MU-NLPC/Calc-aqua_rat huggingface dataset:
A swimmer swims downstream 55 km and upstream 10 km taking 5 hours each time; what is the speed of the current?
Choose the correct choice from the following options.
A) 4.6
B) 4.5
C) 4.4
D) 4.3
E) 4.2

Solution: 55 --- 5 DS = 11   ? ---- 1   10 ---- 5 US = 2   ? ---- 1 S = ?   S = (11 - 2)/2= 
(11 - 2)/2 = 9/2 = around 4.5
4.5   Answer:4.5
Answer: B
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets.	Choose the correct choice from the following answers.
A) 40%  B) 50%  C) 60%  D) 70%  E) 75%

Solution: Explanation:   Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50 %   ANSWER IS 50%
Answer: B
What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 11 nor by 30?	Choose the correct choice from the following:	A) 884	B) 890	C) 892	D) 910	E) 945

Solution: Normally, I would use the method used by Bunuel. It's the most accurate. But if you are looking for a speedy solution, you can use another method which will sometimes give you an estimate. Looking at the options (most of them are spread out), I wont mind trying it. (Mind you, the method is accurate here since the numbers start from 1.)   In 1000 consecutive numbers, number of multiples of 11 = 1000/11 = 90 (Ignore decimals)   In 1000 consecutive numbers, number of multiples of 35 = 1000/35 = 28   Number of multiples of 11*35 i.e. 385 = 1000/385 = 2   Number of integers from 1 to 1000 that are divisible by neither 11 nor by 35 = 1000 - (90 + 28 - 2) {Using the concept of sets here) = 884   Think: Why did I say the method is approximate in some cases?   Think what happens if the given range is 11 to 1010 both inclusive (again 1000 numbers)   What is the number of multiples in this case?   884
Answer: A
What is the least number of cut pieces of equal length that can be cut out of two lengths 10 meters 857 millimeters and 15 meters 87 millimeters.	Choose the correct option:
A) 184
B) 266
C) 255
D) 887
E) 111

Solution: Here, you need to find the HCF. Because, to get least number of equal cut pieces you should cut as big as possible. So, HCF of 10857 and 15087 = 141. (This is the size of each cut piece). Then the number of cut pieces = (10857 + 15087) ÷ 141 = 184.   184nswer:184
Answer: A
(26.3 * 12 * 20)/3+125 = ?
Pick:
A) 2339
B) 2229
C) 4429
D) 5529
E) 2669

Solution: 2229   2229   ? = [( 26.3 * 12 * 20)/3]+125   ? = 2104 + 125= 
2104 + 125 = 2_229
2229
Answer: B
How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose one
A) 24	B) 30	C) 99	D) 77	E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 400 * 3/50= 
400 * 3/50 = 24
24 sec.   24nswer: 24
Answer: A
Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 19.8. The difference between the unit digit and hundreds digit of that number is : Choose the correct option.
A) a) 4 B) b) 3 C) c) 2 D) d) 1 E) e) 0

Solution: Since the average increased by 19.8 and there were a total of 10 numbers, it means the incorrect number was 198 greater than the correct number.   Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)   Then the incorrect number was cba.   100c + 10b + a - (100a + 10b + c) = 198   99c - 99a = 99(c - a) = 198   198 = 99*2 = 99(c - a)   So c - a = 2   Answer (c) 2)
Answer: C
Insert the missing number
5, -10, 20, -40, 80, (....)
Choose the correct answer.
A) 160
B) -160
C) 100
D) -100
E) 0

Solution: 5*-2=-10   -10*-2= 
-10*-2 = 20
20   20*-2=-40   -40*-2= 
-40*-2 = 80
80   80*-2=-160   ANSWER:-160
Answer: B
The average of six numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Choose the correct choice from the following options:  A) 25  B) 27  C) 30  D) 37  E) 40

Solution: Sol.   Therefore excluded number   = (27 × 6) - ( 25 × 5)   = 162 – 125   = 37.   Answer 37
Answer: D
In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 4:3. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned? Choose the correct choice from the following choices:  A) 3:6.  B) 2:3.  C) 1:3.  D) 3:4.  E) 3:16.

Solution: 1st statement : ratio of pants   Store A : Store B   10x : 40x   X:4X   Price :   3y:4y   Total revenue   3xy : 16xy   3:16   Answer : 3:16.
Answer: E
3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 165kg then find the average weight of all the 7 rounds?  Choose the correct choice from the following:	A) 94.2 kgs	B) 88.5 kgs	C) 86.5 kgs	D) 67.5 kgs	E) 88.2 kgs

Solution: 94.2 kgsverage weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 165/7 = 94.2 kgs   94.2 kgsnswer:94.2 kgs
Answer: A
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?	Choose the correct choice from the following choices.
A) 23.58  B) 23.56  C) 23.54  D) 23.57  E) 23.51

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   23.57iameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer:23.57
Answer: D
When sold at a 70% discount, a sweater nets the merchant a 40% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price? Choose the correct choice from the following answers:	A) 20%	B) 40%	C) 50%	D) 60%	E) 78.58%

Solution: we should be careful about what are we measuring % on/what is the base..   let the Marked up price =100..   Selling price= 100-70%of 100=30..   profit= 40%..   therefore the wholesale purchase cost= x.... 1.4x=30   or x=21.42...   marked price was 100 so ...   so answer is 78.58%..   78.58%
Answer: E
How many positive factors do 120 and 80 have in common?  Choose the correct option.
A) 8
B) 12
C) 16
D) 18
E) 24

Solution: The number of common factors will be same as number of factors of the Highest Common Factor(HCF)   HCF of 120 and 80 is 40   Number of factors of 40 = 8   8nswer :8
Answer: A
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Select the correct option:
A) 22 B) 36 C) 55 D) 77 E) 88

Solution: Let f = pure fuji , g = pure gala and c - cross pollinated.   c = 10% of x where x is total trees.   c = .1x   also 3x/4 = f and c+f = 204 => .1x + 3/4x = 204 => x = 240   240 - 204 = pure gala = 36.   Answer 36
Answer: B
If n is an integer, then the least possible value of |35 - 6n| is?	Choose the correct choice.
A) 2  B) 3  C) 5  D) 0  E) 1

Solution: |35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1.   Answer: 1.
Answer: E
If MAPLE is coded as VOKZN then how will CAMEL be coded?  Choose the correct answer.
A) OVNZF
B) OUNZX
C) OVNZX
D) XZNVO
E) XZNVV

Solution: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z   Z Y X W V U T S R Q P O N M L K J I H G F E D C B A   So each alphabet is replaced by the above rule and also whole word is reversed i.e MAPLE - after just replacing each alphabet (by above rule) we get NZKOV,then we reverse this word again and we get VOKZN.   so this way OVNZXAMEL becomes OVNZX   ANSWER:OVNZX
Answer: C
A, B, and C contest an election from a particular constituency. A and B together got 50% more votes than C. The vote share of A and C together is 30 percentage points more than the vote share of B. Who won the election?  Choices.
A) A B) B C) C D) Cannot be determined E) none

Solution: Let a,b,c be the vote share of A, B, C respectively   a + b = 1.5 c   a + c = b + 30   a + b + c = 100, 2b + 30 = 100,   b = 35   a = 25, c = 40, So, C won the election.   ANSWER:C
Answer: C
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Choices:
A) 16  B) 88  C) 27  D) 12  E) 11

Solution: Explanation:   Let the required number of bottles be x.   More weavers, More mats (Direct Proportion)   More days, More mats (Direct Proportion)   weavers &4:8 \ days& 4:8::4:x}   }4 x 4 x x = 8 x 8 x 4   x = 16.   16nswer: 16
Answer: A
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?  Choose the correct choice from the following answers:
A) 18 sec  B) 28 sec  C) 48 sec  D) 29 sec  E) 24 sec

Solution: D = 540 + 180= 
540 + 180 = 720
720   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 720/15= 
720/15 = 48
48 sec   Answer: 48 sec
Answer: C
(4300731)-?=2535618  Pick one
A) 1865113  B) 1775123  C) 1765113  D) 1675123  E) None of them

Solution: Let 4300731-x=2535618   then x=4300731-2535618= 
4300731-2535618 = 1_765_113
1765113   Answer is 1765113
Answer: C
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share.  Choose the correct choice:
A) Rs. 3240
B) Rs. 2520
C) Rs. 2880
D) Rs. 3360
E) None of these

Solution: Explanation:   Let C's investment = Rs. x   B's investment = Rs. (x - 3000)   A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)   Now, (A + B + C)'s investment = Rs. 72000   => x + (x - 3000) + (x + 3000) = 72000   => 3x = 72000   => x = 24000   Hence, A's investment = Rs. 27000   B's investment = Rs. 21000   C's investment = Rs. 24000   Ratio of the capitals of A, B and C   = 27000 : 21000 : 24000   = 9 : 7 : 8   A's share = Rs. [(7/24) Ã— 8640] = Rs. 2520   Answer: Option Rs. 2520
Answer: B
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10 (B + G) is ? Answers:
A) Equal to 3
B) Less than 3
C) More than 3
D) Less than 1/3
E) none of these

Solution: Let number of boys = x   Let number of girls = y   Therefore x/y = B and y/x = G   10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10   ANSWnone of theseR:none of these
Answer: E
If x is an even integer, which of the following must be an odd integer?	Choose the correct choice from the following answers:
A) 3x/2	B) [3x/2] + 1	C) 3x^2	D) [3x^2]/2	E) [3x^2/2] + 1

Solution: x is E (even) and therefore x^2 is E.   3x^2 is E, as it is O*E   Therefore, 3x^2/2 will be E. (since x is integer, x^2 > 2)   If you add 1 to an E number, you will always get odd.   Hence, [3x^2/2] + 1 is the answer.
Answer: E
2 minute is taken to travel the diagonal of square field at 3km/hour.calculate the area of field?
Choose the correct choice from the following answers:	A) 25 are	B) 30 are	C) 50 are	D) 60 are	E) 45 are

Solution: speed of man=[3*5/18] m/sec.=5/6 m/sec., distance travel in 2 minute={5/6*2*60} m.=100 m.   diagonal of square field=100 m   area of field=1/2*diagonal^2=[1/2*100*100] sq.m=5000 sq.m=5000/100= 
5000/100 = 50
50 are(1 are=100 sq. m)   answer 50 are
Answer: C
An elephant fell into a wall of depth 20mts.Everyday it climbs 4mts but at the end falls by 2mts.Find the number of days it would take for the elephant to get out of the wall	Select:  A) 7 days  B) 9 days  C) 8 days  D) 10 days  E) 11 days

Solution: 4-2= 
4-2 = 2
2   2*8= 
2*8 = 16
16   16(8 days)+4(9th day)=20   8+1= 
8+1 = 9
9 days   ANSWER:9 days
Answer: B
Two different natural numbers are such that their product is less than their sum. One of the numbers must be
Choose the correct choice from the following answers:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: Solution   Since 1. x<1+x, so one of the numbers is 1.   1nswer 1
Answer: A
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.	Choose the correct choice:	A) 2399	B) 3888	C) 2999	D) 5808	E) 2888

Solution: Explanation:   Area = (13.86 x 10000) sq.m = 138600 sq.m   Circumference =   Cost of fencing = Rs. (1320 x 4.40) = Rs. 5808.   Answer: 5808) 5808
Answer: D
The traffic lights at 3 different roads change after every 32 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.	Choices:
A) 9:29:24	B) 9:42:15	C) 10:15:24	D) 9:54:12	E) 10:01:20

Solution: LCM of 32,72,108 = 864 =14mnts 24sec   The lines will change every 14m 24sec   The light will change again after 9:15 9:29:24M is = 9:15+0:14:24 = 9:29:24   9:29:24nswer is 9:29:24
Answer: A
Population of a city in 20004 was 1000000. If in 2005 there is anincrement of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at theend of the year 2007  Select
A) 974553	B) 945343	C) 996545	D) 984534	E) 1083875

Solution: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)   = P (1 + 15/100)(1 - 35/100)(1 + 45/100)   = 1083875   1083875
Answer: E
A peanut farmer sells his peanuts through a distributor, which take a commission of 17% of the price set by the farmer. The distributor obtains the product from a farmer at the price of $15 per peanut pound. What is the price that the buyer observers if the distributor wants to maintain a 17% profit on the cost of each pound of peanuts sold?
Select the correct option:
A) 21.15 B) 21.2 C) 21.25 D) 21.3 E) 21.35

Solution: Farmer price = $15;The distributor wants to maintain a 17% profit on the cost of each peanut pound, thus he must get $ 15*1.17= 
 15*1.17 = 17.55
$17.55 after the distributor takes a commission of 17% of the final price --> (final price)*0.83= $17.55 --> (final price) = $21.1521.15nswer: 21.15.
Answer: A
How many numbers from 2 to 13 are exactly divisible by 2?
Choose the correct answer:
A) A)2 B) B)3 C) C)5 D) D)7 E) E)6

Solution: 2/2= 
2/2 = 1
1 and 13/2= 6   6 - 1= 
6 - 1 = 5
5   5 + 1= 
5 + 1 = 6
6 Numbers.   Answer : 6
Answer: E
On January 1, 2011, John invests 60% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 20% in Antarctic smallcaps. In 2011, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 10% in the Antarctic stock market; however, in 2012, largecaps fall 10% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2013, John has the same total amount of retirement savings as he did two years before, then x is between	Choose the correct choice from the following choices
A) 10 and 20	B) 20 and 30	C) 30 and 40	D) 40 and 50	E) 50 and 60

Solution: Pick a smart number for the total retirement savings John starts with—say, $1,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)   Here are the starting values:   L = $600   M = $200   S = $200   Apply the first year’s changes, so that you have these numbers on 1/1/2012:   Newer L = $600 + 10% = $660   Newer M = $200 + 20% = $240   Newer S = $200 + 10% = $220   Now apply the second year’s changes to L and M:   Newest L = $660 – 10% = $660 – $66 = $594   Newest M = $240 – 10% = $240 – $24 = $216   Add these to get $810. So the newest S must be $1,000 (the target final total of John’s retirement savings) minus $810, $190   The dollar change in S from 1/1/12 to 1/1/13 is $220 – $30 = $190. So the question is this: what percent change does $190 represent, from a starting point of $220? Since $220 is a nasty divisor, switch to benchmarks:   10% of $220 = $22.   So 20% is just double that, or $44.   And so on.   From this $30 lies between $22 and $44   The correct answer is 10 and 20.
Answer: A
If sin x + cos x =
1/2
, then what is the value of sin-3- x + cos-3-x?
(Suggestion: Do not nd the individual values of sin x and cos x.)  Choose one: A) 1 /2 B) 3/ 4 C) 9 /16 D) 5/ 8 E) 11/ 16

Solution: Since sin x + cos x = 1=2, we get   1   4   = (sin x + cos x)2 = sin2 x + 2 sin x cos x + cos2 x = 1 + 2= 
1 + 2 = 3
􀀀3=8. Thus,   sin3 x + cos3 x = (sin x + cos x)(sin2 x 􀀀 sin x cos x + cos2 x) =   1/21 +   3/8 =   11/16   correct answer 11/ 16
Answer: E
In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 10% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?
Choose the correct choice from the following options
A) a) 50%  B) b) 53%  C) c) 54%  D) d) 55%  E) e) 57%

Solution: Let total voters = 100   so D= 60, vote for the mayor 60*75%=45 (60*3/4)   R= 40, vote for the mayor 40*20%= (40*1/5)   45+8= 
45+8 = 53
53   53/100*100=57%   e) 57%
Answer: E
If k is an integer and 0.00010101 x 10^k is greater than 100, what is the least possible value of k?  Choose the correct choice from the following choices
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: 0.00010101 * 10^k > 100   We need to move the decimal point to the right 6 places to get 101.01   This is equivalent to multiplying by 10^6.   The answer is 6.
Answer: D
6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.	Choose the correct choice from the following answers:	A) 12	B) 15	C) 18	D) 47	E) 4

Solution: Explanation :   Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b   Work done by 6 men and 8 women in 1 day = 1/10   => 6m + 8b = 1/10   => 60m + 80b = 1 --- (1)   Work done by 26 men and 48 women in 1 day = 1/2   => 26m + 48b = ½   => 52m + 96b = 1--- (2)   Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200   Work done by 15 men and 20 women in 1 day   = 15/100 + 20/200 =1/4   => Time taken by 15 men and 20 women in doing the work = 4 days   ANSW4R:4
Answer: E
When positive integer x is divided by positive integer y, the remainder is 6. If x/y = 96.15, what is the value of y?
Pick one.
A) 96 B) 75 C) 40 D) 25 E) 12

Solution: by the definition of a remainder, the remainder here is equal to 6/y. the remainder in decimal form is given as .15   therefore, 6/y = .15   solve for y and get 40.   40
Answer: C
Fifty percent of the subscribers to newspaper X are corporate managers and, of these, 30 percent are in the financial field. If 40 percent of the subscribers who are corporate managers in the financial field are money managers, how many of the newspaper's 25000 subscribers are corporate money managers in the financial field?
Choose the correct choice from the following.
A) 1,500	B) 3,000	C) 3,750	D) 7,500	E) 8,750

Solution: Total Subscribers : 25k. Out of these, # of Corporate Managers = 12.5k. Out of these , 30 % are in financial field = 3.75k.   Thus, we have 3.75k Corporate managers, who are in financial field, and 40% of these are money managers = 1.5k   1,500NSWER:1,500
Answer: A
An bus covers a certain distance at aspeed of 240 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of? Choose the most appropriate option
A) 450 km/hr B) 466 km/hr C) 559 km/hr D) 878 km/hr E) 720 km/hr

Solution: Distance = (240 x 5) = 1200 km.   Speed = Distance/Time   Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1200 x 3 km/hr = 720 km/hr.   5   720 km/hr
Answer: E
The residents of the town A participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town A, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week? Choose the most appropriate option.
A) - 30  B) - 20  C) - 6  D) - 12  E) - 16

Solution: (21-6*2)<number of hours that Pat watched television last week <(21-6*1)   =9<W<15   12=- 6.
Answer: C
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $310,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?	Answers:
A) $1,292 B) $1,733 C) $3,466 D) $12,917 E) $20,796

Solution: 0.04x + 0.09y = 310000 [1]   0.04x = 0.80 * 310000= 
0.80 * 310000 = 248_000
248000 [2]   248000 + 0.09y= 310000 --> 0.09y = 62000 [3]   248000 / 12 = 258333.3333 [4]   62000 / 12 = 5166.67 [5]   $1,292dding [4,5] we get: 25833 [6]   Dividing [6] / 2 to get an average we get 1.292,$1,292NS $1,292
Answer: A
a square of 2 unit is given and four circles are made on its corners having equal radius of each. and another circle of equAl radius is made on the center of the square. find out the area of square which is not covered by circles?  Choose the correct answer:
A) 0.76
B) 0.86
C) 0.96
D) 1.16
E) 1.26

Solution: let the radius of circle is 'r'   area of the circle which is at corner = (22/7*r^2)/4   hence the area of all four circles are = 22/7*r^2   areaof circle which is made on center of suare is = 22/7*r^2   total area of all circles are = 2*22/7*r^2...........................(1)   if we construct the diagram we get the relation   4r = 2sqrt2   r = 1/sqrt2   put the value of r in eqn 1 and we get   2*22/7*1/2 = 22/7 = 3.14   area of suare = 2^2 = 4   area of remaining part = 4-3.14= 
4-3.14 = 0.86
0.86   ANSWER:0.86
Answer: B
If s and t are positive integers such that s/t = 64.16, which of the following could be the remainder when s is divided by t?  Choose the correct choice from the following options:  A) 15  B) 18  C) 24  D) 30  E) 35

Solution: 0.16 = 4/25   The remainder must be divisible by 4.   The answer is 24.
Answer: C
The arithmetic mean of 2 numbers is 34 and their geometric mean is 16. One of the numbers will be Choose the correct option:
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: A.M=x+y2=34   x+y=68   G.M=(x.y)^1/2=16   x.y=256   x^2-68x+256=0   x=4 or 64   ANSWER:4
Answer: D
What is the sum of mean and median of 17, 45, 59, 113, 76, 95, 59, 35, 12,36 ? Choose the correct choice from the following options:	A) 50.2	B) 45.8	C) 54.7	D) 61.8	E) 10.5

Solution: mean = (17+ 45+ 59+ 113+ 76+ 95+ 59+ 35+ 12 + 36)/10 = 547/10= 
547/10 = 547/10 = around 54.7
54.7   Answer is 54.7
Answer: C
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 8 salespeople on staff, how many different arrangements of winners are possible?
Choose the correct choice from the following choices: A) 1,728 B) 1,440 C) 336 D) 220 E) 6

Solution: [quote=Bunuel]A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 8 salespeople on staff, how many different arrangements of winners are possible?   8*7*6= 
8*7*6 = 336
336   Answer : 336
Answer: C
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Select the correct option.
A) 2 (1/2) km/h	B) 4 km/h	C) 6 km/h	D) 3 km/h	E) 7 km/h

Solution: Explanation:   100 --- 10 3 km/hS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   Answer: Option 3 km/h
Answer: D