MU-NLPC/Calc-aqua_rat huggingface dataset:
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then JUMP?	Choose the correct choice from the following answers:
A) 200	B) 210	C) 220	D) 230	E) 240

Solution: GOOD=(7+15+15+4)*4= 
(7+15+15+4)*4 = 164
164   BAD= (2+1+4)*3= 
(2+1+4)*3 = 21
21   UGLY= (21+7+12+25)*4= 
(21+7+12+25)*4 = 260
260   coding follows   (sum of position of alphabets)*(no. of letters in the given word)   so,   JUMP=(10+21+13+16)*4= 
(10+21+13+16)*4 = 240
240   ANSW240R:240
Answer: E
A drought decreased the amount of water in city X’s reservoirs from 118 million gallons to 96 million gallons. If the reservoirs were at 79 percent of total capacity before the drought began, approximately how many million gallons were the reservoirs below total capacity after the drought? Choose the correct option:
A) 67  B) 58  C) 54  D) 46  E) 32

Solution: let T be the total capacity of the reservoir.   Now we can equate before cases i.e 79/100(T) = 118.   Lets take approximate values for easy calculation 80/100(T) = 120 => T = 150 MG.   We need to subtract total - after drought case = 150 - 96= 
150 - 96 = 54
54 MG..   Option 54 is correct answer...
Answer: C
Evaluate : 986 x 237 + 986 x 863	Pick:	A) 986000	B) 968000	C) 978000	D) 987000	E) None of them

Solution: 986 x 137 + 986 x 863 = 986 x (137 + 863) = 986 x 1000 = 986000.   986000nswer is 986000.
Answer: A
The class mean score on a test was 50, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?	Choose the correct choice from the following options:
A) 20
B) 31
C) 45
D) 90
E) 89

Solution: 1SD from the mean ranges from 35 to 65, where 65 is within SD above the mean and 35 within 1SD below the mean   2SD=15 TWICE=30 from the the mean, which is 80 to 20, where 80 is within 2 SD above the mean AND 20 is within 2 SD below the mean.   20nswer = 20
Answer: A
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8100. If his salary for the month of May is Rs.6500, find his salary for the month of January? Choose the correct choice from the following:
A) 2177
B) 2876
C) 4500
D) 2981
E) 6100

Solution: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8100= 
4 * 8100 = 32_400
32400 ----(2)   (2)-(1) i.e. May - Jan= 400   Salary of May is Rs.6500   Salary of January = Rs.6100.Answer: 6100
Answer: E
In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks Z are made of cotton?  Choose the correct option
A) 100
B) 80
C) 60
D) 50
E) 25

Solution: I'll prefer to solve this with plug n play method.   As we know, White Cotton socks are only 25% and Total Cotton socks is 60% - Hence Black Cotton socks Z has to be [highlight]HIGH[/highlight]number. Thats why we've to pick high number... say 100 or 80.   100 fits perfectly after relevant calculations. Hence answer 100.
Answer: A
A certain junior class has 3000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
Answers.
A) 1/40000	B) 1/3600	C) 9/2000	D) 1/60	E) 1/15

Solution: Let's see   Pick 60/3000 first   Then we can only pick 1 other pair from the 800   So total will be 60 / 800 *3000   Simplify and you get 1/40000   1/40000nswer is 1/40000
Answer: A
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 630,000 different outfits, then for how many garments does Dave have exactly five choices? Answers.
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: 630,000 = 63*10,000 = 63*5^4*2^4   Dave has exactly 5 choices for four garments.   The answer is 4.
Answer: E
A sum amounts to Rs.4410 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
Select:
A) Rs.4000
B) Rs.5000
C) Rs.4500
D) Rs.4800
E) Rs.5800

Solution: CI=4410,R=5,N=2   CI=P[1+R/100]^2   =P[1+5/100]^2   4410=P[21/20]^2   4410[20/21]^2   4000   Rs.4000NSWER:Rs.4000
Answer: A
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Choose the correct choice.
A) 1/3
B) 2/3
C) 2/5
D) 3/5
E) 4/5

Solution: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.   Let x ml be the amount removed ---> total alcohol left = 4-0.4x   New quantity of whiskey added = x ml out of which 0.19 is the alcohol.   Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.   Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 2/3.   Hence, 2/3 is the correct answer.
Answer: B
In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?  Choose the correct option.
A) 3:16.	B) 2:3.	C) 5:3.	D) 3:4.	E) 2:5.

Solution: 1st statement : ratio of pants   Store A : Store B   50x : 40x   5X:4X   Price :   4y:3y   Total revenue   20xy : 12xy   5:3   Answer is 5:3.
Answer: C
The side of a cube is 15 m, find it's surface area?	Choose the correct choice from the following answers:	A) 1350	B) 1750	C) 1150	D) 1450	E) 1570

Solution: Surface area = 6 a(power)2 sq. units   6 a(power)2 = 6 × 225 = 1350 m(power)2   1350nswer is 1350.
Answer: A
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?	Choose the correct option.
A) 784
B) 365
C) 452
D) 251
E) 756

Solution: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).   Required number of ways	= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)   = (525 + 210 + 21)= 
(525 + 210 + 21) = 756
756   Ans: 756
Answer: E
A train 220 m long is running with a speed of 59 kmph.. In what will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going  Select the correct option.
A) 8 sec B) 10 sec C) 12 sec D) 14 sec E) 15 sec

Solution: Explanation:   Speed of the train relative to man = (59 + 7)= 
(59 + 7) = 66
66 ×5/18 m/sec= 55/3 m/sec.   Time taken by the train to cross the man = Time taken by it to cover 220 m   at (55/3) m / sec = (220 ×3/55) sec = 12 sec   Answer: Option 12 sec
Answer: C
A train 500m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?	Choose the correct choice from the following options
A) 175kmph  B) 150kmph  C) 162kmph  D) 145kmph  E) 100kmph

Solution: Let the speed of the train be x kmph   Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec   500/[(x+5)*5/18] = 10   10(x+5) = 1800   x = 175kmph   175kmphnswer is 175kmph
Answer: A
The average age of applicants for a new job is 20, with a standard deviation of 8. 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 answer: A) 8 B) 16 C) 17 D) 18 E) 34

Solution: Minimum age = Average - 1 Standard deviation = 20 - 8= 
20 - 8 = 12
12   Maximum age= average + 1 Standard deviation = 20+ 8= 
20+ 8 = 28
28   Maximum number of different ages of the applicants= 28 - 12 + 1= 
28 - 12 + 1 = 17
17   Answer 17
Answer: C
A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning? Choose the correct answer: A) 39 B) 35 C) 42 D) 40.5 E) 41.5

Solution: let the average after 16th inning =x   then total run after 16th inning=16x   then total run after 17th inning=16x+87   then average run after 17th inning=(16x+87)/17   (16x+87)/17=x+3;   x=36;   average after 17th inning =36+3= 
36+3 = 39
39   39NSWER:39
Answer: A
Set S consists of integers {8, 11, 12, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 25%. What is the value of integer n?  Select.
A) 28 B) 32 C) 36 D) 40 E) 44

Solution: The average of the numbers in set S is 12.   If we increase the mean by 25%, the new mean is 15.   Thus, on average, 5 numbers increase by 5.   Therefore n = 15+25= 
15+25 = 40
40   The answer is 40.
Answer: D
There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?
Choose the correct answer:
A) 360
B) 500
C) 420
D) 720
E) 840

Solution: number of ways =6! = 720   Answer is 720
Answer: D
The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area? Choose the correct choice:
A) 228
B) 148
C) 992
D) 772
E) 222

Solution: 2(4*5 + 5*6 + 4*6) = 148   Answer: 148
Answer: B
Find the sum of first 32 natural numbers  Answers:	A) 470	B) 468	C) 465	D) 463	E) 528

Solution: 528xplanation:   Sum of n natural numbers   =n(n+1)/2   =32(32+1)/2=32(33)/2=528   Answer: Option 528
Answer: E
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 30 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
Choose the correct choice from the following options:
A) 89
B) 90
C) 92
D) 99
E) 96

Solution: The average score in an examination of 10 students of a class is 60 --> the total score = 10*60= 
10*60 = 600
600;   The 5 smallest scores have an average of 55 --> the total score of the 5 smallest scores= 275.   From above, the total score of the 5 largest scores = 600 - 275= 
600 - 275 = 325
325.   Say the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 55 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:   a + b + c + d + e= 55 + 56 +57 + 58 + e = 325;   e = 99.   Answer: 99.
Answer: D
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?	Choose the correct choice from the following options
A) 90 matches	B) 95 matches	C) 99 matches	D) 85 matches	E) 87 matches

Solution: D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were played.
Answer: D
The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 100 meters?  Select the correct option
A) 14
B) 16
C) 18
D) 20
E) 22

Solution: The speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 km/hr   18 km/hr * 5/18= 5 m/s   The time taken to cover 100 meters = 100/5= 
100/5 = 20
20 seconds.   The answer is 20.
Answer: D
In a sports club with 30 members, 17 play badminton and 18 play tennis and 2 do not play either. How many members play both badminton and tennis?	Choose the correct choice from the following answers:
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (17-x)+(18-x)+x+2=30   37-2x+x=30   37-x=30   x=7   So 7 members play both badminton and tennis.   7
Answer: A
The positive value of x that satisfies the equation (1 + 2x)^3 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?  Choose the correct answer.
A) 0 and 0.5 B) 0.5 and 1 C) 1 and 1.5 D) 1.5 and 2 E) 2 and 2.5

Solution: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).   Try x=1 --> LHS=3^5=81*3= 
81*3 = 243
243 and RHS=4^4=64*4= 
64*4 = 256
256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5= (1 + 3x)^4 is slightly more than 1.   Answer: 0.5 and 1.
Answer: B
When positive integer A is divided by positive integer B, the result is 9.44. Which of the following could be the integer B is ?  Choose the correct choice from the following answers:	A) 11	B) 44	C) 24	D) 25	E) 22

Solution: the remainder will be obtained from the decimal part when A is divided by B i.e. 0.44   0.44 = 44/100 = 11/25 so possible remainders are 11,22,33,44.   Only option A-11 satisfies this   for remainder 11,   A=236 and B=25   Ans - 25
Answer: D
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.3600. How much third person will get?
Choose the correct choice from the following answers:
A) 2400	B) 1600	C) 2980	D) 2707	E) 2872

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 3600= 
4/9 * 3600 = 1_600
1600   Answer:1600
Answer: B
If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?  Pick one:
A) 5
B) 10
C) 15
D) 20
E) 0

Solution: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2= 
10 * 2 = 20
20   Answer: 20
Answer: D
A company that ships boxes to a total of 15 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Choose the correct answer:
A) 8
B) 7
C) 6
D) 5
E) 9

Solution: Back-solving is the best way to solve this problem.   You basically need 12 combinations (including single colors)   If we start from option 1->   1=> 4C2 + 4 = 10 (Not enough)   2=> 5C2 + 5 = 15 (Enough)   Since the minimum number is asked. It should be 5.   Answer - 5
Answer: D
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choose one.
A) Rs.140  B) Rs.120  C) Rs.130  D) Rs.110  E) None of these.

Solution: When compounded annually, interest   = 12000[1 + 20/100]1 - 12000 = Rs.2400   When compounded semi-annually, interest   = 12000[1 + 10/100]2 - 12000 = Rs.2520   Required difference = 2520 - 2400 = Rs.120   ANSWER:Rs.120
Answer: B
If the probability E of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period? Choose the most appropriate option:
A) 8/125
B) 2/25
C) 5/16
D) 8/25
E) 3/4

Solution: 55/163 (1/2)^3(1/2)^2   = (5 * 4 * 3!)/2!3! * 1/32   E= 5/16   Answer - 5/16
Answer: C
If a young child was 16 months old one year ago, how old was the child, in months, x months ago?	Choose the most appropriate option.
A) x − 28  B) x − 12  C) 16 − x  D) 24 − x  E) 28 − x

Solution: The child's age today is 16 months + 12 months = 28 months   x months ago, the child's age was (28 - x) months old.   The answer is 28 − x.
Answer: E
The sector of a circle has radius of 28 cm and central angle 90o. Find its perimeter? Pick one.
A) 100 cm	B) 85 cm	C) 75 cm	D) 95 cm	E) 110 cm

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (90/360 * 2 * 22/7 * 21) + 2(28)   = 44 + 56= 
44 + 56 = 100
100 cm   100 cmnswer: 100 cm
Answer: A
how many internal diagonals does a nonagon (nine sided polygon) have?
Pick one
A) 25	B) 27	C) 40	D) 56	E) 80

Solution: Number of diagonals in any polygon can be found using this formula: n(n-3)/2   Here n = 9   No. of diagonals = 9(9 - 3)/2   = 27   Ans 27
Answer: B
Students in Class I, II and III of a school are in the ratio of 3 : 5 : 8. Had 15 more students admitted to each class, the ratio would have become 6 : 8 : 11. How many total students were there in the beginning?	Choose the correct choice from the following choices.
A) 112  B) 64  C) 96  D) 80  E) None

Solution: Explanation:   Increase in ratio for 3 classes is 6 - 3 = 8 - 5 = 11 - 8= 
11 - 8 = 3
3.   Given, 15 more students are admitted to each class.   Therefore, 3 :: 15 ⇒ 1 :: 5   Therefore, 3 + 5 + 8= 16 :: 16 x 5 = 80.   Hence, total students in the beginning were 80.   Correct Option: 80
Answer: D
A voltmeter is used:  Choose the correct answer
A) 22
B) 266
C) 27
D) 26
E) 81

Solution: Explanation:   Answer: Option 27
Answer: C
Of the three-digit integers greater than 900, how many have two digits that are equal to each other and the remaining digit different from the other two?  Choose the most appropriate option:
A) 90	B) 82	C) 80	D) 45	E) 36

Solution: Let the three digit number be represented as X Y Z.   There are 3 cases:   Case I.[ X=Y ]Z is not equal to XY :XXZorYYZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Y can be chosen in 1 way   After XY are chosen, Z can be chosen in 9 ways   Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(1)   [example numbers: 774,779,882,993 etc]   Case II.[ X=Z ]Y is not equal to XZ:XYXorZYZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Z can be chosen in 1 way   After XZ are chosen, Z can be chosen in 9 ways   Thus, possible No of digits = (3 ways) * (9 ways) * (1 way) = 27 ....(2)   [example numbers: 747,797,828,939 etc]   Case III.[ Y =Z ]X is not equal to YZ :XYYorXZZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Y can be chosen in 9 ways   After Y is chosen, Z can have 1 way   Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(3)   [example numbers: 744,799,822,933 etc]   Therefore, total numbers of possible digits [sum of Case (1), (2)(3) above] = 27 + 27 + 27 - 1= 
27 + 27 + 27 - 1 = 80
80   One digit is subtracted from total number of possible digits to eliminate one possibility of XYZ= 700 to satisfy the condition that digit > 900.   90nswer:(90)
Answer: A
0, 6, 18, 36, 60, 90, ?What number should replace the question mark?
Choose the correct option.
A) 126
B) 120
C) 119
D) 126
E) 147

Solution: 126 126add 6, 12,18,24,.....
Answer: A
In how many ways can 7 boys be seated in a circular order?  Choose the correct choice:
A) 120	B) 360	C) 420	D) 720	E) 480

Solution: Number of arrangements possible = (7-1)= 
(7-1) = 6
6!= 6*5*4*3*2*1= 
6*5*4*3*2*1 = 720
720   Ans -720
Answer: D
A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?  Answers.
A) 4991
B) 4992
C) 2777
D) 2977
E) 2781

Solution: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs.[(6500 x 6) - 34009]   = Rs. (39000 - 34009)   = Rs. 4991.   4991nswer: 4991
Answer: A
A and B started a business investing Rs. 10,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively? Choose the correct choice from the following choices.
A) 3:2
B) 9:2
C) 18:20
D) 1:2
E) 18:4

Solution: A: B = 10000 : 20000 = 1 : 2   ANSWER:1:2
Answer: D
There is a circular table. It has 60 chairs. Drakula came and sit on a chair beside another person. What is the minimum no. of person will be so, that wherever he sits he always gets to sit beside a person  Pick one
A) 30 B) 20 C) 15 D) 10 E) 5

Solution: if total seats N = 5 in a circular arrangement ( _ _ M _ _ M ) where first ( _ ) is connected with last Man(M), then min no of persons required= 2.   similarly If N = 9, Man required = 3 i.e,( _ _ M _ _ M _ _ M )   If N= 12, Man required = 4 i.e, ( _ _ M _ _ M _ _ M _ _ M)   have u got any relation??   the no of man required is = Total no of seats in circle / 3   So, A/Q total seat = 60. Man required = 60/3= 
60/3 = 20
20   ANSWER:20
Answer: B
An employer pays Rs.20 for each day a worker works and for felts Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal?
Options
A) 10	B) 40	C) 30	D) 20	E) 50

Solution: Suppose a worker remained ideal for x days then he worked for 60-x days   20*(60-x)-3x=280   1200-23x=280   23x=920   x=40   Answer is 40.
Answer: B
If a and b are the two values of t that satisfy
the equation t2 – 6t + 8 = 0, with a > b, what is the value of a – b?  Choose the correct option
A) 2
B) 4
C) 6
D) 8
E) 10

Solution: Factor the left side of the equation:   t2 – 6t + 8 = 0   (t – 2)(t – 4) = 0   Split this equation into two equations and solve:   t – 2 = 0 t – 4 = 0   t = 2 t = 4   Thus, a = 4 and b = 2. So a – b = 4 – 2 = 2.   correct answer 2)2
Answer: A
A and B can do a piece of work in 11 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?  Answers.
A) 15.5 days B) 19.5 days C) 17.5 days D) 9.2 days E) 18.5 days

Solution: C = 1/5 – 1/11 = 6/55 => 9.2 days   ANSWER:9.2 days
Answer: D
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct choice from the following options:
A) Rs. 15
B) Rs. 12.10
C) Rs. 19.70
D) Rs. 16.80
E) None of these

Solution: Explanation :   Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25 − (30/100) − x)(6/100) = 30/100   ⇒ 6(25 − 0.3 − x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   Answer : Option Rs. 19.70
Answer: C
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three boys?
Options:  A) 384  B) 826  C) 240  D) 269  E) 208

Solution: Average mark scored by all the three boys =   [64/100 (500) + 36/100 (500) + 44/100 (500)] / 3   = 240   Answer: 240
Answer: C
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 22 miles, how many miles was Mike's ride?  Answers.
A) 30
B) 36
C) 42
D) 48
E) 54

Solution: The cost of Annie's ride was 2.5+5+(0.25*22)= 
2.5+5+(0.25*22) = 13
$13   Let x be the distance of Mike's ride.   The cost of Mike's ride is 2.5+(0.25*x)= 13   0.25*x = 10.5   x = 42 miles   The answer is 42.
Answer: C