = 0.2T   200 = 2T   100 = T   Answer is 100.
Answer: E
You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland).
What is highest number of apples you can get to Bananaville?  Choose the correct choice from the following.
A) 767 B) 833 C) 916 D) 1123 E) 907

Solution: Step one: First you want to make 3 trips of 1,000 apples 333 miles. You will be left with 2,001 apples and 667 miles to go.   Step two: Next you want to take 2 trips of 1,000 apples 500 miles. You will be left with 1,000 apples and 167 miles to go (you have to leave an apple behind).   Step three: Finally, you travel the last 167 miles with one load of 1,000 apples and are left with 833 apples in 833ananaville.
Answer: B
In how many different ways can 5 girls and 6 boys form a circle such that the boys and the girls alternate?
Choose the correct choice from the following choices:
A) 28800
B) 14000
C) 12000
D) 14400
E) None of these

Solution: Explanation :   In a circle, 6 boys can be arranged in 5! ways   Given that the boys and the girls alternate.   Hence there are 5 places for girls which can be arranged in 5! ways   Total number of ways = 5! x 5! = 24 x 120 = 14400. Answer : Option 14400
Answer: D
When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?	Choose the correct choice from the following answers
A) 74000  B) 75000  C) 76000  D) 77000  E) 78000

Solution: 90 : 63000 = 110 : x   x = (63000 x 110)/90 = 77,000.   Hence, S.P. = Rs. 77,000.   Answer: Option 77000
Answer: D
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Options.
A) 1278
B) 1200
C) 2887
D) 1688
E) 2768

Solution: l * 30 = 1200 è l = 40   40 + 30 + 50= 
40 + 30 + 50 = 120
120   120 * 10= 
120 * 10 = 1_200
1200   Answer: 1200
Answer: B
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices
A) 23/35  B) 23/38  C) 23/15  D) 22/35  E) 21/35

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green   = (6C1 * 9C1)/15C2 + 6C2/15C2   = (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7   = 46/70 = 23/35   23/35nswer: 23/35
Answer: A
In a bag, there are six 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?	Choose the correct choice from the following answers.
A) 42
B) 60
C) 61
D) 84
E) 960

Solution: As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but the possibilities are rather limited:   1) The minimum number on any given die is 1   2) The maximum possible sum would only occur if we took the 4 biggest possible dice and rolled the highest possible number on each.   With 4 dice, we could end up with any SUM between:   4 (if we rolled 1s on all 4 dice)   to   64 (if we rolled two 20s on the 20-sided dice and two 12s on the 12-sided dice).   Thus, there are only 61 possible sums.   61
Answer: C
Sandy is younger than Molly by 14 years. If their ages are in the respective ratio of 7:9, how old is Molly?	Choose the correct choice from the following options.
A) 36	B) 45	C) 54	D) 63	E) 72

Solution: S = M - 14   S / M = 7/9   9S = 7M   9(M-14) = 7M   M = 63   The answer is 63.
Answer: D
A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?  Choose the correct option: A) 7.59 B) 7.79 C) 7.99 D) 8.19 E) 8.39

Solution: distance = 17 km   time = 7/10 + 10/7 = (49 + 100) / 70 = 149 / 70 hours   average speed = (17 * 70) / 149 = 7.99 km/h   The answer is 7.99.
Answer: C
Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)	Select the correct option.
A) 1600
B) 3200
C) 800
D) 400
E) 200

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 80 accidents as 4 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 4,000 million rather than 4 billion. Creating a proportion we have:   100/80 = 4,000/x   Cross multiplying gives us:   100x = 4,000 * 80   x = 40 * 80= 
40 * 80 = 3_200
3200   Answer : 3200
Answer: B
In track last week, the boys ran sixteen laps. The girls ran four more
laps. Each lap is a quarter of a mile. How many miles did the girls run?  Choose the correct choice from the following answers
A) 3 miles B) 2 miles C) 5 miles D) 9 miles E) 7 miles

Solution: The girls ran 16 + 4= 
16 + 4 = 20
20 laps. 20 x ¼= 20/4, which reduces to 5.   The girls ran 5 miles   correct answer 5 miles
Answer: C
Two trains 140 m and 160 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 answers:  A) 10.7  B) 10.9  C) 10.2  D) 10.8  E) 18.8

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 + 160= 
140 + 160 = 300
300 m.   Required time= 300 * 9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   Answer:10.8
Answer: D
The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?  Options:
A) 56%	B) 68%	C) 75%	D) 85%	E) 95%

Solution: Let the volume of sphere PP be 64 parts.   Therefore volume of sphere QQ   =64−3764%=64−3764% of 6464   =64−37=27=64−37=27 parts.   The volume of RR   =27−1927×27=27−1927×27   =27−19=8=27−19=8 parts.   Volume ratio:   =P:Q:R=64:27:8=P:Q:R=64:27:8   Radius ratio:   =P:Q:R=4:3:2=P:Q:R=4:3:2   The surface area will be 16:9:516:9:5   Surface area of RR is less than the surface area of sphere PP   16k−4k=12k16k−4k=12k   Now,   =12k16k×100=12k16k×100   =75%=75%   Thus surface area of sphere RR is less than the surface area of sphere P by 75%   75%
Answer: C
On January 1, 2076, Lake Loser contains x liters of water. By Dec 31 of that same year, 2/7 of the x liters have evaporated. This pattern continues such that by the end of each subsequent year the lake has lost 2/7 of the water that it contained at the beginning of that year. During which year will the water in the lake be reduced to less than 1/4 of the original x liters?  Choose the most appropriate option:
A) 2077	B) 2078	C) 2079	D) 2080	E) 2081

Solution: The answer is D   here is the long explanation   This fraction problem contains anunspecifiedtotal (the x liters of water in the lake). Pick an easysmartnumber to make this problem easier. Usually, the smart number is the lowest common denominator of all the fractions in the problem. However, if you pick 28, you will quickly see that this yields some unwieldy computation.   The easiest number to work with in this problem is the number 4. Let's say there are 4 liters of water originally in the lake. The question then becomes: During which year is the lake reduced to less than 1 liter of water?   At the end of 2076, there are 4 × (5/7) or 20/7 liters of water in the lake. This is not less than 1.   At the end of 2077, there are (20/7) × (5/7) or 100/49 liters of water in the lake. This is not less than 1.   At the end of 2078, there are (100/49) × (5/7) or 500/343 liters of water in the lake. This is not less than 1.   At the end of 2079, there are (500/343) × (5/7) or 2500/2401 liters of water in the lake. This is not less than 1.   At the end of 2080, there are (2500/2401) × (5/7) or 12500/16807 liters of water in the lake. This is less than 1.   Notice that picking the number 4 is essential to minimizing the computation involved, since it is very easy to see when a fraction falls below 1 (when the numerator becomes less than the denominator.) The only moderately difficult computation involved is multiplying the denominator by 7 for each new year.   The correct answer is 2080.
Answer: D
In a group of 6 boys and 4 girls are to be selected. In how many different ways can they be selected such that at least one boy should be there ?  Pick one
A) 209 B) 200 C) 210 D) 225 E) 221

Solution: No of boys = 6   No of girls = 4   Therefore,   No of ways at least 1 boy can be selected = 6C4 * 4C0 + 6C3* 4C1 + 6C2*4C2 + 6C1 * 4C3   = 15 + 80 +90 + 24= 
15 + 80 +90 + 24 = 209
209   209ns - 209
Answer: A
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?  Choose the correct answer.
A) 1120 m2
B) 1250 m2
C) 1210 m2
D) 1200 m2
E) 1300 m2

Solution: π (232 – 122) = 1210   ANSWER:1210 m2
Answer: C
How many 4-digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?	Choose the correct choice from the following
A) 1236  B) 3024  C) 4096  D) 4608  E) 6561

Solution: First digit.. 9 posibilities   Second digit, 8 possibilities   third digit, 7 possibilities   Fourth digit, 6 possibilities.   9*8*7*6= 
9*8*7*6 = 3_024
3024.   3024
Answer: B
According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice?
Answers.
A) a) 45
B) b) 34
C) c) 50
D) d) 67
E) e) 100

Solution: Its A.   Total juice rquired = 360*6= 
360*6 = 2_160
2160 ounce   12 ounce concentate makes= 12 * 4= 
12 * 4 = 48
48 ounce juice   Total cans required= 2160/48= 
2160/48 = 45
45.   a) 45nswer a) 45
Answer: A
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 7 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill) Choose one.
A) 14/15
B) 15/14
C) 5/5
D) 5/4
E) Cannot be determined

Solution: Average Speed of Jack =Distance/ Time   = 42 /7= 
42 /7 = 6
6   Average Speed of Jill= 42/(4.2)= 
42/(4.2) = 10
10   Ratio of Average speed of Jack to Jill=6/10 = 3/5   Answer 5/5
Answer: C
If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square? Pick:
A) 5%  B) 20%  C) 50%  D) 100%  E) 120%

Solution: Let x be the original length of one side.   Then the original area is x^2.   The new square has sides of length sqrt(5)*x, so the area is 5x^2.   The area of the original square is 1/5 = 20% times the area of the new square.   The answer is 20%.
Answer: B
A sum of Rs. 12500 amounts to Rs. 16000 in 4 years at the rate of simple interest. What is the rate of interest?	Choose the correct answer.
A) 7%
B) 5%
C) 6%
D) 8%
E) 14%

Solution: S.I. = (16000 - 12500) = Rs. 3500/-   Rate = (100 * 3500) / (12500 * 4)= 
(100 * 3500) / (12500 * 4) = 7
7%   7%NSWER:7%
Answer: A
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?  Choices
A) 1600	B) 1602	C) 2768	D) 2686	E) 1297

Solution: Explanation:   Let Peter’s share be x.   Hence, David gets x/4 and Alex gets x/2.   x + x/4 + x/2 = 2800   7x/4 = 2800   x = Rs.1600   1600NSWER: 1600
Answer: A