MU-NLPC/Calc-aqua_rat huggingface dataset:
A car during its journey travels 30 minutes at a speed of 60 kmph, another 45 minutes at a speed of 80 kmph, and 1 hours at a speed of 70 kmph.The average speed of the car is  Choose the most appropriate option:
A) 63.07 kmph  B) 64 kmph  C) 75 kmph  D) 80 kmph  E) None of these

Solution: First car travels 30 min at speed of 60 kmph   distance = 60 x 1/2 = 30 m   Then car travels 45 min at a speed of 80 kmph   distance = 45 min at speed of 80 kmph   distance = 80 x 3/4 = 60 m   at last it travels 1 hours at speed of 70 kmph   distance = 70 x 1 = 70 m   Total distance = 30 + 80 + 70= 
30 + 80 + 70 = 180
180   Total time= 1/2 + 3/4 + 1= 
1/2 + 3/4 + 1 = 9/4 = around 2.25
2.25   Average speed of the car= 180/2.25= 
180/2.25 = 80
80   ANSWER:80 kmph
Answer: D
Given that there are 5 basketball players per team, how many ways can you select 3 basketball players from 4 teams if no more than one player can be selected from each team?
Choose the correct choice from the following choices:
A) 15
B) 30
C) 60
D) 75
E) 100

Solution: 3 teams can be selected from 3 teams in 4C3 ways = 4 ways   as the condition is that the 3 players should be from different teams   one player can be chosen from 1st team in 5 ways   similarly another player can be chosen from 2nd team in 5 ways   Total number of ways to choose the player = 5 * 5 * 4= 
5 * 5 * 4 = 100
100 ways   Correct Answer - 100
Answer: E
The ratio of 7 seconds to 5 hours
Choose one:
A) 1:80 B) 1:3600 C) 1:600 D) 1:400 E) 1:500

Solution: 1 hour =3600 sec   then 7 hours =7*3600= 
7*3600 = 25_200
25200   so ,7:25200=1:3600   ANSWER:1:3600
Answer: B
The average of 6 quantities is 8. The average of 4 of them is 5. What is the avg. of the remaining 2 numbers?	Choose the correct choice from the following
A) 11 B) 12 C) 13 D) 14 E) 15

Solution: Sum of 8 quantities = Total No of quantities X Average of them   = 6 X 8 = 48   Sum of 4 quantities = 4 X 5 = 20   Sum of 4 Quantities + Sum of 2 Quantities = Sum of 6 Quantities   20 + Sum of 2 Quantities = 48   Sum of 2 Quantities = 28   Average of 2 Quantities = Sum of 2 Quantities / 2   = 28/2= 
28/2 = 14
14   ANSWER:14
Answer: D
A pair of prime numbers that can be expressed in the form R{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Choose one:
A) 11
B) 13
C) 17
D) 19
E) 23

Solution: definetly a sitter.plug in the values for middle term and calculate.We can see clearly that R for 19 , 19+6 gives 25 which is not a prime   therefore correct answer 19
Answer: D
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.24000, my total savings for the two-year is Choose the correct option:  A) s. 8000  B) s. 7000  C) s. 9900  D) s. 9990  E) s. 10000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (24000 + 35000)   = 66000 - 59000 = Rs. 7000   s. 7000
Answer: B
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability W that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?  Pick:
A) 15/64 B) 30/64 C) 1/2 D) 1/4 E) 52/64

Solution: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64   Chosing 4 days out of 6 = 6!/(4!*2!) = 15   chances of rain on exactly 4 days out of 6 days W= 15/64   15/64ns 15/64 it is.
Answer: A
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 54, the dividend is:
Choices
A) 6324	B) 7344	C) 8336	D) 9356	E) 9400

Solution: Divisor = (5 * 54)= 
(5 * 54) = 270
270= 10 * Quotient = Divisor   => Quotient = 270/10= 
270/10 = 27
27   Dividend= (Divisor * Quotient) + Remainder   Dividend = (270 * 27) + 54= 
(270 * 27) + 54 = 7_344
7344.   7344
Answer: B
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 120 sandwiches were made, how many bologna sandwiches
were made?	Choose the correct choice from the following answers
A) 15	B) 30	C) 38	D) 42	E) 48

Solution: For deciding such task we should calculate all parts 5 + 7 + 8= 
5 + 7 + 8 = 20
20 parts   and we should calculate how many sandwiches holds 1 part:   120 / 20= 
120 / 20 = 6
6 sandwiches in one part   For bologna we have 7 parts so:    7 * 6= 
 7 * 6 = 42
42   Answer is 42
Answer: D
Two trains, A and B, started simultaneously from opposite ends of a 200-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 200-mile trip in 10 hours; Train B, traveling at a constant rate, completed the 200-mile trip in 6 hours. How many miles had train A traveled when it met train B? Choose the correct choice from the following answers.
A) 70	B) 75	C) 87.5	D) 90	E) 92.5

Solution: As the ratio of the rates of A and B is 6 to 10 then the distance covered at the time of the meeting (so after traveling the same time interval) would also be in that ratio, which means that A would cover 6/(6+10)=6/16 of 200 miles:   200*6/16= 
  200*6/16 = 75
75 miles.   Answer: 75.
Answer: B
What should come in place of the question-mark (?) in the following number series?
5690, 5121, 4552, 3983, 3414, 2845, ?
Choose the correct choice from the following choices:  A) 278  B) 279  C) 569  D) 127  E) 199

Solution: Sol:   The difference of the numbers in the series is same i.e 569.   5690 – 5121 = 569   5121 – 4552 = 569   4552 – 3983 = 569   3983 – 3414 = 569   3414 – 2845 = 569   So   2845 – 2276 = 569   Answer:569
Answer: C
A thief goes away with a SANTRO car at a speed of 45 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?  Choose the correct choice from the following options:
A) A)2
B) B)4
C) C)7
D) D)5
E) E)8

Solution: Explanation:   |-----------20--------------------|   50 45   D = 20   RS = 50 – 45 = 5   T = 20/5= 
20/5 = 4
4 hours   Answer: Option 4
Answer: B
A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 14 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?  Choose one:
A) $2,240 B) $2,120 C) $1,960 D) $1,920 E) $1,400

Solution: In order to maximize the amount of money that the gambler kept, we should maximize # of $20 chips lost and minimize # of $100 chips lost, which means that # of $20 chips lost must be 2 more than # of $100 chips lost.   So, if # of $20 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chips lost is 14: x+x-2=14 --> x=8: 8 $20 chips were lost and 8-2= 
8-2 = 6
6 $100 chips were lost.   Total worth of chips lost is   8*20+6*100= 
  8*20+6*100 = 760
$760, so the gambler kept $3,000-$760=$2,240.   $2,240nswer: $2,240.
Answer: A
A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?  Options
A) 22 B) 11 C) 27 D) 74 E) 28

Solution: Explanation:   Let the number of one rupee coins in the bag be x.   Number of 50 paise coins in the bag is 93 - x.   Total value of coins   [100x + 50(93 - x)]paise = 5600 paise   => x = 74   Answer: 74
Answer: D
0.35 represents what percent of 0.07?  Choose the most appropriate option.
A) 0.05%  B) 0.5%  C) 5%  D) 500%  E) 5000%

Solution: One more method   0.35 represents what percent of 0.07?   Adjusting the decimal   35 represents what percent of 7?   500%ivide by 7   5 represents what percent of 1?   Answer = 5*100= 
5*100 = 500
500%= 500%
Answer: D
How must a grocer mix 4 types of peanuts worth 54 c, 72 c, $1.2 and $1.44 per pound so as to obtain a mixture at 96 cents per pound?	Choose the correct choice from the following options.
A) 8:4:4:7 B) 24:12:12:50 C) 4:8:7:4 D) 16:42:28:10 E) Cannot be uniquely determined

Solution: As we know Sum of (Respective Quantity x Respective Price) = Total Price = Average price x Total Quantity   Option 1   Ratio of quantity mixed - 8a:4a:4a:7a   Total quantity = 23a parts (8+4+4+7)   (8a.9 + 4a.12 + 4a.20 + 7a.24) = 16.23a   368a = 368a   LHS = RHS   Thus option 1 satisfy the condition   Option 2   Ratio of quantity mixed - 24a:12a:12a:50a or 12a:6a:6a:25a   Total quantity = 49a parts   (12a.9 + 6a.12 + 6a.20 + 25a.24) = 16.49a   900a = 784a   LHS is not equal to RHS   Thus option 2 does not satisfy the condition   Option 3   Ratio of quantity mixed - 4a:8a:7a:4a   Total quantity = 23a parts   (4a.9 + 8a.12 + 7a.20 + 4a.24) = 16.23a   368a = 368a   LHS = RHS   Thus option 3 satisfy the condition   As we are asked a unique case, a problem can't have two solutions. Thus answer is it Cannot be uniquely determined   Answer Cannot be uniquely determined
Answer: E
Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 2 hours; pumps A and C, operating simultaneously, can fill the tank in 1 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.	Select:
A) 1/3  B) 1/2  C) 1/4  D) 5/2  E) 5/6

Solution: A+B =2; A+C =1 ,B+C =2 ; A5/25/2 THEN 2*(A+B+C) = 5   A+B+C = 5/2 HRS   5/2
Answer: D
In a class of 87 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?	Select the correct option.
A) 6  B) 15  C) 24  D) 33  E) 54

Solution: Formula for calculating two overlapping sets:   A + B - both + NOT(A or B) = Total   so in our task we have equation:   41 (french) + 22 (german) - 9 (both) + NOT = 87   54 + NOT = 87   NOT = 87 - 54= 
87 - 54 = 33
33   So answer is 33
Answer: D
The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half-yearly is : Choose the correct choice from the following answers:	A) Rs.2.50	B) Rs.3	C) Rs.3.75	D) Rs.4	E) Rs.5

Solution: S.I = (1000 *10 *4)/100 = Rs.400   C .I =1200 *1+5/100)2 –1200 = 123.   Difference = Rs.(123-120) = Rs.3   ANSWER:Rs.3
Answer: B
You collect balls. Suppose you start out with 105. John gives you another 100 balls. How many balls do you have at the end? Pick one
A) 205 B) 105 C) 100 D) 502 E) 501

Solution: Solution   Start with 105 balls.   John gives you 100 balls:   105 + 100= 
  105 + 100 = 205
205 balls.   So you have 205 balls at the end.   Correct answer: 205
Answer: A
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If three minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait? Choose the most appropriate option.
A) 12 B) 24 C) 36 D) 60 E) 72

Solution: the difference of the speed is 1m per second so in three minute Sacha will be 180 m ahead of Bruno..   Bruno will cover this in  180/5= 
 180/5 = 36
36 secs..   36
Answer: C
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.7 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomasâ€™s current age in years?
Pick:
A) 24 years
B) 44 years
C) 34 years
D) 64 years
E) 84 years

Solution: If current ages of Rahim and Thomas be 5A years and 4A years correspondingly   Then, 5A + 7 = 11   4A + 7 = 9   9(5A + 7)=11(4A + 7)   A = 14   Thomasâ€™s current age = 4A   = 64 years.   64 years
Answer: D
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers Choose the correct choice from the following choices:  A) 1/24  B) 7/30  C) 1/30  D) 13/56  E) 1/73

Solution: Difference of reciprocals means 1 has to be in the numerator;   So option BD can be ignored   For option A, BE, we require to search two consecutive numbers whose product is the denominator   24 = 4 * 6 ......... Ignore   30 = 5 * 6 ........ Answer   73 = 7 * 9 ................ Ignore   Answer = 1/30
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 36 seconds. Find the length of the train?	Choose one
A) 150 meter
B) 600 meter
C) 167 meter
D) 719 meter
E) 169 meter

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 36= 
  (50/3) * 36 = 600
600 meter   Answer: 600 meter
Answer: B
A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 150 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
Pick one:
A) 1.5
B) 2.5
C) 3.5
D) 4.5
E) 5.5

Solution: The distance between the nest and the ditch is 150 meters.   15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.   So the distance is  30 * 150= 
 30 * 150 = 4_500
4500.   4.5= ST   4500/1.5 = T , I think we can take 4500 meters as 4.5 km, then only we get T = 4.5.( 1000 meters = 1 km)   4.5)
Answer: D
Pipe A can fill a tank in 6 hours, pipe B in 8 hours, and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled? Pick one:
A) 2
B) 2.5
C) 3
D) 3.5
E) 4

Solution: The part filled by A + B + C in 1 hour is 1/6 + 1/8 + 1/24 = 1/3   All the three pipes together will fill the tank in 3 hours.   The answer is 3.
Answer: C
To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 9 hours a day?  Choose the correct choice from the following answers.
A) 34	B) 36	C) 32	D) 40	E) 44

Solution: Man-hours required to asphalt 1 km road=30*12*8= 
30*12*8 = 2_880
2880   Man-hours required to asphalt 2 km road=2880*2= 
2880*2 = 5_760
5760   Man-hours available per day=20*9= 
20*9 = 180
180   Therefore number of days=5760/180= 
5760/180 = 32
32 days   Ans=32
Answer: C
A single discount equal to a discount series of 10% and 20% is  Choose the correct choice
A) 25%
B) 28%
C) 30%
D) 35%
E) None of these

Solution: Equivalent discount = 10 + 20 - 10×20/100   = 30 – 2 = 28%   Answer 28%
Answer: B
At the college entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 25 % pass the test.Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about?
Choose one:
A) 30/47	B) 32/47	C) 34/47	D) 36/47	E) 38/47

Solution: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable, 32 pass the test and of the incapable, 15 pass the test.   Total candidates who passed the test = 32+15= 
32+15 = 47
47   the proportion of the really capable students who can pass the test to the total students who can pass= 32/47   ANSWER:32/47
Answer: B
14! is equal to which of the following?	Choose the correct option.
A) 87,178,291,200  B) 88,180,293,207  C) 89,181,294,209  D) 90,000,000,003  E) 91,114,114,114

Solution: after 4!, every factorial last digit ends in 0.   5!=120   6!=720.   so only option A last digit ends with 0.   So option 87,178,291,200 is correct.
Answer: A
The bus fare for the first mile is $1,5 and then fare for each additional mile costs 35 cents. What is the maximum distance that you can travel by bus if you paid $5 ? Select
A) 10	B) 11	C) 12	D) 13	E) 14

Solution: b is the number of miles at a price of $0,35/mile   1,5 + 0,35b = 5   35b = 500 - 150   b=10   The maximum distance to be traveled --> 1 +10 = 11 miles   ANSWER: 11--  1 +10= 
--  1 +10 = 11
11 miles   ANSWER: 11
Answer: B
A man walking at a rate of 10km/hr crosses a bridge in 18 minutes. The length of the bridge is?  Choices
A) 1521  B) 3000  C) 1667  D) 1254  E) 1112

Solution: Speed = 10*5/18 = 50/18 m/sec   Distance covered in 10minutes = 50/18 *18 *60= 
50/18 *18 *60 = 3_000
3000 m   Answer is 3000
Answer: B
A coin is tossed 7 times. What is the probability of getting exactly 6 heads?  Options.
A) 7/32
B) 3/64
C) 5/64
D) 3/128
E) 7/128

Solution: The number of possible outcomes is 2^7 = 128   There are 7 ways to get exactly 6 heads.   P(exactly 6 heads) = 7/128   The answer is 7/128.
Answer: E
In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction E of all babies born who were NOT part of a set of twins or triplets?	Choose one:
A) z - 2x - 3y B) (2x+3y)/z C) (x+y)/z D) 1 - (2x+3y)/z E) 1 - (x+y)/z

Solution: X set of twins implies 2x babies of twin category.   Y set of triplets means 3y babies of triplet category.   Let K be the babies other than twin or triplet category.   Total babies = z = 2x+3y+k.   or K=Z-(2x+3y)   => Fraction of babies other than twin or triplet categories = K/Z = Z-(2x+3y)/Z.   E= 1- (2x+3y)/Z. Hence answer is 1 - (2x+3y)/z.
Answer: D
In a recent head-to-head run-off election, 10,000 absentee ballets were cast. 2/3 of the absentee ballets were thrown out and 2/5 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?	Choose the correct choice from the following choices:
A) 2,000  B) 3,000  C) 6,000  D) 8,000  E) 9,000

Solution: 1/3 * 3/5 (total absentee votes) = 1/5 (total votes)=1/5*10000= 
1/5*10000 = 2_000
2000   2,000nswer is 2,000
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct choice from the following answers
A) 388  B) 2769  C) 177  D) 150  E) 821

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.Answer: 150
Answer: D
If a and n are integers, and a^2 = 24n, then n must be divisible by which of the following?  Select the correct option:
A) 2
B) 4
C) 12
D) 18
E) 24

Solution: a^2=24n   a^2=2^2∗6n   Least value of n to make "a" a perfect square is 6   2nswer = 2 = 2
Answer: A
If 5 persons can do 5 times of a particular work in 5 days, then, 7 persons can do 7 times of that work in
? Choose the correct choice from the following answers: A) 3 days B) 7 days C) 5 days D) 11 days E) 15 days

Solution: That is, 1 person can do one time of the work in 5 days.   Therefore, 7 persons can do 7 times work in the same 5 days itself.   Option '5 days'
Answer: C
Ratio of the ages of Mahesh and Nilesh is 5:x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?	Choose the correct choice:
A) 14.5 B) 14.1 C) 14.2 D) 14.8 E) 14.5

Solution: Let the present ages of Mahesh, Nilesh and Ramesh be M, N and R respectively.   M/N = 5/x --- (1)   M = R - 18 --- (2)   R + 9 = 47 --- (3)   M - N = R --- (4)   (3) => R = 47 - 9= 
47 - 9 = 38
38 years   (2)=> M = 38 - 18= 
38 - 18 = 20
20 years   (1)=> 20/N = 5/x => N = 4x   (4) => 4x - 20 = 38   => 4x = 58 => x = 14.5   Answer:14.5
Answer: E
Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, 63, 63, ? ... What number should fill the blank?  Pick:
A) 51
B) 39
C) 75
D) 15
E) None

Solution: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.   Answer: Option 75
Answer: C
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?	Choose the correct choice from the following options:
A) (a) 4
B) (b) 7
C) (c) 11
D) (d) 13
E) (e) 17

Solution: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.(c) 11
Answer: C
In the list 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?	Select
A) 2/9 B) 1/8 C) 2/5 D) 2/3 E) 7/9

Solution: Mode: The mode of any set is the term which has the highest frequency (Occurrence)   Highest frequent term in the set is 5 (with frequency 4) hence   Mode = 5   ONE term (4) out of a total of 8 terms are less than mode of the set.   Fraction of set that are less than Mode of set = 1/8   Answer: Option 1/8
Answer: B
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?  Choose the correct option
A) 3 1/89%	B) 3 7/3%	C) 3 1/3%	D) 2 1/3%	E) 3 5/3%

Solution: 1/4 3 1/3%P = 210 SP = 21*(80/100) = 168   SP = 840*(120/100)= 
840*(120/100) = 1_008
1008   1008 - 168= 
1008 - 168 = 840
840   3/4 SP= 630   Gain = 210   630 --- 210   100 --- ? => 33 1/3%   Answer:3 1/3%
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choose the correct choice from the following choices:
A) 6/63
B) 2/63
C) 125/126
D) 1/126
E) 1/63

Solution: Required probability = 1 - 1/126 = 125/126   ANSWER:125/126
Answer: C
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 14 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Choose the correct option:
A) 6 B) 16 C) 20 D) 30 E) 174

Solution: The number of integers that belong to set X ONLY is 14-6= 
14-6 = 8
8;   The number of integers that belong to set Y ONLY is   18-6= 
  18-6 = 12
12;   The number of integers that belong to set X or set Y, but not both is   8+12= 
  8+12 = 20
20.   Answer: 20.
Answer: C
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 5:30 am. They shall first cross each other at ?
Choices.
A) 7:15 am	B) 7:30 am	C) 5: 42 am	D) 7:50 am	E) 7:60 am

Solution: Explanation:   Relative speed between two = 6-1= 
6-1 = 5
5 round per hour   They will cross when one round will complete with relative speed,   which is 1/5 hour= 12 mins.   So 5:30 + 12 mins = 5:42   Option 5: 42 am
Answer: C
If an amount of Rs 24,705 is divided equally among
61 students, approximately how much amount will
each student get?  Choose the correct choice from the following choices:	A) Rs 405	B) Rs 415	C) Rs 450	D) Rs 218	E) None

Solution: Rs 405mount received by each student = 24705/61 â‰ˆ Rs   405   Rs 405nswer Rs 405
Answer: A
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?	Select the correct option.
A) 5.2 hrs B) 2.9 hrs C) 1.9 hrs D) 4.8 hrs E) 1.4 hrs

Solution: Net part filled in 1 hour = (1/3 - 1/8) = 5/24   The cistern will be filled in 24/5 hrs i.e., 4.8 hrs.   Answer:4.8 hrs
Answer: D
In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?	Select:
A) 33 years
B) 34 years
C) 35 years
D) 36 years
E) 37 years

Solution: Explanation :   Let the age of youngest player be x.   Then, age of the captain = (x + 11).   => 3*25 + 3*28 + 3*30 + x + x + 11= 
+ 11 = 11
11*28.=> 75+84+90+2x+11=308   so 2x = 48   so x = 24.   Age of the captain = (x+11)   = 35 years.   Answer : 35 years
Answer: C