Students and Teachers Forum

1. Which one is correct?
- He did good.
- He did well.

First, let me share you some examples first. Incorrect: She sings good.

Correct: She sings well.

Incorrect: She speaks English good.

Correct: She speaks good English.

Correct: She speaks English well. According .....

2. List various organs found in head region of larvae

Here is a picture of larvae of mosquito. Look it carefully and list the parts of the .....

3. An agent sells some article for rs.5500. What commission does he get at 5percent

Here, in your question, total sells=Rs.5500 Commission rate=5% So by using formula, Commission amount= commission % of total sells                              .....

4. Write the reason behind the atmosphere does not escape away from the earth.

It is indeed true that air molecules escape from the surface of the atmosphere, but the no  of particles escaping are very very low. Most common gas molecules to escape are hydrogen and helium. The main reason because of which they are able .....

5. What change occurs in gravitational force between two objects of fixed mass when the distance between them is halved ? Show by calculation. 

You may know that, gravitational force between two objects (F) = GMm/d2    Now, when the distance between the objects is halved (d) = d/2 Since, masses of the both objects are fixed    then, F1=  GMmd22    .....

6. What is centroid formula

Look at the figure,  So, centroid is given .....

7. Find the equation of the straight line passing through the point (1, -2 ) and parallel to the line x-3y-1=0

Here, We have given equation is x - 3y - 1 = 0 Slope of this line = m = - coeff.of x / coeff.of y  = 1/3 So, slope of required line is also m = 1/3 , since they are //. So, equation of required line is,  y - y1 = m(x - x1) Now, put m .....

8. In a survey of 120 students, it was found that 17 drink neither tea nor coffee, 88 drink tea and 26 drink coffee. By drawing Venn-diagram, find out the number of students who drink both tea and coffee. 
[Ans: 11]

Here, n(U) = 120 n(TUC)' = 17 So,  n(TUC) = n(U) - n(TUC)'               = 120 - 17                 = 103 Let, no.of students  who liked both be .....

9. Find the Q1  class of the following data :

For this we need to draw cf table.    C.I.  f  cf 10-20  2  2  20-30  4  6 30-40  4  10 40 .....

10. In a continuous data, the sum of frequencies is 68 and the upper limit of Q1 class is 40. If Q1 class is 35, frequency of Q1 class is 10 and the cumulative frequency of pre-Q1 class is 9, find the lower limit of the Q1 class. 
[Ans: 15]

Here,  C.I. = L-40    & h = 40 - L f = 10, N = 68 cf = 9 Q1 = 35 We know,  Q1 = L + ( N/4 - cf) h/f   35 = L + ( 68/4 - 9) ( 40 - L)/10 or, 35 = L  + 8( 40 - L) / 10 or,  35⨯ .....

11. In a continuous series of 34 terms, Q1 lies in a class of (20 - A). Q1 is 29, frequency of Q1class is 5 and cumulative frequency of pre-Q1 class is 4, what is the value of A? 
[Ans: 30]

Here,  C.I. = 20 - A  , So, L = 20  & h = A - 20 f = 5, N = 34 cf = 4 Q1 = 29 We know,  Q1 = L + ( N/4 - cf) h/f   29 = 20 + ( 34/4 - 4) (20-A)/5 or, 9 ⨯ 5 =   4.5( 20 - A) Simplify and .....

12. In a continuous of N terms, the Q1 lies in a class of (20 - 40) If Q1 = 35, the cumulative frequencies of Q1 class and pre-Q1 class are 17 and 5 respectively, what is the value of N ? 
[Ans: 56]

Here,  C.I. = 20-40  , So, L = 20  & h = 20 f = 15, N = ? cf = 5 Q1 = 35 We know,  Q1 = L + ( N/4 - cf) h/f   35 = 20 + (N/4 - 5) 20/15 Simplify and find .....

13. In a continuous series of 40 terms, the Q1 lies in the class of: (30 - 40). If Q1 is 31 and the frequency of Q1 class is 10, find the cumulative frequency of pre-Q1 class. 
[Ans: 9]

Here,  C.I. = 30-40  , So, L = 30  & h = 10 f = 10, N = 40, cf = ? Q1 = 31 We know,  Q1 = L + ( N/4 - cf) h/f   31 = 30 + ( 40/4 - cf) 10/10 or, 31 - 30 = 10 - cf Simplify and find .....

14. The first quartile class of a continuous data is 10-20. If corresponding frequency is 8 and the sum of frequencies of 
the data is 42. If the total preceding term of 10-20 is 6, find the first quartile of the data. 
[Ans: 15.625] 

Here,  C.I. = 10- 20  , So, L = 10  & h = 10 f = 8, N = 42, cf = 6 Q1 = ? We know,  Q1 = L + ( N/4 - cf) h/f         = 10 + ( 42/4 - 6) 10/10 Find .....

15. Find the third quartile class from the given graph.

Here, From tha graph,  N = 20. Position of median = 3N/4 = 15th item. Look at graph in y - axis, find 15, Draw a line from 15 to the cf curve and from that draw a st. line to class interval line, you will get 12 - 16 .....

16. Find the first quartile class from the given graph.

Here, From tha graph,  N = 20. Position of Q1  = N/4 = 5th item. Look at graph in y - axis, find 5, Draw a line from 5 to the cf curve and from that draw a st. line to class interval line, you will get 4 - 8 .....

17. Find the slope of a line which makes an angle 45° with the line passing through (1,-1) and (6,-7)

Here,  Angle between the line = θ = 45o   Slope of line joining (1, -1) & ( 6, -7) is  m1 = ( - 7 + 1) / ( 6 -1)  = - 6 / 5. Let m2 be the slope of required line. Then  Tanθ = ∓ { .....

18. If median class is 30 - 40, cumulative frequency of pre-median class is 8, the frequency of median class if 14 and 
total number of data is 30 then find the value of median. 

We have given, N = 30, c.f. = 8, f = 14, median class = 30-40 So, L = 30 & h = 40-30 = 10. We know,  Median =  L + (N/2 - cf) h / f              = 30 + ( 15 - 8) 10 / 14 Calculate .....

19. The median class of a continuous data is 70 - 80, its corresponding frequency is 16 and the sum of frequencies of 
the data is 60. If the total preceding term of 70-80 is 15, find the median of the data. 
[Ans:79.375 ]

We have given, N = 60, c.f. = 15, f = 16, median class = 70 - 80 So, L = 70 & h = 80 - 70 = 10. We know,  Median =  L + (N/2 - cf) h / f              = 70 + ( 30 - 15) 10 / 16 Calculate .....

20. From the given ogive curve, find the median class. 
[Ans: 10-15]

Here, From tha graph,  N = 30. Position of median = N/2 = 15th item. Look at graph in y - axis, find 15, Draw a line from 15 to the cf curve and from that draw a st. line to class interval line, you will get 10 - 15 .....

21. Find the median if N = 240, c.f. = 56, f = 85, median class = 50 - 70

We have given, N = 240, c.f. = 56, f = 85, median class = 50 - 70 So, L = 50 & h = 70 - 50 = 20. We know,  Median =  L + (N/2 - cf) h / f              = 50 + ( 120 - 56) 20 / 85 Calculate .....

22. Find the median class from the following table.
C.I 10-20 20-30 30-40 40-50 50-60
f 2 4 4 4 2

To find median class, draw the cf table. Then use formula, Position of median = N/2 th item,   Where, N = total frequency. Then look at cf table and find the corresponding .....

23. Find the median class from the following table.
Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70
f 2 5 7 6 3 2

Here, Given table is cf table. So,  N =  22. We know, Position of median = N/2 = 22/ 2 = 11 th item. Look at cf table & find the corresponding class .....

24. In a continuous series, Mean(X) = 15 + a and ∑fx = 420 + 28a, find the number of terms(N).

Here,  Mean = 15 + a, Σfx = 420 + 28a N = ? We know,  Mean = Σfx/N or, 15 + a  = ( 420 + 28a) / N or, N =  28( 15 + a) / ( 15 + a) or, N=..................?  Can you complete .....

25. In a continuous series, Mean(X) = 19 + 2m and ∑fx = 133 + 14m, find the number of terms.

Here,  Mean = 19 + 2m, Σfx = 133+14m N = ? We know,  Mean = Σfx/N or, 19+2m  = ( 133+ 14m) / N or, N =  7( 19 + 2m) / (19 + 2m) or, N=..................?  Can you complete .....

26. If ∑fx = 370 + 20a, ∑f = 23 + a and Mean(X) = 17, find the value of a.

Here,  Σfx = 370 + 20a,   Σf = 23+ a  Mean = 17, a = ? We know,  Mean = Σfx/Σf or,  17 = (370 + 20a) / (23 + a) or, 17( 23 + a) = 370 + 20a or, 391 + 17 a = 370 + 20a  or, 20a .....

27. 45% of the students of a Padampur Shiksha Niketan School play basketball, 40% play cricket and 30% play both. If 360 students play neither basketball nor cricket, use Venn-diagram and find the number of students in the school. Also, find the number of students who play only basketball. 
[Ans: 800, 120]

Let, n(U) = 100% n(B) = 45% n(C) = 40% n(BC) = 30% We know,  n(BUC) = n(B) + n(C) - n(B∩C)               = 45 %  + 40% - 30%                = .....

28. Find the value of unknown angles.

Here,  ∡OBA = 90o       [ Since, tangent is perpendicular with radius.] Now, in qd.ATOB,  260 + 900 + 800 + ∡OTA = 360o         [ Can you write the reason?] Find ∡ .....

29. In the given figure, arc APB = arc cQD. Prove that AC // BD.

Here, join B & C. We have given,  Arc APB = Arc CQD. Now,  ∡ACB = ∡BCD                     [ As  Arc APB = Arc CQD is given.] So, AC // BD    .....

30. In thefigure, O is the centre of the circle and the chords AB = BC = CD = DE. Prove that AD = BE.

Here,      Arc ABCDE = Arc EDCBA              [ Same arc are equal.] or, Arc AB + arc BCDE = Arc ED + Arc DCBA         [ whole part axiom.] or, AB + BE = ED + DA  .....

31. In the figure given alongside, AB and CD are two parallel chords. Prove that arc AC = arc BD.

Here, draw a lin joining B & C. Now, ∡ABC = ∡BCD      [ As alternate angles.] Arc AC = Arc BD             [ As equal angles makes equal arcs.] Does it proves your .....

32. अनुसासन को महतव माथी निवदन लेख।

अनुशासनको महत्त्व

सामाजिक, धार्मिक, नैतिक  मर्यादाभित्र समाजमा उपयोगी नियमभित्र .....

33. What is the common essence of all religions?

- All the religions tell us that basic morals that every person must follow comprise   of - don’t lie, don’t steal and never commit adultery. - There is compassion and respect for everyone. - All religions make a reference to God .....

34. How does bheja ,guthi and badghar help to maintain cooperation and relation in society?Write long answer.

Veja is also a social organization established to perform religious festivals. It also performs rites and rituals. It preserves traditional practices. It also helps in conducting economic activites . It is famous in Magar community. Badghar is .....

35. Why is there quarrels in Bimala's family?

Dear student, the question above is based on a particular text. You need to post the reading text too. Without reading text it is quite confusing to answer the question. Could you please post the .....

36. ग्रन्थ चित्र लेख्ने र रेखाचित्र कोर्ने काममा प्रयोग गरिने रंग र वस्तुहरुको निर्माण कसरि गरिन्थ्यो ?

कागजको आविस्कार हुनुभन्दा पहिले ताडपत्र र भोजपत्रमा ग्रन्थचित्रहरु कोरिन्थे । ताड नामको .....

37. मानव सभ्यताको विकाससंगै धर्म, संस्कृति र सामाजिक मूल्य मान्यताको  विकास भएको छ ।

मानव विवेकशील प्राणी हो ।मानवको विकास सभ्यताको विकास हो । समयसँगै क्रमश .....

38. How does paincho help in solving people's immediate problems? Write in a sentence.

Paincho is a social practice of giving and taking goods and services. People can fulfill or solve their immediate needs by the use of goods received from other. For example, one of my neighbours is in need of rice. I gave him as per his .....

39. तलका शब्दका समास वा विग्रह गर्नुहोस्:
गाईजात्रा, तीन शूलको समूह

गाईजात्रा - गाईको जात्रा तीन शूलको समूह - .....

40. तलको अनुच्छेदबाट उपसर्ग लागेर बनेका दुईओटा शब्द पहिचान गरी लेख्नुहोस्:
हिमाल पहाड तराई कोही छैनन् पराइ भन्ने अभियानमा लागेको देशको ज्ञानी व्यक्तित्वहरूको महानतालाई हामी सबैले अनुमोदन गर्नु आजको आवश्यकता हो। यसबाट देशको उन्नति हुने कुरामा शङ्कै छैन।

प्रत्यय लागेका दुई शब्द महान्ता व्यक्तित्व पराइ उपसर्ग लागेका दुई .....

41. तलको अनुच्छेदबाट उपसर्ग लागेर बनेका दुईओटा शब्द पहिचान गरी लेख्नुहोस्:
अञ्जना 'विज्ञान वरदान होइन अभिशाप हो' भन्ने शेर्षकको पक्षमा खँदिलो विचार राख्न आएकी छिन्। दर्शकलाई मन छुने अभिव्यक्ति दिएर सबैको ध्यान केन्द्रीत गर्नु सफल अञ्जनाले सबैले भन्दा बढी तली पाइन्।

प्रत्यय लागेका दुई शब्द प्राकृतिक ऐतिहासिक सुन्दरता उपसर्ग लागेका दुई .....

42. Either Mohan or Sunil will call you this evening. (into negative)

Study the following example, first. Affermative : Either Hari or Nirmala will pick you up at the airport. Negative       : Neither Hari nor Nirmala will pick you up at the airport. Things to .....

43. ..... Hari is the tallest boy in the class.(A, An,The)

Study the following examples, first. - Newton was a great philosopher. - Pokhara is a beautiful place. - Nepal is a land of diversities. Before proper nouns, no article is used. If then, what will be the correct answer? Hari is the tallest boy .....

44. Madan learnt swimming when he was a child. [ change into what question]

What did Madan learn when he was a child? Rule: What should replace the swimming. Study the ideas shown in the table below. The information below will help you to form what .....

45. Write about sodium.

Sodium is a chemical element with symbol Na (from Latin natrium) and atomic number 11. It is a soft, silvery-white, highly reactive metal. Sodium is an alkali metal, being in group 1 of the periodic table, because it has a single electron in its .....

46. Simplify:
27-6-3

Here, We have given, 27 - 6 - 3 First subtract 6 from 27, you will get 21, Then subtract 3 from 21 you will get 18. So,    27 - 6 - 3 = 21 - 3 = 18 is .....

47. How do you justify the statement 'present age is the age of science and technology?

Due to the invention of internet, the people of the world have been connected together. Nothing is secret as it used to be in the past. The people have access to information so they can know what is going on around. And, this too has refined the .....

48. Find the value of k.
50100 = k(10050)

Here,     50100 = k(10050)  or, 50100 = k(10100) or, k = 50100/ 10100           = (50/10)100          Can you find the answer .....

49. If x = 31/3 - 32/3, then find x3 + 9x + 6 = ?

Here, we have given, x = 31/3 - 32/3 Cubing  both sides we get      x3 = (31/3 - 32/3)3 or, x3 = 31/3 ⨯ 3 - 3.31/3.32/3(31/3 - 32/3) - 32/3⨯3 or,  x3 = 31 - 3.31/3+2/3(x) - 32 Sinmplify and .....

50. If sinA + cosecA = 2. Then sin8A + cosec16A = ..................?

Given,  sinA + cosecA = 2 First, let's note that cosec A = 1 / sin A Let sin A = x Now, putting sin A = x and cosec A = 1 / x in equation ( i ) we  get,  x+1x=2 or,  x2+1x=2  or, x² + 1 = 2x or, .....

Marks 5 - 15 5 - 25 5 - 35 5 - 45 5 - 55
f 3 8 17 20 22