MU-NLPC/Calc-aqua_rat huggingface dataset:
In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 52, what is the greatest possible value of B × A?	Choose the most appropriate option.
A) 0
B) 5
C) 10
D) 15
E) 22

Solution: You should notice that 52*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0= 
0*0 = 0
0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*5=22 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).   Answer: E.   !   Please post PS questions in the PS subforum:gmat-problem-solving-ps-140/   Please post DS questions in the DS subforum:gmat-data-sufficiency-ds-141/   No posting of PS/DS questions is allowed in the mainMath forum.   22
Answer: E
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 78, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?
Choices.
A) K+39  B) 2K+39  C) (78+K)/2  D) (78-K)/2  E) 2(78-K)

Solution: Let y be the years of service at the company.   After y years of service, Sue's age will be K + y.   Sue can retire when (K+y) + y = 78   y = (78 - K)/2   Then Sue's age will be K + y = K + (78 - K)/2 = (78+K) / 2   The answer is (78+K)/2.
Answer: C
A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 10 articles to be sold at the cost price of 9 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?
Pick:
A) 50%  B) 55%  C) 60%  D) 66+(2/3)%  E) 80%

Solution: Given   Cash 66+(2/3)%iscount - 20%   Profit - 20%   Items Sold - 10   Price Sold at = List Price of 9   Assume List price = $10   Total Invoice = $90   -20% Cash 66+(2/3)%iscount = $72   Let cost price of 10 items be x   So total cost = 10*x   Given the shopkeeper had a profit of 20%   10 * x * 120/100 = 72   or x = $6   Which means his products were listed at $10 which is a 66+(2/3)% markup over $6   Answer 66+(2/3)%
Answer: D
Juan is a gold medalist in athletics. In the month of May, if Juan takes 8 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?  Choose the correct choice from the following:	A) 8x/y	B) 11x/y	C) 9x/y	D) 12x/y	E) 13x/y

Solution: velocity=distance/time;   since he ran at same rate both d tyms,   y/8=x/t   so t=8x/y   8x/yNSWER:8x/y
Answer: A
Two pipes P and Q can fill a cistern in 11 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?  Pick one
A) 1/8 B) 1/4 C) 2/4 D) 10/11 E) 1/4

Solution: 3/11 + x/15   = 1   x= 10 10/11   Answer: 10/11
Answer: D
Find the average of all even numbers upto 75.
Choose one:
A) 35
B) 36
C) 38
D) 34
E) 37

Solution: Average of all even numbers upto 75 = [ 35/2* ( first even number +   greatest even number before 75) ]/35   = ½ *(2 +74 )   = 76/2= 
76/2 = 38
38.   ANSWER:38
Answer: C
The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?	Choose the correct choice from the following answers:
A) 39 kg  B) 36 kg  C) 32 kg  D) 31 kg  E) 96 kg

Solution: Let the weights of the three boys be 4k, 5k and 6k respectively.   4k + 6k = 5k + 45   => 5k = 45 => k = 9   Therefore the weight of the lightest boy   = 4k = 4(9) = 36 kg.   Answer:36 kg
Answer: B
The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 88 and Rs. 80 respectively. The sum is:  Choose the correct choice from the following choices
A) 880 B) 1450 C) 1600 D) 1800 E) None

Solution: Sol.   Sum = S.I. * T.D. / (S.I)-(T.D.) = 88 * 80 / (88 - 80) = Rs.880.   880nswer 880
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 21 seconds. The ratio of their speeds is?
Choose the correct choice from the following answers:
A) 3/6
B) 3/2
C) 2/3
D) 3/5
E) 5/2

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train   = 27 x meters, and length of the second train   = 17 y meters. (27 x + 17 y) / (x + y) = 21 ==> 27 x + 17 y = 21 x + 21 y   ==> 6 x = 4 y ==> x/y   = 2/3.   Answer:2/3
Answer: C
6 letters have to be put into their 6 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Choose the correct option:	A) 1/720	B) 1/60	C) 1/120	D) 1/240	E) 3/5

Solution: A-B-C-D-E (envelopes)   a-b-c-d-e (letters)   6 letters (a, b, c, d, and e) can be assigned to 6 envelopes (arranged) in 6! ways, out of which only one will be correct, thus the probability is 1/6! = 1/720.   1/720nswer: 1/720
Answer: A
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.34, the number of 25 paisa coins is?	Choices.
A) 30
B) 31
C) 32
D) 34
E) 38

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 3400   600x = 3400   x = 5.66 => 6x = 34   ANSWER:34
Answer: D
The expression (11.98 × 11.98 + 11.98 × x + 0.02 × 0.02) will be a perfect square for x equal to	Pick:
A) 0.02  B) 0.2  C) 0.04  D) 0.4  E) 4

Solution: Solution   Given expression = (11.98)2 + (0.02)2 + 11.98 × x.   For the given express to be a perfect square, we must have   11.98 × x = 2 × 11.98 × 0.02 or x = 0.04. Answer 0.04
Answer: C
The owner of a furniture shop charges his customer 15% more than the cost price. If a customer paid Rs. 8325 for a computer table, then what was the cost price of the computer table?  Choose the correct choice from the following options:  A) Rs.6725  B) Rs.7239.13  C) Rs.6908  D) Rs.6725  E) Rs.6728

Solution: CP = SP * (100/(100 + profit%))   = 8325(100/115) = Rs.7239.13.   Answer: Rs.7239.13
Answer: B
Sam took a loan from his local bank to support his small business. He is expected to double the amount he paid the previous month till he repays a total of $128000. His first payment is $250.
Choose the correct choice from the following options: A) 10 B) 14 C) 12 D) 13 E) 15

Solution: First payment--$250   Total amount to be repaid--$128000   First month payment--$250   Second month payment--$250*2=$500   Third month payment--$500*2  -- 250*2= 
  -- 250*2 = 500
$500   Third month payment--$500*2=$1000   Fourth month payment--$1000*2 -- 500*2= 
 -- 500*2 = 1_000
$1000   Fourth month payment--$1000*2=$2000   Fifth month payment--$2000*2  -- 1000*2= 
  -- 1000*2 = 2_000
$2000   Fifth month payment--$2000*2=$4000   Sixth month payment--$4000*2 -- 2000*2= 
 -- 2000*2 = 4_000
$4000   Sixth month payment--$4000*2=$4000   Seventh month payment--$4000*2=$8000   Eight month payment--$8000*2-- 4000*2= 
-- 4000*2 = 8_000
$8000   Eight month payment--$8000*2=$16000   Ninth month payment--$16000*2 -- 8000*2= 
 -- 8000*2 = 16_000
$16000   Ninth month payment--$16000*2=$32000   Tenth month payment--$32000*2 -- 16000*2= 
 -- 16000*2 = 32_000
$32000   Tenth month payment--$32000*2=$64000   Eleventh month payment--$32000*2 -- 32000*2= 
 -- 32000*2 = 64_000
$64000   Eleventh month payment--$32000*2=$64000   Twelfth month payment--$32000*2 -- 32000*2= 
 -- 32000*2 = 64_000
$64000   Twelfth month payment--$32000*2=$64000   Thirteenth month payment--$64000*2-- 32000*2= 
-- 32000*2 = 64_000
$64000   Thirteenth month payment--$64000*2=$128000   Answer is 13-- 64000*2= 
-- 64000*2 = 128_000
$128000   Answer is 13
Answer: D
What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 84?
Choose the most appropriate option:
A) 5307
B) 5647
C) 5927
D) 6297
E) 6557

Solution: When increased by 3, the number must include at least 2^2*3^2*5^2*7 = 6300   The answer is 6297.
Answer: D
Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, G, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?  Choose the correct choice from the following:  A) 14  B) 16  C) 17  D) 20  E) 26

Solution: Since 11Y = Even therefore Y has to beEVENsince 11 is a odd integer (Even * Odd = Even)   Similarly, Y is the product of all integers in set X But all integers in Set X are odd except the unknown G and since X contains only prime numbers, G has to equal to 2... ( 2 is the only even prime number and the product of all prime numbers in set X has to be Even, Even * Odd = Even)   Since you know value of G you can calculate the range = Largest integer in the set minus Smallest integer in the set = 19-2= 
19-2 = 17
17   Answer is 17
Answer: C
The C.P of 30 books is equal to the S.P of 40 books. Find his gain% or loss%? Choose the correct answer
A) 23%
B) 24%
C) 25%
D) 50%
E) 40%

Solution: explanation:   30 25%P = 40 SP   40 --- 10 25%P loss   100 --- ? => 25% loss   Answer: 25%
Answer: C
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Choose the correct choice.
A) 122443
B) 154546
C) 165454
D) 186545
E) 220030

Solution: (555 + 445) * 2 * 110 + 30 = 220000 + 30= 
220000 + 30 = 220_030
220030   220030
Answer: E
A certain manufacturer sells its products	to stores in 113 different	regions worldwide, with an average (arithmetic mean) of 171 stores per region. If last year these stores sold an	average of 51,752 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year? Choices.
A) 10^5	B) 10^6	C) 10^7	D) 10^8	E) 10^9

Solution: 51752*171*113 or   51000*170*113 or   50000*200*100   =10^9   10^9
Answer: E
How many keystrokes are needed to type numbers from 1 to 200?
Choose one: A) 400 B) 500 C) 492 D) 200 E) None of these

Solution: Explanatory Answer   While typing numbers from 1 to 200, there are 9 single digit numbers: from 1 to 9.   Each of these numbers requires one keystroke.   That is 9 key strokes.   There are 90 two-digit numbers: from 10 to 99.   Each of these numbers requires 2 keystrokes.   Therefore, 180 keystrokes to type the 2-digit numbers.   There are 101 three-digit numbers: from 100 to 200.   Each of these numbers requires 3 keystrokes.   Therefore, 303 keystrokes to type the 3-digit numbers.   Totally, therefore, one requires   9 + 180 + 303= 
  9 + 180 + 303 = 492
492 keystrokes.   492hoice 492 is the correct answer.
Answer: C
Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project? Select the correct option.
A) 1/3	B) 1/4	C) 1/6	D) 1/8	E) 1/9

Solution: Explanation:   One-half (1/2) plus one-third (1/3) equals five-sixths (5/6), so one-sixth (1/6) of the third worker's time should be budgeted to the project in order for the total time to be equivalent to that of one person working full-time.   If x 2 - x - 6 = 0, then (x + 2)(x - 3) = 0, so x = -2 or x = 3.   Correct answer : 1/3
Answer: A
A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt Choose the correct choice from the following options:
A) 680  B) 378  C) 267  D) 299  E) 271

Solution: Explanation:   area of theplot = 110 * 65= 
110 * 65 = 7_150
7150 sq m   area of the plot excluding the path= (110-5)* (65-5)= 
(110-5)* (65-5) = 6_300
6300 sq m   area of the path= 7150 - 6300= 
7150 - 6300 = 850
850 sq m   cost of gravelling the path= 850 * 80/100= 
850 * 80/100 = 680
680 Rs   680nswer: 680) 680rs
Answer: A
Two pipes can fill a tank in 15 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?  Options
A) 1/15 B) 1/16 C) 1/11 D) 1/9 E) 1/12

Solution: Part of the filled by all the three pipes in one minute   = 1/15 + 1/15 - 1/45 = 1/9   So, the tank becomes full in 9 minutes.   Answer:1/9
Answer: D
The average (arithmetic mean) of four numbers is 4x + 9. If one of the numbers is x, what is the average of the other three numbers? Select.
A) x + 1
B) 3x + 3
C) 5x + 1
D) 5x + 4
E) 5x + 12

Solution: The sum of all four numbers is 4 * (4x + 9) = 16x + 36.   If one of the numbers is x, the sum of the other 3 numbers is 15x+36.   The average of the remaining three numbers is (15x+36)/3 = 5x+12.   The answer is 5x + 12.
Answer: E
How many litres of pure acid are there in 15 litres of a 20% solution Choose the correct option:	A) 4	B) 5	C) 2	D) 3	E) 1

Solution: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 15 * 20/100= 
15 * 20/100 = 3
3 Answer: Option 3
Answer: D
We have 20 thousand dollars that must be invested among 4 possible
mutual funds. Each investment must be in units of 1 thousand dollars,
and there are minimal investments that need to be made if one is to
invest in these funds. The minimal investments are 2, 2, 3 and 4 thou-
sand dollars. How many dierent investment strategies are available if
an investment must be made in each mutual fund?	Choices:
A) 220  B) 240  C) 260  D) 280  E) 300

Solution: Since minimal investments must be made for 2, 2, 3, and 4 thousand dollars into   the four mutual funds, this leaves  20-2-2-3-4= 
 20-2-2-3-4 = 9
9 thousand dollars to invest as one   pleases. Thus, we want to determine the number of ways of dividing up 9 thousand dollars   among 4 different mutual funds. Consider 12 different boxes aligned as shown and check   three of them:Here, we have checked the first, fifth, and tenth boxes. Each such diagram corresponds to   a way of investing the remaining money as follows. We order the mutual funds. Count   the number of unchecked boxes to the left of the first checkmark. Call this number k1.   In the illustration above, k1= 0. Next, count the number of unchecked boxes between   the first two checkmarks. Call this number k2. In the illustration, k2 = 3. Next, call   k3 the number of unchecked boxes between the second and third checkmarks, and call k4   the number of unchecked boxes after the third checkmark. Thus, k3 = 4 and k4 = 2.   Observe that k1 + k2 + k3 = 9, the total number of unchecked boxes. Make additional   investments (beyond the required minimal investments) of k1 thousand dollars in the first   fund, k2 thousand dollars in the second fund, k3 thousand dollars in the third fund, and   k4 thousand dollars in the fourth fund. Thus, the total number of dierent investments is   the same as the number of ways of choosing three blocks (to check) from among 12 blocks.   This number is(12 3)=12/3*9=12*11*10/3*2*1=220   correct answer 220
Answer: A
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard? Choose the correct choice.
A) 17 m  B) 45 m  C) 54 m  D) 77 m  E) 34 m

Solution: 1 m2 ---- 1/2   ? ----- 600 => 1200 m2   4x * 3x = 1200 => x = 10   Answer: 45 m
Answer: B
what is the least number by which 16,800 must be divided to get a number perfect square  Choose the correct choice from the following:
A) 21
B) 42
C) 24
D) 40
E) 45

Solution: 16,800/42=400   400=(20)^2   Ans-42   ANSWER:42
Answer: B
What is the value of (44444445*88888885*44444442+44444438/44444444^2) Choose the correct answer.
A) 88888883 B) 88888884 C) 88888885 D) 88888886 E) 88888873

Solution: let x=44444444,then   44444445=x+1   88888885=2x-3   44444442=x-2   44444438=x-6   44444444^2=x^2   then substitute it in equation   (x+1)(2x-3)(x-2)+(x-6)/x^2   ans is 2x-5 i.e 88888883   88888883NSWER:88888883
Answer: A
The concentration of spirit in three different vessels A, B and C are 45%, 30% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution. Pick:
A) 32%
B) 33%
C) 34%
D) 35%
E) 36%

Solution: Quantity of spirit in new solution=(4*45/100)+(5*30/100)+(6*25/100)=1.8+1.5+1.5= 
1.8+1.5+1.5 = 4.8
4.8 liters   So % concentration of spirit=100*4.8/(4+5+6)= 
100*4.8/(4+5+6) = 32
32%   32%NSWER:32%
Answer: A
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 830 in 4 years. The
rate on interest per annum is. Choose the correct choice from the following choices
A) 4.60% B) 5.55% C) 7.66% D) 7.0% E) 3.75%

Solution: Explanation:   S.I. on Rs 800 for 1 year = 30   Rate = (100*30)/(800*1)= 
(100*30)/(800*1) = 15/4 = around 3.75
3.75%   Answer: 3.75%
Answer: E
A person crosses a 800 m long street in 5 minutes. What is his speed in km per hour?	Choose the correct choice from the following:
A) 1.23  B) 2.86  C) 4.36  D) 9.25  E) 9.61

Solution: distance = 800 meter   time = 5 minutes = 5 x 60 seconds = 300 seconds   Speed = distance/time=800/300=2.67 m/s=2.67Ã—18/5 km/hr=9.61 km/hr   Answer :9.61
Answer: E
If the average (arithmetic mean) of (2a+16) and (3a-8) is 89, what is the value of a? Choose one.
A) 25
B) 30
C) 28
D) 34
E) 42

Solution: ((2a+16) + (3a-8)) / 2 = (5a+8)/2 = 89   a= 34   The answer is 34.
Answer: D
A regular nine side is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?	Choices:
A) 48 degrees B) 54 degrees C) 72 degrees D) 70 degrees E) 108 degrees

Solution: its a regular nine side so divide the globe by 9.   = 360/9= 
360/9 = 40
40   40 would be the angle at O.   Angles at A and B are equivalent, so   40 + 2x= 180   2x = 140   x = 70   Angles OAB and OBA will be 70 degrees each.   70 degrees
Answer: D
Find the greatest number which leaves the same remainder when it divides 25, 50 and 120.
Choose the correct choice from the following:
A) 18
B) 5
C) 12
D) 16
E) None of these

Solution: 120 - 50= 
120 - 50 = 70
70   50 - 25= 
50 - 25 = 25
25   120 - 25= 
120 - 25 = 95
95   The H.C.F of 25, 70 and 95 is 5.   ANSWER:5
Answer: B
Ayesha's father was 28 years of age when she was born while her mother was 20 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Choose the most appropriate option: A) 2 years B) 4 years C) 12 years D) 8 years E) 10 years

Solution: Explanation:   Mother's age when Ayesha's brother was born = 20 years.   Father's age when Ayesha's brother was born = (28 + 4)= 
(28 + 4) = 32
32 years.   Required difference= (32 - 20)= 
(32 - 20) = 12
12 years.   Answer: 12 years
Answer: C
A can do a piece of work in 10 days and B alone can do it in 15 days. How much time will both take to finish the work ? Choose the correct choice from the following
A) 2 days  B) 7 days  C) 6 days  D) 9 days  E) 3 days

Solution: 6 days   6 days   Time taken to finish the job = XY / (X + Y)   = 10 x 15 / (10 + 15)   = 150 / 25= 
150 / 25 = 6
6 days
Answer: C
What is the mass of the man, if a boat of length 4m, width 1.5m floating on a river sinks by 0.015 m when the man gets on the boat? Choose the correct choice from the following answers:
A) 100kg
B) 90kg
C) 80kg
D) 70kg
E) None of these

Solution: SOLUTION :   Volume of water displaced = 4*1.5*0.015= 
4*1.5*0.015 = 0.09
0.09m3   Mass= volume of water displaced * density of water   Mass = 0.09 * 1000= 
0.09 * 1000 = 90
90kg   ANSWER IS 90kg
Answer: B
Which of the following is equal to 1(1/4)%?	Choose the correct choice:
A) 0.012/100
B) 0.12/100
C) 1.25/100
D) 12/100
E) 12/10

Solution: This notation may be confusing for some, since it looks like we're multiplying 1 and 1/4   How about adding a space:Which of the following is equal to (1 1/4)%   (1 1/4)% = 1.25% = 1.25/100   Answer:   1.25/100
Answer: C
The H.C.F. of two numbers is 12 and their difference is 12. The numbers are : Choose the correct choice from the following
A) 66, 78  B) 70, 82  C) 94, 106  D) 84, 96  E) None of these

Solution: Explanation:   Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96.   ANSWER IS 84, 96
Answer: D
The median annual household income in a certain community of 21 households is $50,000. If the mean E income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?	Pick.
A) $50,000 B) $60,000 C) $60,500 D) $65,000 E) Cannot be determined

Solution: Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean E is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.
Answer: E
A group of 3 CEOs and 2 employees recently frequented the Bohemian Ala Restaurant. The total bill for the meal, including 20% gratuity, came to $600. On average, how much did the meal of each individual cost before gratuity?
Choose the most appropriate option:
A) $160
B) $96
C) $90
D) $10
E) $55

Solution: 3 CEOs and 2 employees - so total 5 people   The bill $600 includes 20% gratuity... so the actual cost of dinner was $500   Now, the cost per person will be $500/5 which is $10   Option $10
Answer: D
4 dice are thrown simultaneously on the board. Find the probability show the same face. Choose the correct choice.
A) 1/115
B) 2/113
C) 1/216
D) 3/114
E) None

Solution: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let XX be the event that all dice show the same face.   X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}   n(X)=6n(X)=6   Hence required probability,   =n(X)n(S)=664=n(X)n(S)=664   =1/216   1/216
Answer: C
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in  Choose the correct option.
A) 30 days B) 25 days C) 20 days D) 15 days E) 24 days

Solution: Work done by P and Q in 1 day = 1/10   Work done by R in 1 day = 1/50   Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50   But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as   Work done by P in 1 day × 2 = 6/50   => Work done by P in 1 day = 3/50   => Work done by Q and R in 1 day = 3/50   Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25   So Q alone can do the work in 25 days   Option 25 days
Answer: B
Sahil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportaƟon
charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it Choose the correct option:
A) Rs. 22000	B) Rs. 24000	C) Rs. 26000	D) Rs. 28000	E) None of these

Solution: Explanation:   Question seems a bit tricky, but it is very simple.   Just calculate all Cost price, then get 150% of CP.   C.P. = 10000 + 5000 + 1000= 
10000 + 5000 + 1000 = 16_000
16000   150% of 16000= 150/100 * 16000= 
150/100 * 16000 = 24_000
24000   Answer: Rs. 24000
Answer: B
If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a - b - c ?
Choose the correct choice from the following answers:  A) 6  B) 2  C) -1  D) -3  E) -4

Solution: a = 2n (n>=3), b = 2n - 2, c = 2n - 4   a -b -c = 2n - (2n-2) - (2n-4) = 6 - 2n <= 0   since n >=3 ,   even -> -4   ANSW-4R:-4
Answer: E