MU-NLPC/Calc-aqua_rat huggingface dataset:
A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.	Choose one: A) Rs 662 B) Rs 662.01 C) Rs 662.02 D) Rs 662.03 E) None of these

Solution: Explanation:   =[200(2120×2120×2120)+200(2120×2120)+200(2120)]=662.02   Answer: Rs 662.02
Answer: C
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1480 will be:  Choices
A) Rs. 300  B) Rs. 200  C) Rs. 240  D) Rs. 400  E) None of these

Solution: Z share = Z,   Y = 1.2Z   X = 1.25Ã—1.2Z,   X+Y+Z =1480   (1.25Ã— 1.2+1.2+1)Z=1480   3.7Z=1480, Z=400   Answer: . Rs. 400
Answer: D
A,B,C and D play a game of cards. A says to B "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has". If B and D together have 50 cards, how many cards have A got?
Options:
A) 40 B) 37 C) 23 D) 27 E) 29

Solution: Explanation :   According to the question, following are the equations we get :-   B+8=C ---(i)   A−8=C–3 ---(ii)   A+6=2D ---(iii)   B+D=50 ---(iv)   On solving these equations, we get the value of A is 40 i.e A have 40 cards.   40nswer : 40
Answer: A
How many mashes are there in 1 squrare meter of wire gauge if each mesh
is 8mm long and 5mm wide ?	Choose the correct answer: A) 2500 B) 25000 C) 250 D) 250000 E) 25

Solution: One square meter is equal to 1000000 sq mm.   Given, each mesh is 8mm and 5mm wide   Therefore for each mesh : 8*5= 
8*5 = 40
40 sq mm.   So, simply   1000000/40= 
  1000000/40 = 25_000
25000   ANSWER:25000
Answer: B
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?	Choices.
A) 23 years  B) 24 years  C) 25 years  D) None of these  E) 18 years

Solution: Let the average age of the whole team by x years.   11x - (26 + 29) = 9(x -1)   11x - 9x = 46   2x = 46   x = 23.   So, average age of the team is 23 years.   23 yearsnswer: Option 23 years
Answer: A
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?	Options:
A) 10 sec B) 16 sec C) 13 sec D) 67 sec E) 13 sec

Solution: RS = 60 -40= 
60 -40 = 20
20 * 5/18= 100/18   T = 50   D = 50 * 100/18 = 2500/9   RS = 60 + 40= 
60 + 40 = 100
100 * 5/18   T= 2500/9 * 18/500= 
2500/9 * 18/500 = 10
10 sec   10 secnswer: 10 sec
Answer: A
Find the one which does not belong to that group ?
Pick one
A) 237 B) 232 C) 223 D) 426 E) 111

Solution: Explanation:   525 => 5 52,   39 => 3 32,   24 => 2 22,   636 => 6 62. The above pattern is not followed in 426.   Answer: 426
Answer: D
A dishonest dealer professes to sell goods at the cost price but uses a weight of 650 grams per kg, what is his percent?	Pick:
A) 15%
B) 25%
C) 65%
D) 53.8%
E) 35%

Solution: Explanation:   650 --- 350   100 --- ? => 53.8%   Answer: 53.8%
Answer: D
If r and b are positive numbers, and r^3 + b^3 = 75, then the greatest possible value of r is between:  Choose the most appropriate option:  A) 0 and 3  B) 3 and 5  C) 4 and 5  D) 5 and 7  E) 6 and 9

Solution: Yes the question is ambiguous, and the answer is certainly not C between 4 and 5 .   The question stated: r and b are positive numbers but not positive integers.   so fractions are allowed to be a part of calculation.   So if the answer is C then the value 4.5 = 9/2 must comply the equation.   (9/2)^3 + b^3 = 75   so, b^3 = -129/8 , which is not possible according to the question.   Moreover the question didn't mentioninclusive or not, so we can't assume that b is 4 .   hi asif,   question is correct IMO.   Sincemaximumvalues areuniqueso you cant take any value and make it satisfy with equation   question is asking that maximum value ofa(means that unique value ofa) is between...   its not saying all value of that range will satisfy.
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?	Choose the most appropriate option:
A) 6.25  B) 6.5  C) 6.75  D) 7  E) 5

Solution: Required run rate = (282 - (3.2 x 10))/40	=	250/40= 
250/40 = 25/4 = around 6.25
6.25   6.25nswer : 6.25
Answer: A
If two integers x,y (x>y) are selected from -4 to 4 (inclusive), how many cases are there?
Choices.
A) 27	B) 30	C) 33	D) 36	E) 39

Solution: There are 9 integers from -4 to 4 inclusive.   9C2 = 36.   The answer is 36.
Answer: D
Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?  Choose the correct choice from the following answers:
A) 1324 B) 1456 C) 1567 D) 3334 E) 2346

Solution: If sum of the digits is divisible by 3, the number is divisible by 3.   Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.   Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).   Count of such numbers =   9999   3   =   3333   99993=3333   But zero is also divisible by 3.   This makes our total count 3334   3334
Answer: D
In the third grade of Windblown School there are 84 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests? Choose the correct choice from the following answers:
A) 0.
B) 6.
C) 8.
D) 10.
E) 12.

Solution: Total = 84   failed in math = 84/3= 
84/3 = 28
28   failed in literature=84/6= 
84/6 = 14
14   the least failed in both can be 0   while max can be 14   0.nswer 0.
Answer: A
At The KHOOL Company, high quality and low quality solar reflecting sunglasses are made, where 70 percent of the sunglasses made are high quality and 25 percent are low quality (defective sunglasses are tossed away into the recycle bin, but must be counted as product produced). If there are 50 sunglasses made per day that are defective and can't be sold as low or high quality sunglasses, how many sunglasses does The KHOOL Company make total per day?	Options:
A) 100 B) 1,800 C) 1,090 D) 200 E) 1,000

Solution: Let the total number of sunlasses produced be x   % of high quality sunglasses = 70%   % of low quality sunglasses = 25%   % of sunglasses defective = 100% - 95% = 5%   But this number is given as 50   so 5% of x 100  - 95= 
100  - 95 = 5
5%   But this number is given as 50   so 5% of x= 50 and x = (50)(100/5))   x = 180   Therefore there a total of 1,000 sunglasses made per day.   Correct answer - 1,000
Answer: E
A boat can move upstream at 30 kmph and downstream at 35 kmph, then the speed of the current is?  Choose the correct choice from the following
A) 5
B) 2.5
C) 7
D) 4
E) 32

Solution: US = 30   DS = 35   M = (35 - 30)/2= 
(35 - 30)/2 = 5/2 = around 2.5
2.5   Answer: 2.5
Answer: B
Ram and Shyam can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Select
A) 29 B) 28 C) 27 D) 26 E) 25

Solution: Together they complete the job in 20 days means they complete 12/20 of the job after 12 days.   Peter completes the remaining (8/20) of the job in 10 days which means that the whole job(1) can be completed in X days.   <=> 8/20->10 <=> X=10/(8/20)= 
10/(8/20) = 25
25   25
Answer: E
Find the missing in the series: 70, 54, 44, 41,___	Choose the correct choice from the following options
A) 22  B) 287  C) 2679  D) 2767  E) 277

Solution: Answer:277
Answer: E
If y is the smallest positive integer such that 8820 multiplied by y is the square of an integer, then y must be  Choose one:	A) 2	B) 5	C) 6	D) 7	E) 14

Solution: 8820 = 2^2*3^2*5*7^2   To be perfect square, we need to multiply by at least 5.   The answer is 5.
Answer: B
A certain high school has 500 students. Of these students, 30 are taking music, 10 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art? Choose the correct choice from the following answers: A) 430 B) 440 C) 450 D) 460 E) 470

Solution: We're given a series of facts to work with:   1) A certain high school has 500 students.   2) Of these students:   X are taking music,   Y are taking art, and   Z are taking BOTH music and art.   We're asked how many students are taking NEITHER music nor art?   Let's TEST   X = 30   Y = 10   Z = 10   So, we have 30 students taking music, 10 taking art and 10 taking BOTH music and art.   20 student taking JUST music   0 student taking JUST art   10 student taking BOTH music and art   Total = 30 students   We're asked for the total number of students who are taking NEITHER Course. That is 500 - 30= 
500 - 30 = 470
470.   470
Answer: E
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?	Select the correct option:  A) 38  B) 48  C) 27  D) 21  E) 20

Solution: B = 1/16 – 1/24 = 1/48 => 48 days . Answer: 48
Answer: B
Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22,20,27,23 (....) Answers:
A) 27
B) 20
C) 22
D) 24
E) 26

Solution: There are two series (8, 11, 14, 17, 20,23,26) and (7, 12, 17, 22,27) increasing by 3 and 5 respectively.   answer : 26
Answer: E
In measuring the sides of a rectangle, one side is taken 16% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.	Select:
A) 3.5%
B) 2.4%
C) 10.2%
D) 5%
E) 2.6%

Solution: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.   Now, the area obtained with wrong measurements would be 116*95=11,020, which is 10.2% greater than the actual area.   Answer: 10.2%.
Answer: C
The sale price shirts listed f or Rs.400 after successive discount is 10% and 5% is?	Pick
A) 280  B) 290  C) Rs.342  D) 250  E) 253

Solution: 400*(90/100)*(95 / 100)= 
400*(90/100)*(95 / 100) = 342
342   Rs.342
Answer: C
Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
Choose the correct choice:	A) 240/1577	B) 240/1527	C) 240/1547	D) 240/1518	E) 240/1273

Solution: P : 2/13 = 5/34 : 7/48   As the product of the means is equal to the product of the extremes.   P*7/48 = 2/13 * 5/34   P*7/48 = 10/442   P = 480/3094 => P = 240/1547   Answer:240/1547
Answer: C
In a certain parking lot, 10% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?	Choose the most appropriate option.
A) 30%
B) 40%
C) 50%
D) 60%
E) 70%

Solution: Let x be the number of cars and let y be the number of cars parked illegally.   10%*x = 20%*y   y/x = 1/2 = 50%   The answer is 50%.
Answer: C
There are 12 red shoes, 7 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe Pick:  A) 11/19  B) 12/19  C) 15/19  D) 14/19  E) 2/3

Solution: total 19 from take one.   19c1=19   red 12 from one   12c1=12   12/19   ANSWER:12/19
Answer: B
If inflation increases at a rate of 8 p.c.p.a. what will a 20 article cost at the end of two years? Choose one.
A) Between 20 and 21
B) Between 21 and 22
C) Between 22 and 23
D) Between 23 and 24
E) None of these

Solution: Required sum   = 20(1+8/100)2=20×27×27/25×25=23.3   Answer Between 23 and 24
Answer: D
If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?	Choose the correct choice from the following options:
A) 22 1/7 %  B) 22 3/2 %  C) 21 3/7 %  D) 22 1/2 %  E) 22 1/2 %

Solution: 9 = (1*42*R)/100   R = 21 3/7 %   Answer:21 3/7 %
Answer: C
Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pencil.  Choose the correct choice from the following answers:
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: 1 pen cost x,let 1 pencil cost y   2x+3y=86, ...y=(86-2x)/3   again,   4x+y=112   4x+(86-2x)/3=112   12x+86-2x=336   10x=250   x=25,   y=(86-50)/3= 
(86-50)/3 = 12
12   ANSWER:12
Answer: C
The remainder obtained when a prime number greater than 4 is divided by 4 is  Choose one:
A) a) 1 or 3
B) b) 1 or 5
C) c) 3 or 5
D) d) 4 or 5
E) e) 5

Solution: The easiest way to answer this question is probably to pick numbers. Use the next two prime numbers greater than 4, i.e. 7 and 5:   7/4 = 1 + remainder of 3   5 / 4 = 1 + remainder of 1   This is already sufficient to see that answer choice a) is correct.   a) 1 or 3
Answer: A
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs, find his highest score.
Select the correct option:
A) 184
B) 367
C) 269
D) 177
E) 191

Solution: Explanation:   Total runs scored by the batsman = 60*46= 
60*46 = 2_760
2760 runs   Now excluding the two innings the runs scored= 58*44= 
58*44 = 2_552
2552 runs   Hence the runs scored in the two innings= 2760 â€“ 2552 = 208 runs.   Let the highest score be x, hence the lowest score = x â€“ 160   x + (x - 160) = 208   2x = 368   x = 184 runs   184NSWER: 184
Answer: A
If r and s are positive integers and r-s=6, which of the following has the greatest value J?
Choose the correct choice from the following choices:
A) 2r
B) 2s
C) r +s
D) 2r-s
E) 2s-r

Solution: You can answer this question by using Number Properties and logic or by TESTing VALUES.   We're told that R and S are POSITIVE INTEGERS and that R-S = 6. We're asked which of the 5 answers has the GREATEST value.   IF....   R = 8   S = 2   2rnswer 2r: 2R = 2(8) = 16   2rnswer B: 2S = 2(2) = 4   2rnswer C: R+S = 8+2= 
8+2 = 10
10   2rnswer D: 2R-S= 2(8) - 2 = 14   2rnswer E: 2S-R = 2(2) - 8 = -4   Final 2rnswer:   2r
Answer: A
It takes 35 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?  Choose the correct choice from the following choices.
A) 14  B) 15  C) 16  D) 18  E) 20

Solution: 35 printing presses can do 1/12 of the job each hour.   30 printing presses can do 6/7*1/12 = 1/14 of the job each hour.   The answer is 14.
Answer: A
Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation? Choose the correct choice from the following.
A) $21,000  B) $12,000  C) $15,000  D) $ 4,500  E) $4,000

Solution: sometime, setting up an equation is an easy way to go with:   300 + 0.06 (x - 1000) = 0.08 x   x = 12,000   Ans : $12,000
Answer: B
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Options
A) 1/3
B) 1/5
C) 2/5
D) 3/7
E) 4/9

Solution: P (E) = 30 / 100 = 3 / 10 , P (H) = 20 / 100 = 1 / 5 and P (E ∩ H) = 10 / 100 = 1 / 10   P (E or H) = P (E U H)   = P (E) + P (H) - P (E ∩ H)   = (3 / 10) + (1 / 5) - (1 / 10) = 4 / 10 = 2/5   2/5
Answer: C
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?  Choices
A) 117 Kmph B) 178 Kmph C) 172 Kmph D) 108 Kmph E) 109 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 600/20= 
600/20 = 30
30 M/Sec   Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 108 Kmph   Answer: 108 Kmph
Answer: D
The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 72, what is the value of x?  Choose the correct choice from the following options:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: The areas are (x+4)^2 and (2x-7)^2.   The lengths of the sides are x+4 and 2x-7.   If we add the two perimeters:   4(x+4) + 4(2x-7) = 72   12x = 84   x = 7   The answer is 7.
Answer: E
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?	Pick one:
A) 124545 m  B) 134561 m  C) 156787 m  D) 15450 m  E) 153600 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: E
A rectangular tiled patio is composed of 30 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 30 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?  Choices.
A) 5
B) 6
C) 10
D) 13
E) 28

Solution: Suppose there are c columns and there are r rows   Original Situation   So, Number of tiles = c*r = 30   Also. Reach column has r tiles and each row has c tiles   New Situation   Number of tiles in each column is r-2 and number of tiles in each row is c+4   So, number of rows = r-2 and number of columns is c+4   So, Number of tiles = (r-2)*(c+4) = 30   Comparing both of them we get   c*r = (r-2)*(c+4)   => 4r -2c = 8   c = 2r - 4   Putting it in c*r=30   (2r-4)*r = 30   2r^2 - 4r - 30=0   r cannot be negative so r =5   and c = 6   So, 5nswer will be 5
Answer: A
If 1+2+3+...+n=n (n+1), then
2 (1+3+5+....+89)=?
Options: A) 4100 B) 4050 C) 4250 D) 4350 E) 4450

Solution: Explanation :   To solve this use the formula of AP,   Sn= (n/2)(a+l) ................(1)   To find n, use   => Tn= a+(n-1)d   => 89=1+(n-1)2   => n=45   Use value of n in (1)   then,   Sn = (45/2)(1+89) = 2025   Ans:- 2(Sn) = 4050   Answer : 4050
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Pick one.
A) 186 m  B) 176 m  C) 872 m  D) 150 m  E) 765 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150 m
Answer: D
There are 9 days of school left. Cassie has $50. How much money does Cassie's mom need to give her in order for Cassie to spend $6 on lunch for each of the nine remaining school days?  Select the correct option
A) $1 B) $2 C) $4 D) $6 E) $8

Solution: For Cassie to spend $6 a day for nine days, she must multiply 9 days by $6 = $54. $54 minus $50 = $4. Hence the answer : $4.
Answer: C
John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold? Answers.
A) 50.4%
B) 23.8%
C) 66.5%
D) 34.9%
E) 43.5%

Solution: Let N be the total number of books sold. Hence   N = 75 + 50 + 64 + 78 + 135= 
75 + 50 + 64 + 78 + 135 = 402
402   Let M be the books NOT sold   M= 1200 - N = 1200 - 402= 
1200 - 402 = 798
798   Percentage   Books not sold / total number of books= 798/1200= 
798/1200 = 133/200 = around 0.665
0.665= 66.5%   correct answer 66.5%
Answer: C
The proportion of water to alcohol in Solution A is 2:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?  Choose the correct answer:  A) 46.7%  B) 47.3%  C) 48.4%  D) 50.6%  E) 51.8%

Solution: Let V be the total volume of the new solution.   Then a volume of V/2 was added from each solution A and B.   The amount of alcohol added to the new solution was:   (1/3)(V/2)+(3/5)(V/2)=V/6+3V/10=14V/30=7V/15.   The concentration of alcohol is 7/15=46.7%   The answer is 46.7%.
Answer: A
Three numbers are in the ratio 3:5:7. The largest number value is 49. Find difference between Smallest & largest number is? Choose the correct choice.
A) 20
B) 24
C) 26
D) 28
E) 30

Solution: == 3:5:7   Total parts = 15   = The largest number value is 49   = The largest number is = 7   = Then 7 parts -----> 49 ( 7 * 7 = 49 )   = smallest number = 3 & Largest number = 7   = 28ifference between smallest number & largest number is = 7 - 3= 
7 - 3 = 4
4= Then 4 parts -----> 28 (4 * 7 = 28)   28
Answer: D
A girlscout is selling cookies in her neighborhood. She has a goal to sell $150 worth of cookies. Each box costs $2.50 each. How many boxes will she need to sell in order to reach 75% of her goal? Select the correct option:
A) 25
B) 35
C) 50
D) 40
E) 45

Solution: 150*.75= 
150*.75 = 112.5
112.50= dollar amount to reach 75 percent of her goal     112.50/2.50= 
  112.50/2.50 = 45
45= amount of.boxes to sell   The answer is 45.
Answer: E
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.8 per box per month for the record storage, what is the total amount that the company pays each month for record storage?	Choose the most appropriate option:
A) a. 480
B) b. 300
C) c. 600
D) d. 410
E) e. 240

Solution: Volume Per Box: 15x12x10 = 1,800   Total Volume: 1,080,000   Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600   Price Per Month: Number of Boxes * Price Per Box = 600 * 0.8= 
600 * 0.8 = 480
480   a. 480nswer: a. 480
Answer: A
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is? Choose the most appropriate option
A) 86% B) 56% C) 96% D) 98% E) 95%

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   Answer:96%
Answer: C
The area of a parallelogram is 450sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choose one.
A) 8
B) 9
C) 7
D) 6
E) 15

Solution: 2x * x = 450 => x= 15   Answer: 15
Answer: E
The number 0.127 is how much greater than 1/8 ?
Answers.
A) 1/100 B) 1/1500 C) 1/2 D) 1/500 E) 1/600

Solution: Explanation:   0.127 expressed as a fraction = 127/1000   1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000   The difference is 2/1000, which is 1/500   ANSWER IS 1/500
Answer: D
What quantity of water should be added to reduce 9 liters of 50% acidic liquid to 30% acidic liquid? Choices:
A) 6liters  B) 8liters  C) 10liters  D) 12liters  E) 15liters

Solution: Acid in 9 liters = 50% of 9 = 4.5 liters   Suppose x liters of water be added.   Then 4.5 liters of acid in 9+x liters of diluted solution   30% of 9+x = 4.5   27+3x = 45   x = 6liters   6litersnswer is 6liters
Answer: A
The average salary of workers in an industry is Rs.300 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?  Choose the correct choice from the following answers
A) 230
B) 234
C) 250
D) 547
E) 484

Solution: 400 125   \ /   300   / \   175 100   7:4   7->150   11->?   =>234   ANSWER:234
Answer: B
The edges of three metal cubes are 1 cm, 2 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)? Choose the correct choice from the following answers:
A) 3.8	B) 4.2	C) 4.6	D) 5.0	E) 5.4

Solution: The total volume is 1^3+2^3+4^3=73   The edge of the new cube is the cube root of 73 which is about 4.2 cm.   The answer is 4.2.
Answer: B
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is?  Choose the correct choice from the following answers.
A) 2888 B) 2000 C) 7768 D) 1551 E) 1991

Solution: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.   Then, 4x + 9y = 13400 -- (i)   And, 10% of 4x + 20% of 9y = 1880   2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)   Solving (i) and (ii), we get : x = 2000 and y = 600.   Cost price of each horse = Rs. 2000.   Answer:2000
Answer: B