MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 80, how many horses are there ?
Answers
A) 10  B) 12  C) 14  D) 16  E) 18

Solution: legs 16*4= 
16*4 = 64
64   now half on their horses so remaining on the walk so 8 men   8 men has 16 legs   so, 16+ 64= 80 legs walking   ANSWER:16
Answer: D
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 5 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 5 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?  Select.
A) 9P6
B) 9P3
C) 9C9
D) 9C5
E) 69

Solution: since we have to select random 5 numbers from 9 and they all are distinct. i think it should be 9C5 or 9C5.
Answer: D
In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going ? Pick
A) 45
B) 66
C) 44
D) 33
E) 61

Solution: Weight increased per person is 1 kg. Total increase in weight = 25 kgs Weight of new man is 70 kgs, (Which means his weight is 25 kgs heavier) The weight of the old man was 70 – 25 = 45 kgs   45nswer: 45
Answer: A
If P = Q/R, -1 < R < 0 and 4 < Q, which of the following is correct?	Select:
A) P > 4.  B) 0 < P <4.  C) -4 < P < 0.  D) P < -4.  E) P < -20.

Solution: Q is +veR is -ve   Eliminate AB   For min. value max. numerator and minimize dinominator   take Q=4.1P=-0.9   P=4.1/-0.9   P<-4   Ans P < -4.
Answer: D
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13
respectively Choose the correct choice from the following options:
A) 125
B) 127
C) 129
D) 131
E) None of these

Solution: Explanation:   In this type of question, its obvious we need to calculate the HCF, trick is   HCF of (1661 - 10) and (2045 -13)   = HCF (1651, 2032) = 127   Answer: Option 127
Answer: B
The average age of three boys is 120 years and their ages are in proportion 2:6:8. What is the age in years of the youngest boy?  Select the correct option
A) 10 B) 9 C) 15 D) 6 E) 12

Solution: 2x + 6x + 8x = 120   x =7.5   2x = 15   Answer:15
Answer: C
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?  Choose the correct choice from the following answers: A) 81000 B) 81007 C) 81008 D) 81066 E) 81022

Solution: 64000* 9/8 * 9/8= 
64000* 9/8 * 9/8 = 81_000
81000   81000nswer:81000
Answer: A
A certain car uses 12 gallons of gasoline in traveling 120 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Pick one:  A) 2  B) 4  C) 6  D) 8  E) 10

Solution: 120/10= 
120/10 = 12
12. The difference is  12- 10= 
 12- 10 = 2
2.   2nswer 2
Answer: A
A rower can row 6 km/h in still water. When the river is running at 2 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?  Choose the most appropriate option:
A) 2.21	B) 2.45	C) 2.67	D) 2.83	E) 2.95

Solution: Let x be the distance to Big Rock.   time = x/4 + x/8 = 1   x = 32/12 = 2.67 km   The answer is 2.67.
Answer: C
A bag contains 6 white balls, 7 black balls, and 7 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Select the correct option:
A) 0.25 B) 0.15 C) 0.35 D) 0.45 E) 0.4

Solution: Each ball has an equal probability of being the third ball drawn.   P(3rd ball is red) = 7/20= 
7/20 = 7/20 = around 0.35
0.35   The answer is 0.35.
Answer: C
10,8, x, 6
The median of the list of positive integers above is 7. Which of the following could be the average (arithmetic mean) of the list?
Choose the correct choice from the following options
A) 3  B) 5.5  C) 6.25  D) 7  E) 7.5

Solution: GivenThe median of the list of positive integers above is 7   So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 7   so the sequence will be x 6 8 10   Lets say x = 4, which gives us mean = sum/4 = 7   7 is correct
Answer: D
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 41. Then find the average for the last four matches? Select:
A) 33.25  B) 35.75  C) 34.25  D) 35  E) none

Solution: Solution   Required average	=(38.9 x 10)-(41 x 6)/ 4   = 143 / 4.= 
143 / 4. = 35.75
35.75   Answer 35.75
Answer: B
Volume of a hemisphere is 19404 cu. cm. Its radius is :	Answers.
A) 19 cm
B) 20 cm
C) 21 cm
D) 30 cm
E) None

Solution: Sol.   Let the radius be R cm. Then,   2/3 * 22/7 * R³ = 19404 ⇔ R³   = [19404 * 21/44] = (21)³ ⇔ R = 21 cm.   Answer 21 cm
Answer: C
A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?	Choose the correct choice
A) 1.2	B) 1.5	C) 1.8	D) 2.1	E) 2.4

Solution: Let x be the number of liters of ethanol added to the gas tank.   0.05(27) + x = 0.1(27+x)   0.9x = 2.7 - 1.35= 
2.7 - 1.35 = 1.35
1.35   x= 1.5 liters   The answer is 1.5.
Answer: B
An alloy contains only zinc and copper. One such alloy weighing 15-gm contains zinc and copper in the ratio of 2: 3 by weight. If 10 gm of zinc is added then find what amount of copper has to be removed from the alloy such that the final alloy has zinc and copper in the ratio of 4:1 by weight?  Choose the correct choice from the following answers:
A) 5 gm
B) 5.5 gm
C) 6 gm
D) 4.8 gm
E) 5.8 gm

Solution: Weight of zinc in the alloy= 6 gm and weight of copper in the alloy = 9 gms.   Suppose ’x’ gms of copper is removed.   Weight of copper in the alloy=9 - x   Weight of zinc in the alloy=6 + 10= 
6 + 10 = 16
16.   Now,16= 4(9 - x)   Therefore x = 5 gm   5 gmNSWER:5 gm
Answer: A
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?	Choose the correct choice from the following choices: A) 99 matches. B) 88 matches. C) 77 matches. D) 66 matches. E) 55 matches.

Solution: Solution:   99 matches.   The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 99 matches were played.   99 matches.nswer 99 matches.
Answer: A
The sum of ages of 5 children born 3 years different each is 60 yrs. What is the age of the Elder child?	Pick:
A) 17 B) 19 C) 16 D) 18 E) 21

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 60   5x = 30   x = 6.   x+12= 6+12= 
6+12 = 18
18   18
Answer: D
If two integers x, y (x>y) are selected from -10 to 1 (inclusive), how many possible cases are there?	Choose the correct answer: A) 150 B) 66 C) 190 D) 210 E) 240

Solution: If two integers x, y (x>y) are selected from -10 to 9 (inclusive), how many possible cases are there?   A. 150   B. 180   C. 190   D. 210   E. 240   --> 12C2=12*11/2= 
12*11/2 = 66
66. Therefore, the answer is 66.
Answer: B
A 48 lts container containing liquid A and B contains 25% liquid A. a few lts of the mixture is released and replaced with equal amount of Liquid B. If this process is repeated once, the cylinder is found to contain 16% liquid A .How many lts of the mixture was released each time.?	Options:
A) 4.8	B) 9.6	C) 7.68	D) 9	E) None of the Above

Solution: 25% of mixture is liquid A => 12 ltrs of liquid A and 36 ltrs of liquid B together form 48 ltrs of the mixture.   This implies that the ratio of liquids A and B in the mixture is is 1:3   Let the amount of liquid removed i x ltrs => x/4 ltrs of liquid A and 3x/4 ltrs of liquid B is removed.   Given that the x liters of mixture removed is added with same quantity of liquid B =>   12-(x/4) + {36-(3x/4) + x} = 48   => {12 -(x/4)} + {36 + x/4} = 48   The ratio of liquid A to total mixture after first time the process is done = 16% =>   {12- (x/4)} / 48 = 16/100   12- (x/4) = 7.68   x/4 = 4.32 => x= 17.28   ANSWER:7.68
Answer: C
When tossing two coins once, what is the probability of heads on both the coins?  Choose the correct choice:
A) 1/4
B) 1/2
C) 3/4
D) 1/3
E) None of the above

Solution: Total number of outcomes possible when a coin is tossed = 2 (âˆµ Head or Tail)   Hence, total number of outcomes possible when two coins are tossed, n(S) = 2 Ã— 2 = 4   (âˆµ Here, S = {HH, HT, TH, TT})   E = event of getting heads on both the coins = {HH}   Hence, n(E) = 1   P(E) = n(E)/n(S)=1/4   1/4nswer:1/4
Answer: A
An art gallery owner is hanging paintings for a new show. Of the seven paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choose the correct choice from the following answers
A) 18 B) 30 C) 64 D) 840 E) 216

Solution: Arrangement means permutations questions..   7P3 = 7!/3! = 840   .   ANS option 840 is correct answer..
Answer: D
Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Aliâ€™s speed must most likely be ? Choices:	A) 2 m/h	B) 7 m/h	C) 6 m/h	D) 9 m/h	E) 0 m/h

Solution: Explanation:   let, speed of Ali=X mph and Faizer=Y mph   Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mph   hence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1)   Now relative speed when walking in the opposite direction= (X+Y) mph   hence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2)   solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.   Answer: 6 m/h
Answer: C
A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?	Choose the correct choice from the following answers:	A) 6	B) 0	C) 7	D) 5	E) 4

Solution: 45*12 : 54*x = 2: 1   x = 5   12 -5= 
12 -5 = 7
7   Answer:7
Answer: C
Simplify 586645 * 9999	Pick one:
A) 5865863355	B) 5665863355	C) 4865863355	D) 4665863355	E) None of these

Solution: Explanation:   Although it is a simple question, but the trick is to save time in solving this.   Rather than multiplying it we can do as follows:   586645 * (10000 - 1) = 5866450000 - 586645= 
5866450000 - 586645 = 5_865_863_355
5865863355   Option 5865863355
Answer: A
In how many no. between 10 and 30 exactly Two of the digits is 3?	Choose the correct choice from the following choices:
A) 1	B) 20	C) 30	D) 40	E) 50

Solution: It's simple can be solved by elimination of answer choices.   Option B and C are too large, not possible. Even DE are large to have correct choice.   1ns : 1
Answer: A
An article is bought for Rs.823 and sold for Rs.1000, find the gain percent?  Choices:
A) 21.4%
B) 21.5%
C) 21.6%
D) 21.7%
E) 21.8%

Solution: 823 ---- 177   100 ---- ? => 21.5%   Answer:21.5%
Answer: B
Ann is organizing a two day workshop next month. Exactly 100 people will be attending either one day kje the workshop or both. Out of them, 70% will be there for the first day, and 80% for the second. Help Ann calculate how many people will be present for both days of the workshop?  Choose the correct choice from the following choices
A) 30
B) 40
C) 50
D) 60
E) 70

Solution: The total number of people attending the workshop is n = 100.   The number of people attending the first day of the workshop is 70% of it, thus   n (A)=70/100×100=70.   The number of people attending the second day of the workshop is 80%, thus   n (B)=80/100×100=80.   In order to calculate the number of people attending both days of the workshop we can use the following equation:   n (AnB)=n (A)+n (B) -n = 70+80-100=150-100= 
150-100 = 50
50   So, 50 people will be attending both the first and the second day of Ann's workshop.   ANSWER: 50
Answer: C
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?	Choose one:
A) 12
B) 55
C) 77
D) 82
E) 22

Solution: Part filled by A in 1 min. = 1/20   Part filled by B in 1 min. = 1/30   part filled by (A + B) in 1 min. = 1/20 + 1/30 = 1/12.   Both the pipes can fill the tank in 12 minutes.   12nswer: 12
Answer: A
A bowl contains pecans, cashews, and almonds in a ratio of 4 : 6 : 9, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10 Choose one:
A) II only	B) III only	C) I only	D) II,III only	E) I,III only

Solution: i. The ratio 2 : 3 is the same as the given ratio 6 : 9. If one pecan were removed, the new ratio would be 3 : 6 : 9, or 1 : 2 : 3.   ii. None of the nuts currently have a ratio of 3 : 4. The cashews and almonds do have a ratio of 2 : 3, but there are not enough pecans in the bowl to complete the ratio.   iii. The ratio 4 : 10 is the same as the given ratio 6 : 15. To see this, multiply the ratio by 3/2 . The new ratio is 6 : 10.5 : 15. Unfortunately, this means that there are fewer cashews that this ratio would require. Removing cashews won’t create the desired ratio.   Answer : I only
Answer: C
In the coordinate plane, points (x, 1) and (12, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
Choose the correct choice from the following answers.
A) 4.5  B) 7  C) 8  D) 11  E) 12

Solution: Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x.   Thus: (x, 1)=(2, 1) and (12, y) = (12,6) --> x+y=2+6= 
2+6 = 8
8.   Answer: 8.
Answer: C
Johnny borrows $30,000 from Tony at 4% daily interest compounded daily. How much does Johnny owe Tony after 6 weeks? Choose the correct choice.
A) 30000*0.02^56  B) 30000*1.12  C) 30000*2.12  D) 30000*1.04^42  E) (30000*1.02)^56

Solution: A=A= P(1+r100)^n   So, A=30000(1+4/100)^7âˆ—6   So, A=A= 30000(1.04)^42   Hence answer will be (30000*1.04^42)
Answer: D
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 13 percent, what was the annual interest rate last year? Select the correct option:
A) 1%
B) 1.1%
C) 9.1%
D) 11.81%
E) 11.50%

Solution: 13=1.1*x   X=11.81%   Answer 11.81%)
Answer: D
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is? Choose the correct answer
A) 65 years	B) 40 years	C) 54 years	D) 46 years	E) 13 years

Solution: Sum of the present ages of husband, wife and child   = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present age of wife and child= (20 * 2 + 5 * 2)= 
(20 * 2 + 5 * 2) = 50
50 years.   Husband's present age   (90 - 50)= 
(90 - 50) = 40
40 years.   Answer:40 years
Answer: B
Two cars started at the same time, from the same point, driving along the same road. The rate of the first car is 50 mph and the rate of the second car is 60 mph. How long will it take for the distance between the two cars to be 30 miles? Choose the correct choice from the following options:
A) 1 hrs B) 2 hrs C) 3 hrs D) 4 hrs E) 5 hrs

Solution: car 1 50 50 50 total=150   car 2 60 60 60 total=180 differece=30miles after 3 hrs.   ANSWER:3 hrs
Answer: C
A starts business with Rs.3500 and after 9 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ? Choose the most appropriate option: A) 24887 B) 20778 C) 23788 D) 21000 E) 2811

Solution: Explanation:   A invested Rs.3500 for 12 months.   Let B joined with investment x. And he invested for 12 - 9= 
12 - 9 = 3
3 months.   So there profit ratio= (3500 Ã— 12) : (3x) = 2 : 3   â‡’ x = 21000   Answer: 21000
Answer: D
Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
Select the correct option
A) 5 years B) 10 years C) 20 years D) 25 years E) None

Solution: Solution   Let Rajeev's present age be x years. Then   Rajeev's age 15 years	= (x+15) years.   Rajeev's age 5 years back	= (x-5) years.   Therefore	‹=› x+15=5(x-5)   ‹=› x+15= 5x-25   ‹=› 4x=40   ‹=› x=10.   Answer 10 years
Answer: B
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?  Choose the correct choice from the following answers
A) 22 B) 56 C) 78 D) 112 E) 175

Solution: 1) We know that   decimal part of decimal quotient ={remainder/divisor}   So 0.08, the decimal part of the decimal quotient, must equal the remainder, 14, divided by the divisor J.   0.08 = 14/J   0.08*J = 14   J = 14/0.08 = 1400/8 = 700/4 = 350/2= 
350/2 = 175
175   So J= 175, answer = 175.
Answer: E
A certain barrel, which is a right circular cylinder, is filled to capacity with 50 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?	Choose the correct choice from the following:
A) There is no empty capacity
B) 100 gallons
C) 350 gallons
D) 700 gallons
E) 800 gallons

Solution: Radius of first cylinder=r, diameter=2r, height=h   Radius of second cylinder=2r, diameter=2d and height=2h   Volume of first cylinder=pie (r^2)*h=50   Volume of second cylinder=pie(2r^2)2h   Put the value of pie (r^2)*h=50 in the second cylinder,volume= pie (r^2)*4*2=50*8= 
50*8 = 400
400 gallons   Empty capacity=350 gallons   Answer 350 gallons
Answer: C
Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more 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 option:
A) 21:32	B) 32:21	C) 12:17	D) 17:12	E) 34:21

Solution: Here capital is not the same.   Suresh invested 20000 for initial 6 months and 15000 for the next 6 months. Hence his term of ratio   =(20000×6+15000×6)   Kiran invested Rs.30000 for 4 months and Rs.50000 for next 4 months. Hence his term of ratio   =(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
If m and n are both negative and mn < n^2, which of the following must be true?	Pick one
A) m < n < m^2 < n^2	B) m < n < n^2 < m^2	C) n < m < m^2 < n^2	D) m^2 < n^2 < n < m	E) n^2 < m^2 < n < m

Solution: Because mn < n^2 and both are negative, I thought m < n. So I crossed off answers c), d), and e).   And because m < n , m^2 < n^2   ans n < m < m^2 < n^2
Answer: C
If p/q =4/5, then the value of 6/7 + {(2q - p) / (2q + p)} is ?	Options.
A) 3 / 7	B) 34	C) 10/7	D) 2	E) 3

Solution: Answer   Given Exp. = 6 / 7 + {(2q - p) / (2q + p)}   Dividing numerator as well as denominator by q,   Exp = 6/7 + {2-p/q) / (2 + p/q)}   = 6/7 + {(2 - 4/5) / (2 + 4/5)}   = 6/7 + 6/14   = 6/7 + 3/7   =10/7   10/7orrect Option: 10/7
Answer: C
In 10 years,A will be thrice as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :  Choices.
A) 19 Years	B) 24.5 Years	C) 39 Years	D) 49 Years	E) 59 Years

Solution: Solution   Let B's present age = x years.Then,A's present age =(x +9) years.   âˆ´ (x + 9)+ 10 = 3 (x - 10) â‡” x + 19 = 3x- 30 â‡” 2x = 49 x = 24.5.Answer 24.5 Years
Answer: B
When positive integer c is multiplied by positive integer n, the units digit of the product is 3. Which of the following are factors of n?
I. 8
II. 15
III. 30 Choose the most appropriate option:  A) I only  B) II only  C) I and II only  D) II and III only  E) None of the above

Solution: ans E..   we can tell the ans w/o using examples..   the units digit of product c*n is 3..   this means c and n are odd positive integers..   therefore n cannot have an even factor so 8 and 30 are out..   n cannot have a factor ending in 5 because in that case the units digit has to be 5 or 0... so 15 is also out
Answer: E
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?  Choose the correct option
A) 30 minutes	B) 17 minutes	C) 15 minutes	D) 10 minutes	E) 12 minutes

Solution: Part of the filled by all the three pipes in one minute   = 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10   So, the tank becomes full in 10 minutes.   Answer: 10 minutes
Answer: D
How long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?  Choose the correct choice from the following
A) 18	B) 16	C) 15	D) 11	E) 12

Solution: D = 100 + 150= 
100 + 150 = 250
250 m   S= 50 * 5/18 = 125/9   T = 250 * 9/125= 
250 * 9/125 = 18
18 sec   18nswer:18
Answer: A
Which of the following integers is a divisor of(15!+12)?
Choose the correct choice:
A) 15  B) 14  C) 12  D) 7  E) 2

Solution: When we say 15!, it just means 1*2*3*4*5*...*13*14*15   So you need to find the integer which is a divisor of   (1*2*3*4*5*...*13*14*15 + 12) = 12 (1*2*3*4*5*...11*13*14*15 + 1) We obtain this by taking 12 common.   Hence 12 is definitely a divisor of (15! + 12).   12
Answer: C
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?  Choices.
A) 21	B) 22	C) 25	D) 26	E) 28

Solution: 30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16   => x = 14/16 * 24= 
14/16 * 24 = 21
21.   21NSWER 21
Answer: A
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be Choose the correct choice from the following answers:	A) 20% less than N	B) 25% less than N	C) equal to N	D) 20% greater than N	E) 25% greater than N

Solution: This year, the price of a tree is price1=P/N.   If this price increases by 25% it becomes price 2=P/N*1.25   Then with P dollars, you can grow P/price 2 tress i.e. P/(P/N*1.25) i.e. N/1.25 i.e. .80*N   Correct answer is (20% less than N).
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is	Choose the correct option:
A) 288  B) 767  C) 119  D) 287  E) 112

Solution: Explanation:   Number of words which can be formed = 5! - 1 = 120 - 1= 
120 - 1 = 119
119.   Answer: 119
Answer: C
A rectangular block 8cm by 24cm by 56cm is cut into an exact number of equal cubes. Find the least possible number of cubes? Choose the correct choice.
A) 6  B) 10  C) 15  D) 40  E) 21

Solution: Volume of the block = 8*24*56= 
8*24*56 = 10_752
10752 cm^3   Side of the largest cube= H.C.F of 8,24,56 = 8cm   Volume of the cube = 8*8*8= 
8*8*8 = 512
512 cm^3   Number of cubes= 10752/512= 
10752/512 = 21
21   Answer is 21
Answer: E
The floor of a rectangular room is 17 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is : Choose one
A) 124 m2 B) 132 m2 C) 148 m2 D) 152 m2 E) None of these

Solution: Area of the outer rectangle = 21 Ã— 16 = 336 m2   Area of the inner rectangle = 17 Ã— 12 = 204 m2   Required area = (336 â€“ 204) = 132 m2   Answer 132 m2
Answer: B