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Simplify: 1/4 + 3/8 - 1/2 + 3/4 - 1/3
A train P starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m., while another train Q starts from Ghaziabad at 4 p.m. and reaches Meerut at 5:30 pm. At what time will the two trains cross each other?
Find the value of cos 120° cos 240° cos 180° cos 60°.
What is the area included between a circle and an inscribed square of side 'a' units?
P works twice as fast as Q. Q alone can complete some work in 12 days. Working together, how long will P and Q take to complete the work?
Find the LCM of 2/3 and 6/7.
A boat goes upstream at 36 km/h and downstream at 40 km/h. The distance covered in each trip being the same, find the speed of boat in still water.
An article is marked 20% above the cost price and sold at a discount of 20%. What is the net result of this sale?

If x=28x = 2^8 and xx=2yx^x = 2^y, then find the value of 'y'.

The length of a rectangle is halved, and its breadth is tripled. What is the percentage change in its area?
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If P and Q together can do a job in 15 days, Q and R together can do it in 12 days and P and R together can do the same in 20 days, then in how many days will the job be completed, if all the three work together?
A= {x: |2x+3|<7 , x ∈Z} എന്ന ഗണത്തിലെ അംഗങ്ങളുടെ എണ്ണം ?
A={1,2,3, {1}, {1,2}} എന്ന ഗണത്തിൽ തെറ്റായ പ്രസ്താവന ഏത്?
U= {1,2,3,4,5,6,7,8,9,10} A= {2,4,6,8} , B = {2,3,5,7} ആയാൽ AΔB =
n(A) = 4 , n(B)= 7 എങ്കിൽ n(A∪B) യുടെ ഏറ്റവും കുറഞ്ഞ വിലയും ഏറ്റവും കൂടിയ വിലയും എത്രയാണ് ?
തന്നിരിക്കുന്നവയിൽ ഏകാംഗ ഗണം ഏതാണ്?
n(A)= 10, n(B)= 6, n(C) =5, A,B,C എന്നിവക്ക് പൊതുവായ ഒരംഗം പോലും ഇല്ല എങ്കിൽ n(A∪B∪C)=
A,B എന്നിവ രണ്ടു ഗണങ്ങളാണെങ്കിൽ A'-B' =
'A' sells goods to 'B' at 25% profit for Rs.300. 'B' sells it to 'C' at 10% loss. In this sale, C's cost price is equal to what percent of A's cost price?
A certain distance is covered at a certain speed. If half the distance is covered in double the time, what is the ratio of the two speeds?
Three men entered into a business in partnership for 14 months, 8 months and 7 months. If the ratio of their profit is 5 : 7 : 8, what is the ratio of their investments?
The perimeter of a rectangle is twice the perimeter of a square of side 18 units. If the breadth of the rectangle is 45, what is its area?
What is the gain percent when articles bought at 6 pieces for Rs.5 are sold at 5 pieces for Rs.6?
Find (1 - cos² θ)(cot²θ + 1) - 1.
If 200 men can dig a canal working for 8 hours a day in 6 days, how long will it take to dig the canal, if 300 men work 6 hours per day?

If x + y = 11, then (1)x+(1)y(-1)^x + (-1)^y is equal to _____

(where x, y are whole numbers).

If 3/11 < x/3 < 7/11, which of the following values can 'x' take?
A and B together take 5 days to do work, B and C take 7 days to do the same, and A and C take 4 days to do it. Who among these will take the least time to do it alone?
A and B working separately can finish a work in 15 days and 20 days. respectively. If they work on alternate days. A starting first, and if the work goes on for 8 days, what part of the work will be left unfinished?
A and B undertake to do a piece of work for Rs. 330. A can do it in 11 days and B can do it in 22 days. With the help of C, they finish it in 6 days. How much should C be paid for his work?
A alone can complete the project in 10 days; B alone can complete it in 20 days while C alone can complete it in 30 days. They together earn Rs. 1,100 for the project. By how much do the total earnings of A and C exceed the earnings of B?
Raj alone can do a piece of work in 8 days. Raman alone can do it in 12 days. If the total wage for the work is Rs. 500. How much should Raj be paid if they work together for the entire duration of the work?
If 10 men and 12 women can earn Rs.12880 in 7 days, and 15 men and 6 women can earn Rs.17280 in 9 days, then in how many days will 8 men and 10 women earn Rs.15000?
A can make a divider in 20 days, while B can make it in 50 days. If they work together and get Rs.3500, then find the share of B in the amount.
A, B and C can do a work in 20, 30 and 60 days respectively. If total Rs, 3000 is given to them, then find their individual share.
Tripti can construct a divider alone in 4 days while Rajan can construct it alone in 3 days. If they construct it together and get a payment of Rs. 14000, then what is Tripti's share?
On a certain sum of money, the Simple Interest for 2 years is Rs.140 at 4% per annum. Find the difference between Compound Interest and Simple Interest on the same sum at same rate and same period.
Six typists can type a given data in 16 days. How many days will 4 typists take to do the same work?
A train passes a platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/h, what is the length of the platform?
Find the percentage of wastage material in converting a cylinder of base diameter 10 cm and height 20 cm into a cone of equal base, but double the height of the cylinder.
Arun wants to pay Rs.16000 cash for a colour television and Bala wants to purchase the same for Rs.17776, due after 2 years. If the rate of Simple Interest is 5% per annum, which of the deals is better for the shopkeeper?

Find the value of cot2θcos2θ\sqrt{cot^2\theta-cos^2\theta}.

A & B together do a work in 40 days. B & C together do in 25 days. A and B started working together, and A left work after 6 days & B left work after 8 days. After A left, C join the work & C completed the work in 40.5 days, C alone can complete the work in how many days?
X, Y and Z can complete a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?
The working efficiency of Ram, Shyam and Shiva is 4 : 2 : 1. Shiva alone can complete the work in 100 days. If Ram and Shyam work together for 16 days and leave, then find the number of days required by Shiva to complete the remaining work.
The working efficiency of Raja, Ram and Mohan is 6 : 3 : 2. Raja can complete the whole work in 10 days. Raja and Ram together work for the first two days and then Raja and Mohan work for next 4 days and the remaining work is completed by Mohan. Find the total time taken to complete the work.
A can do a piece of work in 16 days and the same work can be done by B in 24 days, If they work individually on alternate days (i.e., on the first day A does the work and on the second day A was on leave and B done the second-day work and so on.) and A starts the work, then find the total days required to complete the work.
A and B can complete a task together in 35 days. If A works alone and completes 5/7 of the task and then leaves the rest for B to complete by herself, it will take a total of 90 days to complete the task. How many days would it take A, the more efficient among the duo, to complete the entire work by herself?
In a computer game, a builder can build a wall in 20 hours while a destroyer can completely demolish such a wall in 40 hours. In the beginning, both builder and destroyer were set to work together on a basic level. But after 30 hours the destroyer was withdrawn. What was the total time taken to build the wall?