MU-NLPC/Calc-aqua_rat huggingface dataset:
A man swims downstream 40 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water? Choices
A) 7	B) 7.5	C) 6.8	D) 7.8	E) 8.0

Solution: 40 --- 4 DS = 10   ? ---- 1   20 ---- 4 US = 5   ? ---- 1 M = ?   M = (10 + 5)/2= 
(10 + 5)/2 = 15/2 = around 7.5
7.5   Answer: 7.5
Answer: B
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 3 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?  Pick: A) 4.0 B) 3.8 C) 7.2 D) 7.5 E) 8.0

Solution: Pick a number which is LCM of 3 and 6 = 12.   Upstream time = 12/6= 
12/6 = 2
2 hrs   Downstream time= 12/3= 
12/3 = 4
4 hrs   Total time= 6 hrs   Total distance = 24   4.0verage Speed = 24/6= 
24/6 = 4
4.0 km/hr
Answer: A
How much 60% of 50 is greater than 40% of 30?  Choose the correct choice from the following.
A) 18
B) 45
C) 74
D) 96
E) 32

Solution: Explanation:   (60/100) * 50 – (40/100) * 30   30 - 12= 
30 - 12 = 18
18   18
Answer: A
A train 440 meters long is running with a speed of 60 kmph. The time taken by it to cross a tunnel 180 meters long is?	Choose the correct choice from the following answers: A) 40.33 sec B) 41.33 sec C) 37.2 sec D) 40 sec E) 44.33 sec

Solution: D = 440 + 180= 
440 + 180 = 620
620   S= 60 * 5/18 = 16.66667 mps   T = 620/16.66667 = 37.2 sec   ANSWER:37.2 sec
Answer: C
A worker can load one truck in 6 hours. A second worker can load the same truck in 4 hours. If both workers load one truck simultaneously while maintaining their constant rates, how long, in hours, will it take them to fill one truck?
Choose the correct choice from the following choices:
A) 2.1
B) 2.4
C) 2.7
D) 3.0
E) 3.3

Solution: The workers fill the truck at a rate of 1/6 + 1/4 = 10/24 = 5/12 of the truck per hour.   Then the time to fill one truck is 12/5 which is 2.4 hours.   The answer is 2.4.
Answer: B
On a certain number line, conditions are a<b<c<d<0 and abcd>0. Which of the following must be true?
I ab>0 II cd>0 III de>0
Choose the correct answer:
A) I &II only	B) II only	C) III only	D) I only	E) II and III only

Solution: Givena<b<c<d abcd="" and="">0.   Suppose, for the product to be greater than 0, we can two variables as -ve or four variables can be -ve.   We are given : I ab>0 II cd>0 III de>0   case 1: a and b can be negative/positive and if they are... we get greater than 0.   case 2: we have cd , then c and d both can be negative/positive and if they are... we get greater than 0.   ab > 0 , cd > 0   So cases 1 and 2 are fine.   I &II only</b<c<d>
Answer: A
If a and b are different values and a – b = 4(√a - √b), then in terms of b, a equals:	Choose the correct choice from the following options:	A) √b	B) b	C) b - 8√b + 16	D) b + 2√b + 1	E) b^2 – 2b√b + b

Solution: (√a)^2 - (√b)^2 = 4(√a - √b) -----> ( √a + √b) ( √a - √b) = 4(√a - √b) -------> √a + √b = 4, so   √a = 4 - √b, square both sides and solve. Answer is b - 8√b + 16.
Answer: C
How many times digit 5 is used while writing numbers from 1 to 500? Options
A) 103 B) 98 C) 94 D) 105 E) 100

Solution: in 1 to 100 there are 20   in 100 to 200 there are 20   in 200 to 300 there are 20   in 300 to 400 there are 20   in 400 to 500 there are 20   so total is 100   CORR100CT OPTION :100
Answer: E
Peter got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Peter’s sister was 10 years younger to him at the time of his marriage. The age of Peer’s sister is:	Choose the most appropriate option:
A) 32 B) 36 C) 38 D) 39 E) 40

Solution: Sol.   Let Peter’s present age be x years. Then, his age at the time of marriage = (x - 8) years.   ∴ x = 6/5 (x - 8) ⇔ 5x = 6x - 48 ⇔ x = 48.   Peter’s sister’s age at the time of his marriage = (x - 8) - 10   = (x - 18) = 30 years.   ∴ Peter’s sister’s present age = (30 + 8)= 
(30 + 8) = 38
38 years.   Answer 38
Answer: C
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?	Choose the correct choice from the following answers
A) 7/17  B) 14/31  C) 7/15  D) 17/35  E) 1/2

Solution: The easiest way for me is to plug in numbers.   Let the number of basic stereos produced be 40, and number of delux stereos produced be 20. Total of 60 stereos.   If it takes an hour to produce a basic stereo then it will take 1.6 hours to produce a deluxe stereo.   40 basic stereos = 40 hours.   20 delux stereos = 32 hours.   Total hours = 72   Then the fraction would be 32/72 =4/9. Therefore answer   1/2
Answer: E
If x is an integer and 2.134 × 10^x is less than 240,000, what is the greatest possible value for x?
Choose one.
A) 7 B) 6 C) 5 D) 4 E) 3

Solution: x is an integer and 2.134 × 10x is less than 240,000, what is the greatest possible value for x?   for 2.134 × 10x is less than 240,000 to remain true, the greatest number is 213,400, which makes x=5   C. 5
Answer: C
The population of a bacteria culture doubles every 4 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria Options:  A) 10  B) 12  C) 14  D) 36  E) 18

Solution: This one's easy.   1000 * 2^t = 500,000   2^t = 500   Now gauging, since 2^8 = 256, then 2^9 = 512   So t = 9   But be careful, 't' is in time intervals of 4 minutes   So answer is 9*4= 
9*4 = 36
36 minutes   Answer (36)
Answer: D
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage? Select
A) 33
B) 50
C) 99
D) 88
E) 66

Solution: L.C.M of 15 and 12 = 60   CP of 60 articles = Rs. 100 (25 * 4)   SP of 60 articles = Rs. 150 (30 * 5)   Profit percentage = (150 - 100)/100 * 100= 
(150 - 100)/100 * 100 = 50
50%   Answer: 50
Answer: B
Find the no.of ways of arranging the boy and 10 guests at a circular table so that the boy always sits in a particular seat? Choose the correct choice from the following options: A) 10! B) 9! C) 8! D) 6! E) 7!

Solution: Ans.(A)   Sol. Total number of persons = 10 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 10P10 = 10! Ways ... The number of required arrangements = 10! x 1=10! = 10! ways
Answer: A
Jill, who lives in City C, plans to visit 6 different cities, M,N,O,P, L, and S. She plans to visit each city exactly once and return to City C after the 6 visits. She can visit the cities in any order. In how many different orders can she visit the 6 cities?	Choose the correct answer
A) 3
B) 720
C) 800
D) 900
E) 12

Solution: 6! = 720=720
Answer: B
What number has a 4:1 ratio to the number 100?
Pick one.
A) 40
B) 200
C) 400
D) 800
E) 4000

Solution: 4:1 = x: 100   x = 4*100= 
4*100 = 400
400   ANSWER:400
Answer: C
If cement, gravel and sand are to be mixed in 7:10:13 and 6 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.  Choose the correct choice from the following answers
A) 25 5/7
B) 36
C) 34 2/7
D) 34 5/7
E) 34 6/7

Solution: Cement:Gravel:Sand = 7:10:13 --> total of   7+10+13= 
  7+10+13 = 30
30 parts.   If we use 6 tons of cement, then we'll get 6/7*30= 25 5/7 tons of mixture.   25 5/7nswer: 25 5/7.
Answer: A
If a truck is traveling at a constant rate of 108 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)  Choose the most appropriate option
A) 20  B) 24  C) 30  D) 36  E) 48

Solution: Speed = 108 Km/hr =>108,000 m/hr   In one minute => 108000/60= 
108000/60 = 1_800
1800 meters   In one sec=> 1800/60= 
1800/60 = 30
30 meters   Time= Total distance need to be covered / Avg. speed   => 600/ 30= 
600/ 30 = 20
20 and hence the 20nswer : 20
Answer: A
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choose the most appropriate option.
A) 6434
B) 4673
C) 7684
D) 7658
E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
The probability of pulling a black ball out of a glass jar is 1/V. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?  Select.
A) 1/(XY) B) V/Y C) Y/X D) 1/(X+Y) E) 1/(X-Y)

Solution: P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y   P of pulling a black ball out of a glass jar is 1/V   Lets say P of breaking the jar = n   That means 1/V*n=1/Y   n= V/Y   V/Y is the answer
Answer: B
The two lines y = x and x = -7 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
Pick one.
A) 16	B) 8√2	C) 8	D) 7/√2	E) (√2)/3

Solution: 800score Official Solution:   The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-7, -7) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(7 × 7) = 49/2; so z = 49/2.   The next step requires us to find the length of a side of a cube that has a face area equal to 49/2. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 49/2. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 49/2. Clearly s = √49/2 = 7/√2 , oranswer choice (7/√2).
Answer: D
How many integers between 100 and 200, inclusive, cannot be evenly divided by 3 nor 5? Pick one: A) 46 B) 48 C) 50 D) 52 E) 54

Solution: The total numbers between 100 and 200, inclusive, is 101.   3*34= 
3*34 = 102
102 and   3*66= 
  3*66 = 198
198 so the number of multiples of 3 is 33.   5*20= 
5*20 = 100
100 and   5*40= 
  5*40 = 200
200 so the number of multiples of 5 is 21.   However, the multiples of 15 have been counted twice.   15*7= 
15*7 = 105
105 and   15*13= 
  15*13 = 195
195 so the number of multiples of 15 is 7.   Thus the total number is  101-33-21+7= 
 101-33-21+7 = 54
54.   The answer is 54.
Answer: E
At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 63 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages? Options
A) 7	B) 9	C) 12	D) 15	E) 18

Solution: 150=63+90+65-32-2x   x=18   E. 18
Answer: E
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?	Choices
A) 4.58 kms  B) 6.35 kms  C) 5.76 kms  D) 5.24 kms  E) 5 kms

Solution: Explanation:   Speed in still water = 6 kmph   Stream speed = 1.2 kmph   Down stream = 7.2 kmph   Up Stream = 4.8 kmph   x/7.2 + x/4.8 = 1   x = 2.88   Total Distance = 2.88 x 2 = 5.76 kms   ANSWER IS 5.76 kms
Answer: C
Find the simple interest on Rs.945 for 5 months at 4 paisa per month?	Choose the correct choice from the following answers.
A) s.325
B) s.500
C) s.200
D) s.189
E) s.211

Solution: Explanation:   I = (945*5*4)/100= 
(945*5*4)/100 = 189
189   Answer: Option s.189
Answer: D
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 27 km/hr in the same direction. In how much time will the train pass the jogger?  Choose the correct choice from the following choices:	A) 76 sec	B) 72 sec	C) 98 sec	D) 36 sec	E) 23 sec

Solution: Speed of train relative to jogger = 27 - 9= 
27 - 9 = 18
18 km/hr.= 18 * 5/18= 
18 * 5/18 = 5
5 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/5= 
360/5 = 72
72 sec.   Answer:72 sec
Answer: B
Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the third wins a bronze medal. How many different arrangements of medal winners, in order from first to third, are possible? Options
A) 5  B) 10  C) 60  D) 120  E) 125

Solution: Assuming no ties in the race :   The Gold Medal can be given in 5 ways   The Silver Medal can be given in 4 ways   The Bronze Medal can be given in 3 ways   So total number of ways = 5 * 4 * 3= 
5 * 4 * 3 = 60
60   Answer - 60
Answer: C
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?  Choose the correct choice from the following options.
A) 6 years B) 9 years C) 9 years D) 4 years E) 3 years

Solution: 28 * 2= 
28 * 2 = 56
56   20 * 3= 
20 * 3 = 60
60   -----------   4 years   Answer: 4 years
Answer: D
In how many ways the word "KIT" can be arranged? Options:  A) 6  B) 8  C) 18  D) 21  E) 24

Solution: Explanation :   The required number of ways = 3!   = 6   6nswer : 6
Answer: A
A letter lock consists of three rings each marked with seven different letters. The number of distinct unsuccessful attempts to open the lock is at the most?	Choose the correct choice from the following.
A) 342
B) 269
C) 215
D) 177
E) 123

Solution: Since each ring consists of seven different letters, the total number of attempts possible with the three rings is   = 7*7*7= 
7*7*7 = 343
343. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 342- 1   = 342   342nswer:342
Answer: A
interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes: Choose one:
A) 10% B) 10.25% C) 10.6% D) 10.75% E) 11%

Solution: Let the sum be Rs. 100. Then,   S.I. for first 6 months= Rs. (100x10x1) / ( 100x2 ) –Rs. 5   S.I. for last 6 months =Rs. (105x10x1)/(100x2) =Rs.5.25   So amount at the end of 1 year =Rs.(100+5+5.25) = Rs. 110.25   Effective = (110.25-100)= 
(110.25-100) = 10.25
10.25%   answer :10.25%
Answer: B
What is the remainder when 1031*1047*1050*1053 is divided by 33?  Choose the most appropriate option:  A) 3  B) 24  C) 30  D) 21  E) 18

Solution: take the remainder from each of 1031/33, 1047/33 and so on..   1031/33 gives remainder = 8   1047/33 gives remainder = 24   1050/33 gives remainder = 27   1053/33 gives remainder = 30   the net remainder is the product of above individual remainders. i.e =8*24*27*30   break them into pairs 8*24/33 gives remainder 27   and 27*30/33 gives remainder 18   so 27*18/33 gives remainder 24.   24
Answer: B
If k is an integer and 0.0010101 x 10^k is greater than 10, what is the least possible value of k?	Answers:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 0.0010101 * 10^k > 10   We need to move the decimal point to the right 4 places to get 10.101   This is equivalent to multiplying by 10^4.   The answer is 4.
Answer: C
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 10 cms? Choose the correct option
A) 187 B) 476 C) 268 D) 2975 E) 276

Solution: Area of the room =3.5 * 8.5= 
3.5 * 8.5 = 29.75
29.75   Area of the tile= 0.1 *0.1= 
0.1 *0.1 = 0.01
0.01   No. of tiles= 29.75/0.01= 
29.75/0.01 = 2_975
2975   Answer : 2975
Answer: D
In the interior of a forest, a certain number of apes equal to the square of one-fifthhth of the total number are playing and having great fun. The remaining four apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes? Choose the correct choice from the following choices
A) 48	B) 16	C) 5 or 20	D) 80	E) 16 or 48

Solution: Let total number be x   No in the interior = (x/5)^2   No outside = 4   So : x - (x/5)^2=4   x^2-25x+100=0   (x-20)(x-5)=0   So either x=5 or x=20   5 or 20
Answer: C
If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c Choose one.
A) 12 : 15 : 9	B) 10 : 15 : 21	C) 14 : 12 : 21	D) 2 : 15 : 7	E) 3 : 16 : 9

Solution: EXPLANATION:   a : b : c = (2 x 5) : ( 3 x 5) : (3 x 7) = (10) : (15) : (21)   ANSWER IS 10 : 15 : 21
Answer: B
Alex is shuffling a pack of cards (54 cards in total) and after some time, he takes out a joker card.
Now, he splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?
Choose the correct choice from the following
A) 5/6227020800	B) 4/6227020800	C) 3/6227020800	D) 1/6227020800	E) 2/6227020800

Solution: Solution:   1/6227020800   This can be solved through a simple mathematical equation.   N cards have n! permutations.   Therefore, the probability of obtaining a specific one by chance is 1/n!   Now, in this particular case, n = 13   Therefore, the required probability is 1/6227020800   Answer 1/6227020800
Answer: D
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
Select.
A) 100p/(125-p)
B) 150p/(250-p)
C) 300p(375-p)
D) 400p(500-p)
E) 500p/(625-p)

Solution: This problem can be easily solved by picking numbers. The explanation given in the OG can be very laborious.   Lets say the number of newspaper A sold = 20, so revenue from A = 20 and the number of newspaper sold from B = 80, so revenue from B = 100. Now total revenue =120 out of which 20 came from A. So   r = 20/120 = 1/6 = 16.7% and p = 20   A) 100*20/(125-20) -> Incorrect   B) 150*20/(250-20) -> Incorrect   C) 300*20/(375-20) -> Incorrect   400p(500-p)) 400*20/(500-20) = 8/48 = 1/6*100 = 16.7% - > Correct   E) 500*20/(625-20) -> Incorrect   So Ans 400p(500-p)
Answer: D
A is thrice as good work than as B. Together they can finish a work in 6 days.In how many days A alone do the work? Choose the correct option: A) 6 days B) 10 days C) 13 days D) 2 days E) 5 days

Solution: Explanation:   Ratio of their work = 1:3   1x+3x=6   4x=6   X=24   24/4= 
24/4 = 6
6   6:18   6 daysnswer: Option 6 days
Answer: A
A bowl was filled with 10 ounces of water, and 0.008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?  Choose the correct choice from the following answers.
A) 0.004%  B) 0.04%  C) 0.40%  D) 4%  E) 40%

Solution: Total amount of water evaporated each day during a 50-day period = .008 * 50   =.008 * 100/2   = .8/2= 
.8/2 = 0.4
.4   percent of the original amount of water evaporated during this period= (.4/10) * 100= 
(.4/10) * 100 = 4
4 %   Answer 4%
Answer: D
The sale price sarees listed for Rs.450 after successive discount is 20% and 15% is? Choose the correct choice.
A) 321 B) 276 C) 306 D) 265 E) 162

Solution: Explanation:   450*(80/100)*(85/100)= 
450*(80/100)*(85/100) = 306
306   Answer: 306
Answer: C
Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 20 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?	Select
A) 20
B) 22
C) 24
D) 26
E) 28

Solution: C = A + B   D = 3C = 3(A+B) = 4B   Then B = 3A and C = 4A   The combined rate of the four machines is A + 3A + 4A + 12A = 20A   Machine A can complete the work in 440 minutes, so its rate is 1/440 of the work per minute.   The combined rate is 20/440 = 1/22 so the work will be completed in 22 minutes.   The answer is 22.
Answer: B
Susan rolls 4 six-sided dice at once to win a bet with her neighbour Jeff. If all 4 dice return the same number after only one roll, Susan wins her bet. What is the probability that Susan LOSES the bet?  Choose the most appropriate option.
A) Less than 50%
B) Between 50% and 70%
C) Between 70% and 90%
D) Between 90% and 99%
E) Greater than 99%

Solution: The acceptable rolls are all of the Quad-tuples: 1111, 2222, 3333, 4444, 5555, 6666. Thus there are six possibilities. The four dice can roll 6*6*6*6 (6^4) number of ways. The probability that Susan wins the bet is: 6/6^4 = 1/6^3 = 0.0046 = 0.46%.   Therefore probability that Susan loses is 1 - probability of Susan winning:   1 - 0.46% = 99.5% > 99%   Answer: Greater than 99%.
Answer: E
First column specifies the No of Days prior to departure information. Second column specifies the Percentage discount offered.
0 - 6 days ==> 0%
7 - 13 days ==> 10%
14 - 29 days ==> 25%
30 days or more ==> 40%
The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for $ 1050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days before her departure did she purchase her ticket. Choose the correct option:
A) 6	B) 7	C) 13	D) 14	E) 29

Solution: First I figured out the percentage change from the immediate previous amount for each of the period.Thus it comes-   0 - 6 days ==> 0%   7 - 13 days ==> 10% (90% of the price)   14 - 29 days ==> 17% (approx) (went from 90% to 75%)   30 days or more ==> 20% (went from 75% to 60%)   If the passenger had to pay the extra amount, she had to pay=(210+1050)= 
(210+1050) = 1_260
1260   now 210 is somehow between 10% and 20% of 1260. So 17% is the choice here.   correct ans: 14 days   ANSWER:14
Answer: D
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Choose the correct choice from the following choices.
A) 227
B) 267
C) 128
D) 860
E) 179

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer: 860
Answer: D
The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $20 more, the corresponding ratio would have been 5:3. How much was the oil bill for January?
Choices:	A) $100	B) $120	C) $140	D) $160	E) $180

Solution: 3:2 = 9:6 and 5:3 = 10:6.   An increase in $20 increases the ratio by 1:6.   Therefore, January's bill was 6($20) = $120.   The answer is $120.
Answer: B
A rectangular tank can hold k litres of water.How many litres of water can tank hold if all dimensions doubles.	Pick
A) 8k liters	B) 7k litrs	C) 9k litrs	D) 5k litrs	E) 6k litrs

Solution: let dimensions of tank are x*y*z=xyz   so xyz can hold k litres of water   now dimensions are doubled i.e 2x*2y*2z=8xyz   as xyz holds k litres,so 8xyz will hold 8*k=8k litres of water   ans 8k litrs   8k litersNSWER:8k liters
Answer: A
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $4680. What is the average monthly balance maintained by John in his
account during the year?  Pick.
A) 2840  B) 5680  C) 23400  D) 7540  E) 28400

Solution: bank balance is doubled with accumulation of interest tp 4680..   this means INTEREST is   4680/2= 
  4680/2 = 2_340
2340 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 23400..   23400
Answer: C