Algebra Shaalaa.com Model Set 1 2019-2020 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Find the correct answer from the alternatives given.

The persons of O - blood group are 40%. The classification of persons based on blood groups is to be shown by a pie diagram. What should be the measures of angle for the persons of O - blood group?

114°

140°

104°

144°

Choose the correct alternative answer for the following question.

 What is the probability of the event that a number chosen from 1 to 100 is a prime number ?

`1/5  `

`6/25 `

` 1/4`

`13/50` 

Choose the correct alternative answer for  the following question .
The sequence –10, –6, –2, 2,...

is an A.P.,Reason d = -16

is an A.P Reason d = 4

is an A.P.,Reason d = -4

is not an A.P.

Write the correct alternative for the following questions.

 Rate of GST on brokerage is ...

5%

 12%

18%

 28%

Write the quadratic equation whose roots are ‒2 and ‒3.

If `sumf_ix_i=75 and sumfi=15` , then find the mean x .

Fill in the blanks with correct number\[\begin{vmatrix}3 & 2 \\ 4 & 5\end{vmatrix}\] = 3 x ____ - ____ x 4 = ____ - 8 = ____

Write the sample space for selecting a day randomly of the week.

If 12x +13y =29 and 13x +12y=21, find x + y.

Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0`

Find the term t15 of an A.P. : 4, 9, 14, …………..

Find the value of k for which the given simultaneous equations have infinitely many solutions:
kx + 4y = 10;
3x + 2y = 5.

Solve the following quadratic equation by factorization method : `x^2-5x+6=0`

State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......

For a certain frequency distribution, the value of mean is 20 and mode is 11. Find the value of median.

For a certain frequency distribution, the values of mean and median are 72 and 78 respectively. Find the value of mode.

How many three digit natural numbers are divisible by 5?

The market value of a mutual fund is 400 crore rupees. Which is divided into 8 crore units.

(a) Suppose you invest Rs. 10,000 in the units, how many units will you get ?
(b) While selling the units if their market value is increased by 10%, how much amount will you get by selling them ?

The measurements (in mm) of the diameters of the head of the screws are given below:

Calculate mean diameter of head of a screw by ‘Assumed Mean Method’.

Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.

P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.

The marks scored by students in Mathematics in a certain Examination are given below:

Draw histogram for the above data.

In a certain race, there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of win for each boy.

Solve the following simultaneous equations: `7/(2X+1)+13/(Y+2)=27,13/(2X+1)+7/(Y+2)=33`

The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.

Smt. Malhotra purchased solar panels for the taxable value of Rs. 85,000. She sold them for Rs. 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?

On the first day of the sale of tickets of a drama, in all 35 tickets were sold. If the rates tickets were Rs. 20 and Rs. 40 per ticket and the total collection was Rs, 900, find the number of tickets sold of each rate.

Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`