MU-NLPC/Calc-aqua_rat huggingface dataset:
Will must choose a 2-character computer password, consisting of 2 letter from the alphabet , in any order.From how many different passwords can Will choose? Choose the correct choice.
A) 390  B) 2,340  C) 4,680  D) 1300  E) 14,040

Solution: 26C1*25C1 = 650.   =>650 * 2= 
650 * 2 = 1_300
1300.   Option E is correct answer...but OA is 1300.
Answer: D
If John invested $ 2 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
Pick one:
A) (1.5)^4
B) 4(1.5)
C) (1.05)^4
D) (2.05)^4
E) 1 + 4(0.05)

Solution: In this prompt, the answer choices show that we don't actually have to calculate anything - we just need to 'format' the calculation correctly. We're told that the interest is COMPOUNDED ANNUALLY, so we need the Compound Interest Formula, with a Principal of $2, an R of 5% (which would 'translate' as .05) and a T of 4. We'd have....   (2.05)^4
Answer: D
If y = x +2, Find the range of real values of y satisfying the inequalities 16x - 6 > 42 and 7x - 24 < 60" Choices: A) 5 < y < 14 B) 3 < y < 12 C) 1 < y < 10 D) y < 10 E) y < 12

Solution: 16x – 6 > 42 => 16x >48 => x>3 ...(1)   5 < y < 14nd 7x – 24 < 60 = > 7x x 3 and y - 2 5 or y < 14   Combining the above range, we get, 5 < y < 14   5 < y < 14NSWER:5 < y < 14
Answer: A
The sum of the squares of three numbers is 41, while the sum of their products taken two at a time is 20. Their sum is:	Select:
A) 10 B) 5 C) 9 D) 15 E) None of these

Solution: x^+y^2+z^2=138   xy+yz+zx=131   as we know.. (x+y+z)^2=x^2+y^2+z^2+2(xy+yz+zx)   so (x+y+z)^2=41+(2*20)   (x+y+z)^2=81   so x+y+z=9   ANSWER:9
Answer: C
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?  Choose the correct choice from the following
A) -33
B) -34
C) -46
D) 45
E) 46

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.   Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.   So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.   Solving this equation for d+ed+e gives d+e=−66d+e=−66.   Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.   Hence, the answer is -33: -33
Answer: A
The average age of 20 men in the class is 14.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?  Pick one.
A) 15.5  B) 19.4  C) 15.25  D) 15.3  E) 15.6

Solution: Total age of 20 men = 14.6 x 20 = 292   Now, total age of 25 men = 389.   Total age of five men added later = 389 - 292= 
389 - 292 = 97
97.   Hence, the total average of five men= 97/5= 
97/5 = 97/5 = around 19.4
19.4   ANSWER:19.4
Answer: B
Whats the probability of getting 5 Sunday(my favorite day) in a 31 day month ?	Choices.
A) 3/3 B) 2/9 C) 6/7 D) 1/5 E) 3/7

Solution: 3/7   3/7   3/7xplanation:   If a 31day month starts on a Friday, Saturday or Sunday it will have five Sunday, if not it will have 4 Sunday.
Answer: E
Pipe A can fill a tank in 10 hours, pipe B in 8 hours, and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled?  Choose the correct choice from the following answers:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: The part filled by A + B + C in 1 hour   = 1/10 + 1/8 + 1/40   = 10/40 = 1/4   All the three pipes together will fill the tank in 4 hours.   The answer is 4.
Answer: C
The diameter of a circle is 4/π. Find the circumference of the circle. Choose the correct answer.
A) 8 B) 4 π C) 4 D) 6 E) 5

Solution: circumference = 2*pi*r= 2*pi*4/pi   => 8   8
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Choose the correct choice:
A) 17%
B) 77%
C) 44%
D) 16%
E) 47%

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer: 44%
Answer: C
Set E includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Answers.
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: First, reach to the point of getting the equation E : x + y = 18   It should take about 20 seconds.   Then Substitute the answer choices into the equation.   I don't know what the answer choices in this case are.   But I'm sure, you would be able to eliminate at least 2 or 3 answer choices. (about 10 seconds).   Say you are left with 2 answer choices. (If you are short on time, guess One of the two and you'll have a 50% probability of getting it right.)   The Median (of 6 numbers) = 5.5. See if the AVERAGE of any two numbers among (2,3,8,11) results in the median. In this case, it does for 3 and 8. (15 seconds).   Once you know that the numbers that contribute towards Median are 3 and 8, and not x or y, then given x < y, x≤3. (about 10 seconds)=3
Answer: D
There are 138 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
Choose the correct choice from the following answers:
A) 10
B) 11
C) 12
D) 16
E) 14

Solution: IMO 17   Take each answer choice and substract it from 135 and the divided this with 11.   16
Answer: D
In a coconut grove, (x + 4) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 4) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. Choices.
A) 3	B) 4	C) 8	D) 9	E) None of the above

Solution: (x+4)×60+x×120+(x−4)×180/(x+4)+x+(x−4)=100   ⇒ 360x−480/3x = 100   ⇒ 60x = 480 ⇒ x = 8   Answer 8
Answer: C
If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially? Choose the correct choice from the following choices.
A) 700 B) 720 C) 740 D) 760 E) 780

Solution: Let x be the number of days in the initial plan. Therefore, the whole field is 120⋅x hectares. The farmer had to work for x+2 days, and he ploughed 85(x+2) hectares, leaving 40 hectares unploughed. Then we have the equation:   120x=85(x+2)+40   35x=210   x=6   So the farmer planned to have the work done in 6 days, and the area of the farm field is 120⋅6=720 hectares.   So answer is 720.
Answer: B
For a certain exam,a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean.What was the mean score for the exam?	Choose the correct choice from the following answers
A) 74	B) 76	C) 78	D) 80	E) 82

Solution: Mean-2SD=60   Mean+3SD=100   by solving above we get,   SD (absolute value)=8   Mean=76   Ans. 76
Answer: B
Three consecutive even numbers are such that thrice the first number exceeds double the third number by five. What is the third number?	Pick one:
A) 13
B) 15
C) 17
D) 19
E) 21

Solution: Let the three numbers be x, x+2, and x+4.   3x = 2(x+4) + 5   x = 13 and then the third number is x+4 = 17.   The answer is 17.
Answer: C
Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Syam's present age in years? Answers
A) 20
B) 24
C) 25
D) 28
E) 30

Solution: Ratio = 5:4   age of kiran = 5x   age of syam = 4x   after 3 yrs = 11:9   (5x+3):(4x:3) = 11:9   x=33-27= 
33-27 = 6
6   syam age= 4x=4*6= 
4*6 = 24
24   ANSWER 24
Answer: B
How many positive integers will divide evenly into 190? Choose the correct choice:
A) 4  B) 6  C) 8  D) 12  E) 16

Solution: The question is asking how many factors 190 has.   190 = 2*5*19   The number of factors is 2^3 = 8   The answer is 8.
Answer: C
Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?  Choose the correct choice from the following choices.
A) 21:32	B) 32:21	C) 12:17	D) 17:12	E) None of these

Solution: Explanation :   Here capital is not the same.   Suresh invest 20000 for initial 6 months and 15000 for the next 6 months.   Hence his term of ratio   =( 20000*6 + 15000*6)   Kiran invest Rs.30000 for 4 months and Rs.50000 for next 4 months.   Hence his term of ration   = (30000*4 : 50000*4)   Suresh : Kiran = ( 20000*6 + 15000*6) : (30000*4 : 50000*4)   = (20*6 + 15*6) : (30*4 + 50*4)   = (20*3 + 15*3) : (30*2 : 50*2)   = 105:160   = 21:32. 21:32nswer : Option 21:32
Answer: A
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 84. Find the third number?  Choose one.
A) A)37	B) B)85	C) C)48	D) D)43	E) E)84

Solution: Let the numbers be 5x, 6x, 7x.   Largest number = 7x.   Smallest number = 5x.   Third number = 6x.   7x + 5x = 6x + 84   6x = 84 => third number is 84.   Answer: Option 84
Answer: E
After decreasing 40% in the price of an article costs Rs.1050. Find the actual cost of an article? Choices:
A) 1200
B) 1750
C) 1050
D) 1570
E) 1005

Solution: CP* (60/100) =1050   CP= 17.5 * 100 => CP   = 1750   Answer:1750
Answer: B
If n is a natural number, then (6n2 + 6n) is always divisible by?  Pick one
A) 6 and 12 both	B) 6 only	C) 12 only	D) 6 or 12	E) None

Solution: (6n2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.   6 and 12 both)
Answer: A
A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?	Select the correct option: A) 10 B) 88 C) 66 D) 28 E) 12

Solution: A can do the work in 30/2 i.e., 15 days.   A and B's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10   So A and B together can do the work in 10 days.   10nswer: 10
Answer: A
By selling 20 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Pick:
A) 80
B) 60
C) 50
D) 30
E) 10

Solution: 80% --- 20   120% --- ?   80/120 * 20 = 30   Answer:30
Answer: D
P is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2P is divided by 4 ? Choose the correct option.
A) 3
B) 2
C) 1
D) 0
E) -1

Solution: Let P = 4q + 3. Then 2P = 8q + 6 = 4(2q + 1 ) + 2.   Thus, when 2P is divided by 4, the remainder is 2.   ANSWER:2
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choose one.
A) 11 km/hr B) 50 km/hr C) 76 km/hr D) 88 km/hr E) 17 km/hr

Solution: :   Speed of the train relative to man = (125/10) m/sec   = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed   = (x - 5) km/hr. x - 5 = 45 ==> x   = 50 km/hr.   Answer: 50 km/hr
Answer: B
Of 30 applicants for a job, 13 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Options:
A) 14
B) 13
C) 9
D) 6
E) 5

Solution: D. 6   30 - 3= 
30 - 3 = 27
27   27 - 13 - 18= -6   Then 6 are in the intersection between 4 years experience and degree.   Answer 6
Answer: D
The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 21-inch flat-screen television than a square 19 -inch flat-screen television?
Choose the correct choice from the following
A) 42
B) 40
C) 38
D) 36
E) 48

Solution: If we take a square with side length x and draw a diagonal, we get two isosceles right triangles.   If we focus on one such right triangle, we see that the legs have length x.   square 21-inch flat-screen television   The diagonal (hypotenuse) = 21   So, we can apply the Pythagorean Theorem to get x² + x² = 21²   Simplify: 2x² = 21²   Divide both sides by 2 to get: x² = 21²/2   Since the area of the square = x², we can see that the area of this square is 21²/2   square 19-inch flat-screen television   The diagonal (hypotenuse) = 19   So, we can apply the Pythagorean Theorem to get x² + x² = 19²   Simplify: 2x² = 19²   Divide both sides by 2 to get: x² = 19²/2   Since the area of the square = x², we can see that the area of this square is 19²/2   DIFFERENCE IN AREAS =21²/2-19²/2   = (21+19)(21-19)/2 =40   40
Answer: B
If a 5 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes? Pick:	A) 100%	B) 200%	C) 300%	D) 400%	E) 500%

Solution: The area A of the large cube is 5*5*6= 
5*5*6 = 150
150 square cm.   The area of the 125 small cubes is  125*6= 
 125*6 = 750
750= 5A, an increase of 400%.   The answer is 400%.
Answer: D
A train travels at an average of 40 miles per hour for 4 hours and then travels at a speed of 60miles per hour for 2hours. How far did the train travel in the entire 6 hours?
Choices.
A) 100miles B) 150miles C) 200miles D) 250miles E) 300miles

Solution: Total distance traveled = (40*4)+(70*2) = 160+140= 
160+140 = 300
300 miles   Answer is 300miles
Answer: E
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Select:	A) 20	B) 40	C) 80	D) 100	E) 200

Solution: Let the number of students in rooms A and B be x and y respectively.   Then, x - 10 = y + 10   x - y = 20 .... (i)   and x + 20 = 2(y - 20)   x - 2y = -60 .... (ii)   Solving (i) and (ii) we get: x = 100 , y = 80.   The required answer A = 100.   answer :100
Answer: D
In an exam 80% of the boys and 40% of the girls passed. The number of girls who passed is 120, which is 2/3rd of the number of boys who failed. What is the total number of students who appeared for the exam? Select.
A) 1200 B) 380 C) 3800 D) 2180 E) 3180

Solution: Let the Number of boys = x , Number of girls =y   40y/100 =120   y = 300   120= 2/3* 20x/100 = 2x/15   x = 900   Total = x+y = 300+900= 
300+900 = 1_200
1200   1200NSWER:1200
Answer: A
In an examination, 35% candidates failed in one subject and 42% failed in another subject while 14% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?	Choose the correct choice
A) 975	B) 1020	C) 1175	D) 1225	E) 1525

Solution: Failed in 1st subject = 35*2500/100= 
35*2500/100 = 875
875   Failed in 2nd subject= 42*2500/100= 
42*2500/100 = 1_050
1050   Failed in both= 14*2500/100= 
14*2500/100 = 350
350   Failed in 1st subject only= 875-350= 
875-350 = 525
525   Failed in 2nd subject only= 1050-350= 
1050-350 = 700
700   Passed in either subject but not in both= 700+525= 
700+525 = 1_225
1225   Answer is 1225
Answer: D
A man incurs a loss of 5% be selling a watch for Rs. 1140. what price should the watch be sold to earn 5% profit.  Choose the correct choice from the following choices
A) 1200
B) 1260
C) 1350
D) 1250
E) 1355

Solution: (100 - loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)   = 95/1140 =105/x   = 1260   ANSWER 1260
Answer: B
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 21 years(the child was born during the interval). What is the present age of the child?  Pick.
A) 7  B) 5  C) 8  D) 4  E) 2

Solution: 28 * 2= 
28 * 2 = 56
56   21 * 3= 
21 * 3 = 63
63   -----------   7 years.7nswer: 7
Answer: A
By using the numbers 1, 2, 3, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25? Choose the correct choice from the following choices
A) 5 B) 4 C) Not possible D) 3 E) 6

Solution: A number to be divisible by 25 must end with 00, 25, 50, or 75.   So, not possible.   Answer: Not possible.
Answer: C
A man swims downstream 72 km and upstream 45 km taking 5 hours each time; what is the speed of the current?  Choose one:
A) 1.7
B) 2.8
C) 3.6
D) 2.7
E) 1.1

Solution: 72 --- 5 2.7S = 14.4   ? ---- 1   45 ---- 5 US = 9   ? ---- 1 S = ?   S = (14.4 - 9)/2= 
(14.4 - 9)/2 = 2.7
2.7   Answer:2.7
Answer: D
A and B together have $ 1210. If of A's amount is equal to of B's amount,What is the ratio between A and B?  Choose the correct choice from the following answers:  A) 2:3  B) 3:2  C) 4:5  D) 5:3  E) cannot be determined

Solution: (4/15)a=(2/5)b   a=((2/15)*(15/4))b   a=(3/2)b   a/b=3/2   a:b=3:2   Option 3:2
Answer: B
A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?	Choose the correct option.
A) 2.5 min
B) 3 min
C) 3.2 min
D) 3.5 min
E) 3.8 min

Solution: Total distance travel by train is 4 miles   and speed of the train is 75 miles per hour   so time is distance by speed = (4/75) hours   den we should change to minits then (4/75)*60= 
(4/75)*60 = 16/5 = around 3.2
3.2   ANSWER:3.2 min
Answer: C
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?  Answers:  A) 54  B) 66  C) 80  D) 36  E) 96

Solution: 54   54   It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH = 54 miles
Answer: A
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres? Choose the correct answer.
A) 40
B) 50
C) 60
D) 70
E) 80

Solution: Let breadth = x metres.   Then, length = (x + 20) metres.   Perimeter =5300	/26.50 m = 200 m.   2[(x + 20) + x] 5300 /26.50= 
5300 /26.50 = 200
200 m.   2[(x + 20) + x]= 200   2x + 20 = 100   2x = 80   x = 40.   Hence, length = x + 20 = 60 m.   answer : 60
Answer: C
Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?	Pick one.
A) 2 : 3 : 4	B) 6 : 7 : 8	C) 6 : 8 : 9	D) Cannot be determined	E) None of these

Solution: Reqd ratio 5 × 140⁄100 : 7 × 150⁄100 : 8 × 175⁄100   = 5 × 140 : 7 × 150 : 8 × 175 = 2 : 3 : 4   2 : 3 : 4nswer 2 : 3 : 4
Answer: A
Laxmi goes 6 km towards South-East from her office.Then she goes 15 km turning to West. After this she goes 6 km towards North-West and in the end she goes 11 km towards East. How far is she from her office ? Options
A) 10 km
B) 11 km
C) 4 km
D) 6 km
E) 8 km

Solution: Explanation:   From the above fig we can observe that distance between Laxmi and her office is 15-11= 
15-11 = 4
4 kms.   ANSWER IS 4 km
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 24 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?  Choose the most appropriate option
A) 288
B) 540
C) 877
D) 278
E) 178

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 24 + 21= 
24 + 21 = 45
45   T= 12   D = 45 * 12= 
45 * 12 = 540
540   Answer: 540
Answer: B
A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?  Choose the most appropriate option.
A) 6hours B) 3hours C) 2hours D) 5hours E) 4hours

Solution: A's 1 hour work = 1/3;   (B + C)'s 1 hour work = 1/2;   (A + C)'s 1 hour work = 1/2   (A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6   B's 1 hour work = (5/6 - 1/2) = 1/3   B alone will take 3 hours to do the work.   Answer:3hours
Answer: B
The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?	Select:
A) 22years	B) 24years	C) 26years	D) 28years	E) 30years

Solution: Age of the 15th student   =[15 * 16 - (14 * 5 + 16 * 9)]   = (240 - 214)= 
(240 - 214) = 26
26 years.   Answer:26years
Answer: C
Tomy's age 14 years hence will be thrice his age four years ago. Find Tomy's present age? Choose the correct answer:
A) 12 years B) 13 years C) 15 years D) 17 years E) 18 years

Solution: Let MTomy's present age be 'x' years.   x+ 14 = 3(x- 4)   => 2x = 26 => x = 13 years.   13 years
Answer: B
A test has 100 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?
Pick
A) 9
B) 10
C) 11
D) 12
E) 13

Solution: A correct answers get you 1 point, an incorrect answer gets you MINUS 1/4 point and a skipped question gets you 0 points. Since there are 200 total questions, there are a variety of ways to get a total of 40 points.   Let C be the number of correct answers and let I be the number of incorrect answers.   To get 40 points, a test taker must have at least 40 correct answers. Then C=> 40.   For every correct question above 40, the test taker has 4 incorrect answers.   Then, the I = 4*(C - 40).   Also, I + C <= 100. Thus 5C <= 260 and so C <= 52.   Then 40 <= C <= 52 and C can have 13 possible values.   The answer is 13.
Answer: E
If a,b,c,d,e are five consecutive odd integers,then what is their average?	Choices.
A) a+4	B) abcde/5	C) 5(a+b+c+d+e)	D) a+8	E) a+6

Solution: b=a+2,c=a+4,d=a+6 and e=a+8   Required average = (a+a+2+a+4+a+6+a+8)/5=a+4   a+4nswer is a+4
Answer: A
A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $72?
Answers.
A) 9 B) 12 C) 17 D) 21 E) 24

Solution: Every two days, the net total is $6.   After 16 days, the worker will have $48.   On day 17, the worker will receive $24 for a net total of $72.   The answer is 17.
Answer: C
34.	The side surface of a cylinder is rolled with a rectangular plate. If the perimeter of the circular base Is 6 feet, and the diagonal of the rectangular plate was 10 ft. What is height of the of the cylinder?	Choose the correct choice from the following choices: A) 7 B) 10 C) 8 D) 12 E) 15

Solution: Think of a Pringles can. If you took off the bottom and top and cut a slit down the length, it would flatten to a rectangle. The dimensions of the rectangle are the height of the can and the circumference of the circle. Since you know both, one side and thehypothenuse use pythagoreans theorem or properties of 3-4-5 triangles to solve for the other side, 8. 8orrect answer 8.
Answer: C
Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?	Answers.
A) Rs.21.60	B) Rs.21.69	C) Rs.21.87	D) Rs.21.68	E) Rs.21.19

Solution: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.6,000   He lend the same amount for C.I at 6% p.a. for two years.   => Siddharth's income = C.I - S.I   = p[1 + r/ 100]n - p - pnr/100   = p{ [1 + r/ 100]2 - 1 - nr/100   = 6,000{ [1 + 6/100]2 - 1 - 12/100}   = 6,000 {(1.06)2- 1 - 0.12} = 6,000(1.1236 - 1 - 0.12)   = 6,000 (0.0036) = 6 * 3.6 =Rs.21.60   Rs.21.60nswer:Rs.21.60
Answer: A
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Pick
A) 14 years	B) 17 years	C) 18 years	D) 12 years	E) 11 years

Solution: 9 * 2   = 181   Answer:18 years
Answer: C