MU-NLPC/Calc-aqua_rat huggingface dataset:
A fill pipe can fill 1/5 of tank in 25 minutes in how many minutes, it can fill 4/5 of the cistern?
Choose the correct choice
A) 48min  B) 80 min  C) 100 min  D) 50 min  E) 56 min

Solution: 1/5 of the cistern can fill in 25 min   4/5 of the tank can fill in = 25*5*4/5= 
25*5*4/5 = 100
100 min   Answer is 100 min
Answer: C
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number W of different possible seating arrangements for the group?  Choose the correct choice from the following options:
A) 5
B) 10
C) 24
D) 32
E) 120

Solution: 24ircular arrangements= (n-1)!   Hence (4!) = 24=W   Answer is 24
Answer: C
The sale price of an article including the sales tax is616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is : Choose the correct answer.
A) 500  B) 515  C) 550  D) 600  E) None of these

Solution: Sol.(a) Let the CP of the article be x   Then, SP = x × 1.12 × 1.1   Now, x × 1.12 × 1.1 = 616   => x = 616⁄1.232 = 500 500nswer 500
Answer: A
If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n? Answers
A) 15  B) 45  C) 75  D) 125  E) 150

Solution: (2^5) x (12^2) x (7^3) x (10) has two appearances of 3 (in 12^2) and one appearance of 5 (in the 10).   Thus n must include at least   3 * 5= 
  3 * 5 = 15
15   The answer is 15.
Answer: A
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?	Choose the correct choice from the following:	A) 2211	B) 3000	C) 2772	D) 1211	E) 1321

Solution: 4 --- 2000   5 --- ? => 3000   Answer: 3000
Answer: B
If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w? Choose the correct choice from the following:
A) 198
B) 288
C) 360
D) 396
E) 484

Solution: I will go with 360 (pending elements to match is 2^2*3^2*10^1 = 360
Answer: C
A certain type of concrete mixture is to be made of cement, sand and graved (gravel?) in a ratio 1:3:5 by weight. What is the greatest number of kilograms of this mixture that can be made with 5 kilograms of cement ?
Options.
A) 13 1/2	B) 15	C) 25	D) 40	E) 45

Solution: We're given a ratio of cement, sand and gravel as 1:3:5 by weight. This means that for every 1 kg of cement, we'll mix in 3 kg of sand and 5kg of gravel....   1+3+5= 
1+3+5 = 9
9 kg of concrete   We're asked for the greatest number of kilograms of this mixture that can be made with 5 kilograms of cement...   From the prior work, we know that 1 kg of cement will get us 9 km of concrete. Since we're dealing with 5kg of cement, we'll end up with (5)(9)= 45 kg of concrete.   Final Answer:45
Answer: E
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44 meters. How many times did the ball bounce? Select the correct option:
A) 5  B) 6  C) 7  D) 3  E) 9

Solution: Going down = 16 m   Going Up = 8 --> Total = 24   Going down = 8 --> Total = 32   Going Up = 4 --> Total = 36   Going down = 4 --> Total = 40   Going up = 2 --> Total = 42   Going down = 2 --> Total = 44 (Caught)   No of bounce = 3 ..   Answer : 3
Answer: D
The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass? Choose the correct option.
A) 73  B) 35  C) 83  D) 63  E) 83

Solution: Explanation:   7/20 * 100= 
7/20 * 100 = 35
35   Answer: Option 35
Answer: B
The ratio of cost price to the marked price of an article is 4 : 5. If the ratio of the
profit percentage on selling the article to the discount allow ed on it is 5 : 4, w hat is the
profit percentage? Answers.
A) 10%  B) 12%  C) 12.5%  D) 15%  E) 17%

Solution: CP:MP=4:5   so assume cp=400 and MP=500.   PROFIT%:DISCOUNT=5:4. so let 5x and 4x.   now from the problem   After giving discount on marked price still he has a profit too.   500 - (4x% of 500) = 400 + (5x% of 400)   500 - 2x = 400 + 2x   solving we get x=5/2   profit percentage = 5x = 5(5/2) = 12.5%   ANSWER:12.5%
Answer: C
A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum. Choices.
A) 4360  B) 4460  C) 4580  D) 4690  E) 5480

Solution: Let the sum be Rs.P.thenP(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)On dividing,we get (1+R/100)^3=10025/6690=3/2.Substituting this value in (i),we get:P*(3/2)=6690 or P=(6690*2/3)= 
(6690*2/3) = 4_460
4460Hence,the sum is rs.4460. Answer : 4460
Answer: B
Sahil purchased a machine at Rs 9000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.	Select the correct option:  A) Rs. 22500  B) Rs. 24500  C) Rs. 26500  D) Rs. 28500  E) None of these

Solution: Explanation:   Question seems a bit tricky, but it is very simple.   Just calculate all Cost price, then get 150% of CP.   C.P. = 9000 + 5000 + 1000= 
9000 + 5000 + 1000 = 15_000
15000   150% of 15000= 150/100 * 15000= 
150/100 * 15000 = 22_500
22500   Option Rs. 22500
Answer: A
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. 800 per sq. metre.
Choose the correct choice from the following options
A) Rs. 15,550	B) Rs. 15,600	C) Rs. 16,500	D) Rs. 17,600	E) Rs. 17,900

Solution: Area of the floor = (5.5 × 4) m2 = 22 m2.   Cost of paving = Rs. (800 × 22) = Rs. 17600.   Answer: Option Rs. 17,600
Answer: D
A is half good a work man as B and together they finish a job in 18 days. In how many days working alone B finish the job?	Choose the correct choice from the following options
A) 27 days  B) 21 days  C) 17 days  D) 18 days  E) 19 days

Solution: WC = 1:2   2x + x = 1/18 => x = 1/54   2x = 1/54 => 27 days   27 daysnswer:27 days
Answer: A
Find the average of the series : 312, 162, 132, 142 and 122? Choose the most appropriate option:
A) 174  B) 178  C) 119  D) 110  E) 171

Solution: 174verage = (312 + 162 + 132 + 142 + 122)/5   = 870/5= 
870/5 = 174
174   174nswer: 174
Answer: A
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.2.0 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?  Choose one: A) s.1014 B) s.1332 C) s.999 D) s.1085 E) s.1020

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 2.0= 
666 * 2.0 = 1_332
1332   ANSWER:s.1332
Answer: B
How many bricks are needed to build a pillar of dimension .5x.5x25 m , if the dimension of the brick is 8x5x22 cm and the 15% of the total volume of the pillar is filled with concrete and steel.
Options:	A) 3500	B) 4100	C) 4847	D) 5310	E) 5568

Solution: Volume of the pillar that needed to be filled with bricks=.5x.5x25x0.85=5.31   Volume of the brick=0.08x0.05x0.25=.001   No. of bicks needed to build the pillar=5.31/0.001= 
5.31/0.001 = 5_310
5310   Answer: 5310
Answer: D
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a odd. You pick a card from a full playing-card deck, and success would be picking a red color card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices
A) 5/8 B) 9/16 C) 1/8 D) 7/16 E) 3/8

Solution: 3/8vent(1): Probability of getting head in a flip of coin = 1/2   3/8vent(2): Probability of getting odd in a roll of dice = 3/6 = 1/2   3/8vent(3): Probability of getting red color in a pack of card = 26/52 = 1/2   Probability of winning is having exactly one successful event is:   P(success 1)* P(Fail 2)* P(Fail 3) + P(Fail 1)* P(Success 2)* P(Fail 3) + P(Fail 1)* P(Fail 2)* P(Success 3)   = 1/2*1/2*1/2 +1/2*1/2*1/2 +1/2*1/2*1/2   =1/8 + 1/8 +1/8   =3/8   Answer :3/8
Answer: E
Ross has 80 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.  Choose the most appropriate option
A) 12 ; 20.
B) 12 ; 19.
C) 12 ; 18.
D) 12 ; 17.
E) 12 ; 16.

Solution: Total shirts = 80   Green shirts = 3/4*80= 
3/4*80 = 60
60, Non green shirts= 20   Shirts without button = 1/10*80= 
1/10*80 = 8
8, shirts with button= 72   Required: Range of shirts with buttons that are not green.   Maximum non green shirts with buttons = number of non green shirts = 20   Minimum non green shirts with buttons (12 ; 20.ll without button shirts are non green) = Non green shirts - shirts without button = 20 - 8= 
20 - 8 = 12
12   Hence the range would be (12, 20)   Correct Option: 12 ; 20.
Answer: A
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
Choose the most appropriate option
A) 175.5
B) 182.5
C) 170.0
D) 180.0
E) 190.0

Solution: Tea worth Rs. 126   ratio 1 : 1   average price   = (126+135)/2= 
(126+135)/2 = 261/2 = around 130.5
130.5   Mean price= (x-153):22.50   =>x-153=22.50   x=175.5   175.5NSWER 175.5
Answer: A
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?  Choose the correct option.
A) 620 ways B) 299 ways C) 167 ways D) 765 ways E) 600 ways

Solution: The number of ways of selecting three men, two women and three children is:   = ⁴C₃ * ⁶C₂ * ⁵C₃   = (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)   = 4 * 15 * 10= 
4 * 15 * 10 = 600
600 ways.   Answer: 600 ways
Answer: E
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3267 in 3 years. Find the rate percent?	Options
A) 11 B) 10 C) 28 D) 24 E) 35

Solution: 35xplanation:   2420 --- 847   100 --- ? => 35%   Answer: Option 35
Answer: E
The letters of the word 'SURATI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
Choices: A) - 236 B) - 245 C) - 307 D) - 415 E) - 275

Solution: Total Number of Words = 6! = 720 [(number of characters)/(repeating group )!]   After S, we have T and U.   Number of words starting with T = 5! = 120   Number of words starting with U = 5! = 120   So any word starting with S will have rank < 720 - 120(for Us) - 120(for Ts) = 480   Only option A < 480, so Answer is - 415
Answer: D
On a scale that measures the intensity of a certain phenomenon, a reading of d+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?  Answers
A) 5 B) 50 C) 10^5 D) 5^10 E) 8^10 - 3^10

Solution: To solve this problem we need to examine the information in the first sentence. We are told that “a reading of d + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d.”   Let’s practice this idea with some real numbers. Let’s say d is 2. This means that d + 1 = 3. With the information we were given we can say that a reading of 3 is ten times as great as the intensity of a reading of 2.   Furthermore, we can say that a reading of 4 is actually 10 x 10 = 10^2 times as great as the intensity of a reading of 2.   Increasing one more unit, we can say that a reading of 5 is 10 x 10 x 10 = 10^3 times as great as the intensity of a reading of 2.   We have found a pattern, which can be applied to the problem presented in the stem:   3 is “one” unit away from 2, and thus a reading of 3 is 10^1 times as great as the intensity of a reading of 2.   4 is “two” units away from 2, and thus a reading of 4 is 10^2 times as great as the intensity of a reading of 2.   5 is “three” units away from 2, and thus a reading of 5 is 10^3 times as great as the intensity of a measure of 2.   We can use this pattern to easily answer the question. Here we are being asked for the number of times the intensity corresponding to a reading of 8 is as great as the intensity corresponding to a reading of 3. Because 8 is 5 units greater than 3, a reading of 8 is 10^5 times as great as the intensity corresponding to a reading of 3.   Answer 10^5.
Answer: C
Which of the following points is closest to line y=x Choose the correct answer
A) (2, -1) B) (2, 4) C) (-1, -2) D) (-2, 1) E) (-2, 0)

Solution: Attachment:   m12-20.pngAs you can see point (-1, -2) is the closest to line y=x.   Answer: (-1, -2).
Answer: C
The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Choices.
A) Rs.156.25
B) Rs.156.22
C) Rs.156.28
D) Rs.156.19
E) Rs.156.92

Solution: Explanation:   Present Worth   =   =   = Rs.156.25   Rs.156.25nswer: Rs.156.25
Answer: A
If 4XZ + YW = 6 and XW + YZ = 12, what is the value of the expression (2X + Y)(2Z + W)?	Choose the most appropriate option:
A) 9.	B) 30.	C) 15.	D) 16.	E) 18.

Solution: (2x+y)*(2z+w) = 6+2(12) =30   Answer : 30.
Answer: B
When x is divided by y, the quotient is q with remainder r. What is x in terms of r, y, and q?  Answers:
A) y + r + q
B) yq + r
C) x/y+r
D) y/q+r
E) rq + y

Solution: (x/y) = q + r   solve for x   x=(q*y)+r   Ans yq + r.
Answer: B
A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Choices:
A) 36
B) 50
C) 88
D) 59
E) 22

Solution: Speed of the train relative to man   = (150/10) m/sec = 15 m/sec. [15 * (18/5)] km/hr   = 54 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5   = 54 ==> x   = 59 km/hr.   Answer:59
Answer: D
The ratio of the present ages of Ramesh and mahesh is 2:5. 10 years hence, the ratio of their ages will be 10:15. Find the difference in their present ages? Choose the correct choice from the following answers:
A) 7.5	B) 6	C) 5.5	D) 6.5	E) 5

Solution: Let the present ages of Ramesh and Mahesh be 2x and 5x years respectively.   (2x + 10)/(5x + 10) = 10/15   6x + 30 = 10x + 20 => x = 2.5   Difference in their ages will be the same at all times.   This difference = Difference of their present ages   => 5x - 2x = 3x 5  - 2= 
5  - 2 = 3
3x=> 7.5 years   7.5nswer: 7.5
Answer: A
The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time Q will it take to fill the tank now?
Answers.
A) 50% less time
B) 50% more time
C) 75% less time
D) 75% more time
E) 100% more time

Solution: (VC)Volume of the cylinderical vessal is directly proportional to R^2.   So if radius is 50% less volume will be 1/4th of the original volume.(VC/4)   Now if with velocity V tank can be filled in T1 time of volume VC   So now Velocity is 50% less i..e V/2   So time taken to fill the capacity VC/4 by V/2 velocity is T2.   VT1 = VC   V/2*T2 = VC/4   So T1/T2 = 1/2   So Tank will be filled in less time. that is Q=50 % less.50% less time
Answer: A
2, 3, 6, 0, 10, -3, 14, (...) Choose the most appropriate option
A) 6  B) 2  C) -2  D) 0  E) -6

Solution: There are two series   2, 6, 10, 14, ... (Adding 4)   3, 0, -3, ... (Subtracting 3)   Hence, next term is -3 - 3 = -6   Answer is -6.
Answer: E
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?  Pick one
A) 714,240
B) 2,261,760
C) 2,400,000 cars
D) 3,690,240
E) 3,915,790

Solution: Let number of cars sold in 1st quarter = x   Number of cars sold in 2nd quarter = 24% greater than the number sold during the first quarter = (1 + 24/100)= 
(1 + 24/100) = 31/25 = around 1.24
1.24 x   1.24 x= 2,976,000   => x = 2,400,000   So, answer will be 2,400,000 cars
Answer: C
During a certain week, a seal ate 60% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat? Choices
A) 32  B) 40  C) 55  D) 64  E) 96

Solution: Total smelt = x.   Then, 0.6*80+0.3(x-80)=0.4*x --> x=240 --> 0.4*x=96.   Answer: 96.
Answer: E
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. Find the divisor?
Pick one: A) 370 B) 365 C) 380 D) 367 E) 460

Solution: Easy solution:   N= Dq1+241   2N = 2Dq1 + 482 - (1)   2N = Dq2 + 115 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 367   D * Some integer = 367   Checking all options only (D) syncs with it.   ANswer 367
Answer: D
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 13% per annum then the gain of B in a period of 3 years is?
Options.
A) 320	B) 300	C) 310	D) 315	E) 330

Solution: (3500*3*3)/100= 
(3500*3*3)/100 = 315
> 315   Answer: 315
Answer: D
How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr?
Choose the correct choice from the following answers.
A) 1 1/5min	B) 4 1/5min	C) 3 1/5min	D) 2 1/5min	E) None of these

Solution: Explanation :   We know that,Time=Distance/SpeedSpeed=20 km/hr=20 x 5/18m/sec=509m/secTime =(400 x 9/50) = 72sec=1 1/5min   1 1/5minnswer : 1 1/5min
Answer: A
If P represents the product of the first 13 positive integers, then P is not a
multiple of:  Choices: A) a) 99 B) b) 84 C) c) 72 D) d) 65 E) e) 95

Solution: a) 99 = 9*11   b) 84 = 4*7*3   c) 72 =9*11   d) 65 = 5*13   e) 95 =19*5   since 19 is not there in first 15 positive numbers it is the only possibility   e) 95
Answer: E
How many 8's are there preceded by 0 but not followed by 1?
5 0 8 1 2 7 4 2 6 9 7 4 6 1 3 0 8 7 4 1 0 8 3 2 5 6 7 4 3 9 5 8 2 0 8 2 7 4 6 3  Answers
A) 3
B) 5
C) 6
D) 8
E) 9

Solution: 0 8 2   0 8 7   0 8 3   Only at these places 3 is preceded by 0 but not followed by 1   3nswer: 3
Answer: A
Shawn is planning a bus trip across town that involves three buses. Bus 1 travels between Shawn’s house and downtown, and it leaves every half-hour starting at 7:20 AM. Shawn will need to be on bus 1 for 1.2 hours. Bus 2 travels between downtown and uptown every half-hour starting at 7:10 AM. Shawn will need to be on bus 2 for 2/3 hour. Lastly, bus 3 travels between uptown and Shawn’s destination every hour starting at 9 AM. Assuming all buses stay on schedule, what is the least amount of time Shawn must spend waiting for buses? Choose the correct choice from the following choices: A) 12 minutes B) 18 minutes C) 48 minutes D) 1 hour, 12 minutes E) 1 hour, 20 minutes

Solution: Here's my solution. My first approach was to brute force the objective function in this optimization problem, minimize time spent waiting between buses   Givens:   1.2 hour=1 hour,12 minutes   2 2/3 hour=2 hour,40 minutes   Once you start filling out a table, you realize that there's only 2 solutions to this problem, leaving at the 20 minute mark of any hour versus leaving at the 50 minute mark of any hour.   [Reveal]Spoiler:   Answer, 18 minutes
Answer: B
What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-99)*(25-100)?  Pick one.
A) 0	B) 1	C) 625	D) less than -100,000	E) more than 100,000

Solution: One of the terms is (25-25) so the product is 0.   The answer is 0.
Answer: A
A crate measures 4 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Options:
A) 2
B) 4
C) 6
D) 8
E) 12

Solution: To fit the cylinder with largest radius inside this cuboid , we should make the base of the crate as wide as possible   so we will take the base as 12 feet by 8 feet   Now since the limiting number in the base is 8 feet; therefore a cylinder {we can visualise that a cylinder's width is its diameter } can only fit inside the crate if it is 8 feet or less.   Therefore the radius of the cylinder will become 8iameter 2===>8/2= 
8/2 = 4
4 8iameter   ANSWER:8
Answer: D
A family has two children. find the probability that both the children are boys given that at least
one of them is a boy? Choose the correct choice from the following answers.
A) 1/3  B) 3/7  C) 3/11  D) 4/5  E) 5/11

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are boys’   F : ‘at least one of the child is a boy’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
Answer: A
Last year a worker saved 4% of her annual salary. This year, she made 10% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year? Choose the most appropriate option.
A) 137.5%  B) 142.5%  C) 147.5%  D) 152.5%  E) 157.5%

Solution: Let x be the worker's salary last year.   Last year, she saved 0.04x.   This year, she saved 0.05(1.1x)=0.055x   0.055x/0.04x=55/40=137.5%   The answer is 137.5%.
Answer: A
If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad.	Options.
A) 18	B) 16	C) 12	D) 99	E) 13

Solution: Explanation:   More number of days means – more length, more depth and more width. Hence, it’s a direct proportion.   (100*25*30):(75*20*50)::12:x   75000:75000::12:x   x = 12   ANSWER:12
Answer: C
It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Pick one:	A) 15 Minutes.	B) 17 Minutes.	C) 19 Minutes.	D) 15 Minutes.	E) 12 Minutes.

Solution: D   15 Minutes.   After frying for five minutes, you can take out one steak and put the third one inside while turning the other one inside. After five more minutes, one steak is fried from both sides and you can take it out. Now put in the steak that we removed and turn the other one inside. 15 Minutes.fter five more minutes, they both will also be fried from both sides.
Answer: A
If a, b, c, d, and e are positive integers, which of the following could not become a terminating decimal? Choose one
A) 33/2^(4b)	B) 34/5^(2c)	C) 35/100^e	D) 36/4^w	E) 37/3^(5v)

Solution: Knowledge of Decimal equivalent Fractions will work wonders here , no need to consider the Numerator part   1/ 2= 
1/ 2 = 1/2 = around 0.5
0.50 ( Terminating )   1/5= 
1/5 = 1/5 = around 0.2
0.20 ( Terminating )   1/100= 
1/100 = 1/100 = around 0.01
0.01 ( Terminating )   1/4= 
1/4 = 1/4 = around 0.25
0.25 ( Terminating )   1/3= 0.33 ( Non Terminating )   Check the above rule with any higher powers the result will be same.....   Among the given options only (37/3^(5v)) has a non terminating denominator , so this will be our answer..
Answer: E
a man have 4 goat,2 sheep and 3 buffalo.he have to take three cattle out one each.with two available door.in how many ways he can out three cattle?	Options
A) 72	B) 12	C) 36	D) 48	E) 24

Solution: from, fundamental principle of calculate   simple,4*2*3*2=48ways   answer 48
Answer: D
A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day? Choose the correct choice from the following answers:
A) 1/4
B) 1/6
C) 4/6
D) 1/2
E) 1/8

Solution: Given that B alone can complete the same work in half the time taken by A   = 9days   A’s one day work = 1/18   B’s one day work = 1/9   (A+B)’s one day work = 1/18+1/9 = 1/6. Answer is 1/6.
Answer: B