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Question Paper Solutions for Algebra Balbharati Model Question Paper Set 2 2018-2019 SSC (Marathi Semi-English) 10th

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Algebra
Balbharati Model Question Paper Set 2
2018-2019 March
Marks: 40

[8]1
[4]1.1 | Solve any four of the following.
[1]1.1.1

A = {1, 2, 3,4, 5}, B = {5, 6, 7} write AUB .

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression Examples and Solutions
[1]1.1.2

Simplify `sqrt(50)`

Chapter: [1] Arithmetic Progression
Concept: Sum of First n Terms of an AP
[1]1.1.3

Write a trinomial of degree 7.

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression Examples and Solutions
[1]1.1.4

Convert 15 : 20 into percentage.

Chapter: [2] Quadratic Equations
Concept: Quadratic Equations Examples and Solutions
[1]1.1.5

If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y. 

Chapter: [2] Quadratic Equations
Concept: Quadratic Equations Examples and Solutions
[1]1.1.6

Write the lower and the uppper class limit of 35 to 40

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression Examples and Solutions
[4]1.2 | Solve any two of the following.
[2]1.2.1

The yield of soyabean per acre in the farm of Mukund for 7 years was 10,7,5,3,9,6,9 quintal. Find the mean of yield per acre. 

Chapter: [5] Statistics
Concept: Mean of Grouped Data
[2]1.2.2

Alka spends 90 % of the amount sent to her and saves Rs. 120 per
month. Find the amount sent to her per month.

Chapter: [3] Linear equations in two variables
Concept: Inconsistency of Pair of Linear Equations
[2]1.2.3

If P(y) = y² - 2y + 5, find P(2) .

Chapter: [2] Quadratic Equations
Concept: Quadratic Equations Examples and Solutions
[8]2
[4]2.1 | Select the correct alternative answer and write it.
[1]2.1.1

If the roots of x² + kx + k = 0 are real and equal, what is the value of k?

(A) 0

(B) 4

(C) 0 or 4

(D) 2

Chapter: [2] Quadratic Equations
Concept: Roots of a Quadratic Equation
[1]2.1.2

What is the sum of first 10 terms of the A. P. 15,10,5,........?

(A) -75

(B) -125

(C) 75

(D) 125

Chapter: [1] Arithmetic Progression
Concept: Sum of First n Terms of an AP
[1]2.1.3

How many alpha numerals are there in the GSTIN of a registered dealer ?

(A)15

(B) 10

(C) 16

(D) 9

Chapter: [6] Financial Planning
Concept: GST - Introduction
[1]2.1.4

What is the value of D if the equations x + y =3 ; 3x -2y =4 are solved by
Cramer’s method.

(A)5

(B) 1

(C) -5

(D) -1

Chapter: [3] Linear equations in two variables
Concept: Cramer'S Rule
[4]2.2 | Solve any two of the following.
[2]2.2.1

A card is drawn at random from a well shuffled pack of 52 playing cards.
Find the probability that the card drawn is a spade.

Chapter: [4] Probability
Concept: Probability Examples and Solutions
[2]2.2.2

The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

Age group (Years) 20-25 25-30 30-35 35-40
No of persons 80 60 35 25
Chapter: [5] Statistics
Concept: Graphical Representation of Histograms
[2]2.2.3

The market price of share is Rs. 200 and the rate of brokerage is 0.3%.
Find the cost of one such share.

Chapter: [6] Financial Planning
Concept: Shares
[8]3
[4]3.1 | Carry out any two of the following activities.
[2]3.1.1

Complete the following table to draw the graph of the equation x - y = 1

x 0  
y   0
(x, y)    
Chapter: [3] Linear equations in two variables
Concept: Graphical Method of Solution of a Pair of Linear Equations
[2]3.1.2

Fill up the boxes and find out the number of terms in the A.P.
1,3,5,....,149 .

Here a = 1 , d =b`[    ], t_n = 149`

tn = a + (n-1) d 

∴ 149 =`[  ]     ∴149 = 2n -  [  ]`
∴ n =`[  ]`

 

Chapter: [1] Arithmetic Progression
Concept: Sum of First n Terms of an AP
[2]3.1.3

In a class of 42 students in Model High School, 3 students use spectacles.
Fill in the following boxes to find the probability of a students selected
at random is wearing sepctacles.
The total number of students in the class is 42.
∴n(S) =   ...... ,
Let the event, a student uses spectacles, be A.
∴ n(A) = ...........
∴ P(A) =   ............ ∴ P(A) = ............ 

Chapter: [4] Probability
Concept: Probability Examples and Solutions
[4]3.2 | Solve any two of the following.
[2]3.2.1

Solve : 5m² - 22m-15 = 0

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression Examples and Solutions
[2]3.2.2

3x - 4y = 10 , 4x + 3y = 5 find the values of Dx and Dy to solve
the simultaneous equations by Cramer’s method

Chapter: [3] Linear equations in two variables
Concept: Cramer'S Rule
[2]3.2.3

The first term and the common difference of an A. P. is 10,000 and
2000 resectively. Find the sum of first 12 terms of the A.P.

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression
[9]4 | Solve any three of the following.
[3]4.1

If α and β are the roots of the quadratice equation x²- 2x - 7= 0, find the
value α² + β²

Chapter: [2] Quadratic Equations
Concept: Roots of a Quadratic Equation
[3]4.2

How many three digit natural numbers are divisible by 5?

Chapter: [1] Arithmetic Progression
Concept: Introduction to Sequence
[3]4.3

The following table shows the investment made by some families. Show
the information by a histogran. 

Investment
(Thousand Rupees)
10-15 15-20 20-25 25-30 30-35
No. of families 30 50 60 55 15

 

 

Chapter: [5] Statistics
Concept: Histograms
[3]4.4

A two digit number is to be formed from the digits 0,1,2,3,4,
without repetition of the digits. Find the probability that the number so
formed is a prime number

Chapter: [4] Probability
Concept: Sample Space
[4]5 | Solve any one of the following.
[4]5.1

Yogesh requires 3 days more than Vivek to do a work completely. If both
of them work together, the work can be completed in 2 days. Find the
number of days required for each of them to do the work completely.

Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression Examples and Solutions
[4]5.2

The following table shows the number of patients of different age groups admitted to a hospital for treatment on a day. Find the median of ages of the patients.

Age- group (Yrs.) 10-20 20-30 30-40 40-50 50-60 60-70
No. of patients 40 32 35 45 33 15

 

Chapter: [5] Statistics
Concept: Median of Grouped Data
[3]6 | Solve any one of the following.
[3]6.1

Krishna Electricals had bought a TV from a wholesaler at Rs 36000.
The marked price on it in Krishna Electricals was Rs. 50000. If it was
sold to Kalyan Deshmukh at 10% discount, calculate the input GST
and output GST for Krishna Electricals if the rate of GST is 18%.

Chapter: [6] Financial Planning
Concept: Types of Taxes Under GST
[3]6.2

Construct a word problem on simultaneous linear equations in two
variables so that the value of one of the variables will be 10 (persons, rupees, metres, years etc.) and solve it.

Chapter: [3] Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

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