MU-NLPC/Calc-aqua_rat huggingface dataset:
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 9 years more than twice the age of the son.Find the present age of the father.
Pick:
A) 88	B) 77	C) 30	D) 44	E) 55

Solution: Explanation:   Let the present age be 'x' years. Then father's present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+9 x=9 Hence father's present age = 3x+3 =[ (3 x 9) + 3] = 30 years.   Answer: 30
Answer: C
What is the remainder when 43^88 is divided by 5?  Choose the correct choice from the following.
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: The units digit of the exponents of 3 cycle in a group of 4: {3, 9, 7, 1}   88 has the form 4k so the units digit of 43^88 is 1.   The remainder when dividing by 5 is 1.   The answer is 1.
Answer: B
In order to obtain an income of Rs. 900 from 20% stock at Rs. 102, one must make an investment of Choose one: A) Rs.6000 B) Rs.4590 C) Rs.4560 D) Rs.4500 E) Rs.4570

Solution: Explanation :   Market Value = Rs. 102.   Required Income = Rs. 900.   Here face value is not given. Take face value as Rs.100 if it is not given in the question   To obtain Rs.20(ie,20% of the face value 100), investment = Rs.102   To obtain Rs.900, investment = 102/20Ã—900=Rs.4590   Answer : Option Rs.4590
Answer: B
How much water should be added to 10 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choose the correct choice from the following answers.
A) 25 liters B) 27 liters C) 30 liters D) 32 liters E) 35 liters

Solution: Let x ltr water to be added   2ltr alcohol to be represented as (20(1-3/4(new soln.=10+x)))   2=5%*(10+x)-------->x=30   ANSWER:30 liters
Answer: C
Seller selling an apple for Rs.15, a Seller loses 1/6th of what it costs him. The CP of the apple is?	Select the correct option.
A) 10  B) 12  C) 16  D) 18  E) 20

Solution: SP=15Loss=16P16Loss=16P−SP=16P−15⇒16P16=16P−15⇒15 16P16=15⇒16P16=1⇒16P=16   16
Answer: C
Car Dealership X, the total profit from sales increased by 9 percent over the previous years, while the number of cars sold decreased by 9 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.  Choose the correct answer:
A) 18%
B) 19.78%
C) 22%
D) 23%
E) 25%

Solution: Let Profit be x and cars sold be y   Originally Profit/Car = x/y   Now it is 1.09x / 0.91 y = 109/91 (x/y)   Increase in profit per car = ((18/91) (x/y)) / (x/y) * 100 = 19.78%   Answer = 19.78%
Answer: B
You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes.
How can you do it? Please note that you can’t break the rope in half as it is being clearly stated that the ropes are non-homogeneous in nature. Choose the correct option:
A) 25 minutes B) 35 minutes C) 45 minutes D) 55 minutes E) 65 minutes

Solution: Solution:   45 minutes   Explanation :   All you have to do is burn the first rope from both the ends and the second rope from one end only simultaneously. The first rope will burn in 30 minutes (half of an hour since we burned from both sides) while the other rope would have burnt half. At this moment, light the second rope from the other end as well. Where, the second rope would have taken half an hour more to burn completely, it will take just 15 minutes as we have lit it from the other end too.   Thus you have successfully calculated   30+15= 
  30+15 = 45
45 minutes with the help of the two given ropes.   Answer 45 minutes
Answer: C
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors W does the number 4x have?	Choose the most appropriate option.
A) 4y  B) 3y  C) 16y  D) 5y  E) Cannot be determined

Solution: I tried for x=2,4 and 6. The integral factors W for x and 4x did not have any specific relation.   My answer is Cannot be determined.
Answer: E
A trader bought a car at 30% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
Choose the correct choice from the following.
A) 7%	B) 62%	C) 12%	D) 19%	E) 5%

Solution: Original price = 100   CP = 70   S = 70*(150/100)= 
70*(150/100) = 105
105   100 - 105= 5%   Answer: 5%
Answer: E
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?
.  Choose the most appropriate option:	A) 1/3.	B) 1/2.	C) 2.	D) 3.	E) 6

Solution: Difference = Average   H - L = (H + L)/2,   Solving for H/L gives 3. A quick check, H be 15 and L be 5, 15 - 5 = (15 + 5 )/2   Answer is 3. : 3
Answer: D
Raviraj invested an amount of 10000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?  Choose the correct choice from the following answers
A) 12,310 B) 13,21000 C) 13,320 D) 13,120000 E) 13310000

Solution: Amount = 10000000(1 + 10⁄100)3   = 10000000 × 11⁄10 × 11⁄10 × 11⁄10   = 13310000   Answer 13310000
Answer: E
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?  Pick:
A) 8118 B) 8127 C) 8618 D) 9490 E) 8128

Solution: A = 7500(26/25)6   = 9490   Answer: 9490
Answer: D
A coin is tossed live times. What is the probability that there is at the least one tail? Choose one
A) 31/32	B) 15/46	C) 12/87	D) 45/96	E) 3/2

Solution: Explanation:   Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer:31/32
Answer: A
The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants? Choose the correct choice from the following:
A) 8
B) 16
C) 31
D) 18
E) 34

Solution: Minimum age = Average - 1 Standard deviation = 35 - 30= 
35 - 30 = 5
5   Maximum age= average + 1 Standard deviation = 35+ 30 = 35   Maximum number of different ages of the applicants = 35- 5 + 1= 
35- 5 + 1 = 31
31   Answer 31
Answer: C
Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age	Choose one.
A) 12,28
B) 14,30
C) 16,32
D) 18,34
E) None of these

Solution: Explanation:   Let the age of younger person is x,   Then elder person age is (x+16)   => 3(x-6) = (x+16-6) [6 years before]   => 3x-18 = x+10   => x = 14.   So other person age is x + 16 = 30   Option 14,30
Answer: B
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 25:144 and BC=13 cm, then find the length of DE.
Options.
A) 12  B) 5  C) 14  D) 11  E) 15

Solution: ABC and ADE are similar triangles.   So (side of A5C/side of ADE)^2=169/25   side of A5C/side of ADE = 13/5   So the length of DE = 5   Answer - 5
Answer: B
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?	Select
A) 4  B) 5  C) 6  D) 7  E) 9

Solution: SI = 20 + 20   CI = 20 + 21   20 ---- 1   100 ---- ? => 5%   Answer: 5
Answer: B
A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 660-mile journey? Assume that the train makes no intermediate stops.	Choose the correct choice from the following:
A) 8
B) 8.5
C) 11
D) 9.5
E) 10

Solution: A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 660-mile journey? Assume that the train makes no intermediate stops.   I think the easiest way to solve this problem would be simply to count the number of miles it travels per hour (and in total)   Hour miles/hour Total miles   1 10 10   2 20 30   3 30 60   4 40 100   5 50 150   6 60 210   7 70 280   8 80 360   9 90 450   10 100 550   11 110 660   It takes a total of nine hours to cover the 660 mile distance.   ANSWER: C. 11
Answer: C
Find the odd man out. 2, 3, 5, 9, 12, 17, 23  Choose the correct choice.
A) 12 B) 9 C) 23 D) 2 E) 1

Solution: Explanation :   2   2 + 1= 
2 + 1 = 3
3   3 + 2= 
3 + 2 = 5
5   5 + 3= 
5 + 3 = 8
8   8 + 4= 
8 + 4 = 12
12   12 + 5= 
12 + 5 = 17
17   17 + 6= 
17 + 6 = 23
23   ie, 8 should have come in place of 9. Answer : Option 9
Answer: B
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?	Choose the most appropriate option.
A) 50%  B) 53%  C) 54%  D) 55%  E) 57%

Solution: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.   60*0.75= 
60*0.75 = 45
45 Democrats are expected to vote for Candidate A;   40*0.30= 
40*0.30 = 12
12 Republicans are expected to vote for Candidate A.   Thus total of   45+12= 
  45+12 = 57
57 registered voters are expected to vote for Candidate A, which is 57% of the total number of registered voters.   Answer: 57%.
Answer: E
What annual installment will discharge a debt of $100 due in 3 years at 10% simple interest?
Pick one.
A) 25.6	B) 50.2	C) 30.3	D) 45	E) 56

Solution: Let each installment be x   [x + (x*10*1/100)] + [x + (x*10*2/100)] + x = 100   11x/10 + 12x/10 + x = 100   x = 30.3   Answer is 30.3
Answer: C
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choose the correct option:
A) 17/26  B) 17/25  C) 17/21  D) 17/20  E) 14/21

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20   Answer:17/20
Answer: D
Rs.8000 become Rs.9159.20 in a certain interval of time at the rate of 7% per annum of C.I. Find the time?
Answers:
A) 6 years  B) 8 years  C) 9 years  D) 3 years  E) 2 years

Solution: 9159.20 = 8000(61/57)N   (61/57)^2 = (61/57)N => N = 2   At the end of three years what will be the comp.Answer: 2 years
Answer: E
A Glee club of 20 members is performing two songs for the school talent show. 50% of its members are part of the first one, and 60% are performing in the second one. How many Glee club members are performing in both songs at the talent show?	Choose the correct option
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: The total number of Glee club members is n=20.   The number of members performing the first song is 50% of it, thus   n (A)=50/100×20=10.   The number of members performing in the second one is 60%, thus   n (B)=60/100×20=12.   In order to calculate the number of Glee club members performing in both songs we can use the following equation:   n (AnB)=n (A)+n (B) -n =10+12-20=22-20= 
22-20 = 2
2.   ANSWER: 2
Answer: C
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choose the most appropriate option.
A) 338
B) 267
C) 877
D) 300
E) 911

Solution: Let the distance travelled be x km.   Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300 = 11 => x   = 300 km   Answer:300
Answer: D
Two trains 50 m and 120 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?	Answers:	A) 10.9 sec	B) 14.8 sec	C) 6.12 sec	D) 10.8 sec	E) 20.8 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 = 50 + 120= 
50 + 120 = 170
170 m.   Required time= 170 * 9/250= 
170 * 9/250 = 153/25 = around 6.12
6.12= 6.12 sec.   Answer: 6.12 sec
Answer: C
A supplier undertakes to supply 2000 pieces of a particular item at Rs. 25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out. 50% of the items were rejected. what is the loss to the supplier?  Choose one:
A) Rs.12000	B) Rs.13000	C) Rs.14000	D) Rs.15000	E) None of these

Solution: Explanation :   Solution: Total cost incurred = Rs. [100/125 * 25* (95% of 2000)]   = Rs. (100/125 * 25 *1900) = Rs. 38000.   Loss of the supplier = Rs. [38000-(25*1000)] = Rs. 13,000.   Answer : Rs.13000
Answer: B
The average of first 15 even numbers is? Choose one.
A) 10
B) 11
C) 12
D) 16
E) 14

Solution: Sum of 15 even numbers = 15 * 16= 
15 * 16 = 240
240   Average= 240/15= 
240/15 = 16
16   ANSWER:16
Answer: D
An ant walks an average of 600 meters in 10 minutes. A beetle walks 25% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
Choose the correct choice from the following answers:
A) 2.215.  B) 2.5.  C) 2.6  D) 2.7  E) 3.5.

Solution: the ant walks an average of 600 meters in 10 minutes   600 meters in 5/30 hours   the beetle walks 25% less distance = 600-150= 
600-150 = 450
450 meters in 10 minutes   0.450 km in 5/30= 5/30 hours   speed = 0.450*30/5= 
0.450*30/5 = 2.7
2.7 km/h   I guess option 2.7 should be 2.7
Answer: D
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?  Pick one:
A) 50	B) 54	C) 176	D) 180	E) 100

Solution: 25x + 46 = 26(x â€“ 5)   x = 176   ANSWER 176
Answer: C
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out 3 socks, how many different color combinations are possible in the selected pair of socks? Choose the correct choice from the following answers.
A) 12	B) 15	C) 21	D) 35	E) 42

Solution: Since here order of socks is not important then we'll have 7C3 i.e. 35 combinations.   Answer : 35
Answer: D
If Leon's income is Rs 16000, calculate his savings given that his income and expenditure are in the ratio 8:3.? Choose the correct choice from the following choices:
A) Rs.10000
B) Rs.7000
C) Rs.2500
D) Rs.2450
E) Rs.3000

Solution: Let the income and the expenditure of the person be Rs.8x and Rs.3x respectively.   Income, 8x = 16000 => x = 2000   Savings = Income - expenditure = 8x - 3x = 5x   So, savings 8  - 3= 
8  - 3 = 5
5x   So, savings= Rs.10000   Rs.10000nswer: Rs.10000
Answer: A
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 14^a and y = 9^b, which of the following is a possible units digit of xy?  Choose the most appropriate option: A) 1 B) 6 C) 5 D) 7 E) 8

Solution: Only Units digit of X and Y contribute to the Units digit of XY.   Finding all values ofXfor positive values ofa   When,   a=1; X=14   a=2; X=196   a=3; X=2744........ Units digit repeat in a cycle of 4,6,4,6......   Similarly, Finding all values ofYfor positive values ofb   When,   b=1; Y=9   b=2; Y= 81   b=3; Y= 729....... Units digit repeat in cycle of 9,1,9,1....   So, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y   When X=4 and Y=9: Units digit of XY = 6   When X=4 and Y=1: Units digit of XY = 4   When X=6 and Y=9: Units digit of XY = 4   When X=6 and Y=1: Units digit of XY = 6   Only two possibilities for Units digit of XY i.e. 4 and 6.   Only 6 is given in answer choices, therefore answer is 6
Answer: B
-20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 7 greater than the preceding term. Which of the following could not be a term in the sequence?  Choose one
A) 0
B) 200
C) 455
D) 665
E) 763

Solution: Ans : 200   Since 200 is not divisible by 7 , all the other options are divisible by 7
Answer: B
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 13 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Pick one.
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: The class borrowed a total of 40*2= 
40*2 = 80
80 books.   The 27 students who borrowed 0, 1, or 2 books borrowed a total of 12 + 13*2= 
12 + 13*2 = 38
38.   To maximize the number of books borrowed by 1 student, let's assume that 12 students borrowed 3 books and 1 student borrowed the rest.   80 - 38 - 3*12= 
80 - 38 - 3*12 = 6
6   The maximum number of books borrowed by any student is 6.   The answer is 6.
Answer: D
In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?	Choose the correct answer
A) 11/10
B) 1/55
C) 31/10
D) 3/55
E) 1/16

Solution: Total number of ways to pick 3 flowers out of 12 = 12c3   12c3=12!/9!∗3!=220   Total number of favorable outcomes = 4   (Only 3 flowers per colour, so there is only one way all three flowers of any particular colour can be chosen. 4 colours mean 4 favorable outcomes)   Probability = 4/220=1/55   Answer: 1/55
Answer: B
The cost of an article is decreased by 20%. If the original cost is $120, find the decrease cost.	Choose the correct choice from the following answers.
A) 33  B) 11  C) 96  D) 36  E) 91

Solution: Original cost = $120   Decrease in it = 20% of $120   = 20/100 Ã— 120   = 2400/100= 
2400/100 = 24
$24   Therefore, decrease cost= $120 - $24 = $96   Answer:96120 -  24= 
120 -  24 = 96
$96   Answer:96
Answer: C
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 12 years and that of the other 9 students is 16 years. The age of the 15th student is? Choices:
A) 11 years
B) 17 years
C) 21 years
D) 14 years
E) 12 years

Solution: Age of the 15th student   =[15 * 15 - (12 * 5 + 16 * 9)]   = (225 - 204)= 
(225 - 204) = 21
21 years.   Answer:21 years
Answer: C
2 gears one with 12 teeth and other one with 15 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact for the first time?  Choose the correct choice from the following choices:
A) 5  B) 12  C) 48  D) 60  E) 120

Solution: Assume that the distance b/w gears be 1cm.   Then the circumference of 1st gear is 12cm and 2nd gear is 15cm.   So.   The LCM of 12 and 15 is 60.   So,   1st gear has rotate  60/12= 
 60/12 = 5
5(Smaller Gear)   2nd gear has rotate  60/15= 
 60/15 = 4
4(Bigger Gear)   So,   The answer is 5.   5NSWER:5
Answer: A
The radius of a cylinder is 9 m, height 12 m. The volume of the cylinder is:  Select the correct option
A) 2200	B) 5500	C) 3054.9	D) 1100	E) 4400

Solution: 3054.9ylinder volume = Ï€r(power2)h   = 22/7 Ã— 9 Ã— 9 Ã— 12   = 3054.9 m(power3)   Answer is 3054.9.
Answer: C
A baseball team won 40 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
Pick one:
A) 36
B) 45
C) 49
D) 55
E) 81

Solution: Games won out of first 80 questions = (40/100)*80= 
(40/100)*80 = 32
32   Total Games= 80+82= 
80+82 = 162
162   Games to be won= (50/100)*162= 
(50/100)*162 = 81
81   Remaining games to be won= 81-32= 
81-32 = 49
49   Answer: Option 49
Answer: C
If there are 9 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Choose the most appropriate option
A) 632  B) 672  C) 756  D) 744  E) 740

Solution: Firstly, there are 9 ways to choose 3 groups from the 4 groups. Hence 9C3.   Next, with the 3 groups chosen, there are 2^3 choices of choosing either one of the siblings.   Hence, the total number of ways are 9C3 * (2^3) = 672   672
Answer: B
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 14 percent sugar by weight. The second solution was what percent sugar by weight? Choose the correct choice from the following choices:	A) 74%	B) 64%	C) 42%	D) 28%	E) 26%

Solution: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.1+1/4*x=1*0.14 --> x=0.26. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.1+25*x=100*0.14 --> x=0.26.   Answer: 26%.
Answer: E
A number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?  Select the correct option
A) 25/9	B) 7/3	C) 5/3	D) 3/5	E) 9/25

Solution: sqrt(7x/3) to be perfect square x has to 7/3   Ans: 7/3
Answer: B
If 4 boys can color 48 m long cloth in 2 days, then 6 boys can color 36 m long cloth in  Choose the correct choice from the following answers
A) 1 day B) 2 days C) 3 days D) 4 days E) 5 days

Solution: The length of cloth painted by one boy in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 boys = 36/ 6 × 6 = 1 day.   1 day)
Answer: A
If a sum of money doubles itself in 25 years at simple interest, the ratepercent per annum is Pick
A) 12
B) 12.5
C) 13
D) 13.5
E) 4

Solution: 4xplanation:   Let sum = x then Simple Interest = x   Rate = (100 * x) / (x * 25) = 4   Option 4
Answer: E
In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?  Choose the correct choice from the following options:  A) 1/3  B) 4/9  C) 5/9  D) 2/3  E) 3/4

Solution: In Hockey game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:   P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.   Answer: 5/9.
Answer: C
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 20% of the original number. What percent of the red candies remain?  Choose the correct choice from the following options
A) 5% B) 7.5% C) 10% D) 12.5% E) 15%

Solution: Let x be the original number of each color.   Kaz eats all of the green candies and half of the orange ones.   There are 0 green candies and 0.5x orange candies remaining.   He eats half of the remaining pieces of each color.   There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.   He eats red and yellow candies in equal proportions.   orange+blue+red+yellow = 0.75x + red + yellow = x   red + yellow = 0.25x   red = 0.125x, since red = yellow.   The answer is 12.5%.
Answer: D
Find the perimetri of trapezium with sides 4,6,12 and distance between two parallel side is 3. Choose the correct answer
A) 27  B) 26  C) 28  D) 25  E) 24

Solution: 1/2*(6+12)*3= 
1/2*(6+12)*3 = 27
27   27NSWER:27
Answer: A
A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Choose one:
A) 21 B) 28 C) 34 D) 32 E) 76

Solution: Required number of trees   = 24/36 * 42= 
24/36 * 42 = 28
28.   Answer:28
Answer: B