MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the Unit’s digit in the product (76^41) * (41^14) * (14^87) * (87^76)	Choose the correct option:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: units digit of 87^76 = 1 because 87^3n+1 has units place as 1   units digit of 14^87 = 4 because 14^(some odd no.) has units place as 4   units digit of 41^14 = 1 because 41^(some even no. )has units place as 1   units digit of 76^41 = 6 because 76^(any positive no.)has units place as 6   so , units digit of the product is = " 4 " (units digit of 1*4*1*6)   ANSWER:4
Answer: D
If ABC is a quarter circle and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle	Pick one:
A) 0.48	B) 0.58	C) 0.68	D) 0.78	E) 0.88

Solution: if r be radius of smaller circle then   distance b/n centres = √2 * r   so, r + r√2 = R here,R = 1.414 =√2   => r=(√2 -1)R   r = 0 .586 unit   ANSWER:0.58
Answer: B
A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 7. What are the coordinates of P?
Pick.
A) (5/8, 5/8)
B) (15/8, 15/8)
C) (45/8, 45/8)
D) (21/8, 21/8)
E) (53/8, 53/8)

Solution: The equation of the straight line is y = x, so the x- and y-coordinates of P are the same.   The x, y coordinates are 7/8 of the distance from 3 to 6.   x = 3 + (6-3)*(7/8) = 3 + 21/8 = 45/8 = y   The answer is (45/8, 45/8).
Answer: C
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?	Pick one
A) 81000	B) 81028	C) 27772	D) 29889	E) 22312

Solution: 64000* 9/8 * 9/8 = 81000.81000nswer:81000
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Choose the correct choice
A) 56
B) 78
C) 27
D) 79
E) 50

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 3= 
50/3 * 3 = 50
50 m   Answer: 50
Answer: E
If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?	Answers:
A) 3389  B) 3800  C) 2378  D) 2203  E) 2625

Solution: Final answer = (10 1/2 - 4 2/3) * 450   = 5 5/6 * 450 = 5 * 450 + 5/6 * 450   = 2250 + 375= 
2250 + 375 = 2_625
2625.   Answer: 2625
Answer: E
The average of ten numbers is 7. If each number is multiplied by 11, then what is the average of the new set of numbers?	Select:
A) 11
B) 18
C) 77
D) 110
E) 121

Solution: The sum of the ten numbers is 7*10= 
7*10 = 70
70   If each number is multiplied by 11, the new sum is 11*(70).   The average is then   11*7= 
  11*7 = 77
77   The answer is 77.
Answer: C
Two cars cover the same distance at the speed of 80 and 84 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car? Select the correct option.
A) 1350  B) 1000  C) 1200  D) 1400  E) 1100

Solution: 80(x + 1) = 84x   X = 20   60 * 20= 
60 * 20 = 1_200
1200 km   Answer:1200
Answer: C
8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her child and herself was 26 years.  Select:
A) 15 years B) 26 years C) 16 years D) 11 years E) 12 years

Solution: Explanation:   Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.   so, if the age of his child be x (presently)   Then the age of wife be x + 26 (presently)   Thus the total age = x + ( x + 26) = 32 [\inline \because  252-220= 
 252-220 = 32
32]   \inline \Rightarrow x= 3   \inline \therefore The age of her child is 3 years and her self is 29 years. Hence her age at the time of the birth of her child was 26 years.   Answer: 26 years
Answer: B
In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Choose the most appropriate option:
A) px/B	B) px/(B(B - P))	C) x/(B - P)	D) p/(B - Px)	E) p/(B(B - p))

Solution: No of cakes each parent has to bake : x/px/(B(B - P))   No of parents did not bake cake = p   No of cakes that were not baked by p parents = p*x/px/(B(B - P))   No of parents has to bake additional cakes = px/(B(B - P))-p   additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes = px/(px/(B(B - P))(px/(B(B - P)) - P))   Answer px/(B(B - P))
Answer: B
Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 25 skiers were CPR certified and 31 were not. How many skiers tried out for the ski patrol?  Choose the correct choice
A) 40  B) 50  C) 60  D) 70  E) 80

Solution: Not Selected = 80%   If total is x.   Then 0.8x=25+31= 
25+31 = 56
56   x=70   Hence answer is 70.
Answer: D
How many litres of pure acid are there in 4 litres of a 35% solution	Answers
A) 1.5	B) 1.6	C) 1.7	D) 1.8	E) 1.4

Solution: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 8 * 20/100 = 1.4 Answer: Option 1.4
Answer: E
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 5 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Choices.
A) 6 hours
B) 8 hours
C) 10 hours
D) 12 hours
E) 15 hours

Solution: If one car travelled 2/3, then the other car must have travelled only 1/3, as they are meeting after 5 hours in a certain point. So:   (1/3)XY= 4*y --> It took the car 5 hours to travel 1/3 of the distance at a constant speed y.   So if we solve this last equation:   XY= 3*5*y= 15*y --> It will take this car 15 hours in total to reach its final destination.   Answer: 15 hours
Answer: E
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 45 and the turban. Find the price of the turban.	Select the correct option:
A) 27  B) 36  C) 29  D) 90  E) 11

Solution: Let the price of turban be x.   Thus, for one year the salary = (90 + x)   For 9 months he should earn 3434 (90 + x).   Now he gets one turban and Rs. 45.   Thus, 3434 (90 + x) = 45 + x or 270 + 3x = 180 + 4x or x = 90   Answer:90
Answer: D
The only people in each of rooms A and B are students, and each student in each of rooms A and B is either a junior or a senior. The ratio of the number of juniors to the number of seniors in room A is 4 to 5, the ratio of the number of juniors to the number of seniors in room B is 3 to 17, and the ratio of the total number of juniors in both rooms A and B to the total number of seniors in both rooms A and B is 5 to 7. What is the ratio of the total number of students in room A to the total number of students in room B ?  Choices
A) 29/12 B) 59/10 C) 65/8 D) 48/5 E) 29/3

Solution: Ratio in A: 4/5 so total students in A = 9x   Ratio in B: 3/17 so total students in B = 20y   (4x+3y)/(5x+17y) = 5/7   solving, x/y = 64/3   required ratio = 9x/20y = (64*9)/(3*20) = 48/5   ANSWER:48/5
Answer: D
Ahmed, Babu, Chitra, David and Eesha each choose a large different number. Ahmed says, “ My number is not the largest and not the smallest”. Babu says, “My number is not the largest and not the smallest”. Chitra says, “My number is the largest”. David says, “ My number is the smallest”. Eesha says, “ My number is not the smallest”. Exactly one of the five children is lying. The others are telling the truth. Who has the largest number?  Choose one
A) Eesha  B) David  C) Chitra  D) Babu  E) EEEW

Solution: Largest ->	Eesha	B	C	D	E   Eesha	F	T/F	T/F	T/F	T/F   B	T/F	F	T/F	T/F	T/F   C	F	F	T	F	F   D	T/F	T/F	T/F	F	T/F   E	T/F	T/F	T/F	T/F	T   Eeshans: Eesha
Answer: A
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x  Select.
A) 23 B) 26 C) 36 D) 35 E) 45

Solution: (35)   The pattern is + 3, + 5, + 3, + 5, …………   So the missing term is = 30 + 5= 
30 + 5 = 35
35.
Answer: D
Meera purchased two three items from a shop. Total price for three items is Rs.6000/- She have given Rs. 10000/- What is the balance amount meera got?
Pick:
A) 6000
B) 3500
C) 5000
D) 4000
E) 7500

Solution: Total cost of Items : 6000/-   amount Paid : 10000/-   Balance receivable : 10000- 6000= 
10000- 6000 = 4_000
4000/-   Answer is 4000
Answer: D
Ifaequals the sum of the even integers from 2 to 40, inclusive, andbequals the sum of the odd integers from 1 to 39, inclusive, what is the value of a - b ?  Pick:
A) 1
B) 10
C) 19
D) 20
E) 21

Solution: This is a solution from Beatthegmat:   even numbers:   (40-2)/2 + 1= 
(40-2)/2 + 1 = 20
20 even integers.   (40+2)/2= 
(40+2)/2 = 21
21 is the average of the even set.   sum= avg*(#of elements) = 21*20= 
21*20 = 420
420= a   odd numbers:   (39-1)/2 + 1= 
(39-1)/2 + 1 = 20
20 odd integers.   (39+1)/2= 
(39+1)/2 = 20
20 is the average of the odd set.   sum= avg*(#of elements) = 20*20= 
20*20 = 400
400= b   a-b = 420 - 400= 
420 - 400 = 20
20.   Answer : 20
Answer: D
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 48 now, the son age 5 years back was Choices:
A) 14	B) 17	C) 11	D) 19	E) 99

Solution: Let the son's present age be x years .Then, (48 - x) = x x= 24.   Son's age 5 years back = (24 - 5)= 
(24 - 5) = 19
19 years   Answer: 19
Answer: D
Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.Jones have initially?
Select the correct option.
A) 100	B) 1000000	C) 1000	D) 1	E) 10000

Solution: Let the initial amount with Mr.Jones be Rs.x   Then, (1/2)[100-(3*20)]% of x=12000    (1/2)*(40/100)*(60/100)*x=12000   x=((12000*25)/3)= 
((12000*25)/3) = 100_000
100000   ANSWER 1000000
Answer: B
What number has a 5:1 ratio to the number 10?
Choose the correct choice from the following options: A) 42 B) 50 C) 55 D) 62 E) 65

Solution: Explanation:   5:1 = x: 10   x = 50   ANSWER IS 50
Answer: B
An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?
--  Choose the correct choice from the following answers:
A) 12	B) 19	C) 90	D) 180	E) 720

Solution: 5C4 * 4C2 * 3C2 = 5*6*3= 
5*6*3 = 90
90.   Answer: 90.
Answer: C
A construction company wants to number new houses using digit plates only. If the company puts an order for 312 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).  Choose the correct choice from the following answers:
A) 140
B) 150
C) 160
D) 170
E) 180

Solution: You know that the answer is going to be three digits, and it's easy to figure out how many 1 and 2 digit numbers (9 and 90), so the real question is how many 3 digit number are there?   99+(312-9-90*2)/3= 
99+(312-9-90*2)/3 = 140
140   140nswer : 140
Answer: A
Find the average of all prime numbers between 12 and 24.	Choose the correct choice from the following
A) 30	B) 33.6	C) 18	D) 20	E) None

Solution: Sol.   There are five prime numbers between 12 and 24.   They are 13, 17, 19, 23   âˆ´ Required average = [13+ 17+ 19+ 23 / 4] = 72/ 4= 
72/ 4 = 18
18   Answer 18
Answer: C
A man can swim in still water at 5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct option
A) 1.78 B) 1.667 C) 1.15 D) 1.5 E) 1.2

Solution: M = 5   S = x   DS = 5 + x   US = 5 - x   5 + x = (5 - x)2   5 + x = 10 -2x   3x = 5   x = 1.667   Answer:1.667
Answer: B
In the parking lot there are 28 vehicles, 18 of them are buses, and the rest are cars. The color of 14 vehicles is red, of which 11 are buses. How many cars can be found in the parking lot which are not colored red?  Choose the correct option
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: The number of cars is 28-18= 
28-18 = 10
10.   The number of red cars is   14-11= 
  14-11 = 3
3.   The number of cars which are not red is  10-3= 
 10-3 = 7
7.   The answer is 7.
Answer: A
In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons? Choose the correct choice:
A) A)160
B) B)170
C) C)190
D) D)210
E) E)120

Solution: 6p2 = 6 × 5 x 4= 120   Option '120'
Answer: E
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Select
A) 1245 m^2  B) 1345 m^2  C) 2520 m^2  D) 2560 m^2  E) 2678 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
A train crosses a platform of 170 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?  Choose the correct choice from the following answers
A) A)150m	B) B)170m	C) C)180m	D) D)70m	E) E)350m

Solution: Length of the train be ‘X’   X + 170/15 = X + 250/20   4X + 680 = 3X + 750   X = 70m   Answer: 70m
Answer: D
In how many different ways can the letters of the word 'EVE' be arranged?  Select the correct option:
A) 3 ways
B) 20 ways
C) 30 ways
D) 60 ways
E) 40 ways

Solution: Totally there are 3 letters on the word EVE. it contains 2E,1V.   The no of ways is 3!/2!=3 ways.   3 waysNSWER:3 ways
Answer: A
Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?  Choose the correct choice from the following answers
A) 7508  B) 7500  C) 7506  D) 7566  E) 7508

Solution: Let Mohan's salary be Rs.100.   When increased by 20%, Mohan's salary = Rs.120   Again when decreased by 20%, Mohan's salary = 120 - 24 = Rs. 96.   But present salary is Rs. 7200   for, 96 ---> 100 ; 7200 ---> ?   Required salary is 7200/96 * 100 = Rs.7500   Answer: 7500
Answer: B
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 65520 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.	Choose the correct option:	A) 130000	B) 12500	C) 14000	D) 12000	E) None of these

Solution: Explanation :   Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 65520.   (75/100 * 96/100 * 70/100 * x) = 65520.   => x = (65520*100*100*100)/(75*96*70)= 
(65520*100*100*100)/(75*96*70) = 130_000
130000   130000nswer : 130000
Answer: A
In how many different number of ways 4 boys and 4 girls can sit on a bench such that girls always sit together.
Choices
A) A)720  B) B)2000  C) C)2880  D) D)780  E) E)790

Solution: 2880   Option '2880'
Answer: C
How many values of c in x^2 - 5x + c, result in rational roots which are integers?  Pick:
A) 23
B) 27
C) 25
D) 12
E) 82

Solution: Explanation:   By the quadratic formula, the roots of x2−5x+c=0x2−5x+c=0 are −(−5)±−52−4(1)(c)−−−−−−−−−−−√2(1)−(−5)±−52−4(1)(c)2(1) = 5±25−4c−−−−−−√25±25−4c2   To get rational roots, 25−4c25−4c should be square of an odd number. Why? because 5 + odd only divided by 2 perfectly.   Now let 25 - 4c = 1, then c = 6   If 25 - 4c = 9, then c = 4   If 25 - 4c = 25, then c = 0 and so on...   So infinite values are possible.   Answer:25
Answer: C
What percent of a day is five hours?
Choices.
A) 20.83%
B) 16x1/2%
C) 18x2/3%
D) 22x1/2%
E) None of these

Solution: Explanation :   Required percentage = (5/24100)%   = (125 / 6)%.   = 20.83%.   20.83%nswer : 20.83%
Answer: A
A and B started a business investing Rs. 24,000 and Rs 18,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively? Choose the correct choice from the following.
A) 4 : 3	B) 9:2	C) 18:20	D) 1:4	E) 18:4

Solution: 4 : 3: B =24000 : 18000 = 8 : 6 = 4 : 3   4 : 3NSWER:4 : 3
Answer: A
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?	Choose the correct choice from the following choices:	A) 3	B) 7	C) 5	D) 9	E) 6

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer: 3
Answer: A
If a man lost 4% by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44%?	Choose the correct choice from the following choices:
A) 1
B) 8
C) 9
D) 4
E) 32

Solution: 96% ---- 48   144% ---- ?     96/144 * 48= 
  96/144 * 48 = 32
32   Answer: 32
Answer: E
Train X and train Y pass one another traveling in opposite directions. Twelve minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
Choose the most appropriate option.
A) 28  B) 40  C) 53  D) 72  E) 80

Solution: Let the rate of the Train Y be R   Then the rate of the Train X will be R+30 (given)   As per relative rate concept, the rate at which they are increasing the distance between them is R+(R+30) [add the rates] i.e. 2R+30   d=100 and t = 12 min i.e 12/60 hr   using RTD table, (2R+30) * 12/60 = 100 ==> R= 235 miles/hr   So the rate of train X is 265 miles/hr (since R+30)   The distance traveled by Train X in 12 min is R*T = 265 * 12/60= 
265 * 12/60 = 53
53 miles (53)
Answer: C
The forth proportional to 5,8,15 is? Choose the correct choice
A) 15
B) 12
C) 18
D) 20
E) 24

Solution: Let the fourth proportional to 5,8,15 be x   then 5:8::15:x   5x = 8*15   x = 24   Answer is 24
Answer: E
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is? Choose the correct choice from the following options:
A) 200
B) 400
C) 450
D) 500
E) None

Solution: Let the numbers be x and y.   Then, xy = 9375 and x = 15.   y   xy = 9375   (x/y) 15   y2 = 625.   y = 25.   x = 15y = (15 x 25) = 375.   Sum of the numbers = x + y = 375 + 25= 
375 + 25 = 400
400.   Option is 400
Answer: B
On a trip, a cyclist averaged 12 miles per hour for the first 18 miles and 10 miles per hour for the remaining 18 miles. If the cyclist returned immediately via the same route and took a total of 7.3 hours for the round trip, what was the average speed (in miles per hour) for the return trip? Choose the most appropriate option:  A) 8.4  B) 8.6  C) 8.8  D) 9  E) 9.2

Solution: The time to go 36 miles was 18/12+18/10=1.5+1.8= 
1.5+1.8 = 3.3
3.3 hours.   The average speed for the return trip was 36 miles/4 hours= 9 mph.   The answer is 9.
Answer: D
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are white,black, red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the nine socks?  Pick one.
A) 12 B) 15 C) 21 D) 36 E) 72

Solution: It's a question of permutation since order matters here ....   It can be deduced to-   9P2 = 9!/7! = 9*8= 
9*8 = 72
72 .........Answer is - 72
Answer: E
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:  Choose the correct choice from the following:
A) Rs. 3700	B) Rs. 3800	C) Rs. 3900	D) Rs. 4000	E) Rs. 4900

Solution: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.   Then, 10x = 4y or y = 5 x.   2   15x + 2y = 4000   15x + 2 x 5 x = 4000   2   20x = 4000   x = 200.   So, y = 5 x 200 = 500.   2   Hence, the cost of 12 chairs and 3 tables = 12x + 3y   = Rs. (2400 + 1500)   = Rs. 3900.   Rs. 3900)
Answer: C
Consider a Number 3.1n3
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number? Choose the correct choice from the following options:  A) 2  B) 1  C) 3  D) 4  E) 5

Solution: In this ques we are given the thousandth digit as 3, so the hundreth digit can take any value from 0-9. For the hundreth digit i considered 2 set of values (i) 0, 1, 2, 3 and (ii) 4, 5, 6, 7, 8, 9. Given that the thousandth digit is 3, the hundreth digit has to go up by 0, and correspondingly, the tenth digit should remain same.i.e 0-9.say 1   1
Answer: B
Tomy started a software business by investing Rs.50,000. After 6months, Nanda joined her with a capital of $80,000. After 3years, they earned a profit of $24,500. What was Simran's share in the profit?	Choose the correct choice from the following answers: A) $8,500 B) $9,500 C) 10,500 dollars D) $11,500 E) $12,500

Solution: Tomy : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.   Tomy 's share = $24500 x	3/7	= $10,500.   10,500 dollars
Answer: C
If the radii of umbra and penumbra cast by an object on a wall are of the ratio 2:6, what is the area of the penumbra ring around the umbra of the latter’s radius is 40 cms?  Choose one: A) 40288.57 centimeter square B) 40388.57cm^2 C) 40488.57cm^2 D) 40588.57cm^2 E) 40688.57cm^2

Solution: et the radius of umbra and penumbra are 2k and 6k.   Then as given radius of umbra=40cm   so 2k=40   k=20   radius of penumbra=20*6= 
20*6 = 120
120   area of penumbra ring around the umbra= area of penumbra-area of umbra   22/7*[(120)^2-(40)^2]   =40288.57cm^2   40288.57 centimeter squareNSWER:40288.57 centimeter square
Answer: A
A circle in the coordinate plane passes through points (-3, -2) and (1, -4). What is the smallest possible area of that circle?	Choose one: A) 13π B) 26π C) 262√π D) 5π E) 64π

Solution: The distance between the two points is sqrt(20).   radius = sqrt(20)/2   Area= pi*(sqrt(20)/2)^2   D. 5π
Answer: D
A cube with volume of 125 cm^3 is dropped in a fish tank with dimensions 3 m x 1 m x 2 m. If the tank is full of water, how much water will remain after the cube is droppped?
Choose the correct choice from the following choices: A) 5.9999999 m^3 B) 5.725 m^3 C) 5.650 m^3 D) 5.999875 m^3 E) 5999.725 m^3

Solution: Volume of fish tank = 3m x 1m x 2m = 6 m^3   125 cm^3 x (1 m^3 / 1,000,000 cm^3) = 0.000125 m^3   6-.000125= 
6-.000125 = 5.999875
5.999875 m^3   Answer is 5.999875 m^3
Answer: D
Two pipes can fill a tank in 20 minutes and 15 minutes. An outlet pipe can empty the tank in 10 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?  Options: A) 36 B) 42 C) 48 D) 54 E) 60

Solution: Let V be the volume of the tank.   The rate per minute at which the tank is filled is:   V/20 + V/15 - V/10 = V/60 per minute   The tank will be filled in 60 minutes.   The answer is 60.
Answer: E
The fourteen digits of a credit card are to be written in the boxes shown above. If the sum of every three consecutive digits is 18, then the value of x is :  Choose the correct choice: A) 1 B) 3 C) 8 D) 7 E) 9

Solution: Sol : A   Explanation:   Let us assume right most two squares are a , b   Then Sum of all the squares = 18 x 4 + a + b .......... (1)   Also Sum of the squares before 7 = 18   Sum of the squares between 7, x = 18   and sum of the squares between x , 8 = 18   So Sum of the 14 squares = 18 + 7 + 18 + x + 18 + 8 + a + b (2)   Equating 1 and 2 we get x = 3   Answer:3
Answer: B
f(x) = 1/(1-x) find(f(f(f(x)))  Pick
A) 1  B) x  C) 2x  D) 3x  E) 0

Solution: f(x) = 1/(1-x)   ==>f(f(x)) = f(1/(1-x))   = 1/(1-(1/(1-x)))   = 1/((1-x-1)/(1-x))   = 1/(-x/(1-x))   = x-1/x   ==> (f(f(f(x)))=f(x-1/x)   = 1/(1-(x-1/x))   = 1/((x-x+1)/x)   = 1/(1/x)   = x   ANSWER:x
Answer: B
What is the rate percent when the simple interest on Rs.800 amount to Rs.192 in 4 Years?
Choose one.
A) 5%  B) 6%  C) 3%  D) 9%  E) 1%

Solution: 192 = (800*4*R)/100   R = 6%   Answer: 6%
Answer: B