MU-NLPC/Calc-aqua_rat huggingface dataset:
A sum of money is distributed among A,B,C,D in the proportion of 5:3:2:3. If A gets $1000 more than B, what is the C's share?	Choose the most appropriate option
A) $2000 B) $5000 C) $8000 D) $1500 E) $1000

Solution: Let the shares of A,B,C,D are 5x,3x,2x,3x   5x-3x = 1000   x = 500   C's share = 2x = $1000   Answer is $1000
Answer: E
A trumpet section includes three musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?  Options
A) 240  B) 125  C) 120  D) 100  E) 6

Solution: We have a word problem using permutations. We must identify the number of total items in the group. There are three possible musicians who could be placed in the first chair, two possible musicians for the second, one for the third. To determine the number of possible orderings, we multiply these numbers, which we can express as 3!. Now 3! = (3)(2)(1) = 6=6.
Answer: E
What is the 14th digit to the right of the decimal point in the decimal equivalent of 82/11? Choose the correct option:
A) 4 B) 3 C) 1 D) 5 E) 7

Solution: 82/11 = 7.4545....   45 is non-repeating terminating decimal.   The 14th digit to the right of decimal point will be 5.   Answer 5
Answer: D
Find the area of a parallelogram with base 22 cm and height 21 cm? Options
A) 462 cm2
B) 478 cm2
C) 490 cm2
D) 268 cm2
E) 668 cm2

Solution: 462 cm2rea of a parallelogram = base * height   = 22 * 21= 
22 * 21 = 462
462 cm2   462 cm2nswer: 462 cm2
Answer: A
If B takes 20% less time than A, to cover the same distance. What should be the speed of B, if A works at a rate of 10 km/hr?
Choose the most appropriate option:  A) 12.5 km/hr  B) 10 km/hr  C) 15 km/hr  D) 20 km/hr  E) 25 km/hr

Solution: Explanation:   S1 = 10 kmph   if T1 = 100   T2 = 80   10 x 100 = 80 x S2   S2 = 12.5 km/hr   12.5 km/hrnswer: Option 12.5 km/hr
Answer: A
A sequence of numbers a1a1, a2a2, a3a3,…. is defined as follows: a1=3a1=3, a_2 = 5, and every term in the sequence after a2a2 is the product of all terms in the sequence preceding it, e.g, a3=(a1)(a2)a3=(a1)(a2) and a4=(a1)(a2)(a3)a4=(a1)(a2)(a3). If an=tan=t and n>2n>2, what is the value of an+2an+2 in terms of t?	Choose the correct choice from the following choices.
A) 4t
B) t^2
C) t^3
D) t^4
E) t^8

Solution: An = (A1)(A2)......(An-1) = t   An+1 = t * An = t^2   An+2 = t * An * An+1 = t * t * t^2 = t^4   Answer: t^4
Answer: D
If a boat goes 7km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is ?
Select.
A) 13km/hr	B) 52km/hr	C) 85km/hr	D) 2.8km/hr	E) 5.98km/hr

Solution: Rate upsteram =(7/42*60)= 
(7/42*60) = 10
10kmph.   speed of the stream=3kmph let speed in still water be xkm/hr. then speed upstream=(x-3)km/hr. x-3=10==>x=13km/hr 13km/hrnswer(13km/hr)
Answer: A
The ratio between speed of the two trains is 7:8. If the 2nd train runs 400 km in 4 hrs, what is the speed of the 1st train?  Choose the correct choice
A) 87.9  B) 87.5  C) 87.7  D) 87.6  E) 43.3

Solution: Answer: b   Explanation:   Speed of 2nd train = 400/4= 
400/4 = 100
100 kmph   Since the ratios are in 7 : 8   Speed of First train= 7/8 × 100 = 87.5 kmph   Answer:87.5
Answer: B
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? Answers
A) 2 : 3 : 4 B) 6 : 7 : 8 C) 6 : 8 : 9 D) 4 : 6 : 8 E) None of these

Solution: Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.   Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).   (140/100 * 5x), (150/100 * 7x) and (175/100* 8x)   7x, 21x/2 and 14x   The required ratio = 7x : 21x/2 : 14x   14x : 21x : 28x   2 : 3 : 4   2 : 3 : 4nswer = 2 : 3 : 4
Answer: A
A loan shark made a loan of $100 to be repaid with $120 at the end of one month. What was the annual interest rate?  Choose one.
A) 210% B) 220% C) 230% D) 240% E) None of these

Solution: Explanation:   r=I/PT   Answer: 240%
Answer: D
In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of david, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?
Pick.
A) 1,008
B) 1,296
C) 2016
D) 2,018
E) 2,268

Solution: Place A and E first: 8 options for D, 7 options for E.   We are left with 6 empty places. D, B and C must take first 3 places and F, G, H must take the remaining three.D, B and C can be arranged in their places in 3! ways. The same for F, G, and H.   Total = 8*7*3!*3! = 2,016.   Answer: 2016
Answer: C
Two squares are chosen on a chessboard at random. What is the probability that they have a side in common?	Select
A) 1/18
B) 64/4032
C) 63/64
D) 1/9
E) 2/9

Solution: In 64 squares, there are:   (1) 4 at-corner squares, each has ONLY 2 squares each having a side in common with...   (2) 6*4 = 24 side squares, each has ONLY 3 squares such that each has a side in common with...   (3) 6*6 = 36 inner squares, each has 4 squares such that each has a side in common with...   So we have the calculation:   P = (4/64)*(2/63) + (24/64)*(3/63)+ (36/64)*(4/63)   P = 1/18   1/18NSWER:1/18
Answer: A
City X has a population 5 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?	Select:
A) 1:8 B) 1:4 C) 2:1 D) 4:1 E) 10:1

Solution: x= 5y, y= 2*z   X : Y , Y : Z   5 : 1 , 2 : 1   10 : 2 , 2 : 1   So, X : Z = 10 : 1   (10:1)
Answer: E
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45kg. What is the weight of the new person?
Choose the correct answer: A) 75 Kg B) 65 Kg C) 85 Kg D) 80 Kg E) 60 KG

Solution: Explanation:   Total increase in weight = 8 Ã— 2.5 = 20   If x is the weight of the new person, total increase in weight = xâˆ’45   => 20 = x - 45   => x = 20 + 45= 
20 + 45 = 65
65   Answer: Option 65 Kg
Answer: B
It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Pick:  A) 8:50 a.m  B) 8:00 a.m  C) 7:50 a.m  D) 6:50 a.m  E) 9:50 a.m

Solution: The time it takes John to get to work: time to walk to car park + time to drive     15 + 45= 
  15 + 45 = 60
60 minutes= 1 hour   John needs to get out of the house 1 hour before 9:00 am at   9:00 - 1:00 = 8:00 a.m   correct answer 8:00 a.m
Answer: B
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Select:
A) 1/200  B) 1/59  C) 1/56  D) 1/54  E) 1/53

Solution: The probability of selecting girl is: 25/100 = 1/4   The probability of selecting rich is: 20/100 = 1/5   The probability of selecting fair complexioned is: 10/100 = 1/10   Three are independent;probability of rich and fair complexioned girl is:   (1/4) Ã—(1/5) Ã— (1/10) = 1/200   1/200nswer: 1/200
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?	Choose one
A) 2/29 B) 2/26 C) 2/21 D) 2/22 E) 4/21

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³2/21₂/¹⁵2/21₂ = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = ²2/21₂/¹⁵2/21₂ = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow = (³2/21₁ * ²2/21₁)/¹⁵2/21₂ = (2 * 3 * 2)/(15 * 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35) = 2/21   Answer:2/21
Answer: C
A train running at 54 kmph takes 20 seconds to pass a platform. Next it takes.12 sec to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform  Select
A) 120m
B) 125m
C) 132m
D) 140m
E) 150m

Solution: Explanation:   Let the length of train be x metres and length of platform be y metres.   Speed of the train relative to man = (54 - 6)= 
(54 - 6) = 48
48 kmph= 48×(5/18) m/sec = 40/3 m/sec.   In passing a man, the train covers its own length with relative speed.   Length of train = (Relative speed × Time) = ( 40/3)×12 m = 160 m.   Also, speed of the train = 54 ×(5/18)m / sec = 15 m / sec.   (x+y)/15 = 20 <=> x + y = 300 <=> Y = (300 - 160)= 
(300 - 160) = 140
140 m.   Answer: Option 140m
Answer: D
Two trains 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Select: A) 10.9 sec B) 10.1 sec C) 10.6 sec D) 10.8 sec E) 12.24 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other   = 140 + 200= 
140 + 200 = 340
340 m.   Required time= 340 * 9/250= 
340 * 9/250 = 306/25 = around 12.24
12.24 sec.   Answer:12.24 sec
Answer: E
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?	Answers: A) 1000 B) 2777 C) 2976 D) 2988 E) 7122

Solution: 2 * 22/7 * 1.75 * x = 11000   x = 1000   1000nswer: 1000
Answer: A
On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 12),
what is the maximum possible area of C?  Choose the most appropriate option.
A) 6 B) 9 C) 24 D) 32 E) 64

Solution: I think that theintentof this question is that the circle will have NO CO-ORDINATES that fit the following 2 forms: (0, Y) or (X, 0). In real basic terms, this circle will NEITHER touch (nor cross) the X-axis NOR will it touch (nor cross) the Y-axis.   With a center at (3,8), the longest possible radius would ALMOST touch the X-axis, so the radius would be a little less than 3.   If the radius WAS 3 exactly, then the area would be 9pi, which is approximately 28.26   Since the circle CAN'T touch the X-axis, the area has to be LESS than approximately 28.26   As it's written, none of the answers is clearly the correct one.   32
Answer: D
The distance between two stars is 6.52 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choose the correct choice from the following options:
A) 2 × 10^5	B) 4 × 10^6	C) 5 × 10^7	D) 7 × 10^7	E) 9 × 10^8

Solution: 6.52 × 10^5 ly / (3.26 ly/parsec) = 2 x 10^5 persec   The answer is 2 × 10^5.
Answer: A
The distance between two planets is 3.02 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years) Choose the correct choice from the following choices.
A) 9.3 × 10^5	B) 9.9 × 10^6	C) 9.3 × 10^7	D) 9.9 × 10^7	E) 10.1 × 10^8

Solution: 3.02*10^6 light years = 3.02*10^6/3.26 parsecs.   3.02/3.26 is a little bit less than 1, something like 0.9, thus 3.02*10^6/3.26 = ~0.93*10^6 = 9.3*10^5.   9.3 × 10^5nswer: 9.3 × 10^5.
Answer: A
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately? Choose the correct choice:
A) 12.9 B) 10.8 C) 26.2 D) 17.8 E) 12.9

Solution: Total distance traveled = 10 + 12= 
10 + 12 = 22
22 km /hr.   Total time taken= 10/12 + 12/10 = 61/30 hrs.   Average speed = 22 * 30/61 = 10.8 km/hr.   Answer: 10.8
Answer: B
What is the greatest prime factor of 4^18 - 2^28?  Answers:
A) 2
B) 3
C) 5
D) 7
E) 127

Solution: I'm happy to help with this.   We know 4 = 2^2, so 4^18 = (2^2)^18 = 2^(2*18) = 2^36   That takes advantage of a law of exponents that says (a^n)^m = a^(n*m)   So, 4^18 - 2^28 = 2^36 - 2^28 = 2^(28 + 8) - 2^28 = (2^28)*(2*8) - 2^28 = (2^8 - 1) *(2^28)   = (128 - 1)*(2^28) = 127*(2^28)   The prime factors of 63 are 127, so the largest prime factor is 7, answer choice D.   Here's a blog you may find helpful.   http://magoosh.com/gmat/2012/gmat-math-factors/   Does all that make sense? Please let me know if you have any further questions.   Mike   Wow. I am floored by how great of an explanation you provided. Posts like that make me really think that doing thousands of practice problems with good explanations beats out reading books on math every day of the week.   127
Answer: E
In 1995, there are 28 days in February and there are 365 days in the year. In 1996, there are 29 days in February and there are 366 days in the year. If the date March 15, 1995 is a Monday, then which one of the following would the date March 15, 1996 be?  Pick one:
A) Monday	B) Tuesday	C) Friday	D) Wednesday	E) Friday

Solution: From the information given,March 15, 1996 is 366 days after March 15, 1995.   366 days = 52 weeks and 2 more days. Therefore if March 15, 1995 is a Monday, then March 15, 1996 is Monday + 2 days = Wednesday   Answer: Wednesday
Answer: D
15c6+15c7+16c8=== 17cx
find x?	Choose one:
A) 6  B) 7  C) 8  D) 9  E) 10

Solution: 15c6=5005   15c7=6435   16c8=12870   15c6+15c7+16c8=17c9   ANSWER:9
Answer: D
Find the value of X, Y by solving the below equations
X + Y = 16
X - Y = 14
Choose the correct option.
A) 16, 0 B) 14, 2 C) 15, 1 D) 13, 3 E) 11, 5

Solution: X + Y = 16 ---(I)   X - Y = 14 -----(II) by adding (I) and (II)   ------------   2X = 30 ==> X = 30/2= 
30/2 = 15
15   By Replacing the value of X in (I) we get 15 + Y= 16 ==>   Y = 16 - 15= 
16 - 15 = 1
1.   So, X= 15, Y = 1   Answer 15, 1) 15, 1
Answer: C
A man's speed with the current is 16 km / hr and the speed of the current is 2 km / hr. The man's speed against the current is Choose the correct answer
A) 8.5 km / hr  B) 9 km / hr  C) 12 km / hr  D) 12.5 km / hr  E) None

Solution: Sol.   Man's rate in still in water = (16 - 2) km / hr = 14 km / hr.   Man's rate against the current = (14 - 2) km / hr = 12 km / hr.   Answer 12 km / hr
Answer: C
If $ 5,000 is invested in an account that earns 4% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Options
A) $ 4
B) $ 8
C) $ 12
D) $ 16
E) $ 432

Solution: Solution   $ 4mount (CI) = P+(1+r/n)^nt = 5000+(1+0.04/2)^2= 5404   $ 4mount (SI) = P+PTR/100 = 5000+(5000*1*4/100)=5400   Difference = 5404-5400= 
5404-5400 = 4
4 $   $ 4
Answer: A
The price of a T.V. set worth Rs. 12000 is to be paid in 20 installments of Rs. 1200 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Choose the correct choice from the following options.
A) 29997	B) 10800	C) 27098	D) 19000	E) 2799

Solution: Money paid in cash = Rs. 1200   Balance payment = (12000 - 1200) = Rs. 10800 .Answer:10800
Answer: B
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph,then the speed of the boat in still water is :	Choose the correct choice from the following:  A) 4.2 km/hr  B) 9 km/hr  C) 13 km/hr  D) 21 km/hr  E) None of these

Solution: Solution   Rate upstream =(7/42x60)kmph = 10 kmph.   Speed of stream = 3 kmph.   Let speed in still water be x km/hr.Then, speed upstream =( x-3 ) km/hr.   ∴ x - 3 = 10 or x = 13 km/hr. Answer 13 km/hr
Answer: C
The cost per unit of electricity during a 4 year period is as follows:
Year 1, $2 per unit;
Year 2, $3 per unit;
Year 3, $4 per unit;
Year 4, $5 per unit.
If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?	Choose the correct choice from the following options.
A) $3.82  B) $3.62  C) $5.12  D) $3.12  E) $4.12

Solution: Let money spent each year = $60   Units bought first year = 30   Units bought second year = 20   Units bought third year = 15   Units bought fourth year = 12   Total number of units = 77   Total money spent = 60*4= 
60*4 = 240
240   Average= 240/77 = 3.12   Answer : $3.12
Answer: D
If x and y are odd integers, which of the following must always be a non-integer	Choose one.
A) xy/4 B) xy C) x/y D) y/x E) -xy

Solution: as X and Y are odd, multiplication of x and y would result in odd integer   (Odd Integer)/4 will always be non integer   xy/4
Answer: A
A person walking at the rate of 5 km/hr crosses a bridge in 15 minutes. Find the length of the bridge
Pick one
A) 1200	B) 1250	C) 1224	D) 1300	E) 500

Solution: speed = (5x5/18)m/sec   = 25/18 m/sec.   Dist 15 min(covered) =(25/18 x 15 x 60) ==> 1250 m   ANSWER 1250
Answer: B
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is Choose the correct choice from the following
A) 0.005
B) 0.002
C) 0.001
D) 0.0005
E) 0.0002

Solution: It is very easy if x is the diameter, then the magnified length is 1000x.   ince 1000x=0.2 then x=0.2/1000=0.0002.   The answer is 0.0002
Answer: E
A car travels at a speed of 12 miles per hour. How far will it travel in 5 hours?  Options
A) 50 miles	B) 60 miles	C) 72 miles	D) 22 miles	E) 62 miles

Solution: During each hour, the car travels 65 miles. For 5 hours it will travel   12 + 12 + 12 + 12 + 12 = 5 *12= 
5 *12 = 60
60 miles correct answer 60 miles
Answer: B
If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario? Choose the correct choice from the following choices.
A) 1158  B) 1651  C) 1653  D) 1654  E) None

Solution: Solution:   1158   Explanation:   For an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. Thus, the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over. Thus the total runs that he can score in each over:    6 * 5 + 3= 
 6 * 5 + 3 = 33
33   But this will have to go like it only till the 34th over. In the 35th over, he can hit a six in the last ball as well as that will be the last ball of his destination.   Thus runs for the 35th over will be  6 * 6= 
 6 * 6 = 36
36.   Hence the maximum runs= 33 * 34 + 36= 
33 * 34 + 36 = 1_158
1158   1158nswer 1158
Answer: A
A box contains 4 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black? Pick one:
A) 2/3  B) 1/2  C) 5/8  D) 3/5  E) 3/4

Solution: Each ball has an equal chance (1/10) of being selected fourth.   The probability that a black ball is selected fourth is 6/10 = 3/5.   The answer is 3/5.
Answer: D
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 50
II. 70
III. 92  Choose the correct choice:
A) I only B) III only C) I and II D) I​ and III E) II and III

Solution: m = 18k + 12 --> Values are 12, 30, 48, 66, 84   n = 24k + 14 --> Values are 14, 38, 62, 86   I. 50 --> 12 + 38 --> Possible   II. 70 --> Not possible   III. 92 --> 30 + 622 --> Possible   Answer: I​ and III
Answer: D
The ratio of cats to dogs to birds to fish is 2:3:4:5. There are no other types of animals in the pet store.which of the followingcannotbe the total number of animals in the store?
Choose the correct choice from the following options.
A) 28 B) 42 C) 56 D) 70 E) 77

Solution: The parts add up to 2 + 3 + 4 + 5= 
2 + 3 + 4 + 5 = 14
14, so we know that any possible number of total answers must be a multiple of 14. All five answer choices are multiples of 14:   (A) 28= 14*2   (B) 42= 14*3   (C) 56= 14*4   (D) 70= 14*5   (77) 77=not a multiple of 14
Answer: E
Lally's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Lally makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0? Choices:
A) 15
B) 24
C) 25
D) 26
E) 13

Solution: day 0- payment of $7 is made in the morning (after 12 am midnight)   day 1 onwards(after 12 am midnight) internet service will begin and will run for  7*2= 
 7*2 = 14
14 days i.e. at the end of day 15 balance will be zero.   now Lally can still use the internet till her debt reaches $5 which means total of  5*2= 
 5*2 = 10
10 days.   now the question states for how many days, including today, will she be connected to the internet without any additional payments i.e. we will have to include day0 also in our final answer. therefore total no. of days=1+14+10= 
1+14+10 = 25
25=25
Answer: C
A fair 2 sided coin is flipped 7 times. What is the probability that tails will be the result at least twice, but not more than 7 times?	Choose the correct option.
A) 119/128
B) 120/113
C) 114/210
D) 121/141
E) 104/117

Solution: at least twice, but not more than 7 timesmeans exactly 2 times, 3 times, 4 times, 5 times, 6 times, 7 times   The probability of getting exactly k results out of n flips is nCk/2^n   7C2/2^7+7C3/2^7+7C4/2^7+7C5/2^7+7C6/2^7=119/128   Option: 119/128
Answer: A
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?	Pick one
A) 2/5 B) 1/3 C) 2/7 D) 3/5 E) 1/7

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3
Answer: B
The cricket team of 11members is 26yrs old & the wicket keeper is 3yrs older. If the ages ofthese 2are excluded, the average age of the remainingplayers is 1 year less than the average age of the whole team. What is the average age of the team ?
Choose the correct choice.
A) 18 B) 21 C) 23 D) 25 E) 27

Solution: Let the average age of the whole team be x years.   11x - (26 + 29) = 9 (x - 1)   => 11x - 9x = 46   => 2x = 46   => x = 23.   So, average age of the team is 23 years.   23
Answer: C
2 men catch 2 fish in 2 minutes. At this rate, how many men could catch 500 fish in 500 minutes? Choose the correct choice from the following answers
A) 2 B) 4 C) 6 D) 500 E) 0

Solution: 2 men.....there are no other!!!!
Answer: A
Right triangleXYZ is the base of the prism in the figure above. If XY=XZâˆš4 and the height of the prism is 5, what is the volume of the prism?
Choose the correct choice from the following answers
A) 15/2  B) 6  C) 4  D) 2/5  E) 6/8

Solution: Volume of prism = 15/2rea of base * height = 1/2* (square root of 3) * (square root of 3)*5 =15/2   15/2nswer: 15/2
Answer: A
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 4,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Select the correct option:
A) 6.85%	B) 7.25%	C) 7.76%	D) 8.33%	E) 8.75%

Solution: The amount of sodium chloride is 0.05*10,000 = 500 gallons   500/6000 = 1/12 which is about 8.33%   The answer is 8.33%.
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Choose the correct choice from the following options:
A) 1227
B) 2088
C) 26788
D) 8112
E) 1871

Solution: A = 7500(26/25)2 = 8112   Answer: 8112
Answer: D
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?	Select: A) 1,20,005 B) 1,20,000 C) 1,20,001 D) 1,20,002 E) 1,20,004

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,20,000   Answer: 1,20,000
Answer: B