# Algebra Set 1 2019-2020 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Algebra [Set 1]
Date & Time: 12th March 2020, 11:00 am
Duration: 2h
1. All questions are compulsory.
2. Use of calculator is not allowed.
3. The numbers to the right of the questions indicate full marks.
4. In case of MCQ’s Q. No. 1(A) only the first attempt will be evaluated and will be given credit.
5. For every MCQ, the correct alternative (A), (B), (C) or (D) of answers with subquestion number is to be written as an answer.

[8] 1
[4] 1.A | For every subquestion 4 alternative answers are given. Choose the correct answer and write the alphabet of it:
[1] 1.A.i

Write the correct alternative for the following.

In the format of GSTIN there are ____________ alpha-numerals.

15

10

16

9

Concept: GST - Introduction
Chapter: [0.04] Financial Planning
[1] 1.A.ii

From the following equations, which one is the quadratic equation?

5/"x" = 3 = "x"^2

x(x + 5) = 4

n – 1 = 2n

1/"x"^2("x" + 2) = "x"

[1] 1.A.iii

Choose correct alternative for the following question.
For simultaneous equations in variables x and y, D= 49, Dy = –63, D = 7 then what is x ?

7

-7

1/7

(-1)/7

Concept: Determinant of Order Two
Chapter: [0.01] Linear equations in two variables
[1] 1.A.iv

Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) =1/5, then n(S) = ?

10

5/2

2/5

1/3

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability
[4] 1.B | Solve the following subquestions:
[1] 1.B.i

Find second and third terms of an A.P. whose first term is – 2 and the common difference is – 2.

Concept: Sum of First n Terms of an AP
Chapter: [0.03] Arithmetic Progression
[1] 1.B.ii

‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST?

Concept: GST - Tax Invoice
Chapter: [0.04] Financial Planning
[1] 1.B.iii

Find the values of a and b from the quadratic equation 2x2 – 5x + 7 = 0.

[1] 1.B.iv

If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.

Concept: Pair of Linear Equations in Two Variables
Chapter: [0.01] Linear equations in two variables
[12] 2
[4] 2.A | Complete and write any TWO activities from the following:
[2] 2.A.i

Complete the following table to draw the graph of 2x – 6y = 3:

 x −5 square y square 0 (x, y) square square
Concept: Graphical Method of Solution of a Pair of Linear Equations
Chapter: [0.01] Linear equations in two variables
[2] 2.A.ii
First-term and the common differences of an A.P. are 6 and 3 respectively; find S27.
Solution:
First term = a = 6 , common difference = d = 3, S27 = ?
Sn = $\frac n2 [\Box + (n-1) d ]$
S27 =  27/2 [12 + (27 - 1)$\Box ]$
=27/2 ×$\Box$
=27 ×45 = $\Box$
Concept: Sum of First n Terms of an AP
Chapter: [0.03] Arithmetic Progression
[2] 2.A.iii

A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.

Solution:

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = square hearts + 13 diamonds

∴ n(A) = square

∴ p(A) = square/("n"("s"))   ....formula

∴ p(A) = 26/52

∴ p(A) = square

Concept: Type of Event - Complementry
Chapter: [0.05] Probability
[8] 2.B | Solve any FOUR subquestions from the following:
[2] 2.B.i

Find the value of the determinant:

[(7/3,5/3),(3/2,1/2)]

Concept: Determinant of Order Two
Chapter: [0.01] Linear equations in two variables
[2] 2.B.ii

Solve the quadratic equation by factorisation method:

x2 - 15x + 54 = 0

Concept: Solutions of Quadratic Equations by Factorization
[2] 2.B.iii

Decide whether following sequence is an A.P., if so find the 20th term of the progression.
–12, –5, 2, 9, 16, 23, 30,...

Concept: General Term of an Arithmetic Progression
Chapter: [0.03] Arithmetic Progression
[2] 2.B.iv

A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number ?

Concept: Sample Space
Chapter: [0.05] Probability
[2] 2.B.v

Find the mode from the following information:

L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.

Concept: Mode of Grouped Data
Chapter: [0.06] Statistics
[9] 3
[3] 3.A | Complete and write any ONE activity from the following:
[3] 3.A.i
 Age group (in years) No. of Persons Measure of central angle 20 - 25 80 square/200 xx 300 = square 25 - 30 60 60/200 xx 360 = square 30 - 35 35 35/200 xx square = 63^circ 35 - 40 25 25/200 xx 360 = square Total 200 square
Concept: Concept of Pie Graph (Or a Circle-graph)
Chapter: [0.06] Statistics [0.06] Statistics
[3] 3.A.ii

Shri Shantilal has purchased 150 shares of FV ₹ 100, for MV of ₹ 120, Company has paid dividend at 7%, then to find the rate of return on his investment, complete the following activity:

Solution: FV = ₹ 100; Number of shares = 150

Market value = ₹ 120

1. Sum investment = MV × No. of Shares

= square xx square

∴ Sum investment = ₹ 18,000

2. Dividend per share = FV × Rate of dividend

= square xx square/100

= ₹ 7

∴ Total dividend received = 150 × 7

= square

3. Rate of return = "Dividend income"/"Sum inve ted" xx 100

= 1050/18000 xx 100

= square

Concept: Comparison of FV and MV
Chapter: [0.04] Financial Planning
[6] 3.B | Attempt any two subquestions from the following:
[3] 3.B.i

A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a red balloon

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability

A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a blue balloon

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability
[3] 3.B.ii

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Concept: Linear Equations in Two Variables
Chapter: [0.01] Linear equations in two variables
[3] 3.B.iii

A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.

 Milk Sold (Litre) 1 - 2 2 - 3 3 - 4 4 - 5 5 - 6 No. of Customers 17 13 10 7 3
Concept: Tabulation of Data
Chapter: [0.06] Statistics
[3] 3.B.iv

In an A.P. sum of three consecutive terms is 27 and their products is 504. Find the terms.
(Assume that three consecutive terms in an A.P. are a – d, a, a + d.)

Concept: Sum of First n Terms of an AP
Chapter: [0.03] Arithmetic Progression
[8] 4 | Attempt any two subquestions from the following:
[4] 4.A

Represent the following data by histogram:

 Price of Sugar (per kg in ₹) Number of Weeks 18 – 20 4 20 – 22 8 22 – 24 22 24 – 26 12 26 – 28 6 28 – 30 8
Concept: Graphical Representation of Data as Histograms
Chapter: [0.06] Statistics [0.06] Statistics
[4] 4.B

One person borrows ₹ 4,000 and agrees to repay with a total interest of ₹ 500 in 10 instalments. Each instalment being less than the preceding instalment by ₹ 10. What should be the first and the last instalments?

Concept: Arithmetic Progression
Chapter: [0.03] Arithmetic Progression
[4] 4.C

The sum of the areas of two squares is 400 sq.m. If the difference between their perimeters is 16 m, find the sides of two squares.

Concept: Solutions of Quadratic Equations by Completing the Square
[3] 5 | Attempt any one subquestion from the following:
[3] 5.A

Convert the following equations into simultaneous equations and solve:

sqrt("x"/"y") = 4, 1/"x" + 1/"y" = 1/"xy"

Concept: Roots of a Quadratic Equation
[3] 5.B

A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.

Concept: Solutions of Quadratic Equations by Factorization

#### Request Question Paper

If you dont find a question paper, kindly write to us

View All Requests

#### Submit Question Paper

Help us maintain new question papers on Shaalaa.com, so we can continue to help students

only jpg, png and pdf files

## Maharashtra State Board previous year question papers 10th Standard Board Exam Algebra with solutions 2019 - 2020

Maharashtra State Board 10th Standard Board Exam question paper solution is key to score more marks in final exams. Students who have used our past year paper solution have significantly improved in speed and boosted their confidence to solve any question in the examination. Our Maharashtra State Board 10th Standard Board Exam question paper 2020 serve as a catalyst to prepare for your Algebra board examination.
Previous year Question paper for Maharashtra State Board 10th Standard Board Exam -2020 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.
By referring the question paper Solutions for Algebra, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of Maharashtra State Board 10th Standard Board Exam.

How Maharashtra State Board 10th Standard Board Exam Question Paper solutions Help Students ?
• Question paper solutions for Algebra will helps students to prepare for exam.
• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.
• For finding solution of question papers no need to refer so multiple sources like textbook or guides.