MU-NLPC/Calc-aqua_rat huggingface dataset:
A, B and C shared profits in ratio of 5 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?  Options:
A) 10 : 49 : 45 B) 20 : 49 : 64 C) 10 : 19 : 64 D) 20 : 29 : 64 E) 30 : 29 : 63

Solution: Simply multiply profit sharing ratio with investment ratio to get investment amount ratio.   Let X is the total investment   ⇒14 x = 5   ⇒ 8 x = 7   ⇒ 7x = 8   ⇒ Final investment ratio = 20 : 49 : 64   20 : 49 : 64
Answer: B
If 2x-1 + 2x+1 = 1280, then find the value of x.	Select the correct option.
A) 0
B) 2
C) 4
D) 9
E) 6

Solution: Sol.   2x-1 + 2x+1 = 1280 ⇔ 2x-1 (1+22) = 1280   ⇔ 2x-1 = 1280 / 5= 
1280 / 5 = 256
256= 28   ⇔ x - 1 = 8 ⇔ x = 9.   Hence, x = 9.   Answer 9
Answer: D
What should come in the place of the question mark(?) in the following equation?
21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17 Options:
A) 7 77⁄125  B) 11 9⁄10  C) 119⁄450  D) 1 29⁄90  E) None of these

Solution: ? = 21⁄25 × 20⁄9 × 5⁄12 ÷ 17⁄10 = 119⁄90 = 129⁄90   Answer 1 29⁄90
Answer: D
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?	Choose the correct choice from the following options
A) 3630
B) 2277
C) 2668
D) 1286
E) 19881

Solution: 6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   3630nswer:3630
Answer: A
A woman started a business investing Rs. 70,000. Roja joined him after six months with an amount of Rs. 1,05,000 and Sachin joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Akash, Roja and Sachin respectively, 3 years after Aman started the business ? Choose the correct choice from the following answers
A) 7:6:10  B) 12:15:16  C) 42:45:56  D) None of these  E) Cannot be determined

Solution: Explanation :   Akash : Roja : Sachin = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)   = 12 : 15 : 16.   Answer : 12:15:16
Answer: B
A meeting has to be conducted with 5 managers.Find the number of ways in which the managers may be selected from among 9 managers,if 3 managers will not attend the meeting together. Choose the correct choice from the following:	A) 1.24	B) 2.91	C) 3.12	D) 4.126	E) 5.15

Solution: 9 managers, but 3 of them cannot attend the meeting together.   We can split it into two cases.   1. Meeting without these 3 managers in it. That would mean selecting 5, from the remaining 6 which is 6C5 = 6   2. Meeting with one of the 3 managers. select 1 manager from 3, and then select 4 from the remaining 6, which is 3C1 + 6C4 = 18 + 6= 
18 + 6 = 24
24.   1.24nswer : 1.24
Answer: A
Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?	Choose the correct answer
A) a) x minutes	B) b) x/2 minutes	C) c) 2x/3 minutes	D) d) 3x/2 minutes	E) e) 2x minutes

Solution: Speed of nicole = 20km/h or 20/60 km/min = 1/3 km/min.   Once jessica passed the nicole, the distance between the nicole and jessica will increase at the rate of   (30-20)= 
  (30-20) = 10
10km/h or 1/6 km/min   now jessica is cycling for x minutes after passing the nicole, so in those x minutes distance between jessica and nicole would be (1/6)*x= x/6 km.   So, the time taken by nicole to travel x/6 km = (x/6)/(1/3) = 2x. hence answer should be e) 2x minutes.
Answer: E
If the average marks of three batches of 58, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is	Pick.
A) 54.48
B) 54.68
C) 54.6
D) 54.58
E) None of these

Solution: Explanation:   (58Ã—50)+(60Ã—55)+(45Ã—60)/(55+60+45)=54.60   Answer: Option 54.6
Answer: C
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 60 terms of this sequence?	Pick: A) (1+1/2)/ (1/51 +1/ 52) B) (1+1/2) – (1/61 +1/ 62) C) (1+1/2)* (1/51 +1/ 52) D) (1+1/2) + (1/51 +1/ 52) E) (1/51 +1/ 52)

Solution: The answer would most certainly be[B]. But the question needs a slight modification.n>=1, since the answer does consider a1 under the sum.   The sequence is :   a1 = 1-1/3   a2 = 1/2 - 1/4   a3 = 1/3 - 1/5....   We can observe that the third term in the sequence cancels the negative term in the first. A similar approach can be seen on all the terms and we would be left with 1 + 1/2 from a1 and a2 along with -1/62 and -1/61 from a60 and a59 term which could not be cancelled.   Hence the sum = (1+1/2) – (1/61 +1/ 62)   Answer : (1+1/2) – (1/61 +1/ 62)
Answer: B
The radius of a semi circle is 6.3 cm then its perimeter is?	Choices.
A) 32.7 B) 32.4 C) 22.4 D) 32.8 E) 32.1

Solution: 36/7 r = 6.3 = 32.4   Answer:32.4
Answer: B
A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
Select
A) 7	B) 8	C) 9	D) 10	E) 11

Solution: Lets assume there are 2X people.   Half of them have average weight of 200 and other half has 230.   Maximum Weight is = 2000   So 200*X + 230*X = 2000   => 430X = 2000   => X is approximately equal to 5.   So total people is  2*5= 
 2*5 = 10
10   We are not taking 10 as answer because say 10th person has minimum of 200 weight then   200*5 + 230*5= 
200*5 + 230*5 = 2_150
2150 (Which is more than 2000)   Answer 9.
Answer: C
A manufacturer of chocolates makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10. How many “different” boxes of chocolates can be made?	Choices:
A) 22 B) 27 C) 99 D) 2712 E) 211

Solution: Answer:99
Answer: C
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 240 m long?	Choose the correct choice from the following choices: A) 38 sec B) 35 sec C) 44 sec D) 48 sec E) 50 sec

Solution: Explanation:   Speed = 45 km/hr = 45×(10/36) m/s   = 150/12 = 50/4 = 25/2 m/s   Total distance = length of the train + length of the platform   = 360 + 240= 
360 + 240 = 600
600 meter   Time taken to cross the platform= 600/(25/2) = 600×2/25 = 48 seconds   Answer: Option 48 sec
Answer: D
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?	Options:	A) 9 % loss	B) 10% gain	C) 450	D) 12% loss	E) 12% gain

Solution: (30*30)/100= 
(30*30)/100 = 9
9%loss   9 % lossNSWER 9 % loss
Answer: A
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:  Choose the correct choice from the following answers.
A) 30	B) 50	C) 5	D) 40	E) 20

Solution: Let the total number of shots be x. Then,   Shots fired by A = 5/8x   Shots fired by B = 3/8x   Killing shots by A = 1/3 of 5/8x = 5/24x   Shots missed by B = 1/2 of 3/8x = 3/16x   Therefore, 3x/16 = 27 or x = (27 x 16/3)= 144.   Birds killed by A = 5x/24 = (5/24 x 144)= 30.   30nswer is 30.
Answer: A
Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price. Choose the correct choice from the following.
A) 27000	B) 26750	C) 26000	D) 25750	E) None of these

Solution: Explanation:   Profit = %profit/100 * cost price   P = 7/100 * 25000= 
7/100 * 25000 = 1_750
1750.   Selling price= cost price + profit   = 25000 + 1750   = Rs.26750   ANSWER 26750
Answer: B
Which number replace question mark in the series?
16 8 40 20 100 50 250 ? 625 Choose the correct choice from the following:	A) 254	B) 125	C) 354	D) 199	E) 540

Solution: Explanation: (alternate series of /2 and &5)   16/2= 
16/2 = 8
8   8 * 5= 
8 * 5 = 40
40   40/2= 
40/2 = 20
20   20 * 5= 
20 * 5 = 100
100   100/2= 
100/2 = 50
50   50 * 5= 
50 * 5 = 250
250   250/2= 
250/2 = 125
125   125 * 5= 
125 * 5 = 625
625   correct answer is 125)125
Answer: B
2 is what percent of 50
Choices:
A) 2%
B) 4%
C) 6%
D) 8%
E) 10%

Solution: Explanation:   2/50 * 100 = 1/25 * 100= 
1/25 * 100 = 4
4 %   Answer: Option 4%
Answer: B
Charges made by two companies for the same A/C
Company XCompany Y
Price$575$530
Surcharge as a Percent of Price4%3%
Installation Charge$82.50$93.00
The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
Select
A) $41.60
B) $45.00
C) $50.75
D) $55.75
E) $61.25

Solution: Looking at the values / percentage, its clear that Company X costlier than Company Y   Just observed the O$41.60; they have 4 distinct numbers after decimal point   Total calculation of company x gives .00 + .00 + .50= 
 .00 + .00 + .50 = 0.5
.50at the decimal   Total calculation of company y gives  .00 + .90 + .00= 
  .00 + .90 + .00 = 0.9
.90at the decimal   There difference provides .60 at the decimal; only 41.60 fits in   $41.60nswer= $41.60
Answer: A
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Choose the correct choice from the following choices
A) 86 B) 20 C) 78 D) 27 E) 28

Solution: x ------- 9   (x + 10) ---- 6   x * 9 = (x + 10)6   x = 20   Answer:20
Answer: B
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 188 votes. Find the total number of valid votes?  Choose the correct choice from the following answers:
A) 430
B) 438
C) 436
D) 470
E) 422

Solution: Let the total number of valid votes be x.   70% of x = 70/100 * x = 7x/10   Number of votes secured by the other candidate = x - 7x/100 = 3x/10   Given, 7x/10 - 3x/10 = 188 => 4x/10 = 188   => 4x = 1880 => x = 470.   Answer:470
Answer: D
Joe had $525,420 in his bank account but he donated 7% of it to charity. How much does Joe have in his bank account now?	Pick one
A) $588,660.60 B) $488,640.60 C) $488,600.60 D) $478,640.60 E) $348,660.60

Solution: Multiplier representing 7% = 7/100   = 7/100= 
7/100 = 7/100 = around 0.07
0.07   Percentage of money donated= 525,420 x 0.07   = 525,420 x 0.07   = 36,779.40   Now, we need to calculate how much is 36,779.40 subtracted from 525,420.   => 525,420-36,779.40 = 488,640.60   $488,640.60
Answer: B
If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following formula: S = n(n + 1)/2. Which one of the following statements about S must be true? Pick.
A) S is always odd. B) S is always even. C) S must be a prime number D) S must not be a prime number E) S must be a perfect square

Solution: If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following formula: S = n(n + 1)/2. Which one of the following statements about S must be true?   A. S is always odd.   B. S is always even.   C. S must be a prime number   D. S must not be a prime number   E. S must be a perfect square   Notice that we are askedwhich of the following MUST be true, not COULD be true. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.   A. S is always odd --> not necessarily true if n=3 then 1+2+3= 
1+2+3 = 6
6=even.   B. S is always even --> not necessarily true if n=5 then 1+2+3+4+5= 
1+2+3+4+5 = 15
15=odd.   C. S must be a prime number --> not true if n=3 then 1+2+3= 
1+2+3 = 6
6=not prime.   E. S must be a perfect square --> not necessarily true if n=3 then 1+2+3= 
1+2+3 = 6
6=not a perfect square.   Only choice D is left.   Answer: S must not be a prime number.
Answer: D
If 4x+y+z=80, 2x-y-z=400,3x+y-z = 20 for integers of x,y and z, find x =?  Choose the correct choice from the following choices:
A) 10 B) 20 C) 15 D) 26 E) 18

Solution: 4x+y+z = 80----------1)   2x-y-z = 40-------------2)   3x+y-z = 20 ------------3)   from 1) and 2)   6x = 120   x = 20   Answer is 20
Answer: B
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
Choose the correct choice:
A) 90	B) 70	C) 50	D) 80	E) 60

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   90nswer is 90.
Answer: A
A reading list for a certain course consists of 10 books, of which 6 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
Choices:  A) 90  B) 125  C) 130  D) 144  E) 195

Solution: Ans: 125   Solution: Selection requires at most 2 novels, means=   0N4P + 1N3P + 2N2P   4c0*6c4+ 4c1*6c3 + 4c2*6c2   = 15+ 20 + 90= 
15+ 20 + 90 = 125
125   Ans: 125
Answer: B
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?	Choose the most appropriate option:
A) 288	B) 350	C) 277	D) 2651	E) 212

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   Answer: 350
Answer: B
Tough and Tricky questions: Functions. Let a be a positive integer. Let n#a equal n^(2a) if a is odd and n^(a) if a is even. Then (2#3) + (3#2) – (3#3) is equal to  Choose the correct choice from the following answers
A) 64 B) -656 C) 128 D) 512 E) 1522

Solution: Answer:   2^6 + 3^2 - 3^6 = 2^6 = -656   ANs -656
Answer: B
Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 20 Km/hr. Find her average speed during the whole journey? Select: A) 30Km/hr B) 31.11Km/hr C) 35Km/hr D) 40Km/hr E) 45km/hr

Solution: Explanation:   Average speed = 2 xy/x+y   = 2*70*20/110   = 31.11 Km/hr   Answer: Option 31.11Km/hr
Answer: B
Rahul went to a shop and bought things worth Rs. 23, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Choose the correct choice from the following choices
A) 17.7	B) 20	C) 22	D) 21.4	E) 21.5

Solution: Total cost of the items he purchased = Rs.23   Given that out of this Rs.23, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (23−30/100−x)6/100 = 30/100   ⇒ 6(23 −0.3 −x) = 30   ⇒ (23 − 0.3 − x) = 5   ⇒ x = 23 − 0.3 − 5 = 17.7   17.7
Answer: A
Find the SI on Rs.2400 for 8yrs 4 months at 6% per annum rate of interest ?
Choose the correct choice from the following options.
A) Rs 1000
B) Rs 1200
C) Rs 1300
D) Rs 1400
E) Rs 1500

Solution: Time period is 8 years 4 months = 8   4   12   years =   25   3   years   Simple Interest =   PTR   100   = 2400 x   25   3   x   6   100   =Rs 1200   Rs 1200
Answer: B
The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people B who purchased only book A?
Choose the correct choice from the following answers: A) 250 B) 500 C) 750 D) 1000 E) 1500

Solution: This is best solved using overlapping sets or a Venn Diagram. We know that A = 2B, and that 500 people purchased both A and B. Further, those purchasing both was double those purchasing B only. This gives us 250 people purchasing B only. With the 500 that pruchased both, we have a total of 750 that purchased B and this is 1/2 of those that purchased A. So, 1500 purchased A. Less the 500 that purchased both, B=1000 purchased A only. (This is much simpler to solve using the Venn diagram).   Correct answer is D. 1000
Answer: D
65 bags of nuts are to be divided among 13 students. Each bag contains 15 nuts. How many
nuts will each student receive?	Choose the correct choice from the following choices.
A) 75  B) 65  C) 43  D) 52  E) 78

Solution: 65 ÷ 13 = 5 bags per student   5 x 15 = 75 nuts per student   correct answer 75
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?  Choose the correct choice from the following answers:
A) 4082.48  B) 4082.46  C) 4082.45  D) 4082.4  E) 4082.41

Solution: Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40   Answer:4082.4
Answer: D
Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum W of their ages will be 51, how old is Stephanie ? Choose the correct choice from the following answers:	A) 6	B) 10	C) 14	D) 20	E) 24

Solution: 1) take C (14y.o.), so mean that S=14, J=28, their sum itself is 42+10 years from now is 52, it is over the 51,   so eliminate C,D,E   2) take B (10y.o.),W= meaning S=10,J=20, so  20+10+10= 
 20+10+10 = 40
40 and for K=10-4/3=2+9= 
2+9 = 11
11, finally 40+11= 
40+11 = 51
51. It is correct   10
Answer: B
If a 5-digit numerical with local value of digits 3 is 300, 4 is 40000, 5 is 50, 6 is 6 and 7 is 7000, is multiplied by 7 then the difference between local value of 4 in the new numerical and the face value of 3 is	Choose the correct choice from the following choices.
A) 397
B) 2997
C) 49997
D) 697
E) 497

Solution: 397ccording to the given local values of the 5-digit number the number is 47356   Multiplying it with 7,   47356 x 7 = 331492   (Local value of 4 in 331492) - (Face value of 3) = 400 - 3= 
400 - 3 = 397
397   397
Answer: A
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choose one:
A) 7500	B) 2888	C) 2666	D) 2999	E) 2661

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2250   100%---------? => 7500   7500nswer:7500
Answer: A
6 friends are living in 6 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 6 parking spots. In how many ways can they park their cars so that exactly 4 people park their cars in the spots allotted to them?  Pick one
A) 15  B) 21  C) 35  D) 42  E) 49

Solution: 6C4 = 15   The remaining 2 people in each case will be parked in each other's parking spots.   The answer is 15.
Answer: A
Which of the following is not the square of an integer?
Choose one: A) 275625 B) 385641 C) 190096 D) 432562 E) 522729

Solution: The square of an integer (n^2) can have only the following units digit:   0, if the units digit of n is 0;   1, if the units digit of n is 1 or 9;   4, if the units digit of n is 2 or 8.   5, if the units digit of n is 5;   6, if the units digit of n is 6 or 4;   9, if the units digit of n is 3 or 7.   The square of an integer cannot have the units digit of 2, 3, 7, or 8.   The answer is 432562.
Answer: D
Rary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choose the correct choice from the following answers
A) $30  B) $35  C) $70  D) $105  E) $210

Solution: Rary spent 2⁄5 of her money on new clothes but if you see 21 is half of 3/5 money so 210 is too huge to be correct..   solution..   let the money be x..   2/5 is used...   1/2 of remaining 3/5 is put in savings account and remaining half is 21..   so 1/2 * 3/5 *x=21..   x=21*2*5/3=70..   $70
Answer: C
three men invested sum. and their ratio is 5:7:6. profit is 5400.then b's share	Choose the most appropriate option:
A) 2000
B) 2100
C) 2200
D) 2300
E) 2400

Solution: b's share =7/18*5400= 
7/18*5400 = 2_100
2100   ANSWER:2100
Answer: B
One woman and one man can build a wall together in four hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them eight hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?  Answers.
A) 5/7	B) 1	C) 10/7	D) 12/7	E) 24/7

Solution: Solution:Let work done by man, women and girl per hour be m,w,g respectively.   Then, m+w = 1/4-->(1) , w + 2g = 1/4-->(2) and m + g =1/8-->(3).   No. of hours it would take forone woman, one man, and one girl, working together, to build the wall,n = 1/m+w+g   From (1) and (2), m=2g and from (3) g=1/24,m=1/12 and w=1/6.   So, n = 1/(7/24) = 24/7   Option, 24/7
Answer: E
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?	Select: A) 1:28 B) 1:27 C) 1:18 D) 1:21 E) 1:12

Solution: r1 : r2 = 1:3   r13 : r23 = 1:27   Answer: 1:27
Answer: B
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 424 different signs. If the company used 422 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 424 signs?	Choose the correct choice
A) 246	B) 248	C) 1692	D) 15,128	E) 30,256

Solution: # of 2-letter codes possible from 424 different signs = 424*424.   # of 2-letter codes possible from 422 different signs = 422*422.   The difference = 424^2 - 422^2 = (424 - 422)(424 + 422) = 1692.   Answer: 1692.
Answer: C
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Select the correct option:
A) 299 B) 278 C) 289 D) 108 E) 271

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways.   Answer: 108
Answer: D
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choose the correct choice from the following answers
A) 3008
B) 3006
C) 3004
D) 3000
E) 3001

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   Answer: 3000
Answer: D
Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in. Options:
A) 22	B) 12	C) 88	D) 99	E) 77

Solution: The part of the tank filled by three pipes in one hour = 1/8   => The part of the tank filled by two pipes in 1 hour = 2/3 * 1/8 = 1/12.   The tank can be filled in 12 hours.   Answer:12
Answer: B
Look at this series: 201, 202, 204, 207, ... What number should come next?
Choose the correct choice from the following answers
A) 211	B) 205	C) 224	D) 267	E) 269

Solution: In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.   211NSWER 211
Answer: A