MU-NLPC/Calc-aqua_rat huggingface dataset:
A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is:	Choose the correct choice from the following options:
A) 29	1/5
B) 37	1/4
C) 42
D) 54
E) 36

Solution: we have food for 150 men for 45 days.   After 15 days food left for 150 men for 30 days.   so   150 : 30   now we have 125 men and x days   125 : 150 :: 30 : x   x = (150*30)/125= 
(150*30)/125 = 36
36 days.   ANSW36R:36
Answer: E
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?	Choose the correct choice from the following options:  A) 1.9  B) 1.5  C) 1.7  D) 1.4  E) 1.1

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer:1.5
Answer: B
A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics? Select:
A) 54
B) 76
C) 87
D) 80
E) 82

Solution: Given M + P + C = 80 * 3= 
80 * 3 = 240
240 --- (1)   M + P= 90 * 2= 
90 * 2 = 180
180 --- (2)   P + C= 70 * 2= 
70 * 2 = 140
140 --- (3)   Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.   P= (2) + (3) - (1) = 180 + 140 - 240= 
180 + 140 - 240 = 80
80   Answer: 80
Answer: D
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.023 per millisecond of computer time, and $5.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?  Pick:  A) $7.15  B) $8.87  C) $28.96  D) $35.57  E) $40.92

Solution: Operating system overhead for 1 run = 1.07 $   Mounting of data tape = 5.35$   Cost per 1 millisecond of computer time = .023 $   Total cost of 1 run of a program that requires 1.5 seconds of computer time   = 1.07 + (.023*1500) + 5.35   =1.07 + 34.5 + 5.35= 
1.07 + 34.5 + 5.35 = 40.92
40.92$   Answer $40.92
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?	Options: A) 28 sec B) 19 sec C) 48 sec D) 18 sec E) 38 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer: 48 sec
Answer: C
36 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
A) 5	B) 6	C) 7	D) 8	E) 10

Solution: Total people = number of men + number of women   36 = 4 + number of married men + 22   number of married men = 36 - 22-4= 
36 - 22-4 = 10
10 men   ANSW10R:10
Answer: E
In a stack of cards, 8 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 1/2. What is the number of cards in the stack?  Choose the correct choice from the following options:
A) 10 B) 11 C) 12 D) 15 E) 18

Solution: This question can be solved by TESTing THE ANSWERS.   We're told that we have 9 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 1/2. We're asked for the TOTAL number of cards.   Normally, when TESTing THE ANSWERS, we should start with either B or D. Answer B looks easier, so let's start there.   Answer B: 11 total cards   With 11 total cards, and 8 blue cards, the probability of pulling two blue cards is...   (8/11)(7/10) = 56/110~0.509   Since 1/2= 
1/2 = 1/2 = around 0.5
0.5, this is clearly the answer.   11
Answer: B
Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?  Pick one:	A) 3	B) 5	C) 7	D) 9	E) 11

Solution: P makes x sprockets per hour.   Then Q makes 1.1x sprockets per hour.   770/x = 770/1.1x + 10   1.1(770) = 770 + 11x   11x = 77   x = 7   The answer is 7.
Answer: C
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class? Choose the correct choice from the following options.
A) 65%
B) 67%
C) 69%
D) 72%
E) 75%

Solution: 70% of the class scored 60% and 30% of the class scored 90%.   The difference between 60% and 90% is 30%.   The average will be 60% + 0.3(30%) = 69%.   The answer is 69%.
Answer: C
A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Select the correct option:
A) 10 B) 12 C) 15 D) 18 E) 20

Solution: Explanation:   Let the quantity of alcohol and water be 4x litres and 3x litres respectively   4x/(3x+5) = 4/5   20x = 4(3x+5)   8x = 20   x = 2.5   Quantity of alcohol = (4 x 2.5) litres = 10 litres.   10nswer: 10
Answer: A
A man spends 10% of his income on food and 80% of the remaining income on clothing. If he still has a balance of Rs. 180. what is his total income?
Answers: A) 1100 B) 1000 C) 804 D) 934 E) 230

Solution: Total Income = 180 x 100100âˆ’10Ã—100100âˆ’80   = 180 x 10090Ã—10020 = Rs. 1000   correct answer - 1000
Answer: B
An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?	Choose the most appropriate option:
A) 12
B) 19
C) 60
D) 180
E) 720

Solution: 5C1 * 4C1 * 3C1 = 5*4*3= 
5*4*3 = 60
60.   Answer: 60
Answer: C
If x is an even integer, which of the following is an odd integer?  Choose the correct choice from the following answers.
A) 3x + 2  B) 7x  C) 8x +5  D) x^2  E) x^3

Solution: Soln:-   A) 3x + 2   3*Even +2   = Even +Even = Even   (B) 7x   7*Even= Even   (8x +5) 8x +5   8*Even +5   = Even +5   = Odd   (D) x^2   = Even * Even = Even   (E) x^3   = Even *Even * Even   = Even   Answer 8x +5
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed:	Choose the correct choice from the following options:
A) 27 birds  B) 72 birds  C) 30 birds  D) 80 birds  E) 20 birds

Solution: Let the total number of shots be x. Then,   Shots fired by A =(5/8)x   Shots fired by B =(3/8)x   Killing shots by A =(1/3)of	(5/8)x=(5/24)x   Shots missed by B =(1/2) of (3/8)x	=(3/16)x   3x/16= 27 or x =(24 x 16)/3= 128.   Birds killed by A =(5x/24)	=(5/24*128)= 27.   27 birdsnswer is 27 birds
Answer: A
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:	Choose the correct choice from the following:
A) 10	B) 15	C) 18	D) 36	E) 72

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   2x =(120+120)/12   2x = 20   x = 10.   Speed of each train = 10 m/sec = 10x18/5=36 km/hr   answer :36
Answer: D
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--  Choose the correct option
A) 12	B) 19	C) 72	D) 180	E) 720

Solution: 4C3 * 4C2 * 3C2 = 4*6*3= 
4*6*3 = 72
72.   Answer: 72
Answer: C
A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is Choose the correct choice from the following answers.
A) 4 hours 95 minutes  B) 4 hours 49 minutes  C) 4 hours 45 minutes  D) 4 hours 75 minutes  E) 7 hours 45 minutes

Solution: Explanation:   Time taken in walking both ways = 7 hours 45 minutes --------(i)   Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)   By equation (ii)*2 -(i), we have   Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes   = 4 hours 45 minutes   Answer: 4 hours 45 minutes) 4 hours 45 minutes
Answer: C
In the formula V = 1/(5r)^2, if r is halved, then V is multiplied by  Choose the correct answer.
A) 64
B) 8
C) 1
D) 1/8
E) 4

Solution: Say r=2 => V1 = 1/100   when r=1; V2 = 1/25   V2 = 4*V1.   Answer=44* 1.= 
4* 1. = 4
4=4
Answer: E
The mean of set Y does not exceed mean of any subset of set Y. Which of the following must be true about set Y?
I. Set Y contains only one element
II. All elements in set Y are equal
III. The median of set Y equals the mean of set Y  Choose the correct choice from the following answers
A) of the three qualities is necessary B) II only C) III only D) II and III only E) I, II, and III

Solution: The only necessary condition seems to be II.   If all nos are equal.... them mean of any subset is the same.   I is obviously ruled out ( e.g. Y = {1,1,1} )   But III, what about 3?   It is not necessary in itself, rather, is automatically implied by II.   All sets that satsify II satisfy III=II and III only
Answer: D
2, 1, (1/2), (1/4), ? Choices:
A) 1/3 B) 1/9 C) 1/5 D) 1/8 E) 1/4

Solution: 1/8   1/8   This is a simple division series; each number is one-half of the previous number.
Answer: D
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?	Pick:
A) 22	B) 29	C) 20	D) 11	E) 13

Solution: 1/x + 1/(x + 10) = 1/12   x = 20   «1234.Answer:20
Answer: C
The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be :-  Choose the correct answer:	A) 101 : 88	B) 87 : 100	C) 110 : 111	D) 85 : 98	E) 97 : 84

Solution: Explanation :   Going through the given options,   option 1 :- 101 : 88 = > 189 . [ Divisible by 3 ]   option 2 :- 87 : 100 => 187 . [ Divisible by 11 ]   option 3 :- 85 : 98 => 183 . [ Divisible by 3 ]   option 4 :- 97: 84 = > 181 . [ Prime number ]   Hence, only 181 is the prime number i.e the total number of employee in the company and the required ratio is 97 : 84.   Answer : 97 : 84
Answer: E
Each child has 2 pencils and 13 Skittles. If there are 6 children, how many pencils are there in total?  Choose the correct choice
A) 16
B) 12
C) 18
D) 22
E) 08

Solution: 2*6= 
2*6 = 12
12.Answer is 12.
Answer: B
Marts income is 60 percent more than Tims income and Tims income is 60 percent less than Juans income. What percentage of Juans income is Marts income	Choose the correct answer:
A) 124%  B) b) 64 %  C) c) 96 %  D) d) 80 %  E) e) 64 %

Solution: M = (160/100)T   T = (40/100)J   => M = (64/100)J   Answer b) 64 %.
Answer: B
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
Pick one.
A) 1  B) 2  C) 4  D) 7  E) 9

Solution: 2/9= 0.22222.... ==> 99th digit is 2   3/11 = 0.27272727.... ==> Every odd digit is 2. So, 99th digit will be 2.   2 +2= 
2 +2 = 4
4   ANSWER:4
Answer: C
If A is an even integer and q is an odd integer, which of the following must be an odd integer?
Choose the correct option:
A) A/q B) Aq C) 2A+q D) 2(A+q) E) 3A/q

Solution: this is a must question:   A. A/q   can be a non-integer   B. Aq   always even   C. 2A+q   2A = even -> even+odd = odd   D. 2(A+q)   always even - A+q = odd *2 -> even   E. 3A/q   might be a non integer.   2A+q
Answer: C
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?	Choose the correct choice from the following answers
A) 16  B) 18  C) 20  D) 24  E) 29

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways   4: Or 4p = — 4:- 4X3X2X1- 24 ways   24
Answer: D
The time it took car P to travel 900 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?	Choose the correct choice from the following answers.
A) 40 B) 54 C) 62 D) 70 E) 80

Solution: Let speed of car R be=x   Then speed of car P= x+10   A/Q,   (900/x)-(900/(x+10))=2   Solving for x=62 miles\hr.   62
Answer: C
If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Choose the correct choice from the following choices
A) 10 B) 24 C) 30 D) 36 E) 48

Solution: Speed = 216 Km/hr => 216,000 m/hr   In one minute => 216000/60= 
216000/60 = 3_600
3600 meters   In one sec=> 3600/60= 
3600/60 = 60
60 meters   Time= Total distance need to be covered / Avg. speed   => 600/ 60= 
600/ 60 = 10
10 and hence the 10nswer : 10
Answer: A
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
Options
A) 22030  B) 220030  C) 23030  D) 24030  E) 25030

Solution: Explanation:   (555 + 445) * 2 * 110 + 30 = 220000 + 30= 
220000 + 30 = 220_030
220030   Answer: Option 220030
Answer: B
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-two students are registered for Math, and thirty-five students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?	Choose the correct choice from the following choices.
A) 13 B) 10 C) 9 D) 8 E) 7

Solution: A U B U C = A + B + C - AB-BC-AC + ABC   68 = 25 + 22+ 35 -AB-BC-AC +3 => AB+BC+AC = 17   Exactly Two classes = AB+BC+AC - 3ABC = 17 -3*3= 
17 -3*3 = 8
8   Hence 8
Answer: D
Sum of the squares of three numbers is 579 and the sum of their products taken two at a time is 131. Find the sum? Choices
A) 20  B) 22  C) 25  D) 29  E) 28

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 579 + 2* 131   a + b + c = √841 = 29   29
Answer: D
If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area?  Choose the correct choice from the following:
A) 480 cm2	B) 765 cm2	C) 216 cm2	D) 197 cm2	E) 275 cm2

Solution: The triangle with sides 52 cm, 48 cm and 20 cm is right angled, where the hypotenuse is 52 cm.   480 cm2rea of the triangle   = 1/2 * 48 * 20= 
1/2 * 48 * 20 = 480
480 cm2   480 cm2nswer: 480 cm2
Answer: A
If a and b are integer numbers which is greater then one, which of the following CANNOT be the value of ab?  Choices:
A) 9
B) 14
C) 21
D) 23
E) 25

Solution: 23 is a prime number itself and so cannot be multiple of two prime numbers which is greater then one..   ans 23
Answer: D
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Choices:
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
E) 6 hours

Solution: Speed downstream = (13 + 4) km/hr = 17 km/hr.   Time taken to travel 68 km downstream =68/17= 
68/17 = 4
4 hrs   Answer: Option 4 hours
Answer: C
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:  Choose one:  A) No profit, no loss  B) 5%  C) 8%  D) 40%  E) None of these

Solution: Explanation :   C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.   S.P. of 56 kg rice = (56 * 40) Rs. = 2240 Rs.   Profit % = (2240−1600/1600∗100)% = 40%   Answer : 40%
Answer: D
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies?	Choose the correct choice from the following options:
A) 36  B) 64  C) 54  D) 55  E) 60

Solution: T = R   T - 24 ;R + 24   R + 24 = 4 ( T - 24 )   R + 24 =4T - 96   R - 4T = - 120   We knowR = T, so   R - 4T = - 120   Or, R - 4R = -120   Or, - 3R = - 120   Or, R = 40( This is the initital no of Candies Rebecca had)   Candles now she possesses is   40 + 24= 
  40 + 24 = 64
64   So , Rebecca now has 64 candies.   Answer will be (64) 64
Answer: B
An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 16 coaches are attached.	Choose the correct choice from the following:
A) 66  B) 72  C) 80  D) 68  E) 73

Solution: 1.   No. of coaches =4   sqr root=2   speed decreases by 12   12=k*2   k=6   No. of coaches=16   swr root=4   decrease=4*6= 
4*6 = 24
24   New speed=90-24= 
90-24 = 66
66   66
Answer: A
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *8 + 3 and *8 + 8, inclusive? Choose the correct choice from the following.
A) None
B) One
C) Two
D) Three
E) Four

Solution: Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *8 would be divisible by all numbers from 1 to 8.   => *8+3 would give me a number which is a multiple of 3 and therefore divisible (since *8 is divisible by 3)   In fact adding anyprimenumber between 1 to 8 to *8 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *8 + 3 and *8 + 11 then the answer would be 1. For *8+3 and *8 + 13, it is 2 and so on...   None
Answer: A
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss? Choose the correct choice from the following choices:
A) Rs. 19	B) Rs. 15	C) Rs. 11	D) Rs. 13	E) Rs. 01

Solution: Explanation:   CP of 20 dozen of bananas = 15 * 20 = Rs. 300   Number of bananas which are rotten = 1/4 * 20= 
1/4 * 20 = 5
5 dozen.   SP of two-third of remaining bananas= (2/3 * 15) * 22.5 = Rs. 225   SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.   SP of 1 dozen bananas = 75/5 = Rs. 15.   Answer:Rs. 15
Answer: B
3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?  Choose the correct choice from the following choices.
A) 20 days	B) 30 days	C) 40 days	D) 50 days	E) 60 days

Solution: Work done by 4 boys and 6 girls in 1 day = 1/8   Work done by 3 boys and 7 girls in 1 day = 1/10   Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as   4m + 6w = 1/8 ---(1)   3m + 7w = 1/10 ---(2)   Solving equation (1) and (2) , we get m=11/400 and w=1/400   Amount of work 10 girls can do in a day = 10 × (1/400) = 1/40   Ie, 10 girls can complete the work in 40 days   40 days
Answer: C
if C is a whole number , C+1 is whole number after that. if A is whole number, what is whole number before that
Choose the correct choice from the following.
A) 1 whole number  B) -1, not a whole number  C) 0 whole number  D) -A whole number  E) none

Solution: natural numbers are 0,1,2,3,4,5,...... are called whole numbers. if A is a whole number and it is greater than 0 the the whole number before that is A-1 which will always be a whole number. which means 0-1= -1, which is not whole number. correct answer (-1, not a whole number)
Answer: B
How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Choices.
A) 72
B) 48
C) 120
D) 96
E) 76

Solution: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.   ABC three digit numbers greater than 300 - total of  4*5*4= 
 4*5*4 = 80
80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.   Between 300 and 330 there are   1*2*4= 
  1*2*4 = 8
8 numbers with the given property: A= 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.   Total possible choice  80 - 8= 
 80 - 8 = 72
72=Z   72nswer: 72.
Answer: A
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choose the correct answer
A) 10 days B) 20 days C) 5 days D) 4 days E) 3 days

Solution: Explanation:   C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days   Answer: Option 20 days
Answer: B
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age seven years back was?  Answers:
A) 10 years B) 12 years C) 14 years D) 16 years E) 18 years

Solution: Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 5 years back (19 - 7)= 
(19 - 7) = 12
12 years.   12 years
Answer: B
A batsman makes a score of 200 runs in the 17th inning and thus increases his averages by 10 What is his average after 17th inning?
Answers:
A) 39	B) 35	C) 42	D) 40	E) 41.5

Solution: let the average after 16th inning =x   then total run after 16th inning=16x   then total run after 17th inning=16x+200   then average run after 17th inning=(16x+200)/17   (16x+200)/17=x+10 = > 16x+200 = 17x+170   x=30;   average after 17th inning =30+10= 
30+10 = 40
40   ANSWER:40
Answer: D
Of 30 applicants for a job, 9 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?	Select:  A) 14  B) 10  C) 9  D) 7  E) 5

Solution: B. 10   30 - 3= 
30 - 3 = 27
27   27 - 9 - 18= -10   Then 5 are in the intersection between 4 years experience and degree.   Answer 10
Answer: B
The average of 45 results is 13. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?  Pick:
A) 600
B) 480
C) 750
D) 650
E) 695

Solution: 23th result = sum of 45results - sum of 44 results   13*45-15*22+20*22 = 585-330+440= 
585-330+440 = 695
695   Answer is 695
Answer: E
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choose the correct choice from the following answers:
A) 3600
B) 2992
C) 2209
D) 2889
E) 7881

Solution: X * (90/100) * (80/100) * (75/100) = 1944   X * 0.9 * 0.8 * 0.75   X = 1944/0.54= 
1944/0.54 = 3_600
3600   3600nswer:3600
Answer: A
The simple form of the ratio 2/3:2/5 is?	Pick one
A) 5:0 B) 5:3 C) 5:1 D) 5:2 E) 5:7

Solution: 2/3 : 2/5 = 10:6   = 5:3   Answer: 5:2
Answer: D