2018-2019 March

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

Concept: Arithmetic Progression Examples and Solutions

Simplify `sqrt(50)`

Concept: Sum of First n Terms of an AP

Write a trinomial of degree 7.

Concept: Arithmetic Progression Examples and Solutions

Convert 15 : 20 into percentage.

Concept: Quadratic Equations Examples and Solutions

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

Concept: Quadratic Equations Examples and Solutions

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

Concept: Arithmetic Progression Examples and Solutions

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.

Concept: Mean of Grouped Data

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

month. Find the amount sent to her per month.

Concept: Inconsistency of Pair of Linear Equations

If P(y) = y² - 2y + 5, find P(2) .

Concept: Quadratic Equations Examples and Solutions

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

Concept: Roots of a Quadratic Equation

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

(A) -75

(B) -125

(C) 75

(D) 125

Concept: Sum of First n Terms of an AP

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

(A)15

(B) 10

(C) 16

(D) 9

Concept: GST - Introduction

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

Concept: Cramer'S Rule

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.

Concept: Probability Examples and Solutions

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 |

Concept: Graphical Representation of Histograms

The market price of share is Rs. 200 and the rate of brokerage is 0.3%.

Find the cost of one such share.

Concept: Shares

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

x | 0 | |

y | 0 | |

(x, y) |

Concept: Graphical Method of Solution of a Pair of Linear Equations

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`

t_{n} = a + (n-1) d

∴ 149 =`[ ] ∴149 = 2n - [ ]`

∴ n =`[ ]`

Concept: Sum of First n Terms of an AP

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) = ............

Concept: Probability Examples and Solutions

Solve : 5m² - 22m-15 = 0

Concept: Arithmetic Progression Examples and Solutions

3x - 4y = 10 , 4x + 3y = 5 find the values of Dx and Dy to solve

the simultaneous equations by Cramer’s method

Concept: Cramer'S Rule

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.

Concept: Arithmetic Progression

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

value α² + β²

Concept: Roots of a Quadratic Equation

How many three digit natural numbers are divisible by 5?

Concept: Introduction to Sequence

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 |

Concept: Histograms

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

Concept: Sample Space

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.

Concept: Arithmetic Progression Examples and Solutions

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 |

Concept: Median of Grouped Data

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%.

Concept: Types of Taxes Under GST

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.

Concept: Introduction of System of Linear Equations in Two Variables

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## Maharashtra State Board previous year question papers 10th Algebra with solutions 2018 - 2019

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