MU-NLPC/Calc-aqua_rat huggingface dataset:
A box contains 60 balls, numbered from 1 to 60. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Pick one
A) 1/4  B) 3/8  C) 1/2  D) 5/8  E) 3/4

Solution: I don't think order matters in this case, because 2 + 2 + 1 = 2 + 1 + 2   My answer is: 1/4 1/4
Answer: A
Shanthi went to the stationers and bought things forh 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?  Answers
A) 19.7  B) 20  C) 25  D) 24.5  E) 32.9

Solution: amt tax consider as x   6% of x = 30/100   x=30/100*100/6= 
30/100*100/6 = 5
5   cost of tax free items= (25-(5+0.30) = 19.70   19.7NSWER 19.7
Answer: A
A boy has Rs. 720 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choose the most appropriate option
A) 90  B) 110  C) 140  D) 135  E) 120

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 720   16x = 720   x = 45   Hence, total number of notes = 3x = 135   135
Answer: D
If ax = by	Answers:	A) log a/b = x/y	B) log a/ log b = x/y	C) log a/ log b = y/x	D) None	E) Cannot be determined

Solution: Solution   ax = by	= log ax= log by   ‹=› x log a = y log b   ‹=› log a / log b= y/x.   Answer log a/ log b = y/x
Answer: C
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $4 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Select the correct option:
A) 45% B) 13% C) 11% D) 12% E) 15%

Solution: You know that Fox jeans costs $15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So   3(15) = 45 - Fox   2(18) = 36 - Pony   The total discount discount is $4 and you are asked to find the percent discount of pony jeans,   so 45(18 - X)/100 + 36(X)/100 = 4 or 45*18 -45*x + 36*x =400 or - 9x = 400-45*18   or x= 410/9 =45%   =45% 45%
Answer: A
A batsman scored 1 runs in his 18th innings and that makes his average 18. Find his average upto
the 17th innings?
Pick one:
A) 19	B) 20	C) 21	D) 22	E) 23

Solution: Avg = sum of the value/No. of the value   18 = (Sum of the first 17 innings Score +1)/18   (18*18-1)= Sum of the first 17 innings Score   Sum of the first 17 innings Score = 323   19ve upto 17 innings = 323/17= 
323/17 = 19
19   19NSWER:19
Answer: A
The perimeter of a semi circle is 140 cm then the radius is?	Choose the correct choice:	A) 27	B) 28	C) 19	D) 11	E) 12

Solution: 36/7 r = 140 => r   = 27   27nswer: 27
Answer: A
According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 280 6 ounces servings of orange juice? Choose the correct choice from the following choices:
A) a) 35 B) b) 34 C) c) 50 D) d) 67 E) e) 100

Solution: Its A.   Total juice rquired = 280*6= 
280*6 = 1_680
1680 ounce   12 ounce concentate makes= 12 * 4= 
12 * 4 = 48
48 ounce juice   Total cans required= 1680/48= 
1680/48 = 35
35.   a) 35nswer a) 35
Answer: A
Fill in the blank with the correct number in this number series: 20, 65, 27, 61, __, 57, 41, ?
Choose the correct choice from the following answers:
A) 34 B) 35 C) 38 D) 25 E) 56

Solution: This is a simple alternating subtraction and addition series; The first series begins with 20 and adds 7; the second begins with 65 and subtracts 4, and so on.   34nswer: 34
Answer: A
The Racing magic takes 50 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Pick one:
A) 3
B) 6
C) 9
D) 12
E) 15

Solution: Time taken by Racing magic to make one circle = 50 seconds   Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds   LCM of 90 and 50 seconds = 450 seconds   Time taken for them to meet at the starting point for the second time = 450 *2= 
450 *2 = 900
900 seconds= 15 mins   Answer 15
Answer: E
A loan has a variable interest rate that fluctuates between 4% and 9% of the base payment per month. If base payments remain at $500 each month and an additional monthly surcharge of 2% is added to the combined (base + interest), what would be the greatest possible payment due in any given month? Choose the correct choice from the following answers
A) $555.45 B) $555.55 C) $555.90 D) $556.45 E) $556.90

Solution: The maximum interest in one month is 9%*$500=$45.   The combined payment (base plus interest) is $500 + $45 = $545.   The greatest possible payment is: 1.02*$545  500 +  45= 
  500 +  45 = 545
$545.   The greatest possible payment is: 1.02*$545=$555.90.   The answer is $555.90.
Answer: C
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 16 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three? Options.
A) 2  B) 4  C) 8  D) 7  E) 32

Solution: You are considering a case when cat dogs and rabbit are not exactly equal to 12 .   The solution shall be 60=30+40+16-12-2x   and hence x shall be 7.   Answer 7
Answer: D
A sum of Rs. 12500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest? Options:
A) 4%
B) 5%
C) 6%
D) 8%
E) 14%

Solution: S.I. = (15500 - 12500) = Rs. 3000/-   Rate = (100 * 3000) / (12500 * 4)= 
(100 * 3000) / (12500 * 4) = 6
6%   ANSWER:6%
Answer: C
The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?	Select the correct option:
A) 5% B) 4% C) 6% D) 7% E) 2%

Solution: increase in the population in 10 yrs=   262500 - 175000= 
262500 - 175000 = 87_500
87500   percent increase in the population in 10 yrs= 87500/175000*100 = 8750/175= 
8750/175 = 50
50%   avg percent increase of population per yr   50%/10=5%   5%NSWER 5%50 /10= 
50 /10 = 5
5%   5%NSWER 5%
Answer: A
A tightrope approximately 320 m long is suspended between two poles. During a performance, a break occurs in the line. Assume that the line has an equal chance of breaking anywhere along its length. What is the probability that the break happened in the first 50 meters of the rope?  Choose the correct choice from the following answers
A) 27/32  B) 1/2  C) 5/32  D) 5/27  E) . 2/3

Solution: Simly 50/320 = 5/32   Answer will be (5/32)
Answer: C
8.036 divided by 0.04 gives :
Select the correct option:
A) 200.9	B) 2.06	C) 20.06	D) 100.9	E) 200.6

Solution: = 8.036/0.04   = 803.6/4= 
803.6/4 = 200.9
200.9   200.9nswer is 200.9.
Answer: A
If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=u
ii. u is not equal to v
iii. s > v  Choose the correct choice from the following choices
A) None B) I only C) II only D) III only E) II and III

Solution: Given: 2s=2u+2v --> s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option III must be true.   Answer: III only.
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?  Choices:
A) 1345460 m
B) 134500 m
C) 153600 m
D) 167360 m
E) 173600 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
If a survey shows that 56 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?  Choose the correct choice.
A) 56%
B) 64%
C) 72%
D) 82%
E) 86%

Solution: 56 out of 200 supports the bill and we are asked to find the percent who the does not support the bill.   56 out of 200 supports the bill = 28 out of 100 supports the bill ( taking in % terms )   28 out of 100 supports the bill = 72 (100-28) doesn't support the bill   So, answer is (72%) 72%
Answer: C
Gopal borrows Rs 1,00,000 from a bank at 10% p.a. simple interest and clears the debt in five years. If the installments paid at the end of the first, second, third and fourth years to clear the debt are Rs 10,000, Rs 20,000, Rs 30,000 and Rs 40,000 respectively, what amount should be paid at the end of the fifth year to clear the debt? Choose the correct choice from the following
A) Rs 20,000  B) Rs 24,500  C) Rs 30,000  D) Rs 35,900  E) None

Solution: Explanation:   Always remember, In the case of simple interest, installment amount will always be reduced from principal and the interest will be calculated on the remaining principal.   Simple interest for the first year = P×T×R/100=100000×1×10/100 = Rs.10000   Amount after first instalment is paid = 1,00,000 - 10,000 = Rs 90,000   Simple interest for the second year = P×T×R/100=90000×1×10/100= Rs.90,000   Amount after second instalment is paid = 90,000 - 20,000 = Rs 70,000   Simple interest for the third year = P×T×R/100=70000×1×10/100= Rs.7000   Amount after third instalment is paid = 70,000 - 30,000 = Rs 40,000   Simple interest for the fourth year = P×T×R/100=40000×1×10/100 = Rs.4000   Amount after fourth instalment is paid = 40,000 - 40,000 = 0.   Balance of debt for the fifth year = simple interest for four years = 10,000 + 9,000 + 7,000 + 4,000 = Rs 30,000.   Answer Rs 30,000
Answer: C
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate. Choose the correct choice from the following answers.
A) Rs.256.22 B) Rs.256.29 C) Rs.256.28 D) Rs.256.81 E) Rs.256.25

Solution: Rs.256.25xplanation:   Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.500   (P)(8)(5)/100 = 500   P = 1250   C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years   =2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}   = 2500/400(441 - 400)   = 25/4(41) = 1025/4 = Rs.256.25   Answer:Rs.256.25
Answer: E
40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?  Choose the correct choice from the following answers:	A) 12	B) 61	C) 17	D) 90	E) 15

Solution: Given, 40% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 40% of Ram's marks = 24.   => Ram's marks = (24 * 100)/40= 
(24 * 100)/40 = 60
60   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (60 + 120)/2= 
(60 + 120)/2 = 90
90.   Answer: 90
Answer: D
A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ? (Its a Previously asked on SSC 2012 exam) (*without a train question it is impossible to conduct an exam, I think you got, what I mean)	Options
A) 40.4 sec	B) 50.4 sec	C) 40.5 sec	D) 50.5 sec	E) 52.0 sec

Solution: Speed = 55 Km/hr   (to convert km/hr in to M/s)   = 55 x 5/18 M/s   Distance = 250 m + 520 m ( If questions is about train crossing a post you need to consider only the length of Train, )   = 770 m   Time = Distance / Speed   = 770 x 18 / (5 x 55)   = 50.4 sec   Answer: OPTION 50.4 sec
Answer: B
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choose the correct choice from the following choices:
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: Let the required number of working hours per day be x.   More pumps, Less working hours per day (Indirect Proportion)   Less days, More working hours per day (Indirect Proportion)   Pumps	4	:	3 :: 8 : x   Days 1	:	2   Therefore, 4 x 1 x x = 3 x 2 x 8   => x =(3 x 2 x 8) / (4)   x = 12.   Correct answer is 12
Answer: D
The sum of number of boys and girls in a school is 1150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?  Choose the correct option.
A) 50	B) 40	C) 60	D) 92	E) 70

Solution: We have x+x% of 1150 = 1150   x + x/100 * 1150 = 1150   25/2 * x = 1150   x = 1150*2/25= 
1150*2/25 = 92
92   Answer is 92
Answer: D
If the sum of the 4th term and the 12th term of an arithmetic progression is 10, what is the sum of the first 15 terms of the progression?  Pick:  A) 65  B) 75  C) 60  D) 55  E) 50

Solution: 4th term + 12th term = 10   i.e., (a+3d)+(a+11d) = 10   Now, Sum of first 15 terms = (15/2) * [2a + (15-1)d]   = (15/2) * [2a + 14d]   = (15/2) * 10 --------------- From (1)   =75   Answer : 75
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?	Options:
A) 4000
B) 345
C) 5673
D) 4530
E) 4566

Solution: Area of the four walls = 2h(l + b)   Since there are doors and WINDOWS, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5 = Rs. 4530   Answer: Option 4530
Answer: D
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.	Options:	A) 19828.83	B) 19828.8	C) 19828.82	D) 19828.89	E) 19828.81

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs. 19828.80.Answer:19828.8
Answer: B
What amount does an investor receive if the investor invests $5000 at 10% p.a. compound interest for two years, compounding done annually?  Choose the correct option:
A) $5850
B) $5950
C) $6050
D) $6150
E) $6250

Solution: A = (1 + R/100)^n * P   (1.1)^2 * 5000 = 1.21 * 5000= 
1.21 * 5000 = 6_050
6050   The answer is $6050.
Answer: C
If shares of two persons in profits are Rs.600 and Rs.1000 then ratio of their capitals is  Choose the correct choice from the following:	A) 3:5	B) 2:3	C) 4:3	D) 1:3	E) 1:2

Solution: profit=time*capital   so 600:1000=3:5   3:5NSWER:3:5
Answer: A
What is the median from the below series
32, 36, 34, 29, 28, 37, and 39  Choose the most appropriate option:
A) 29  B) 34  C) 37  D) 39  E) 32

Solution: Ordering the data from least to greatest, we get:   28, 29, 32, 34, 36, 37, 39   The median number was 34. (three numbers were higher than 34	and three were lower.)   34
Answer: B
A cycle is bought for Rs.670 and sold for Rs.880, find the gain percent?
Choices.
A) 31%  B) 35%  C) 54%  D) 38%  E) 80%

Solution: Explanation:   670 ---- 210   100 ---- ? => 31%   31%nswer: 31%
Answer: A
How many days per calendar year is the month a factor of the day Choose the correct option.
A) 0
B) 1
C) 59
D) 90
E) 101

Solution: Solution: 1   All 31 days in January, because 1 is a factor of all integers   14 of the 28 days in February (because every other day is divisible by 2)   10 of the 31 days in March (the multiples of 3 between 3 and 30)   7 days in April (the multiples of 4 between 4 and 28)   6 days in May (the multiples of 5 between 5 and 30)   5 days in June (the multiples of 6 between 6 and 30)   4 days in July (the multiples of 7 between 7 and 28)   3 days in August (the multiples of 8 between 8 and 24… so, so close if only the month were 32 days long!)   3 days in September (9th, 18th, 27th)   3 days in October (10th, 20th,30th)   2 days in November (11th, 22nd)   2 days in December (12th, 24th)   And there you have it! As you can see, as you move through the months, your job starts to get easier as you pick up on the patterns and are able to reuse some of your previous insights… This is a very valuable skill to remember on test day!   1
Answer: B
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the article is:  Choices:
A) 487
B) 277
C) 222
D) 297
E) 111

Solution: Explanation:   120% of S.P. = 616   S.P. = (616 * 100)/120 = Rs. 560   C.P = (100 * 560)/115 = Rs. 487   487nswer:487
Answer: A
What number is that, which is to 12 increased by three times the number, as 2 to 9 ?  Choices
A) 6  B) 7  C) 8  D) 9  E) 10

Solution: Let x = the number sought.   Then x/12 + x + 12 = 64.   6nd x - 624/13 = 48.
Answer: A
One hour after Yolanda started walking from X to Y, a distance of 52 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met? Choose the correct choice:	A) 28	B) 23	C) 22	D) 21	E) 19.5

Solution: When B started walking Y already has covered 3 miles out of 52, hence the distance at that time between them was   52-3= 
  52-3 = 49
49 miles.   Combined rate of B and Y was   3+4= 
  3+4 = 7
7 miles per hour, hence they would meet each other in  49/7= 
 49/7 = 7
7 hours. In 6 hours B walked  7*4= 
 7*4 = 28
28 miles.   28nswer: 28.
Answer: A
Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 10% and the third was 10%. What will be the percentage decrease, if the salary is decreased in a single shot?
Select:	A) 27.1%	B) 29.1%	C) 21.1%	D) 23.1%	E) 25.1%

Solution: Let Rs.100 be initial salary.   Salary After 1st decrease, 10% = 90   Salary After 2nd decrease, 10% = 81 i.e. reduced by 19 percent of 90   Salary After 3rd decrease, 10% = 72.9 i.e. reduced by 10 percent of 81   So if its decreased in single shot =   i = ( ( b - a ) /b ) * 100   =27.1%   27.1%NSWER:27.1%
Answer: A
The tax on a commodity is diminished by 10% and its consumption increased by 20%. The effect on revenue is?	Choose one:
A) 2% decrease B) 8% increase C) 9% decrease D) 3% decrease E) 2% decrease

Solution: 100 * 100= 
100 * 100 = 10_000
10000   90 * 120= 
90 * 120 = 10_800
10800   -----------   10000-----------800   100-----------?=> 8% increase   Answer: 8% increase
Answer: B
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Five years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choose the correct choice.
A) A)24  B) B)89  C) C)40  D) D)56  E) E)45

Solution: Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then,	(5x + 5/4x + 5)=11/9   9(5x + 5) = 11(4x + 5)   45x + 45 = 44x + 55   45x - 44x = 55 - 45= 
55 - 45 = 10
10.   Anand's present age= 4x = 40 years.   Answer:40
Answer: C
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 5 meters per second and Jerry is running 50% slower, how much time will it take them to meet if the initial distance between the two is 200 meters and Tom started running 40 seconds before Jerry did?	Select.
A) 40 sec B) 35 sec C) 1 mnt D) 52 sec E) 30 sec

Solution: Tom is running alone for 40 seconds.   So he will cover a distance of  40*5= 
 40*5 = 200
200 m in 40 seconds.   Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side   answer is 40 sec
Answer: A
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $48. If $1500 is the total amount invested, how much is invested at 8 percent? Select the correct option:	A) a. $280	B) b. $566.67	C) c. $892	D) d. $1108	E) e. $1200

Solution: 2 equations with 2 unknowns   10x / 100 - 8y / 100 = 48   and   x + y = 1500   Solving these 2 equations, x = 933.33 and y = 566.67   Answer b. $566.67.
Answer: B
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jack and Jill will make a basket but Sandy will miss?  Choose one:  A) 1/8  B) 1/16  C) 1/48  D) 1/96  E) 1/168

Solution: The probability that Jack and Jill will make a basket but Sandy will miss is 1/6*1/7*7/8=1/48.   The answer is 1/48.
Answer: C
If 16x = 64^y, which of the following expresses x in terms of y?
Choose the correct option.
A) 4^(3y-2)  B) 4^(y-1)  C) 4^(2y-1)  D) 4^(2y-3)  E) 4^y

Solution: By exponential simplification. 16 = 4^2 and 64=4^3 therefore (4^2)x=(4^3)^y gives x=(4^3y)/(4^2) further simplified to x=(4^3y)(4^-2) which gives x=4^(3y-2) Because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). 4^(3y-2)nswer: 4^(3y-2)
Answer: A
A jar has 6 green 4 red and 2 blue marbles what is the probability of drawing 2 marbles randomly and they will be of different colors	Select the correct option
A) 1/4 B) 1/2 C) 2/3 D) 7/9 E) 8/15

Solution: 1G and 1R   OR   1G and 1B   OR   1R and 1B   2/361∗2/341+2/361∗2/321+2/341∗2/3212/31222/316∗2/314+2/316∗2/312+2/314∗2/3122/3212   24+12+866=4466=2324+12+866=4466=23   Ans: "2/3"
Answer: C
If {p} denote the remainder when 3p is divided by 2 then which of the following is equal to 1 for all positive integers p?
I. {2p+1}
II. {2p}+1
III. 2{p+1}	Choose the correct choice from the following answers
A) I only B) II only C) I and II D) III only E) II and III

Solution: I and II - I and II   3p/2 = 0 or 1   I just substituted 1 in the equations and solved.
Answer: C
At a certain organisation, the number of male members went up by 12% in the year 2001 from year 2000, and the number of females members went down by 5% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?	Choose the correct choice from the following answers:
A) 1:2
B) 1:3
C) 2:3
D) 3:2
E) 4:7

Solution: men increase by 12% ==> 1.12M = males in 2001   women decrease by 5% ==> 0.95F = women in 2001   total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001   Obviously   (males in 2001) + (females in 2001) = total number of employees in 2001   1.12M + 0.95F = 1.012*(M + F)   1.12M + 0.95F = 1.012M + 1.012F   1.12M - 1.012M = 1.012F - 0.95F   0.108M = 0.062F   M/F = (0.062)/(0.108) = 62/108 = 4/7   Answer =(4:7)
Answer: E
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Select the correct option
A) 230 B) 240 C) 250 D) 260 E) 279

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.   230nswer: Option 230
Answer: A