MU-NLPC/Calc-aqua_rat huggingface dataset:
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 8 years?
Select
A) 6%  B) 2.5%  C) 4%  D) 5%  E) 3.5%

Solution: 150 = (750*8*R)/100   R = 2.5%   Answer: 2.5%
Answer: B
0.9*0.007= ­­­­­­­­­­_________  Choose one:  A) 0.063  B) 0.0063  C) 0.63  D) 0.00063  E) 63

Solution: 9*7= 
9*7 = 63
63   Sum of decimal places= 4   So, 0.9*0.007= 0.0063   ANSWER:0.0063
Answer: B
The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-fourth of the males and one-half of the females in the class?
Pick one.
A) 128 B) 136 C) 144 D) 152 E) 160

Solution: 1/4*2/5 + 1/2*3/5 = 2/20 + 6/20 = 2/5   The number of degrees is  2/5 * 360= 
 2/5 * 360 = 144
144 degrees   The answer is 144.
Answer: C
Andy solves problems 70 to 125 inclusive in a Math exercise. How many problems does he solve? Choices:
A) 56
B) 52
C) 51
D) 50
E) 49

Solution: 125-70+1= 
125-70+1 = 56
56   '56' is the answer
Answer: A
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?	Pick one.
A) 112 B) 100 C) 882 D) 262 E) 221

Solution: 70 = (P*4*7/2)/100   P = 500.Answer: 100
Answer: B
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions. Options
A) 561.68 m	B) 562.68 m	C) 563.68 m	D) 564.68 m	E) 565.68 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 400 resolutions.   = 500 * 2 * 22/7 * 22.4   = 56268 cm   = 562.68 m   Answer: 562.68 m
Answer: B
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 80, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?  Choose the correct choice
A) K+40	B) 2K+40	C) (80+K)/2	D) (80-K)/2	E) 2(80-K)

Solution: Let y be the years of service at the company.   After y years of service, Sue's age will be K + y.   Sue can retire when (K+y) + y = 80   y = (80 - K)/2   Then Sue's age will be K + y = K + (80 - K)/2 = (80+K) / 2   The answer is (80+K)/2.
Answer: C
In a family, there are six members A, B, C, D, E and F.
A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died. How is E related to C ?	Choose the correct choice from the following answers:
A) Sister B) Daughter C) Cousin D) Mother E) Father

Solution: Explanation:   A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E. who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A.   Clearly. E is the daughter of C.   Answer: Daughter)
Answer: B
It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 100 pages?  Choose one
A) 12  B) 18  C) 20  D) 24  E) 30

Solution: If it takes 4 more minutes for A to print 40 pages than it takes B,   it takes 5 more minutes for A to print 50 pages than it takes B.   Thus if b is the number of minutes than B takes to print 50 pages,   we can write:   1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)   6(2b+5)=b(b+5)   b^2-7b-30=0   (b-10)(b+3)=0   b=10   Thus it takes A 15 minutes to print 50 pages and   15*100/50= 
  15*100/50 = 30
30 minutes to print 100 pages (ANSW30R 30)
Answer: E
In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
Choose the correct choice from the following answers:	A) 20	B) 30	C) 25	D) 600	E) None of these

Solution: The toys are different; The boxes are identical.   If none of the boxes is to remain empty, then we can pack the toys in one of the following ways:   Case i. 2, 2, 1   Case ii. 3, 1, 1   Case i:   Number of ways of achieving the first option 2, 2, 1.   Two toys out of the 5 can be selected in 5C2 ways. Another 2 out of the remaining 3 can be selected in 3C2 ways and the last toy can be selected in 1C1 way.   However, as the boxes are identical, the two different ways of selecting which box holds the first two toys and which one holds the second set of two toys will look the same. Hence, we need to divide the result by 2.   Therefore, total number of ways of achieving the 2, 2, 1 option is:25
Answer: C
Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. The area left ungrazed by the horses is:	Choose the correct answer
A) 1050 sq.m	B) 3850 sq.m	C) 950 sq.m	D) 1075 sq.m	E) 1065 sq.m

Solution: area ungrazed is given by   total area - 4*area grazed by each horse   = 70*70 - 4*(90/360)*pi*(70/2)^2   as the angle made by the horse is 90 degree, so applying the area of the sector,= theta/360*pi*radius^2 above   = 70*70 - pi*(70/2)*(70/2)   = 70*70 { 1- pi/4}   = 70*70{6/(7*4)} , expanding pi = 22/7   = (70*70*6) / (7*4)= 
(70*70*6) / (7*4) = 1_050
1050 sq m   1050 sq.mNSWER:1050 sq.m
Answer: A
Set V consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set V, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26? Choose the correct choice from the following options
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: V = {3,-8,Y,19,-6}   B = {k,-3,0,16,-5,9}   Y > 21   So L = Median of V = 3   M = Mode of Set B   Z = (3)^M   If Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor   => M = 0   Hence k = 0, as M is mode and 0 will be the most frequently occuring number in set B.   Answer - 0
Answer: C
What is 15 percent of 58? Select the correct option:  A) 6.9  B) 7.4  C) 8.7  D) 9.3  E) 10.4

Solution: (15/100) * 58= 
(15/100) * 58 = 87/10 = around 8.7
8.7   The answer is 8.7.
Answer: C
Pipes A and B can fill a tank in 3 and 4 hours. Pipe C can empty it in 4 hours. If all pipes are opened together, then the tank will be filled in?	Select:
A) 3hr B) 1/2hr C) 1hr D) 9/7hr E) 5/3hr

Solution: Net part filled in 1 hour = 1/3 + 1/4 - 1/4 = 1/3   The tank will be full in 3 hr   3hrnswer is 3hr
Answer: A
A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?  Choose one:  A) 229  B) 108  C) 278  D) 126  E) 90

Solution: S = 125/5 * 18/5= 
125/5 * 18/5 = 90
90 kmph   Answer: 90
Answer: E
There are 1500 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division? Options
A) 22  B) 35  C) 37  D) 73  E) 60

Solution: E   60   24 soldiers + 1 officer makes a group of 25 people. Now number of such groups = 1200/25= 60.
Answer: E
A company blends two varieties of tea from two different tea gardens, one variety costing 20 per kg and other 25 per kg, in the ratio 5 : 4. He sells the blended tea at 23 per kg. Find his profit percent
Select the correct option
A) 5% profit B) 3.5% loss C) 3.5% profit D) No profit, no loss E) None of these

Solution: Let the quantity of two varieties of tea be 5x kg and 4x kg, respectively.   Now, SP = 23 × 9x = 207x   and 3.5% profitP = 20 × 5x + 25 × 4x = 200x   Profit % = 7x/200x×100=3.5%   Answer 3.5% profit
Answer: C
For each positive integer,the quantitySn is defined such thatSn+1=(Sn)^2 -S(n+1).in addition ,S2=1.then which of the following must be true.  Choose the correct choice from the following choices:  A) a)S4 +S3 +1=0  B) b)(S1)^2 +S4 +2=0  C) c) ifS1=-1thenS4 is also equal to-1.  D) d) ifS4 =-7thenS1=-2.  E) e) ifS1 =-3thenS4=-7

Solution: Since all the answers include S4, let's start from there.   S4=S2^2-S3   S3=S1^2-S2   Substituting S3 into the first equation we get:   S4=S2^2-(S1^2-S2)   Since S2=1   S4=1-(S1^2-1)   S4=2-S1^2   We need S1^2 in order to calculate S4.   E) provides S1 and from there we can calculate S4:   S4=2-(-3)^2   S4=-7   Correct.   As a side note, I would be very careful with answers in the formif S4=x then S1=y(such as option D ), as we are dealing with S1^2 (not S1), S1 can have two different values and it can not be determined for sure which root is the right answer.   For example:   If S4=-7 then S1=3 :   if we substitute S4 with - 7 we get:   -7=2-S1^2   S1^2=9   now S1 can be +/-3 !!   a)S4 +S3 +1=0
Answer: A
A theater is opening and has free seating. There are 15 people who want to watch a movie, and the theater has 10 seats: 1 near the exit, 4 on the first row, 4 in middle row, and 1 in the last row. Only 4 people are claustrophobic and can sit near the exit and they cannot sit anywhere. The other people can sit anywhere. How many different groupings are possible?  Choose the correct choice from the following choices
A) 98340 B) 788922 C) 138600 D) 383848 E) 458569

Solution: 41386001 select 1 from 4 claustrophobic people;   111386004 select 4 for first row from 11 people (as 4 people can only sit near the exit   15-4= 
  15-4 = 11
11);   71386004 select 4 for middle row from 7 people (as 4 can only sit near exit and 4 we've already selected for first row   15-4-4= 
  15-4-4 = 7
7);   31386001 select 1 last row seat from 3 people (again as 4 can only sit near exit and 4 we've already selected for first row, 4 for second row  15-4-4-4= 
 15-4-4-4 = 3
3)   Total # of selection=41386001*111386004*71386004*31386001=138600   Answer: 138600.
Answer: C
Last year, for every 100 million vehicles that traveled on a certain highway, 100 vehicles were involved in accidents. If 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choose the correct choice:
A) 500
B) 1500
C) 2500
D) 2000
E) 1000

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 100 accidents as 2 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 2,000 million rather than 2 billion. Creating a proportion we have:   100/100 = 2,000/x   Cross multiplying gives us:   100x = 2,000 * 100   x = 20 * 100= 
20 * 100 = 2_000
2000   Answer : 2000
Answer: D
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choose the correct choice from the following answers
A) 15	B) 87	C) 99	D) 77	E) 55

Solution: 90 * 10/60= 
90 * 10/60 = 15
15 kmph   15nswer:15
Answer: A
A person crosses a 400m long street in 6 minnutes. What is his speed in km per hour?	Pick one:
A) 5.8km/hr
B) 7.2km/hr
C) 9km/hr
D) 2.5km/hr
E) 4km/hr

Solution: Speed = 400/6*60 = 1.11m/sec   =1.11*18/5   =4km/hr   Answer is 4km/hr
Answer: E
A number increased by 10% gives 550. The number is
Choose the correct choice from the following choices:	A) 250	B) 500	C) 450	D) 500	E) 520

Solution: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"   A number means = 100 %   That same number increased by 10 % = 110 %   110 % -------> 550 (110 ×5 = 550)   100 % -------> 500 (100 × 5= 500)   500)
Answer: B
A shopkeeper fixes the marked price of an item 32% above its cost price. The percentage of discount allowed to gain 7% is	Pick one:  A) 18.94%  B) 18.93%  C) 18.92%  D) 18.91%  E) None of these

Solution: Explanation:   Let the cost price = Rs 100   then, Marked price = Rs 132   Required gain = 7%,   So Selling price = Rs 107   Discount = 132 - 107= 
132 - 107 = 25
25   Discount%= (25/132)*100 = 18.93%   Option 18.93%
Answer: B
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount? Choose the correct choice from the following answers.
A) 1240	B) 1120	C) 1190	D) 1290	E) None of these

Solution: Explanation :   TD = (BG ×100)/TR = (540×100)/(6×12) = (90×100)/12 = (15×100)2/ = Rs. 750   BG = B1290 – T1290   => 540 = B1290 - 750   => B1290 = 540 + 750= 
540 + 750 = 1_290
1290 Answer : Option 1290
Answer: D
√(49)2
Choose one:
A) 7
B) 14
C) 49
D) 21
E) None of these

Solution: explanation   √(49)2 =?   or, ? = 49   Answer 49
Answer: C
If the sales tax be reduced from 4 (1/4) % to 1 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 4500?
Pick:
A) Rs. 156.66	B) Rs. 150.23	C) Rs. 123.75	D) Rs. 135.06	E) None of these

Solution: Explanation:   Required difference = (4 (1/4) of Rs. 4500) - (1(1/2) of Rs.4500)   = (17/4 – 3/2) % of Rs. 4500   = (11/4) x (1/100) x 4500   = Rs. 123.75   ANSWER Rs. 123.75
Answer: C
Sixteen percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds? Answers.
A) 15% B) 20% C) 25% D) 63% E) 75%

Solution: Initially 84% and 16% split   80% is further divided as 25% and 75%   Q is asking about that 75%   let total be '100' then that 75% is (3/4)∗84   so, the required % is [(3/4)∗84/100]∗100 = 63%   ANSWER:63%
Answer: D
If the average (arithmetic mean) of five consecutive negative integers is 12k – 1, what is the difference between the greatest and least of the five integers?  Options.
A) 4K  B) 4k^2 -4k  C) 4-4k  D) 4  E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 12k - 1   => n = 60k - 5   Greatest = n + 2 = 60k - 5 + 2 = 60k - 3   Least = n - 2 = 60k - 5 - 2   => 4ifference = 60k - 3 - (60k - 7)   = 4   Answer - 460  - 3 - (60  - 7)= 
60  - 3 - (60  - 7) = 4
4   Answer - 4
Answer: D
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8cm×6cm×2cm, is :
Options.
A) 2√13 cm  B) 2√14 cm  C) 2√26 cm  D) 10√2 cm  E) None of these

Solution: Explanation:   Length of pencil = √(8)2+(6)2+(2)2 cm = √104 cm = 2√26 cm   2√26 cmorrect Option: 2√26 cm
Answer: C
An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 2?
Choose the correct choice from the following answers:
A) A)1500
B) B)2000
C) C)2500
D) D)3000
E) E)4000

Solution: Let the number of meters to be examined be x   Then, 0.05% of x = 2   (5/100)*((1/100)*x = 2   x = 4000   Answer is 4000
Answer: E
the average distance between the sun and a certain planet is approximatly 3.7 10^13 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Choose the correct choice: A) 9.5 x(10)^7 B) 9.5 x(10)^9 C) 9.5 x(10)^4 D) 9.5 x(10)^3 E) 9.5 x(10)^8

Solution: No need to solve entire problem.   Distance in KM = 37*(10)^13/39*(10)^4 which is -370*(10)^12/39*(10)^4 = 9.5 x(10)^8   Answer : 9.5 x(10)^8
Answer: E
In the Hillside summer camp there are 50 children. 85% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen? Pick:
A) 20.	B) 45.	C) 50.	D) 30.	E) 25.

Solution: Given there are 50 students , 84% of 50 = 42 boys and remaining 8 girls.   Now here 84% are Boys and 16% are Girls.   Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 8%..   If we add 50 to existing 45 then the count will be 92 and the girls number will be 8 as it.   Now boys are 92% and girls are 8%. ( out of 100 students = 92 boys + 8 girls ).   IMO option 50. is correct.
Answer: C
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? Choose the correct choice from the following options:  A) 6620  B) 6627  C) 6626  D) 6622  E) 6629

Solution: 6620 = 20000(11/10)3   = 26620   = 20000   ----------   6620   6620nswer:6620
Answer: A
There are some birds in cage, 1/3rd fly away . Then 2/5th of the remaining left the cage , then 2/3rd of the remaining left the cage . At last 8 were remaining . How many birds were in total ?  Choose the correct choice from the following options.
A) 60
B) 27
C) 28
D) 26
E) 91

Solution: Sol:   If x birds were there in total , then   x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 8   x×2/3 × 3/5 × 1/3 = 8   x = 60   60nswer:60
Answer: A
David obtained 74, 65, 82, 67 and 90 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Choose the most appropriate option:	A) A)87	B) B)99	C) C)68	D) D)82	E) E)76

Solution: Average = (74 + 65 + 82 + 67 + 90)/5   = 380/5= 
380/5 = 76
76.   Answer:76
Answer: E
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 4000, the number of valid votes that the other candidate got, was: Choose the correct choice:
A) 3500
B) 1200
C) 1650
D) 3700
E) 1800

Solution: Number of valid votes = 80% of 4000 = 3200.   Valid votes polled by other candidate = 45% of 4000   =(45/100)X4000 =1800   ANSW1800R = 1800
Answer: E
The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red	Choose the correct choice from the following choices
A) 5.24%	B) 5.35%	C) 6.125%	D) 7.45%	E) 8%

Solution: Total Car.29.10 i.e., Honda +non Honda = 29400 Given: Whim. tractor .150W   Now,5346 of 2..00 = Honda +Red Non-Honda 29400 .:4 =15582 Thus...El Mall... 1.0 Now Honda 15582 flow, Non-. Honda =15582 - 15.582-14700=8B2 96 non-Honda =1=1.100 = 6.125%   6.125%
Answer: C
Look at this series: V, VIII, __, XIV, XVII, XX, ... What number should fill the blank?
Choose the correct answer:  A) IX  B) XXIII  C) XV  D) XI  E) None

Solution: Explanation: This is a simple addition series; each number is 3 more than the previous number.   Answer: XI
Answer: D
A train passes a station platform in 39 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?  Choose the correct choice from the following:
A) 276 m
B) 279 m
C) 240 m
D) 207 m
E) 285 m

Solution: Speed = [54 * 5/18] m/sec   = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 39= 15   x + 300 = 585   x =285m.   Answer: 285 m
Answer: E
An intern wants to label folders with numbers using digit stickers only. If the intern uses 999 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1). Select the correct option
A) 287
B) 369
C) 370
D) 371
E) 430

Solution: For the first 9 folders we need 9 stickers.   For the next 90 we need 2 stickers each or 180 stickers.   For the next 900 folders we need 3 stickers each.   The first 99 folders correspond to 189 stickers.   Subtract 189 from the total number of stickers (999).   This leaves 810 stickers for folders that use 3 stickers each. So, divide 810 by 3 to get 270 folders.   Add 99 folders to 270 folders to get the total number of folders, 369.   Answer: 369
Answer: B
A train 440 meters long is running with a speed of 65 kmph. The time taken by it to cross a tunnel 180 meters long is?	Choices:
A) 40.338 sec  B) 41.338 sec  C) 42.338 sec  D) 40 sec  E) 34.338 sec

Solution: D = 440 + 180= 
440 + 180 = 620
620   S= 65 * 5/18 = 18.05556 mps   T = 620/18.05556 =34.33846   34.338 sec
Answer: E
If x is an integer, then x(x - 1)(x - y) must be evenly divisible by three when y is any of the following values EXCEPT  Choose one
A) -4	B) -2	C) -1	D) 2	E) 5

Solution: here's another approach   x(x - 1)(x - y)   all three are consecutive, so the product MUST be a multiple of 3   we don't know the value of y just yet ... so let's extend the series ... the extension itself reveals the answers   ..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..   we can see the possible values of y too from the series   y = 2 OR 2+3n [25]   y = -1 OR -1+3n [-1-4]   B i.e. -2 does not fit in any value of y   so -2 it is
Answer: B
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choose the correct option
A) 1.25%	B) 3.75%	C) 6.25%	D) 6.67%	E) 11.7%

Solution: The amount of sodium chloride is 0.05*10,000 = 500 gallons   500/8000 = 1/16 = 6.25%   The answer is 6.25%.
Answer: C
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?	Choose the correct choice from the following answers.
A) 1342  B) 1543  C) 1578  D) 1654  E) 1365

Solution: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.   =. Required number of ways = 14C10 = 14C4   = 14!/4!x19! = 1365   1365
Answer: E
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?	Choose one
A) 250/3
B) 500/3
C) 400
D) 480
E) 600

Solution: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?   W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.   If X = 200 then Y = 600   ANSW600R:600
Answer: E
6) A marketing firm determined that , of 300 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?	Choose the correct choice from the following choices: A) a) 15 B) b) 20 C) c) 30 D) d) 40 E) e) 45

Solution: 220 = At least one of Soap A or B   Both brands = x   Brand B = 3x   => 60 + x + 3x = 220   => 4x = 160   => x = 40   Answer - d) 40
Answer: D
There are 6 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe Choose the most appropriate option.
A) 1/9  B) 2/9  C) 3/5  D) 4/9  E) 2/3

Solution: total 10 from take one.   10c1=10   red 6 from one   6c1=6   6/10= 3/5   ANSWER:3/5
Answer: C
If the a radio is sold for Rs 490 and sold for Rs 465.50.find loss%.
Choose the correct answer
A) 4% B) 5% C) 6% D) 3% E) 5.5%

Solution: sol. cp=rs490,sp= 465.50.   loss=rs(490-465.50)=rs 24.50.   loss%=[(24.50/490)*100= 
(24.50/490)*100 = 5
5%   Answer is 5%.
Answer: B
Find the value of 72519 x 9999 = m?	Select:  A) 455465473  B) 654676854  C) 667676753  D) 725117481  E) 764534522

Solution: 72519 x 9999 = 72519 x (10000 - 1)   = 72519 x 10000 - 72519 x 1   = 725190000 - 72519= 
725190000 - 72519 = 725_117_481
725117481   725117481
Answer: D
A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability Q that a + b is prime?	Answers.
A) 0 B) 1/12 C) 5/12 D) 7/18 E) 4/9

Solution: Total # of outcomes is 6*6= 
6*6 = 36
36;   Favorable outcomes:   a-b --> prime   1-1 --> 2;   1-2 --> 3;   2-1 --> 3;   1-4 --> 5;   4-1 --> 5;   2-3 --> 5;   3-2 --> 5;   1-6 --> 7;   6-1 --> 7;   2-5 --> 7;   5-2 --> 7;   3-4 --> 7;   4-3 --> 7;   6-5 --> 11;   5-6 --> 11.   Total of 15 favorable outcomes   Q=15/36.   Answer: 5/12.
Answer: C
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?	Choose one.
A) 3.5 gallons  B) 2.7 gallons  C) 5.7 gallons  D) 4.5 gallons  E) 7.5 gallons

Solution: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 180 kilometers?   180 ÷ 40 = 4.5 × 1 gallon = 4.5 gallons   correct answer is 4.5 gallons) 4.5 gallons
Answer: D