MU-NLPC/Calc-aqua_rat huggingface dataset:
If two sides of a triangle are 6 and 8, which of the following could be the area of triangle?
1. 35
2. 48
3. 56 Pick
A) a) 1 only  B) b) 1 and 2 only  C) c) 1 and 3 only  D) d) 2 and 3 only  E) e) 1, 2 and 3 only

Solution: when two sides of a triangle are known , the maximum area occurs when the angle between those two sides is 90.   lets say base = 12 , height =8 (angle = 90)   maximum area = (1/2)*12*8= 
(1/2)*12*8 = 48
48 ( this is the same maximum area even when base is 8 and height is 12).   if we fix the base and keep lowering the angle, it will result in a lower height . hence the resulting area will always be < 48.   C,D and E are ruled out.   1 are possible areas as their areas are less than 48.   Hence the answer is a) 1 only.
Answer: A
Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?	Choose the correct choice from the following.
A) 10.7
B) 10.9
C) 10.2
D) 10.88
E) 11.88

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 170 + 160= 
170 + 160 = 330
330 m.   Required time= 330 * 9/250= 
330 * 9/250 = 297/25 = around 11.88
11.88 sec.   Answer:11.88
Answer: E
Find the curved surface area, if the radius of a cone is 28 m and slant height is 30 m?
Options:
A) 2550	B) 2640	C) 3960	D) 4280	E) 5490

Solution: Cone curved surface area = Ï€rl   22/7 Ã— 28 Ã— 30 = 88 Ã— 30 = 2640 m(power2)   Answer is 2640.
Answer: B
It takes ten minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth? Choose the correct choice.
A) 13.42	B) 13.86	C) 14.25	D) 14.63	E) 14.88

Solution: The laptop can load the video at a rate of 1/15 of the video per second.   The phone can load the video at a rate of 1/(60*10) = 1/600 of the video per second.   The combined rate is 1/15 + 1/600 = 41/600 of the video per second.   The time required to load the video is 600/41 = 14.63 seconds.   The answer is 14.63.
Answer: D
Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse? Choose the correct answer:
A) 22 km/h	B) 88 km/h	C) 11 km/h	D) 20 km/h	E) 87 km/h

Solution: Explanation:   If the speed of the faster horse be \inline f_{s} and that of slower horse be \inline s_{s} then   \inline f_{s}+s_{s}=\frac{50}{1}=50   and \inline \frac{50}{s_{s}}-\frac{50}{f_{s}}=\frac{5}{6}   Now, you can go through options.   The speed of slower horse is 20km/h   Since, 20+30=50   and \inline \frac{50}{20}-\frac{50}{30}=\frac{5}{6}   Answer: 20 km/h) 20 km/h
Answer: D
A can finish a piece of work in 5 days. B can do it in 16 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choose the correct choice from the following:
A) 4 B) 5 C) 6 D) 7 E) 8

Solution: 2/4 + (2 + x)/16 = 1 => x = 6 days   Answer: 6
Answer: C
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/6 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
Choose the correct choice from the following
A) x + 2000 = 1/3*(x - 3000)	B) 1/3*(x - 3000) = x	C) x + 3000 = 1/3*x	D) x - 3000 = 1/6*x	E) x - 3000 = 1/3*x

Solution: Plane's original altitude = x   Plane's new altitude after ascending 2000 ft = x+2000   Plane's new altitude after descending 5000 ft from previous altitude = x+2000-5000 = x-3000   So, after two changes plane is at 1/6 its original altitude => x-3000 = x/6   Answer (x - 3000 = 1/6*x)
Answer: D
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. b-c is positive integer
II. abc is an even integer
III. (a+b+c)/3 is an integer  Select the correct option:  A) I  B) II  C) I and II  D) II and III  E) I, II and III

Solution: 1. b-c is negative because c is greater than b   2. abc   a can be either even or odd   if a=even; abc=even;   if a=odd,b=even; abc=even   Rule:   multiple of any number of integers if atleast once multiplied by an even number will result in even.   even*even=even   even*odd=even   Correct   3. (a+b+c) /3 is an integer   Again;   a=a   b=a+1   c=a+2   a+b+c=(a+a+1+a+2)=3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   Ans :II and III( + +1+ +2)= 
( + +1+ +2) = 3
3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   Ans :II and III
Answer: D
In how many ways can A, B, C, D and E be seated in a row such that A and C are not seated next to each other?  Choose the correct option.
A) 24
B) 48
C) 56
D) 72
E) 96

Solution: When the constraint on an arrangement says,Two people should not be seated together,we do just the opposite. We make them sit together! Kind of tie them with a thread and assume they are one unit!   Let's see why....   These 5 people can be arranged in 5! ways. These are the total number of ways you get.   Now, when we tie 2 people together, we have only 4 entities to arrange. We can do this in 4! ways. But in each of these entities, the two people can sit in two different ways (Ac and BC). So number of ways in which these two people sit together is 4!*2!.   Now, the ways in which these two people will not be together will be 5!- 4!*2! = 4!(5 - 2) = 72   Answer :72
Answer: D
Bat is bought for Rs.400 and sold at a gain of 20% find its selling price? Answers.
A) Rs.320	B) Rs.350	C) Rs.370	D) Rs.480	E) None of these

Solution: Explanation :   100 % = 400 (100 * 4 = 400)120 % = 480 (120 * 4 = 480)Selling price = Rs.480/-   Answer : Rs.480
Answer: D
Ray writes a two digit number. He sees that the number exceeds 4 times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digits. Find the number. Answers.
A) 2 B) 5 C) 6 D) 7 E) 8

Solution: Solution: Let the two digit number be xy.   4(x + y) +3 = 10x + y .......(1)   10x + y + 18 = 10 y + x ....(2)   Solving 1st equation we get 2x - y = 1 .....(3)   Solving 2nd equation we get y - x = 2 .....(4)   Solving 3 and 4, we get x = 3 and y = 5   Answer:5
Answer: B
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long.The length of the train is	Choose the correct choice from the following options.
A) 70 m  B) 80 m  C) 90 m  D) 100m  E) 110m

Solution: Let L be the length of the train.   The train covers a distance of (162 + L) in 18 seconds. The rate is then (162 + L)/18.   The train also covers a distance of (120 + L) in 15 seconds. The rate is then (120 + L)/15.   Presumably, the train is traveling at a constant rate. Therefore, set the two rates equal to each other and solve for L.   (162 + L)/18 = (120 + L)/15   i.e. 90   ANSWER:90 m
Answer: C
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.  Choose the correct choice from the following:
A) 1200 B) 1400 C) 2660 D) 1600 E) 1800

Solution: A is a working member and for that, he receive 5% of the profit   = 5% of 7400 = 5*7400/100= 
5*7400/100 = 370
370   Remaining amount= 7400-370= 
7400-370 = 7_030
7030   Ratio of their investments= 6500*6 : 8400*5 : 10000*3   = 65*6 : 84*5 : 100*3 = 13*6 : 84 : 20*3 = 13*2 : 28 : 20   = 13 : 14 : 10   Share of B in the profit = 7030 * (14/37) = 190*14= 
190*14 = 2_660
2660   Answer is 2660
Answer: C
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $17 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
Choose one: A) $22.50 B) $23.50 C) $24.50 D) $25.50 E) $26.50

Solution: Let x be the price that buyers see online.   The distributor wants to receive 1.2(original price) which should be 80% of x.   1.2(17) = 0.8x   x = 1.2(17) / 0.8 = 1.5(17) = $25.50   The answer is $25.50.
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?	Select the correct option.
A) 5%  B) 7%  C) 2%  D) 1%  E) 9%

Solution: 160 = (180*4*R)/100   R = 5%   5%nswer: 5%
Answer: A
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?  Select the correct option:	A) 2500 m^2	B) 2510 m^2	C) 2520 m^2	D) 2600 m^2	E) 2640 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
How many cubes of edge 2 dm can be cut out of a meter cube?
Pick one.
A) 366  B) 289  C) 276  D) 125  E) 298

Solution: 1 * 1* 1 = 2/10 * 2/10 * 2/10 * x   x = 125   Answer:125
Answer: D
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choose the correct option:
A) 7 kmph  B) 4 kmph  C) 4 kmph  D) 8 kmph  E) 5 kmph

Solution: Speed downstream = d/t = 85/(2 1/2) = 34 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph   Answer: 8 kmph
Answer: D
Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
Select the correct option:  A) 9/25  B) 9/50  C) 18/25  D) 20/25  E) 15/25

Solution: Solution:   S = {1, 2, 3, … , 49, 50}   E = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 7, 14, 21, 35, 42, 49}   n(S) = 50   n(E) = 18   P(E) = n(E)/n(S) = 18/50   = 9/25   9/25NSWER IS 9/25
Answer: A
Jacob's age 18 years hence will be thrice his age four years ago. Find Jacob's present age?  Choose the correct option.
A) 16  B) 20  C) 15  D) 11  E) 16

Solution: C   15   Let Jacob's present age be 'm' years.   m + 18 = 3(m - 4)   => 2m = 30 => m = 15 years.
Answer: C
Tough and Tricky questions: Exponents.
If 3^m3^m3^m = 6^n, then m/n =  Answers.
A) 1/3 B) 2/3 C) 1 D) 3/2 E) 3

Solution: I also soved it, but a bit differently. Thank you for reminding me of this much easier and logical way!   What I did was to test powers of 3 that would lead to 9.   So, we have 3 raised to the same power 3 times and 9 raised to another power one time: 3^m3^m3^m = 9^n   What I did was test 3 raised to the power of 2 like this:   3^2*3^2*3^2 = 9*9*9 = 9^3. This means that m=2 and n=3. So, m/n=3.3
Answer: E
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 6400 a year. What is his average monthly income? Options:  A) 2000  B) 2010  C) 2100  D) 2200  E) 2300

Solution: Total expenditure for the first 3 months = 3 × 1600 = 4800   Total expenditure for 4 months = 4 × 1550 = 6200   Total expenditure for 5 months = 5 × 1800 = 9000   Total expenditure and saving (which is income for one year)   = 4800 + 6200 + 9000 + 6400 = Rs. 26400   So, Average monthly income = 26400/12 = Rs. 2200   2200
Answer: D
The ratio of two numbers is 5:6. If a number is added to both the numbers the ratio becomes 7:8. If the larger number exceeds the smaller number by 10. Find the number added.  Choose the correct choice from the following answers:
A) 30
B) 10
C) 20
D) 40
E) Cannot be determined

Solution: let the numbers are 5x and 6x. Let the number added is y so 5x+y/6x+y = 7/8   and 6x-5x = 10 implies x = 10   taking x=10, 50+y/60+y = 7/8 implies 400+8y = 420+7y or y = 20   ANSWER:20
Answer: C
If the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is?
Answers.
A) 11	B) 14	C) 16	D) 12	E) 19

Solution: 2 * 22/7 * 12 * x = 1240=> x = 16   Answer: 16
Answer: C
Jane covered a distance of 350 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?  Pick one:
A) 3 hours 30 minutes  B) 3 hours  C) 2 hours  D) 1 hour 45 minutes  E) None of these

Solution: Answer   Let Jane travel 'x' at 60 miles per hour.   As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.   Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.   Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.   Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.   Therefore, total distance = 60x + 400 - 80x.   Total distance travelled = 340 miles.   Therefore, 350 = 60x + 400 - 80x   20x = 70 or x = 3 hours 30 minutes.   Choice 3 hours 30 minutes
Answer: A
Sachin is younger than Robert by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Select
A) 24.5 B) 32 C) 25 D) 28 E) 30

Solution: Let Robert's age be x years   Then sachin's age = x-7 years   (x-7)/x = 7/9   x = 31.5   Sachin's age = x-7 = 24.5 years   24.5nswer is 24.5
Answer: A
ICICI bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?	Choose the correct choice from the following answers:
A) 1:5
B) 625:3125
C) 100:105
D) 100^4:105^4
E) 725:3225

Solution: Hi Bunuel,   Here is my approach: is this correct?   ICICI bank offers an interest of 5% per annum compounded annually on all its deposits.   Interest earned in 4 year= 10000(1+0.05)^4   Interest earned in 5 year= 10000(1+0.05)^5   Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105   Hence Ans:100:105
Answer: C
The profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choose the correct choice from the following choices
A) 960	B) 975	C) 1,200	D) 920	E) None of these

Solution: Let the profit or loss be x   and 852 – x = 448 + x or, x = 404⁄2 = 202   \ Cost price of the article = 852 – x = 448 + x = 650   \ SP of the article = 650 × 150⁄100 = 975   Answer 975
Answer: B
16 grams of radioactive material decays into 8 grams in 10 years. How long will it take to decay to 1 gram?
Choose the correct choice from the following.
A) 30 years	B) 42 years	C) 45 years	D) 40 years	E) 50 years

Solution: This radioactive material has half life after 10 years.   16 grams decays into 8 grams in 10 years.   Then 8 grams decays into 4 grams in next 10 years.   Then 4 grams decays into 2 grams in next 10 years.   Then 2 grams decays into 1 gram in next 10 years.   Thus 16 grams decays into 1 gram in 40 years.   ANSWER:40 years
Answer: D
A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
Choose the correct choice from the following answers:	A) 10 seconds	B) 12 seconds	C) 14 seconds	D) 16 seconds	E) 18 seconds

Solution: Explanation:   As we need to get answer in seconds, so never forget to convert speed into meter per second.   Speed = 30 km/hr = 30* 5/18 m/sec   = 25/3 m/sec   Distance = length of train = 100 meter   Required time =   Distance/Speed=100 /25/3   =100∗3/25=12sec   Option 12 seconds
Answer: B
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choose one.
A) 9 3/7 days  B) 9 7/8 days  C) 9 3/8 days  D) 4 3/8 days  E) 9 6/8 days

Solution: 1/15 + 1/25 = 8/75   75/8 = 9 3/8 days   Answer: 9 3/8 days
Answer: C
Two distinct numbers a and b are chosen randomly from the set of first 20 positive integers. What is the probability that |a–b| would not be divisible by 3?	Options.
A) 49/380 B) 21/95 C) 49/190 D) 42/95 E) 133/190

Solution: Any number could be written in the form of one among the following:   (i) 3k   (ii) 3k + 1   (iii) 3k + 2   Only if the 2 numbers are of different types would |a – b| not be divisible by 3:   Numbers of type 3k --> 3, 6, 9, ......... 18 --> Total 6 numbers   Numbers of type 3k + 1 --> 1, 4, 7, .... 19 --> Total 7 numbers   Numbers of type 3k + 2 --> 2, 5, 8, 11 ...20 -->Total 7 numbers   Total possible outcomes = 20 * 19= 
20 * 19 = 380
380   Favorable Cases:   1) Picking from Type 1 and Type 2: 2 * (6 * 7)= 84   2) Picking from Type 1 and Type 3: 2 * (6 * 7) = 84   3) Picking from Type 2 and Type 3: 2 * (7 * 7) = 98   Hence, the required probability = (84 + 84 + 98) / 380, and 133/190 is the correct answer.
Answer: E
Charan can do a piece o work in 24 days, which Hari alone can finish in 19 days. Both together work for 7 days and then Hari leaves off. How many days will Caran take to finish remaining work?  Choose the correct choice from the following:	A) 22days	B) 22 ½ days	C) 21 ½ days	D) 20days	E) 15 days

Solution: Explanation:   Caran and Hari 7 days work = 7(1/24+1/19) = 43/456   Remaining work = (1- 43/456) =413/456   Charan 1 days work = 1/24   413/456 work will be done by Caran in 24* 413/456 = 22 days (approx)   22daysnswer: Option 22days
Answer: A
If 10 men and 2 boys working together, can do nine times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?  Choices
A) 7:5  B) 7:3  C) 7:8  D) 7:1  E) 7:2

Solution: 10M + 2B = 9(1M + 1B)   10M + 2B = 9M + 9B   1M = 7B   The required ratio of work done by a man and a boy = 7:1   Answer:7:1
Answer: D
Mira’s expenditure and sayings are in the ratio 3: 2. Her income increases by 10 percent. Her expenditure also increases by 12 percent. By how much per cent does her saving increase?
Pick one
A) 7%	B) 10%	C) 9%	D) 13%	E) 15%

Solution: We get two values of x ,7 and 13.   But to get a viable answer we must keep in mind that the central value(10)must lie between x and 12.   Thus the value of x should be 7 and not 13   Thus, Required %increase = 7%   7%NSWER:7%
Answer: A
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,700 at the end of nine years, how much money did he borrow?	Select.
A) 10,315	B) 12,315	C) 14,000	D) 16,000	E) 16,315

Solution: Let the sum borrowed be x. Then,   (x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11700   ⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11700   ⇒ x = (11700×100/95)= 12315   Hence, sum borrowed = 12,315   Answer 12,315
Answer: B
A will was written such that an estate would be divided among four beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $40,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the four beneficiaries?	Pick:  A) $12436  B) $13344  C) $71234  D) $15736  E) $19403

Solution: 1st - 40,000.   2nd - 0.8*40,000 = 32,000   3rd - 0.8*32,000 = 25,600   4th - 0.8*25,600 = ~20,480   Range = 40,000 - 20,480 = 19520   Answer: $19403.
Answer: E
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choose the correct option
A) Rs. 6000	B) Rs. 7000	C) Rs. 8800	D) Rs. 9000	E) Rs. 10000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)   = 66000 - S6000 = Rs. 10000   Rs. 10000
Answer: E
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?  Choose the correct choice from the following answers:
A) 3/19
B) 5/16
C) 3/11
D) 3/10
E) 3/14

Solution: Let Veena paid x,   so Akshitha paid x/5 , and Lasya paid 2x,   So total bill paid is given by   x+(x/5) +2x = 1, we get   i.e. x = 5/16   Answer: 5/16
Answer: B
A box contains three red marbles and 1 green marble. If the marbles are removed from the box one at a time, in random order, what is the probability that all three red marbles are removed before the green marble?  Pick.
A) 1/64
B) 1/24
C) 1/12
D) 1/4
E) 1/2

Solution: There are 3 red marbles and 4 marbles total, so the probability of drawing a red marble on the first draw is 3/4 . On the second draw there are 2 red marbles and three marbles total so the probability of drawing a red marble is 2/3. On the third draw, there is only one red marble and one green marble, so the probability of drawing the red marble is 1/2. The probability of all three events happening is the product of the probabilities,3/4∗2/3∗1/2 or1/4   Answer 1/4
Answer: D
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 70% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?  Choose the correct choice from the following options:  A) 7/12  B) 1/4  C) 1/2  D) 7/24  E) 17/24

Solution: In probability questions the trap answer is just the multiple of the numbers in the question.   i.e. if you multiply 1/3 * 1/4 * 1/2 = 1/24 is trap answer   The other trap answer could be 2/3 * 3/4 * 1/2 = 6/24 is trap answer   So lets say you have30 secsand you want to guess the answer then B, C are ruled out because they can be traps. You best guess is A, D, E. So you have 33% chances of being correct.   17/24
Answer: E
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 30 years older than Ayush who is 10 years old. At what age did the father get married ?  Select:  A) 30years  B) 31years  C) 32years  D) 33years  E) 34years

Solution: Explanation:   Ayush's present age = 10 years.   His mother's present age = (10 + 30)= 
(10 + 30) = 40
40 years.   Ayush's father's present age= (40 + 5)= 
(40 + 5) = 45
45 years.   Ayush's father's age at the time of Ayush's birth= (45 - 10)= 
(45 - 10) = 35
35 years.   Therefore Ayush's father's age at the time of marriage= (35 - 2)= 
(35 - 2) = 33
33 years.   Answer: 33years) 33 year
Answer: D
Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.2.50 a meter? Choose the correct choice from the following choices:
A) 188
B) 172
C) 278
D) 279
E) 222

Solution: 2 * 22/7 * 11 = 69   69 * 2 1/2   = Rs.172   Answer: 172
Answer: B
Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?  Select:
A) 200
B) 992
C) 772
D) 552
E) 312

Solution: 1/2:1/2:1/4 = 2:2:1   1/5*1000= 
1/5*1000 = 200
200   400-200= 
400-200 = 200
200   200nswer: 200
Answer: A