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A train runs at a speed of 84 kmph to cover a distance of 336 km and then at a speed of 96 kmph to cover a distance of 192 km. Find the average speed of the train for the entire distance.
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Given that 870.27=x87^{0.27} = x, 870.15=y87^{0.15}= y and xz=y6x^z = y^6 , then the value of z is close to:

Study the given table and answer the question that follows.

The table shows the monthly expenditure (in ₹) of five people on education, rent, food, conveyance and electricity

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Find the difference between the average amount spent on education and the average amount spent on conveyance.

The price of fuel decreases by 60%, 30% and 20% in three successive months, but increases by 60% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?
A shopkeeper sells an item for ₹940.8 after giving two successive discounts of 84% and 44% on its marked price. Had he not given any discount, he would have earned a profit of 25%. What is the cost price (in ₹) of the item?
For a positive integer b > 1, if the product of two numbers 6344 and 42b8 is divisible by 12, then find the least value of b.

Simplify the following:

[(0.4)+(4.6)2+(2.3)2÷5]3.24[{(-0.4)+(4.6)^2+(2.3)^2}\div5]-3.24

A vendor claims to sell wheat at a loss of 25%. But he cheats by using weights that weigh 55% less than what is mentioned on them. What is his profit percentage (rounded off to 2 decimal places)?
A train runs at a speed of 111 kmph to cover a distance of 222 km and then at a speed of 86 kmph to cover a distance of 258 km. Find the average speed of the train for the entire distance.
Find the LCM of 1.05 and 2.1.
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In how many years will Rs.5000 grow to Rs.10000 at 12.5% Simple Interest?
Rs.12000 invested at 10% Simple Interest and another investment at 20% Simple Interest together give a 14% income on the total investment in one year. Find the total investment.
Four vessels of equal size are filled with mixtures of milk and water. The strength of milk in the four vessels is 80%, 75%, 60% and 50% respectively. If all four mixtures are mixed, what is the ratio of water to milk in the resultant mixture?
What will come in the place of '*'? 18/* = 2/7
If a, b, c and d are 4 whole numbers such that a + b + c = d where a, b, d are all odd numbers, then find c.
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Two students appeared for an examination. One of them got 9 marks more than the other. His marks was also equal to 56% of the sum of their marks. What are their marks?
In a party, one-fifth of the guests wanted cool drinks only. Out of the remaining, half of them liked coffee and two-thirds like tea. If 12 of the guests opted for both coffee and tea, how many guests had attended the party?
The Simple Interest on a sum of money for 2 years is Rs.50 and the Compound Interest on the same sum at the same rate for the same time is Rs.51.25. Find the rate of interest per annum
A എന്നത് ഒരു സ്കൂളിൽ ഹോക്കി കളിക്കുന്ന വിദ്യാർത്ഥികളാണ്. B എന്നത് ക്രിക്കറ്റ് കളിക്കുന്ന വിദ്യാർത്ഥികളുടെ ഗ്രൂപ്പ് ആണെങ്കിൽ , ഹോക്കി മാത്രം കളിക്കുന്ന വിദ്യാർത്ഥികളുടെ ഗ്രൂപ്പ് എത്രയാണ് ?
A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. A –B എത്ര ?
What is the gain per cent, while selling 33 m of cloth, if there is a gain equal to the selling price of 11 m?
An aeroplane is moving at a constant altitude 'h'. At 10:00 AM, it is seen at an elevation of 30°. 1 minute later, it is observed at an elevation of 60°. If the speed of the plane is 960 km/h, then find 'h'.
Find the total surface area of a hollow hemispherical bowl of diameter 14 cm and negligible thickness.
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°.
Ratio of speeds of two vehicles is 7 : 8. If the second vehicle covers 400 km in 5 hours, what is the speed of the first vehicle?
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?