MU-NLPC/Calc-aqua_rat huggingface dataset:
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number? Choose the most appropriate option:
A) 3  B) 4  C) 9  D) Cannot be determined  E) None of these

Solution: Let the ten's digit be x and unit's digit be y.   Then, (10x + y) - (10y + x) = 36   9(x - y) = 36   x - y = 4.   Answer:4
Answer: B
A number exceeds by 30 from its 3/8 part. Then the number is?  Choices.
A) A)32
B) B)35
C) C)39
D) D)40
E) E)48

Solution: x – 3/8 x = 30   x = 48   ANSW48R:48
Answer: E
How many of the positive factors of 15 , 45 and how many common factors are there in numbers?	Answers
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: factors of 15 - 1, 3, 5, and 15   factors of 45 - 1, 3, 9, 15 and 45   3omparing both, we have three common factors of 45,16-3   Answer 3
Answer: C
What number has a 5:1 ratio to the number 10?  Choose one
A) 22	B) 50	C) 99	D) 72	E) 12

Solution: 5:1 = x: 10   x = 50   Answer: 50
Answer: B
The tax on a commodity is diminished by 27% and its consumption increased by 16%. The effect on revenue is? Select.
A) 18  B) 16  C) 5  D) 15  E) 4

Solution: 100 * 100= 
100 * 100 = 10_000
10000   73 * 116= 
73 * 116 = 8_468
8468   -----------   10000-----------1532   100-----------?=> 15% decrease   Answer:15
Answer: D
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7600 less if they could find two more equal investors. How much is the total investment in the new business.	Select the correct option.
A) a)	$ 64,000
B) b)	$ 54,000
C) c)	$ 21,000
D) d)	$ 5,400
E) e)	$57,000

Solution: Initially each invest in x. Hence total investment is 3x.   Total investment is also 5(x-7600).   3x = 5(x-7600)   x= 5*7600/2= 
5*7600/2 = 19_000
19000   3x= 57000 and the answer is e)	$57,000.
Answer: E
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons	Choose the correct option:
A) A)160	B) B)170	C) C)210	D) D)190	E) E)230

Solution: 7p3 = 7 × 6 × 5 = 210   Option '210'
Answer: C
The Chennai Express of 200 m runs at a speed of 62 km/hr and a person runs on the platform at a speed of 20 km/hr in the direction opposite to that of train. Find the time taken by the train to cross the running person?
Options: A) 8.77 sec B) 9.77 sec C) 12.77 sec D) 13.00 sec E) None of these

Solution: EXPLANATION:   Given: Length of train = 200 m, speed of train = 62 km/hr, speed of person = 20 km/hr   1) Convert km/hr into m/s   - 62 km/hr = 62 x	5/18= 17.22 m/s   - 20 km/hr = 20 x	5/18=5.55 m/s   As the train and the running person move in opposite directions, their speed values are added to find the relative speed.   Relative speed (Speed of train relative to man) = 17.22 + 5.55= 
17.22 + 5.55 = 22.77
22.77 m/s   We know,   Speed=	Distance/Time   Therefore, time taken by the train to cross the running person = Time taken by the train to cover 200 m at a relative of 22.77 m/s   =	200/22.78   = 8.77 sec   8.77 secNSWER IS 8.77 sec
Answer: A
In a 1500 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ? Choose one:
A) 100 sec.  B) 50 sec  C) 75 sec  D) Data not sufficient  E) None of these

Solution: Speed of Shiny = 50/ 10= 
50/ 10 = 5
5m/s   Time taken by shiny to complete the race is B= 1500/5= 
1500/5 = 300
300 sec.   Time taken by Baley to complete the race is D= 1500/4 = 275 sec.   Hence, D-B = 75 sec   ANSWER:75 sec
Answer: C
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by? Answers
A) 7/98	B) 1/48	C) 1/98	D) 1/96	E) 1/68

Solution: 2/7 * 6/7 * 1/3 * 1/8 = 1/98   ANSWER:1/98
Answer: C
The G.C.D. of 1.08, 0.36 and 0.63 is?	Pick:
A) 0.03  B) 0.09  C) 0.18  D) 0.108  E) none of these

Solution: Given numbers are 1.08,0.36 and 0.63.   H.C.F of 108, 36 and 63 is 9   H.C.F of given numbers=0.09.   Correct Options:0.09
Answer: B
Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $15,000 and the marginal cost is $200, and the total cost is $25,000, what is the value of n? Pick one:
A) 30  B) 50  C) 60  D) 80  E) 100

Solution: Total cost for n products = fixed cost for n products + n*marginal cost --> $25,000 = $15,000 + n * $200 --> n = 50.   Answer: 50.
Answer: B
A person travelled from his house to office at 20km/hr and office to house at 80km/hr. Then find the average speed?  Choose the correct choice from the following options
A) 32km/hr	B) 40km/hr	C) 48km/hr	D) 50km/hr	E) 62km/hr

Solution: 32km/hrverage speed = (2*20*80)/(20+80)= 
(2*20*80)/(20+80) = 32
32km/hr32km/hrnswer is 32km/hr
Answer: A
The total number of plums that grew during each year on a certain plum tree was equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded to the nearest lower integer.) During its 3rd year, this plum tree grew 50 plums. How many plums did it grow during its 6th year? Choose the correct choice.
A) a) 41	B) b) 38	C) c) 35	D) d) 29	E) e) 28

Solution: The answer shud be 38.   (50 - 3 - 4 - 5 =38)   Yes, if you go the 50 - 3 way, then it will be 38. If instead you go the 50 - 4 way (which they have suggested), the answer will be 35. As I said, there is ambiguity here.answer is c) 35
Answer: C
Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 4 hours, how many minutes did it take Cole to drive to work?	Choose the correct choice from the following answers
A) 66 B) 70 C) 95 D) 112 E) 140

Solution: First round distance travelled (say) = d   Speed = 75 k/h   Time taken, T2 = d/75 hr   Second round distance traveled = d (same distance)   Speed = 105 k/h   Time taken, T2 = d/105 hr   Total time taken = 4 hrs   Therefore , 4 = d/75 + d/105   LCM of 75 and 105 = 525   4= d/75 + d/105   => 4 = 7d/525 + 5d/525   => d = 525 / 3 Km   Therefore, T1= d/75   => T1 = 525 / (3 x 75)   => T1 = (7 x 60) / 3 -- in minutes   => T1 = 140 minutes.   140
Answer: E
Find the average of the series : 312, 162, 132, 142 and 122?	Choose the correct choice from the following choices
A) 129	B) 308	C) 267	D) 207	E) 174

Solution: Average = (312 + 162 + 132 + 142 + 122)/5   = 870/5= 
870/5 = 174
174   Answer: 174
Answer: E
How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/6!?  Select the correct option
A) 2  B) 3  C) 5  D) 6  E) 9

Solution: 7! = 720   1/1000 < 1/720< 1/100   0.001 < 1/720 < 0.01   So 1/720 has 2 leading zeros   2nswer: 2
Answer: A
If a triangle in the xy-coordinate system has vertices at (-2 , -3), (4, -3) and (28, 7), what is the area of the triangle?
Choose the correct choice from the following options.
A) 30 B) 36 C) 48 D) 60 E) 65

Solution: (-2,-3) is in 3rd quadrant, (4,-3) is in 4th quadrant while (28,7) is in 1st quadrant.   Also, y coordinate of (-2,-3) and (4,-3) is same so they lie on same horizontal line.   So base of triangle = sqrt[(-3+3)^2 + (4+2)^2] = 6   30nd height of triangle = 7 - (-3)= 
7 - (-3) = 10
10   So area of triangle= 1/2*6*10= 
1/2*6*10 = 30
30   Hence option (30),
Answer: A
8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 14th and the 20th terms?  Choose the correct choice from the following
A) 324	B) 335	C) 346	D) 357	E) 368

Solution: The first term is 8 = 11 – 3. The second term is 19 = 22 – 3, the third term is 30 = 3 × 11 – 3, the fourth term is 41 = 4 × 11 – 3, etc.   Thus, 11n – 3 describes the values in the sequence where n is the number of the term.   The 14th term is 14 × 11 – 3 = 151.   The 20th term is 20 × 11 – 3 = 220 – 3 = 217.   The sum of these two values is 368.   The correct answer is choice (368).
Answer: E
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1500. He sold both the items together for Rs. 31150. What percentage of profit did he make?  Select:	A) 78%	B) 35%	C) 40%	D) 76%	E) None of these

Solution: The total CP = Rs. 16000 + Rs. 1500= Rs. 17500 and SP = Rs. 31150   Profit(%) = (31150 - 17500)/17500* 100= 
(31150 - 17500)/17500* 100 = 78
78%   78%NSWER:78%
Answer: A
A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 4?	Choose the correct choice from the following options
A) 2 / 3 B) 1 / 6 C) 3 / 3 D) 4 / 5 E) 2 / 4

Solution: Only 5 so, 1 / 6   correct answer 1 / 6
Answer: B
Midway through his round a golfer hits a magnificent 210 yard drive, which brings his average length per drive for the round up to now from 156 to 162 yards. How far would he have had to hit the drive to bring his average length of drive up from 156 to 165 yards?	Pick
A) 243 yards B) 239 yards C) 189 yards D) 245 yards E) 237 yards

Solution: 237 yards   237 yards   237 yardsight holes average 156 = 1, 248 yards,   Nine holes average 162 = 1, 458 yards (+ 210),   Nine holes average 165 = 1, 485 yards (+ 237).
Answer: E
A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choose the correct choice from the following:  A) 30 Kmph  B) 60 Kmph  C) 65 Kmph  D) 70 Kmph  E) None

Solution: Time = 6   Distence = 270   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 270/9= 
270/9 = 30
30 Kmph   30 Kmph)
Answer: A
108.	Triangle A’s base is 8% greater than the base of triangle B, and A’s height is 8% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?	Options:
A) 9 % less  B) 1 % less  C) Equal to each other  D) 1.6 % more  E) 9 % more

Solution: Wish the question specified that we are talking about corresponding height.   Base of A = 9/8 * Base of B   Height of A = 7/8 * Height of B   Area of A = (1/2) * Base of A * Height of A = 9/8 * 7/8 * Area of B = 63/64 * Area of B   Area of A is 1.6% more than the area of B.   Answer (1.6 % more)
Answer: D
A boy wants to go abroad by boat and return by flight. He has a choice of 2 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey? Choose the correct answer:
A) 20
B) 16
C) 45
D) 18
E) 70

Solution: Ans.(B)   Sol. Number of choices to go by ship = 2 Number of choices to return by airline = 8 From, fundamental principle, total number of ways of performing the journey = 2 x 8 = 16 ways
Answer: B
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?	Choose the correct answer
A) 40.00 a.m.	B) 10.00 a.m.	C) 12.00 a.m.	D) 18.00 a.m.	E) 19.00 a.m.

Solution: Explanation:   D = 110 – 20 = 90   RS = 20 + 25= 
20 + 25 = 45
45   T= 90/45= 
90/45 = 2
2 hours   8 a.m. + 2= 10 a.m.   Answer: Option 10.00 a.m.
Answer: B
P and Q invested in a business. The profit earned was divided in the ratio 3 : 4. If P invested Rs 50000, the amount invested by Q is	Select the correct option:
A) 30000	B) 66666	C) 40000	D) 20000	E) 60000

Solution: Let the amount invested by Q = q   50000:q=3:4   ⇒50000×4=3q   ⇒q=(50000×4)/3=66666   Answer is 66666.
Answer: B
Joe bought a lawnmower for a 40% off the original price. If the lawnmower cost him $132.48, what is the original selling price of the lawnmower?
Choose the correct choice from the following.
A) $185.47  B) $331.20  C) $211.97  D) $220.80  E) None of these.

Solution: Explanation:CP of Joe is 40% of the Original SP.:. Original SP = $132.48x100/60 = $220.80.Answer: Option $220.80.
Answer: D
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct choice:
A) 10 kmph B) 17 kmph C) 19 kmph D) 17 kmph E) 29 kmph

Solution: Speed of the boat in still water   = (60+80)/2= 
(60+80)/2 = 70
70 kmph. Speed of the stream= (80-60)/2= 
(80-60)/2 = 10
10 kmph.   10 kmphnswer: 10 kmph
Answer: A
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choose one.
A) 76 Kmph	B) 54 Kmph	C) 72 Kmph	D) 34 Kmph	E) 91 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/20= 
400/20 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   Answer: 72 Kmph
Answer: C
If 4 men working 10 hours a day earn Rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week?	Pick one:
A) Rs 840	B) Rs 1320	C) Rs 1620	D) Rs 1680	E) None of these

Solution: Explanation :   (Men 4:9) : (Hrs/Day 10:6) :: 1200 : x   hence 4 * 10 *x = 9 * 6 * 1200   or x = 9*6*1200/ 4*10 = 1620   Answer : Rs 1620
Answer: C
Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter she prepared an envelope with its correct address. If the 4 letters are to be put in 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address? Pick:
A) 1/24
B) 1/8
C) 1/4
D) 1/3
E) 3/8

Solution: Possible sequences are CIII, ICII, and so on...C=correct, I=incorrect   Total possible sequences are 4P1=4 ways.   Lets take the probability of having one particular sequence CIII.   P = 1/4*2/3*1/2*1 = 1/12.   So the probability of having any of the sequence is 4*1/12 =1/3   ANS:1/3
Answer: D
If x = 1- 4t and y = 2t - 2, then for what value of t does x = y?
Choose the correct choice from the following.
A) 5/2	B) 1/2	C) 2/3	D) 2/5	E) 0

Solution: We are given x = 1 – 4t and y = 2t – 2, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 4t for x and 2t – 2 for y in the equation x = y. This gives us:   1 – 4t = 2t – 2   3 = 6t   1/2 = t   The answer is 1/2.
Answer: B
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets Choose one:
A) 40%	B) 50%	C) 60%	D) 70%	E) 80%

Solution: 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%   50%
Answer: B
The cost price of 20 articles is equal to the selling price of 25 articles. The loss percent in the transaction is Choices:
A) 5 B) 20 C) 25 D) 30 E) None of these

Solution: Let C.P. of 1 article = 1   then C.P. of 25 articles = 25   and S.P. of 25 articles = 20   ∴ loss % = 25−20/20×100=25%   Answer 25
Answer: C
2664 ÷ 12 ÷ 6 = ?  Options:
A) 43
B) 41
C) 37
D) 33
E) 21

Solution: Explanation :   2664 ÷ 12 = 222   222 ÷ 6 = 37. Answer : Option 37
Answer: C
Point (g,h) is on the circle represented by g^2+h^2=10, and g, h are integers. How many such points are possible?	Select
A) 0
B) 2
C) 4
D) 6
E) 8

Solution: g^2+h^2=10 and g, h are integers means that 10 is the sum of two perfect squares.   10 is the sum of only one pair of perfect squares 1 and 9.   So, there can be 8 such points, 4 in each quadrant:   (1, 3);   (1, -3);   (-1, 3);   (-1, -3);   (3, 1);   (3, -1);   (-3, 1);   (-3, -1).   Answer: 8.
Answer: E
If Janice was 22 years old z years ago and Lisa will be 20 years old in p years, what was the average (arithmetic mean) of their ages 8 years ago? Choose the correct choice from the following answers: A) (z + p)/2 B) (z - p + 26)/4 C) (z - p + 16)/4 D) (z + p + 36)/2 E) (z - p + 26)/2

Solution: Today, J = z+22 and L = 20-p   8 years ago, J = z+14 and L = 12-p   The average of their ages was (z-p+26) / 2   The answer is (z - p + 26)/2.
Answer: E
How many integers are divisible by 2 between 10! and 10! + 20 inclusive?  Select the correct option.
A) 6 B) 7 C) 21 D) 9 E) 10

Solution: C = 21   10! is divisible by 2   There are 20 numbers between 10! and 10!+20 that are divisible by 1.   Hence 21
Answer: C
Y and F represent two distinct digits. If the number 45Y89F is divisible by 36, what is the value of (Y+F)?  Pick one:
A) a) 9 B) b) 3 C) c) 12 D) d) 6 E) e) 10

Solution: A no. divisible by 36 means it is div by 49 .   to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only   similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find Y could be either 1,4,7 only.   To be divisible by 9 only 1 works .(if we choose f=6 then Y have to be 6 but as per condition YF are distinct) So   Y=1   F=2   Ans:- 3.b) 3
Answer: B
If x and y are even integers, which of the following is an odd integer?	Choose one.
A) x+y	B) xy	C) xy+2	D) x^2+y^2	E) None of these

Solution: even+even = even   even * even = even   even+even =even   Answer : None of these
Answer: E
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?  Choose the most appropriate option.
A) 4500 M3	B) 27000 M3	C) 3000 M3	D) 2700 M3	E) 3700 M3

Solution: (3000 * 2 * 5)/60 = 4500 M3   4500 M3NSWER:4500 M3
Answer: A
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the 2nd?  Choose the correct choice:  A) 965  B) 1245  C) 1349  D) 1368  E) 1578

Solution: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.   First + second = third => we can eliminate 3 & 9 since  3 + 9= 
 3 + 9 = 12
12.   Last is 3 times the second=> we can eliminate option 2 & 6 since  3 * 6= 
 3 * 6 = 18
18.   Hence the number is 1349   1349
Answer: C
An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast?  Answers
A) 75%  B) 58%  C) 30%  D) 34%  E) 25%

Solution: Total Number of members = 1260   Number of members that cast votes = 525   Since , winning candidate received 72 percent of the votes cast   Number of votes for winning candidate = (72/100)*525= 
(72/100)*525 = 378
378   Percent of total membership that voted for winning candidate= (378/1260)*100= 
(378/1260)*100 = 30
30%   Answer 30%
Answer: C
A financier claims to be lending money at simple 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 Pick one
A) 10.25%  B) 10%  C) 9.25%  D) 9%  E) None of these

Solution: Explanation:   Let the sum is 100.   As financier includes interest every six months., then we will calculate SI for 6 months, then again for six months as below:   SI for first Six Months = (100*10*1)/(100*2) = Rs. 5   Important: now sum will become  100+5= 
 100+5 = 105
105   SI for last Six Months= (105*10*1)/(100*2) = Rs. 5.25   So amount at the end of year will be  (100+5+5.25)= 
 (100+5+5.25) = 110.25
110.25   Effective rate= 110.25 - 100= 
110.25 - 100 = 10.25
10.25   Option 10.25%
Answer: A
The cash realised on selling a 14% stock is Rs.104.25, brokerage being 1/4% is Choices
A) 123  B) 106  C) 100  D) 156  E) 104

Solution: Explanation:   Cash realised= Rs. (104.25 - 0.25)   = Rs. 104.   Answer: 104
Answer: E
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?  Options:
A) 22 kmph  B) 77 kmph  C) 14 kmph  D) 17 kmph  E) 18 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 42/3= 
42/3 = 14
14 kmph.   Answer:14 kmph
Answer: C
A and B started a business investing Rs. 36,000 and Rs. 12,000 respectively. In what ratio the profit earned after 3 years be divided between A and B respectively?	Choose the correct choice from the following:
A) 1:3
B) 1:2
C) 2:1
D) 3:1
E) None of these

Solution: A:B = 36000 : 12000 = 3:1.   ANSWER:3:1
Answer: D
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choose the correct choice from the following answers:	A) Tuesday	B) Monday	C) Sunday	D) Wednesday	E) SWW

Solution: Sunday   The year 2004 is a leap year and therefore, two days will be preceded from Tuesday   Answer:Sunday
Answer: C
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 14 Choose the correct option:
A) 1	B) 3	C) 4	D) 5	E) 2

Solution: case1   N=5,8,11,14,17,20   case 2   M=5,9,13,17,21   Therefore n=17   Remainder of 17/14 will be 3   3
Answer: B
If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. xy^2 is positive integer III. (y^2 - x) is positive integer
Choose one:
A) I,II only	B) I only	C) II only	D) III only	E) none of these

Solution: I. It is true if 3x < 2y   II. It is not true because given x is a negative integer - * + = -   III. It is true   Answer : III only
Answer: D
Simplify: 5005-5000+10	Choose the correct choice
A) 4505
B) 4509
C) 4501
D) 4508
E) None of them

Solution: 5005-5000+10   =5005-(5000/10)   =5005-500= 
5005-500 = 4_505
4505.   4505nswer is 4505
Answer: A
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?	Choices
A) 1  B) 3  C) 6  D) 8  E) 9

Solution: Work done by X in 1 day = 1/18   Work done by Y in 1 day = 1/15   Work done by Y in 10 days = 10/15 = 2/3   Remaining work = 1 – 2/3 = 1/3   Number of days in which X can finish the remaining work = (1/3) / (1/18)= 
(1/3) / (1/18) = 6
6   6
Answer: C
If $11,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choose the correct choice:
A) compounding annually
B) compounding daily
C) compounding monthly
D) compounding quarterly
E) All four of these would produce the same total

Solution: This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.   This process will be repeated every day till the amount matures   Answer = compounding daily
Answer: B
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 11/5 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?
Answers:
A) 11/21 B) 14/31 C) 7/15 D) 17/35 E) 1/2

Solution: # of basic stereos was 2/3 of total and # of deluxe stereos was 1/3 of total, let's assume total=15, then Basic=10 and Deluxe=5.   Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 11/5 units. Total time for Basic would be  10*1= 
 10*1 = 10
10 and total time for Deluxe would be 5*11/5= 
5*11/5 = 11
11 --> total time for both of them would be 10+11= 
10+11 = 21
21 --> deluxe/total=11/21.   11/21nswer: 11/21.
Answer: A
A batsman makes a score of 84 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?	Choose the most appropriate option
A) 19	B) 29	C) 36	D) 49	E) 59

Solution: let the average after 17th inning =x   Then average after 16th inning=(x-3)   Therefore 16(x-3)+84=17x   Therefore x=36   ANSWER:36
Answer: C
If Finn was 19 months old one year ago, how old was he, in months, x months ago?  Choose the correct choice:
A) x − 30  B) x − 12  C) 18 − x  D) 24 − x  E) 31 − x

Solution: Age Today = 19 months + 12 months (1year) = 31 months   X months ago- Today's Age - X = 31 - X   Ans- 31 − x
Answer: E