MU-NLPC/Calc-aqua_rat huggingface dataset:
If below equations are true,
24 $ 6 = 64
35 $ 5 = 87
63 $ 7 = 99
Then based on similar logic what's the value of below equation
88 $ 8 = ?
Choose the correct choice from the following:
A) (8+8 = 16) (88/8 = 11)	B) (8+8 = 16) (88/8 = 12)	C) (8+8 = 16) (88/8 = 13)	D) (8+8 = 16) (88/8 = 14)	E) None of these

Solution: Explanation:   The number on the right side is formed as (sum of digits of the 1st number)(number1/number2)   example,   24 $ 6 = 64 (2+4 = 6) (24/6 = 4)   35 $ 5 = 87 (3+5=8) (35/5 = 7)   63 $ 7 = 99 (6+3 =9) (63/7 =9)   Simillarly,   88 $ 8 = (8+8 = 16) (88/8 = 11)   (8+8 = 16) (88/8 = 11)nswer (8+8 = 16) (88/8 = 11)
Answer: A
At a supermarket, John spent 1/4 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/6 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?  Choose the correct choice from the following choices:
A) $24 B) $80 C) $90 D) $120 E) $180

Solution: Let's let T = total number of dollars spent at the supermarket. With this variable we can set up an equation and determine T.   We are given that John spent 1/4 of his money on fresh fruits and vegetables, or (1/4)T, 1/3 on meat products, or (1/3)T, and 1/6on bakery products, or (1/6)T. We are also given that he spent the remaining $6 on candy. Since we know where all his money was allocated, we can sum these values together and set the sum to T. So we have:   (1/4)T + (1/3)T + (1/6)T + 6 = T   To get rid of the fractions we can multiply the entire equation by 12, and we obtain:   3T + 4T + 2T + 72 = 12T   9T + 72 = 12T   72 = 3T   T = 24   John spent $24 at the supermarket.   $24nswer: $24
Answer: A
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank ?  Choose the correct choice from the following answers:  A) 12 min  B) 15 min  C) 25 min  D) 50 min  E) 55 min

Solution: Part filled by A in 1 min = 1/20   Part filled by B in 1 min = 1/30   Part filled by (A + B) in 1 min =(1/20 + 1/30) = 1/12   so Both pipes can fill the tank in 12 minutes.   12 minNSWER:12 min
Answer: A
Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first  Pick:
A) 8%
B) 10%
C) 9%
D) 11%
E) 12%

Solution: Let the third number is x.   then first number = (100-30)= 
(100-30) = 70
70% of x= 7x/10   Second number is (63x/100)   Difference = 7x/10 - 63x/100 = 7x/10   So required percentage is, difference is what percent of first number   (7x/100 * 10/7x * 100 )% = 10% ANSWER :10% (7 /100 * 10/7  * 100 )= 
 (7 /100 * 10/7  * 100 ) = 10
10% ANSWER :10%
Answer: B
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choose the correct answer:	A) 3.34 sq m	B) 3.37 sq m	C) 3.84 sq m	D) 7.34 sq m	E) 3.24 sq m

Solution: 3.34 sq mrea of the path = 3.34 sq mrea of the outer circle - 3.34 sq mrea of the inner circle   = ∏{4/2 + 25/100}2 - ∏[4/2]2   = ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2   = (a - b)(a + b) }   = (3.14)(1/4)(17/4) = 53.38/16   = 3.34 sq m   3.34 sq mnswer:3.34 sq m
Answer: A
Q is a set of four distinct prime numbers. If the sum of the integers in Q is odd and the number x is a member of Q, then what is the least value that x can be?
Choices:
A) 2	B) 3	C) 4	D) 5	E) 7

Solution: 2 + 3 + 5 + 7= 
2 + 3 + 5 + 7 = 17
17 ( sum is ODD)   Least number= 2   2
Answer: A
In a lottery, there are 10 prizes and 10 blanks. A lottery is drawn at random. What is the probability of getting a prize?	Choose one
A) 1/10
B) 2/5
C) 2/7
D) 5/7
E) 1/2

Solution: Solution   P(getting a prize)	= 10 / (10+10)   ‹=› 10 / 20   ‹=› 1 / 2.   Answer 1/2
Answer: E
A cat leaps 5 leaps for every 4 leaps of a dog, but 2 leaps of the dog are equal to 3 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
Choose the correct option
A) 5:6	B) 3:2	C) 4:8	D) 1:2	E) 7:8

Solution: Given;   2 dog = 3 cat;   Or, dog/cat = 3/2;   Let cat's 1 leap = 2 meter and dogs 1 leap = 3 meter.   Then, ratio of speed of cat and dog = 2*5/3*4 = 5:6.''5:6nswer: 5:6;
Answer: A
If a man buys 50 fish for $150 and sold them for $2.5 dollars each determine his loss.
Options
A) $ 35	B) $ 30	C) $ 25	D) $ 20	E) $ 38

Solution: Cost of 50 fishes = $150   Sold each fish for $2.5   So he sold 50 fishes for $(50 × 2.5) = $125   Loss = $(150 – 125) = $25   Therefore, loss = $ 25.   Answer:$ 25
Answer: C
A cistern 2 meters wide and 4 meters long contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Choose the correct choice from the following answers:
A) 49
B) 87
C) 23
D) 66
E) 19

Solution: Area of the wet surface = [2(lb + bh + lh) - lb]   = 2(lh + bh) + lb   = [2 (4 x 1.25 + 2 x 1.25) + 2 x 4]   = 23   The answer is 23.
Answer: C
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?	Answers:	A) 6 hrs 21 min	B) 6 hrs 91 min	C) 6 hrs 01 min	D) 6 hrs 23 min	E) 3 hrs 21 min

Solution: Time taken to cover 600 km = 600/100= 
600/100 = 6
6 hrs.   Number of stoppages= 600/75 - 1= 
600/75 - 1 = 7
7   Total time of stoppages= 3 * 7= 
3 * 7 = 21
21 min   Hence, total time taken= 6 hrs 21 min.   6 hrs 21 minnswer:6 hrs 21 min
Answer: A
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?  Select the correct option.
A) 620 m
B) 120 m
C) 420 m
D) 250 m
E) 550 m

Solution: C   420 m   Let the length of the stationary train Y be LY   Given that length of train X, LX = 300 m   Let the speed of Train X be V.   Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.   => 300/V = 25 ---> ( 1 )   (300 + LY) / V = 60 ---> ( 2 )   From (1) V = 300/25= 
300/25 = 12
12 m/sec.   From (2) (300 + LY)/12= 60   => 300 + LY = 60 (12) = 720   => LY = 720 - 300= 
720 - 300 = 420
420 m   Length of the stationary train= 420 m
Answer: C
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 185 cms. What was the ratio of men to women?  Select the correct option:
A) 5:2
B) 5:1
C) 4:3
D) 2:1
E) 3:1

Solution: We're given a few facts to work with:   1) The average height of the females is 170cm   2) The average height of the males is 185cm   3) The average of the GROUP is 180cm   We're asked for the RATIO of men to women.   W = number of Women   M = number of Men   (170W + 185M)/(W+M) = 180   170W + 185M = 180W + 180M   5M = 10W   M = 2W   M/W = 2/1   The ratio of men to women is 2 to 1.   2:1
Answer: D
A boat running downstream covers a distance of 16 km in 4 hours while for covering the same distance upstream,it takes 8 hours.What is the speed of the boat in still water ?
Pick.
A) 3 km/hr	B) 6 km/hr	C) 8 km/hr	D) Data inadequate	E) None of these

Solution: Solution   Rate downstream =(16/4)= 
(16/4) = 4
4 kmph, Rate upstream=(16/8)= 
(16/8) = 2
2 kmph.   ∴ Speed in still water=1/2(4+2) kmph = 3 kmph.   3 km/hrnswer 3 km/hr
Answer: A
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?  Select the correct option:
A) 288
B) 267
C) 200
D) 4096
E) 2771

Solution: Principal = [4913 / (1 + 25/(4 * 100))3]   = 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.   Answer: 4096
Answer: D
A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
Choose the correct choice from the following:
A) 10 B) 15 C) 20 D) 25 E) 30

Solution: In 5 minutes, the cyclist travels a distance of   (5/60)*24= 
  (5/60)*24 = 2
2 km.   The time it takes the hiker to complete this distance is 2/4 hours= 30 minutes   The cyclist needs to wait  30 - 5= 
 30 - 5 = 25
25 minutes   The answer is 25.
Answer: D
On the coordinate plane , points P and O are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
Choose the correct choice
A) (1.5,1)  B) (2,-5)  C) (0,0)  D) (1,1.5)  E) (2,2)

Solution: Although it took me 3 mins to solve this question using all those equations, later I thought this question can be solved easily using options.   One property to keep in mind - A line passing through the centre of the circle bisects the chord (or passes from the mid point of the chord).   Now mid point of chord here is (-1+3)/2, (3+0)/2 i.e. (1,1.5) now luckily we have this in our Ans. choice. so definitely this is the ans. It also indictaes that PO is the diameter of the circle.   There can be a case when PO is not a diameter but in that case also the y-coordinate will remain same as it is the midpoint of the chord and we are moving up in the st. line to locate the centre of the circle.   If ans choices are all distinct (y cordinates) ONLY CHECK FOR Y COR(1,1.5)INATE and mark the ans=(1,1.5)
Answer: D
There are 8 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? Select:
A) 120	B) 720	C) 1,008	D) 1,520	E) 1,980

Solution: Answer is E. Can somebody tell me what answer I may have found if I had added the 8C2 and 9C2 (28+36=64)?   I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?   1,008
Answer: C
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 25 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished? Choose the correct choice from the following options
A) 7  B) 5  C) 2  D) 3  E) 1

Solution: 200 men do the rest of the work in   100-25= 
  100-25 = 75
75 days   100 men can do the rest of the work in 75*200/100= 75days   Required number of days = 75-80 = 5 days   Answer is 5
Answer: B
If the wheel is 14 cm then the number of revolutions to cover a distance of 1232 cm is?	Pick:	A) A)15	B) B)10	C) C)14	D) D)12	E) E)11

Solution: 2 * 22/7 * 14 * x = 1232 => x = 14   ANSWER:14
Answer: C
If e>0, which of the following must be true?  Choose the correct choice from the following.
A) 1 < e	B) 0 < e < 2	C) -1 < e < 1	D) -10 <e	E) 1/100 < e

Solution: All we know is that e is some positive number. Right away we can see that D must be true: if e is positive then it MUST be true that it's greater than -10. Still let's check each option.   A. 1 < e. We don't know whether the number is greater than 1, it could be a positive number less than or equal to 1. Discard.   B. 0 < e < 2. The same here: we don't know whether the number is less than 2, it could be more than or equal to 2. Discard.   C. -1 < e < 1. The same as A. Discard.   E. 1/100 <e. We don't know whether the number is greater than 1/100, it could be a positive number less than or equal to 1/100. Discard.   Answer: -10 <e.
Answer: D
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 7 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--	Choose the correct choice from the following:
A) 12 B) 19 C) 60 D) 180 E) 630

Solution: 7C3 * 4C2 * 3C2 = 35*6*3= 
35*6*3 = 630
630.   Answer: 630.
Answer: E
If the average marks of three batches of 72, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is Choose the correct choice from the following answers.
A) 54.48  B) 54.68  C) 54.6  D) 54.23  E) None of these

Solution: Explanation:   (72Ã—50)+(60Ã—55)+(45Ã—60) / 72+60+45   9600 / 177=54.23   Option 54.23
Answer: D
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is Options.
A) 12 B) 16 C) 19 D) 13 E) 17

Solution: Explanation:   abcbcd=3851001=>ad=513   abcbcd=3851001=>ad=513   So d = 13   13
Answer: D
A candidate got 35% of the votes and lost to the rival by 2400 votes. How many votes were cast?	Answers
A) 7700 B) 8000 C) 8300 D) 8600 E) 8900

Solution: 35%-----------L   65%-----------W   ------------------   30% = 2400   10% = 800   100% of the votes = 8000   Answer: 8000
Answer: B
If 4 tic equals 3 tacs and 6 tacs equal 4 tocs, what is the ratio of one tic to one toc?	Choose the correct option.
A) 15/2	B) 6/5	C) 5/6	D) 3/10	E) 2/1

Solution: 4Tic=3*Tac and 6*Tac=4*Toc;   24*Tic=18*Tac and 18*Tac=12*Toc --> 24*Tic=12*Toc --> Tic/Toc=24/12= 
24/12 = 2
2/1.   Answer: 2/1.
Answer: E
A hall is 15 meters long and 10 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?
Select:
A) 600	B) 700	C) 800	D) 900	E) 1000

Solution: 2HL + 2= 
+ 2 = 2
2LW   H= LW / (L+W)   Volume = LWH = (LW)^2 / (L+W) = 900   The answer is 900.
Answer: D
A heap of coconuts is divided into groups of 2, 5 and 7 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61  Choose the correct choice from the following:
A) A)31 B) B)41 C) C)51 D) D)61 E) E)71

Solution: LCM = 70   => 70 + 1= 
70 + 1 = 71
71   ANSW71R:71
Answer: E
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?	Choose the correct choice from the following answers:	A) 13	B) 15	C) 16	D) 18	E) 21

Solution: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days   So fodder will be available for  (60 + 8 + 12)= 
 (60 + 8 + 12) = 80
80 cows c 24x60 .0 .   for-^—=18 days.   18
Answer: D
Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many W miles will Tom drive before Karen wins the bet?  Choose the correct choice from the following answers:
A) 15 B) 18 C) 21 D) 24 E) 27

Solution: Let K and T be the speeds of Karen and Tom respectively.   t be the time that Karen will travel ----> t+4/60 will be the total time Tom will travel by the time the distance between Karen and Tom is 4 miles.   Thus, per the question , K(t) - T(t+4/60) = 4 ---> t = 7/15 hours   Thus the distance traveled by Tom when Karen is 4 miles ahead of him W: T*(t+4/60) = 45 (7/15+4/60) = 24 miles. 24 is the correct answer.
Answer: D
What is the 50th digit to the right of the decimal point in the decimal form of 48/88?	Choose one
A) 6 B) 7 C) 9 D) 11 E) 4

Solution: We have to use some long division. This long division allows us to get 48/88 in decimal form, which is 0.545454… where “54” is repeating.   We can see that the 1st, 3rd, 5th digit to the right of the decimal point is a 5 and that the 2nd, 4th, 6th digit to the right of the decimal point is a 4. In other words, each odd-positioned digit is a 5, and each even-positioned digit is a 4.   Then about the 50 digit to the right of the decimal point and we see that 50 is even, we know that the 50th digit is a 4.   Answer 4.
Answer: E
In how many ways can a supermarket manager display 5 brands of cereals in 3 spaces on a shelf? Choose the correct choice from the following answers
A) 120
B) 30
C) 60
D) 40
E) 20

Solution: This is asking for the number of permutations, since we don't want repetitions. The number of ways is:   5P3 = 60   Ans- 60
Answer: C
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 3/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?	Choose the correct choice from the following
A) 9/80  B) 3/10  C) 303/800  D) 35/80  E) 497/800

Solution: The relay fails when "2 and 3 fail" or "4 and 5 fail".   P(2 and 3 fail) = (3/8)*(3/10) = 9/80   P(4 and 5 fail) = (3/4)*(2/5) = 3/10   Both these cases include the cases in which all 4 circuits fail. So we need to subtract that probability once out of the sum.   P(2, 3, 4 and 5 fail) = (9/80)*(3/10) = 27/800   P(Relay fails) = 9/80 + 3/10 - 27/800 = 303/800   Answer (303/800)
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Select
A) 150 m B) 175 m C) 120 m D) 145 m E) 165 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec   Length of the train= (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   150 mnswer: 150 m
Answer: A
Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, Bruce and Chris be 42 years, then how old is Bruce ?  Choose the correct choice from the following choices:	A) 7 years	B) 16 years	C) 12 years	D) 13 years	E) 14 years

Solution: Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.   (2x + 2) + 2x + x = 42   5x = 40   x = 8   Hence, Bruce's age = 2*8= 
2*8 = 16
16 years.   Answer : 16 years
Answer: B
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly eight elements each?
Choices
A) 27  B) 18  C) 16  D) 8  E) 9

Solution: nC2 = 36   => n*(n-1)/2 = 36 , by middle term factor   => n = 9   nC3 = 9C8 = 9   So, Answer is 9.
Answer: E
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 4 minutes?	Choose the correct choice from the following choices
A) 150 m	B) 200 m	C) 170 m	D) 133 m	E) 250 m

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 4 = 1/15 km = 67 m.   133 mistance between the thief and policeman = 200 - 67= 
200 - 67 = 133
133 m   133 m
Answer: D
Find the compound interest on $800 for 1year at 10% p.a. if CI is component yearly?	Choices
A) $40  B) $400  C) $840  D) $800  E) $80

Solution: $40 = P(1 + R/100)^T   = 800(1 + 10/100)^1   = 800*21/20= 
800*21/20 = 840
$840   CI= $40-P = 840-800= 
840-800 = 40
$40   $40nswer is $40
Answer: A
Given the two equations 3x + 2y = 16 and 5x + 3y = 26, by how much does r exceed s?  Choose the correct choice from the following answers:
A) 3 B) 4 C) 5 D) 1 E) 2

Solution: Solve by Simultaneous Equations.   My Answer is E.   x=4   y=2
Answer: E
A can do a piece of work in 20 days, B can do a piece of work in 12 days,both are working together for 3 days after A left the job,then how many days B requires to complete the remaining work?  Answers:	A) 6 Days	B) 5 Days	C) 3 Days	D) 7 Days	E) 12 Days

Solution: First take L3 DaysM of (20,12) = 60; Total work = 60; A's one day work = 60/20= 
60/20 = 3
3; B's one day work=60/12= 
60/12 = 5
5; One day work of both A+B= 3+5= 
3+5 = 8
8; Total work completed in 3 days= 8*3= 
8*3 = 24
24; remaining work is= 60 - 24= 
60 - 24 = 36
36; remaining work completed by B in= 36/12= 
36/12 = 3
3 days.Answer=3 Days
Answer: C
Klaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?	Choose the correct choice:
A) 54  B) 72  C) 96  D) 144  E) 432

Solution: Klaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement.2 candles from 4 candles: 4C2: 6   8 flowers from 9 flowers: 9C8 : 9   So total grouping     9*6= 
  9*6 = 54
54.   54nswer is 54.
Answer: A
A group of medical interns at Bohemus Medical School want to go on dates. There are 7 girls and 7 guys. Assuming girls go on dates with guys, how many possible ways can these 14 medical interns date each other? Answers
A) A)4640
B) B)4740
C) C)4840
D) D)4940
E) E)5040

Solution: 1st girl can go with 7 guys   2nd girl can go with remaining 6   3rd girl can go with remaining 5 and so on   so the total ways are 7!= 5040   5040 should be the answer
Answer: E
Betty worked for three straight hours on her homework questions. If she solved 120 questions in the third hour, which was five times as many as she solved in the second hour, and six times as many questions as she solved in the first hour, how many questions did she solve in total?
Choose the most appropriate option
A) 156	B) 160	C) 164	D) 168	E) 172

Solution: In the first hour, Betty solved   120/6= 
  120/6 = 20
20 questions.   In the second hour, Betty solved   120/5= 
  120/5 = 24
24 questions.   In the third hour, Betty solved 120 questions.   The total is  20 + 24 + 120= 
 20 + 24 + 120 = 164
164.   The answer is 164.
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is: Choose the correct choice from the following:
A) 153600 m^2	B) 153660 m^2	C) 153700 m^2	D) 153800 m^2	E) 153900 m^2

Solution: Perimeter = Distance covered in 8 min. = 12000	x 8	m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m^2.   153600 m^2
Answer: A
Rs.280 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?  Choose the most appropriate option.
A) 210  B) 266  C) 120  D) 299  E) 267

Solution: 4x 5x 6x   100 50 25   400x + 250x + 150x = 28000   x = 35   6x = 210   210nswer: 210
Answer: A
A man can row at 6 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Choose the correct choice from the following choices.
A) 2.4 km B) 2.6 km C) 2.9 km D) 4.4 km E) 5.6 km

Solution: Explanation:   Speed in still water = 6 kmph   Speed of the current = 1 kmph   Speed downstream = (6+1)= 
(6+1) = 7
7 kmph   Speed upstream= (6-1)= 
(6-1) = 5
5 kmph   Let the required distance be x km   Total time taken= 1 hour   â‡’ x/7+x/5=1   â‡’5x+7x=35   â‡’12x=35   â‡’x=2.9 km   Answer: Option 2.9 km
Answer: C
2x<5y<0 which of the following is the greatest?
Pick one:
A) 6x+3y	B) -(2x+2y)	C) -x+4y	D) 2x+6y	E) x-2y

Solution: Plugging in -1 for both x and y we get   A. 6x+3y =-9   B. -(2x+2y) =4   C. -x+4y =-3   D. 2x+6y =-8   E. x-2y =1   Answer: -(2x+2y)
Answer: B
85% of a number is added to 24, the result is the same number. Find the number?	Choose the correct option:	A) 150	B) 140	C) 130	D) 160	E) 170

Solution: (85/100) * X + 24 = X   3X = 480   X = 160   ANSWER:160
Answer: D
Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel four times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?  Options.
A) 4  B) 6  C) 5  D) 9  E) 12

Solution: W: the time for Wyane to do the job   S: the time for his son to do the job   We have 1/W + 1/S = 1/4 and W = 4S   Then we have 1/(4*S) + 1/S = 1/4 <=> 5/(4*S) = 1/4 <=> S = 5   ANS: 5
Answer: C
The banker’s discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is
Choose the correct choice from the following choices: A) 210 B) 280 C) 360 D) 450 E) None

Solution: Sol.   Sum = B.D. * T.D. / B.D. - T.D. = Rs.[72 * 60 / 72 - 60] = Rs. [72 * 60 / 12] = Rs. 360.   Answer 360
Answer: C