MU-NLPC/Calc-aqua_rat huggingface dataset:
John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice from the following answers.
A) 19	B) 19.7	C) 19.9	D) 20.9	E) 21

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother six years younger to her was born. What is the difference between the ages of her parents? Choose the correct option
A) 2 years B) 4 years C) 6 years D) 7 years E) 8 years

Solution: Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 6)= 
(38 + 6) = 44
44 years.   Required difference= (44 - 36)= 
(44 - 36) = 8
8 years.   Answer: Option 8 years
Answer: E
A group of tourists wants to visit only two or three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.  Choose the correct choice from the following answers:	A) 24	B) 28	C) 32	D) 36	E) 40

Solution: The number of ways to choose two cities is 4C2=6.   The number of itineraries for each pair of 2 cities is 2!.   So the number of itineraries to two cities is  6*2= 
 6*2 = 12
12.   The number of ways to choose three cities is 4C3=4.   The number of itineraries for each group of 3 cities is 3!.   So the number of itineraries to three cities is 4*3!=24.   The total number of itineraries is   12+24= 
  12+24 = 36
36.   The answer is 36.
Answer: D
The difference between a number and its two-fifth is 510. What is 12% of that number?
Choices:
A) 58 B) 110 C) 76 D) 102 E) 86

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   12% of 850= 102.   Answer:102
Answer: D
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 10 pages.
Choose the correct choice from the following:
A) 8
B) 10
C) 12
D) 4
E) 16

Solution: subhas 's 1 hr copy page=50/10= 
50/10 = 5
5 page   (subhas+prakash)'s 1 hr copy page=300/40= 
300/40 = 15/2 = around 7.5
7.5 page   from above prakash's 1 hr copy page= 2.5 page   so time taken in 30 page's copy =(10/2.5)= 
(10/2.5) = 4
4 hrs   ANSWER:4
Answer: D
What is the absolute value of twice the difference of the roots of the equation W=5y^2 − 20y + 15 = 0 ?  Options.
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: W=5y^2 − 20y + 15 = 0 --> y^2 − 4y + 3 = 0 --> y=1 or y=3. The difference is 2, twice the difference is 4.   Answer: 4.
Answer: E
The product Z of two prime numbers is between 15 and 36. If one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 8 but less than 24, then what is Z?
Choose the most appropriate option: A) 35 B) 33 C) 28 D) 21 E) 15

Solution: The smallest possible product is 33 which is 3*11.   All other products are too big.   The answer is 33.
Answer: B
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100% capacity, how long will it take to drain the pool? Choose one:
A) 1400 B) 1600 C) 1800 D) 1500 E) 2000

Solution: volume of pool = 80*150*10 cu.ft ,100% full = 60*100*10*1 cu.ft water is available to drain.   draining capacity =60 cu.ft /min therefore time taken = 80*150*10*1/ 60= 
80*150*10*1/ 60 = 2_000
2000 min   2000
Answer: E
If one-third of one-fourth of a number is 25, then three-tenth of that number is:
A. 35
Answers:
A) 23
B) 90
C) 26
D) 54
E) 01

Solution: Explanation:   The number is 1/3 of 1/4 is =15 then 1/3 Ã— 1/4 = 25   Number is 300 then 300 Ã— 3/10 = 90   Answer: 90
Answer: B
13 sheeps and 9 pigs were bought for Rs. 1291.85.If the average price of a sheep be Rs. 74. What
is the average price of a pig.  Choose the correct choice:
A) Rs. 26.65
B) Rs. 36.55
C) Rs. 35.65
D) Rs. 36.65
E) Rs. 33.65

Solution: Average price of a sheep = Rs. 74   : . Total price of 13 sheeps   = (74*13) = Rs. 962   But, total price of 13 sheeps and 9 pigs   = Rs. 1291.85   Total price of 9 pigs   = Rs. (1291.85-962) = Rs. 329.85   Hence, average price of a pig   = (329.85/9) = Rs. 36.65   Answer is Rs. 36.65.
Answer: D
The probability that a number selected at random from the first 50 natural numbers is a composite number is ? Select the correct option:
A) 17/27	B) 17/25	C) 17/17	D) 17/88	E) 17/22

Solution: The number of exhaustive events = ⁵⁰C₁ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability = 34/50 =17/25.   Answer:17/25
Answer: B
What percent is 36 paisa's of 12 rupees? Choose one.
A) 3 %	B) 4 %	C) 5 %	D) 6 %	E) 7 %

Solution: 12 Rupees = 1200paisa's   36/1200 × 100 = 3/12   12/3 = 3 %   3 %
Answer: A
Without stoppages, a train travels certain distance with an average speed of 400 km/h, and with stoppages, it covers the same distance with an average speed of 360 km/h. How many minutes per hour the train stops ? Choose the correct choice from the following options.
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Due to stoppages, it covers 40 km less .   Time taken to cover 40 km = 40â„400h = 1â„10h   = 1â„10 Ã— 60 min = 6 min   Answer 6
Answer: D
30 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?	Choose the correct choice from the following answers:
A) 625 B) 870 C) 576 D) 676 E) 700

Solution: we can go in any bus out of the 30 buses.   Hence He can go in 30 ways.   Since we can not come back in the same bus that he used for travelling,   we can return in 29 ways.   Total number of ways = 30 x 29 = 870   ANSWER:870
Answer: B
Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 240 envelopes	Answers:
A) 6 minutes  B) 5 minutes  C) 7 minutes  D) 3 minutes  E) 4 minutes

Solution: earl takes 1 min. for 36 envelopes.   ellen takes 3/2 mins for the same. so ellen can stuff ((36)/(3/2)) in 1 min. i.e., 24 envlpes a min.   so both of them when work together can stuff 36+24= 
36+24 = 60
60 envelopes in 1 min.   for 240 envelopes they will take 240/60 mins. i.e., 4 mins.   ANSW4 minutesR:4 minutes
Answer: E
A man buys 25 lts of liquid which contains 20% of the liquid and the rest is water. He then mixes it with 25 lts of another mixture with 30% of liquid. What is the % of water in the new mixture?  Pick:
A) 55
B) 82
C) 73
D) 75
E) 85

Solution: 20% in 25 lts is5. So water = 25-5= 
25-5 = 20
20 lts. 30% of 25 lts=7.5. So water in 2nd mixture = 25-7.5= 
25-7.5 = 17.5
17.5 lts. Now total quantity= 25 + 25= 
25 + 25 = 50
50 lts. Total water in it will be 20 + 17.5= 
20 + 17.5 = 37.5
37.5 lts. % of water= (100*37.5)/50= 
(100*37.5)/50 = 75
75.   ANSWER:75
Answer: D
1300 boys and 700 girls are examined in a test; 52% of the boys and 43% of the girls pass. The percentage of the total who failed is ?  Choose the correct choice.
A) A)63.3% B) B)52.4% C) C)81.2% D) D)51.15% E) E)69.1%

Solution: Total number of students = 1300+700= 
1300+700 = 2_000
2000   Number of students passed= (52% of 1300+43% of 700) = 676+301= 
676+301 = 977
977   number of failures= 1023*100/2000= 
1023*100/2000 = 1_023/20 = around 51.15
51.15%   Answer is 51.15%
Answer: D
he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?	Choose the correct choice from the following
A) 1797787	B) 1797723	C) 179776	D) 179728	E) 179718

Solution: Population after n years = P [1 + (R/100)]2   Population after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776   ANSWER: 179776
Answer: C
How many positive integers less than 50 are multiples of 2 but NOT multiples of 5?
Select:
A) 4 B) 6 C) 8 D) 10 E) 20

Solution: IMO the answer is C (8 numbers)   The LCM of 2 and 5 is 10.   If x <50 and x is divisible by 2 not by 5 --> x is NOT divisible by 10.   From 1--> 50, we have 5 numbers which is divisible by 10: 10, 20, 30, 40, 50.   From 1-->50, we have (50-2)/2 +1= 
(50-2)/2 +1 = 25
25 numbers divisible by 2.   Therefore, our answer is 25-5= 
25-5 = 20
20 numbers.   20
Answer: E
Rewrite (10^38) – 85 as a base 10 integer, what is the sum of the digits in that integer?  Pick:
A) 354 B) 357 C) 330 D) 370 E) 360

Solution: We know that (10^38) is ending 00, so (10^38) – 85=9....9915   total number of digits in (10^38) – 85 is 38, or 36 digits of 9 and two digits 1 and 5.   answer choice is   36*9+6= 
  36*9+6 = 330
330   Answer is 330 330
Answer: C
JC has to visit at least 2 European cities on his vacation trip. If he can visit only London, Paris, Rome, or Madrid, how many different itineraries, defined as the sequence of visited cities, can JC create?	Choose one:	A) 12	B) 36	C) 48	D) 60	E) 72

Solution: The question asks the different itineraries, and we need to count the order. For example, visiting city A first and visiting city B later is different from visiting city B first and visiting city A later.   To visit 2 cities from 4 cities, there are 4Ã—3=124Ã—3=12 different itineraries   To visit 3 cities from 4 cities, there are 4Ã—3Ã—2=244Ã—3Ã—2=24 different itineraries   To visit 4 cities from 4 cities, there are 4Ã—3Ã—2Ã—1=244Ã—3Ã—2Ã—1=24 different itineraries   The total different itineraries are 12+24+24=6012+24+24=60 different itineraries.   Answer: 60
Answer: D
If two of the four expressions a + b , b + 7b, a - b, and 7a - b are chosen at random, what is the probability that their product will be of the form of a^2-(xb)^2, where x is an integer?
Choose the correct answer:	A) 1/2	B) 1/7	C) 1/6	D) 1/8	E) 1/5

Solution: Total number of expressions if 2 are multiplied = 4C2 = 4!/2!*2! = 6   now we have to find the expressions that are in form of x^2 - (by)^2   one is (a+b)(a-b) = a^2 - (1b)^2   If you see any other combination we are always going to have one term of ab since 7a and 7b are there, so there can be only one type of combination like this.   therefore, probablity is 1/6   Answer : 1/6
Answer: C
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 65% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Select.
A) 7/12	B) 1/4	C) 1/2	D) 7/24	E) 17/24

Solution: In probability questions the trap answer is just the multiple of the numbers in the question.   i.e. if you multiply 1/3 * 1/4 * 1/2 = 1/24 is trap answer   The other trap answer could be 2/3 * 3/4 * 1/2 = 6/24 is trap answer   So lets say you have30 secsand you want to guess the answer then B, C are ruled out because they can be traps. You best guess is A, D, E. So you have 33% chances of being correct.   17/24
Answer: E
Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?  Choose the most appropriate option.
A) 1/15  B) 1/14  C) 1/12  D) 1/13  E) 1/17

Solution: Explanation :   Let two digit number that Shiwani thought be 'xy', where x and y are single digit number.   Therefore, 10x+y=p(x+y)+3, where p is a natural number   p=10x+y−3x+y.   Also, y+x>3.   Possible values of x and y for which p is a natural number are :-   (x=1,y=5),(x=2,y=3),(x=3,y=1,3,5,9),   (x=4,y=7),(x=5,y=1,2,9),(x=6,y=Null),   (x=7,y=3,5,8),(x=8,y=Null),(x=9,y=4)   There are 14 such two digit numbers that give a remainder of 3 when divided by the sum of the digits.   Probability that Devesh thought of the same number as Shiwani = 1/14   Answer : 1/14
Answer: B
In a certain pond, 90 fish were caught, tagged, and returned to the pond. A few days later, 90 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?  Select the correct option:
A) 400
B) 625
C) 1250
D) 2500
E) 4091

Solution: The percent of tagged fish in the second catch is 2/90*100 = 2.22%.   We are told that 2.22% approximates the percent of tagged fish in the pond. Since there are 90 tagged fish, then we have 0.022x = 90 --> x = 4,091.   Answer: 4091.
Answer: E
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct answer.
A) 338 B) 277 C) 500 D) 127 E) 181

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer:500
Answer: C
In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin? Choices
A) 5C4 B) 5P4 C) 3^4 D) 4^5 E) 5^5

Solution: Now, each of the 4 different balls has 3 choices (3 tins to go to), so total # of distribution is 3*3*3*3=3^4.   Answer: 3^4.
Answer: C
If the number 653ab is divisible by 90, then (a + b) = ?  Choose the correct choice.
A) 2	B) 3	C) 4	D) 6	E) 8

Solution: 90 = 10 x 9   Clearly, 653ab is divisible by 10, so b = 0   Now, 653a0 is divisible by 9.   So, (6 + 5 + 3 + a + 0) = (14 + a) is divisible by 9. So, a = 4.   Hence, (a + b) = (4 + 0)= 
(4 + 0) = 4
4.   ANSWER:4
Answer: C
For all positive integers x, f(x)=f(x+1). If f(3)=15, then what is f(7)?
Choose the correct choice from the following choices: A) 8 B) 12 C) 15 D) 21 E) 35

Solution: Here we go---   f(x) = f(x+1) ---(1)   f(3) = 15 ----(2)   Now   f(7) = f(6+1)-----> f(6) = f(5+1)-------> f(5) = f(4+1) ------> f(4) = F(3+1)---> f(3) = 15   Now backtrack   f(4) = 15-----> f(5) = 15 ------> f(6) = 15 ----> f(7) = 15   Though I picked option 15   I am still not 100% sure of the answer(don't know why)   My bets on 15.
Answer: C
A shopkeeper sold an article for 720 after giving 10% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Select the correct option.
A) 25%	B) 30%	C) 23%	D) 28%	E) None of these

Solution: Cost price = 720×100/120= 600   S.P. at no discount = 720×100/90 = 800   ∴ % profit = 200×100/600 = 33 1⁄3 %   Answer None of these
Answer: E
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?	Choose the correct choice from the following:  A) 337  B) 280  C) 299  D) 266  E) 299

Solution: x*(85/100) = (480 - x)119/100   x = 280   Answer: 280
Answer: B
In the new budget the price of milk rose by 20%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Options:
A) 7.5%	B) 9.1%	C) 10.9%	D) 16.67%	E) 15%

Solution: Reduce in consumption = R/(100+R) *100% = 20/120 *100 = 16.67%   Answer is 16.67%
Answer: D
A car is running at a speed of 90 kmph. What distance will it cover in 15 second?	Choose the correct answer:
A) 375 m  B) 395 m  C) 373 m  D) 372 m  E) 371 m

Solution: Explanation:   Given : Speed = 108 kmph = (90 x (5/18)) m/sec = 25 m/sec   Distance covered in 15 second = (25 x 15) m = 375 m.   375 mNSWER: 375 m
Answer: A
A motor car starts with the speed of 70km/hr with its speed increasing every two hours by 10kmph. In how many hours will it cover 345 kms  Choose one
A) 4 hrs
B) 5 hrs
C) 6 hrs
D) 4 ½ hrs
E) 5 hrs

Solution: Explanation:   4 ½ hrsistance covered in first 2 hours = 70×2 =140km   4 ½ hrsistance covered in next 2 hours = 80×2 =160km   Remaining distance = 345 -140-160= 
345 -140-160 = 45
45km   Speed of the fifth hour=90km/hr   Time taken to cover 45km = 45/90 = ½ hr   Total time taken = 2+2+ ½ = 4 ½ hrs   Answer: Option 4 ½ hrs
Answer: D
A military commander has to choose 2 soldiers out of a company of 4 for guarding the headquarters. How many different group combinations of 2 does he have to choose from?	Select.
A) 4  B) 10  C) 12  D) 15  E) 35

Solution: A military commander has to choose 2 soldiers out of a company of 5.   different group combinations of 2   He can do this in 5C2 ways     5*4/2*1= 
  5*4/2*1 = 10
10 ways   ANSWER:10
Answer: B
In a group of 140 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?	Answers: A) 0.35 B) 0.55 C) 0.65 D) 0.75 E) 0.85

Solution: Number of people whose age is less than 20 is given by   140 - 90= 
140 - 90 = 50
50   Probability P that a person selected at random from the group is less than 20 is given by   50 / 140= 0.35   correct answer 0.35
Answer: A
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?	Select the correct option:
A) 1/3
B) 2/7
C) 2/5
D) 3/7
E) 3/11

Solution: P (E) = 30 / 100 = 3 / 10 , P (H) = 20 / 100 = 1 / 5 and P (E ∩ H) = 10 / 100 = 1 / 10   P (E or H) = P (E U H)   = P (E) + P (H) - P (E ∩ H)   = (3 / 10) + (1 / 5) - (1 / 10) = 4 / 10 = 2/5   2/5
Answer: C
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.  Choose the correct choice from the following choices.
A) 8/27
B) 1 1/3
C) 2 2/3
D) 3 /3
E) None of these

Solution: Answer   If the required fraction be P   According to the question   (P x P) / (1/P) = 1826/27   ⇒ P3 = 512/27   ∴ P = 8/3 = 2 2/3   2 2/3orrect Option: 2 2/3
Answer: C
If 6 spiders make 3 webs in 7 days, then how many days are needed for 1 spider to make 1 web?	Choose the correct choice from the following answers.
A) 10  B) 12  C) 14  D) 15  E) 16

Solution: Explanation:   Let, 1 spider make 1 web in x days.   More spiders, Less days (Indirect proportion)   More webs, more days (Direct proportion)   Hence we can write as   (spiders)6:1   (webs) 1:7}::x:3   â‡’6Ã—1Ã—7=1Ã—3 Ã— x   â‡’x=14   Answer: Option 14
Answer: C
Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?	Options.
A) 56 B) 231 C) 336 D) 350 E) 406

Solution: There are total of 13 employees, 8 of whom belong to the union and 5 doesn't. Out of 5 people working a shift at least 4 must belong to the union.   Now, at lest 4 out of 5 means that 4 or all 5 employees must belong to the union:   Out of 5 people working a shift 4 employees belong to the union and 1 doesn't: C48∗C15=3500;   Out of 5 people working a shift all 5 employees belong to the union: C58=56   Total # of ways:   350+56= 
  350+56 = 406
406   Answer: 406.
Answer: E
3 Years ago, the average age of a family of 5 members was 20 years. A baby having been born, the average age of the family is the same today. The present age of the baby is  Choose the correct choice: A) 1 year. B) 1.5 Years. C) 2 Years. D) 3 Years. E) 5 Years.

Solution: We're told that 3 YEARS AGO, the average age of a family of 5 members was 20 years.   This means that the SUM of their ages was (5)(20) = 100 years.   A baby was born (meaning that there are now 6 family members). We're told that the PRESENT average age of the family members is the SAME.   This means that the sum of the ages is (6)(20) = 120 years.   We're asked for the PRESENT age of the baby.   Since each of the original 5 family members has aged 3 years since the initial average was calculated, the sum of their PRESENT ages is...   100 + (5)(3) = 115.   120-115= 
120-115 = 5
5   5 Years.
Answer: E
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?  Select
A) 910% increase  B) 10% increase  C) 9% decrease  D) 12% decrease  E) 15% increase

Solution: (30 * 30)/100= 
(30 * 30)/100 = 9
9% decrease   ANSWER 9% decrease
Answer: C
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and Q. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of Q if J is negative?  Pick one.
A) -2
B) Q=0
C) 1
D) 2
E) 5

Solution: since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.   mode of the set is a number which occurs maximum number of time in the set. now, since Q is the mode of the set. therefore Q=0. hence answer is Q=0
Answer: B
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 14 hours a day? Choose the correct choice from the following choices
A) 24 B) 23 C) 24 D) 20.57 E) 22

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*14= 
20*14 = 280
280   Therefore number of days=5760/280=20.57 days   Ans=20.57
Answer: D
The average age of a committee of 10 members is 25 years. A member aged 55 years retired and his place was taken by another member aged 35 years . The average age of
present committee is; Choose the correct choice
A) 23 years B) 38 years C) 36 years D) 35 years E) 37 years

Solution: Total age of the committee = 25*10= 
25*10 = 250
250,   Total age when a member is retired   and a new one was joined= 250-55 +35, =230   Average age of present committee = 230/10= 
230/10 = 23
23.   23 yearsNSWER:23 years
Answer: A
A board 6ft. 9 inches long is divided into 3 equal parts . What is the length of each part?	Pick one:
A) 5ft. 7 inches
B) 3ft. 7 inches
C) 2ft. 3 inches
D) 2ft. 7 inches
E) 1ft. 7 inches

Solution: Length of board=6ft. 9 inches=(6*12+9)= 
(6*12+9) = 81
81 inches.   Therefore, Length of each part= (81/3)= 
(81/3) = 27
27 inches= 2ft. 3 inches   Answer is 2ft. 3 inches.
Answer: C
A company pays 18.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares? Choose the correct answer:
A) 25	B) 66	C) 18	D) 37	E) 01

Solution: Explanation:   Dividend on 1 share = (18.5 * 50)/100 = Rs.9.25   Rs.25 is income on an investment of Rs.100   Rs.9.25 is income on an investment of Rs. (9.25 * 100)/25 = Rs.37   ANSWER: 37
Answer: D
A man saves 30% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 30%, he is only able to save Rs. 300 per month. What is his monthly salary?  Choose the correct choice from the following answers.
A) Rs. 4000	B) Rs. 3750	C) Rs. 5000	D) Rs. 5500	E) Rs. 6500

Solution: Income = Rs. 100   Expenditure = Rs. 70   Savings = Rs. 30   Present Expenditure 70+70*(30/100) = Rs. 91   Present Savings = 100 – 91 =Rs. 8   If savings is Rs. 8, salary = Rs. 100   If savings is Rs.300, salary = 100/8*300= 
100/8*300 = 3_750
3750   Answer : Rs. 3750
Answer: B