MU-NLPC/Calc-aqua_rat huggingface dataset:
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 13 is:  Choices:
A) 448
B) 553
C) 542
D) 548
E) 560

Solution: Required number = (L.C.M. of 12, 15, 20, 54) + 13   = 540 + 13= 
540 + 13 = 553
553.   answer :553
Answer: B
There are 6 persons in an office. A group consisting of 3 persons has to be formed. In how many ways can the group be formed?	Choose the most appropriate option.
A) 15 B) 20 C) 14 D) 12 E) 16

Solution: Number of ways in which the group can be formed = 6C3   = 4*5*6/3*2*1   = 20   Ans- 20
Answer: B
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 3. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?  Choices
A) 3, 8, 24 B) 7, 9, 17 C) 6, 9, 12 D) 5, 15, 18 E) 9, 10, 13

Solution: Since in the question stem it states as Only one of them Divisible by 3   We can straight a way eliminate B, because all are ODD.   A,C & D --> more than a number is divisible by 3. Hence eliminate.   E. Single digit number 9 and divisible by 3 we can take this. Hence E Correct.   ANSW9, 10, 13R:9, 10, 13
Answer: E
The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Pick.
A) 125	B) 126	C) 127	D) 128	E) 129

Solution: 1 to 11 = 11 * 44= 
11 * 44 = 484
484   1 to 5= 5 * 49= 
5 * 49 = 245
245   5 to 11= 7 * 52= 
7 * 52 = 364
364   5th= 245 + 364 – 484 = 125   125NSWER:125
Answer: A
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? Choose the correct choice from the following answers
A) 2278
B) 3779
C) 5040
D) 2778
E) 2813

Solution: Explanation:   The Word LOGARITHMS is contain 10 letters.   To find how many 4 letter word we can find from that = 10 × 9 × 8 × 7 = 5040.   Answer: 5040
Answer: C
What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
I.The number is multiple of 51.
II.The sum of the digits a and b is 6. Choices:
A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer	C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer	E) Both I and II are necessary to answer

Solution: Explanation:   From statement I:   A two digit number, greater than 9 and multiple of 51 should be 51 itself.   Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.   From statement II:   A two digit number, greater than 9 and sum of the digit is 6.   It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.   Thus, I alone give the answer while II alone not sufficient to answer.   Option I alone sufficient while II alone not sufficient to answer
Answer: A
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school? Choose one
A) 150
B) 100
C) 280
D) 360
E) 496

Solution: Explanation:   Let the number of students be x. Then,   Number of students above 8 years of age = (100 - 20)= 
(100 - 20) = 80
80% of x.   80% of x= 48 +2/3 of 48   80/100x=80   x=100   Answer: 100
Answer: B
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$410 per month. The salary of the new supervisor is:  Choose the correct choice from the following choices:
A) 233
B) 690
C) 287
D) 771
E) 191

Solution: Explanation:   Total salary of 8 workers and supervisor together = 9 Ã— 430 = 3870   Now total salary of 8 workers = 3870 âˆ’ 870 = 3000   Total salary of 9 workers including the new supervisor = 9 Ã— 410 = 3690   Salary of the new supervisor = 3690 âˆ’ 3000 = 690   Answer: 690
Answer: B
The speed of the boat in still water in 12 kmph. It can travel downstream through 54 kms in 3 hrs. In what time would it cover the same distance upstream?	Options:
A) 8 hours
B) 6 hours
C) 4 hours
D) 5 hours
E) 9 hours

Solution: Still Water=12km/hr   Downstream=54/3= 
54/3 = 18
18km/hr   Upstream=>> still water=(u+v/2) =>> 12=u+18/2 = 6km/hr   So time taken in upstream = 545/6 =9hrs   ANSW9 hoursR:9 hours
Answer: E
Best friends Sprite and Icey have are playing a game of marbles. They invite 7 of their friends to play with them. There are 36 marbles in the bag. If all 9 people are playing, how many marbles does each person get?	Pick.
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Answer= 4   36 / 9= 
36 / 9 = 4
4 (36 divided by 9= 4)   Answer= 4
Answer: B
There are 10 chickens in a poultry firm and a pair of chicken is to be selected for a meal. At most, how many different pairs are possible?  Choose one: A) 100 B) 90 C) 50 D) 45 E) 25

Solution: N=10C2=10!/(8!2!)=10*9/2= 
10*9/2 = 45
45   Correct Option: 45
Answer: D
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 200. The dividend from the stock is :
Choose the correct choice from the following answers:
A) 7.5 %	B) 8 %	C) 12.5 %	D) None of these	E) Cannot be determined

Solution: Solution   By investing Rs. 1552,income = Rs. 200.   By investing Rs. 97, income = Rs. (200/1552x97)= Rs.12.5   âˆ´ Dividend =12.5%.   Answer 12.5 %
Answer: C
Rick deposited $700 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit? Choose the correct answer
A) 40. B) 25. C) 50. D) 55. E) 65.

Solution: 5x+15y=700 --1   x+y=60 ---2   multiply eq 2 with 5 and subtract from eq 1   5x+15y=700   5x+5y=300   10y= 400   y=40 and x = 20   therefore $15 bills = 40   40.nswer 40.
Answer: A
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
Choose the correct choice from the following:
A) 2080	B) 2778	C) 2299	D) 2778	E) 2771

Solution: Let C.P. be Rs. x.   Then, (1920 - x)/x * 100 = (x - 1280)/x * 100   1920 - x = x - 1280   2x = 3200 => x = 1600   Required S.P. = 130 % of Rs. 1600 = 130/100 * 1600 = Rs. 2080.   2080nswer:2080
Answer: A
A computer manufacturer produces a certain electronic component at a cost of $100 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $10,000 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 1000 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Pick one
A) 122
B) 112
C) 134
D) 108
E) 101

Solution: $10000 is a fixed cost   Each component is $102 ($100 to produce, $2 to ship)   Manufacturer will be producing and selling 1000 components   so therefore the equation to find price would be   1000*p = 10000+(1000*100)+(1000*2)   p = (10000+100000+2000)/1000= 
(10000+100000+2000)/1000 = 112
112   Answer: 112
Answer: B
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is: Choices
A) 400
B) 450
C) 500
D) 520
E) 550

Solution: Speed of train: 78km/hr=78*(5/18)=21.67m/sec   Distance=800m   Time=60sec   d=s*t   800+x=21.67*60= 
21.67*60 = 1_300.2
1300.2-800=500   ANSWER :500
Answer: C
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?  Choose one:
A) 1.25%	B) 3.75%	C) 6.25%	D) 6.67%	E) 7.14%

Solution: The remaining solution will be approximately what percent sodium chloride?means:what percent of the remaining solution is sodium chloride. Now, since the remaining solution is 10,000-3,000=7,000 gallons and sodium chloride is 500 gallons (5% of initial solution of 10,000 gallons) then sodium chloride is 500/7,000*100=~7.14% of the remaining solution of 7,000 gallons.   Answer: 7.14%.
Answer: E
A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 100 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 60 surveys involving the use of her cellphone, how much did she get that week? Select:
A) 180  B) 1180  C) 280  D) 580  E) 2080

Solution: Amount earned using her cell phone = 60 * 13= 
60 * 13 = 780
780   earned for remaining surveys= 40 * 10= 
40 * 10 = 400
400   Total earning= 1180   Answer : 1180
Answer: B
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?  Choices.
A) Rs.9800 B) Rs.3800 C) Rs.9800 D) Rs.6800 E) Rs.6880

Solution: Cost of the camel = P   10 camels = 24 horses   16 horses = 4 oxen   6 oxen = 4 elephants   10 elephants = Rs.170000   P = Rs.[(24 * 4 * 4 * 170000)/(10 * 16 * 6 * 10)]   P = Rs.(65280000/9600) => P = Rs.6800   Answer:Rs.6800
Answer: D
If 4 boys can color 60 m long cloth in 3 days, then 6 boys can color 36 m long cloth in Choose one:
A) day
B) days
C) days
D) days
E) days

Solution: The length of cloth painted by one boy in one day = 60 / 4 × 3 =5 m   No. of days required to paint 36 m cloth by 6 boys = 36/ 5 × 6 = 6/5 day.   day)
Answer: A
If k^3 is divisible by 180, what is the least possible value of integer k?  Pick one.
A) 12 B) 30 C) 60 D) 90 E) 120

Solution: 180 = 2^2*3^2*5   Therefore k must include at least  2 * 3 * 5= 
 2 * 3 * 5 = 30
30.   The answer is 30.
Answer: B
An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes?
Choose one:
A) 10.26%
B) 10.25%
C) 10.85%
D) 17.25%
E) 10.35%

Solution: Let the sum be Rs. 100. Then,   S.I. for first 6 months = (100 * 10 *1) / (100 * 2) = Rs. 5   S.I. for last 6 months = (105 * 10 * 1) / (100 * 2) = Rs. 5.25   So, amount at the end of 1 year = (100 + 5 + 5.25) = Rs. 110.25   Effective rate = (110.25 - 100)= 
(110.25 - 100) = 10.25
10.25%.   Answer:10.25%
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the most appropriate option:
A) 123
B) 166
C) 240
D) 157
E) 198

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m.   Answer: 240
Answer: C
The average weight of A, B and C is 45 kg. If the average weight of A and B be 41 kg and that of B and C be 43 kg, then the weight of B is: Choose the correct choice.
A) 33 kg  B) 31 kg  C) 32 kg  D) 36 kg  E) 37 kg

Solution: A   33 kg   Let A, B, C represent their respective weights.   Then, we have: A + B + C = (45 x 3) = 135 .... (i)   A + B = (41 x 2) = 82 .... (ii)   B + C = (43 x 2) = 86 ....(iii)   Adding (ii) and (iii), we get: A + 2B + C = 168 .... (iv)   Subtracting (i) from (iv), we get : B = 33.   B's weight = 33 kg.   33 kg
Answer: A
reema has 25 mangoes.srujana has 13 mangoes. Totally how many mangoes they have in all?
Pick:  A) 20  B) 38  C) 30  D) 25  E) 15

Solution: 25+13= 
25+13 = 38
38. Answer is 38
Answer: B
A drama group that must consists of 7 members is to be formed from a pool of 10 candidates. How many different groups are possible?	Choose the correct choice from the following answers:
A) 112
B) 120
C) 40
D) 56
E) 336

Solution: Note that the drama group must consist of 7 members, not at least 7 members. Hence, all you have to do is 10C7 = 120   Answer (120)
Answer: B
What is the sum of all the multiples of 3 between 30 and 80?	Select the correct option.
A) 2103
B) 2106
C) 1053
D) 1252
E) 1535

Solution: You first have to know all the multiples of 3 between 30 and 80. They are 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,and78. If you add all these numbers together, you get1053.   Final Answer:1053
Answer: C
A manâ€™s current age is (2/5) of the age of his father. After 6 years, he will be (1/2) of the age of his father. What is the age of father at now?  Pick
A) 40 B) 45 C) 38 D) 50 E) 30

Solution: Let, fatherâ€™s current age is A years.   Then, Manâ€™s current age =[ (2/5)A ]years.   Therefore, [ (2/5)A + 6 ]= (1/2)(A + 6)   2(2A + 30) = 5(A + 6)   A = 30   30
Answer: E
How much is 80% of 40 is greater than 4/5 of 25?  Answers:  A) 15  B) 57  C) 16  D) 12  E) 73

Solution: (80/100) * 40 – (4/5) * 25   32 - 20= 
32 - 20 = 12
12   Answer: 12
Answer: D
There are 18 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
Choose the correct choice from the following choices:
A) 1370
B) 1530
C) 1790
D) 1950
E) 2110

Solution: The number of ways to choose two teams is 18C2 = 18*17/2= 
18*17/2 = 153
153   The total number of games in the season is  10*153= 
 10*153 = 1_530
1530.   The answer is 1530.
Answer: B
A freight elevator can carry a maximum load of 1100 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?	Select:
A) 59
B) 85
C) 190
D) 215
E) 210

Solution: The average of existing 2 package is150 + 280/2 = 430/2= 
430/2 = 215
215   Remaining allowed weight= 1100 - 200 - 430= 
1100 - 200 - 430 = 470
470.   allowed per package= 470 / 3 = 156   So difference in average of existing and allowable = 215 - 156= 
215 - 156 = 59
59   Hence 59
Answer: A
If A and B can do a piece of work in 7.5 days. If B works 1/2 of work and remaining work was completed by A, taking total time of 20 days to complete the work. If b is more efficient then B can do work in how many days?
Choose the correct choice from the following answers.
A) 9 days  B) 10 days  C) 11 days  D) 12 days  E) 13 days

Solution: 1/A + 1/B = 2/15 or (A+B)/AB= 2/15 ----(i)   (1/2)/(1/A) + (1/2)/(1/B) = 20 or A/2 + B/2 = 20 or A+B= 40 ----(ii)   Substituting A+B= 40 from (ii) in (i), we get AB= 300   Now finding the factors of 300, whose sum is 40, we have 10 and 30   As B is more efficient than A, B can do the work in 10 days.   ANSWER:10 days
Answer: B
There are three different hoses used to fill a pool: hose x, hose V, and hose z. Hose x can fill the pool in a days, hose V in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3	Select the correct option.
A) I	B) III	C) II	D) I&II	E) II&III

Solution: Name T = full pool   X fills a pool in a days ==> 1 day X fills: T/a   V fills a pool in b days ==> 1 day Y fills: T/b   Z fills a pool in c days ==> 1 day Z fills: T/c   1 day (X+V+Z) together fill: T(1/a + 1/b + 1/c)   d days (X+V+Z) together fill: T   ==> d = Tx1 / T(1/a+1/b+1/c) = abc/(ab+bc+ca)   ==>d = abc/(ab+bc+ca)   d cannot be greater than c ; d is greater than b ; d is greater than c/3 but not less than a/3   II
Answer: C
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:	Pick one.
A) Rs. 4800
B) Rs. 5000
C) Rs. 5400
D) Rs. 5600
E) Rs. 6600

Solution: let investment is x... den remaining investment is (9800-x)   x*9/75= (9800-x)*10/80   x=4800   9800-x=5000   ANSWER:Rs. 5000
Answer: B
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 5 less, he would have made a profit of 10%. The C.P. of the article was Answers
A) 960
B) 980
C) 900
D) 970
E) 1000

Solution: 1000xplanation:   Let original Cost price is x   Its Selling price = (105/100) * x = 21x/20   New Cost price = (95/100) * x = 19x/20   New Selling price = (110/100 )* (19x/20 )= 209x/200   [(21x/20) - (209x/200)] = 1   => x = 1000   Answer: 1000) Rs 1000
Answer: E
If A speaks the truth 40% of the times, B speaks the truth 80% of the times. What is the probability that at least one will tell the truth Choose the correct choice from the following:  A) 0.18  B) 0.12  C) 1.02  D) 1.2  E) 1.3

Solution: probability of A speaks truth p(A)=4/10;false=6/10   probability of 0.12 speaks truth p(0.12)=8/10;false=2/10.For given qtn   Ans=1-(neither of them tell truth).0.12ecause A & 0.12 are independent events   =1-[(6/10)*(2/10)]=1-12/100=1-0.88= 
1-0.88 = 0.12
0.12   ANSWER:0.12
Answer: B
Three coins are tossed. What is the probability of getting at most two tails? Pick one:  A) 7/9  B) 7/7  C) 3/3  D) 7/8  E) 7/2

Solution: Explanation:   It is given that 3 coins are tossed simultaneously.   =>Total outcomes when one coin is tossed=2   =>Total outcomes when 3 coins are tossed= 2n = 2 X 2 X 2   =8 outcomes   Favourable outcomes: TTH, THT, HTT, THH, THT,HHT,HHH=7   Therefore, Probability= 7/8   ANSWER: 7/8
Answer: D
The greatest possible length which can be used to measure exactly the length 6m, 4m 30cm, 4 m is
Choose the correct choice from the following.
A) 10	B) 27	C) 35	D) 87	E) 98

Solution: Explanation:   Required Length = H.C.F of 600 cm, 430 cm and 400 c   = 10 cm.   10nswer: 10) 10 cm
Answer: A
Set A consists of all the prime numbers between 62 and 85. What is the range of set A?	Choose the correct choice from the following answers:
A) 12
B) 13
C) 16.6
D) 16
E) 23

Solution: The range of a set of data is the difference between the highest and lowest values in the set   In this set,   Highest number = 83   Lowest number = 67   Range = Highest - Lowest = 83 - 67= 
83 - 67 = 16
16   Option 16
Answer: D
For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score T for the exam?	Choose the correct choice from the following answers.
A) 74
B) 76
C) 78
D) 80
E) 82

Solution: A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d   A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d   Solving above for Mean T= 74.   74nswer: 74.
Answer: A
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat?	Select the correct option
A) 4 B) 12 C) 14 D) 16 E) 28

Solution: Equate the fat:   0.1x + 0.25*8 = 0.2(x + 8) --> x = 4.   4nswer: 4.
Answer: A
A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 16 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?	Choose the correct choice: A) 20 B) 120 C) 59 D) 90 E) 100

Solution: to choose the sample of 2 customers from 16. it can be done 16C2 possible ways.   So the answer is B. 120
Answer: B
The average salary of all the 60 employees in an office is Rs. 12,000 per month. if the number of executives is twice the number of non executives employees, then the average salary of all the non executives employees is	Pick:
A) Rs. 9000	B) Rs. 8000	C) Rs. 6000	D) can't be determined	E) None

Solution: Answer   No. of executives / No. of non- executives   = 2 / 1   Therefore   Number of executives = 40   and number of non executives employees = 20   now , go through the options   Total salary = 40 x salary of executives + 20 x salary of non-executives   60 x 12000 = 40 x k + 20 x l, here k, l are unknowns   so we con't determine the required average salary   Correct Option: can't be determined
Answer: D
A is a working partner and B is a sleeping partner in a business. A puts in 80,000 and B 70,000. A gets 25% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the profit if B get 14000.  Choose the most appropriate option:  A) 42000  B) 46000  C) 54000  D) 40000  E) None of these

Solution: Let amount distributed between A and B is x   Ratio of capital between A and B is 8:7   If B get 14000 Then   x*7/15 = 14000   x*7 = 210000   x = 30000   Let total profit = y   y*75/100 = 30000   y = 40000   Answer 40000
Answer: D
What is the least whole number that should be added to 625573 if it is to be divisible by 3?	Choose the most appropriate option:
A) 6  B) 1  C) 4  D) 3  E) 2

Solution: A number is divisible by 3 if the sum of the digits is divisible by 3..   Here, 6+2+5+5+7+3=28, the next multiple of 3 is 30.   2 must be added to 625574 to make it divisible by 3   2
Answer: E
Seven fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?  Choose the correct choice from the following answers: A) 30 B) 36 C) 42 D) 48 E) 49

Solution: 7*6= 
7*6 = 42
42   The answer is 42.
Answer: C
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount R in 1996 as they paid in 1995?	Select
A) 33 1⁄3%
B) 40%
C) 50%
D) 66 2⁄3%
E) 100%

Solution: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount R in 1996 as they paid in 1995, water use should decrease in the same ratio   150-> 100 means 1/3 rd= 33(1/3) %.33 1⁄3%
Answer: A
In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options.
A) 48	B) 1720	C) 2880	D) 5040	E) 10080

Solution: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.   48nswer: 48.
Answer: A
In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? Choose the correct choice from the following choices: A) 8 B) 12 C) 15 D) 16 E) 18

Solution: 16 + 2 + 24 + x = 50   42 + x = 50   x = 8 students   8)
Answer: A
The average age of a husband, wife and their child 19 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?  Choose the correct option:	A) 3 years	B) 5 years	C) 16 years	D) 4 years	E) 14 years

Solution: Sum of the present ages of husband, wife and child   = (23 * 2 + 5 * 2) = 57 years.   Required average   = 57/19= 
57/19 = 3
3 years.   3 yearsnswer:3 years
Answer: A
It is currently 7:16 PM. At what time in the morning was it exactly 19,443 minutes earlier?
Choose the correct answer.
A) 7:11 B) 7:13 C) 7:17 D) 7:19 E) 7:21

Solution: Converting 19,443 minutes to hours, we get 19,443/60 = 324 R 3; that is 324 hours and 3 minutes. All of the answers are during the same hour of the morning, thus the hours can be assumed to bring us into the 7 AM hour evenly from 7:16 PM. Thus 324 hours ago was 7:16 AM. Take an extra 3 minutes off, and it was 7:13 AM. 7:13
Answer: B
A man has some hens and cows. If the number of heads be 46 and the number of feet equals 140, then the number of hens will be:
Choose the correct answer
A) 22 B) 23 C) 24 D) 26 E) 28

Solution: let hens be x and cows be y   now,   feet: x*2+y*4=140   heads: x*1+y*1=46   implies, 2x+4y=140 and x+y=46   solving these two equations, we get x=22 and y=24   Therefore, hens are 22.   22NSWER:22
Answer: A