MU-NLPC/Calc-aqua_rat huggingface dataset:
A train covers a distance of 18 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct answer:
A) 177
B) 168
C) 120
D) 882
E) 180

Solution: Speed = (18/10 * 60) km/hr = (108 * 5/18) m/sec = 30 m/sec.   Length of the train = 30 * 6= 
30 * 6 = 180
180 m.Answer:180
Answer: E
Arun is 4 years older than Sachin, and Jai is 5 times older than Arun. If S is Sachin’s age and J is Jai’s age, what is the relationship between S and J?  Choose the correct choice from the following answers.
A) J = 5S + 20
B) J = 5S + 10
C) J = 5S + 5
D) J = 5S − 20
E) J = 5S − 5

Solution: J = 5S + 20=S+4 and J=5J = 5S + 20 --> J=5S+20   J = 5S + 20nswer J = 5S + 20
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'MOTHER' is  Choose the correct choice from the following:
A) 288
B) 767
C) 719
D) 287
E) 112

Solution: Explanation:   Number of words which can be formed = 6! - 1 = 720 - 1= 
720 - 1 = 719
719.   Answer: 719
Answer: C
A trumpet section includes six musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?  Answers
A) 240 B) 125 C) 720 D) 100 E) 25

Solution: We have a word problem using permutations. We must identify the number of total items in the group. There are six possible musicians who could be placed in the first chair, five possible musicians for the second, four for the third, three for the fourth, and two for the fifth and one for the sixth. To determine the number of possible orderings, we multiply these numbers, which we can express as 6!. Now 6! = (6)(5)(4)(3)(2)(1) = 720=720
Answer: C
What approximate value should come in place of the question mark (?) in the following equation ?
1⁄7 of 1596 + 3015 = ? – 2150
Choose the correct choice from the following choices.
A) 7200	B) 48000	C) 5380	D) 58000	E) 6300

Solution: ? ≈ 1 × 230 + 3000 + 2150   = 230 + 3000 + 2150= 
230 + 3000 + 2150 = 5_380
5380   Answer 5380
Answer: C
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $6 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans? Choose the most appropriate option:
A) 9%
B) 10%
C) 11%
D) 35%
E) 15%

Solution: You know that Fox jeans costs $15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So   3(15) = 45 - Fox   2(18) = 36 - Pony   The total discount discount is $6 and you are asked to find the percent discount of pony jeans,   so 45(18 - X)/100 + 36(X)/100 = 6 or 45*18 -45*x + 36*x =6*100 or 9x = -6*100 +45*18= 
-6*100 +45*18 = 210
210/6= 
210/6 = 35
35%   35%
Answer: D
if log 2 = 0.30103, the number of digits in 2128 is Choose the correct choice from the following:
A) 22	B) 39	C) 88	D) 28	E) 11

Solution: Explanation:   log(2128) = 128log(2) = 128 × 0.30103 ≈ 38.4   ie, its characteristic = 38   Hence, number of digits in 2128 = 38+1= 
38+1 = 39
39   Answer: Option 39
Answer: B
The perimeter of one face of a cube is 32 cm. Its volume will be:
Choose the most appropriate option:
A) 125cm3	B) 400cm3	C) 512cm3	D) 625cm3	E) None of these

Solution: Explanation:   Edge of cude = 32/4= 
32/4 = 8
8 cm   Volume= a*a*a = 8*8*8= 
8*8*8 = 512
512 cm cube   Option 512cm3
Answer: C
A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out?  Choose the correct option:	A) 32 m3	B) 36 m3	C) 40 m3	D) 44 m3	E) None

Solution: Sol.   Volume = Πr2h = (22/7 x 1 x 1 x 14)m3   = 44 m3.   Answer 44 m3
Answer: D
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is?	Choose the correct choice from the following options:
A) 52:59  B) 52:53  C) 52:83  D) 52:93  E) 53:53

Solution: Let C.P. of the article be Rs. x.   Then, required ratio = 104% of x / 106% of x   = 104/106 = 52/53 = 52:53   Answer:52:53
Answer: B
Round off the given number to nearest hundreds
4765 Pick one
A) 4800 B) 4900 C) 5000 D) 4600 E) 4700

Solution: the given number is 4765   its tens digit is 6. so replace each of the tens and ones digit by 0 and increase the hundreds digit by 1 to get the rounded off number to the nearest hundred.   correct answer (4800)
Answer: A
What would be the local minimum for the function represented as f(x,y) = x2 +ay+y2 -3x ? Pick one.
A) (1,1)
B) (2,-1)
C) (-1,1)
D) (2,2)
E) (3,2)

Solution: f(x,y) = x2 + ay + y2 - 3x   = 4 - a + 1 - 6   = -a-1   So the above value will be the minimum if u check for all other options also. therefore, the answer is (2,-1)   ANSWER:(2,-1)
Answer: B
There are 25 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?  Choose the correct choice from the following options
A) 156	B) 167	C) 157	D) 352	E) 702

Solution: The total number of stations = 27   From 27 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.   ²⁰P₂ = 27 * 26= 
27 * 26 = 702
702.   Answer: 702
Answer: E
An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discountoffered on it, find its SP? Answers:
A) Rs. 60
B) Rs. 65
C) Rs. 72
D) Rs. 78
E) Rs. 85

Solution: Let CP = Rs. 100x   SP = Rs. 120x   MP = 120x/80 * 100 = Rs. 150x   D = Rs. 150x - Rs. 120x = Rs. 30x   D - P = 30x - 20x = Rs. 6, 10x = Rs. 6   120x = 120/10 * 6 = Rs. 72   Rs. 72
Answer: C
There are 59 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?	Choose the correct choice from the following answers.
A) 2 B) 4 C) 8 D) 29 E) 32

Solution: lets assign variables to all the areas in Venn Diagram of Three.   three different Units are 29OG, Cat, Snake= Total = 59   Only 29og= d=15   Only Cat = c=10   Only Snake = s   Exactly 29og and Cat= 5   Exactly 29og and Snake = x   Exactly Cat and Snake = y   all three= 3   so 59=15+10+5+3+x+y+s   we need to know total snakes= x+y+s+3 = 29   answer:29
Answer: D
3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?  Choose the correct choice from the following
A) 15/7 days B) 15/4 days C) 25/4 days D) 15/9 days E) 15/2 days

Solution: 3M = 6W ---- 20 days   12M + 8W -----?   24W + 8 W = 32W ---?   6W ---- 20 32 -----?   6 * 20  24  + 8= 
 24  + 8 = 32
32W ---?   6W ---- 20 32 -----?   6 * 20= 32 * x => x = 15/4 days   Answer: 15/4 days
Answer: B
If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average Q(arithmetic mean) annual increase in the index over this period?	Choose the correct answer:
A) (x + 100)/18 B) x/18 C) (100 − x)/18 D) (x − 100)/18 E) 100x/18

Solution: CPI in end of 1967 = 100   CPI in end of 1985 = x   Number of years = 18   Average annual increase in CPI Q= (x-100)/18   Answer (x − 100)/18
Answer: D
What is the difference between the local values of 7 in the number 57407?  Choose the correct choice from the following:
A) 6993	B) 2997	C) 3877	D) 5077	E) 1211

Solution: Explanation:   7000 â€“ 7 = 6993   6993nswer:6993
Answer: A
Set A = {1, 2, 3, 4, 5, 6, s}
Which of the following possible values for s would cause Set A to have the smallest standard deviation?  Select
A) 1  B) 2.5  C) 3  D) 3.5  E) 7

Solution: I agree. The mean of the set s=1,2,3,4,5,6 is 3.5 . Now if we add one extra number to the set, in order for the standard deviation to be minimum, that number must be as close as possible to the original set (1,2,3,4,5,6). Therefore we have to choose the number closest to 3,5 from the options we have, leaving D as the best choice.   Answer 3.5.
Answer: D
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time E will it take to fill the bucket to full capacity?	Choose the correct choice
A) 7/18
B) 9/18
C) 2
D) 18/7
E) 18/5

Solution: Solution -   Work and Time are directly proportional. W1/W2=T1/T2   7/10 work in 6 mins   1 work in T mins   (7/10)/1 = 6/T -> T = 60/7 mins.   Remaining minutes to fill the tank E= 60/7 - 6 = 18/7 mins. ANS 18/7.
Answer: D
If a car goes at 80 km/hr instead of 60 km/hr, he would have walked 30 km more. The time traveled by the car is?  Choose the correct choice from the following answers:	A) 2 hours	B) 2.5 hours	C) 3.5 hours	D) 1.5 hours	E) 3 hours

Solution: Let the actual distance traveled be x km. Then,   x/60 = (x + 30)/80   4x - 3x = 90 =>x = 90 km.   Travel time = 90/60 hours = 3/2= 
3/2 = 3/2 = around 1.5
1.5 hours   Answer :1.5 hours
Answer: D
Kevin, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 5/9, 2/5 and 1/2, respectively, what is the probability that only Catherine will solve the problem?	Select.
A) 1/6  B) 1/5  C) 2/3  D) 2/15  E) 1/15

Solution: P(Kevin will not solve)= 1 - 5/9 = 4/9   P(2/15avid will not solve)= 1 - 2/5 = 3/5   P(Catherine will solve) = 1/2   P= (4/9)*(3/5)*(1/2) = 12/90= 2/15   Answer:2/15
Answer: D
Of the students at a certain high school, 90 percent took a course in arithmatic or geometry and 15 percent took courses in both. If the percent of students who took a course in arithmatic was 2 times the percent of students who took a course in geometry, what percent of the students took a course in arithmatic but not geometry?  Pick
A) 40%	B) 60%	C) 55%	D) 50%	E) 45%

Solution: You can also just use the formula   n(A or B) = n(A) + n(B) - n(A and B)   90 = 2X + X - 15   X = 35   2X = 70   This is the number of people who took arithmatic including those who took both. To get the number of people who took only arithmatic, 70 - 15 = 55%   Answer (55%)
Answer: C
Radha purchased a microwave oven and a washing machine for Rs. 5000 and Rs. 30000 respectively. She sold the microwave oven at a loss of 20 percent and washing machine at a profit of 5 percent. Overall she make a.?  Choose one:
A) 400	B) 450	C) 550	D) 500	E) 300

Solution: Let the SP of the microwave oven and the washing machine be Rs. m and Rs. w respectively.   m = 5000(1 - 20/100) = 5000 - 1000   w = 30000(1 + 5/100) = 30000 + 1500   Total SP - Total CP = m + w - (5000 + 30000) = - 1000 + 1500 = Rs. 500   As this is positive, an overall profit of Rs. 500 was made.   Answer: 500
Answer: D
On dividing a number by 8, we get 8 as quotient and 0 as remainder. On dividing the same number by 5, what will be the remainder?
Pick
A) 10
B) 4
C) 8
D) 6
E) 5

Solution: Number = 8 * 8+ 0= 
8 * 8+ 0 = 64
64   5) 64 (12   60   --------   4   Required number= 4.   ANSWER:4
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has travelled 60 km more than the other one. The distance between the two stations is?  Pick one.
A) 222 km
B) 333 km
C) 555 km
D) 444 km
E) 666 km

Solution: 444 km   444 km   1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   444 km = 37 * 12= 
37 * 12 = 444
444
Answer: D
The ratio of the volumes of two cubes is 27: 64. What is the ratio of their total surface areas?	Choose the most appropriate option
A) 18:21
B) 81:13
C) 8:15
D) 16:21
E) 1:13

Solution: Ratio of the sides   = ³√27 : ³√64 = 3 : 4   Ratio of surface areas   = 32 : 42 = 16:21   Answer:16:21
Answer: D
If a is a positive integer, then a(a+1)(a+2) is Choose one.
A) even only when n is odd B) odd whenever n is odd C) divisible by 3 only when n is odd D) divisible by 4 whenever n is even E) even only when n is even

Solution: a*(a+1)*(a+2)= +ve even integer divisible by 4 ( e.g 6,7&8)   divisible by 4 whenever n is even
Answer: D
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent W above the cost price were his articles marked? Choose the correct choice.
A) 100%
B) 80%
C) 75%
D) 66+2/3%
E) 50%

Solution: Good question...2:11 min   Marked Price (M) = Cost Price (C) + Mark up...(EQN. A)   Selling price = 20% Discount over M = 0.8*M   Given that, a customer bargains and receives 20 articles for the price of 15 articles-->*afurther loss of 25%to the dealer--> BUT aNET PROFIT of 20%over cost price (C)   0.75* 0.8 * M =1.2 * C   Hence, M/C = 2/1 = 200%=W   From Eqn. A , (C + Mark up)/C = 200% -->Mark up / C = 100%   Ans. 100%
Answer: A
From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 54 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning  Choices
A) 20  B) 10  C) 30  D) 50  E) 45

Solution: Assume the number of boys at present = x   Then, the number of girls at present = 5x   Before the boys left, the number of boys were (x+54) and number of girls were 5x   Hence, 2(5x) = x + 54   => 10x = x + 54   => x = 6   Number of girls in the beginning = (5x + 15) = (5×6 + 15) = 45   Answer is 45.
Answer: E
A certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water. If between 8 and 20 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately	Choose the correct choice from the following options:
A) 4	B) 5	C) 7	D) 8	E) 9

Solution: If sides are 7, vol=7^3=343   70%= 240.1, 85%=291.55   so vol above water, between 102.9 and 51.45 -->too big   If side are 4, vol = 64   70%=44.8, 85%=54.4   vol above water between 19.2 and 9.6   So 4 should be the answer.   Check option C,   If sides are 5, vol = 125   70%= 87.5, .85%=106.25   vol above water between 18.75-37.5   (Sides are 4 cubic centimeters)   4
Answer: A
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?  Choose the correct choice from the following answers.
A) 584000  B) 504080  C) 504080  D) 504000  E) 504020

Solution: B's monthly income = 15000 * 112/100   = Rs. 16800   B's monthly income   = 2 parts ----> Rs. 16800   A's monthly income   = 5 parts = 5/2 * 16800   = Rs. 42000   A's annual income   = Rs. 42000 * 12   = Rs.504000   Answer:504000
Answer: D
If 40% of a number is 36, then the number is
Choose the correct choice from the following
A) number is 60	B) number is 70	C) number is 90	D) number is 80	E) None of these

Solution: Solution:   Let "a" be the number we seek. We get   40% × a = 36   2 × 40% × a = 2 × 36 = 72   80% × a = 72   10% × a = 72 : 8 = 9   100% × a = 9 × 10 = 90   a = 90   Answer number is 90
Answer: C
If "COMPUTER" was given a code of 111, then what is the sum of "VIRUS" and "WORM"?
Choose the correct choice from the following options.
A) 123  B) 22  C) 20  D) 160  E) 158

Solution: Case – Codes : A - 1, B - 2, C - 3, D - 4, 158 - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26   VIRUS-89   WORM-69   Answer: 158
Answer: E
In digging a pond 20m*10m*5m the volumes of soil extracted will be ?
Select:
A) 100 cu.m
B) 1000 cu.m
C) 10000 cu.m
D) 2000 cu.m
E) 3000 cu.m

Solution: 20*10*5= 
20*10*5 = 1_000
1000Answer : 1000 cu.m
Answer: B
A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 3 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choose one: A) 2110 B) 3210 C) 4320 D) 5430 E) 6540

Solution: The tank is emptied at this rate: 9 + 6 - 3= 
9 + 6 - 3 = 12
12 cubic inches/min   The tank has a volume of  30*12*12*12= 
 30*12*12*12 = 51_840
51840 cubic inches.   The time it takes to empty the tank is 51840/12= 
51840/12 = 4_320
4320 minutes.   The answer is 4320.
Answer: C
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 70 years now, the son's age five years back was:  Pick:
A) 50 years.	B) 40 years.	C) 30 years.	D) 35 years.	E) 45 years.

Solution: Let the son's present age be x years. Then, (70 - x) = x   2x = 70.   x = 35.Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 5 years back (19 - 5)= 
(19 - 5) = 14
14 years.   Answer: Option A   Son's age 5 years back (35 - 5)= 
(35 - 5) = 30
30 years.   Answer: Option 30 years.
Answer: C
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 1.92 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?	Select.
A) $150  B) $200  C) $320  D) $650  E) $810

Solution: The volume of each box is 20*20*12= 
20*20*12 = 4_800
4800 cubic inches.   Number of boxes= 1,920,000/4800 = 400 boxes   Total cost = 400×$0.5=$200   The answer is $200.
Answer: B
If 70 honey bees make 70 grams of honey in 70 days, then 1 honey bee will make 1 gram of honey in how many days?	Choose the correct option.
A) 1
B) 3.5
C) 20
D) 49
E) 70

Solution: Explanation :   Let the required number days be x.   Less honey bees, More days (Indirect Proportion)   Less honey, Less days (Direct Proportion)   Honey bees 1 : 70 :: 70 : x   Honey 70 : 1   => 1 x70 x x = 70 x 1 x 70   => x = 70.   Answer : 70
Answer: E
In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 35% of all the employees are men .What % of all the employee went to the picnic?  Choose the correct answer
A) 33%	B) 34%	C) 35%	D) 36%	E) 37%

Solution: total men in company 35% means total women in company 65%(assume total people in company 100%)   no of men emplyess attended picnic=35x(20/100)=7   no of women empolyees attened picnin=65x(40/100)=26   total percentage of empolyess attened the picnic=7+26= 
7+26 = 33
33%   33%NSWER:33%
Answer: A
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Choose the correct choice
A) 3 : 3 : 10 B) 10 : 11 : 20 C) 23 : 33 : 60 D) Cannot be determined E) None of these

Solution: Explanation:   Let A = 2k, B = 3k and C = 5k.   A's new salary =	115/100 of 2k=23k/10   B's new salary =110/100 of 3k =33k/10   23 : 33 : 60's new salary =	120/100 of 5k =6k   =23:33:60   Answer is 23 : 33 : 60
Answer: C
If x^2=3x+2, then x^3 = ? Choose the correct choice:
A) 3x+2
B) 6x+2
C) 11x+6
D) 8x-3
E) 5x+4

Solution: x^2 = 3x+2   x^3 = x*x^2 = x*(3x+2) = 3x^2 + 2x = 3(3x+2)+2x = 11x+6   The answer is 11x+6.
Answer: C
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?	Choose the correct answer: A) 35.55 km/hr B) 36 km/hr C) 71.11 km/hr D) 71 km/hr E) 72 km/hr

Solution: Total time taken = [160/64 + 160/80 ] hrs. 9/2 hrs   Average speed = [ 320 x 2/9] km/hr = 71.11km/hr   Answer is 71.11 km/hr
Answer: C
The product of n consecutive positive integers is always divisible by	Choose the correct choice from the following choices.
A) n^2 -1  B) (n+1)!  C) 2n +1  D) n^2 + 1  E) n!

Solution: Product of first 2 number is 2*1   Product of first 3 number is 3*2*1   Product of first 4 number is 4*3*2*1   Product of first 5 number is 5*4*3*2*1   So, The product of first n natural numbers is always divisible by n! , answer will be (n!)
Answer: E
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?	Choose the correct option:
A) 7500 B) 8500 C) 9000 D) 8000 E) 8500

Solution: 7500 : B : C =20000×24:15000×24:20000×18   =20×4:15×4:20×3   =4×4:3×4:4×3   =4:3:3   B's share = 25000×3/10=7500 7500nswer: Option 7500
Answer: A
A bag contains ten white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color? Choose the correct choice from the following answers.
A) 5/81 B) 40/91 C) 40/61 D) 40/31 E) 5/1

Solution: Two balls can be picked from fourteen balls in 14Câ‚‚ ways.   We select one white ball and one red ball from five white balls and four red balls. This can be done âµ ways.   The required probability = (10 * 4)= 
(10 * 4) = 40
40/91   Answer: 40/91
Answer: B
A rectangular-shaped carpet that measures x feet by y feet is priced at $42. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet) Options.
A) 378/(xy)
B) 11xy/3
C) 3xy/11
D) 297/(xy)
E) 297xy

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 42 / (xy/9) = 378/(xy).   The answer is 378/(xy).
Answer: A
A tank is filled by 3 pipes A,B,C in 10 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?	Pick.
A) 20hr  B) 52hr  C) 70hr  D) 66hr  E) 48hr

Solution: Suppose pipe A alone take x hours to fill the tank   Then pipe B and C will take x/2 and x/4 hours respectively to fill the tank.   1/x + 2/x + 4/x = 1/10   7/x = 1/10   x = 70 hours   Answer is 70hr
Answer: C
A boat goes 100 km downstream in 10 hours, and 90 m upstream in 15 hours. The speed of the stream is?
Choose the correct answer
A) 22 1/7  B) 2  C) 22 1/2  D) 22 1/1  E) 22 1/3

Solution: 100 --- 10 DS = 10   ? ---- 1   90 ---- 15 US = 6   ? ----- 1 S = (10 - 6)/2= 
(10 - 6)/2 = 2
2 kmp Answer: 2
Answer: B
How many different positive integers can be formed using each digit in the set {0,1,3,3,3,7,8} exactly once?(Naturally, the number can't begin with 0)
.  Pick.
A) 160	B) 720	C) 1440	D) 4320	E) 5040

Solution: Since the first number can't be 0, then there are only 6 possible numbers than there could be. Then the following 6 number are a regular permutation, with 3 of the elements being the same   Number of integers will be 6*6!/3!= 720   ANS:720
Answer: B
The positive number z is divisible by 4. What is the remainder of dividing z(2+4+z)+3 by 2?
Select:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: When we solve any of these equations: 28+3 (z=4) or 56+3 (z=8) we end up with numbers to which we have to subtract 1 to end up with a number that is exactly divisible by 2. This is why we know that every result we get is going to have 1 as a remainder. Hence answer is 1.
Answer: B
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction W of the cookies that were placed in the other tins were placed in the green tin? Pick one:
A) 15/2
B) 9/4
C) 5/9
D) 7/5
E) 9/7

Solution: Blue tin or red tin: 2/3 (N)   Red tin: (1/3)N   Blue tin: (1/4)N   What the last statment meant, is it wants this fraction: (# of cookies in green tin)/(# of cookies in red and green tin)   # of cookies in green tin = 2N/3 - N/4 = 8N- 3N/12 = 5N/12   # of cookies in red and green tin = N/3 + 5N/12 = 9N/12   Fraction W= 5N/12 * 12/9N = 5/9 (5/9)
Answer: C