Students and Teachers Forum

1. A function f(x) is defined as follows:
f(x)= 2x+3 for x < 1
      = 3 for x = 1
      = 6x-1 for x > 1 
Is the function continuous at x = 1? If not how can you make continuus?

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2. In a town, 3/10 of the boys have ear-piercing but not tattoo. 60% of total boys have tattoo. If 20 have neither ear-piercing nor tattoo. Find the total number of boys with the help of Venn diagram.

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3. SI units are used for the scientific measurement. Why?

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4. Write the difference between mass and kilogram.

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5. If  n(U) = 90,  n(A) = 40 and n(B) = 80 then, n(AnB) = ?

We have, n(u) = n(A) + n(B) - n(AnB) or, 90 = 40 + 80 - n(AnB) or, n(AnB) = 30 is the required .....

6. In a survey of the groups of students, 65% about players and 430 studied about both scientists and players. If 8% did not study about scientist and players then, Represent the above information in a Venn-diagram. Total number of students who took part in the survey.

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7. In a community of 120 people the ratio of peoples who like to eat rice only, dhido and neither rice nor dhido is 1:3:2. Using a Venn diagram, find the number of people who don't like both of them.

Let, D and R denote the people who like rice and dhido respectively. By the question, n(U) = 120 no(R) : n(D) : n(R U D)' = 1 : 3 : 2 So, no(R) = x n(D) = 3x  n(R ∪ D)'  = 2x Now, n(U) = no(R) .....

8. In a group of 130 people, 62 like tea only and 56 like coffee only and each people likes at least one of the two drinks.
a) Draw Venn-diagram to illustrate the above information?
b) How many people like both driks?
c) How many people like tea?
d) How many people like coffee?

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9. A rectangular garden is 20 m by 50 m . A path of width 2m runs immediately inside its boundary. Find the area of the path.

Here, the figure of the path is given with dimensions. Now,  The area of the larger rectangle = A1 = 50 m ⨉ 20 m= 1000 m2 The area of the smaller rectangle = A2= 46 m ⨉ 16 m =  736 m2 Now,  Area of the path = A1 - .....

10. Mass can be measured in local units like dhami, pau, etc. Discuss the advantages of using kilograms as a standard units of mass over the local units of mass.

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11. Write the difference between kilogram and kilometer.

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12. A survey conducted among 560 students of a school, the following information is found in which 320 like football game, 300 like volleyball game and 500 like at least one of the game.
i) Find the number of students who like both games.
ii) Find the number of students who don't like both games.
iii) Show the above information in a Venn-diagram.

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13. In a survey of a community, 45% of the people like Dashain festival, 65% like Tihar festival and 20% like both festivals.
i) Show it in Venn-diagram.
ii) What percent of them don't like both festivals?

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14. In a survey, out of 160 people, 50 said they like teleserial and 60 said they like the news and 30 said they don't like both. If 40 men said they don't use to watch the television, how many people liked both?

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15. In a survey of 80 people, it was found that 60 liked oranges only and 10 liked both oranges and apples. The number of people who liked oranges is five times the number of people who liked apples. By using a venn diagram, find the number of people who likes apple only and who didn't like any of these fruits.

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16. Of the total candidates in an examination, 40% students passed in Maths, 45% in Science & 55% in Health. If 10% passed in Maths & Science, 20% in Science & Health and 15% in Health & Maths. Calculate the percentage of students who passed in all the three.

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17. In a survey conducted among some people of a group, it was found that 40% of them liked literature, 65% of them liked music and 10% of them liked none. If there were 30 people who liked both of them, find the number of people participated in the survey.

Let, Land M denote the people who like literature and music respectively. Then,  n(L) = 40%, n(M) = 65%, n(L∩M) = 30, n(U) = 100%, n(L∪M)' = 10% Now,  n(L∪M) = n(U) - n(L∪M)' = 100% - 10% = .....

18. It 10 gram of saturated solution of copper sulphate at 75o C is cooled down to 20o C. How much copper sulphate will be precipitated if solubility of copper sulphate at 75o C is 90 and 25o C is 20 respectively.

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19. Among 60 people, 25 people like to read The Gorkhapatra Daily only and 20 people like to read The Kantipur Daily only. If 10 people do not like to read any of the two newspapers, then
i) Represent above information in a Venn-diagram.
ii) Find the ratio of people who like to read The Gorkhapatra Daily to the people who like to read The Kantipur Daily.

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20. In a survey of a community, 55℅ of people like to listen radio, 45℅ of people like to watch television and 35℅ of people like to listen radio as well as to watch television. Find the percentage of people who do not like to listen the radio as well as to watch the television.
 

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21. What is the main reason of taking different measurement in our daily life? Why is SI unit established?

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22. In a survey, it was found that 80% people liked orange, 85% liked mangoes and 75% liked both. If 45 people liked none of them, by drawing a venn-diagram find the number of people who were in the survey.

Let, O and M denote the people who like orange and mango respectively. Then,  n(O) = 80%, n(M) = 85%, n(O∩M) = 75%, n(U) = 100%, n(O∪M)' = 45 Now,  n(O∪M) = n(O) + n(M) - n(O∩M) = 80% + 85% - 75% = .....

23. Out of 65 players ,11 play basketball only,11 play both basketball and cricket .The number of players who play cricket is twice the number of players who play basketball.Find the number of players who play cricket only ?

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24. Identify the fundamental and derived units form the list of units given below: Candela Hertz Mole Joule

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25. Generally the length of one meter is equal all over the world, why?

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26. Are the quantities of kilogram measured in all the countries of the world equal? Why?

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27. If any physical quantity is defined as the product of mass and acceleration, what is its SI unit? Is it fundamental or derived unit? Write with reason.

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28. Write any two advantages of SI system over other system of units. The unit of pressure is called derived unit, why?

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29. A trader allows a discount of 15% on the marked price and makes a profit of 19%. Had he sold at the marked price, what would have been the percentage of his profit?

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30. Express the unit of force in terms of fundamental units.

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31. In a survey of a community 60% like tea, 55% like coffee, 15% don't like both of them and 150 like both the drinks, then find the total number of people in that community. 

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32. The perimeter of a right angled triangle is 60 cm. Its hypotenuse is 26 cm. Find the other two sides and area of the triangle.

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33. Why is mole called fundamental units?

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34. Out of 150000 people of kawasoti municpality 60% of them are youth 80% of youth like to play football, 50% like to play cricket but 10% of them don't like play any games. Find the no. of youth who like to play both  games by using venn-diagram.

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35. Which fundamental units are involved in pascal?

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36. Rewrite the given sentence.

Open the door. (into negative)

Please learn this: An imperative is base verb (present simple verb). Above, 'open' is the verb. The negative form is do + not + base verb. We can add 'please' at the end of the sentence to be more polite. We use .....

37. Measure the dimensions of your room and calculate its area and volume.

You've to take measurement of your room. Say, length (l) = 5 m breadth (b) = 4 m  height (h) = 3 m Then, area of the floor (A) = l x b = 5 x 4 = 20 m2. Volume of the room (V) = l x b x h = 5 x 4 x 3 = 60 .....

38. If X and Y are two overlapping subsets of a universal set U, write the relation between n(Y), n(X∩Y) and no(Y).

If X and Y are two overlapping subsets of a universal set U. The relation between n(Y), n(X∩Y) and no(Y) is. no(Y) =   n(Y) - .....

39. Solve the following equations:
5.2x+1 - 7.2x = 24

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40. Solve:
 2x+2+2x+32=1

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41. Solve:
 3x+3+3x+1=109

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42. Solve:
 8x x 32=43x-5

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43. Why is skilled manpower necessary for the development of the country?

Now, let's talk about the necessity of skilled manpower for the development of the country. - The skilled manpower can face any challenges and address them while carrying out developmental activities. - They are equipped with updated .....

44. If P and Q are two overlapping subsets of a universal set U, write the relation between n(P), n(P∩Q) and no(P).

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45. Which bird is the largest bird in the world ?

The ostrich is the largest and heaviest living bird. The ostrich was once known as the “camel bird” because of its long neck, prominent eyes, and sweeping eyelashes .....

46. nepal kabita ko bakya gara

मूल भाव या व्याख्या हो मित्र ? व्याख्या हो भने प्रश्न पठाउनुहोस् .....

47.

भुतकालको सबै पक्षलाई प्रयोग गरी आफुले भ्रमण गरेको कुनै ठाउँको वर्णन गर्नुहोस् ।

हामी नयाँ वर्ष २०७५ मनाउन इलाम गयौँ । बिहानको झुल्के घाम हेर्न अन्तु डाँडाँ जाने बेला सिरसिर .....

48.  What is perpendicular lines?

 Perpendicular means "at right angles". A linemeeting another at a right angle, or 90° is said to beperpendicular to it. In the figure above, the line AB isperpendicular to .....

49. 4 ko 3 number ko answer

कृपया प्रश्नको फोटो पठाउनुस् .....

50. Define variable motion.

A variable motion is defined as a motion that changes over time. i.e. it is the motion of an object in which the object travels with varied speed and it does not cover same distance in equal time intervals. For example: A bus picking up kids .....