MU-NLPC/Calc-aqua_rat huggingface dataset:
If x is an integer and y = 3x + 4, which of the following CANNOT be a divisor of y? Choose the correct answer.
A) 4  B) 6  C) 5  D) 7  E) 8

Solution: For any value of x, the expression 3x + 4 would never be divisible by 3,6,9...... onwards   So answer = 6 = 6
Answer: B
Find the least number of complete years in which a sum of money put out at 45% compound interest will be more than double of itself?
Pick one: A) 2 B) 3 C) 4 D) 5 E) 6

Solution: 2 years   2nswer: 2
Answer: A
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?	Choose the correct choice from the following choices.
A) 276 m  B) 287 m  C) 245 m  D) 276 m  E) 237 m

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer:245 m
Answer: C
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 72? Answers:
A) 24
B) 36
C) 12
D) 18
E) 16

Solution: The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.   The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.   72=2*3*3*2*2 is divisible by 12. therefore the greatest common divisor is 12   12
Answer: C
If TIER is written as 7183 and BRAIN is written as 23415, how is RENT coded ?	Choose the correct choice from the following options
A) 3653	B) 3657	C) 3857	D) 2790	E) 2711

Solution: Explanation:   Given :   Letter : T I E R B A N   Code : 7 1 8 3 2 4 5   Thus, the code for RENT is 3857.   ANSWER:3857
Answer: C
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 52 percent were employees. What percent were stockholders, who were not employees?	Choose the correct choice from the following options.
A) 52	B) 48	C) 54	D) 55	E) 56

Solution: I came up with the same answer choice B, but my approach was slightly different!   52% were employees which shall cover those who were only employees and those who were both shareholders and employees.   Thus, the number of attendants who were only shareholders is 100% - 52% = 48%.  100  - 52= 
  100  - 52 = 48
48%.
Answer: B
P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in --- days if all of them are working together. Choose the correct option.
A) 2 B) 3 3⁄7 C) 4 ¼ D) 5 E) 5 ¼

Solution: Explanation :   Work done by P in 1 day = 1/24   Work done by Q in 1 day = 1/6   Work done by R in 1 day = 1/12   Work done by P,Q and R in 1 day = 1/24 + 1/6 + 1/12 = 7/24   => Working together, they will complete the work in 24/7 days = 3 3⁄7 days   Answer : Option 3 3⁄7
Answer: B
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? Choose one
A) 900  B) 190  C) 277  D) 262  E) 223

Solution: Time taken by B run 1000 meters = (1000 * 10)/50= 
(1000 * 10)/50 = 200
200 sec.   Time taken by A= 200 - 10= 
200 - 10 = 190
190 sec.   Answer: 190
Answer: B
A train 290 m long passed a pole in 29 sec. How long will it take to pass a platform 650 m long?	Choose the correct choice from the following options:  A) 94 sec  B) 89 sec  C) 54 sec  D) 27 sec  E) 22 sec

Solution: Speed = 290/29= 
290/29 = 10
10 m/sec.   Required time= (290 + 650)/10= 
(290 + 650)/10 = 94
94 sec.   94 secnswer: 94 sec
Answer: A
Ms. Adams sold two properties, X and Y, for $30,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Choose the correct option:
A) Loss of $1,250 B) Loss of $2,500 C) Gain of $1,250 D) Gain of $2,500 E) Neither a net gain nor a net loss

Solution: Total %Loss = (Common Gain% or Loss%/10)^2   Hence Here Loss% = (20/10)^2 = 4%   which means he recovered only 96% of his investment which amount to a total revenue = 30000 + 30000= 
30000 + 30000 = 60_000
60000   i.e. 96% of cost= 60000   therefore, 4% of cost (Loss) = $2500   Answer: Option Loss of $2,500
Answer: B
If 100,000 microns = 1 decimeter, and 10,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?	Choose the correct answer.
A) 1.0e-05  B) 0.0001  C) 0.001  D) 10,000  E) 100,000

Solution: Given that 100,000 microns = 1 decimeter =10,000,000,000 angstroms   So, 1 micron = 10,000,000,000/100,000   =100,000   Answer : 100,000
Answer: E
A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 1.5 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)  Choose the most appropriate option:
A) 2,400,000 B) 2,800,000 C) 55,000 D) 28,000 E) 280

Solution: Let the volume be 1 m^3 = 1m * 1m * 1m = 100cm * 100cm * 100cm = 1,000,000 cm^3   By volume   40% is X = 400,000 cm^3   60% is Y = 600,000 cm^3   By weight,   In 1 cm^3, X is 1.5 gms   In 400,000 cm^3 , X = 1.5 * 400,000 = 600,000 grams   In 1 cm^3, Y is 3 gms   In 600,000 cm^3, Y = 3 * 600,000 = 1,800,000 gms   Total gms in 1 m^3 = 600,000 + 1,800,000 = 2,400,000   2,400,000NSWER:2,400,000
Answer: A
I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose? Choose the correct choice from the following answers.
A) 200 B) 600 C) 300 D) 800 E) 1000

Solution: Let x be the number I chose, then   x/5−154=6   x/5=160   x=800   correct answer 800
Answer: D
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Answers
A) 6:7 B) 6:9 C) 6:5 D) 6:1 E) 6:2

Solution: 4:5   3:2   -------   12:15:10   12:10   6:5   Answer:6:5
Answer: C
Find the principal if at 9% per annum simple interest, after 3 years the interest amounts to Rs. 2336 less than the principal?  Choose the correct answer:
A) 1200
B) 3450
C) 3200
D) 3500
E) 3300

Solution: P - 2336 = (P*9*3)/100   P = 3200   Answer: 3200
Answer: C
The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 2years ago?  Choose the most appropriate option
A) 152460
B) 214560
C) 160000
D) 210000
E) 200000

Solution: population 2 years ago = 176400/(1 + 5/100)^2   = 176400* 20/21 * 20/21= 
176400* 20/21 * 20/21 = 160_000
160000   Answer is 160000
Answer: C
A basket contains 3 blue, 5 black and 3 red balls. If 3 balls are drawn at random what is the probability that all are black?
Choose the correct choice from the following answers.
A) 2/33	B) 3/33	C) 33/2	D) 8/33	E) 9/33

Solution: I suppose case is without replacement.   Probability for first to be black = 5/11   Probability for second to be black =4/10   Probability for third to be black = 3/9   Hence   Probability for all to be black = 5/11×4/10×3/9   = 2/33   2/33nswer is 2/33
Answer: A
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?	Pick:
A) 7 sec  B) 6 sec  C) 8 sec  D) 4 sec  E) 2 sec

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 110 * 3/55= 
110 * 3/55 = 6
6 sec.   Answer:6 sec
Answer: B
X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?	Select:	A) Rs 100	B) Rs 110	C) Rs 120	D) Rs 130	E) Rs 140

Solution: (X+Y+Z)'s one day work=1/5 and (X+Y)'s one day work=1/15+1/10..   Z's one day work=1/30. ratio of one day work=1/15:1/10:1/30=2:3:1   therefore z will be paid=1/6*720= 
1/6*720 = 120
Rs 120.   ANSWER:Rs 120
Answer: C
Mary's income is 60% more Than Tim's income and Tim's income is 30% less than Juan's income.What % of Juan's income is Mary's income.
Answers.
A) 112% B) B.100% C) 96% D) 80% E) 64%

Solution: Even I got 96%   J = 100   T = 100*0.7= 
100*0.7 = 70
70   M= 70*1.6= 
70*1.6 = 112
112   If Mary's income is x percent of J   M= J*x/100   x = M*100/J = 112*100/100= 
112*100/100 = 112
112   112%ns:112%
Answer: A
A boatman can row 3 km against the stream in 20 minutes and return in 15 minutes. Find the rate of current ?  Choose the correct choice:
A) 7/2 kmph	B) 8/2 kmph	C) 5/2 kmph	D) 1.5 kmph	E) 2/2 kmph

Solution: Explanation:   Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr.   Speed in downstream = 3 x 60/15 = 12 km/hr   Rate of current = (12-9)/2= 
(12-9)/2 = 3/2 = around 1.5
1.5 km/hr.   Answer: 1.5 kmph
Answer: D
A fair sided dice labeled 1 to 6 is tossed two times. What is the probability of the dice obtaining the same value? Choose the most appropriate option
A) 1/36
B) 6/36
C) 1/2
D) 7/216
E) 11/216

Solution: The total possible number of combination if the dice is thrown 2 times is 36.   There are 6 possible outcomes that the number shown on the dice is the same.   The number are: (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)   Answer: 6/36
Answer: B
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 7000. What was Simran's share in the profit?	Choices:
A) Rs. 6423  B) Rs. 3000  C) Rs. 2,500  D) Rs. 4,000  E) None of these

Solution: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4   Simran's share = 7000 * 3/7 = Rs. 3000   ANSWER:Rs. 3000
Answer: B
A 5-digit number is formed by the digits 2,4,5,6,8 (each digit used exactly once) . What is the probability that the number formed is divisible by 4 ? Answers:
A) 2/5
B) 3/5
C) 4/5
D) 6/5
E) 7/5

Solution: a no. is divisible by 4 if last two digit is divisible by 4   so numbers ending with 24,28,48,52,56,64,68,84 are divisible by 4   last two places are fixed by 24,28,48,52,56,64,68,84   so remaining 3 places can be filled in 3! ways for each   total=8*3!=48=n(E)   n(S)=5C4=120   p=48/120=2/5   2/5NSWER:2/5
Answer: A
Of 45 applicants for a job, 21 had at least 4 years' experience, 27 had degrees, and 5 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?	Choices
A) 6
B) 8
C) 4
D) 3
E) 2

Solution: 45 - 5= 
45 - 5 = 40
40   40 - 21 - 27= -8   Then 8 are in the intersection between 4 years experience and degree.   Answer : 8
Answer: B
A car rental company charges for mileage as follows: 6 dollars per mile for the first n miles and 7 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Pick one:	A) 7d-n	B) 6*7d-n	C) 11d-n	D) 13d-n	E) 15d-n

Solution: Total Distance in miles = d   Millage Charge = 6n + (d-n) 7   6n --> For the first n Miles   (d-n)7--> Total no of miles after traveling the first n miles is d-n and the rate after n miles is 7 .   If we solve the equation , We will get 7d-n   7d-nnswer : 7d-n
Answer: A
If Z is a positive integer, which of the following must be odd?	Select:
A) x+1
B) Z^2+Z
C) Z^2+Z+1
D) x^2−1
E) 3x^2−3

Solution: A. Z+1 = can be odd or even. Since O + O =E or E + O = O   B. Z^2 + Z = Z(Z+1). Since from the above derivation we already know the term Z+1 can be Odd or Even, directly substitute here. Z(ODD) = Even (When Z is Even) or Z(EVEN) = EVEN [When Z is ODD]   C. Here's the answer. Since we know the term Z^2 + Z can always take a EVEN number, EVEN + 1 = ODD   Hence Z^2+Z+1.
Answer: C
If x*y = xy + 2(x + y) for all integers x and y, then 2* (–3) =  Choices:
A) –16
B) –11
C) –8
D) 4
E) 16

Solution: 2*(-3) = 2*(-3) + 2 (2 + (-3) ) = -6 -2 = -8   Option (–8)
Answer: C
A thief is spotted by a policeman from a distance of 225 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken? Choose one
A) 350m	B) 200m	C) 400m	D) 900m	E) None of them

Solution: Relative speed of the policeman = (10-8) km/hr =2 km/hr.   Time taken by police man to cover   (225m/1000) x 1/2 hr = 9/80 hr.   In 9/80 hrs, the thief covers a distance of 8 x 9/80 km = 9/10 km = 900 m   Answer is 900m.
Answer: D
If x#y is defined to equal x^2/y for all x and y, then (-1#3)#3 =
Pick one:
A) 4/3  B) 1/3  C) 1/27  D) -1/12  E) -4/3

Solution: (-1)^2 / 3 = 1/3   (1/3)^2 / 3 = 1/27   so 1/27 is my answer
Answer: C
If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?	Choose the correct choice from the following options: A) 8. B) 2 C) 6 D) 4 E) 10

Solution: let the radius be r and the the height be h.   New radius = 2r and height = 2h.   Area (new) : Area(old) = pi∗(2r)^2∗2h/pi∗r^2∗h = 8:1.   Hence the answer is 8..
Answer: A
Three coworkers P , E , R meet for Dinner. P had 5 sandwiches, E had 3 and R had none. Both PE share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PE, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
Choose the correct choice from the following answers: A) a) 5$ B) b) 3 $ C) c) 7 $ D) d) 4 $ E) e) 5.5 $

Solution: we got total 8 sandwiches ....we are dividing equally in 3 people.   per person: 8/3   initially   p:8   E:3   r:0   now since r ate 8/3 so he is paying 8 dollars for 8/3 sandwiches.   now p also ate 8/3 of his 5 sandwiches = so he gave 5-8/3 to r ==>7/3 to r   ok we have 8 dollars for 8/3 sandwich   therefore for 7/3 sandwich we will get 7 dollars.   hence p should get 7 dollars.   hence c) 7 $
Answer: C
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Pick one: A) 30% B) 40% C) 50percent D) 60% E) 70%

Solution: Let original length = x and original breadth = y.   Original area = xy.   New length = x .   2   New breadth = 3y.   New area = x x 3y = 3 xy.   2 2   Increase % = 1 xy x 1 x 100 % = 50%.   2 xy   50percent
Answer: C
Q:Robert purchased $3500 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?	Select:	A) 20	B) 27	C) 50	D) 70	E) 80

Solution: I started off with looking at the answer choices... 20-27-50 are in a tight range, so my guess was to look and rule out the bigger numbers.   The total amount is $3500. So with 80 bonds, each $50 = $4000 , we already exceed the $3500 limit. Hence 80 is the answer.
Answer: E
24 men working 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is	Options.
A) 30	B) 36	C) 34	D) 32	E) None of these

Solution: m1 × d1 × t1 × w2 = m2 × d2 × t2 × w1   24 × 10 × 8 × 1 = m2 × 6 × 10 × 1   ⇒ m2 = 24×10×8/6×10= 32 men   Answer 32
Answer: D
A polygon has 104 diagonals. How many sides does it have?
Self made
Pick:
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: The best way to solve this problem is to use the formula: An n sided polygon can have n*(n - 3)/2 diagonals   n*(n - 3)/2 = 104   n*(n - 3) = 208   Substitute n from the answer choices. n = 16   Answer: 16
Answer: E
2525 * 9 Answers.
A) 22725  B) 25675  C) 22655  D) 27575  E) None of these

Solution: Explanation:   2525 * (10 - 1)   = 25250 - 2525= 
25250 - 2525 = 22_725
22725   Option 22725
Answer: A
Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer. Choose the correct option:  A) 6  B) 9  C) 10  D) 12  E) 15

Solution: One option is to set up the equations and solve:   If the ratio of two integers x and y is 1 to 3, then 3x=y, where x is the smaller integer.   If adding 10 to the smaller integer makes the ratio 2 to 1, then x+10=2y.   Substituting y=3x into the second equation yields x+10=6x.   So, x=2 (smaller integer) and, y=3x=6 (larger integer) so A is the correct answer.   Another option is to TEST the answer choices.   A) the larger number is 6   Given: the two integers are in the ratio of 1 to 3   So, the smaller number must be 2   If 10 is added to the smaller number, the ratio becomes 2 to 1   If we add 10 to the smaller number (2), we get 12.   So, the new ratio is 12 to 6 which is the same as 2 to 1.   Therefore choice A is correct.   B) the larger number is 9   Given: the two integers are in the ratio of 1 to 3   So, the smaller number must be 3   If 10 is added to the smaller number, the ratio becomes 2 to 1   If we add 10 to the smaller number (3), we get 13   So, the new ratio is 13 to 9.   No good. We want a resulting ratio of 2 to 1   ELIMINATE B   C) the larger number is 10   Given: the two integers are in the ratio of 1 to 3   So, the smaller number must be 3.33 (which is not an integer)   Since both numbers are integers, the larger number cannot be 10.   ELIMINATE C   D) the larger number is 12   Given: the two integers are in the ratio of 1 to 3   So, the smaller number must be 4   If 10 is added to the smaller number, the ratio becomes 2 to 1   If we add 10 to the smaller number (4), we get 14   So, the new ratio is 14 to 12 which is 7 to 6.   No good. We want a resulting ratio of 2 to 1   ELIMINATE D   E) the larger number is 15   Given: the two integers are in the ratio of 1 to 3   So, the smaller number must be 5   If 10 is added to the smaller number, the ratio becomes 2 to 1   If we add 10 to the smaller number (5), we get 15   So, the new ratio is 15 to 15. This is the same as the ratio of 1 to 1   ELIMIN6TE E   Therefore 6 is the only correct choice.
Answer: A
7^6n -1^ 6n When n is an integer > 0 is divisible by	Options:
A) 112	B) 127	C) 134	D) 154	E) 156

Solution: 127   127
Answer: B
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choose the correct choice from the following answers:
A) 2:3  B) 3:2  C) 1:3  D) 4:3  E) 3:4

Solution: 5% of A + 4% of B = 2/3 (6% of A + 8% of B)   5/100*A + 4/100*B = 2/3(6A/100 + 8B/100)   ==> A/20 + B/25 = A/25 + 4B/75   ==> (1/20 - 1/25)A = (4/75 - 1/25)B   ==> A/100 = B/75   ==> A/B = 100/75 = 4/3   Required ratio = 4 : 3   Answer 4:3) 4:3
Answer: D
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,000?	Choose the correct choice from the following answers.
A) 13	B) 10	C) 9	D) 7	E) 6

Solution: To maximize the length of z, we should minimize its prime base. The smallest prime is 2 and since 2^9 = 512 <1,000, then the greatest possible length of integer z is 9.   The answer is 9.
Answer: C
Mona and Sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?  Choose the most appropriate option:
A) 120
B) 80
C) 60
D) 136
E) 150

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of monA , length of the track / speed of sona}   = LCM { 400/ (18 * 5/18) , 400/ (36 * 5 /18) }   = LCM (80, 40) = 80 sec.   Answer: 80
Answer: B
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of five rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?  Choose the correct choice from the following options:
A) 11 min B) 12 min C) 10 min D) 15 min E) 16 min

Solution: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.   Relative speed of A and B = 5 - 1= 
5 - 1 = 4
4 rounds per hour.   Time taken to complete one round at this speed= 1/4 hr = 15 min.   15 min
Answer: D
If -4 < x < 7 and -7 < y < 3, which of the following specifies all the possible values of xy? Choose the correct choice from the following options: A) -42 < xy < 21 B) -49 < xy < 24 C) -28 < xy < 18 D) -24 < xy < 21 E) -24 < xy < 24

Solution: The least value of xy is a bit more than 7*(-7)=-49 and the largest value of xy is a bit less than (-4)*(-6)= 
(-4)*(-6) = 24
24.   Therefore -49 < xy < 24.   Answer: -49 < xy < 24.
Answer: B
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year? Select the correct option.
A) 5460
B) 3377
C) 2776
D) 2887
E) 2667

Solution: 5000 * 104/100 * 105/100= 
5000 * 104/100 * 105/100 = 5_460
> 5460   Answer: 2776
Answer: C
If n is a natural number, then (6n^2 + 6n) is always divisible by?  Choose the most appropriate option: A) 6 only B) Both 6 and 12 C) 12 only D) 6 or 12 E) None

Solution: 6n^2 + 6n = 6n(n + 1)   n(n + 1) is always even when n is a natural number   Hence 6n^2 + 6n is always divisible by 6 and 12   Both 6 and 12)
Answer: B
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
Choose the correct option:
A) 2 B) 8 C) 9 D) 11 E) 2

Solution: Explanation:   Total hours worked = 8 x 3 + 6 x 2 = 36   Total earned = 396. Hourly wage = 396 / 36= 
396 / 36 = 11
11   Answer: 11
Answer: D
If population of certain city increases at the rate of 5%. If population in 1981 was 15000, then population in 1980 was?  Answers
A) 142856
B) 130000
C) 261000
D) 627000
E) 12690

Solution: Explanation:   X * (105/100) = 15000   X = 15000/1.05   X = 14285.71=142856   142856nswer: Option 142856
Answer: A
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Pick one:
A) 3.34 sq m	B) 2.98 sq m	C) 9.98 sq m	D) 1.98 sq m	E) 3.78 sq m

Solution: 3.34 sq mrea of the path = 3.34 sq mrea of the outer circle - 3.34 sq mrea of the inner circle   = ∏{4/2 + 25/100}2 - ∏[4/2]2   = ∏[2.252 - 22]   = ∏(0.25)(4.25) { (a2 - b2   = (a - b)(a + b) }   = (3.14)(1/4)(17/4) = 53.38/16   = 3.34 sq m   3.34 sq mnswer: 3.34 sq m
Answer: A
Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320  Choose the most appropriate option:
A) 910
B) 980
C) 1012
D) 1045
E) None of these

Solution: Explanation:   35% of 1500 + X = 45% of 4200 – 320   (35/100 * 1500) + X = (45/100 * 4200) – 320   525 + X = 1890 – 320   X = 1890 – 320 – 525   X = 1890 – 845   X = 1045   ANSWER: 1045
Answer: D
A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then A, B and C together can do the work in how many days?  Choose the correct choice:	A) 11 1/3 days	B) 13 1/3 days	C) 12 1/3 days	D) 15 1/3 days	E) 16 1/3 days

Solution: A’s one day’s work : B’s one days work = 150 : 100 = 3 : 2.   Let A’s & B’s one day’s work be 3X and 2X days respectively.   Then C’s one day’s work = 5X/2   = > 5X/2 = 1/40   = > X = ((1/40) x (2/5)) = 1/100   A’s one day’s work = 3/100   B’s one day’s work = 1/50   C’s one day’s work = 1/40   Thus, A, B and C can do the work in 13 1/3 days.   ANSWER:13 1/3 days
Answer: B
The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?  Choose one.
A) 8	B) 2	C) 5	D) Cannot be determined	E) None of these

Solution: Suppose the consecutive odd numbers are : x, x + 2, x + 4, x + 6 and x + 8   Therefore, the required difference = x + 8= 
+ 8 = 8
8   Note that answering the above question does not require the average of the five consecutive odd numbers.   8nswer 8
Answer: A
Robert can row a boat at 15 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 80 km downstream?
Choose the correct option.
A) 80/15 B) 80/17 C) 80/19 D) 80/21 E) 80/23

Solution: Speed downstream = 15+4= 
15+4 = 19
19 kmph.   Time required to cover 60 km downstream= d/s = 80/19 hours. Answer:80/19
Answer: C