MU-NLPC/Calc-aqua_rat huggingface dataset:
The slant height of a cone is 15 cm and radius of the base is 3cm, find the curved surface of the cone?  Choose the correct choice from the following: A) 26 B) 134 C) 141 D) 190 E) 28

Solution: π * 15 * 3   = 141   Answer:141
Answer: C
A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 12 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution? Pick.
A) 2:5
B) 3:7
C) 3: 5
D) 4:7
E) 7:17

Solution: Container 1 has 12 ounces in the ratio 1:2   or,   x+2x=12 gives x(alcohol)=4 and remaining water =8   container 2 has 12 ounces in the ratio 1:3   or,   x+3x=12 gives x(alcohol)=3 and remaining water =9   mixing both we have alcohol=4+3 and water =8+9   ratio thus alcohol/water =7/17   Answer 7:17
Answer: E
If 3 boys can do 3 times of a particular work in 3 days, then, 7 boys can do 7 times of that work in?  Choose the correct choice from the following choices.
A) days
B) days
C) days
D) days
E) days

Solution: That is, 1 boys can do one time of the work in 3 days.   Therefore, 7 boys can do 7 times work in the same 3 days itself.   days)
Answer: B
In an election contested by two parties, Party B secured 20% of the total votes more than Party C. If party C got 144,000 votes, by how many votes did it lose the election?	Choose the correct choice from the following options
A) 14,000
B) 72,000
C) 78,000
D) 24,000
E) 30,000

Solution: 72,000 + C = 100 ---- (1)   72,000 - C = 20 ---- (2)   Solving (1) and (2) 72,000 = 60% and R = 40%   40% of Total = 144000   Total = 360000   72,000 = 216000   Difference = 216000 - 144000= 
216000 - 144000 = 72_000
72000   Answer: 72,000
Answer: B
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A. 480 liters
Pick:  A) 480  B) 489  C) 486  D) 482  E) 483

Solution: 1/x - 1/20 = -1/24   x = 120   120 * 4= 
120 * 4 = 480
480   480nswer: 480
Answer: A
Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,a). If a = 2, which of the following could be the equation of line m, which is perpendicular to line L? Choose one:
A) 2x + y = px + 7
B) 2x + y = –px
C) x + 2y = px + 7
D) y – 7 = x ÷ (p – 2)
E) 2x + y = 7 – px

Solution: we need m=p-2, so we should gety=mx+bform in answer choices   (A) 2x+y=px+7 => y=px-2x+7 => y=x(p-2)+7. It is what we need   (B) 2x + y = –px => y=-px-2x => y=x(-p-2). Wrong   (C) x + 2y = px + 7 => y=x(p-1/2)+7/2. Wrong   (D) y – 7 = x ÷ (p – 2) => y=(1/p-2)x+7. Wrong   (E) 2x + y = 7 – px => y=-px-2x+7 => y=x(-p-2)+7. Wrong   2x + y = px + 7=2x + y = px + 7nswer
Answer: A
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B? Choose the correct choice from the following options.
A) 6400	B) 2878	C) 2899	D) 2660	E) 2701

Solution: Let the sum invested in scheme A be Rs. x and that in scheme B be Rs. (13900 - x). Then,   (x * 14 * 2)/100 + [(13900 - x) * 11 * 2]/100 = 3508   28x - 22x = 350800 - (13900 * 22)   6x = 45000 => x = 7500   So, sum invested in scheme B = (13900 - 7500) = Rs. 6400.6400nswer:6400
Answer: A
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race? Pick.
A) 111.12 m  B) 111.13 m  C) 117.12 m  D) 111.92 m  E) 141.12 m

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 -888.88= 
1000 -888.88 = 111.12
111.12 m.   111.12 mnswer:111.12 m
Answer: A
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 sec. The speed of the train is?
Select:	A) 65 km/hr	B) 50 km/hr	C) 76 km/hr	D) 56 km/hr	E) 87 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
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
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 3 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)	Pick one:  A) 2/1  B) 3/8  C) 8/5  D) 5/8  E) 5/3

Solution: Distance traveled by Eddy = 600 km   Time taken by Eddy = 3 hours   2/1verage speed of Eddy = 600/3= 
600/3 = 200
200 km/hour   Distance traveled by Freddy= 300 km   Time taken by Freddy = 3 hours   2/1verage speed of Freddy = 300/3= 
300/3 = 100
100 km/hour   Ratio of average speed of Eddy to Freddy= 200/100= 
200/100 = 2
2/1   2/1nswer 2/1
Answer: A
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (9, 0), (0, -3.5), (-9, 0)?	Choose the correct choice from the following answers:  A) 63  B) 88  C) 112  D) 116  E) 120

Solution: 63res of rhombus= 1/2* D1 *D2   Length of 1st diagonal = 9+9= 
9+9 = 18
18   Length of 2nd diagonal= 3.5+3.5= 
3.5+3.5 = 7
7   63rea= 1/2*18*7= 
1/2*18*7 = 63
63   63 is the answer
Answer: A
A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
Select
A) 360	B) 350	C) 340	D) 370	E) 380

Solution: Let x be the number of parts the woodworker normally makes daily. In 24 days he makes 24⋅x pieces. His new daily production rate is x+5 pieces and in 22 days he made 22⋅(x+5) parts. This is 80 more than 24⋅x. Therefore the equation is:   24⋅x+80=22(x+5)   30=2x   x=15   Normally he makes 15 parts a day and in 24 days he makes 15⋅24=360 parts.   So answer is 360.
Answer: A
A vendor bought bananas at 6 for Rs.10 and sold them at Rs.4 for Rs.6 .Find his gain or loss percent .	Pick
A) 13%  B) 10%  C) 47%  D) 36%  E) 52%

Solution: Suppose , number of bananas bought = LCM of 6 and 4=12   CP=Rs.[(10/6)*12]=Rs.20 ; SP= Rs[(6/4)*12]=Rs.18   Loss%=[(2/20)*100= 
(2/20)*100 = 10
10%   Ans:10%
Answer: B
Which of the following has 35^70 as a factor? Choose one.
A) 70^70
B) 30^40
C) 40^70
D) 60^60
E) 90^70

Solution: Here 35^70 = 5^70 * 7^70 Only Option A has both .   Smash 70^70
Answer: A
Three taps A,B and C can fill a tank in 10,20 and 30. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in?  Choose the correct choice from the following choices:
A) 6hour 20min B) 7hour 10min C) 7hour 30min D) 8hour 15min E) 9hours 05 min

Solution: A+B 1 hour work = 1/10 + 1/20 +  1= 
+  1 = 1
1/10 + 1/20= 3/20   A+7hour 30min 1 hour work = 1/12 + 1/30 = 7/60   Part filled in 2 hours = 3/20 + 7/60 = 4/15   Part filled in 6 hours = 3* 4/15 = 4/5   Remaining part = 1 - 4/5 = 1/5   Now it is the turn of A and B and 1/5 part is filled by A and B in 1hour 30min   Total time taken to fill the tank = 6+1.5 = 7hours 30min   Answer is 7hour 30min
Answer: C
At what time between 5.30 and 6 will the hands of a clock beat right angles?
Choose the correct choice from the following answers:	A) 43 5⁄11 min. past 5	B) 43 7⁄11 min. past 5	C) 40 min. past 5	D) 45 min. past 5	E) None of these

Solution: At 5 o’clock, the hands are 25 min. spaces apart.   To be at right angles and that too between 5.30 and 6, the minute hand has to gain   (25 + 15)= 
  (25 + 15) = 40
40 min. spaces   55 min.spaces are gained in 60 min.   40 min. spaces are gained in (60⁄55 × 40) min= 43 7⁄11 min.   ∴ Required time = 43 7⁄11 min. past 5   Answer 43 7⁄11 min. past 5
Answer: B
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choose the correct choice from the following answers.
A) 11 liters
B) 12 liters
C) 10 liters
D) 15 liters
E) 18 liters

Solution: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.   Answer:10 liters
Answer: C
The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years K in which the population would be doubled assuming there is no emigration or immigration is
Choose the correct choice from the following answers
A) 20  B) K=25  C) 30  D) K=35  E) 40

Solution: Suppose the population of the country in current year is 1000.   So annual increase is  1000 + 39.4 - 19.4= 
 1000 + 39.4 - 19.4 = 1_020
1020   Hence every year there is an increase of 2%.   2000=1000(1+ (2/100))^n   n=35 Answer is K=35.
Answer: D
A began business with Rs.45000 and was joined afterwards by B with Rs.36000. When did B join if the profits at the end of the year were divided in the ratio of 2:1? Options:  A) 1.5  B) 6  C) 7.5  D) 8.5  E) 2

Solution: 45*12 : 36*x = 2: 1   x = 7.5   12 -7.5= 
12 -7.5 = 4.5
4.5   Answer: 7.5
Answer: C
If 144/0.144 = 14.4/x, then the value of x is:  Select the correct option: A) 0.0414 B) 0.144 C) 0.0144 D) 0.414 E) None of them

Solution: =144/0.144 = 14.4/x   =144 x 1000/144   =14.4/x   =x = 14.4/1000= 
14.4/1000 = 0.0144
0.0144   Answer is 0.0144.
Answer: C
The factorial expression 9!/2! is not divisible by which of the following integers?  Choose the correct choice from the following answers.
A) 3	B) 2	C) 6	D) 7	E) 11

Solution: 9!/2! => 9 x 8 x 7 x 6 x 5 x 4 x 3   (A) 3 Can divide 12 or 9   (B) 2 Can divide 8 or 6 or 4   (C) 6 Can divide 6   (D) 7 Can divide 7   (11) 11 None of the Multiplicands present   Hence answer will be (11)
Answer: E
A man can row 12 Kmph in stil water and the river is running at 4 Kmph. If the man takes 2 hour to row to a place and back how far is the place?
Select
A) 3 Km B) 2.66 Km C) 10.66 Km D) 9 Km E) 10 km

Solution: Explanation:   Man's rate down stream = 12 + 4= 
12 + 4 = 16
16 kmph   Man's rate upstream= 12 - 4= 
12 - 4 = 8
8 kmph   Let the required distence be x Km   then, x/16 +x/8= 2   3x = 32   x = 10.66 Km.   Answer: Option 10.66 Km
Answer: C
x is what percent of y percent of z, in terms of x, y and z? k be the value expressed in terms of x,y and z.
Choose the correct choice
A) xyz B) 1/xyz C) 100xyz D) 10^4*x/yz E) 10^3 x/yz

Solution: Algebraically, y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to k% of yz/100; then we have:   x = (k/100)*(yz/100)   10,000x/yz = k   10^4*x/yz
Answer: D
In how many different ways can the letters of the word DETAIL be arranged in such a way that the vowels occupy only the odd positions?  Choose one.
A) 120
B) 60
C) 48
D) 32
E) None of these

Solution: 3 vowels can be arranged in three odd places in 3! ways.   Similarly, 3 consonants can be arranged in three even places in 3! ways.   Hence, the total number of words in which vowels occupy odd positions = 3! × 3! = 6 × 6 = 36 ways.   Answer None of these
Answer: E
The product Q of the first 10 prime numbers is closest to which of the following?
Choose the correct answer:  A) 6.5 x 10^7  B) 6.5 x 10^8  C) 6.5 x 10^9  D) 6.5 x 10^10  E) 6.5 x 10^11

Solution: The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.   So, we need to find approximate value Q of 2*3*5*7*11*13*17*19*23*29.   # of different approximations are possible. For example:    2*5= 
 2*5 = 10
10   3*17=~50 (actually more than 50);   7*13=~100 (actually less than 100);   11*19=~200 (actually more than 200)   23*29= 
23*29 = 667
667   2*3*5*7*11*13*17*19=~10*50*100*200*667=10^7*667=6.67*10^9.   Answer: 6.5 x 10^9.
Answer: C
A will was written such that an estate would be divided among three guys with the remainder donated to charity. One stipulation in the will is that no one from the guys can receive an amount within 30% of another's amount. If one of the guys received $20,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the three guys?	Choose the most appropriate option: A) $4096 B) $5904 C) $7892 D) $10052 E) $20736

Solution: 1st - 20,000.   2nd - 0.7*20,000 = 14,000   3rd - 0.7*14,000 = 9,800   Range = 20,000 - 9800 = 10,200.   Answer: $10052.
Answer: D
A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $400 and $350 per unit, respectively. What is the fewest number of computer printers that the company can purchase?
Options.
A) 11 B) 13 C) 15 D) 17 E) 19

Solution: The smallest amount that the company can spend is the LCM of 400 and 350, which is 2800 for each, which is total 5600.   The number of 1st type of computers which costing $400 = 2800/400= 
2800/400 = 7
7.   The number of 2nd type of computers which costing $350= 2800/350= 
2800/350 = 8
8.   Total= 7+8= 
7+8 = 15
15   Answer is 15.
Answer: C
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue E, in dollars, from the sale of cars priced at $ 15,000? Pick one.
A) 50,000 B) 750,000 C) 850,000 D) 7,500,000 E) E=750,000,000

Solution: number of cars sold = x=800000-50y   y=15000   x=800000-750000= 
800000-750000 = 50_000
50000   revenue from 50000 cars= 15000*50000= 
15000*50000 = 750_000_000
750000000 E=750,000,000
Answer: E
A qualified worker digs a well in 5 hours. He invites 3 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?	Choose the correct choice from the following
A) 1:24 B) 1:34 C) 1:44 D) 1:41 E) 2:14

Solution: and answer is correct as you have calculated : 100/56 hrs that is 1.62 hrs - 1 hr and 41 minutes, so 1:41, hence, 1:41.
Answer: D
A book is bought for $600 and sold for $624. What is the profit in percentage?  Choose the correct choice from the following options.
A) 2
B) 4
C) 6
D) 8
E) 10

Solution: 624/600= 
624/600 = 26/25 = around 1.04
1.04   The answer is 4.
Answer: B
10 men, working 5 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 ? Select:
A) 4 hours a day
B) 5 hours a day
C) 6 hours a day
D) 7 hours a day
E) 8 hours a day

Solution: Explanation:   More Men, Less Hours {Indirect Proportion}   Less Days, More Hours {Indirect Proportion}   [men 15 10   days 12 18] ::5:x   =>xâˆ—15âˆ—12=10âˆ—18âˆ—6   =>x=10âˆ—18âˆ—5/ 15âˆ—12   =>x=5   Option 5 hours a day
Answer: B
What is the sum of odd integers from 25 to 85
, inclusive?  Choose the correct choice: A) 1,705 B) 1,500 C) 1,240 D) 1,120 E) 1,100

Solution: Number of odd integers = (85-25)/2 + 1   = 60/2 + 1= 
60/2 + 1 = 31
31   Sum of odd integers= (25+85)/2 * 31= 
(25+85)/2 * 31 = 1_705
1705   1,705nswer 1,705
Answer: A
Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
A) 20,000  B) 72888  C) 27899  D) 27891  E) 27712

Solution: Let the second amount be Rs. x. Then,   (12000 * 10 * 1)/100 + (x * 20 * 1)/100 = [(12000 + x) * 14 * 1] / 100   120000 + 20x = 16800 + 14x   x = 8000   Total investment = 12000 + 8000 = Rs. 20,000.   20,000nswer:20,000
Answer: A
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 35 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choose the correct option
A) 17 litres B) 23.3 litres C) 11 litres D) 07 litres E) 38 litres

Solution: 262.85(35)+3,104.35x = 1,399.45(35 + x)   Solve the equation.   262.85(35)+3,104.35x = 1,399.45(35 + x)   9,199.75 + 3,104.35x = 48980.75 + 1,399.45x   9,199.75 + 1,704.9x = 48980.75   1,704.9x = 39,781   x ≈ 23.3   Answer is 23.3 litres.
Answer: B
Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 4 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Select the correct option.
A) 396
B) 1260
C) 1540
D) 7920
E) 15840

Solution: As the rectangle is parallel to coordinate axes, the coordinates of the points of the rectangle would be   (X1, Y1), (X2, Y1), (X2, Y2), (X1,Y2)   given that X1, X2 lie between 4 and 11..ie., 8 possible numbers   Possible combinations for X1,X2 would be 8C2 = 28   Similarly, Possible combinations for Y1, Y2 would be 11C2 = 55   Possible ways of constructing rectangle is by selecting any of the combination of X1,X2 and Y1,Y2   = 28 * 55= 
28 * 55 = 1_540
1540   Ans. 1540
Answer: C
The ratio of two quantities is 2 to 3. If each of the quantities is increased by 4, what is the ratio of these two new quantities?	Pick.
A) 5/5 B) It cannot be determined from the information given. C) 11/5 D) 12/5 E) 13/5

Solution: let the actual ratio be 2k/3k, increase numerator and denominator by 4=> 2k+4/3k+4   Until the value of k is unknown we can not determine the actual ratio.   OR   let the actual be 3/4. After increasing 4 => 7/8   let the actual be 6/8. After increasing 4 => 10/12   Therefore without actual quantities we cannot determine the actual ratio.   Answer : It cannot be determined from the information given.
Answer: B
There are 11 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Choose the correct choice from the following answers.
A) 35  B) 45  C) 55  D) 65  E) 75

Solution: 11552 = 55   The answer is 55.
Answer: C
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at: Choices.
A) 6 %	B) 6.1 %	C) 6.2 %	D) 6.3 %	E) 6.4

Solution: Solution:   Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.   = $ 4000 × 5/100.   = $ 4000 × 0.05.   = $ 200.   Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.   = $ 3500 × 4/100.   = $ 3500 × 0.04.   = $ 140.   Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.   Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.   = $ 160.   Total invested amount = $ 4000 + $ 3500 = $7500.   Remaining invest amount = $ 10000 - $ 7500 = $ 2500.   We know that, Interest = Principal × Rate × Time   Interest = $ 160,   Principal = $ 2500,   Rate = r [we need to find the value of r],   Time = 1 year.   160 = 2500 × r × 1.   160 = 2500r   160/2500 = 2500r/2500 [divide both sides by 2500]   0.064 = r   r = 0.064   Change it to a percent by moving the decimal to the right two places r = 6.4 %   Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.   Answer : 6.4
Answer: E
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 10 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Select the correct option.
A) 250  B) 625  C) 1,250  D) 2,500  E) 10,000

Solution: total fish = x   percentage of second catch = (10/50)*100= 
(10/50)*100 = 20
20%   so, x * 20%= 50   x = 250 ans 250.
Answer: A
Find the greatest number of five digits which is exactly divisible by 12, 15 and 18?	Choose the correct choice from the following answers.
A) A)13050
B) B)12960
C) C)10025
D) D)11080
E) E)12080

Solution: The largest five digit numbers are   13050,12960,12080   13050 is not divisible by 12   12960 is divisible by 18, 12 and 15   ANSWER:12960
Answer: B
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Choose one
A) 60 m	B) 20m	C) 43m	D) 20m	E) 23m

Solution: To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.   While A covers 3 m, B covers 4 m.   While A covers 360 m, B covers 4	x 360	m	= 480 m.   3   Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.   A wins by 20 m.   Answer:	20m
Answer: D
Average of first six multiples of 4 is	Select the correct option:	A) 9	B) 11	C) 14	D) 15	E) 17

Solution: Explanation:   Average=4(1+2+3+4+5+6) / 6=64 / 6=14   Option 14
Answer: C
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 most appropriate option.
A) Rs.4500 B) Rs.5200 C) Rs.1800 D) Rs.3000 E) Rs.3200

Solution: Explanation:   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 IS Rs.3000
Answer: D
The average of first 80 non-zero positive numbers is:
Select
A) 22.25  B) 31.25  C) 35  D) 40.5  E) None of these

Solution: Explanation :   Sum of first n natural numbers = n (n + 1)/2   So, average of first n natural numbers =   n (n + 1)/2n = (n + 1)/2   Required average = (80 + 1)/2 = 81/2 = 40.5.   Answer : 40.5
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is Choose the most appropriate option.
A) 152600m2 B) 153500m2 C) 153600m2 D) 153800m2 E) None of these

Solution: Explanation:   Question seems to be typical, but trust me it is too easy to solve, before solving this, lets analyse how we can solve this.   We are having speed and time so we can calculate the distance or perimeter in this question.   Then by applying the formula of perimeter of rectangle we can get value of length and breadth, So finally can get the area. Lets solve it:   Perimeter = Distance travelled in 8 minutes,   => Perimeter = 12000/60 * 8= 
12000/60 * 8 = 1_600
1600 meter. [because Distance= Speed * Time]   As per question length is 3x and width is 2x   We know perimeter of rectangle is 2(L+B)   So, 2(3x+2x) = 1600   => x = 160   So Length = 160*3= 
160*3 = 480
480 meter   and Width= 160*2= 
160*2 = 320
320 meter   Finally, Area= length * breadth   = 480 * 320= 
480 * 320 = 153_600
153600 Answer: Option 153600m2
Answer: C
Four bells begin to ring together and they ring after an interval of 6,8,9 and 12 second respectively. How many times will they ring together in one hour, including the one at the start?	Choose the correct choice.
A) 50	B) 56	C) 62	D) 51	E) 55

Solution: LCM is 72. So they ring together in every 72 sec.   there are 3600 sec in 1 hr. so, 3600/72=50.   and 1 ring at the beginning. makes it 51.   ANSWER:51
Answer: D
Find a number such that when 15 is subtracted from 7 times the number, the
Result is 10 more than twice the number.  Select.
A) 1
B) 4
C) 5
D) 0
E) 3

Solution: Let the number be x. Then, 7x - 15 = 2x + 10 => 5x = 25 =>x = 5.   Hence, the required number is 5.   Answer is 5.
Answer: C