MU-NLPC/Calc-aqua_rat huggingface dataset:
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?  Choose the most appropriate option
A) 20(2/3)%  B) 20%  C) 21%  D) 22(2/3)%  E) None of these

Solution: Explanation :   Total numbers = 70   Total numbers in 1 to 70 which has 1 in the unit digit = 7   Total numbers in 1 to 70 which has 9 in the unit digit = 7   Total numbers in 1 to 70 which has 1 or 9 in the unit digit = 7 + 7= 
7 + 7 = 14
14   Required percentage= (14/70) × 100 = 140/7= 
140/7 = 20
20%   Answer : Option 20%
Answer: B
Two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?	Pick: A) 10 sec B) 32 sec C) 82 sec D) 24 sec E) 89 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 160 + 320= 
160 + 320 = 480
480 m.   The time required= d/s = 480 /20= 
480 /20 = 24
24 sec.   Answer:24 sec
Answer: D
Which is a tool that helps RBI to stabilize money supply and prices of Government securities?
Choose one:	A) OMJ	B) OMY	C) OMO	D) OM6	E) OMD

Solution: Explanation:   An Open Market Operation is an activity by a central bank to buy or sell government bonds on the open market.   ANSWER: OMO
Answer: C
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 140, how many coins of each type are there?
Pick.
A) 20 coins B) 30 coins C) 40 coins D) 80 coins E) None of these

Solution: Let number of each type of coin = x. Then,   1 × x + .50 × x + .25x = 140   ⇒ 1.75x = 140 ⇒ x = 80 coins   Answer 80 coins
Answer: D
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?	Choose the correct choice: A) 11 B) 10 C) 817 D) 117 E) 111

Solution: Explanation:   Part of the filled by all the three pipes in one minute   = 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10   So, the tank becomes full in 10 minutes.   Answer:117
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.200 in 4 Years?  Choices.
A) 5%  B) 7%  C) 6.25%  D) 2%  E) 4%

Solution: 200 = (800*4*R)/100   R = 6.25%   Answer: 6.25%
Answer: C
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse? Select the correct option.
A) 32
B) 28
C) 17
D) 45
E) 63

Solution: Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.   Here is the equation:   2x − 14 = 42.   2x = 42 + 14= 
42 + 14 = 56
56.   x= 56   /2   = 28.   The blouse cost $28.
Answer: B
Sri travels the first 6 hours of his journey at 40 mph speed and the remaining 3 hours at 20mph speed. What is the average speed of Sri's travel in mph?
Choose the correct choice from the following choices: A) 33.3mph B) 33.8mph C) 32.3mph D) 34.3mph E) 33.1mph

Solution: Explanation :   Average speed=Total Distance/Time.   Total distance travelled by sri = Distance covered in the first 6 hours + Distance covered in the next 3 hours.   Distance covered in the first 6 hours = 6Ã—40=240 miles   Distance covered in the next 3 hours= 3Ã—20=60 miles   Therefore, total distance travelled = 240+60= 
240+60 = 300
300 miles.   The total time taken= 6+3= 
6+3 = 9
9hours.   Hence, the average speed=300/9= 33.3mph.   33.3mphnswer : 33.3mph
Answer: A
How much time will take for an amount of Rs. 300 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Pick one.
A) 7
B) 4
C) 6
D) 3
E) 2

Solution: Time = (100 * 81) / (300 * 4.5)= 
(100 * 81) / (300 * 4.5) = 6
6 years'   Answer:6
Answer: C
A rope of which a calf is tied is increased from 15 m to 18m, how much additional grassy ground shall it graze? Pick one:
A) 1218	B) 1212	C) 1210	D) 3.11.14	E) 291.1

Solution: π (182 – 152) = 311.14   Answer: 3.11.14
Answer: D
At the time of marriage, a man was 6 years elder to his wife. 6 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.	Select the correct option.
A) 25 years  B) 30 years  C) 18 years  D) 24 years  E) 36 years

Solution: let wifes age= x   husband age = x+6   now after 6 years of mrg x+6 wifes age   x+6+6 husbands age   8/7(x+6)=x+6+6   after solving x=36   ANSW36 yearsR:36 years
Answer: E
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m? Answers:
A) Rs. 50000	B) Rs. 52000	C) Rs. 57000	D) Rs. 60000	E) Rs. 61000

Solution: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m   Total area of the hall to be covered with mat = 2(lb + bh + hl)   = 2(20 * 15 + 15 * 5 + 5 * 20)   =2(300 + 75 + 100)   = 2 * 475= 
2 * 475 = 950
950 sq. m   Total expenditure= 60 * 950   = Rs. 57000   Rs. 57000
Answer: C
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Pick:
A) 75%
B) 50%
C) 100%
D) 80%
E) 70%

Solution: MP = 100   100%P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   ANSWER:100%
Answer: C
Two employees A and B are paid a total of Rs. 580 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choose the correct choice from the following choices.
A) s.130
B) s.140
C) s.150
D) s.232
E) s.280

Solution: Let the amount paid to A per week = x   and the amount paid to B per week = y   Then x + y = 580   But x = 150% of y = 150y/100 = 15y/10   ∴15y/10 + y = 580   ⇒ y[15/10 + 1] = 580   ⇒ 25y/10 = 580   ⇒ 25y = 5800   ⇒ y = 5800/25 = Rs.232   s.232)
Answer: D
The train travels at an average speed of 25km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 5km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?	Select the correct option
A) 8.5 B) 8.3 C) 2.6 D) 4.2 E) 6.5

Solution: Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 25 km/hour and 5 km/hour, using a multiple of both 25 and 5 would make the math easiest.   Let's set the Distance up the hill at 50 km.   So, going uphill, we have....   D = (R)(T)   50 = (25)(T)   50/25= 
50/25 = 2
2= T   2 hours to go uphill   Going downhill, we have....   D = (R)(T)   50 = (5)(T)   50/5= 
50/5 = 10
10= T   10 hours to go downhill   Total Distance = 100 km   Total Time = 10+2= 
10+2 = 12
12 hours   Average Speed= 100/12 = 8.3 km/hour   8.3
Answer: B
A shopkeeper sold an article offering a discount of 5% and earned a profit of 27.3%. What would have been the percentage of profit earned if no discount had been offered?
Pick:  A) 28.5  B) 27.675  C) 30  D) 34%  E) None of these

Solution: Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.   Then printed price = 100Ã—(100+27.3)/(100âˆ’5)   = 100Ã—127.3/95=134   Hence, required % Profit = 134 â€“ 100 = 34%   Answer 34%
Answer: D
A pharmaceutical company received $6 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?  Choose the correct answer: A) 8% B) 15% C) 45% D) 52% E) 72%

Solution: Solution:   This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.   We first set up the ratios of royalties to sales. The first ratio will be for the first 20 million in sales, and the second ratio will be for the next 108 million in sales. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.   First 20 Million   royalties/sales = 6/20 =3/10   Next 108 Million   royalties/sales = 9/108 = 1/12   Because each ratio is not an easy number to use, we can simplify each one by multiplying each by the LCM of the two denominators, which is 60. Keep in mind that we are able to do this only because our answer choices are expressed in percents.   First 20 Million   royalties/sales = (6/20) x 60 = 18   Next 108 Million   royalties/sales = 9/108 = (1/12) x 60 = 5   We can plug 18 and 5 into our percent change formula:   (new – old)/old x 100   [(5 – 18)/18] x 100   -650/9 x 100   At this point we can stop and consider the answer choices. Since we know that 650/9 is just a bit less than ½, we know that -650/9 x 100 is about a 72% decrease.   Answer 72%.
Answer: E
X and Y walk around a circular track. They start at 10 a.m from the same point in the opposite directions. X and Y walk at a speed of 6 rounds per hour and 7 rounds per hour respectively. How many times shall they cross each other before 3 p.m	Choose the correct choice from the following answers.
A) 64  B) 65  C) 66  D) 67  E) 68

Solution: Explanation:   Relative speed = (6+7)= 
(6+7) = 13
13 rounds per hour   So, they cross each other 13 times in an hour hence, they cross 65 times before 3 p.m   Answer: Option 65
Answer: B
Sahil purchased a machine at Rs 14000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
Choose the correct choice from the following options.
A) Rs. 22000  B) Rs. 24000  C) Rs. 26000  D) Rs. 30000  E) None of these

Solution: Explanation:   Question seems a bit tricky, but it is very simple.   Just calculate all Cost price, then get 150% of CP.   C.P. = 14000 + 5000 + 1000= 
14000 + 5000 + 1000 = 20_000
20000   150% of 20000= 150/100 * 20000= 
150/100 * 20000 = 30_000
30000   Option Rs. 30000
Answer: D
John's marks wrongly entered as 82 instead of 62. Due to that the average marks for the class got increased by half (1/2). The number of John in the class is?	Choose the most appropriate option:
A) 70
B) 78
C) 80
D) 84
E) 90

Solution: otal increase in marks = x x	1 =	x   2	2   x/2	= (82 - 62) x/2	= 40 x= 80.   80
Answer: C
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: Choose one
A) 14	B) 12	C) 15	D) 16	E) 20

Solution: Filled in 2 hrs = 2/6 = 1/3   remain = (1-1/3)=2/3   (14+B)'S 7 HRS WORK = 2/3   (14+B)'S 1 hr work = 2/21   C'S 1 hr work = (14+B+C)'S 1 hr work - (14+B)'S 1 hr work   =(1/6-2/21)=1/14   =>c alone fill tank in 14 hrs   14NSWER 14
Answer: A
The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Choose the most appropriate option.
A) Rs.150.50	B) Rs.154.75	C) Rs.156.25	D) Rs.158	E) None

Solution: Solution   Present Worth	= Rs.[169/(1+4/100)²]   = Rs.(169x25/26x25/26)   = Rs.156.25   Answer Rs.156.25
Answer: C
A tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?  Choose the correct choice from the following choices:
A) 20
B) 22
C) 24
D) 26
E) 28

Solution: Let the original side of the square be x.   (x-12)*(x-10) = 120 ( -12)*( -10)= 
( -12)*( -10) = 120
120= 10*12   x = 22   The answer is 22.
Answer: B
If a*b=2a-3b+ab,then3*5+5*3 is equal to
Options:  A) 22  B) 32  C) 25  D) 28  E) 30

Solution: 3*5+5*3= (2x3-3x5+3x5)+(2x5-3x3+5x3)   =22   22NSWER 22 22
Answer: A
A, B and C can do a piece of work in 5 days, 10 days and 15 days respectively. How long will they taken, if all the three work together?	Pick one.
A) 2  B) 4  C) 2 8/11  D) 67  E) 9

Solution: 1/5 + 1/10 + 1/15 = 11/30 => 30/11 => 2 8/11 days   Answer: 2 8/11
Answer: C
A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage	Choose the most appropriate option
A) 10% Gain
B) 10% Loss
C) 20% Loss
D) 25% Loss
E) 30% Loss

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (810 ~ 900)/900 = 10% Loss   10% Loss
Answer: B
If 9!/3^x is an integer, what is the greatest possible value of x?	Choose one: A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 9 - 3*3   6 - 2*3   3 - 1*3   Hence max of 3^4 is allowed. IMO 4.
Answer: B
eight children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?  Choose the correct choice.
A) 240  B) 480  C) 540  D) 720  E) 840

Solution: Since it is more time consuming and error prone to find ways Betsy and E not sitting together, It is better we find ways in which they will be together and then subtract from total ways..   total ways = 6!..   ways B and E will be sitting together..   take both B and E as one, then these two together with other 4 can sit in 5! ways ...   Also B and E can sit within themselves in 2! ways..   so the answer required = 6!-2*5!=720..   ans 720
Answer: D
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?	Choose the correct choice from the following answers:
A) 16.25% B) 8.25% C) 4.25% D) 6.25% E) 7.25%

Solution: 25/4= 
25/4 = 25/4 = around 6.25
6.25   Answer : 6.25%
Answer: D
Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Jam Street. What is the highest-numbered street that intersects Egg Street?	Choose the correct answer
A) 52nd B) 53rd C) 54th D) 56th E) 57th

Solution: 6.6 km / 120 m = 55.   However, the street at the 6.6-km mark is not 55th Street; it is Jam Street.   Therefore, the highest numbered street is 54th Street.   The answer is 54th.
Answer: C
On flipping 3 coins together what is the outcomes for at least three tails?
Select:
A) {HHH, HHT, HTH, THH}
B) {HHT, HHT, HTH, THH}
C) {TTH, HHT, HTH, THH}
D) {TTT, HHT, HTH, THH}
E) None

Solution: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}   Favorable outcomes for at least three tails.   = favorable outcomes for exactlythree tails   = {TTT}   None
Answer: E
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1)	Options: A) II only B) I and II C) II and III D) I only E) I and III

Solution: x < y --> Let x = 2 and y = 3 --> z = 2/3   I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True   II. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True   III. z>(x + 1)/(y - 1) --> 2/3 > 3/2 --> False   Answer: I and II
Answer: B
In a series of six consecutive even numbers, the sum of the fifth and sixth numbers is 42. What is the second number?  Choose the correct option
A) 10	B) 12	C) 14	D) 18	E) 16

Solution: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.   Given (x + 8) + (x + 10) = 42   => 2x + 18 = 24 => x = 12   The second number = x + 2 = 12 + 2= 
12 + 2 = 14
14.   Answer: 14
Answer: C
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:  Choose the correct choice from the following answers: A) 20 B) 30 C) 40 D) None of these E) Either (a) or (b)

Solution: Let the numbers be a, b and c.   Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.   (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.   (a + b + c) = 400 = 20.   20NSWER : 20
Answer: A
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Select the correct option:
A) 17:1
B) 17:6
C) 17:9
D) 17:2
E) 17:3

Solution: P:Q = 85000 : 15000   = 17:3.   Answer:17:3
Answer: E
Which of the following is not an odd function?
Choose the correct choice from the following answers:
A) f(x) = -x3	B) f(x) = x5	C) f(x) = x2 - x	D) f(x) = |x|3	E) None of these

Solution: Solution:   An odd function is a function whose value reverses in sign for a reversal in sign of its argument. i.e. f(x) = -f(-x).   Except f(x) = |x|3 all other functions mentioned in the choices change values.   Answer f(x) = |x|3
Answer: D
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,680, then what is B's share in the profit? Choose the correct choice
A) Rs. 2000
B) Rs. 3000
C) Rs. 4200
D) Rs. 5200
E) None of these

Solution: Explanation :   Ratio of the initial investment = 7/2 : 4/3 : 6/5   = 105 : 40 : 36   From this ratio, we can assume that actual initial investments of A, B and C   are 105x, 40x and 36x respectively   A increases his share 50% after 4 months. Hence the ratio of their investments =   (105x * 4) + (105x * 150/100 * 8) : 40x * 12 : 36x : 12   = 105 + (105 * 3/2 * 2) : 40*3 : 36 * 3   = 105 * 4 : 40 *3 : 36 * 3   = 35 * 4 : 40 : 36   = 35 : 10 : 9   B's share = total profit * (10/54) = 22,680 * 10/54 = 4200. Answer : Option Rs. 4200
Answer: C
Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?  Choose the correct choice from the following answers:	A) 16	B) 77	C) 99	D) 14	E) 12

Solution: 4/18 + (x -7)/27 + x/36 = 1   x = 16 days. 16nswer: 16
Answer: A
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 14% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level? Select the correct option:
A) $1600 B) $5333 C) $6050 D) $7050 E) $8000

Solution: Let T be the tier price, P be total price = 14000   Per the given conditions:   0.14T + 0.08(P-T) = 1440 ----> T=5333. $5333 is the correct answer.
Answer: B
A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	Choose one.
A) 298 m	B) 300 m	C) 800 m	D) 967 m	E) 1181 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (500 + x)/60 = 65/3   x = 800 m.   Answer: 800 m
Answer: C
Dacid obtained 86, 89, 82, 87 and 81 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Answers:  A) 79  B) 99  C) 88  D) 85  E) 75

Solution: Average = (86+89+82+87+81)/5   = 425/5= 
425/5 = 85
85.   Answer:85
Answer: D
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:	Choose the correct choice from the following answers:  A) 26  B) 48  C) 11  D) 56  E) 7

Solution: Speed in still water = 1/2(a+b)km/hr   =1/2(14+8)km/hr=11 km/hr.   Answer:11
Answer: C
What is the are of an equilateral triangle of side 12 cm? Choose the correct choice from the following choices
A) 36âˆš3 cm2	B) 74âˆš3 cm2	C) 64âˆš3 cm2	D) 64âˆš5 cm2	E) 14âˆš3 cm2

Solution: 36âˆš3 cm2rea of an equilateral triangle = âˆš3/4 S2   If S = 12, 36âˆš3 cm2rea of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;   36âˆš3 cm2nswer:36âˆš3 cm2
Answer: A
If one-third of one-fourth of a number is 18, then three-tenth of that number is:
A. 35	Pick.
A) 23
B) 87
C) 26
D) 64.8
E) 01

Solution: Explanation:   The number is 1/3 of 1/4 is =15 then 1/3 Ã— 1/4 = 18   Number is 216 then 216 Ã— 3/10 = 64.8   Answer: 64.8
Answer: D
The true discount on a bill of Rs.4320 is Rs.720.The banker's discount is  Select.
A) 862 B) 864 C) 866 D) 868 E) None of these

Solution: Solution   P.W	= Rs.(4320 - 720)   = Rs. 3600   S.I on Rs. 4320	=Rs.(720/3600 x 4320)   = Rs. 864.   Answer 864
Answer: B
How many revolutions will it take for a circular wheel of 1.52 m radius to travel a distance of 1 km? Select
A) 7554.2 B) 3554.2 C) 1554.2 D) 9454.2 E) 9554.3

Solution: 2 * 22/7 * 1.52 * x = 9554.3   x = 1000   Answer: 9554.3
Answer: E
Pat, Kate, and Mark charged a total of 126 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?	Choose the most appropriate option
A) 18  B) 36  C) 72  D) 70  E) 108

Solution: 70   all u do is do   2:1:6=>2x+x+6x=126=>x= 14   28:14:84   84-14= 
84-14 = 70
70   Answer 70
Answer: D
Find the area of a cuboid of length 12cm , breadth 6 cm . and height 10cm.
Pick.
A) 400 cm cube
B) 410 cm cube
C) 720 cm cube
D) 730 cm cube
E) 480 cm cube

Solution: Area of a cuboid = lxbxh =12cm x 6cm x 10cm = 720 cm cube   answer :720 cm cube
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?  Choose the most appropriate option.
A) 20% B) 28% C) 22% D) 23% E) 29%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer:20%
Answer: A
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?  Choices
A) 15 kmph  B) 10 kmph  C) 12 kmph  D) 12.5 kmph  E) None of these

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   ANSWER:12.5 kmph
Answer: D
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choose the correct option: A) 50 km B) 58 km C) 60 km D) 70 km E) 65 km

Solution: A   50 km   Let the actual distance traveled be x km. Then,   x/10 = (x + 20)/14   4x - 200 =>x = 50 km.
Answer: A
What is the area of a square field whose diagonal of length 30 m?	Pick:
A) 287	B) 269	C) 450	D) 200	E) 230

Solution: d2/2 = (30 * 30)/2= 
(30 * 30)/2 = 450
450   Answer:450
Answer: C
Two trains start from A & B and travel towards each other at
speed of 70kmph and 80kmph resp. At the time of the meeting the
second train has traveled 200km more than the first.the distance
between them.
Choose the most appropriate option.
A) 2500 km B) 3000 km C) 3500 km D) 4000 km E) 4500 km

Solution: Let the distance traveled by the first train be x km   then distance covered by the second train is x + 200km   x/70 = x+200 / 80   x= 1400   so the distance between A & 3000 km is x + x + 200 = 3000 km   Answer is 3000 km.
Answer: B
In a particular city there are 100 homes numbered from 1,2,3,..,100. The city was build by a builder from Chennai. There was 4 to 5 shops in the town which was build by a builder from Mumbai. The 2nd builder can build in 1½ times as compared to time by 1st builder. The 2nd builder builds in 15 days, then how many 2's are used by the builder from Chennai in
numbering the 100 homes? Select the correct option:
A) 17	B) 18	C) 19	D) 20	E) 21

Solution: in the last line it should be given   the builder from Chennai in numbering the 100 homes?   then ans is 20   ANSWER:20
Answer: D