Students and Teachers Forum

1. Simply:
 7175 + 300 - 348 

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2. Ram says to Gita, "I will tell my story to you and your friend myself."

Ram tells Gita that he will tell his story to her friend himself. Rule: If the reporting verb is in a present or future tense, the tense of the verb in the reported speech is not .....

3. Simplify:
   5x+y-    4x-y+    8xx2-y2

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4. Anil bought two articles for Rs. 900. He sold one of them at a profit of 10% and other at loss of 12%. Calculate his final profit or loss percent, if the selling price of both the article is same.

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5.  If xo and y o are a pair of co-interior angles, then find xo + yo =?
 

The sum of co- interior angles is 180o So, xo + yo = .....

6. Find in what rate of interest a sum of Rs.4000 amount to Rs.6000 in 2 years?

Solution, P= Rs. 4000 T= 2 yrs A= Rs 6000 I = A-P= Rs.6000-Rs. 4000 = Rs. 2000 R=? Here, R= (I X100)/(P X T)   = (Rs. 2000 X 100)/(Rs. 4000X 2 )   = .....

7. If the cost of 12 pens is equal to selling price 10 pens . Find the profit percentage.

Let CP of one pen be y, then,  CP of 12 pens = 12y So, SP of 10 pens = 12y or,  SP of one pen = 12y/10 Here, Profit = SP - CP                       = 12y/10 - .....

8. निबन्ध लेख्नुहोस्ः
नारी शिक्षाः आजको आवश्यकता

महिला शिक्षाको बेजोड महत्त्व बढेको साक्षरता : विश्वभरि अनौपचारिक युवाहरू .....

9. If P+ 1p=5, find the value of p- 1p2

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10. Solve graphically:
x+y=4 and x-y=2

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11. What is child rights?

The above image shows the some of the rights of the children. In your neighborhood, you may have seen children who were mistreated. Some of the senior members may have used some children to do some works. The children may not be going to School .....

12. If p+1/p = 5 find the value of (p-1/p)2.

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13. Do the following:
a) 25+ 31000
b) 48+ 6100+ 71000

a)  =  25 + 3/1000 =  25 + 0.003 =  25.003 b)  48 + 6/100 + 7/1000  =  48 + 0.06+0.007  =  .....

14. If a + b + c = 0 then prove 11+xa+x-b+ 11+xb+x-c+ 11+xc+x-a=1.

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15.
Show the given equation in graph:-
x=y+4

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16. A light rope is attached to a block with mass 4 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless pulley and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 10 N. Draw free body diagrams and calculate the acceleration of either block and the mass m of the hanging block. 
[Ans: 2.5 m/s2, 1.33 kg]

Now, The force in the rope is less than the weight force (Mg) by the amount of force needed to accelerate the hanging mass M. Therefore, the tension in the rope is mg - ma, where m is the mass of the hanging body.   i.e. F = mg - .....

17. Calculate the total surface area.

 

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18. Which metals are used for the treatment of anorexia and migraine?

Anorexia is resulted from the eating disordered behaviors, such as malnutrition, electrolyte imbalance or an unstable heartbeat. So, metals like zinc, magnesium, sodium and other nutrients should be supplied well for its .....

19. Write an essay about your family.

My father is a police officer. He is a great disciplinarian. He is sincere and hardworking. He always goes to office in time. My mother is a  housewife. She is a postgraduate in English. She is soft-natured and caring. She takes great care of .....

20. What is the use of wind mill?

Look at the above figure. They are pictures of windmill. A windmill is a mill that converts the energy of wind into rotational energy by means of vanes called sails or .....

21. Complete these sentences adding a relative clause.

a. Monkeys have special thumbs that ......................
b. There lived a crocodile that .....................
c. I have got a book that .......................
d. The students were travelling on a bus that ......................
e. My friend has bought a bag that .....................
f. Look at the mountain that .................................

a. Monkeys have special thumbs that help them while hanging in the trees. b. There lived a crocodile that has big claws and teeth. c. I have got a book that belonged to my grandfather. d. The student were travelling on a bus that belonged to the .....

22. It takes 15 days for 20 workers to finish a work. How many workers must be added to complete the work in 12 days?

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23. Write a paragraph on "Pen is more powerful than sword" .

Pen and Sword are the two opposites. They contrast as they mean different things. The pen is associated with intellect or reasoning capacity of the people. It represents the civilization. It always promotes solving .....

24. हामी नेपालीले के के कुरा गर्नुपर्छ?

हामी नेपालीले नेपालको रक्षा गर्नुपर्छ । हामीले आफ्नै देशमा पसिना बगाउनुपर्छ । सबैलाई .....

25. Monthly expenditure of a man is given below. Represent it in the Pie chart.
Items Food Cloth Education Rent Others
Expenditure Rs. 810 Rs. 270 Rs. 180 Rs. 270 Rs. 270

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26. If the diameter(d) of a circle is 14 cm. find the circumference(c) of the circle.

Here, Diameter of circle = d  = 14cm Circumference = C =? We know,  C= πd    = 22/7 x 14cm              [ π = 22/7.]    = 44 cm, is .....

27. The cooler air move towards hotter air. Explain with diagram.

Because when air is hot, its molecules are further apart, so it takes up more space. That makes hot air lighter than cold air, because the cold air has more molecules in the same amount of space. Hence, hot air rises up and the cold air moves .....

28. Simplify by rationalization:
 45+125-35

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29. Find the interior Angle and construct a pentagon with vertex 4.

Solution, No of sides of pentagon = n = 5 Interior angle = ? we know,  Interior angle = ( n- 2) x 180o / n                        =( 5- 2) x 180o / 5         .....

30. A shopkeeper marks the price of an article 25% above it's cost price.
After allowing discount of 15% on it's marked price, it was sold at a gain of Rs 2700.00
Find it's marked price.

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31.  Formula of simple intrest profit , and loss.

1) SP = CP + Profit amount 2) CP = SP - Profit amount 3) Profit amount = SP – CP  

4) SP = CP - Loss amount  

5) Profit amount = Profit percent of CP (If profit percent is given)  

6) Loss amount = .....

32. Prepare an attractive post card to distribute to your friends and teachers on the auspicious occasion of your own local festival.

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33. A boat covers 15 km in 3hours, what distances can it cover in 2 hours and 30 minutes?

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34. The volume of a room is 360 m3 and its height is 4m. Find the cost of carpeting its floor at Rs 48 per sq. metre.

We have,  Volume of the room = 360 m3 or, Area of floor × height = 360  or, Area of floor × 4 = 360 Therefore, area of floor = 360 / 4 = 90 m2 Now, Cost of carpeting = Rate × area of floor = Rs. .....

35.

The dimension of a wall is 30 m × 5 m × 40m cm. How many beicks of size 30 cm × 15 cm × 6 cm will be required to build the wall leaving 10% of the space for the cement work. Also find the cost of bricks at the rate of Rs 3500 per 1000 bricks.

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36. Find the value of unknown angle.

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37. Find the values of unknown angles.

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38. The monthly salary of an unmarried employee in a bank is Rs. 45,000. How much income tax should he/she pay in a year under the following conditions?

Upto Rs 3,50,000 - 1% tax
Rs 3,50,001 to Rs 4,50,000 - 15 % tax
Rs 4,50,001 to Rs 25,00,000 - 25% tax

a) The monthly income of an individual = Rs. 45000   So, the annual income of an individual = 12 x Rs. 45000.                                       .....

39. Calculate the total surface area and volume of the given prism.

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40. Simplify:
 11+xa-b+xa-c+ 11+xb-c+xb-a+ 11+xc-a+xc-b

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41. Find the sum if its intrest in 3 months with 112 % per annum is Rs 66.

Here, Interest = I = Rs.66 Time = T = 3months  = 3/12 = 1/4 yrs. Rate = 11/2 = 5.55 Sum = P =? We know, P = [ I x 100] / TR = 66 x 100 / [ 1/4 x 5.5] = .....

42. Simplify:
2(2×6)+5×9

2 ( 2 × 6 ) + 5 × 9 = 2 ( 12 ) + 5 × 9 = 24 + 5 × 9 = 24 + 45 ​​​​​​​ = .....

43. Factorize:
8 + 6y + y2 - 2x - x2

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44. Solve:

2x+3- 2x+22x+2 

3n+2+ 3n5 ×3n

1. Here, [2x+3 - 2x+2 ] / 2x+2 = [2x +2 .21 - 2x+2 ] / 2x+2                  [ using, xm+n= xmxn.] = 2x +2 [21 - 1 ] / 2x+2  = 2x+2 - x .....

45. How many bricks each 24 cm  × 10 cm × 5cm will be required for a wall 33 m long 3 m high and 36 m thick leaving its 3 gates each 3 m × 2 m?

Check your question, thickness of wall is 36cm inplace of 36m. Then ,  Find the volume of a brick = 24 cm  × 10 cm × 5cm = ......... Find the volume of Wall without 3 gates. = 33m x 3m x 0.36m - 3 x 3m x 2m x .....

46. What is the value of x while 2x=25?

2x = 25 or, x = 25/2 ∴ x = 25/2 = .....

47. If the volume of a cubical box is 125cm3.Find the total surface area of the same box.

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48. Find the volume of the combined solid object shown in the figure.

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49. The market price of bicycle is Rs 6000. After given 10% discount and 12% VAT was levied on the bicycle. What is the selling price of the bicycle? Find it.

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50. Construct and angle of 45.

1). Use ruler and draw a Line segment OB of any convenient length. (as shown below)    2). Now use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at .....