MU-NLPC/Calc-aqua_rat huggingface dataset:
A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Choose the correct choice from the following answers: A) 11 B) 19 C) 00 D) 27 E) 271

Solution: We have to find the maximum number which divides all the given numbers so that number of roots get minimized. HCF of 120,192 & 144 is 24. Each room have 24 students of the same course.   Then rooms needed 12024+19224+1442412024+19224+14424 = 5 +8 + 6= 
5 +8 + 6 = 19
19   Answer:19
Answer: B
Carlos is 8 years old. In 12 years, how old will he be? Select the correct option: A) 17 B) 18 C) 19 D) 20 E) 21

Solution: 8years + 12years=20 years   answer : 20
Answer: D
The positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t. What is the remainder when s– t is divided by 6?	Choose the correct choice from the following answers:
A) 3  B) 1  C) 4  D) 2  E) 5

Solution: Let's test out some values of p and q that satisfy the given information.   s leaves are remainder of 2 when divided by 6   So, s COULD equal 8   t leaves are remainder of 3 when divided by 6   So, t COULD equal 3   What is the remainder when s – t is divided by 6?   So, s - t = 8 - 3= 
8 - 3 = 5
5, and when we divide 5 by 6, we get 0 with remainder 5   Answer: 5
Answer: E
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? Choose one
A) Rs.14400
B) Rs.26400
C) Rs.28400
D) Rs.29400
E) Rs.16400

Solution: Ratio of the investment = 21000 : 17500 = 210 : 175 = 42 : 35 = 6 : 5   Share of X in the profit = 26400 * (6/11) = 2400 * 6= 
2400 * 6 = 14_400
14400   Rs.14400nsewer is Rs.14400
Answer: A
The sum of two numbers is 18. Their difference is 4. What are the numbers?
Choose the correct choice from the following answers: A) 8,6 B) 9,9 C) 11,7 D) 15,3 E) 13,9

Solution: Let two numbers be x and y.   Equation (i): x + y = 18   Equation (ii): x - y = 4   Solve system of equations:   2x=22   x=11   y=7   Answer 11,7 is correct.
Answer: C
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? Pick
A) 20:15:15
B) 20:15:11
C) 20:15:12
D) 20:15:19
E) 20:15:16

Solution: 6A = 8B = 10 20:15:12   A:B:20:15:12 = 1/6:1/8:1/10   = 20:15:12   Answer: 20:15:12
Answer: C
Bart has $150,512 dollars in his bank account. He wants to split this money evenly among his nine daughters. What is the least amount of money (in whole number of dollars) that he must remove from his account?	Answers
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 150,512 = 14 and 9 is divisible by 9.   Hence we need to subtract 5 to this number for it to be divisible by 9   Correct Option: 5
Answer: D
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Pick:
A) 287  B) 277  C) 500  D) 888  E) 212

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer: 500
Answer: C
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (7, 0), (0, -3.5), (-7, 0)?
Choose the correct choice from the following answers
A) 56
B) 88
C) 112
D) 49
E) 120

Solution: Area of rhombus= 1/2* 491 *492   Length of 1st diagonal = 7+7= 
7+7 = 14
14   Length of 2nd diagonal= 3.5+3.5= 
3.5+3.5 = 7
7   Area= 1/2*14*7= 
1/2*14*7 = 49
49   49 is the answer
Answer: D
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Answers:  A) 2 kmph.  B) 4 kmph.  C) 5 kmph.  D) 8 kmph.  E) 7 kmph.

Solution: Speed downstream = d/t = 85/(2 1/2) = 34 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph   Answer: 8 kmph.
Answer: D
Pipe P can fill a tank in 3 hours, pipe Q in 9 hours and pipe R in 18 hours. If all the pipes are open, in how many hours will the tank be filled? Choose the correct choice from the following options: A) 2 hours B) 2.4 hours C) 3 hours D) 3.5 hours E) 4.5 hours

Solution: Explanation:   Part filled by (P + Q + R) in 1 hour = (1/3 + 1/9 + 1/18) = 1/2   2 hoursll the three pipes together will fill the tank = 2/1= 
2/1 = 2
2 hours   2 hoursNSWER 2 hours
Answer: A
120 is what percent of 80?  Answers:
A) 0.2% B) 2% C) 5% D) 150% E) 500%

Solution: 120= x*80/100   x = 150%   Ans; 150%
Answer: D
Someone on a skateboard is traveling 8 miles per hour. How many feet does she travel in 5 seconds? (1 mile = 5280 feet)  Options:
A) 60 ft
B) 52 ft
C) 53 ft
D) 55 ft
E) 58.65 ft

Solution: per second => 8*5280 ft/60*60 =11.73 ft   5 seconds => 11.73 * 5= 
11.73 * 5 = 58.65
58.65 ft   Answer : 58.65 ft
Answer: E
A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 375,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes? Choose the correct choice from the following
A) a) 500  B) b) 750  C) c) 1,000  D) d) 1,250  E) e) 1,500

Solution: Since N = 2F, no of Florida zip codes (F) will be N/2.   Since N = 4A, no of Arizona zip codes (A) will be N/4   Since N = (4/3)C, no of California zip codes (C) will be 3N/4   N + N/2 + N/4 + 3N/4 = 5N/2 = 250   N = 100   C = 3N/4 = 75   No of orders is 25% of 375,000 = 93,750   So required ratio = 93,750/75 =1,250   Answer d) 1,250
Answer: D
In a certain company, a third of the workers do not have a retirement plan. 40% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?	Select.
A) 80  B) 95  C) 105  D) 137  E) 210

Solution: 20% of the workerswithoutretirement plan are women, this means 80% of the workerswithoutretirement plan are men right? Makes 100% = no retirement plan.   Then 40% of those wo have a retirement plan are men, which means 60% of those who have a retirement plan are women. These percentages are always refering to the subgroupsRetirement plan = YesandNo Retirement Plan.   Make the total workers equal x and work from there and it should be fine > x/3 have no retirement plan at all. I struggled with the question a lot, it was hard for me although usually I have no problems with sets questions like this. I believe it must be a 700+ question.   Yes, you are right. I read the question incorrectly! I glazed overnotfor some reason.   If20% of the workers who do not have a retirement plan are women,80% who do not have retirement plan are men. Also 40% who do have retirement plan are men. Since 1/3 do not have retirement plan and 2/3 do have, it becomes a simple weighted average question.   Cavg = (60*1 + 40*2)/3 = 140/3% are men   Total = 120*300/140 = 257   No. of women = 257 - 120= 
257 - 120 = 137
137   137
Answer: D
The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 4.4 miles in the fifth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?  Pick one
A) 45	B) 48	C) 51	D) 54	E) 57

Solution: (4.4 miles / 8 minutes)*60 minutes/hour = 33 mph   Let x be the original speed.   x - 4(3) = 33   x = 45 mph   The answer is 45.
Answer: A
The initial price of an article is Rs.4000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ?	Choose the correct choice from the following options
A) Rs.2928
B) Rs.5928
C) Rs.3928
D) Rs.R4928
E) Rs.6928

Solution: The initial price of the article is Rs.4000. In the 1st year, price of the article = 4000 + 1600 = Rs. 5600. In the 2nd year, price = 5600 - 20% of 5600 = 5600 - 1120 = Rs. 4480.   In the 3rd year, price = 4480 + 10% of 4480 = 4480 + 448 = Rs. 4928   Required price = = Rs.4928.   Answer:Rs.R4928
Answer: D
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:  Select the correct option.
A) 3:7
B) 1:5
C) 2:6
D) 3:4
E) 3:2

Solution: Explanation:   Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.   Answer:3:2) 3:2
Answer: E
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer. Choose the correct option:  A) (x + 2y)(3x + 2y)  B) (x + 2y)2 + 2x(x + 2y)  C) (3x + 2y)2 – 2x(3x + 2y)  D) 3x(x + 2y) + 2y(x + 2y)  E) x(3x + 2y) – 2y(3x – 2y)

Solution: Others are equal to 3x2 + 8xy + 4y2   Answer x(3x + 2y) – 2y(3x – 2y)
Answer: E
If x and y are integers and 4^(x-4) = 4^(y+4), what is y in terms of x?	Options:
A) x - 8  B) x - 5  C) x - 2  D) x + 2  E) x + 6

Solution: Answer: A   4^(x-4) = 4^(y+4)   Since the base is the same, I isolated the equations and solved for y.   x-4 = y+4   y=x-8
Answer: A
A girl has 12 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
Choose one:
A) A)100
B) B)102
C) C)108
D) D)144
E) E)112

Solution: The girl can select one jeans in 12 ways.   The girl can select one shirt in 12 ways.   The number of ways in which he can select one jeans and one shirt is 12 * 12= 
12 * 12 = 144
144 ways.   144
Answer: D
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 4 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.	Choose the correct answer.
A) 20cm	B) 25cm	C) 26cm	D) 100/3cm	E) 23cm

Solution: Explanation:   Let breadth = x. Then, length = 2x. Then,   (2x - 5) (x + 4) - 2x * x = 75 => 3x - 25 = 75 => x = 100/3.   Length of the rectangle = 100/3 cm.   Answer: Option 100/3cm
Answer: D
The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part.	Choose the most appropriate option:
A) 108
B) 86
C) 74
D) 92
E) 96

Solution: Explanation:   It is given that 243 has been divided into 3 numbers x y and z for instance.   Second condition mentioned in the question is:   => x/3 = y/4 =z/2   Clearly the biggest number is y. So let us solve w.r.t. y.   => x = 3y/4   => x =3z/2   => z = y/2   => x+y+z = 243   => y/2 + 3y/4 + y = 243   9y/4 = 243   => 243*4/9= 
243*4/9 = 108
> 108   108NSWER 108
Answer: A
If a and b are positive integers and x = 9^a and y = 3^b, which of the following is a possible units digit of xy?  Choose the correct choice from the following
A) 2  B) 4  C) 5  D) 7  E) 8

Solution: The units digit of 9^a is either 1 or 9.   The units digit of 3^b is 3, 9, 7, or 1.   We can multiply the units digits together to see that the units digits of xy could be 1, 3, 7, or 9.   The answer is 7.
Answer: D
Working together, printer A and printer B would finish the task in 30 minutes. Printer A alone would finish the task in 50 minutes. How many pages does the task contain if printer B prints 3 pages a minute more than printer A ?	Choose one: A) 200 B) 400 C) 600 D) 800 E) 900

Solution: 30*A + 30*B = x pages   in 30 mins printer A will print = 30/50 * x pages = 3/5*x pages   thus in 30 mins printer printer B will print x - 3/5*x = 2/5*x pages   Also it is given that printer B prints 3 more pages per min that printer A. In 30 mins printer 400 will print 90 more pages than printer A   thus 3/5*x - 2/5*x = 90 => x = 400 pages   Answer: 400
Answer: B
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?	Options:
A) 19.9
B) 19.3
C) 19.1
D) 19.5
E) 19.4

Solution: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4= 
19/4 = 19/4 = around 4.75
4.75 litres   As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 4.75 : 1.25 = 19 : 5.   Answer: Option 19.5
Answer: D
Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?	Choose the correct choice from the following options:	A) 8	B) 14	C) 43	D) 44	E) 9

Solution: Answer: Option B   This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.
Answer: B
Today John is twice as old as Sam and Sam is 4 years younger than Mike. If John, Sam, and Mike are all alive 5 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike Choose the correct choice:	A) I	B) I, II	C) II	D) III	E) I,II & III

Solution: Say Mike age is 10   Sam age is 6   John age is 12   After 5 years   Mike age is 15   Sam age is 11   John age is 22   i.e ) after 5 years   Sam is 4 years younger than Mike   John is twice as old as Sam   John is older than Mike   Answer : I,II & III
Answer: E
Which of these must the factor G of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Pick:
A) 1,2 only
B) G=2,3 only
C) G=1,2,3 only
D) G=1,2,3,4 only
E) All of them

Solution: Let the four variables be a< b< c< d.   Assume a worst case scenario where the a equal to a prime number (hence odd).   therefore   a = divisible by 1   b = a + 1 (divisible by 2)   c = a + 3 (divisible by 3)   d = a + 4 (divisible by 4)   therefore   each answer choice must be divisible by 2 x 3 x 4 = 24   only 80 is not divisible. Therefore answer = G=1,2,3,4 only
Answer: D
If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.  Choose the correct choice from the following options:
A) 2.5 year	B) 1 year	C) 1.5 year	D) 2 year	E) 0.5 year

Solution: Explanation :   Difference in principal = 3000-2000= 
3000-2000 = 1_000
1000   i.e., Simple Interest on Rs.1000 will be Rs.50   1000×5×T/100=50   50T=50   T=1 year   Answer : Option 1 year
Answer: B
What least number must be added to 3000 to obtain a number exactly divisible by 19 ? Select:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Sol. On dividing 3000 by 19, we get 17 as remainder.   Number to be added = (19 - 17)= 
(19 - 17) = 2
2.   Option 2
Answer: B
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.	Choose the correct answer:  A) 16  B) 18  C) 24  D) 19  E) 12

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   16verage speed = 2x/(x/8) = 16 kmph   16nswer: 16
Answer: A
If a is a number such that –2 ≤ a ≤ 2, which of the following has the largest possible absolute value?	Options.
A) 3a – 1
B) x^2 + 1
C) 3 – x
D) x – 3
E) x^2 – x

Solution: Ans is A .. leads to the max value of 7 for a = -2
Answer: A
A woman bought a pack of 36 eggs, but the seller told her that there were 3 rotten eggs in the pack. She forgot it and begun to prepare a recipe that needs 2 eggs. What is the probability that both choosen eggs will be rotten?  Choose the correct choice
A) 1/210	B) 2/210	C) 3/210	D) 1/119	E) 2/119

Solution: There are 3 rotten eggs in a pack of 36. Thus the probability of picking 2 rotten eggs is: (3/36)(2/35) = 1/210. The correct answer is 1/210.
Answer: A
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 30m/h. what is the speed of the person while he was going to his office?
Choose the correct choice from the following answers:
A) 8km/h  B) 9km/h  C) 10km/h  D) 11km/h  E) 20km/h

Solution: u = k , v= 3k   \inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=30   \inline \Rightarrow 1.5k = 30   \inline \Rightarrow k=20km/h   20km/h
Answer: E
Three numbers are in the ratio 3 : 4 : 5 and their average is 36. The largest number is :
Choose one:
A) 30
B) 98
C) 27
D) 21
E) 45

Solution: 45xplanation:   Let the numbers be 3x, 4x and 5x, Then, (3x + 4x + 5x ) / 3 = 36   => 12x = 36*3   => x = 9   Largest number 5x = 5*9= 
5*9 = 45
45   Answer:45
Answer: E
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Choose the correct choice from the following answers.
A) 1/2 B) 3/4 C) 3/8 D) 5/16 E) 7/16

Solution: n(S)=36   n(E)=27   P(E)=n(S)/n(E)   =27/36   =3/4   Option 3/4
Answer: B
A bag contains 3red, 2blue and 4green balls. If 2 balls are picked at random, what is the probability that both are red?  Options
A) 1/12  B) 1/13  C) 1/14  D) 1/15  E) 1/18

Solution: P(Both are red),   =3C2/9C2=1/12   1/12
Answer: A
A father is now three times as old as his son. Four years back, he was four times as old as his son. The age of the son (in years) is Pick one:	A) 12	B) 15	C) 18	D) 20	E) 25

Solution: If father's age is F and son's age is S, then   F=3S   and   F-4 = 4*(S-4)   3S-4 =4S-16   S=12   F=36 years   12NSWER:12
Answer: A
The average age of a husband and a wife is 23 years when they were married THREE years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child? Choose the correct answer
A) 6 B) 5 C) 8 D) 4 E) 2

Solution: 26 * 2= 
26 * 2 = 52
52   20 * 3= 
20 * 3 = 60
60   -----------   8 years.Answer: 8
Answer: C
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 5 and 6hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?  Choose the correct choice:
A) 8hrs 25min. (AM)	B) 8hrs 54min. (AM)	C) 7hrs 45min. (AM)	D) 7hrs 15 min. (AM)	E) 7hrs 30min. (AM)

Solution: 1 to 2 = 1/5   2 to 3 = 1/5 + 1/6 = 11/30   After 3 AM = 1/5 + 1/6 - 1/2= -4/30   1/5 + 11/30 = 17/30   1 h ---- 4/30   ? ----- 17/30   7hrs 15 min. (AM)   Answer:7hrs 15 min. (AM)
Answer: D
How many different sets of positive square integers S, each greater than 1, add up to 75? Pick one:
A) 1  B) 4  C) 7  D) 11  E) 13

Solution: 13= 13 is the correct answer.
Answer: E
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 15 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Pick one:
A) 28%	B) 40%	C) 68%	D) 70%	E) 72%

Solution: Let initial price be 1000   Price in day 1 after 10% discount = 900   Price in day 2 after 15% discount = 765   Price in day 3 after 20% discount = 612   So, Price in day 3 as percentage of the sale price on day 1 will be = 612/900*100= 
612/900*100 = 68
> 68%   Answer will definitely be (68%)
Answer: C
How many times hour hand covers full circle in a day?
Select:
A) 3 times  B) 2 times  C) 4 times  D) 5 times  E) once

Solution: 2 times   ANSWER:2 times
Answer: B
To save money, Branded company Cheese will reduce each dimension of its rectangular box container (which is entirely full of cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cheese? Choose the correct choice from the following answers:	A) 1. No change	B) 2. 50%	C) 3. 100%	D) 4. 200%	E) 5. 300%

Solution: If the current volume is L * W * H, then the new volume is 12 (L) * 12 (W) * 12 (H), or 18 * LWH. So the new portion is 1/8 the size of the old portion. But the new cost is only ½ the cost, meaning that if the old price-per-unit was 1:1, now it’s 12 : 18, or 4:1. So the consumer is paying 400% of what it used to, or 300% more than it used to. The answer is therefore 5. 300%.
Answer: E
A board of length L feet is cut into two pieces such that the length of piece A is 3 feet less than twice the length of piece B. Which of the following is the length, in feet, of piece A? Choose the correct choice from the following answers
A) (L - 1)/2
B) (2L + 3)/3
C) (L + 1)/3
D) (2L + 2)/3
E) (2L - 3)/3

Solution: A+B = L so we know that B = L - A.   A = 2B-3   A = 2(L-A) - 3   3A = 2L - 3   A = (2L-3) / 3   The answer is (2L - 3)/3.
Answer: E
A man’s current age is of the age of his father. After 8 years, he will be of the age of his father. What is the age of father at now ?
Select
A) 50  B) 40  C) 33  D) 30  E) 35

Solution: Explanation:   Let, father’s current age is A years.   Then, Man’s current age = years.   2/5A+8=1/2(A+8)= A= 40. Answer: 40
Answer: B
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 3 years would be  Choose the correct choice:  A) (1.5)^4  B) 4(1.5)  C) (1.05)^3  D) 1 + (0.05)^4  E) 1 + 4(0.05)

Solution: f John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 3 years would be   1(1.05)^3   1.05^3   C. (1.05)^3
Answer: C
Four kids having five rocks each were playing a game in which they need to throw the rock at solid area in the water.
Kid1: Succeeded in throwing three rocks at solid area but one of the rock sunk.
Kid3: His aim was so bad that all rocks got sunk.
Kid4: He was awesome and none of the rocks got sunk.
Kid2 was the winner but was struck by a rock in the head and died.
Who killed Kid2 ?
Choose the correct choice from the following answers:
A) Kid1	B) Kid2	C) Kid3	D) Kid4	E) None of above

Solution: Kid1   Kid1, he was left with one rock.
Answer: A
If a - b = 3 and a(power 2) + b(power 2) = 25, find the value of ab. Choose the correct choice from the following answers.
A) 5  B) 8  C) 4  D) 10  E) 3

Solution: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)   = 25 - 9= 
25 - 9 = 16
16   ab= 8.   Answer is 8.
Answer: B
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price? Select the correct option:
A) 2281
B) 2771
C) 1500
D) 2777
E) 1711

Solution: Let the cost price of an article be Rs. x.   (19% of x) - (12% of x) = 105   19x/100 - 12x/100 = 105 => 7x = 105 * 100   => x = 1500   Cost price = Rs. 1500   Answer: 1500
Answer: C
The total number of digits used in numbering the pages of a book having 366 pages is Select:  A) 732  B) 990  C) 1098  D) 1305  E) 1405

Solution: Total number of digits   = (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)   = (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801)= 
(9 + 180 + 801) = 990
990.   ANSWER:990
Answer: B
6 noun, 3 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??	Answers:
A) 294 B) 310 C) 324 D) 360 E) 440

Solution: we have to choose one from each set. 1 from 6 nouns and 1 from 3 verbs and 1 from 3 adjectives.   then we have to arrange 3 different sets in 3! ways.   so,   6c1*3c1*3c1*3!=324   ANSWER:324
Answer: C