MU-NLPC/Calc-aqua_rat huggingface dataset:
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it? Choose the correct choice from the following options.
A) 33 days
B) 27 days
C) 24 days
D) 18 days
E) 17 days

Solution: 2c = 1/4 + 1/6 – 1/3 = 1/12   c = 1/24 => 24 days   Answer: 24 days
Answer: C
If 4 men can colour 48 m long cloth in 2 days, then 5 men can colour 36 m long cloth in
Choose the correct answer.
A) 1.2 day B) 2.0 days C) 3 days D) 4.2 days E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 5 = 1.2 day.   1.2 day
Answer: A
If s=1 and (s-b)/c = 1 which of the following is NOT a possible value of b? Choose the correct choice from the following:
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: Equation is:   (s-b)/c = 1 where s = 1   so plug in 1 for s and look at it again   (1-b)/c = 1   now C can be anything we want, so if b = -2 we can plug it in and make it work   (1-(-2))/c = 1   3/c = 1   c = 3 and it works   HOWEVER, if we have a 0 in the numerator there isn't a number on earth that makes 0/C = 1   (1-1)/c = 1   0/c = 1   there aren't any matches for C to make this true   B cannot be 1.   Answer is 1
Answer: D
A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?	Options:
A) m:25.50 w:27.50	B) m:27.50 w:22.50	C) m:26.50 w:27.50	D) m: 24.50 w:26.50	E) None of these

Solution: Explanation:   Let the daily wage of a man be Rs. x.   Then, daily wage of a woman = Rs. (x - 5).   Now, 600x + 400 (x - 5) = 25.50 * (600 + 400) <=> 1000x = 27500 <=> x = 27.50.   Man's daily wages = Rs. 27.50; Woman's daily wages = (x - 5) = Rs. 22.50. Answer: m:27.50 w:22.50
Answer: B
What is the sum of all remainders obtained when the first 100 natural numbers are divided by 7?
Choose the correct choice
A) 397  B) 401  C) 403  D) 405  E) 364

Solution: A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.   1 divided by 9 gives the remainder of 1;   2 divided by 9 gives the remainder of 2;   ...   8 divided by 9 gives the remainder of 8;   9 divided by 9 gives the remainder of 0.   We'll have 11 such blocks, since  99/9= 
 99/9 = 11
11. The last will be:   91 divided by 9 gives the remainder of 1;   92 divided by 9 gives the remainder of 2;   ...   98 divided by 9 gives the remainder of 8;   99 divided by 9 gives the remainder of 0.   The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:   11(1+2+3+4+5+6+7+8+0)+1=364.   Answer: 364.
Answer: E
If the equation x^2−6x=2k has at least one solution, which of the following must be true?
Choose the correct choice from the following.
A) k > 9
B) k < −9
C) k = 9
D) k ≤ 9
E) k ≥ −9/2

Solution: x^2−6x=2k   => x^2−6x - 2k = 0   For a quadratic equation to have at least one solution, its discriminant (b^2-4ac) should be non-negative.   b^2-4ac ≥0   => 36 - 4*1*(-2k) ≥0   => 36 + 8k ≥0   => k ≥ -9/2   Answer k ≥ −9/2
Answer: E
Find the greatest number which divides 83, 125 and 209 leaving the same remainder in each case.
Options:  A) 19  B) 17  C) 42  D) 23  E) 32

Solution: The greatest number which divides three dividends p, q and r leaving the same remainder in each case is given by H.C.F(any two of (q - p), (r - p) and (r - q)).   For the given problem, p = 83, q = 125 and r = 209.   Hence the greatest number which divides these three leaving the same remainder in each case is H.C.F(any two of (125 - 83, 209 - 83, 209 - 125) = 42.   ANSWER:42
Answer: C
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error. Choices:
A) 64%  B) 65%  C) 66%  D) 67%  E) 68%

Solution: Explanation:   Let the number be x,   then,   5/3−3/5=16/15x   Error% =   (16/15x∗3/5∗100)   64%nswer: Option 64%
Answer: A
A and B both work for the same company. A goes to work Monday through Thursday, and B goes to work Tuesday thru Thursday. A takes 2 weeks of vacation per year, and B only takes 1 week. They do not take their vacations during the same week. What percent of the year can they carpool to work together, assuming they both have the same schedule? 1 year = 52 weeks = 364 days	Choose the correct choice from the following
A) 42.9% B) 56.4% C) 45.6% D) 27.2% E) 40.4%

Solution: A works M T W Th and B works T W Th   A and B work the same days on T W TH or 3/7   They don't work the same schedule for 3 weeks out of 52.   For 49 of the 52 weeks (i.e. 49/52=94.2%) they can carpool 3 days each week (i.e. 3/7=42.9%)   In a year, they can carpool 49/52 x 3/7 = 147/364 or 40.4% of the year.   Answer is 40.4%
Answer: E
9 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choose the correct choice from the following answers:
A) 12/9 days	B) 15/2 days	C) 82/8 days	D) 22/76 days	E) 22/2 days

Solution: 9M = 6W ---- 20 days   12M + 8W -----?   8W + 8 W = 16W ---?   6W ---- 20 16 -----?   6 * 20  8  + 8= 
 8  + 8 = 16
16W ---?   6W ---- 20 16 -----?   6 * 20= 16 * x => x = 15/2 days   Answer:15/2 days
Answer: B
The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 50, what is the possible maximum range of the temperatures? Choose the correct choice
A) 50	B) 25	C) 40	D) 45	E) 75

Solution: 50verage=60, Sum of temperatures=60*5= 
60*5 = 300
300   50s the min temperature is 50, max would be   300-4*50= 
  300-4*50 = 100
100 --> The range=100(max)-50(min)=50   50nswer: 50
Answer: A
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?  Choose the correct choice from the following choices: A) 8/35 B) 34/35 C) 27/35 D) 21/32 E) 33/35

Solution: Solution:   P(8/35) = 2/5   P(B) = 4/7   E = {8/35 and B both get selected}   P(E) = P(8/35)*P(B)   = 2/5 * 4/7   = 8/35   8/35NSWER IS 8/35
Answer: A
A certain no. when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choose the correct choice
A) 2
B) 4
C) 5
D) 8
E) 9

Solution: Explanation:   50 + 25= 
50 + 25 = 75
75/15= 
75/15 = 5
5 (Remainder)   5
Answer: C
Pandiyan buys an old scooter for Rs. 6000 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 7200, his gain percent is : Answers
A) 20%  B) 12%  C) 9.09%  D) 5%  E) None of these

Solution: Explanation :   Solution: C.P. =Rs. (6000+600) =Rs. 6600; S.P. = Rs. 7200.   Gain% = 7200-6600/6600*100 = 9.09%   Answer : 9.09%
Answer: C
500 x (200 + 4) Ã— (3 + 2) = ? Choose the most appropriate option.
A) 55000 B) 450000 C) 250000 D) 410000 E) 510000

Solution: 500 x204 x 5 =510000 Answer : 510000
Answer: E
Two tains 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 answers:
A) 12
B) 24
C) 36
D) 48
E) 38

Solution: Sol.   Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/12 ⇔ 2x = 20 ⇔ x = 10.   ∴ Speed of each train = 10 m/sec = [10 * 18/5] km/hr = 36 km/hr.   Answer 36
Answer: C
If a certain sample of data has a mean of 25.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choose the correct choice from the following options.
A) 12.0 B) 13.5 C) 17.0 D) 23.5 E) 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 25-7.5=17.5.5or more than 25+7.5=32.5.   Answer: 17.0.
Answer: C
The number 0.650 is how much greater than 1/8 ?
Choose the correct choice.
A) ½	B) 21/40	C) 1/50	D) 1/500	E) 2/500

Solution: let x be the difference   then   .65-1/8=x   65/100-1/8=x   x=21/40   ans 21/40
Answer: B
Which of the following multipliers will cause a number to be increased by 29.7%? Choose the correct choice from the following choices
A) 1.297  B) 12.97  C) 129.7  D) 1297  E) None

Solution: Solution   Let the number be 100 and required multiplier be y.   Then, 100y = 129.7   y = 129.7 / 100= 
129.7 / 100 = 1.297
1.297   Answer 1297
Answer: D
How many diagonals does a polygon with 17 sides have, if one of its vertices does not connect to any diagonal? Choose the correct choice
A) 102
B) 104
C) 110
D) 90
E) 84

Solution: If I calculate it using the formulae, #diagonals = n (n-3)/2Each vertex sends of n-3 diagonals   n= 17-1 then 16*(16-3)/2= 
16*(16-3)/2 = 104
104   Correct Option:	104
Answer: B
For any real number x, the operatoris defined as:
(x) = x(6 − x)
If p + 1 =(p + 1), then p = Options:
A) −2
B) 0
C) 1
D) 2
E) 5

Solution: (x) = x(6 − x)   (p + 1) = (p + 1)(6 - p - 1) = (5-p)(p+1)   We are given that p + 1 =(p + 1)   Therefore (5-p)(p+1) = (p + 1)   Or (p + 1) + (5-p)(p+1) = 0   (p + 1)(p-5) = 0   p = -1,p=5   Option 5
Answer: E
Diane find 6 cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choose the correct choice from the following choices:	A) 5	B) 7 and a half	C) 10	D) 12 and a half	E) 30

Solution: She will need 12 cans to paint the rest of this room and 18 for the next room for a total of 30 cans.   30
Answer: E
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes. How long will it take to go 5 km in stationary water? Options:
A) 40 minutes	B) 1 hour	C) 1 hour 15 min	D) 1 hour 30 min	E) 1 hour 40 min

Solution: speed (upstream) =2/1= 
2/1 = 2
2 kmhr   speed (downstream)=1/(15/60)= 
1/(15/60) = 4
4 kmhr   speed in still water= 1/2 (2+4) = 3 kmhr   time taken in stationary = 5/3 = 1 hrs 40 min   ANSW1 hour 40 minR:1 hour 40 min
Answer: E
If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Answers:  A) A)10  B) B)20  C) C)25  D) D)30  E) E)35

Solution: 2:3   2x + 10 : 3x + 10 = 3 : 4   4[2x + 5] = 3[3x + 5]   8x + 20 = 9x + 15   9x - 8x = 20 - 15= 
20 - 15 = 5
5   Then smallest number is= 2   2x = 10   Correct Option 10
Answer: A
A thief is spotted by a policeman from a distance of 300metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 16km/hr and that of the policeman 20km/hr, how far the thief will have run before he is overtaken ? Choose the most appropriate option.
A) A)1km
B) B)500m
C) C)650m
D) D)750m
E) E)1200m

Solution: Relative speed of the policeman = 20-16= 
20-16 = 4
4 km/hr   time taken by policeman to cover 300m= (300/1000)*(1/4) = 3/40 hr   In 3/40 hr the thief covers a distance of 48/40 km = 6/5 km = 1200m   Answer is 1200m
Answer: E
√(14)^2
Pick
A) 7	B) 14	C) 49	D) 21	E) None of these

Solution: explanation   √(14)^2 =?   or, ? = 14   Answer 14
Answer: B
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?	Choose the correct choice from the following options: A) 8 days B) 9 days C) 11 days D) 13 days E) 15 days

Solution: That is, 1 work done = 12 × 8 × 10   Then, 12 8 × 10 = ? × 15 × 8   ? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days.   8 days)
Answer: A
The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is? Options:  A) 297  B) 879  C) 323  D) 762  E) 269

Solution: 400*(85/100)*(95/100)= 
400*(85/100)*(95/100) = 323
323   Answer: 323
Answer: C
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 9180, how much money did he borrow?  Choose the correct choice from the following options.
A) 9000  B) 80288  C) 2668  D) 2600  E) 2781

Solution: Let the sum be Rs. x. Then,   [(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 9180   18x + 45x + 39x = (9180 * 100)   102x = 918000 => x = 9000.   9000nswer:9000
Answer: A
If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?	Choose one:  A) 1.44  B) 1.42  C) 1.49  D) 1.42  E) 1.43

Solution: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.   In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%   1.44nswer:1.44
Answer: A
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 2 years hence? Choose the correct choice:
A) 58
B) 59
C) 64
D) 70
E) 74

Solution: Explanation:   A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   2 years, their ages will be 42 and 22.   Sum of their ages = 42 + 22= 
42 + 22 = 64
64.   64)
Answer: C
A, B and C can do a work in 6, 9 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?  Pick one:
A) Rs.245.8  B) Rs.653.8  C) Rs.300  D) Rs.400  E) Rs.748.5

Solution: WC = 1/6:1/9:1/12 => 6:4:3   4/13 * 1800 = 653.8   ANSWER:Rs.653.8
Answer: B
A large kennel has a gate for dogs to enter and a gate for dogs to exit. The kennel can be filled with dogs who use the entrance in 5 hours. The exit gate can be used to empty the kennel in 15 hours. If it is desired that the kennel should be filled, from empty, exactly 6 hours after the entrance gate is opened at 9:30am, then at what time should the exit gate be opened ?  Choose the correct option:	A) 10:00am	B) 10:45am	C) 12:00pm	D) 12:30pm	E) 1:30pm

Solution: In 6 hours the entrance gate can accept the amount of dogs equal to 6*1/5 = 6/5 of the kennel. So, 1/5 more than necessary, which should be compensated by the exit gate. To ride the kennel 1/5 of the dogs the exit gate needs 15/5= 
15/5 = 3
3 hours.   Therefore, the exit gate should be opened at 9:30am + 6 hours - 3 hours= 12:30pm.   Answer: 12:30pm.
Answer: D
At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 155 male associates, how many female managers are there?
Choose the correct choice from the following choices.
A) 15	B) 20	C) 25	D) 30	E) 35

Solution: 250 Employees:   90 Male, 160 Female   40 Managers, 210 Associates   155 Male Associates implies 55 Female Associates which means the remaining 35 females must be Managers   E. 35
Answer: E
On a trip, a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles. If the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip, what was the average speed (in miles per hour) for the return trip?	Choose the most appropriate option.
A) 9  B) 10  C) 11  D) 12  E) 13

Solution: The time to go 32 miles was 16/8+16/10=2+1.6= 
2+1.6 = 3.6
3.6 hours.   The average speed for the return trip was 32 miles/3.2 hours= 10 mph.   The answer is 10.
Answer: B
What is the minimum value of z for which z^2 + z - 3/14 > 0 is not true?
Select:
A) -5/7
B) -3/7
C) -1/7
D) 1/7
E) 4/7

Solution: I think -3/7 -3/7 is the best ans...
Answer: B
Goldenrod and No Hope are in a horse race with 7 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?  Select.
A) 5040	B) 2520	C) 1200	D) 240	E) 210

Solution: All 7 horses can finish the race in 7! way (assuming no tie).   If no tie is possible between No Hope and Goldenrod, then in half of these cases No Hope will be before Goldenrod and in half of these cases after (not necessarily right before or right after). How else? So, there are 7!/2=2520 different arrangements of finishes where No Hope always finishes before Goldenrod.   Answer: 2520.
Answer: B
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?	Choose the most appropriate option:  A) 3 1/5 Km  B) 2 1/5 Km  C) 4 1/5 Km  D) 5 1/5 Km  E) 6 1/5 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 16/6   = 24/2 * 16/60   = 8 * 2/5   = 16/5 = 3 1/5 Km   3 1/5 Kmnswer: Option '3 1/5 Km'
Answer: A
As a bicycle salesperson, David earns a fixed salary of $25 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<3x II. y>x III. y>1 Choose the most appropriate option:  A) I,III only  B) III only  C) I only  D) II only  E) II,III only

Solution: II. y>x --> since this week, David earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);   III. y>1 --> if David sold 3 bicycles this week then this week he earned 25+3*6= 
25+3*6 = 43
$43, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $25. So y must be more than 1;   I. y<3x --> is not always true.   Answer: II,III only
Answer: E
In an increasing sequence of 6 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 2 integers in the sequence?
Choose the correct choice from the following options.
A) 291
B) 290
C) 274
D) 270
E) 265

Solution: Solution:   In solving this problem we must first remember that when we have 6 consecutive integers we can display them in terms of just 1 variable. Thus, we have the following:   Integer 1: x   Integer 2: x + 1   Integer 3: x + 2   Integer 4: x + 3   Integer 5: x + 4   Integer 6: x + 5   We are given that the sum of the first 4 integers is 570. This means that:   x + x+1 + x+2 + x+3 = 570   4x + 6 = 570   4x = 564   x = 141   The sum of the last 2 integers can be expressed and simplified as:   x+4 + x+5 = 2x + 9   Substituting 141 for x yields:   (2)(141) + 9 = 291   291nswer: 291
Answer: A
Sandy can do a job in 15 days and Molly can do the same job in 30 days. If they work together, in how many days will they complete the job? Choices:
A) 8  B) 9  C) 10  D) 11  E) 12

Solution: Sandy can do 1/15 of the job each day.   Molly can do 1/30 of the job each day.   The combined rate is 1/15 + 1/30 = 1/10 of the job each day.   The job will take 10 days.   The answer is 10.
Answer: C
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and repetition is allowed? Pick one
A) 3441  B) 3433  C) 3333  D) 3430  E) 3773

Solution: Vowel: E O   Consonants: V R M N T   First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)   Fifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)   Second letter can be filled in 7 Ways   Third letter can be filled in 7 Ways   Fourth letter can be filled in 7 Ways   So, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430   Answer 3430
Answer: D
5, 9, 17, 29, 45, ?  Choose one.
A) 49  B) 87  C) 60  D) 65  E) 44

Solution: 65   65   The pattern is + 4, + 8, + 12, + 16, ....
Answer: D
The present ages of A,B & C are in proportions 4:7:9. 8 years ago, the sum of their ages was 56. What are their present ages? Choose the correct choice from the following answers:
A) 10,20 and 36
B) 16,22 and 36
C) 16,28 and 36
D) 14,18 and 36
E) None

Solution: Let present age of A,B and C be 4x,7x and 9x respectively.   (4x−8)+(7x−8)+(9x−8)=56⇒20x=80⇒x=4   Hence present age of A, B and C are   4×4, 7×4 and 9×4 respectively.   i.e., 16,28 and 36 respectively.   16,28 and 36
Answer: C
A train 300m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choose the correct choice from the following options:
A) A)175kmph
B) B)113kmph
C) C)162kmph
D) D)145kmph
E) E)100kmph

Solution: Let the speed of the train be x kmph   Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec   300/[(x+5)*5/18] = 10   10(x+5) = 60*18   x = 175kmph   Answer is 113kmph
Answer: B
A train 250 m long passed a pole in 10 sec. How long will it take to pass a platform 1250 m long?  Choose the correct option:	A) 60 sec	B) 90 sec	C) 120 sec	D) 150 sec	E) 180 sec

Solution: Speed = 250/10= 
250/10 = 25
25 m/sec.   Required time= (250 + 1250)/25= 
(250 + 1250)/25 = 60
60 sec   60 secnswer:60 sec
Answer: A
Two horses begin running on an oval course at the same time. One runs each lap in 4 minutes; the other takes 16 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
Choose the correct option:  A) 36  B) 12  C) 16/3  D) 4  E) 3

Solution: The rate of the faster horse is 1/4 lap/minute;   The rate of the slower horse is 1/16 lap/minute;   Their relative rate is 1/4-1/16=3/16 lap/minute;   The faster horse to gain one full lap will need time=distance/rate=1/(3/16)=16/3 minutes.   Answer: 16/3
Answer: C
Two tailors x and y are paid a total of $100 per week by their employer. If x is paid 150% of the sum paid to y. How much is y paid per week?	Choose the correct choice from the following
A) 28.6 B) 15.9 C) 36.3 D) 45.5 E) 19.2

Solution: Let the sum paid to y per week be $z   then, z+150% of z = 100   z+(150/100)z = 100   z = 28.6   28.6nswer is 28.6
Answer: A
1100 boys and 700 girls are examined in a test; 45% of the boys and 30% of the girls pass. The percentage of the total who failed is ?
Choose the correct choice from the following options.
A) A)63.3%  B) B)60.8%  C) C)81.2%  D) D)75.4%  E) E)69.1%

Solution: Total number of students = 1100+700= 
1100+700 = 1_800
1800   Number of students passed= (45% of 1100+30% of 700) = 495+210= 
495+210 = 705
705   number of failures= 1095*100/1800 = 60.8%   Answer is 60.8%
Answer: B
If A:B = 1/7: 1/3 B:C = 1/2:1/3 then A:B:C?
Pick one
A) 9:6:6
B) 9:6:8
C) 9:6:2
D) 9:6:4
E) 9:21:14

Solution: A:B = 1/7:1/3 = 3:7   B:C = 1/2:1/3 = 3:2   --------------------   A:B:C = 9:21:14   Answer:9:21:14
Answer: E
z, b, and c are positive integers. If z, b, and c are assembled into the six-digit number zbczbc, which one of the following must be a factor of zbczbc? Choose the most appropriate option:
A) 16	B) 13	C) 5	D) 3	E) none of the above

Solution: Plug in some values and check -   zbczbc = 123123   Not divisible by 16 and 5   let zbczbc = 125125   Not divisible by 3   Only option (B) and (E) is left in both the cases...   Check once more to marke (13) as correct answer   let zbczbc = 135135   Again divisible by 13   So, mark answer as (13) 13
Answer: B
A company recently conducted a survey and found that 25,000 of its customers live in rural areas. If the number of customers who live in urban areas is 120 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?	Choose one
A) 50,000 B) 55,000 C) 60,000 D) 65,000 E) 70,000

Solution: The number of customers in urban areas is 25,000+1.2*25,000=55,000.   The answer is 55,000.
Answer: B
The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 900 per sq. metre.
Choose the correct choice from the following answers
A) s. 19,800  B) s. 15,600  C) s. 16,500  D) s. 17,600  E) s. 17,900

Solution: Area of the floor = (5.5 Ã— 4) m2 = 22 m2.   Cost of paving = Rs. (900 Ã— 22) = Rs. 19800   s. 19,800nswer: Option s. 19,800
Answer: A