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NIOS Question Paper - Xth standard, Exercises of Mathematics

Mathematics

Practice Question paper Maths / Mathematics NIOS Secondary (Xth)

Typology: Exercises

2019/2020

Uploaded on 03/18/2020

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!55/OS/2-211-A!
[ Contd...
55/OS/2-211-A ]
This Question Paper consists of 36 questions including 2 figures and 12 printed pages.
ß‚ ¬˝‡Ÿ-¬òÊ ◊¥ 36 ¬˝‡Ÿ ∑§ 12 ◊ÈÁŒ˝Ã ¬Îc∆UU •ÊÒ⁄U 2 ÁøòÊ „Ò¥–
Roll No.
•ŸÈ∑˝§◊Ê¥∑§
Code No.
∑§Ê«U Ÿ¥. 55/OS/2
MATHEMATICS
(ªÁáÊÃ)
(211)
Day and Date of Examination
¬⁄UˡÊÊ ∑§Ê ÁŒŸ fl ÁŒŸÊ¥∑§
Signature of Invigilators 1.
ÁŸ⁄UˡÊ∑§Ê¥ ∑§ „SÃÊˇÊ⁄U
2.
General Instructions :
1. Candidate must write his/her Roll Number on the first page of the Question Paper.
2. Please check the Question Paper to verify that the total pages and total number of questions
contained in the Question Paper are the same as those printed on the top of the first page.
Also check to see that the questions are in sequential order.
3. For the objective type of questions, you have to choose any one of the four alternatives given
in the question i.e. (A), (B), (C) or (D) and indicate your correct answer in the Answer-Book
given to you.
4. All the questions including objective type questions are to be answered within the allotted
time and no separate time limit is fixed for answering objective type questions.
5. Making any identification mark in the Answer-Book or writing Roll Number anywhere other
than the specified places will lead to disqualification of the candidate.
6. Write your Question Paper code No. 55/OS/2-A on the Answer-Book.
7. (a) The Question Paper is in English/Hindi medium only. However, if you wish, you can
answer in any one of the languages listed below :
English, Hindi, Urdu, Punjabi, Bengali, Tamil, Malayalam, Kannada, Telugu, Marathi,
Oriya, Gujarati, Konkani, Manipuri, Assamese, Nepali, Kashmiri, Sanskrit and Sindhi.
You are required to indicate the language you have chosen to answer in the box provided
in the Answer-Book.
(b) If you choose to write the answer in the language other than Hindi and English, the
responsibility for any errors/mistakes in understanding the question will be yours only.
Set A
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download NIOS Question Paper - Xth standard and more Exercises Mathematics in PDF only on Docsity!

This Question Paper consists of 36 questions including 2 figures and 12 printed pages.

ß‚ ¬˝‡Ÿ-¬òÊ ◊¥ 36 ¬˝‡Ÿ ∑§ 12 ◊ÈÁŒ˝Ã ¬Îc∆U U •ÊÒ⁄U 2 ÁøòÊ „Ò¥–

Roll No.

•ŸÈ∑˝§◊Ê¥∑§

Code No.

∑§Ê«U Ÿ¥.^55 /OS/^2

MATHEMATICS

(ªÁáÊÃ)

Day and Date of Examination

¬⁄UˡÊÊ ∑§Ê ÁŒŸ fl ÁŒŸÊ¥∑§

Signature of Invigilators 1.

ÁŸ⁄UˡÊ∑§Ê¥ ∑§ „SÃÊˇÊ⁄U

General Instructions :

  1. Candidate must write his/her Roll Number on the first page of the Question Paper.
  2. Please check the Question Paper to verify that the total pages and total number of questions contained in the Question Paper are the same as those printed on the top of the first page. Also check to see that the questions are in sequential order.
  3. For the objective type of questions, you have to choose any one of the four alternatives given in the question i.e. (A), (B), (C) or (D) and indicate your correct answer in the Answer-Book given to you.
  4. All the questions including objective type questions are to be answered within the allotted time and no separate time limit is fixed for answering objective type questions.
  5. Making any identification mark in the Answer-Book or writing Roll Number anywhere other than the specified places will lead to disqualification of the candidate.

6. Write your Question Paper code No. 55 /OS/ 2 - A on the Answer-Book.

  1. (a) The Question Paper is in English/Hindi medium only. However, if you wish, you can answer in any one of the languages listed below : English, Hindi, Urdu, Punjabi, Bengali, Tamil, Malayalam, Kannada, Telugu, Marathi, Oriya, Gujarati, Konkani, Manipuri, Assamese, Nepali, Kashmiri, Sanskrit and Sindhi. You are required to indicate the language you have chosen to answer in the box provided in the Answer-Book. (b) If you choose to write the answer in the language other than Hindi and English, the responsibility for any errors/mistakes in understanding the question will be yours only.

Set A

‚Ê◊Êãÿ •ŸÈŒ‡Ê —

1. ¬⁄UˡÊÊÕ˸ ¬˝‡Ÿ¬òÊ ∑§ § ¬„‹ ¬Îc∆U ¬⁄U •¬ŸÊ •ŸÈ∑˝§◊Ê¥∑§ •fl‡ÿU Á‹π¥–

2. ∑Χ¬ÿÊ ¬˝‡Ÿ¬òÊ ∑§Ê ¡ÊÚ°ø ‹¥ Á∑§ ¬˝‡Ÿ¬òÊ ∑§ ∑ȧ‹ ¬Îc∆UÊ¥ ÃÕÊ ¬˝‡ŸÊ¥ ∑§Ë ©ÃŸË „Ë ‚¥ÅUÿÊ „Ò Á¡ÃŸË ¬˝Õ◊ ¬Îc∆ ∑ §‚’‚

™§¬⁄U ¿U¬Ë „Ò– ß‚ ’Êà ∑§Ë ¡ÊÚ°ø ÷Ë ∑§⁄U ‹¥ Á∑§ ¬˝‡Ÿ ∑˝ Á◊∑§ UM§¬ ◊¥ „Ò¥–

3. flSÃÈÁŸc∆U ¬˝‡ŸÊ¥ ◊¥ •Ê¬∑§Ê øÊ⁄U Áfl∑§À¬Ê¥ (A), (B), (C) ÃÕÊ (D) ◊¥ ‚ ∑§Êß ¸ ∞∑§ ©ûÊ⁄ øÈŸŸÊ „Ò ÃÕÊ ŒË ªß¸

©ûÊ⁄U-¬ÈÁSUÃ∑§Ê ◊¥ •Ê¬ ‚„Ë ©ûÊ⁄ Á‹Áπ∞–U

4. flSÃÈÁŸc∆U ¬˝‡ŸÊ¥ ∑§ ‚ÊÕ-‚ÊÕ ‚÷Ë ¬˝‡ŸÊ¥ ∑§ ©ûÊ⁄ ÁŸœÊ¸Á⁄Uà •flÁœ ∑ ÷ËÃ⁄U „Ë ŒŸ „Ò¥– flSÃÈÁŸc∆U ¬˝‡ŸÊ¥ ∑§ Á‹∞§•‹ª

‚ ‚◊ÿ Ÿ„Ë¥ ÁŒÿÊ ¡Ê∞ªÊ–

5. § ©ûÊ⁄U-¬ÈÁSUÃ∑§Ê ◊¥ ¬„øÊŸ-Áøq ’ŸÊŸ •ÕflÊ ÁŸÁŒ¸c≈U SÕÊŸÊ¥ ∑§§ •ÁÃÁ⁄UÄà ∑§„Ë¥ ÷Ë •ŸÈ∑˝§◊Ê¥∑§ Á‹πŸ ¬⁄U ¬⁄UˡÊÊÕ˸

∑§Ê •ÿÊÇÿ ∆U„⁄UÊÿÊ ¡ÊÿªÊ–

6. •¬ŸË ©ûÊ⁄U-¬ÈÁSUÃ∑§Ê ¬⁄U ¬˝‡Ÿ¬òÊ ∑§Ë ∑§Ê«U ‚¥ÅÿÊ 55 /OS/ 2 - A Á‹π¥–

7. (∑§) ¬˝‡Ÿ¬òÊ ∑§fl‹ Á„¥ŒË/•¥ª˝¡Ë ◊¥ „Ò– Á»§⁄U ÷Ë, ÿÁŒ •Ê¬ øÊ„¥ ÃÊ ŸËø ŒË ªß¸ Á∑§‚Ë ∞∑§ ÷Ê·Ê ◊¥ ©ûÊ⁄ Œ ‚∑§Ã

„Ò¥ —

•¥ª˝¡Ë, Á„¥ŒË, ©ŒÍ¸, ¬¥¡Ê’Ë, ’°ª‹Ê, ÃÁ◊‹, ◊‹ÿÊ‹◊, ∑§ãŸ«∏, Ã‹ÈªÈ, ◊⁄UÊ∆UË, ©Á«∏ÿÊ, ªÈ¡⁄UÊÃË, ∑§Ê¥∑§áÊË,

◊ÁáʬÈ⁄UË, •‚Á◊ÿÊ, Ÿ¬Ê‹Ë, ∑§‡◊Ë⁄UË, ‚¥S∑Χç•ÊÒ⁄U Á‚¥œË–

∑Χ¬ÿÊ ©ûÊ⁄U-¬ÈÁSÃ∑§Ê ◊¥ ÁŒ∞ ª∞ ’ÊÚÄ‚ ◊¥ Á‹π¥ Á∑§ •Ê¬ Á∑§‚ ÷Ê·Ê ◊¥ ©ûÊ⁄U Á‹π ⁄U„ „Ò¥– §

(π) ÿÁŒ •Ê¬ Á„¥ŒË ∞fl¥ •¥ª˝¡Ë ∑§ •ÁÃÁ⁄UÄà Á∑§‚Ë •ãÿ ÷Ê·Ê ◊¥ ©ûÊ⁄U Á‹πÃ „Ò¥ ÃÊ ¬˝‡Ÿ ∑§Ê ‚◊¤ÊŸ ◊¥ „ÊŸ flÊ‹Ë

òÊÈÁ≈UÿÊ¥/ª‹ÁÃÿÊ¥ ∑§Ë Á¡ê◊UŒÊ⁄Ë ∑ fl‹ •Ê¬∑§Ë „ÊªË–

  1. Value of 876.24+729.49−211.11 is : 1

876.24+729.49−211.11 ∑§Ê ◊ÊŸ „Ò —

(A) 1389.62 (B) 1294.104 (C) 1394.62 (D) 1191.

  1. Value of 7 − 1 + [(− 7) ]^2 − 1 is : 1

7 − 1 + [(− 7) ]^2 − 1 ∑§Ê ◊ÊŸ „ÊªÊ —

(A) 7 (B)

(C) 49 (D)

  1. Equation 2 −^ +^2 =^ +^2

25 2 (5 k ) 25

x xy y x y (^) is true when k is : 1

‚◊Ë∑§⁄UáÊ −^ +^ =^ +

25 2 2 1 2 (5 k )^2 25

x xy y x y ‚àÿ „ÊªÊ, ¡’ k ∑§Ê ◊ÊŸ „Ò —

(A)

(B) −

(C) 1 (D) − 1

  1. 8% of a liquid in a vessel of capacity 425 litres is lost due to some leakage and evaporation. Then quantity of liquid left in the vessel is :

(Presume that vessel was completely filled with liquid)

∞∑§ ’øŸ 425 Á‹≈U⁄U Ã⁄U‹ ¬ŒÊÕ¸ ‚ ¬Í⁄UË Ã⁄U„ ÷⁄UÊ „È•Ê ÕÊ– ß‚◊¥ ‚ 8% Ã⁄U‹ Á‹∑§¡ fl flÊc¬Ë∑§⁄UáÊ ∑§

∑§Ê⁄UáÊ ∑§◊ „Ê ªÿÊ– ’øŸ ◊¥ Ã⁄U‹ ¬hÊÕ¸ ⁄U„ ªÿÊ —

(A)

425 × 8

l (^) (B)

×

l

(C)

×

l (^) (D) ×

l

  1. In the following quadrilateral value of ‘x’ is :

ÁŸêŸ øÃÈ÷ȸ¡ ◊¥ ‘x’ ∑§Ê ◊ÊŸ „Ò —

(A) 75 (B) 15 (C) 105 (D) 60

OR / •ÕflÊ

(For Visually Impaired Learners only)

(∑§fl‹ ŒÎÁc≈U Áfl∑§‹Ê¥ª ÁfllÊÁÕ¸ÿÊ¥ ∑§ Á‹∞)

In a parallelogram ABCD, ∠A is (7x−30) 8 and ∠C is 5x 8. Then value of x will be :

(A) 758 (B) 158

(C) 1058 (D) None of the above

∞∑§ ‚◊ÊãÃ⁄U øÃÈ÷ȸ¡ ABCD ◊¥ ∠A ∑§Ê ◊ʬ (7x−30) 8 ÃÕÊ ∠C ∑§Ê ◊ʬ 5 x 8 „Ò– ÃÊ x ∑§Ê ◊ÊŸ „ÊªÊ —

(A) 758 (B) 158

(C) 1058 (D) ߟ◊¥ ‚ ∑§Ê߸ Ÿ„Ë¥

  1. A quadrilateral whose all sides are equal and both diagonals are equal is a : 1

(A) Square (B) Trapezium (C) Rhombus (D) Rectangle

∞∑§ øÃÈ÷ȸ¡ Á¡‚∑§Ë øÊ⁄UÊ¥ ÷È¡Ê∞° ‚◊ÊŸ „Ò¥ ÃÕÊ ŒÊŸÊ¥ Áfl∑§áʸ •Ê¬‚ ◊¥ ‚◊ÊŸ „Ò¥ ∑§„‹ÊÃÊ „Ò —

(A) flª¸ (B) ‚◊‹ê’ øÃÈ÷ȸ¡ (C) ‚◊øÃÈ÷ȸ¡ (D) •ÊÿÃ

  1. Evaluate : 1

◊ÊŸ ôÊÊà ∑§ËÁ¡∞ —

^   

3 5 2 5 25 9

  1. Harish saves 900 out of a total monthly salary of 14400. Find percentage of his saving.

„⁄UË‡Ê •¬Ÿ 14400 ∑§ ◊ÊÁ‚∑§ flß ◊¥ ‚ 900 ’øÊÃÊ „Ò– ©‚∑§Ë ’øà ¬˝ÁÇÊà ôÊÊà ∑§ËÁ¡∞–

  1. Write two conditions which are sufficient to ensure that quadrilateral is a rectangle.

øÃÈ÷ȸ¡ ∑§ ŒÊ ªÈáÊœ◊¸ Á‹Áπ∞ ¡Ê ‚ÈÁŸÁ‡øà ∑§⁄¥U Á∑§ øÃÈ÷ȸ¡ ∞∑§ •Êÿà „Ò–

  1. A man bought oranges at 25 for 100 and sold them at 20 for 100. Find his gain or loss percent.

∞∑§ √ÿÁÄà Ÿ 100 ∑§ 25 ∑§ ÷Êfl ‚¥Ã⁄U π⁄UËŒ •ÊÒ⁄U ©ã„¥ 100 ∑§ 20 ∑§ ÷Êfl ‚ ’ø ÁŒÿÊ– ©‚∑§Ê ‹Ê÷

ÿÊ „ÊÁŸ ¬˝ÁÇÊà ôÊÊà ∑§ËÁ¡∞–

  1. BA and DC are two chords of a circle, which when extended meet at a point P outside the circle. If PA=4 cm, PB=10 cm and PC=5 cm then find the length of CD.

flÎûÊ ∑§Ë ŒÊ ¡ËflÊ∞° BA •ÊÒ⁄U DC ’…∏ÊŸ ¬⁄U flÎûÊ ∑§ ’Ê„⁄U Á’ãŒÈ P ¬⁄U ∑§Ê≈UÃË „Ò¥– ÿÁŒ PA= 4 ‚.◊Ë.,

PB= 10 ‚.◊Ë. •ÊÒ⁄U PC= 5 ‚.◊Ë. „Ò CD ∑§Ë ◊ʬ ôÊÊà ∑§ËÁ¡∞–

  1. The altitudes AD and PS of two similar triangles ABC and PQR are 12 cm and 18 cm. Find the ratio of the areas of two triangles.

ŒÊ ‚◊M§¬ ÁòÊ÷È¡Ê¥ ABC ÃÕÊ PQR ∑§ ‡ÊË·¸ ‹ê’ AD ÃÕÊ PS ∑§Ë ‹ê’ÊßÿÊ° 12 ‚.◊Ë. ÃÕÊ 18 ‚.◊Ë. „Ò¥–

∆ABC ÃÕÊ ∆PQR ∑§ ˇÊòÊ»§‹Ê¥ ∑§Ê •ŸÈ¬Êà ôÊÊà ∑§ËÁ¡∞–

  1. If P is a point equidistant from two lines l and m intersecting at point A show that line AP bisects the angle between them.

ÿÁŒ Á’ãŒÈ P, ¬⁄US¬⁄U Á’ãŒÈ A ¬⁄U ∑§Ê≈UŸ flÊ‹Ë ⁄UπÊ•Ê¥ l •ÊÒ⁄U m ‚ ‚◊ŒÍ⁄USÕ „Ê ÃÊ Á‚h ∑§ËÁ¡∞ Á∑§ ⁄UπÊ AP

⁄UπÊ•Ê¥ l •ÊÒ⁄U m ∑§ ’Ëø ’Ÿ ∑§ÊáÊ ∑§Ê ‚◊Ám÷Ê¡∑§ „Ò–

  1. Find the area of a triangle whose sides are 8 cm, 11 cm and 13 cm.

∞∑§ ÁòÊ÷È¡ ∑§Ê ˇÊòÊ»§‹ ôÊÊà ∑§⁄UÊ Á¡‚∑§Ë ÷È¡Ê∞¥ 8 ‚.◊Ë., 11 ‚.◊Ë. ÃÕÊ 13 ‚.◊Ë. „Ò¥–

  1. Find the surface area and volume of a sphere of radius 7 cm.

7 ‚.◊Ë. ÁòÊíÿÊ flÊ‹ ªÊ‹ ∑§Ê ¬Îc∆UËÿ ˇÊòÊ»§‹ fl •Êÿß ôÊÊà ∑§ËÁ¡∞–

  1. Show that :

ÁŒπÊß∞ —

tan48 8 tan23 8 tan42 8 tan678= 1

  1. Given =

tan A 3

find sinA and cosA.

ÿÁŒ =

tan A 3

„Ê ÃÊ sinA ÃÕÊ cosA ∑§Ê ◊ÊŸ ôÊÊà ∑§ËÁ¡∞–

  1. One card is drawn from a well shuffled deck of 52 cards. Calculate probability that the card will be an ace.

•ë¿UË Ã⁄U„ »¥§≈UË ªß¸ ÃÊ‡Ê ∑§ 52 ¬ûÊÊ¥ ∑§Ë ∞∑§ ª«˜U«UË ◊¥ ‚ ∞∑§ ¬ûÊÊ ÁŸ∑§Ê‹Ê ¡ÊÃÊ „Ò– ¬˝ÊÁÿ∑§ÃÊ ôÊÊà ∑§ËÁ¡∞

Á∑§ ÿ„ ¬ûÊÊ ßÄ∑§Ê „Ê–

  1. Find ‘Mode’ of following data :

ÁŸêŸÁ‹Áπà •Ê¥∑§«∏Ê¥ ∑§Ê ’„È‹∑§ ôÊÊà ∑§ËÁ¡∞ —

  1. The hypotenuse of a right triangle is 13 cm. If the difference of remaining two sides is 7 cm, find the remaining two sides.

∞∑§ ‚◊∑§ÊáÊ ÁòÊ÷È¡ ∑§Ê ∑§áʸ 13 ‚.◊Ë. „Ò– ÿÁŒ ‡Ê· ŒÊ ÷È¡Ê•Ê¥ ◊¥ 7 ‚.◊Ë. ∑§Ê •ãÃ⁄U „Ê, ÃÊ ‡Ê· ŒÊŸÊ¥ ÷È¡Ê∞°

ôÊÊà ∑§ËÁ¡∞–

  1. The sum of the first three terms of an AP is 36 and their product is 1620. Find the AP.

∞∑§ ‚◊Ê¥Ã⁄U üÊ…∏Ë ∑§ ¬˝Õ◊ 3 ¬ŒÊ¥ ∑§Ê ÿÊª 36 ÃÕÊ ©Ÿ∑§Ê ªÈáÊŸ»§‹ 1620 „Ò– ‚◊Ê¥Ã⁄U üÊ…∏Ë ôÊÊà ∑§ËÁ¡∞–

  1. Find the difference between simple interest and compound interest for

years at 4%

per annum, for a sum of ` 24,000 when interest is compounded semi annually.

` 24,000 ∑§Ë ⁄UÊÁ‡Ê ¬⁄U 4% flÊÁ·¸∑§ Œ⁄U ‚

2 fl·¸ ◊¥ ‚ÊœÊ⁄UáÊ éÿÊ¡ ÃÕÊ ø∑˝§flÎÁh éÿÊ¡ ◊¥ •¥Ã⁄ ôÊÊÃ

∑§ËÁ¡∞, ¡’ Á∑§ éÿÊ¡ ¬˝Áà ¿U◊Ê„Ë ‚¥ÿÊÁ¡Ã „ÊÃÊ „Ò–U

(Only for Visually Impaired Learners)

(∑§fl‹ ŒÎÁc≈U Áfl∑§‹Ê¥ª ÁfllÊÁÕ¸ÿÊ¥ ∑§ Á‹∞)

Write only the steps of construction for constructing a triangle of sides 4 cm, 5 cm and

7 cm and then a triangle similar to it whose sides are

of the corresponding sides of

the first triangle.

ÁŸêŸ ⁄UøŸÊ „ÃÈ ∑§fl‹ ⁄UøŸÊ ∑§ ø⁄UáÊ Á‹π¥ —

4 ‚.◊Ë., 5 ‚.◊Ë. ÃÕÊ 7 ‚.◊Ë. ÷È¡Ê•Ê¥ ∑§Ê ÁòÊ÷È¡ ’ŸÊß∞– ß‚∑§ ‚◊M§¬ ∞∑§ •ãÿ ÁòÊ÷È¡ ∑§Ë ⁄UøŸÊ

∑§ËÁ¡∞, Á¡‚∑§Ë ÷È¡Ê∞° ¬„‹ ÁòÊ÷È¡ ∑§Ë ‚¥ªÃ ÷È¡Ê•Ê¥ ∑§Ê

„Ê–

  1. The upper part of a tree is broken by the strong wind. The top of the tree makes an angle of 30 8 with the horizontal ground. The distance between the base of the tree and the point where it touches the ground is 10 m. Find the total height of the tree.

•Ê°œË mÊ⁄UÊ, ŒÊ ÷ʪÊ¥ ◊¥ ≈ÍU≈U „È∞ ¬«∏ ∑§Ê ™§¬⁄UË ÷ʪ ÷ÍÁ◊ ∑§ ‚ÊÕ 308 ∑§Ê ∑§ÊáÊ ’ŸÊÃÊ „Ò– ¬«∏ ∑§Ê ™§¬⁄UË ¿UÊ⁄U,

Á¡‚ ¡ª„ ¬⁄U ÷ÍÁ◊ ∑§Ê ¿ÍUÃÊ „Ò fl„ ¡ª„ ¬«∏ ∑§ ¬ÊŒ ‚ 10 ◊Ë. ∑§Ë ŒÍ⁄UË ¬⁄U „Ò– ¬«∏ ∑§Ë ∑ȧ‹ ™°§øÊ߸ ôÊÊÃ

∑§ËÁ¡∞–

  1. Draw a histogram of the daily pocket expenses of 125 students of a school given below :

ŸËø ÁŒ∞ ª∞, ∞∑§ S∑ͧ‹ ∑§ 125 ÁfllÊÁÕ¸ÿÊ¥ ∑§ ŒÒÁŸ∑§ ¡’ πø¸ ∑§ •Ê¥∑§«∏Ê ∑§Ê •ÊÿÃÁøòÊ πË¥Áø∞ —

Daily pocket expenses in (`)

ŒÒÁŸ∑§ ¡’ πø¸ ( ` ◊¥)

Number of students

ÁfllÊÁÕ¸ÿÊ¥ ∑§Ë ‚¥ïÿÊ

OR / •ÕflÊ

‚¥ÅÿÊ

(Only for Visually Impaired Learners)

(∑§fl‹ ŒÎÁc≈U Áfl∑§‹Ê¥ª ÁfllÊÁÕ¸ÿÊ¥ ∑§ Á‹∞)

The weight (in kilograms) of 40 persons were as under :

40 √ÿÁÄÃÿÊ¥ ∑§ ÷Ê⁄U (Á∑§.ª˝Ê. ◊¥) ŸËø ÁŒ∞ „Ò¥ —

Weight

÷Ê⁄U

Number of persons

√ÿÁÄÃÿÊ¥ ∑§Ë ‚¥ïÿÊ

(a) Determine the class marks of the classes 40 - 45, 45 - 50 etc.

flªÊZ 40 - 45, 45 - 50 ßàÿÊÁŒ ∑§ flª¸ Áøã„ ôÊÊà ∑§ËÁ¡∞–

(b) Construct cumulative frequency table.

‚¥øÿË ’Ê⁄¥U’Ê⁄UÃÊ ’¥≈UŸ‚Ê⁄UáÊË ∑§Ë ⁄UøŸÊ ∑§ËÁ¡∞–

  1. The mean of the following distribution is 35. Find the values of x 1 and x 2 , if the sum of the frequencies is 25.

ÁŸêŸ ’¥≈UŸ ∑§Ê ◊Êäÿ 35 „Ò– ÿÁŒ ’Ê⁄¥U’Ê⁄UÃÊ•Ê¥ ∑§Ê ÿÊª 25 „Ê ÃÊ, x 1 ÃÕÊ x 2 ∑§ ◊ÊŸ ôÊÊà ∑§ËÁ¡∞–

Classes

flª¸

Frequencies

’Ê⁄¥U’Ê⁄UÃÊ∞¥

1 x 1 5 7 x 2 3 1

  1. Three years ago Sunil’s age was four times his sister Shruti’s age. After 5 years from now, Sunil’s age will be two times Shruti’s age. Find their present age. Find the present age of their father also who was 25 years old when Sunil was born.

ÃËŸ fl·¸ ¬„‹ ‚ÈŸË‹ ∑§Ë •ÊÿÈ •¬ŸË ’„Ÿ üÊÈÁà ∑§Ë •ÊÿÈ ‚ 4 ªÈŸË ÕË– •Ê¡ ‚ 5 fl·¸ ’ÊŒ, ‚ÈŸË‹ ∑§Ë •ÊÿÈ

üÊÈÁà ∑§Ë •ÊÿÈ ‚ ŒÈªÈŸË „ÊªË– ©Ÿ∑§Ë flø◊ÊŸ •ÊÿÈ ôÊÊà ∑§ËÁ¡∞– ©Ÿ∑§ Á¬ÃÊ¡Ë ∑§Ë flø◊ÊŸ •ÊÿÈ ÷Ë ôÊÊÃ

∑§ËÁ¡∞ ¡Ê ‚ÈŸË‹ ∑§ ¡ã◊ ∑§ ‚◊ÿ 25 fl·¸ ∑§ Õ–

‚¥ÅÿÊ