MU-NLPC/Calc-aqua_rat huggingface dataset:
Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and GRAY. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?  Choices.
A) 12 B) 14 C) 18 D) 19 E) 20

Solution: IMO: D - 19   There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, GRAY) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.   The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).   #1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3= 
3 * 3 = 9
9   #2: Pick two out of PPO and one out of SBP: 3C2 * 3C1= 3 * 3= 
3 * 3 = 9
9   #3: Pick three out of PPO: 3C3= 1   9 + 9 + 1= 
9 + 9 + 1 = 19
19   answer is 19
Answer: D
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 10 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers? Choose the correct choice from the following answers:	A) 6	B) 16	C) 22	D) 30	E) 174

Solution: The number of integers that belong to set X ONLY is 8-6= 
8-6 = 2
2;   The number of integers that belong to set Y ONLY is   10-6= 
  10-6 = 4
4;   The number of integers that belong to set X or set Y, but not both is   2+4= 
  2+4 = 6
6.   6nswer: 6.
Answer: A
A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 28 percent of the total votes? Options.
A) 10%  B) 12.5%  C) 15%  D) 17.5%  E) 20%

Solution: There were 80% of the votes remaining and he needed 8%/80% = 1/10 = 10%   The answer is 10%.
Answer: A
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 80 ?  Choose the correct choice from the following answers
A) 170	B) 172	C) 173	D) 199	E) 186

Solution: First of all, discard 173 and 199 since they are odd. Sum of two primes greater than 2 will always be even because both primes will be odd.   Both numbers need to be greater than 80 i.e. their sum needs to be greater than 160. Since two of the given sums, 170 and 172, are quite close to 160, it should be fair to assume that if they can be written as sum of two primes, we will find the primes between 80 to 90.   172etween 80 and 90, there are only 2 primes: 83 and 89 (if you don't remember this, you just need to check for 81, 83, 87 and 89)   83+89= 
83+89 = 172
172 so answer is (172)
Answer: B
A motor pool has 300 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel? Choose the correct choice from the following options.
A) 165%	B) 90%	C) 65%	D) 55%	E) 10%

Solution: Solution   Percentage of vehicles neither trucks nor diesel = Total Number of trucks - (55%iesel Trucks +Non 55%iesel Trucks +Other 55%iesel Vehicles)/Total Number of trucks = 300-(75+15+45)/300= 165/300= 55%   Ans 55%
Answer: D
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?	Pick one: A) 12 B) 3 C) 5 D) 8 E) 10

Solution: Let the number of buffaloes be x and the number of ducks be y.   Then 4x+2y=2(x+y)+24   =>x=12   12NSWER 12 12
Answer: A
An employee’s annual salary was increased $5,000. If her new annual salary now equals $25000 what was the percent increase?
Choose the correct option:
A) 15%
B) 80%
C) 20%
D) 22%
E) 24%

Solution: New annual salary = $25000   Salary increase = $5000.   Original salary = $25000 - $5,000.   = $20,000   %Increase = ($15,000/ $75,000 )*100   =80%   Hence 80%.
Answer: B
If x ¤ y = (x + y)^2 - (x - y)^2. Then √7 ¤ √7 =  Pick one: A) 0 B) 5 C) 10 D) 15 E) 28

Solution: X = √7 and Y also =√7   Applying the function (√7+√7)^2 - (√7-√7)^2 = (2√7)^2 - 0 = 4 x 7 = 28.   Note: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=√7 and y = √7 you get the answer 28.   Answer 28
Answer: E
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Options
A) 76 cm2  B) 30 cm2  C) 56 cm2  D) 45 cm2  E) 19 cm2

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5= 
6 * 5 = 30
30 cm2   Answer:30 cm2
Answer: B
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?	Choose the correct choice from the following options.
A) 387
B) 320
C) 375
D) 372
E) 322

Solution: A+B+375 = 1500   A = 1/3(B+375); B = 2/3(A+375)   A/(B+375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
>   375   Answer: 375
Answer: C
At Deluxe paint store, Fuchsia paint is made by mixing 4 parts of red paint with 2 parts of blue paint. Mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint. How many liters of blue paint must be added to 24 liters of Fuchsia to change it to Mauve paint?  Choose the correct choice from the following choices.
A) 9 B) 12 C) 15 D) 16 E) 24

Solution: in 24 liters, Red = 4/6 * 24= 
4/6 * 24 = 16
16 and Blue= 8   so, 16/(8+x) = 3/6   or, x = 24 (Answer 24)
Answer: E
The average age of an adult class is 40 years. 12 new students with an avg age of 34years join the class. Therefore decreasing the average by 4 years. Find what was the original average age of the class? Answers:	A) 6	B) 12	C) 16	D) 20	E) 22

Solution: Let original strength = y   Then , 40y + 12 x 34 = ( y + 12) x 36   â‡’ 40y + 408 = 36y + 432   â‡’ 4y = 48   âˆ´ y = 6   6
Answer: A
A box contains seven light out of which 3 are defective. If three light are chosen at random, find the probability that all the three light are defective?  Choose the correct answer:	A) 2/35	B) 3/35	C) 1/35	D) 3/37	E) None of these

Solution: Out of nine light , five are good and four are defective.   Required probability = 31/353/71/353 = 1/35   1/35
Answer: C
In the office supply store, Brittany bought 17 pens of three kinds: ball pens, gel pens, and ink pens, which cost $0.05, $0.10 and $0.25 each. The total that Brittany paid was $2.05. If Brittany bought twice as many gel pens as ink pens, how many ball pens did she buy?
Answers:
A) 4	B) 5	C) 7	D) 8	E) 10

Solution: Denote each pen with the first letter of its kind and build a system of equations:   55+10G+25I=205   5+G+I=17   G=2I   5+9I=41   5+3I=17   6I=24   I=4   5=5   Answer: 5   _____________
Answer: B
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Select the correct option
A) 15  B) 25  C) 18  D) 22  E) 30

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90   The average amount with them = 90/6 = Rs. 15.   15NSWER 15
Answer: A
A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ?
Pick one:
A) 40  B) 54  C) 50  D) 39  E) None

Solution: No. of toys = 100/2= 
100/2 = 50
50   Answer : 50
Answer: C
The average of five number is 27. if one number is excluded, the average becomes 25. The excluded number is :
Choose the correct choice from the following options.
A) 25  B) 27  C) 30  D) 35  E) None of these

Solution: Solution   Excluded number = (27 × 5) - (25 × 4) = 135 - 100= 
135 - 100 = 35
35. Answer 35
Answer: D
The area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is?	Choose the correct choice from the following options
A) 48 B) 40 C) 52 D) 54 E) 58

Solution: Isosceles trapezoid indicates that if we draw perpendicular from two vertex of the smaller side, the longer side with side 16 will be divided into 3 parts= 10, 3 and 3 (Making one square and two right triangles)   For the right triangle, height will be= (5^2-3^2)^1/2= 4   And the area of trapezoid = 1/2 (B1+B2)H= 1/2*26*4= 
1/2*26*4 = 52
52   52 is the answer
Answer: C
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 17. Find the sum :	Choose the most appropriate option:	A) 4500	B) 7500	C) 5000	D) 6800	E) None of these

Solution: Sol.(d) Let the sum be 100.   Therefore, SI = 100×5×2100=10100×5×2100=10   and CI = 100(1+5100)2−100100(1+5100)2−100   ∴ =100×21×2120×20−100=414=100×21×2120×20−100=414   6800ifference of CI and SI = 41⁄4 - 10 = 1⁄4   If the difference is 1⁄4 , the sum = 100   => If the difference is 17, the sum   = 400 × 17 = 6800 Answer 6800
Answer: D
Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 4 percent solution will be required?	Choices: A) 18 B) 20 C) 24 D) 36 E) 26.25

Solution: let a=amount of 4% acid and b= amount of 12% acid.   Now, The equation translates to,   0.04a + .12b = .05(a+b)   but a+b= 60   therefore .04a + .12b = .05(60)   => 4a + 12b = 300   but b=60-a   therefore   4a+ 12(60-a) = 300   => 16a = 420   hence a = 26.25.   Answer : 26.25
Answer: E
A chemist mixes one liter of pure water with x liters of a 50% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x?
Choices.
A) 1/4  B) 1/3  C) 1/2  D) 1  E) 3

Solution: Concentration of salt in pure solution = 0   Concentration of salt in salt solution = 50%   Concentration of salt in the mixed solution = 10%   The pure solution and the salt solution is mixed in the ratio of --> (50 - 10)/(10 - 0) = 4/1   1/x --  (50 - 10)/(10 - 0)= 
--  (50 - 10)/(10 - 0) = 4
4/1   1/x= 4/1   x = 1/4   1/4nswer: 1/4
Answer: A
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choose the most appropriate option
A) 3:4 B) 3:5 C) 15:23 D) 17:23 E) None of these

Solution: Explanation:   P:Q = 85000 : 15000 = 17:3.   ANSWNone of theseR IS None of these
Answer: E
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes tom can make using this recipe?
Options.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Less work up front: Go through each item and see what the greatest number of cakes you can make with each. The lowest of these will be the right answer.   Flour: 15 cups, we need 2.5 cups each. Just keep going up the line to see how many cakes we can make: That means I can make 2 cakes with 5 cups, so 6 cakes overall with 15 cups. I've already got the answer narrowed to either A or B.   Sugar: 16 cups, we need 2.75 cups each. Same principle. I can make 2 cups with 5.5 cups, so to make 6 cakes I'd need 16.5 cups. I don't have that much sugar, so we're limited to 5 cakes. No need to even do milk because we're already at 5. Sugar will be the limiting factor.   answer is 5
Answer: A
If the average (arithmetic mean) of a and b is 45 and the average of b and c is 85, what is the value of c âˆ’ a?	Options
A) 25 B) 80 C) 90 D) 140 E) It cannot be determined from the information given

Solution: the arithmetic mean of a and b =(a+b)/2=45 -- a+b=90 --1   similarly for b+c=170 --2   subtracting 1 from 2 we have   c-a=80;   ANSWER:80
Answer: B
Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent L of the lights that are on are supposed to be off? Select the correct option:
A) 22(2/9)%
B) 16(2/3)%
C) 11(1/9)%
D) 10%
E) 5%

Solution: Is the Answer D.   let me try..   Let the light which are supposed to be OFF = SO   Let the light which are supposed to be ON = SN   Let the light which are ACTUALLY OFF = AO   Let the light which are ACTUALLY ON = AN   Let the total no. of lights be 100,   So ACTUALLY ON lights = 80   And ACTUALLY OFF lights = 20   Also given >> forty percent of the lights that are supposed to off are actually on >>> (40/100)*SO are ACTUALLY ON   it means >>> (60/100)*SO are ACTUALLY OFF   Also given >> ten percent of the lights that are supposed to be on are actually off >>> (10/100)*SN are ACTUALLY OFF   it means >>> (90/100)*SN are ACTUALLY ON   So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80   and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80   From here we get SO = 20   we need to find: What percent of the lights that are on are supposed to be off >>> So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8.   So (8/80)*100= 
(8/80)*100 = 10
10%.10%
Answer: D
P is three times as fast as Q and working together, they can complete a work in 24 days. In how many days can Q alone complete the work? Options.
A) 16  B) 77  C) 32  D) 55  E) 778

Solution: P = 3Q   P + Q = 3Q + Q = 4Q   These 4Q people can do the work in 24 days, which means Q can do the work in 96 days.   Hence, P can do the work in 32 days.   Answer:32
Answer: C
In a room with 9 people, 6 people have exactly 1 friend in the room and 5 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?	Select:
A) 5/21 B) 3/7 C) 4/7 D) 5/7 E) 1

Solution: (6/9)(7/8) + (5/9)(6/8) if you choose one of the 6 with one other friend, then you have a 7/8 chance of not picking their friend 2nd. If you choose one of the 5 with 2 friends, you have a 6/8 chance of not picking one of their friends second. Add them up.   42/72 + 30/72   72/72= 
72/72 = 1
1   E. 1
Answer: E
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Choose the correct choice from the following.
A) 326 B) 372 C) 375 D) 381 E) 312

Solution: A+B+375 = 1500   A = 1/3(B+375); B = 2/3(A+375)   A/(B+375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
> 375   Answer: 375
Answer: C
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?  Select the correct option:
A) 2:5	B) 1:4	C) 3:7	D) 5:3	E) 2:3

Solution: Let 40% of A = 2/3 B   then 40A/100 = 2B/3   2A/5 = 2B/3   A/B = 5/3   A:B = 5:3   Answer is 5:3
Answer: D
Jim has arrived late for his golf tee time with his friends. When he arrives at the course, he discovers that his friends have already walked 180 yards ahead on the course and that they are continuing to walk forward at a rate of 1.5 yards per second. A bystander with a golf cart takes pity on Jim and drives him to meet his friends at the rate of 4 yards per second. Once Jim meets his friends, he exits the cart and walks with them at their rate for the next 120 yards. What is Jim’s approximate average speed for his total trip?  Choose the correct answer:
A) 1.8 yards per second	B) 2.0 yards per second	C) 2.4 yards per second	D) 2.7 yards per second	E) 3.0 yards per second

Solution: Given Jim's friends has a lead of 180 yards and moving at 1.5 yards/sec speed   Jim on golf cart with speed 4 yards/sec has to meet this friends, assuming he meets them after "t" secs   So the total distance traveled by Jim and his friends should be same so as to meet them=> 180+1.5t=4t   => 180=2.5t   =>72 secs, so Jim meets his friends after traveling 72 secs at 4 yards/sec speed---First part of his journey (288 yards in 72 secs)   Now, Jim travels 120 yards with speed 1.5 yards/sec in  120/1.5= 
 120/1.5 = 80
80 secs---second part of his journey (120 yards in 80 secs)   So avg speed of Jim= total distance traveled/ total time   => (288+120)/(72+80)=408/152   =>2.7 yards/sec approx   Answer: 2.7 yards per second
Answer: D
What is the minimum value of z for which z^2 + z - 3/8> 0 is not true? Answers.
A) -5/2 B) -3/2 C) -1/2 D) -3/4 E) 1/2

Solution: I think -3/4 -3/4 is the best ans...
Answer: D
A set of 16 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?  Pick: A) 32 B) 37 C) 40 D) 44 E) 50

Solution: The correct answer is D.   A set of 16 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?   Given 15 different integers, lets say   n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15   Also given median is 25 i.e. n8 = 26   n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15   As each integer is different we need to find the maximum values for all those numbers before the median.   the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..   18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15   Also given the range is 25 i.e. n15 - n1 (18) = 26   The maximum value n15 can have is 26 + n1 (18) = 44   44
Answer: D
The forth proportional to 2,4,6 is?  Options
A) 8
B) 12
C) 15
D) 18
E) 22

Solution: Let the fourth proportional to 2,4,6 be x   then 2:4::6:x   2x = 4*6   x = 12   Answer is 12
Answer: B
Ramesh can finish a piece of work in 10 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?  Choose the correct choice from the following options: A) 8/3 days B) 9/3 days C) 10/3 days D) 11/3 days E) 7/3 days

Solution: Ramesh can finish a piece of work in 10 days. Rohan is twice as efficient as Ramesh.   So Rohan can finish a piece of work in 5 days.   days needed to finish the same amount of work = 1/(1/5+1/10)=10/3 days   ANSWER:10/3 days
Answer: C
A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.2 km/h that day, what was its approximate downstream speed?	Options:
A) 3	B) 5	C) 6	D) 7	E) 8

Solution: Another way will be:   Total time for the trip = distance covered in Lake/speed in still water +distance covered upstream/upstream speed + distance covered downstream/downstream speed   If 5D is the total distance, then distance covered in lake = D, distance covered upstream = 2D and distance covered downstream = 2D   =>5D/3.2 = D/4 + 2D/3 + 2D/x (where x is the downstream speed)   => 5/3.2 = 1/4 + 2/3 +2/x (div. both sides by D)   => 1.56 = .25+.66 +.65/x => x=3.09 ~ 3   option 3
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Choose the correct choice from the following.
A) 80,70 kmph B) 80,40 kmph C) 10,40 kmph D) 80,80 kmph E) 84,40 kmph

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph   Answer: 80,40 kmph
Answer: B
There are 6 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.	Choose the correct choice from the following answers.
A) 14400
B) 36400
C) 86400
D) 65600
E) 88600

Solution: First arrange the Gents. This is a circular arrangment. 6 Gents can be arranged in 5! ways.   Now there are5 spaces (space in between two gents) and we have to seat 4 ladies there.   First select 4 places out of 5 available places. can be done in 5C4 ways. Then arrange 4 Ladiess there in 4! ways.   Total: 5!*5C4*4! = 14400   14400 is the answer.
Answer: A
How many times are the hands of a clock at right angles in a day?
Choose one.
A) 42
B) 44
C) 49
D) 41
E) 47

Solution: In 12 hours, they are at right angles 22 times.   ==> In 24 hours, they are at right angles 44 times.   Answer is 44.
Answer: B
The function f(Y) represents the number of ways that prime numbers can be uniquely summed to form a certain number Y such that Y = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)? Select
A) 4 B) 5 C) 6 D) 7 E) 8

Solution: It is so better to start with 2 and check whether sum of two primes is primes is even.   1) 2(6 times)   2) 2(3 times) + 3(2 times)   3) 2(2 times) + 3 + 5   4) 2 + 3 + 7   5) 2 + 5 + 5   6) 3(4 times)   7) 5 + 7   Answer: 7
Answer: D
In what time will Rs.4400 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choose the correct choice from the following options.
A) 7 4/3 B) 7 4/6 C) 7 4/7 D) 7 1/2 E) 7 1/5

Solution: (4400*3*R)/100 = (5000*5*4)/100   R = 7 4/7   Answer: 7 4/7
Answer: C
1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum T of the 24 integers ?
Choose the correct option.
A) 26,996
B) 44,406
C) 60,444
D) 66,660
E) 99,990

Solution: This is the way i solved it :   Total no. of different combos = 24, total digits 4 therefore each digit must repeat  24/4= 
 24/4 = 6
6 times in each row .. So the right most row would add up to 1x6 + 2x6 + 5x6 + 7x6= 6+12+30+42= 
6+12+30+42 = 90
90 .. Each row would add up to 90, so 90 in the first means we have 9 that carries over and we get 0 , the second time its 90+9 and 9 stays and one 9 goes to the row to the left, so the last two digits of the SUM T should be 90 (E) .. We could go on and solve the exact number but since only one answer choice has the last digits as 90 we needn't go any further..
Answer: E
In Josephs convent school,80% are boys at the same time 75% are girls students.If 88% are boys students then, what is percentage of the girls students in the particular school?	Select the correct option:	A) 54	B) 41	C) 50	D) 39	E) 63

Solution: Percentage of boys students = 80%; Percentage of girls students = 70% (ie) 0.75; Total = 0.7*100; Percentage of boys students = 88-80= 
88-80 = 8
8; Percentage of girls students=100-70= 
100-70 = 30
30; So total Percentage of girls students=0.70*30= 
0.70*30 = 21
21;   Total Percentage of girls students= 30+21=41 Answer: 41
Answer: B
A can have a piece of work done in 10 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ? Choose the correct choice from the following choices:
A) 3/5 days
B) 5/2 days
C) 4/3 days
D) can't say
E) none

Solution: A's 1 day work is 1/15   5/2 days's 1 day work is 2/15   C's 1 day work is 3/15   (A+5/2 days+C)'s 1 day work(1/15+2/15+3/15) is 2/5   so, they can finish the work in 5/2 days   ANSWER:5/2 days
Answer: B
A card player is dealt a poker hand of 5 cards. Considering that there are 12 face cards and 40 other cards in a deck of cards, how many hands are there in which the player will be dealt 2 face cards and 3 other cards?	Answers:
A) 410,860
B) 580,420
C) 652,080
D) 712,600
E) 880,420

Solution: (12c2)*(40c3)   i.e.   [12!/(2!*10!)]*[40!/(3!*37!)]   66*9,880   652,080   652,080
Answer: C