MU-NLPC/Calc-aqua_rat huggingface dataset:
A thief is spotted by a policeman from a distance of 200metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 18km/hr and that of the policeman 22km/hr, how far the thief will have run before he is overtaken ?
Choices.
A) A)900m  B) B)500m  C) C)650m  D) D)750m  E) E)800m

Solution: Relative speed of the policeman = 22-18= 
22-18 = 4
4 km/hr   time taken by policeman to cover 200m= (200/1000)*(1/4) = 1/20 hr   In 1/20 hr the thief covers a distance of 18/20 km = 9/10 km = 900m   900mnswer is 900m
Answer: A
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/500 that a person who randomly guesses the answer to each question will be a winner?
Answers:  A) 5  B) 10  C) 50  D) 100  E) 1000

Solution: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/500 that a person who randomly guesses the answer to each question will be a winner?   A.5   B.10   C.50   D.100   E.1000   Soln: ans is B   Probability that one question is answered right is 1/2.   Now for minimum number of questions needed to take probability less than 1/1000 is   => (1/2)^n < 1/1000   n = 10 satisfies this.   5
Answer: A
The faces of a triangular prism are to be painted by 5 different colors. In how many ways can be this be done?
Choose the correct choice:
A) A.720  B) B.256  C) C.1  D) D.120  E) E.36

Solution: If I have to paint 5 sides with 5 different colour...   First face can have 5c1 options,   2nd would have 4c1, and subsequent ones would have 3c1, 2c1 and 1 options respectively.   Total options = 5c1 x 4c1 x 3c1 x 2c1 x 1 = 120 distinct ways   Correct answer - D.120
Answer: D
If 9a = 16b what is (4a + 6b)/(15a - 16b)
Select the correct option.
A) 3
B) 4
C) 5
D) 59/48
E) 11

Solution: 4a + 6b )/( 15a - 16b )   = (4a + 6b)/(15a - 9a) (because 9a = 16b)   = (4a + 6b)/6a   = 2/3 + b/a   = 2/3 + 9/16 (because 9a = 16b, so b/a = 9/16)   = (32+27)/48   = 59/48   ANSWER:59/48
Answer: D
Conversation between two mathematicians:
First: I have three children. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbor's door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says "Ok one more clue is that my youngest is really the youngest". Immediately the second mathematician answers. Can you answer the question asked by the first mathematician? What are the children ages?  Select
A) 6,6, 1
B) 6,6, 2
C) 6,5, 1
D) 6,5, 2
E) 6,6, 3

Solution: Possible options for same sum of ages ( 13 here)with product of ages as 36 are   2,2,9   and   6,6,1   but in case of 2,2,9   youngest is not really youngest as two children of age 2 years are twins.   whereas   in case of 6,6,1   youngest is really youngest.   so 6,6, 1 is correct.   6,6, 1NSWER:6,6, 1
Answer: A
In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century , the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Choose the correct choice from the following answers:
A) 500%  B) 600%  C) 800%  D) 1100%  E) 1200%

Solution: Say initially population was 100.   What is 200% of 100? It is   200 /100 * 100= 
  200 /100 * 100 = 200
200.   An increase of 200% means the new population became  100 + 200= 
 100 + 200 = 300
300   What is 300% of 300? It is   300/100 * 300= 
  300/100 * 300 = 900
900   An increase of 300% means the new population now is  300 + 900= 
 300 + 900 = 1_200
1200   So from 100, the population increased to 1200 i.e. an increase of 1100.   1100 is what percent of 100?   1100= x/100 * 100   i.e. it is 1100% 1100%
Answer: D
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 49 revolutions, what will be the number of revolutions made by the larger wheel? Choose the correct choice from the following options:
A) 15	B) 12	C) 21	D) 9	E) 22

Solution: Explanation:   Let the number of revolutions made by the larger wheel be x   More cogs, less revolutions (Indirect proportion)   Hence we can write as   (cogs) 6 : 14 :: x : 49   â‡’6Ã—49=14 Ã— x   â‡’x = 21   Answer: Option 21
Answer: C
Mr. Thomas investe d 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:  A) Rs.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.Rs.6400nswer:Rs.6400
Answer: A
A school has 82635 pens to distribute between 9 classes. If split evenly between classes, how many pens would be left over?	Answers.
A) 6
B) 4
C) 1
D) 9
E) 2

Solution: First add the digits of the total pens. 82635=24. The closest number divisible by 9 is 18. 24-6=18. Therefore 6 pens would need to be removed. 6nswer 6.
Answer: A
For dinner at a restaurant, there are x +1 choices of appetizers, y main courses, and z +1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?	Choose one.
A) xyz+xy+yz+y
B) xyz + xz
C) xy + z + 1
D) xyz + 1
E) xyz + 1/2

Solution: x appetizers,   y + 1 main courses,   z dessert   Required: 1 appetizer, 1 main course, and 1 dessert   Number of ways possible = yC1*(x+1)C1*(z+1)C1 {NC1 = N! / (N-1)!*1! = N}   Hence, number of ways = y(x+1)(z+1) = (xy + y)(z+1)=xyz+xy+yz+y   Correct Option: xyz+xy+yz+y
Answer: A
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 216 customers. How many more new tables than original tables does the restaurant have?  Choose the correct choice from the following choices
A) 10
B) 16
C) 24
D) 32
E) 36

Solution: If all the tables seated 4, the number of customers could be  4*40= 
 4*40 = 160
160.   216-160= 
216-160 = 56
56, so  56/2= 
 56/2 = 28
28 tables must be tables seating 6 people.   The number of tables seating 4 people is   40-28= 
  40-28 = 12
12.   The number of new tables is  28-12= 
 28-12 = 16
16 more than the number of old tables.   The answer is 16.
Answer: B
A train running at the speed of 72 km/hr crosses a pole in 9 seconds. Find the length of the train. Choices
A) 150 meter  B) 286 meter  C) 180 meter  D) 288 meter  E) 265 meter

Solution: Speed = 72*(5/18) m/sec   = 20 m/sec   Length of Train (Distance)   = Speed * Time     (20) * 9= 
  (20) * 9 = 180
180 meter   Answer:180 meter
Answer: C
At a constant Rate of flow, it takes 10 minutes to fill a swimming pool if a large hose is used and 15 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously? Choose one:
A) 6
B) 12
C) 15
D) 25
E) 50

Solution: time taken to fill the pool by Large Hose =10 minutes =L or 1/L=1/10 similarly 1/S=1/15   simultaneously it will take 1/L+1/S=1/10+1/15=5/30=6 minutes   6nswer : 6
Answer: A
In how many different ways can the letter of the word 'DEIFY' be arranged in such a way that the vowels occupy the odd positions?
Choose the correct choice from the following
A) 45 B) 36 C) 12 D) 24 E) 85

Solution: In the given word there 5 letters in that there are 2 vowels and 3 consonants   no of ways of arranging the vowels=2p2=2   no of ways of arranging the consonants=3p3=6   total number of ways 6*2= 
6*2 = 12
12   Answer(12)
Answer: C
What is the sum of the different positive prime factors of 500?
Choose the correct choice from the following choices
A) 10  B) 7  C) 15  D) 16  E) 18

Solution: 500   50*10 --> 5*5*2*2*5 --> 5+2=7. Remember its asking for the DIFFERENT positive prime factors of 500.   7
Answer: B
A sum of the money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, What is B's share?
Choose the correct option.
A) 1000
B) 1500
C) 2500
D) 2000
E) 3200

Solution: Let the share of A,B,C,2000 be 5x, 2x, 4x, 3x   then 4x-3x = 1000   x=1000   B's share = 2*1000= 
2*1000 = 2_000
$2000   Answer is 2000
Answer: D
If a = (1/3)b and c = 2a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ? Options.
A) a + 4	B) 2a	C) 4a	D) (4 1/7)a	E) (7 1/4)a

Solution: Official Answer: B   The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.   Were told that a =1/3b, which is equivalent to b = 3a. We can plug that in and simplify the average to:a + 3a + c/3   We also know that c = 2a, which we can plug directly into the average expression:   a + 3a + 2a/3   = 6a/3 = 2a, choice2a.6 /3= 
6 /3 = 2
2a, choice2a.
Answer: B
If the sides of a triangle are 17.2 cm, 14 cm and 10 cm, what is its area? Choose one.
A) 60 cm^2  B) 70 cm^2  C) 80 cm^2  D) 85 cm^2  E) 90 cm^2

Solution: The triangle with sides 17.2 cm, 14 cm and 10 cm is right angled, where the hypotenuse is 17.2 cm.   Area of the triangle   = 1/2 * 14 * 10= 
1/2 * 14 * 10 = 70
70 cm^2   Answer: 70 cm^2
Answer: B
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate? Choose the correct answer
A) 12 1/2 years	B) 12 1/7 years	C) 12 8/2 years	D) 13 1/2 years	E) 22 1/2 years

Solution: 100 ---- 200 ---- 5   200 ---- 5   100 ---- 2 1/2   ------------------   600 ---- 12 1/2 years   12 1/2 yearsnswer: 12 1/2 years
Answer: A
In what time a sum of money double itself at 8% per annum simple interest?
Choose the most appropriate option
A) 33 1/8%	B) 33 1/3%	C) 33 7/3%	D) 32 1/3%	E) 12 1/2%

Solution: P = (P*8*R)/100   R = 12 1/2%   Answer: 12 1/2%
Answer: E
A sum of Rs.1000 at simple interest amounts to Rs. 1192 in 4 years. The S.I. for 1 year is: Choose the correct answer:
A) Rs. 45 B) Rs. 70 C) Rs. 39 D) Rs. 72 E) Rs. 48

Solution: S.I. for 4 years = Rs. (1192 - 1000) = Rs. 192.   S.I. for 1 year = Rs. 192/4 = Rs. 48.   Answer: Option Rs. 48
Answer: E
In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1600 employees, then the no. of female employees who are computer literate ?
Choose the correct option: A) 690 B) 674 C) 672 D) 960 E) None

Solution: Solution: Total employees,   = 1600   Female employees, 60% of 1600.   = (60 *1600) /100= 
(60 *1600) /100 = 960
960.   Then male employees,= 640   50 % of male are computer literate,   = 320 male computer literate.   62 % of total employees are computer literate,   = (62 *1600) /100= 
(62 *1600) /100 = 992
992 computer literate.   Thus, Female computer literate= 992 - 320= 
992 - 320 = 672
672.   Answer: Option 672
Answer: C
A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?  Choose the correct choice from the following answers
A) 5.02  B) 4.92  C) 4.82  D) 4.72  E) 4.61

Solution: M = 10   S = 1.2   DS = 10 + 1.2= 
10 + 1.2 = 11.2
11.2   US= 10 - 1.2= 
10 - 1.2 = 8.8
8.8   x/11.2 + x/8.8= 1   x = 4.92.Answer: 4.92
Answer: B
Joseph has 3/4 number of books as that of Ron. If each of them add 5 books, what will be the ratio of these two new books numbers ?  Choose the correct choice.
A) 3/4 B) 8/9 C) 18/19 D) 23/24 E) It cannot be determined from the information given

Solution: 3/4 = 3x/4x   we need to find out (3x+5)/(4x+5) off course we cannot solve this to arrive at any rational number hence It cannot be determined from the information given.
Answer: E
A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?
Choose one:
A) 1250m/min  B) 1133.33m/min  C) 2560m/min  D) 1670m/min  E) 1890m/min

Solution: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify   68 kilometers per hour = 68 km/hr   = (68 × 1000 meters) / (60 minutes) = 1,133.33 meters / minute   correct answer is 1133.33m/min)1133.33m/min
Answer: B
what should be the length of rope which is tied to one end to cow and other end to holder.so,that cow can graze 9856 sq.m?
Options
A) 56 m B) 64 m C) 88 m D) 168 m E) 102 m

Solution: πr^2=9856   r^2=[7/22*9856]=[448*7]=[64*49]=[8*7]^2=56^2   r=56 m   answer 56 m
Answer: A
If 3/p=5 & 3/q=15 then p-q=?
Pick:	A) 5/24	B) 6/24	C) 2/15	D) 8/24	E) 9/24

Solution: p=3/5 , q=3/15=>q=1/5   therefore   p-q=(3/5)-(1/5)=2/15   ANSWER:2/15
Answer: C
An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?
Choose the correct choice from the following.
A) 76	B) 100	C) 162	D) 198	E) 202

Solution: We have 3 scenarios here:   1) 1 tech2 businessmen: 4C1 x 6C2 = 60   2) 2 tech1 businessman: 4C2 x 6C1 = 36   3) 3 tech0 businessmen: 4C3 = 4   Total:  60+36+4= 
 60+36+4 = 100
100   Answer: 100
Answer: B
After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices.
A) 2999  B) 1689  C) 5000  D) 2789  E) 2675

Solution: Given SP = Rs. 6800   Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15)   = Rs. 8000   If SP = Rs. 8000, profit = 60%   5000P = [SP(100)]/(100 + 60) = (8000 * 100)/160   = Rs.5000   Answer: 5000
Answer: C
If the farmer sells 75 of his chickens, his stock of feed will last for 20 more days than planned, but if he buys 100 more chickens, he will run out of feed 15 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?  Pick
A) 60 B) 120 C) 240 D) 275 E) 300

Solution: Let V denote the volume of feed one chicken consumes per day. Then the total volume of feed in stock will be V∗D∗C where D is the number of days the feed will last if the number of chickens does not change and CC is the current number of chickens. From the question it follows that   V(D+20)(C−75)=VDC   V(D−15)(C+100)=VDC   The first equation simplifies to 20C−75D=1500. The second equation simplifies to (−15)C+100D=1500 After dividing everything by 5 we get the linear system:   4C−15D=300   (−3)C+20D=300   Solving it we get C=300 D=60   Answer: 300
Answer: E
A bowl was filled with 100 ounces of milk, and 0.004 ounce of the milk evaporated each day during a 90-day period. What percent of the original amount of milk evaporated during this period? Choose one
A) A)0.0036%	B) B)0.36%	C) C)3.6%	D) D)36%	E) E)42%

Solution: Total amount of milk evaporated each day during a 90-day period = .004 * 90= 
.004 * 90 = 0.36
.36   percent of the original amount of milk evaporated during this period= (0.36/100) * 100= 
(0.36/100) * 100 = 0.36
0.36 %   Answer 0.36%
Answer: B
what is the next no. 4 12 84  Choose the correct choice.
A) 632
B) 732
C) 832
D) 850
E) 902

Solution: 3^0 + 3 = 4   3^2 + 3 = 12   3^4 + 3 = 84   3^6 + 3 = 732   ANSWER:732
Answer: B
There are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks? Answers:  A) 5/36  B) 7/64  C) 9/83  D) 11/111  E) 13/135

Solution: 12/37*11/36 = 11/111   The answer is 11/111.
Answer: D
what is the remainder when 46! is divided by 47
Choose the correct choice from the following choices
A) 46  B) 47  C) 45  D) 44  E) 43

Solution: when 2!/3 remainder is 2   4!/5 remainder is 4   6!/7 remainder is 6   so when the number is prime in the divisor then the remainder is (no.-1)   46 will be the remainder   46NSWER:46
Answer: A
A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Choose one
A) 4/78	B) 7/15	C) 15/7	D) 5/8	E) 3/7

Solution: LET S 7/15E THE SAMPLE SPACE   THEN N(S)=NO OF WAYS OF DRAWING 2 7/15ALLS OUT OF (6+4)= 
(6+4) = 10
10C2=(10*9)/(2*1)= 
(10*9)/(2*1) = 45
45   LET E=EVENT OF GETTING 7/15OTH 7/15ALLS OF SAME COLOUR   THEN N(E)=NO OF WAYS(2 7/15ALLS OUT OF SIX) OR(2 7/15ALLS OUT OF 4)   =(6C2+4C2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6= 
15+6 = 21
21   P(E)=N(E)/N(S)=21/45=7/15   Ans: 7/15
Answer: B
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 16,000 after 3 years at the same rate?
Answers: A) 2372 B) 2572 C) 4542 D) 2343 E) 5296

Solution: Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.   R = 100 x 60 = 10% p.a.   100 x 6   Now, P = Rs. 16000. T = 3 years and R = 10% p.a.   C.I.   = Rs. 16000 x 1 +	10 3	- 1   100   = Rs. 16000 x	331   1000   = 5296.   5296
Answer: E
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Select the correct option
A) 7/41 B) 3/41 C) 9/42 D) 4/51 E) 5/13

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: C
0.99999 + 0.11111 = ?
Pick:
A) 1	B) 1.0001	C) 1.0021	D) 1.111	E) 1.1111

Solution: 0.99999 + 0.00001= 
0.99999 + 0.00001 = 1
1   0.1111 + 1= 
0.1111 + 1 = 1.1111
1.1111   Correct answer is 1.1111.
Answer: E
A train 300 m long can cross an electric pole in 15 sec and then find the speed of the train?  Choose the correct choice from the following choices.
A) 65 Kmph B) 70 Kmph C) 72Kmph D) 75 Kmph E) 78 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 300/15= 
300/15 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   ANSWER:72Kmph
Answer: C
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choose the correct choice from the following answers.
A) 55
B) 60
C) 64
D) 59
E) 67

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: C
If 3 and 5 are prime numbers, which of the following CANNOT be the sum of 3 and 5?
Choose the correct answer: A) 9 B) 11 C) 13 D) 8 E) 19

Solution: ans : 9
Answer: A
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 4 teaching assistants?
Choose the correct choice from the following options:
A) 111
B) 112
C) 113
D) 114
E) 115

Solution: (4/3)*85=113 plus remainder   The answer is 113.
Answer: C
In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department? Choose the correct choice
A) 15%	B) 116%	C) 136%	D) 155%	E) 160%

Solution: Female students in 2005 = 30% of 40 = 12   Female students in 2007 = 40% of 65 = 26   Percentage increase = [(26 - 12)/12] *100 % = 116%   Correct Option: 116%
Answer: B
7^6n -1^ 6n When n is an integer > 0 is divisible by Answers:  A) 119  B) 127  C) 131  D) 132  E) 134

Solution: 127   127
Answer: B
How many different ways can 2 students be seated in a row of 7 desks, so that there is always at least one empty desk between the students?
Choose the correct choice from the following:
A) 2 B) 3 C) 30 D) 6 E) 12

Solution: 15 ways to seat the students:   with two empty seats between   1 empty w/ one student on the left most   1 empty....right most   two students can be interchanged   15x2=30   30
Answer: C
A 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Select the correct option.
A) 287	B) 350	C) 600	D) 277	E) 122

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/54 = 50/3   3x + 900 = 2700 => x = 600 m.   Answer: 600
Answer: C
How many even four-digit integers smaller than 2000 are there such that all their digits are different?  Choices
A) 190	B) 212	C) 224	D) 240	E) 280

Solution: Case 1: Numbers starting with 1 followed by an EVEN number   The hundreds digit can take 5 numbers (0,2,4,6,8) so 5 ways   The unit digit can take remaining 4 EVEN numbers left after using 1, to be EVEN so 4 ways.   The tens digit can take remaining 7 numbers left after using 3 numbers so 7 ways.   Total = 5*4*7= 
5*4*7 = 140
140   Case 2: Numbers starting with 1 followed by an ODD number   The hundreds digit can take 4 numbers (3,5,7,9) so 4 ways   The unit digit can take 5 numbers (0, 2, 4, 6, 8) to be EVEN, so 5 ways.   The tens digit can take remaining 7 numbers left after using 3 numbers so 7 ways.   Total= 4*5*7= 
4*5*7 = 140
140   Hence 140+140= 
140+140 = 280
280, correct answer is 280
Answer: E
What is the largest number of four digits which is divisible by 15, 25, 40 and 75 ?	Choices.
A) 9600	B) 5200	C) 362	D) 958	E) 258

Solution: Explanation:   Largest number of four digits = 9999   LCM of 15, 25, 40 and 75 = 600   9999 ÷ 600 = 16, remainder = 399   Hence,Largest number of four digits which is divisible by 15, 25, 40 and 75   = 9999 - 399= 
9999 - 399 = 9_600
9600   9600nswer:9600
Answer: A
If x+y=20, x-y=10, for integers of x and y, x=?	Pick one:
A) 15
B) 20
C) 25
D) 13
E) 42

Solution: x+y =20   x-y = 10   2x = 30   x = 15   15nswer is 15
Answer: A
What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?	Select.
A) 94983	B) 49198	C) 43983	D) 41288	E) 43981

Solution: Explanation:   74330 Largest   30347 Smallest   -------------   43983   Answer: 43983
Answer: C
Mary's income is 60% more Than Tim's income and Tim's income is 10% less than Juan's income.What % of Juan's income is Mary's income.
Pick one:
A) 144%	B) B.120%	C) 96%	D) 80%	E) 64%

Solution: Even I got 96%   J = 100   T = 100*0.9= 
100*0.9 = 90
90   M= 90*1.6= 
90*1.6 = 144
144   If Mary's income is x percent of J   M= J*x/100   x = M*100/J = 144*100/100= 
144*100/100 = 144
144   144%ns:144%
Answer: A
Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Select the correct option.
A) 1797	B) 1250	C) 1540	D) 1600	E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1500= 6x + 15   5x = 1485   x = 297   Large number = 297+1365 = 1797   1797
Answer: A
Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 30% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Select.
A) 23% less than N	B) 25% less than N	C) equal to N	D) 20% greater than N	E) 25% greater than

Solution: Correct answer is (A).   This year, the price of a tree is price1=P/N.   If this price increases by 30% it becomes price2=P/N*1.30   Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.30) i.e. N/1.30 i.e. 77%
Answer: A