Algebra Balbharati Model Question Paper Set 2 2018-2019 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

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

Simplify `sqrt(50)`

Write a trinomial of degree 7.

Convert 15 : 20 into percentage.

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

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

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. 

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

If P(y) = y² - 2y + 5, find P(2) .

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

 0

4

0 or 4

 2

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

(A) -75

(B) -125

(C) 75

(D) 125

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

(A)15

(B) 10

(C) 16

(D) 9

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

5

 1

-5

 -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.

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.

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

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

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 =`[  ]`

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) = ............ 

Solve : 5m² - 22m-15 = 0

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

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.

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

How many three digit natural numbers are divisible by 5?

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

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

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.

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.

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%.

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.