MU-NLPC/Calc-aqua_rat huggingface dataset:
Lloyd normally works 7.5 hours per day and earns $5.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?  Choose the correct choice from the following answers:  A) $33.75  B) $47.25  C) $51.75  D) $54.00  E) $66.00

Solution: Daily working hour*Regular Rate + Overtime*Increased Rate     7.5*5.5+ 3*5.5*1.5= 
  7.5*5.5+ 3*5.5*1.5 = 66
66.00   Answer $66.00
Answer: E
If the speed of X meters per second is equivalent to the speed of Y kilometers per minute, what is Y in terms of X? (1 kilometer=1000 meters)	Answers:	A) 0.06x	B) 6x/5	C) 18x/5	D) 60x	E) 3600000x

Solution: x=1000y/60   y = 0.06x   0.06xnswer : 0.06x
Answer: A
Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.  Choose the correct choice from the following choices:	A) 1	B) 5	C) 4	D) 8	E) 9

Solution: 4   Four   three placed flat on the table in a triangle(touching each other) and put the fourth one on top of them in the middle.
Answer: C
If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	L exactly passes through origin
III.	The slope of L is negative Pick.
A) III only B) II only C) I only D) I and II only E) II and III only

Solution: Let (m,n) = (2,3)   (-m,-n) = (-2,-3)   Slope = (3+3)/(2+2) = 6/4 = 3/2   So III may not be true   Let (m,n) = (2,-3) then (-m,-n) = (-2,3)   So slope = (3 +3)/(-2-2) = -3/2   so I may not be true   So such a line would be -> (y - 3) = 3/2(x - 2)     -  (  - 3)= 
  -  (  - 3) = 3
3/2(x - 2)=> 2y - 6 = 3x - 6   => 2y - 3x = 0, hence no x or y intercept, so it passes through origin.   II is true.   Answer - II only
Answer: B
85% of a number is added to 24, the result is the same number. Find the number?  Choose the correct option:
A) 28
B) 288
C) 279
D) 160
E) 232

Solution: (85/100) * X + 24 = X   3X = 480   X = 160   Answer:160
Answer: D
There are 5 boxes of different weights. They are weighed in pairs taken 2 at a time and the weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121. What is the sum of the weights of the 5 boxes ?  Choose the correct choice from the following answers
A) 250	B) 289	C) 290	D) 295	E) 305

Solution: Let the 5 boxes be a, b, c, d and e. The ten weights correspond to all the possible combinations of 2 weights out of 5.   On adding all the given weights, each boxes weight gets added 4 times:   a+b, a+c, a+d, a+e.   Similarly for b:   b+c, b+d, b+e and a+b (already included above)   Similarly for c, d and e.   Therefore, 110+112+113+114 .....+120+121 = 4* (a+b+c+d+e)   or, 4* (a+b+c+d+e) = 1156   or, (a+b+c+d+e) = 1156/4= 
1156/4 = 289
289   ANSWER:289
Answer: B
The average of 5 quantities is 10. The average of 3 of them is 4. What is the average of remaining 2 numbers?
Choose one:
A) 19  B) 14  C) 8  D) 9.5  E) None of these

Solution: 19NSWER: 19   (5x10-3x4)/2=19
Answer: A
John needs 4 balls out of 10 balls.How many ways are possible? Answers:
A) 1050  B) 220  C) 630  D) 540  E) 720

Solution: The possible way is 106304   106304=10!/6!*4!=10*9*8*7*6!/6!*4*3*2*1   =630 ways   Ans:option 630
Answer: C
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answers:
A) 4800
B) 4991
C) 5004
D) 5000
E) 5002

Solution: Explanation:   Let the sale in the sixth month =x=x   Then 6435+6927+6855+7230+6562+x/6=6500   => 6435+6927+6855+7230+6562+ =6×6500   => 34009+x=39000   => x=39000−34009=4991   Answer: Option 4991
Answer: B
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choose the correct answer.
A) 2:3:5
B) 3:4:7
C) 4:5:9
D) 6:5:9
E) None of these

Solution: A:3:4:7:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)   = 144:192:336 = 3:4:7   ANSWER:3:4:7
Answer: B
What is the greatest value of n such that 30!/6^n is an integer?	Select.
A) 11
B) 12
C) 13
D) 14
E) 15

Solution: 30/2 + 30/(2^2)+30/(2^3)+30(2^4) = 15+7+3+1= 
15+7+3+1 = 26
26   How many 3's are there ? so that the division leads to be an integer   30/3 + 30/(3^2)+30/(3^3)= 10+3+1= 
10+3+1 = 14
14   How many 3's and 2's are there so that the division leads to be an integer   Minimum or common between 26 and 14.   Answer is 14.   ANSWER:14
Answer: D
Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 26 have long fur, 30 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown? Choices.
A) 26	B) 19	C) 11	D) 8	E) 6

Solution: No of dogs=45   Long fur=26   19rown=30   Neither long fur nor brown=8   Therefore, either long fur or brown=45-8= 
45-8 = 37
37   37=26+30-19oth   19oth=19   Answer 19
Answer: B
If v persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job? Select:  A) z  B) x  C) x/y  D) z/x  E) y/z

Solution: the Q doesn't seem to be having the any correct answer as a choice..   since we are looking for days, lets keep days in end and work out a solution..   v person can do z jobs in y days..   so v person can do 1 job in y/z days..   and 1 person can do 1 job in y^2/z days..   so y person can complete 1 job in y^2/zy=y/z..   so the answer should be y/z=y/z
Answer: E
An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent F of the gasoline in the tank is brand Z?	Choose the correct answer:
A) 50%	B) 40%	C) 37.5%	D) 331⁄3%	E) 25%

Solution: Work with fraction of brand Z in the tank.   1st step: brand Z is 1   2nd step: brand Z is 1/2   3rd step: brand Z is (1/2)*(1/2) + 1/2 = 3/4   4th step: brand Z is (1/2)*(3/4) F= 3/8 = 37.5%   Answer (37.5%)
Answer: C
If 6887 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?  Choices
A) 1 books	B) 2 books	C) 3 books	D) 4 books	E) 5 books

Solution: The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 6887.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 6887 = 29 and 27 is divisible by 9.   Hence, we need to remove 2 to this number for it to be divisible by 9   Correct Option: 2 books
Answer: B
Using all the letters of the word "SULOCHANA", how many words can be formed, which begin with M and end with M?  Choose the most appropriate option
A) 5040 B) 2010 C) 3028 D) 6078 E) 1025

Solution: There are five letters in the given word.   Consider 9 blanks ....   The first blank and last blank must be filled with S and A all the remaining three blanks can be filled with the remaining 7 letters in 7! ways.   The number of words = 7! = 5040.   5040nswer:5040
Answer: A
If Ben's income is Rs 35000, calculate his savings given that his income and expenditure are in the ratio 7:4.?  Choose the correct choice from the following answers:
A) Rs 4900
B) Rs 9800
C) Rs 9000
D) Rs 7000
E) Rs.15000

Solution: Let the income and the expenditure of the person be Rs.7x and Rs.4x respectively.   Income, 7x = 35000 => x = 5000   Savings = Income - expenditure = 7x - 4x = 3x   So, savings 7  - 4= 
7  - 4 = 3
3x   So, savings= Rs.15000   Answer: Rs.15000
Answer: E
What is the perimeter of a regular polygon with sides of length 13 cm and internal angles measuring 144° each?	Answers
A) 96 cm	B) 108 cm	C) 120 cm	D) 130 cm	E) 144 cm

Solution: Sum of all interior angles is given by:   180(n-2) = n is number of sides   180(n-2) = 144*n   from here   n = 10   So perimeter becomes 13*10= 
13*10 = 130
130   answer 130 cm
Answer: D
Water is poured in a bath tub at a rate of 11 cubic meters per hour, the level of water in the bath tub rises at a rate of .3 meters per hour. Which of the following best approximates the diameter of the tank in meters?  Choose the correct choice from the following choices:
A) √33  B) √10/2  C) 2√35/3  D) 5  E) 7

Solution: Here's my re-worked solution:   volume = 11 = pi (r^2)(0.3)   11 = 22/7 (3/10)(r^2)   10 = r^2   r = sqrt(35/3)   Diameter=2*sqrt(35/3)   Ans: 2√35/3
Answer: C
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%? Choose one:	A) 388	B) 2998	C) 277	D) 500	E) 271

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85   5x/100 + 90 – 6x/100 = 85   x/100 = 5   => x = 500.Answer: 500
Answer: D
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?  Choose the correct choice from the following answers:
A) 10/21 B) 15/21 C) 09/21 D) 11/21 E) 13/21

Solution: Total number of balls = 2 + 3 + 2= 
2 + 3 + 2 = 7
7   Let S be the sample space.   n(S)= Total number of ways of drawing 2 balls out of 7 = 7C2   Let E = Event of drawing 2 balls , none of them is blue.   n(E) = Number of ways of drawing 2 balls , none of them is blue   = Number of ways of drawing 2 balls from the total 5 (=7-2) balls = 5C2   (∵ There are two blue balls in the total 7 balls. Total number of non-blue balls = 7 - 2= 
7 - 2 = 5
5)   P(E)= n(E)/n(S)=5C2/7C2=(5×4/2×1)(7×6/2×1)=5×47×6=10/21   10/21nswer is 10/21.
Answer: A
A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?  Choices: A) 1 kmph B) 5 kmph C) 6 kmph D) 4 kmph E) 7 kmph

Solution: Explanation:   Speed of Man = 5.5 kmph   Speed of stream = 1.5 kmph   Speed in DownStream = 7 kmph   Speed in UpStream = 4 kmph   Average Speed = (2 x 7 x 4)/11 = 5 kmph.   Answer: 5 kmph
Answer: B
In Town P, 60 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town P are females?  Pick one:
A) 20%  B) 25%  C) 30%  D) 35%  E) 40%

Solution: The percent of the population who are employed females is 60-42= 
60-42 = 18
18%   The percent of employed people who are female is 18% / 60%= 30%.   The answer is 30%.
Answer: C
How many cubes of 3cm edge can be cut out of a cube of 18cm edge
Pick
A) 36 B) 232 C) 216 D) 484 E) 112

Solution: number of cubes=(18 x 18 x 18) / (3 x 3 x 3) = 216 Answer: 216
Answer: C
If F is the product of all positive integers less than 31, than what is the greatest integer k for which F/18^k is an integer?  Pick one:
A) 3
B) 6
C) 7
D) 14
E) 26

Solution: 30! F must be divisible by (3*3*2)^k.   As I will find a lot of 2's among 30!'s factors I will focus on the 3's (that also occurs twice instead of only once as a factor in 18).   Every multiple of 3 will provide me with atleast one factor of 3. There aren't that many so I list them quickly.   3 6 9*   12 15 18*   21 24 27**   30   The stars are marked as they are multiples of 9* or 27** and thus provides two or three 3's respectively.   3=3 (occurs 10 times) +10   3*3= 
3*3 = 9
9 (occurs 3 times) +3(adding just one additional three each as they were not counted for in the multiples of 3)   3*3*3= 
3*3*3 = 27
27 (occurs 1 time) +1 (again, adding just one as they were previously not counted)   Total: 14.   For every k we add two 3's. So we must divide 14 by 2 to get the highest integer K before we receive a non-integer result.   Answer: 7 -> Answer choice: 7.
Answer: C
A and B together can complete a piece of work in 4days. If A alone can complete the same work in 12days, in how many days, in how many days can B alone complete that work?
Answers:	A) 6	B) 8	C) 10	D) 12	E) 5

Solution: (A+B)'s 1day's work = 1/4   A's 1day's work = 1/12   B's 1days's work = (1/4)-(1/12) = 1/6   Hence, B alone can complete the work in 6days.   6nswer is 6
Answer: A
If f(x)= 5x^3- 2x+8 and g(y)= 5y-4, then g(f(x)) = Choose the correct option:
A) 11x^2+4x+4	B) 11x^2-12x+44	C) 8x^3-8x+32	D) 25x^3-10x+36	E) 30x^3-12x+44

Solution: g(f(x)) = 6(f(x)) -4 = 5(5x^3- 2x+8) - 4 = 25x^3-10x+36 =>25x^3-10x+36
Answer: D
The sum of two consecutive number is 87. Which is the larger number?	Choose the most appropriate option.
A) 42	B) 43	C) 44	D) 45	E) 46

Solution: Let consecutive number be x, x+1   Therefore sum of the consecutive number is x + x+1=87   2x+1=87   2x=86   x=43   Therefore larger number is x+1=44   ANSWER:44
Answer: C
A man can row upstream at 27 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Pick one.
A) 31	B) 92	C) 30	D) 32	E) 23

Solution: US = 27   DS = 35   M = (35 + 27)/2= 
(35 + 27)/2 = 31
31   31nswer:31
Answer: A
In a certain circle there are 9 points. What is the number of the triangles connecting 4 points of the 9 points?	Choose the correct choice:
A) 80 B) 96 C) 108 D) 126 E) 132

Solution: IMO : D   HERE we have to select 4 points out of 9 points. Order is not important   So the answer will be 9c4 = 126   Answer 126
Answer: D
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?	Choose the correct choice from the following answers.
A) $0.15  B) $0.20  C) $0.30  D) $0.40  E) $0.45

Solution: We are given that orangeade is made on Day 1 with an EQUAL AMOUNT of water and orange juice. We can set this information up into a ratio using a variable multiplier:   W : OJ = x : x   Thus, orangeade quantity = amount of water + amount of OJ = x + x = 2x   We are next given that orangeade on Day 2 was made by mixing the SAME AMOUNT of orange juice with TWICE THE AMOUNT of water. We can set this information up into a ratio using a variable multiplier:   W : OJ = 2x : x   Thus, orangeade quantity = amount of water + amount of OJ = 2x + x = 3x   We also know that all orangeade made was sold and that the revenue on both days was the same. We can therefore set up the following equation:   Day 1 Revenue = Day 2 Revenue   That is,   (quantity sold Day 1)(price per glass Day 1) = (quantity sold Day 2)(price per glass Day 2)   Let a be the amount of orangeade a glass can hold, then   quantity sold Day 1 = the number of glasses of orangeade sold on Day 1 = 2x/a   Similarly,   quantity sold Day 2 = the number of glasses of orangeade sold on Day 2 = 3x/a   We also know that the price per glass on day 1 = $0.6   But we don’t know the price per glass on day 2, so let’s label it as variable p.   We now have:   (2x/a)(0.6) = (3x/a)(p)   Multiplying both sides by a, we have:   (2x)(0.6) = (3x)(p)   1.2x = 3xp   1.2 = 3p   p = 0.4   Thus, each glass of orangeade was sold for $0.40 on Day 2.   Answer $0.40.
Answer: D
There are 7 identical pens and 9 identical books. In how many different ways can a person select at least one object from this set? Choose the correct choice from the following choices.
A) 16 B) 31 C) 48 D) 79 E) 90

Solution: We can select from 0 to 7 pens and from 0 to 9 books.   Thus the total possible ways to select objects is   8*10= 
  8*10 = 80
80   We must subtract 1 for the case with 0 pens and 0 books.   The answer is 79.
Answer: D
X, Y and Z started a business X's investment is 2 times of Y's investment is 5 times of Z's investment. Find the profit of Y in the total profit of Rs. 3200
Choose the correct choice from the following: A) Rs. 25600 B) Rs. 8500 C) Rs. 1000 D) Rs. 8000 E) None of these

Solution: Explanation:   X = 2Y and Y = 5Z   => X : Y = 2:1 and Y : Z = 5 : 1   => X : Y : Z = 10 : 5 : 1   Ratio of capitals of X, Y and Z = 10 : 5 : 1   Y's share = Rs.[(5/16) × 3200] = Rs. 1000   Answer: Option Rs. 1000
Answer: C
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?	Select the correct option:
A) Rs.2589  B) Rs.2380  C) Rs.8868  D) Rs.2477  E) Rs.6271

Solution: Kamal : Sameer = (9000 * 12) : (8000 * 7)   = 108:56 = 27:14   Sameer's share = 6970 * 14/41 = Rs. 2380.   Answer:Rs.2380
Answer: B
How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?	Choices
A) 3.5 years B) 4 years C) 4.5 years D) 5 years E) 6 years

Solution: Time = (100 * 81) / (450 * 4.5)= 
(100 * 81) / (450 * 4.5) = 4
4 years   ANSWER:4 years
Answer: B
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 6 days. B can do the work alone in?  Select:  A) 19  B) 36  C) 11  D) 19  E) 114

Solution: Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.   Then, (1/x + 2/x + 3/x) = 1/6   6/x = 1/6 => x = 36   So, B takes 18 hours to finish the work.   Answer: 36
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?	Choose the correct option:
A) 20%
B) 26%
C) 42%
D) 27%
E) 22%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer: 20%
Answer: A
If p is a natural number and p! ends with y trailing zeros, then the number of zeros that (5p)! ends with will be
Select the correct option:
A) (p+y) trailing zeros
B) (5p+y) trailing zeros
C) (5p+5y) trailing zeros
D) (p+5y) trailing zeros
E) none of them above

Solution: for p = 10 trailing 0's =   10/5= 
10/5 = 2
2   for 5p,   50/5= 
50/5 = 10
10, 50/25= 2 hence total is 12   Similarly,   for p = 20 trailing 0's = 20/5= 
20/5 = 4
4   for 5p, trailing 0's= 50/5= 
50/5 = 10
10, 50/25= 2 hence total is  10 + 2= 
 10 + 2 = 12
12   thus we observe,   number of 0's= p + y   example p = 20, y = 4 giving 24.   Hence (p+y) trailing zeros.
Answer: A
Find out the next word in the series below...
FAG, GAF, HAI, IAH, ...?
Pick.
A) GAK
B) JAK
C) HGF
D) JAH
E) KHG

Solution: In first FAG it was reodering the first and last letters and these are the continuous alphabets   ANSWER:JAK
Answer: B
If S=x^4 + y^4 = 100, then the greatest possible value of x is between	Pick:
A) 0 and 3  B) 3 and 6  C) 6 and 9  D) 9 and 12  E) 12 and 15

Solution: My attempt:   If S=x^4+y^4=100, then the greatest possible value of x would be when y is minimum.   Let y^4 be 0. Now x^4 = 100. x should be definitely greater than 3 but less than 4. The only option that fits this range is 3 and 6   Hence answer is --   b) 3 and 6.
Answer: B
In a mixture of 60 litres, the ratio of acid to base is 2 : 1. If this ratio is to be 1 : 2, then the quantity of base (in litres) to be further added is Choose one:
A) 20	B) 30	C) 40	D) 50	E) 60

Solution: Acid = 40 lts   Base = 20 lts   to make the ratio A:B = 1:2 ,   60 lts of base should be added   ANSW60R:60
Answer: E
A train 175 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:	Options:  A) 49  B) 50  C) 12  D) 13  E) 68

Solution: Speed of the train relative to man = (175/10) m/sec = (35/2) m/sec. [(35/2) * (18/5)] km/hr = 63 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 63 ==> x = 68 km/hr.   Answer: Option 68
Answer: E
The radius of a circle is increased by 1%. Find how much % does its area increases? Choose the correct choice from the following answers.
A) 2.07%	B) 2.71%	C) 2.05%	D) 2.01%	E) 2.02%

Solution: r = 100 r = 101   r2 = 10000 r2 = 10201   10000 ---- 201   100 ---- ? => 2.01%   Answer: 2.01%
Answer: D
A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 6 hrs by riding both ways. The time he would take to walk both ways is?  Choose one:
A) 5 hours 45 min
B) 5 hours 55 min
C) 6 hours 45 min
D) 11 hours 45 min
E) 12 hours

Solution: ----------------------------------------------------------------   Solution 1   ----------------------------------------------------------------   Given that time taken for riding both ways will be 6 hours lesser than   the time needed for waking one way and riding back   From this, we can understand that   time needed for riding one way = time needed for waking one way - 6 hours   Given that time taken in walking one way and riding back = 5 hours 45 min   Hence The time he would take to walk both ways = 5 hours 45 min + 6 hours = 11 hours 45 min   11 hours 45 min
Answer: D
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/5* ?
Choose the correct choice: A) 5 B) 5/4 C) 4/5 D) 1/4 E) 1/5

Solution: When dealing with 'Symbolism' questions, it often helps to 'play with' the Symbol for a few moments before you attempt to answer the question that's asked. By understanding how the Symbol 'works', you should be able to do the latter calculations faster.   Here, we're told that K* is the PRODUCT of all the fractions of the form 1/T, where T is an integer between 1 and K, inclusive.   Based on this definition....   IF....   K = 2   K* = (1/1)(1/2) = 1/2   IF....   K = 3   K* = (1/1)(1/2)(1/3) = 1/6   We're asked to find the value of 5*/4*   Now that we know how the Symbol 'works', solving this problem shouldn't be too difficult. You can actually choose to do the math in a couple of different ways....   5* = (1/1)(1/2)(1/3)(1/4)(1/5)   Don't calculate this just yet though....since we're dividing by 4*, many of those fractions will 'cancel out.'   4* = (1/1)(1/2)(1/3)(1/4)   We're looking for the value of:   (1/1)(1/2)(1/3)(1/4)(1/5) / (1/1)(1/2)(1/3)(1/4)   Since the first four fraction in the numerator and denominator cancel out, we're left with just one fraction:   5/3   5/4
Answer: B
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?	Options.
A) 2789
B) 2772
C) 1991
D) 6725
E) 2099

Solution: CP = SP * (100/(100 + profit%))   = 8339(100/124) = Rs. 6725.   Answer: 6725
Answer: D
If two negative numbers are multiplied the product is 150. If the lesser of the two is 35 less than triple the greater number, what is the greater number?	Choose the correct answer:
A) -14 B) -13 C) -17 D) -12 E) -15

Solution: Test the options. The options give you the greater number. Start from the middle option.   (C) - 17   Triple of -17 is -51 and 35 less is -16.   -16 * -17= 
-16 * -17 = 272
272 (Not correct)   ...   (E) - 15   Triple of 15 is -45 and 35 less is -10.   -10 * -15= 
-10 * -15 = 150
150   Correct   Answer (-15)
Answer: E
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 12 units?	Options:
A) 140 sq.units
B) 170 sq.units
C) 190 sq.units
D) 168 sq.units
E) 149 sq.units

Solution: Explanation:   Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 12 units   Area of the rectangle = lb = 14 * 12= 
14 * 12 = 168
168 sq.units   Answer: Option 168 sq.units
Answer: D