MU-NLPC/Calc-aqua_rat huggingface dataset:
What will be the day of the week 15th August, 2010?	Choose the correct answer:
A) Thursday	B) Sunday	C) Monday	D) Saturday	E) None of these

Solution: Explanation :   15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)   We know that number of odd days in 400 years = 0   Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)   Number of odd days in the period 2001-2009   = 7 normal years + 2 leap year   = 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day   Days from 1-Jan-2010 to 15-Aug-2010   = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 30(Jun) + 31(Jul) + 15(Aug)   = 227   227 days = 32 weeks  + 3= 
 + 3 = 3
3 odd day   Total number of odd days= (0 + 4 + 3)= 
(0 + 4 + 3) = 7
7 odd days= 0 odd day   0 odd day = Sunday   Hence 15th August, 2010 is Sunday   Answer : Option Sunday
Answer: B
A is twice as good workman as B, and together they complete a work in 10 days. In how many days can the work be complete by B alone?	Choose the correct choice from the following:  A) 35 days  B) 30 days  C) 45 days  D) 75 days  E) 95 days

Solution: 30 days=3A   30 days   30 days
Answer: B
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 20 ps per meter is?	Choose the correct choice from the following answers:
A) s.122	B) s.129	C) s.125	D) s.95	E) s.121

Solution: 3x * 2x = 3750 => x = 25   2(75 + 20) = 190 m   190 * 1/2 = Rs.95   Answer:s.95
Answer: D
What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58? Select
A) 3944 B) 2882 C) 2999 D) 2667 E) 1392

Solution: Let the side of the square plot be a ft.   a2 = 36=> a = 6   Length of the fence = Perimeter of the plot = 4a = 24ft.   Cost of building the fence = 24 * 58 = Rs. 1392.   Answer: 1392
Answer: E
36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part?	Options:  A) 15  B) 19  C) 23  D) 24  E) 25

Solution: Explanation:   Let the first part be x.   8x + 3 (36 – x) = 203   8x + 108 – 3x = 203   5x + 108 = 203   5x = 95   x = 19   ANSWER: 19
Answer: B
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 16 heads and 41 legs. How many cats does the ship host?	Choose the most appropriate option:
A) 5  B) 6  C) 4  D) 7  E) 8

Solution: sa's +co +ca +cats = 16. sa's + 1 +1 +cats =16 or sa's +cats =14.   sa's(2) +2 +1 +cats*4 =41 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 14-cats +cat*2 =19   then cats =5   5
Answer: A
A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?
Choose the correct choice from the following choices.
A) 12 days  B) 12 1/4 days  C) 14 days  D) 24 1/2 days  E) None of these

Solution: Let total money be Rs. x   A's 1 day's wages=Rs.x/21, B's 1 day's wages=Rs.x/28   (A+B)'s 1 day's wages=Rs.(x/21+x/28)=Rs.x/12;   Money is sufficient to pay the wages of both for 12 days.   Correct Option: 12 days
Answer: A
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6360, what is the length of the plot in metres?	Choose the correct choice from the following answers
A) 70
B) 200
C) 300
D) 400
E) 140

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 6360   [4L - 40] = 6360 / 26.50= 
6360 / 26.50 = 240
240   4L= 280   L = 280/4= 
280/4 = 70
70 meters. 70nswer: 70
Answer: A
A thief steels a car at 3p.m. and drives it at 20kmph. The theft is discovered at 4p.m. and the owner sets off in another car at 40 kmph. When will he overtake the thief?
Choose the most appropriate option:
A) 9p.m.	B) 9.30p.m.	C) 5p.m.	D) 6a.m.	E) 10.15 p.m.

Solution: Suppose the thief overtakes x hours after 6a.m.   Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)   20x = 40(x-1)   20x = 40   x = 2 hrs   Thief is overtaken at 5p.m.   Answer is 5p.m.
Answer: C
In a partnership between A, B and C. A's capital is Rs.6000. If his share of a profit of Rs.700 is Rs.200 and C's share is Rs.130, what is B's capital?
Choose the correct choice from the following answers:	A) Rs.11000	B) Rs.11600	C) Rs.11700	D) Rs.11100	E) Rs.11200

Solution: 200 + 130= 
200 + 130 = 330
330   700 - 330= 
700 - 330 = 370
370   200 ---- 6000   370 ---- ?=> 11100   ANSWER:Rs.11100
Answer: D
The speed at which a boy can row a boat in still water is 36 kmph. If he rows downstream, where the speed of current is 54 kmph, what time will he take to cover 750 metres?  Choose the correct option.
A) 29
B) 30
C) 32
D) 34
E) 36

Solution: Speed of the boat downstream = 36 + 54= 
36 + 54 = 90
90 kmph= 90 * 5/18= 
90 * 5/18 = 25
25 m/s   Hence time taken to cover 750 m= 750/25= 
750/25 = 30
30 seconds.   Answer: 30
Answer: B
If log√8 x = 3×1/3, find the value of x.	Choose the correct choice from the following options
A) 25 B) 32 C) 37 D) None of these E) Cannot be determined

Solution: Solution   log√8 x	= 10/3.   x	=( √8)10/3   =2( 3/2×10/3)   =2 5   = 32.   Answer 32
Answer: B
If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of
Rs. 1000	Pick one.
A) 10
B) 20
C) 30
D) 40
E) 50

Solution: Explanation:   Clue: 10nswer will be 5% of 1000 - 4% of 1000   10nswer: Option 10
Answer: A
The measurements obtained for the interior dimensions of a rectangular box are 50 cm by 50 cm by 75cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
Choose the correct choice from the following:
A) 12,000 B) 13,000 C) 14,000 D) 10,000 E) 15,000

Solution: The options are well spread so we can approximate.   Changing the length by 1 cm results in change of the volume by 1*50*75= 
1*50*75 = 3_750
3750 cubic centimeters;   Changing the width by 1 cm results in change of the volume by 50*1*75= 
50*1*75 = 3_750
3750 cubic centimeters;   Changing the height by 1 cm results in change of the volume by 50*50*1= 
50*50*1 = 2_500
2500 cubic centimeters.   So, approximate maximum possible difference is 3750 + 3750 + 2500= 10,000 cubic centimeters.   Answer: 10,000.
Answer: D
What is the remainder when 7^74 - 5^74 is divided by 8?  Choose the most appropriate option
A) 0	B) 2	C) 0	D) 3	E) None of these

Solution: easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (48+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0   Ans : 0
Answer: C
7 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?  Answers:
A) 41	B) 42	C) 45	D) 46	E) 47

Solution: There are 10 candidates and a voter has to vote for any two of them.   So, the required number of ways is,   = 10C2 = 45.   45
Answer: C
The ratio of number of boys and girls in a school is 2:7. If there are 360 students in the school, find the number of girls in the school?  Select the correct option:
A) 150	B) 250	C) 300	D) 370	E) 280

Solution: Let the number of boys and girls be 2x and 7x   Total students = 360   Number of girls in the school = 7*360/9= 
7*360/9 = 280
280   Answer is 280
Answer: E
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 2 cups of tea. Last week Mo drank a total of 16 cups of tea and hot chocolate together. If during that week Mo drank 4 more tea cups than hot chocolate cups, then how many rainy days were there last week? Choose the correct choice from the following options: A) 6 B) 3 C) 4 D) 5 E) 2

Solution: T= the number of cups of tea   C= the number of cups of hot chocolate   T+C = 16 T-C=4 -> T= 10. C=6.   Mo drinks 5 cups of tea a day then number of days that are not rainy = 10/2= 
10/2 = 5
5   So number of rainy days= 7-5= 
7-5 = 2
2   2 is the answer.
Answer: E
If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?	Choose the correct choice from the following answers.
A) 2	B) 8	C) 7	D) 3	E) 10

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 72,000 m : C is the circumference   C = 3 meters
Answer: D
If the length of the sides of two cubes are in the ratio 7:1, what is the ratio of their total surface area?  Select
A) 7:1 B) 14:1 C) 21:1 D) 42:1 E) 49:1

Solution: Let x be the length of the small cube's side.   The total surface area of the small cube is 6x^2.   The total surface area of the large cube is 6(7x)^2=294x^2.   The ratio of surface areas is 49:1.   The answer is 49:1.
Answer: E
The food in a camp lasts for 40 men for 45 days. If ten more men join, how many days will the food last? Options.
A) 32days  B) 34days  C) 36days  D) 38days  E) 40days

Solution: one man can consume the same food in 40*45= 
40*45 = 1_800
1800 days.   10 more men join, the total number of men= 50   The number of days the food will last = 1800/50= 
1800/50 = 36
36 days.   Answer: 36days
Answer: C
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 3940 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?  Answers
A) 2160	B) 2350	C) 2000	D) 2300	E) None of these

Solution: Explanation :   Total Exp = 5000+1500+4500+2500+2000+3940= 
5000+1500+4500+2500+2000+3940 = 19_440
19440   Exp in %= 100-10= 
100-10 = 90
90%, 19440= 90%   Saving = 10 % = 19440 X 10/90 = Rs. 2160   2160nswer : 2160
Answer: A
A train passes a station platform in 33 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choose the correct choice from the following answers:
A) 228  B) 240  C) 887  D) 195  E) 1811

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/33= 15 => x = 195 m.   Answer: 195
Answer: D
A tourist purchased a total of $1,600 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?	Choose the most appropriate option:	A) $1,430	B) $1,370	C) $1,290	D) $1,270	E) $1,150

Solution: since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks   Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3   using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost   Therfore   1600 - 230= 
  1600 - 230 = 1_370
1370 hence answer is $1,370
Answer: B
A data set with a mean of 60 has a standard deviation of 1.5. Which of the following is the smallest number that falls within one standard deviation of the mean? Choices:
A) 53
B) 56
C) 58
D) 63.5
E) 65

Solution: One standard deviation of the mean is from{mean}-{deviation}=60-1.5= 
60-1.5 = 58.5
58.5 to{mean}+{deviation}=60+1.5=61.5. The smallest number within this range from the options is 58.   Answer: C.   Hope this helps.
Answer: C
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the W odds that it is an ace?  Choose one:
A) 1/52
B) 1/26
C) 1/13
D) 1/4
E) 5/13

Solution: The question should ask about the probability not the odds.   There are 13 spades, the probability W that the spade we already have is an ace is therefore 1/13.   Answer: 1/13.
Answer: C
2 numbers are there in the ratio 1:3. If 4 is to be added to both of the numbers the ratio will become 4:9 then find initial numbers?
Choose the correct choice from the following answers: A) 6,7 B) 6.7,20.1 C) 5.6,13.7 D) 12.6,15.3 E) 4.6,18.6

Solution: Let 2 numbers are x,3x   after adding 3 on both numbers x+4, 3x+4   x+4:3x+4 = 4:9   9(x+4) = 4(3x+4)   x = 6.7   Intial numbers = 3x,4x = 6.7,20.1   Answer is 6.7,20.1
Answer: B
Monisha are used to buy a video game for $40. Lately, these games were subject to 20% price increase. What is the new price of the video game?	Pick
A) $46	B) $47	C) $48	D) $49	E) $45

Solution: Solution:   The price increase is 40 x 20/100 = $8   The new price is   40 + 8= 
  40 + 8 = 48
$48   Answer $48
Answer: C
If x = (y)(y + 1) and y is a prime number less than 8, which of the following could not be the product of 2 consecutive integers? Answers:
A) a) 5x
B) b) 11x
C) c) 13x
D) d) 57x
E) e) 21x

Solution: Given y is a prime number less than 11   possible values of y are 2 3 5 7   given, x=y*(y+1)   if y = 2 x=2*3= 
2*3 = 6
6   if y= 3 x=3*4= 
3*4 = 12
12   if y= 5 x=5*6= 
5*6 = 30
30   if y= 7 x=7*8= 
7*8 = 56
56   so possible values of x are 6,12,30,56   So from options   A. 5x can be (5*6)   B. 11x can be (11*12)   C. 13x can be (13*12)   D. 57x can be (56*57)   E. 21x cannot be   So answer option e) 21x
Answer: E
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 4 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? Options:
A) 2  B) 9  C) 15  D) 18  E) 30

Solution: Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes.   Then under plan A the cost would be $0.6+0.06(t-4) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-4)=0.08t --> 60+6(t-4)=8t --> t=18.   Answer: 18.
Answer: D
There are two sections P and Q of a class, consisting of 144 and 176 students respectively. If the average weight of sections A is 160 kg and that of sections Q is 140 kg. Find the average weight of the whole class
Choose the correct choice from the following options.
A) 147.5	B) 148.0	C) 148.5	D) 149.0	E) None

Solution: Solution   Total weight of(144+176)Students	= (144x160+176x140)Kg   = 47680 kg.   Average weight of the whole class	= (47680 / 320)   = 149.00.   Answer 149.0
Answer: D
A trader bought a car at 20% discount on its original price. He sold it at a 45% increase on the price he bought it. What percent of profit did he make on the original price?	Choose the correct answer
A) 17% B) 72% C) 12% D) 82% E) 16%

Solution: Original price = 100   CP = 80   S = 80*(145/100)= 
80*(145/100) = 116
116   100 - 116= 16%   Answer:16%
Answer: E
Pipe P can drain the liquid from a tank in 2/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank? Choose the correct choice.
A) 3/13 B) 8/23 C) 3/8 D) 17/29 E) 3/4

Solution: Suppose Q can drain in 1 hr. So, rQ = 1/1= 
1/1 = 1
1   So, rP= 1/[(2/4)rQ] = 4/2   Also, rP = rR/(2/3) => 2 = rR/(2/3) => rR = 4/3   Let H is the time it takes to drain by running all 3 pipes simultaneously   So combined rate = rC = 1/H = 1 + 2 + 4/3 = 13/3 = 1/(3/13)   Thus running simultaneously, Pipe Q will drain 3/13 of the liquid.   Thus answer = 3/13.
Answer: A
On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?  Choose the correct choice:
A) 10200
B) 10000
C) 9500
D) 9000
E) None

Solution: Explanation :   => One-legged =5% of 10000=500   => Remaining=10000-500= 
10000-500 = 9_500
9500=> Barefooted=9500/2= 
9500/2 = 4_750
4750=> Remaining people= 9500-4750= 
9500-4750 = 4_750
4750=> Hence required number of shoes= 4750*2+500*1= 
4750*2+500*1 = 10_000
10000   Hence (B) is the correct answer.   Answer : 10000
Answer: B
A can do a piece of work in 13 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?	Options:
A) 15 10/11 days  B) 10 10/11 days  C) 12 10/11 days  D) 19 10/11 days  E) 13 10/11 days

Solution: 10 10/11 days   (x â€“ 5)/13 + x/20 = 1   x = 10 10/11 days
Answer: B
If the price of petrol increases by 25% and Kevin intends to spend only 15% more on petrol. By how much percent should he reduces the quantity of petrol that he buys?
Choose the correct choice from the following choices:
A) 8
B) 9
C) 7
D) 2
E) 6

Solution: Explanation:   Let Petrol Price 100 per Liter and Quantity he purchases equals to 100 Liters   Then total expenditure = 100 × 100 = 10000   Petrol Price is increased by 25%. So new price = 125 per litre   And he increases the expenditure by 15%. So expenditure limit = 11500   Now his quantity = 11500/125= 
11500/125 = 92
92 liters   So the quantity is reduced by 8%   8nswer: 8
Answer: A
A train 360 m long is running at a speed of 60 km/hr. In what time will it pass a bridge 140 m long? Choose the correct option:
A) 40 sec  B) 30 sec  C) 26 sec  D) 27 sec  E) 34 sec

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 3/50= 
500 * 3/50 = 30
30 sec   Answer: 30 sec
Answer: B
what is average of 2000 terms of the given series
1,-3,2,-4,3,-5,4,....	Choose the correct choice from the following choices:	A) 1	B) 0.5	C) -0.5	D) -1	E) -2

Solution: 1-3=-2   2-4=-2   3-5=-2...   we get 1000 -2s for 2000 numbers.   for 2000 terms the average= -2(1000)/2000   = -1   ANSWER:-1
Answer: D
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/5 % his yearly income diminishes by Rs.61.50. his capital is	Choose the correct choice from the following answers:
A) 153.75	B) 37.78	C) 246.0	D) 27.88	E) 127.71

Solution: Explanation:   Capital = Rs.x , then   2/5x = 153.75   153.75nswer: 153.75) Rs.153.75
Answer: A
A clock shows the time as 9 a.m. If the minute hand gains 7 minutes every hour, how many minutes will the clock gain by 6 p.m.?
Choose the correct choice.
A) 30 min B) 35 min C) 63 min D) 50 min E) 55 min

Solution: there are 9 hours in between 9 a.m. to 6 p.m.   9*7= 
9*7 = 63
63 minutes.   ANSWER:63 min
Answer: C
Which of the following is the smallest multiple of 3!-4?  Choose the most appropriate option:
A) 4!-22 B) 4!-10 C) 3!+1 D) 4!+20 E) 3!+4

Solution: The expression 3!-4 can be expanded out to (3*2)-4   Therefore (3*2)-4=6-4= 
6-4 = 2
2   Looking at the options the one that gives the lowest multiple of 2 is option 4!-22)
Answer: A
The average age of 16 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 12th student is  Choices:	A) 11	B) 66	C) 18	D) 16	E) 42

Solution: Explanation:   Age of the 16th student = [16 * 16 - (14 * 5 + 16 * 9)] = (256-214)= 
(256-214) = 42
42 years.   Answer: 42
Answer: E
What quantity of water should taken out to concentrate 15 liters of 40% acidic liquid to 60% acidic liquid?
Choose one.
A) 5liters	B) 10liters	C) 15liters	D) 8liters	E) 6liters

Solution: Required answer is = 15(60-40)/60 = 5 liters   5litersnswer is 5liters
Answer: A
((-1.9)(0.6) – (2.6)(1.2))/4.0 = ?
Choices:
A) -0.71  B) 1.0  C) 1.07  D) 1.71  E) -1.065

Solution: Dove straight into calculation   ((-1.9)(0.6) – (2.6)(1.2))/4.0 = -1.065   Answer -1.065
Answer: E
the ratio of water and milk is 2:3.after adding 4litre milk ratio become 1:2? calculate amount of water?	Choose the most appropriate option.
A) 6
B) 8
C) 5
D) 10
E) 12

Solution: water is 2x and milk is 3x.   2x/3x+4=1/2,4x=3x+4,x=4   amount of water=2x=8 litre   answer 8
Answer: B
What day of the week will 22 Apr 2222 be?  Choose the correct choice from the following:
A) Monday	B) Tuesday	C) Sunday	D) Thursday	E) None of these

Solution: Explanation :   22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)   We know that number of odd days in 400 years = 0   Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)   Number of odd days in the period 2001-2200   = Number of odd days in 200 years   = 5 x 2 = 10 = 3   (As we can reduce perfect multiples of 7 from odd days without affecting anything)   Number of odd days in the period 2201-2221   = 16 normal years + 5 leap years   = 16 x 1 + 5 x 2 = 16 + 10= 
16 + 10 = 26
26= 5 odd days   Number of days from 1-Jan-2222 to 22 Apr 2222   = 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112   112 days = 0 odd day   Total number of odd days = (0 + 3 + 5 + 0)= 
(0 + 3 + 5 + 0) = 8
8= 1 odd day   1 odd days = Monday   Hence 22 Apr 2222 is Monday. Mondaynswer : Option Monday
Answer: A
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% 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 9%. If Ron imported a $18,000 imported car and ended up paying $1950 in taxes, what is the first tier's price level?  Choose the correct choice from the following:
A) $11500 B) $11000 C) $12000 D) $12100 E) $12500

Solution: Let T be the tier price, P be total price = 18000   Per the given conditions:   0.12T + 0.09(P-T) = 1950   0.12T+0.09*18000-0.09T =1950   0.03T +1620 = 1950   0.03T = 1950-1620= 
1950-1620 = 330
330   T= 330/0.03= 
330/0.03 = 11_000
11000   Answer $11000
Answer: B
The value of (9x10^7)(3x10^8) is closest to which of the following?  Select the correct option:	A) 10^11	B) 10^12	C) 10^13	D) 10^17	E) 10^18

Solution: multiplying these we get,   27 x 10^7 x 10^8   = 2.7 x 10^16   which is closer to 10^17   Answer: 10^17
Answer: D
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Pick one:
A) 1.6
B) 1.2
C) 1.9
D) 1.3
E) 1.5

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer: 1.5
Answer: E
A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 6 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?	Answers.
A) 24 B) 28 C) 32 D) 36 E) 40

Solution: The ratio is 4:5 = 8:10, so there are 8k males and 10k females.   If 6 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.   8k-5k = 6   k = 2   8k + 10k = 16 + 20= 
16 + 20 = 36
36   The answer is 36.
Answer: D
What will be the cost of building a fence around a square plot with area equal to 81 sq ft, if the price per foot of building the fence is Rs. 58? Select the correct option:
A) 3944	B) 2287	C) 2977	D) 2088	E) 1298

Solution: Let the side of the square plot be a ft.   a2 = 81=> a = 9   Length of the fence = Perimeter of the plot = 4a = 36ft.   Cost of building the fence = 36 * 58 = Rs. 2088.   Answer:2088
Answer: D
The average age of 29 students in a group is 15 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?	Choices
A) 31	B) 36	C) 29	D) 53	E) 57

Solution: age of the teacher=(29*16-29*15)= 
(29*16-29*15) = 29
29 years.   ANSWER:29
Answer: C
If 0.60 : x : : 6 : 2, then x is equal to	Choose the correct option:
A) 0.2  B) 0.5  C) 2.5  D) 1.8  E) None

Solution: Sol.   (x×6) = (0.60×2) ⇒ x = 0.60/6 = 0.2.   0.2nswer 0.2
Answer: A