MU-NLPC/Calc-aqua_rat huggingface dataset:
Statement: According to a survey, the current water reservoir will deplete by 50% by 2050
Action:
I. Government of all the countries should appeal to all the citizens to use water carefully and avoid wastage.
II. Scientists should start finding an alternative solution to water.  Pick one: A) Only I follows B) Only II follows C) Either I or II follows D) Neither I nor II follows E) Both I and II follow

Solution: Explanation:   Second option is not at all justifiable. Water is a basic necessity for survival. So, wasting money and efforts for finding something which doesn’t even exist makes no sense. 2nd option would have been a good and preferable option if it would have been something other than water like petrol or any such thing.   Only I followsNSWER IS Only I follows
Answer: A
The ratio of the cost price and the selling price is 4:5. The profit percent is:	Choose the most appropriate option:	A) 10%	B) 20%	C) 25%	D) 30%	E) 40%

Solution: Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x   Gain = (5x - 4x) = Rs. x   Gain % = (x * 100)/ 4x = 25%.   ANSWER:25%
Answer: C
Which of the following is true about 0<|x|-3x<5?  Select the correct option
A) -1<x<0
B) 0<x<1
C) 1<x<2
D) 2<x<3
E) 3<x<4

Solution: when can be |x|-4x be greater than 0..   NEVER when x is positive..   ONLY A is left..   you can also substitute any value within the given range to check for answer   Example - put x as -0.5 for A. -1<x<0..   so |x|-3x = |-0.5|- 3*(-0.5) = 0.5+15. = 2 and it satisfies 0<|x|-4x<5   -1<x<0
Answer: A
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 44 years now, the son's age 10 years back was:  Choices
A) 10 years.  B) 14 years.  C) 17 years.  D) 16 years.  E) 12 years.

Solution: Let the son's present age be x years. Then, (44 - x) = x   2x = 44.   x = 22   Son's age 10 years back (22 - 10)= 
(22 - 10) = 12
12 years.   ANSW12 years.R :12 years.
Answer: E
If x is negative and y is positive, which of the following cannot be positive?  Answers:
A) x^2+y	B) x/-y	C) x/y	D) -xy	E) x^4+y

Solution: -/+ = - x/y is not positive   Answer : x/y
Answer: C
There are 10 books on a shelf: 6 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages? Options.
A) 31/90 B) 3/10 C) 4/5 D) 31/45 E) 28/90

Solution: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)   Favourable Outcomes   Case-1: One book is English (out of 6 English books) and one book is Spanish (out of 3 Spanish books) i.e. 6C1*3C1   Case-2: One book is Spanish (out of 3 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 3C1*2C1   Case-3: One book is English (out of 6 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 6C1*2C1   Total favourable Outcomes = 6C1*3C1+3C1*2C1+6C1*2C1 = 18+6+12= 
18+6+12 = 36
36   Total Possible Outcomes= 10C2 = 45   i.e. Probability = 36/45=4/5   4/5
Answer: C
A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?	Choose the most appropriate option: A) 15 boys B) 8 boys C) 10 boys D) 11 boys E) None of these

Solution: Man’s two day’s work = 2 × 1⁄20 th work = 1⁄10 th work   Woman’s two days’s work   = 2 × 1⁄30 th work = 1⁄15 th work   Boy’s two day’s work = 2 × 1⁄60 th work = 1⁄30 th work   Now, let 2 men, 8 women and x boys can complete work in 2 days. Then ,   2 men’s work + 8 women’s work + x boy’s work = 1   2(1⁄10) + 8(1⁄15) + x(1⁄30) = 1   ⇒ x = (1 - 1⁄5 - 8⁄15) × 30 ⇒ x = 8 boys   Answer 8 boys
Answer: B
An amount of Rs.20,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?  Choose the correct choice from the following options
A) Rs. 5000
B) Rs. 4570
C) Rs. 2750
D) Rs. 2950
E) None of these

Solution: Explanation:   We have, P = 2Q & S = 4R   Further Q = R & P + Q + R + S = 20,000   Thus we get, 2Q + Q + Q + 4Q = 20,000   8Q = 20,000 or Q = Rs. 2500   Thus, R = Rs. 2500, P = 5000 & S = Rs. 10000   Hence, the required difference = (S – P) = (10000 – 5000) = Rs. 5000   Rs. 5000NSWER:Rs. 5000
Answer: A
How many multiples of 3 are there between 10 and 100, exclusive ? Choose the correct choice from the following choices:
A) 30
B) 29
C) 28
D) 31
E) 33

Solution: 3 * 4= 
3 * 4 = 12
12   3 * 33= 
3 * 33 = 99
99   Total multiples= (33 - 4) + 1= 
(33 - 4) + 1 = 30
30   Exclude 10 and 100= 30   30nswer is 30
Answer: A
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 3 and that the product of the given number and the sum of its digits is equal to 517, then the number is:	Choose the correct choice from the following answers
A) 14	B) 36	C) 47	D) 58	E) 63

Solution: Let the ten's digit be x. Then, unit's digit = x + 3. Number = 10x + (x + 3) = 11x + 3   (11x + 3)(2x + 3) = 517   22(x)(x)+ 39x- 508 = 0   (x - 4)(22x + 127) = 0   x = 4   Hence, required number = 11x + 3 = 47.   ANSWER:47
Answer: C
There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 9,100 milk chocolates per month, what was it one month ago?  Options.
A) 10,000 chocolates
B) 9000 chocolates
C) 8000 chocolates
D) 7000 chocolates
E) None of these

Solution: Let one month ago, production be x chocolates.   Then, 130 % of x = 9100   ⇒ x = 9100×100/130=7000 chocolates   Answer 7000 chocolates
Answer: D
Which of the following cannot be the range of a set consisting of 5 odd multiples of 13?  Pick:
A) 52 B) 100 C) 104 D) 208 E) 416

Solution: Solution: sequence of 13 lets say sequence is 13n, 13(n+1), 13(n+2), 13(n+3), 13(n+4)   so range is 13n+52-13n = 52   if we put the different values of n we will get different but the range will be multiple of 52   and only 100 is not multiple of 52   Answer : 10013 +52-13= 
13 +52-13 = 52
52   if we put the different values of n we will get different but the range will be multiple of 52   and only 100 is not multiple of 52   Answer : 100
Answer: B
A and B started a business with an investment of Rs.26000 and Rs.28000. After two months C joined in the business with an investment of Rs.32000, what is share of C in the half year profit of Rs.9040 ? Choose the correct choice from the following answers.
A) Rs.3360	B) Rs.3120	C) Rs.2940	D) Rs.2560	E) Rs.3550

Solution: Investment x Time.   A = 26000 x 6 = 156000.   B = 28000 x 6 = 168000.   C = 32000 x 4 = 128000.   Ratio of shares A : B : C = 39 : 42 : 32 = [ Total 113 units ]   Share of C in the profit = 9040 × 32 / 113 = 2560   Option Rs.2560
Answer: D
A shopkeeper has 280 kg of apples. He sells 40% of these at 10% profit and remaining 60% at 30% profit. Find his % profit on total.	Choose the correct answer.
A) 22% B) 25% C) 26% D) 28% E) 35%

Solution: If the total quantity was 100   Then 40X 10% + 60 X30%= 22   This profit will remain same for any total quantity unless the % of products remains the same. Hence '22%' is the answer
Answer: A
There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure y in inches of the width of the foil covered prism? Select the correct option.
A) 4	B) 6	C) 8	D) 9	E) 10

Solution: If the width is w, then length and height would be w/2.   So, w*w/2*w/2 = 128 => w^3 = (2^3)*64 = (2^3) * (4^3)   => w = 2*4= 
2*4 = 8
8 in.   Along the width of the cuboid, 8 cubes don't touch the tin foil. So the actual width will be non-touching cubes + touching cubes= 8 +2 =y=10   Ans 10.
Answer: E
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $900?
Choose the most appropriate option
A) $3,000 B) $3,150 C) $4,000 D) $4,150 E) $5,000

Solution: We're told that a sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. We're asked how many dollars’ worth of sales will bring her total weekly income to $900.   Since the salesperson receives a $150 salary, the remaining $750 has to be accounted for by the 15% commission. Since those numbers are rather specific, we're likely dealing with a 'round number' for total sales.   Let's TEST Answer C: $4,000   Since 15% of $1,000 = $150   15% of $4,000 = 4($150) = $600   This is TOO HIGH (it's supposed to be $450), so we need a LOWER total sales figure.   Let's TEST Answer E: $5,000   Since 15% of $1,000 = $150   15% of $5,000 = 5($150) = $750   This is an exact MATCH for what we were told, so this MUST be the answer.   Final Answer:   $5,000
Answer: E
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?	Select the correct option:
A) 18/35 B) 18/39 C) 18/128 D) 18/30 E) 18/32

Solution: Explanation:   If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35 = 18/35   18/35nswer:18/35
Answer: A
Machine X takes 10 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce  Choices:  A) 100  B) 65  C) 25  D) 11  E) 18

Solution: Machine Y produces 20 percent more widgets in an hour than machine x does in an hour.   So if machine X produces 100 widgets, then machine Y produces 120 widgets.   Ratio of 120/100 = 6/5.   This is their speed of work (Y:X).   i.e. speed of their work (X:Y) = 5/6   Now, time is inversely proportional to speed.   Hence the ratio of the time spent (X:Y)= 6/5   Let us assume that they spend 6x and 5x hours.   Given that 6x-5x = 10   So, x = 10.   Hence 6x = 6*10= 
6*10 = 60
60 hours.   Hence X takes 120 hours to produce 1080 widgets.   So, in 1 hour, it can produce  (1 * 1080)/60= 
 (1 * 1080)/60 = 18
18   Hence option (18).
Answer: E
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Pick:
A) 277 sec
B) 190 sec
C) 667 sec
D) 167 sec
E) 176 sec

Solution: Time taken by B run 1000 meters = (1000 * 10)/50= 
(1000 * 10)/50 = 200
200 sec.   Time taken by A= 200 - 10= 
200 - 10 = 190
190 sec.Answer: 190 sec
Answer: B
In a race of length L metres, Johnson beats Lewis by P metres and Greene by Q metres, By how many metres does Lewis beat Greene in the same race ? (P<Q)	Choose the correct choice from the following answers
A) L(L-Q) / L-P B) L(Q-P) / L-P C) L-Q D) P-Q E) P+Q

Solution: As the time is constant, the ratio of distances will be the same as the ratio of speeds.   If Sj,Sl,Sg are the speeds of Johnson, Lewis, and Greene respectively, then   Sj/Sl = L/(L-P)   and Sj/Sg = L/(L-Q)   => Sg/Sl = (L-Q)/(L-P)   Therefore the speeds of Lewis and Greene are in the ratio (L-P)/(L-Q)   When Lewis finishes the race, the time run by him and Greene are same   => The ratio of the speeds of Lewis and Greene will be the same as the ratio of distances run by them.   => Distance run by Greene when Lewis finishes the race = (L-Q)/(L-P) * L   => Lewis beats Greene by L - L*(L-Q)/(L-P) = L [ 1 - (L-Q)/(L-P)] = L (Q-P) / (L-P)   Option (L(Q-P) / L-P) is therefore correct.
Answer: B
The age of father 5 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choose the correct option:	A) 5 : 4	B) 7 : 4	C) 5 : 2	D) 5 : 3	E) 7 : 5

Solution: Let the ages of father and son 5 years ago be 4x and x years respectively.   Then, (4x + 5) + 5= 2[(x + 5) + 5]   4x + 10 = 2x + 20   x = 5.   Required ratio = (4x + 5) : (x + 5) = 25: 10= 5 : 2.   Answer: Option 5 : 2
Answer: C
A baker filled with a measuring cup with 1/2 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choose the correct choice from the following choices
A) 1/8 cup	B) 3/8 cup	C) 1/4 cup	D) 1/2 cup	E) 5/8 cup

Solution: 1/2 is the original water in cup .half in batter.So left is 1/4 out which 1/8 is spilled out.So again left with 1/8.   so 50% more than what he started was = 1/2+1/2*(1/2)=3/4   Amount of water needed to add = 6/8 - 1/8=5/8   5/8 cup
Answer: E
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares Choose the correct choice:
A) 22 cm	B) 24 cm	C) 26 cm	D) 28 cm	E) None of these

Solution: Explanation:   We know perimeter of square = 4(side)   So Side of first square = 40/4= 
40/4 = 10
10 cm   Side of second square= 32/4= 
32/4 = 8
8 cm   Area of third Square= 10*10 - 8*8= 
10*10 - 8*8 = 36
36 cm   So side of third square= 6 [because area of square = side*side]   Perimeter = 4*Side = 4*6= 
4*6 = 24
24 cm   Option 24 cm
Answer: B
If the price of a certain bond on May 1st was 3/4 the price of the bond on June 1st and the price of the bond on July 1st was 50% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?	Choose the correct choice from the following:  A) 50%  B) 114.28%  C) 120%  D) 133 1/3%  E) 150%

Solution: The price on June 1st = 12 (assume);   The price on May 1st = 3/4*12= 
3/4*12 = 9
9;   The price on July 1st= 8*1.5= 
8*1.5 = 12
12.   The average price of the bond on May 1st and July 1st= (9+12)/2 = 10.5.   The price of the bond on June 1st (12) is 24/21 times (114.28%) the average price of the bond on May 1st and July 1st.   Answer: 114.28%.
Answer: B
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.2.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?	Choose the correct choice from the following options:
A) s.1014 B) s.1140 C) s.999 D) s.1665 E) s.1020

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 2.5= 
666 * 2.5 = 1_665
1665   ANSWER:s.1665
Answer: D
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1806 miles? Choose the correct choice from the following options.
A) Two hours and 30 minutes.  B) One hour and 10 minutes.  C) Two hours and 25 minutes.  D) Three hours and 0 minutes.  E) Four hours and 20 minutes.

Solution: Answer is D. Three hours and 0 minutes.   Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower)   So time before collision is total distance / total speed = 1806/602= 
1806/602 = 3
3 hours and 00 mins
Answer: D
How long will a man take to go, walking at 4 km per hour, twice round a circular garden of 70 m radius	Choose the correct choice from the following:  A) 11  B) 28  C) 26  D) 18  E) 111

Solution: Answer:28
Answer: B
In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, ?, 14, 23, 34, 47  Select the correct option.
A) 31  B) 7  C) 36  D) 31  E) 33

Solution: B   7   The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Answer: B
The average of first ten prime numbers which are odd is?
Select the correct option:
A) 15.2
B) 15.7
C) 15.4
D) 15.8
E) 15.5

Solution: Sum of first 10 prime no. which are odd = 158   Average = 158/10= 
158/10 = 79/5 = around 15.8
15.8   Answer:15.8
Answer: D
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choose the correct option:
A) 30 B) 32 C) 34 D) 31 E) 35

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer: Option 35
Answer: E
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ? Choose the correct choice from the following choices: A) 2hours a day B) 7hours a day C) 6hours a day D) 3hours a day E) 2hours a day

Solution: Explanation:   More Men, Less Hours {Indirect Proportion}   Less Days, More Hours {Indirect Proportion}   \inline {\color{Blue} \begin{bmatrix} Men &15 & 10\\ Days &12 & 18 \end{bmatrix}::6:x}   => x * 15 * 12 = 10 * 18 * 6   => x = (10 *18 *6)/(12*15)   =>x = 6   Answer: 6hours a day
Answer: C
By selling a house for Rs.72000, it was found that 1/5 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c? Options:
A) 38020	B) 57000	C) 38028	D) 38019	E) 38192

Solution: CP + CP/5 = 72000   CP = 60000   SP = 60000*(95/100)= 
60000*(95/100) = 57_000
57000   Answer: 57000
Answer: B
How many negative numbers are there in an alternating sequence of positive and negative numbers, if the sequence contains b numbers, where b is an odd number greater than 12. The first number of the sequence is a negative number.
Choose the correct choice from the following options:  A) (b-1)/2  B) (b+1)/2  C) b/2  D) b/(2-1)  E) b/(2+1)

Solution: Lets put values for b, say b=13 since it's odd and it is grater than 12,   and first number is neg so sequence will be {neg,pos,neg,pos,neg,pos,neg,pos,neg,pos,neg,pos,neg} we can see that it has 7 positive terms   so putting bx=13 in the options,   option (b+1)/2 = (b+1)/2 => (13+1)/2= 
(13+1)/2 = 7
7 , the number of positive integers   So, (b+1)/2 is the answer
Answer: B
The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height?
Choose the correct choice from the following choices:
A) 3 cm
B) 6 cm
C) 7 cm
D) 9 cm
E) 10 cm

Solution: Solution   Let the height of the parallelogram be x cm.Then base   = (2x) cm   =2x² = 72   x²=36   x = 6.   Answer 6 cm
Answer: B
How many ways can 10 friends be arranged around a circular dinner table?  Choose the correct answer:
A) 6! B) 7! C) 8! D) 9! E) 10!

Solution: The number of ways to order 10 people is 10!   However, around a circular table, each pattern would be repeated 10 times.   So the number of ways to seat 10 friends around a circular table is 9!   The answer is 9!.
Answer: D
Replace X with the appropriate number in
1 , 3 , 5 , 7 , 8 , 9 , 10 , X
Pick one:
A) 2	B) 11	C) 4	D) 6	E) 30

Solution: 11   list of consecutive numbers that has an 'e' in the spelling
Answer: B
What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x
Answers.
A) 3707
B) 3790
C) 3910
D) 3907
E) 3970

Solution: 22 x 5 - 3 = 77 x 5 - 3 = 3232 x 5 - 3 = 157157 x 5 - 3 = 782782 x 5 - 3 = 39073907
Answer: D
In given series 582, 605, 588, 611, 634, 617, 600 only one number is incorrect. Find out that wrong number Choose the correct choice:
A) 615
B) 634
C) 600
D) 620
E) 617

Solution: 582+23= 
582+23 = 605
605   605-17= 
605-17 = 588
588   588+23= 
588+23 = 611
611   611-17=594....so 634 is wrong.   594+23= 
594+23 = 617
617   617-17= 
617-17 = 600
600   ANSWER:634
Answer: B
A college has classes from 10:00 AM until 1:40 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Choose the correct choice from the following answers
A) 38 min
B) 41 min
C) 40 min
D) 42 min
E) 52 min

Solution: The total time is 220 minutes.   There are four breaks of five minutes between the classes for a total of 20 minutes.   The total class time is 200 minutes.   200 / 5= 
200 / 5 = 40
40 minutes per class   The answer is 40 min.
Answer: C
Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rakesh ?	Choices:
A) 1000 B) 1100 C) 1125 D) 1200 E) 1050

Solution: Ratio of share of Rajan, Rakesh nd Mukesh => 20000:25000:15000   =>4:5:3   =>4*12 : 5*4 : 3*8 [Since Rakesh left after 4 months nd Mukesh joined after 4 months...]   => 12:5:6   Share of Rajan => 4600*12/23= 
4600*12/23 = 2_400
2400   Share of Rakesh=> 4600*5/23= 
4600*5/23 = 1_000
1000   1000NSWER:1000
Answer: A
A man swims downstream 76 km and upstream 48 km taking 4 hours each time; what is the speed of the current?	Choose the correct choice from the following answers.
A) 3 kmph B) 1.5 kmph C) 3.5 kmph D) 6.5 kmph E) 7:3kmph

Solution: Explanation:   76 --- 4 DS = 19   ? ---- 1   48 ---- 4 US = 12   ? ---- 1 S = ?   S = (19 - 12)/2= 
(19 - 12)/2 = 7/2 = around 3.5
3.5   Answer: Option 3.5 kmph
Answer: C
How many multiples of 8 are less than 7600, and also multiples of 19?  Select:
A) 104  B) 100  C) 50  D) 89  E) 90

Solution: L50M of 8 & 19 = 152   Tried dividing 7600 by 152   Got quotient 50'So 50 is answer
Answer: C
The value of log2(log5625) is
Select.
A) 2  B) 5  C) 10  D) 15  E) 20

Solution: Solution   Let log5625	= x.   Then, 5x	= 625   = 54   ‹=› x=4.   Let log2( log5625)	= y.   Then, log 24= y   ‹=› 2y= 4   y;2.   2nswer 2
Answer: A
What is the product of all the prime factors of 25?	Pick one:
A) 25
B) 30
C) 35
D) 40
E) 45

Solution: 25 , factors are 5,1. Now again prime Number is Only 5 , this time we would have  5*5= 
 5*5 = 25
25   25nswer : 25
Answer: A
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?  Choose the correct choice from the following answers:
A) 18
B) 20
C) 24
D) 36
E) 42

Solution: let a=amount of 2% acid and b= amount of 12% acid.   Now, The equation translates to,   0.02a + .12b = .05(a+b)   but a+b= 60   therefore .02a + .12b = .05(60)   => 2a + 12b = 300   but b=60-a   therefore   2a+ 12(60-a) = 300   => 10a = 420   hence a = 42., B = 60-42= 
60-42 = 18
18   18nswer :18
Answer: A
There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?	Choose the correct answer:
A) 90
B) 120
C) 150
D) 100
E) 140

Solution: number of ways =6*5*4= 
6*5*4 = 120
120   Answer is 120
Answer: B
If (-12x)^(4x) = 12x^(15 - x) and x is an integer, what is the value of x ?  Choose the correct choice from the following:
A) 5  B) 4  C) 3  D) 2  E) -2

Solution: Since x is an integer, (-12x)^(4x) is always positive.   So, 12x^4x = 12x^(15 - x)   4x = 15 - x   5x = 15   x = 3   Answer: 3
Answer: C
There are 100 wine glasses. I offered my servant to 3 paise for every broken glass to be delivered safely and forfeit 9 paisa for every glass broken at the end of day. He recieved Rs.2.40 .how many glass did he break.
a. 20 b. 73 c. 5 d. 8	Choices:  A) 22  B) 281  C) 29  D) 28  E) 191

Solution: Answer:281
Answer: B
In a single throw of a die, what is probability of getting a number greater than 4?	Choose the correct choice from the following.
A) 2/3  B) 4/3  C) 1/3  D) 5/7  E) 7/9

Solution: E= {5,6}   n(E)=2   P(S)=n(E)/n(S)   =2/6   =1/3   Ans: 1/3
Answer: C
4, 12, 48, 240, 1440, (...)
Choose the most appropriate option:
A) 7620
B) 6200
C) 10020
D) 10080
E) 11000

Solution: Go on multiplying the given numbers by 3, 4, 5, 6, 7   4 x 3 =12; 12 x 4 = 48 .....1440 x 7 = 10080   Answer is 10080.
Answer: D
A glass was filled with 15 ounces of water, and 0.05 ounce of the water evaporated each day during a 15-day period. What percent of the original amount of water evaporated during this period?	Choose the correct choice from the following options.
A) 0.005%
B) 0.05%
C) 0.5%
D) 5%
E) 25%

Solution: In 15 days 15*0.05= 
15*0.05 = 0.75
0.75 ounces of water evaporated, which is 0.75/15âˆ—100=5 of the original amount of water.   Answer: 5%.
Answer: D