MU-NLPC/Calc-aqua_rat huggingface dataset:
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :  Choose the correct choice from the following:
A) 285 B) 290 C) 297 D) 305 E) None of these

Solution: Explanation:   Since the month begins with a Sunday, so there will be five Sundays in the month,   Required average = (510 * 5 + 240 * 25) / 30 = 8550/30= 
8550/30 = 285
285. 285nswer: 285
Answer: A
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week?	Choose the correct choice from the following choices:	A) A)Rs.180	B) B)Rs.200	C) C)Rs.250	D) D)Rs.280	E) E)Rs.300

Solution: Let the amount paid to A per week = x   and the amount paid to B per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Option 'Rs.250'
Answer: C
The price of petrol increased by 25% and so a person reduced his consumption by 25%. What percentage is the rise or fall in the expenditure incurred by him on petrol ?
Choose the correct choice from the following choices: A) 6.25% B) 6.50% C) 6.76% D) 6.80% E) 6.0%

Solution: Assume he consumes 100 liters of petrol,and petrol costs him Rs.100/-   His total expenditure = Rs.10000/-   Now price got increased by 25%. If a value got increased by 25% then the new value is 125% of the previous value. so 125%(100) = Rs.125   But he reduced his consumption by 25%, so his new consumption is 75%(100) = 75   His total expenditure = 125 x 75 = Rs.9375   Percentage change in the expenditures = 10000−9375/10000×100=6.25%   6.25%nswer 6.25%
Answer: A
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ? Choose the correct answer.
A) 6
B) 7
C) 8
D) 12
E) 9

Solution: If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.   Side 1 = 8 m/h --> 4 m in 1/2 hr   Side 2 = 16 m/h --> 8 m in 1/2 hr   to complete this right angle triangle   d^2 = 4^2 + 8^2   d^2 = 80   = ~ 9   Answer option 9
Answer: E
7 years ago, Paula was 3 times as old as Karl. In 2 years, Paula will be twice as old as Karl. What is the sum of their ages now?  Choose the correct choice from the following answers
A) 26	B) 32	C) 38	D) 44	E) 50

Solution: P-7 = 3(K-7) and so P = 3K-14   P +2= 
 +2 = 2
2(K+2)   (3K-14)+2= 2K+4   K = 16   P = 34   P+K = 50   The answer is 50.
Answer: E
A bicycle marked at Rs. 2,000, is sold with two successive discount of 20% and 10%.An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is:	Choose the correct choice from the following answers.
A) Rs. 1,368 B) Rs. 1,468 C) Rs. 1,568 D) Rs. 1,668 E) None

Solution: Solution: Marked Price = 2000.   SP after first Discount of 20% = 2000 - 20% of 2000 = 1600.   SP after second Discount of 10% = 1600 - 10% of 1600 = 1440.   Now, the final selling price at cash = 1440 - 5% of 1440 = Rs. 1368.   Short-Cut by using Graphic Change   2000(MP)==20%(disc.)==>1600==10%(disc.)==>1440==5%(disc.)==>1368(SP).   Rs. 1,368nswer: Option Rs. 1,368
Answer: A
An investor receives a total combined return of 6% on his two different investments. On his $10,000 investment he receives a return of 5%. What is the return on his $20,000 investment? Answers:
A) 7.25%  B) 6.5%  C) 8%  D) 8.5%  E) 9%

Solution: 0.05 * 10000 + 20000x = 0.06(30000)   solving for x give x = 6.5%   option 6.5%
Answer: B
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Choose one.
A) 1278	B) 2400	C) 2771	D) 1271	E) 1132

Solution: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.   Then, 2x + 4y = 1600 .... (i)   and x + 6y = 1600 .... (ii)   Simplification mcq solution image   Solving (i) and (ii) we get x = 400, y = 200.   ∴ Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.   Answer: 2400
Answer: B
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 150. What is the manager's monthly salary ?  Select:
A) Rs.6003
B) Rs.6029
C) Rs.4650
D) Rs.6108
E) Rs.6011

Solution: Explanation:   Manager's monthly salary Rs. (1650 * 21 - 1500 * 20) = Rs.4650.   Answer: Rs.4650
Answer: C
When sold at a 40% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?	Choose one
A) 20%
B) 40%
C) 50%
D) 80%
E) 100%

Solution: et the Marked up price =100..   Selling price= 100-40%of 100=60..   profit= 20%..   therefore the wholesale purchase cost= x.... 1.2x=60   or x=50...   marked price was 100 so 50 over 50...   so answer is 100%..   ANSW100%R:100%
Answer: E
If a company allocates 25 percent of its budget to advertising, 5 percent to capital improvements, and 20 percent to salaries, what fraction of its budget remains for other allocations? Choose the correct choice from the following
A) 1/5
B) 1/4
C) 1/3
D) 1/2
E) 2/5

Solution: 100%-(25%+5%+20%)=50% remains for other allocations --> 50% 100 -(25 +5 +20 )= 
100 -(25 +5 +20 ) = 50
50% remains for other allocations --> 50% = 50/100   --  50= 
  --  50 = 50
50/100= 1/2.   Answer: 1/2.
Answer: D
If x^2âˆ’2ax+a^2=0 get value of x/a	Choose the correct choice from the following choices
A) 2  B) 5  C) 6  D) 8  E) 1

Solution: a is obviously non-zero. We divide the equation by   a^2   we get (x/a-1)^2=0   x/a=1   ANSW1R 1
Answer: E
A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
Pick one.
A) 33
B) 46
C) 49
D) 53
E) 86

Solution: 4x+2 = 5y+2...........ie: 4x-5y = 0   x,y must be >1 and y is even ie ( 2,4,6,..etc)   if y = 2 thus x is fraction   if y = 4 thus x =5 n =22   if y = 6 thus x = not possible fraction   if y =8 thus x = 10 n =42   summation  22+42= 
 22+42 = 64
64   49
Answer: C
What will be the day of the week on 1st January, 2010 ?
Choose the most appropriate option:	A) Friday	B) Saturday	C) Sunday	D) Monday	E) None of these

Solution: 2000 years have 2 odd days.   = 11 odd days = 4 odd days.   1st January, 2010 has 1 odd day. Total number of odd days = (2 + 4 + 1)= 
(2 + 4 + 1) = 7
7= 0.   ∴ 1st January, 2010 will be Sunday.   Answer Sunday
Answer: C
If y is an integer, then the least possible value of |39 - 6y| is  Choose the most appropriate option:
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: We know that 6y is a multiple of 6, so let’s first look at the multiples of 6 closest to 39. We have “36” and “42”. Let’s subtract both of these from 39 and see which one produces the smallest result. When 6y = 36, y is 6 and when 6y = 42, y is 7. Let’s start with letting y = 6.   |39-6(6)|   |39-36|   |3| = 3   Next, let’s let y equal 5.   |39-6(7)|   |39-42|   |-3| = 3   We see that the smallest possible value of |39-6y| is 3.   Answer 4.
Answer: D
A miniature gumball machine contains 5 blue, 3 green, and 2 red gumball, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?	Select
A) 1/10 B) 1/8 C) 1/6 D) 1/5 E) 1/4

Solution: The total number of ways to dispense 3 gumballs is 10C3=120.   The number of ways to choose one of each color is   5*3*2= 
  5*3*2 = 30
30.   P(dispensing one of each color)=30/120=1/4.   The answer is 1/4.
Answer: E
John bought a total of 12 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 50 cents. If the average price of the 12 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?	Choose the correct choice from the following options: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: Let number of mangoes be x, number of oranges be 12-x   0.80x +(12-x)0.50/12 = 0.65   solving for x, we get x = 6 --> Mangoes 6, Oranges 6   Now, number of oranges to be returned be y   [0.80*6 + (6-y)*0.50]/12-y = 0.72   solving for y, y = 4   4ns: 4
Answer: A
A corporation triples its annual bonus to 50 of its employees. What percent W of the employees’ new bonus is the increase?  Options:
A) 50%  B) 662⁄3%  C) 100%  D) 200%  E) 300%

Solution: W of the employees’ new bonus is the increase Hence 662⁄3%.
Answer: B
Three numbers are in the ratio of 2 : 3 : 4. If the sum of the squares of the extremes is 180, then the middle number is:
Choose the correct choice from the following answers
A) 6  B) 12  C) 15  D) 9  E) 7

Solution: Number be = 2x,3x,4x, (2x)2 + (4x)2 =180   20x =180⇒x =9⇒x=3,   Midline number=3×3=9   Answer: 9
Answer: D
By selling an article at Rs.150, a profit of 25% is made. Find its cost price? Choose the correct choice from the following answers
A) s.486 B) s.455 C) s.487 D) s.120 E) s.489

Solution: SP = 150   CP = (SP)*[100/(100+P)]   = 150* [100/(100+25)]   = 150* [100/125]   = Rs.120   Answer: s.120
Answer: D
Randy can rebuild an automobile engine in a hours. Alvin can rebuild the same engine in b hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will have to complete? Choose the most appropriate option:  A) ab/(a+b)  B) (a-b)/(a+b)  C) b/(b-a)  D) a/(a+b)  E) b/(a+b)

Solution: Randy can do the job in a hrs, Alvin can do the job in b hrs.   When they work together, you need to find the fraction of work that Randy doesn't need to do i.e. the fraction that will be done by Alvin.   Ratio of Randy's speed:Alvin's speed = b:a (since time taken by them is in the ratio a:b)   So Randy does b/(a+b) of the work.   Answer (b/(a+b)).
Answer: E
A piece of work can finish by a certain number of men in 100 days. If however, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
Select:	A) 75	B) 82	C) 100	D) 110	E) 120

Solution: Originally let there be x men.   Less men, more days (Indirect)   :. (x-10): x : : 100 :110 or x-10/x = 100/110   or 11x-110 = 10x or x =110   So, originally there were 110 men.   ANSWER:110
Answer: D
85% of a number is a dded to 24, the result is the same number. Find the number?  Choose the correct choice from the following answers: A) 28 B) 288 C) 279 D) number=160 E) 232

Solution: (85/100) * X + 24 = X   3X = 480   X = 160   Answer:number=160
Answer: D
2,100 has how many positive divisors?
Choose one
A) 24
B) 30
C) 36
D) 40
E) 48

Solution: By factorization, we can write 2100 as 2100=2^2*3*5^2*7.   The number of factors is (2+1)(1+1)(2+1)(1+1) = 36   The answer is 36.
Answer: C
How many odd, positive divisors does 740 have?
Choose the correct choice.
A) 6
B) 8
C) 12
D) 15
E) 24

Solution: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=15 factors.   Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.   Answer: 15.
Answer: D
Josh spends a total of $5.5 buying A items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then A may be which of the following?
Answers:
A) 99
B) 100
C) 101
D) 112
E) 113

Solution: A items in the convenience store$5.5 = 550 cents   550 = 50a + 5b   =>110 = 10a + b   b = 110 - 10a = 10(11-a)   Hence b is even and multiple of 10.   Possible values of b:   b = 10,20,30,40,50,60,70,80,90,100   a = 11,9,8,7,6,5,4,3,2,1   The total (a+b) is 21,29,38,47,56,65,74,83,92,101   The only option is 101. Hence 101.
Answer: C
P and Q together can do a work in 6 days. If P alone can do it in 15 days. In how many days can Q alone do it? Choose the most appropriate option.
A) 5
B) 4
C) 10
D) 11
E) 12

Solution: 1/6-1/15 ==>1/10   ==>10   ANSWER 10
Answer: C
Set M contains number that satisfy the condition that, if integer x is in the set then x + 4 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -8 II) 4 III) 8	Choose the correct choice from the following: A) I only B) II only C) I and II only D) II and III only E) I, II and III

Solution: Since -4 is in the set, then the set must also include 0, 4, 8, 12, etc...   Depending on whether -4 is the starting element in the set or not, we can have -8...or not.   The answer is II and III only.
Answer: D
Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 292 runs?  Choose the correct choice.
A) 6 B) 6.5 C) 7.25 D) 7.5 E) 8

Solution: Required run rate = 262 - (3.2 x 10) =	250 = 6.5   40	40   6.5
Answer: B
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports. How many students play only cricket ?
Pick one.
A) 36
B) 38
C) 39
D) 47
E) 37

Solution: P37RSONS PLAY CRICK37T ONLY=N(C)-N(B∩C)-N(C∩T)-2(N(B∩T∩C))   =75-30-24-(2*16)   =37   ANSW37R:37
Answer: E
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?	Choose the correct choice from the following
A) 2 months  B) 7 months  C) 8 months  D) 10 months  E) 12 months

Solution: Explanation:   7 * 8 : 9 * x = 8:9 => x= 7 months   ANSWER:7 months
Answer: B
If x and y are positive integers and x = 5y + 7, what is the remainder when x is divided by 5?  Choose the correct choice from the following: A) 0 B) 1 C) 2 D) 3 E) 4

Solution: This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution.   We're told that X and Y are POSITIVE INTEGERS and X = 5Y + 7. We're asked for the REMAINDER when X is divided by 5.   IF....   Y = 1   X = 12   12/5 = 2 remainder 2   Final Answer:   2
Answer: C
If 2A = 3B = 4C , then A : B : C is ?
Choose the most appropriate option.
A) 2 : 3 : 4
B) 4 : 3 : 2
C) 6 : 4 : 3
D) 3 : 4 : 6
E) 2 : 4 : 3

Solution: Let 2A = 3B = 46 : 4 : 3 = x   Then A = x/2, B = x/3 and 6 : 4 : 3 = x/4   ∴ A : B : 6 : 4 : 3 = x/2 : x/3 : x/4   Hence A : B : 6 : 4 : 3 = 6 : 4 : 3   Answer : 6 : 4 : 3
Answer: C
In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 6 ?
Select
A) 0	B) -4	C) -3	D) 4	E) 9/2

Solution: 2x - cy = 18   x=6, y=2;   12-2c=18   c=-3   2x-cy=18   when y=6, c=-3, x=   x=0   0NSWER:0
Answer: A
Today is Monday. The day after 59 days will be  Options: A) Monday B) Tuesday C) Saturday D) Sunday E) Thursday

Solution: Explanation :   59 days = 8 weeks 3 days = 3 odd days   Hence if today is Monday, After 59 days, it will be = (Monday + 3 odd days)   = Thursday. Answer : Option Thursday
Answer: E
Population is 25000. Population increases by 10% every year, then the population after 3 years is? Answers
A) 26630 B) 33275 C) 36625 D) 26625 E) 26825

Solution: population after 1st year = 25000*10/100= 
25000*10/100 = 2_500
2500===> 25000+2000 = 27500   population after 2nd year = 27500*10/100= 
27500*10/100 = 2_750
2750===> 27500+2750= 
27500+2750 = 30_250
30250   population after 3rd year= 30250*10/100= 
30250*10/100 = 3_025
3025===> 30250+3025= 
30250+3025 = 33_275
33275   ANSWER:33275
Answer: B
Which of the number is odd one out ? Choose the correct answer.
A) 84129
B) 32418
C) 47632
D) 36119
E) 67626

Solution: 47632   47632   as 32*32 !=476
Answer: C
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 24, find the number?	Answers:  A) 1086  B) 1068  C) 1025  D) 1021  E) 1025

Solution: 1086   1086   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 24 => b = 8   So a = 10 and b = 6   Hence the three digit number is: 1086
Answer: A
A and B enter into a partnership and invest Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C also joins the business with a capital of Rs. 15,000. The share of C in a profit of Rs. 45,600 after two years is
Choices:
A) Rs. 12,000
B) Rs. 14,400
C) Rs. 19,200
D) Rs. 21,200
E) Rs. 31,200

Solution: For 2 years   Rs. 12,000 = (24 * 12000) = 28800   B = (24 * 16000) = 38400   C = (16 * 15000) = 24000   Profit share of C is   = (24000/91200)*45000 = 12000   Rs. 12,000NSWER:Rs. 12,000
Answer: A
In a T.V. factory, an average of 63TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ? Answers
A) 35  B) 33  C) 48  D) 50  E) 52

Solution: Production during these 5 days = Total production in a month - production in first 25 days.   = 30 x 58 - 25 x 63   = 165   âˆ´ Average for last 5 days = 165 / 5= 
165 / 5 = 33
33   33
Answer: B
If A = x% of y and B = y% of x, then which of the following is true? Choose the correct choice from the following answers:
A) A is smaller than B	B) A is greater than B	C) Relationship between A and B cannot be determined.	D) If x is smaller than y, then A is greater than B.	E) None of the above

Solution: IF....   X = 50   Y = 100   A = 50% of 100 = 50   B = 100% of 50 = 50   Answer A: A is smaller than B.This is NOT true.   Answer B: A is greater than B. This is NOT true.   Answer C: Relationship between A and B cannot be determined. While it would take additional TESTs to prove, A always = B, so the relationship IS known. This is NOT true.   Answer D: If x is smaller than y, then A is greater than B. This is NOT true.   Since we've disproved the first four answers, there's only one answer left;   ANSWNone of the aboveR:None of the above
Answer: E
How many numbers from 49 to 79 are exactly divisible by 11?
Choose the correct choice.
A) 5
B) 7
C) 9
D) 3
E) 12

Solution: 49/11 = 4 and 79/11 = 7 ==> 7 - 4= 
7 - 4 = 3
3 Numbers   Answer : 3
Answer: D
X, Y, and Z are different prime numbers. The product X^2*Y^2*Z is divisible by how many different positive numbers?	Choose the most appropriate option.
A) 6	B) 8	C) 12	D) 18	E) 24

Solution: The exponents of X^2*Y^2*Z are 2, 2, and 1.   The number of factors is (2+1)(2+1)(1+1) = 18   The answer is 18.
Answer: D
Find the cost of fencing around a circular field of diameter 26 m at the rate of Rs.1.50 a meter?
Options.
A) 122.55
B) 132
C) 156
D) 158
E) 267

Solution: 2 * 22/7 * 13 = 81.7   81.7 * 1 1/2 = Rs.122.55   122.55nswer: 122.55
Answer: A
Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y
is selected.
The probability of A
is 17 and that of B is 29. Find the probability that both of them are selected.
Pick
A) 2/63	B) 2/67	C) 2	D) 3/31	E) 4

Solution: Given, A be the event that X is selected and B is the event that Y   is selected.   P(A)=17   , P(B)=29   .   Let C   be the event that both are selected.   P(C)=P(2/63)×P(B)   as 2/63 and B   are independent events:   =(17)×(29)   = 2/63   2/63nswer is 2/63
Answer: A
At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?	Choose the correct choice from the following answers
A) 15
B) 20
C) 25
D) 30
E) 35

Solution: Well, first let’s take care of the “totals”. The numbers in the “totals” row must add up. If 90 are females, the other 250 – 90 = 160 must be males. Similarly, the numbers in the “totals” column must add up. If 40 are managers, then the other 250 – 40 = 210 must be associates.   Now, in the “associate” row, 135 + E = 210, which means E = 75 — the other 75 associates must be female.   Now, to find B, which is what the question is asking, we need only look at the sum in the “female” column: B + 75 = 90, which means B = 15. There are fifteen female managers in this company. Thus, the answer = (15).
Answer: A
A train 150 m long running at 72 kmph crosses a platform in 28 sec. What is the length of the platform?
Choose the correct choice:
A) 410 m  B) 354 m  C) 450 m  D) 350 m  E) 250 m

Solution: 410 m   410   410 m = (72 * 5/18)*28-150= 
(72 * 5/18)*28-150 = 410
410
Answer: A
A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^11 and 5^12, respectively, what is the value of A?  Choose the correct choice:	A) -24(5^12)	B) -23(5^12)	C) -23(5^11)	D) 23(5^12)	E) 24(5^12)

Solution: Ans : C   Assume that the numbers appear as shown below on the number line   A-----B-----C-----D-----E-----F-----G-----H   (5^12) (5^13)   As the values for G and H are given , we can calculate the difference between any two terms of the series .   Common Difference ,d = (5^13) - (5^12)   = (5^12) *[ 5-1 ]   = (5^12)*(4)   Also F + d = G as the terms are in equidistant and in increasing order.   So F + (5^12)*(4) = (5^12).   That is , F = (5^12) - (5^12)*(4)   = (5^12)[ 1-4]   = (5^12) (-3)   Similarly , E = F - d   = (5^12)[-3-4]   = (5^12)*(-7)   You can see a -4 getting added to the non-exponent part of the values . That is , according to the pattern , D SHOULD BE (5^12)*(-7-4)= (5^12)*(-11)   Following this pattern , A = (5^11)*(-23)   -23(5^11)
Answer: C
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choose the correct choice from the following options:  A) 12  B) 9  C) 14  D) 11  E) 16

Solution: Let the required number of working hours per day be x.   More pumps, Less working hours per day (Indirect Proportion)   Less days, More working hours per day (Indirect Proportion)   Pumps	4:3 :: 8 : x   Days 1:2   :.4 * 1 * x = 3 x 2 x 8   x =	(3 x 2 x 8)/(4)   x = 12.   12nswer is 12.
Answer: A
Directions(11-15): Study the following arrangement of numbers, letters and symbols carefully and answer the questions given below:
B @ K I 9 D © 5 2 T $ M 4 E J # U R
1 A δ K 5 W 6 % F Q 7 H P 8 Z
How many such symbols are there in the above arrangement, each of which is immediately preceded by a letter but not immediately followed by a letter?  Pick one: A) 6 B) 1 C) 8 D) 9 E) 0

Solution: Explanation:   Letter Symbol Number/Symbol   There is only one such combination: D © 5   Answer: Option 1
Answer: B
In a certain series, each term is m greater than the previous term. If the 12th term is 560 and the 9th term is 500, what is the first term?	Choose the correct answer:	A) 140	B) 240	C) 340	D) 540	E) 640

Solution: a + 11m = 560 (12th term)   a + 8m = 500 (9th term)   You get a = 340 and m =   Answer: 340
Answer: C
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?  Choose the correct option:
A) 2 : 5	B) 2 : 6	C) 2 : 8	D) 2 : 9	E) 2 : 3

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2 : 5   2 : 5nswer: Option 2 : 5
Answer: A
1396 x 1396 Answers:
A) 1948816  B) 1981709  C) 18362619  D) 2031719  E) None of these

Solution: 1396 x 1396 = (1396)2   = (1400 - 2)2   = (1400)2 + (4)2 - (4 x 1400 x 4)   = 1948816.   1948816nswer: Option 1948816
Answer: A