Algebra Set A 2016-2017 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

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

If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.

There are 15 tickets bearing the numbers from 1 to 15 in a bag and one ticket is drawn from this bag at random. Write the sample space (S) and n(S).

Find the class mark of the class 35 - 39.

Write the next two terms of A.P. whose first term is 3 and the common difference is 4.

Find the values of a, b, c for the quadratic equation 2x₂ = x + 3 by comparing with standard form ax² + bx + c = 0.

Find the first two terms of the sequence for which S_n is given below: `S_n=n^2(n+1)`

Find the value of discriminant (Δ) for the quadratic equation: `x^2+7x+6=0`

Write the equation of X-axis. Hence, find the point of intersection of the graph of the equation x + y = 5 with the X-axis.

For a certain frequency distribution, the values of Assumed mean (A) = 1300, `sumf_id_i` = 900 and `sumfi` = 100. Find the value of mean (`barx`) .

Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’

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

How many three digit natural numbers are divisible by 5?

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

Solve the following simultaneous equations by using Cramers’s rule: 3x-y =7, x +4y =11

Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Three horses A, B and C are in a race, A is twice as likely to win as B and B is twice as likely to win as C. What are their probabilities of winning?

The following is the distribution of the size of certain farms from a taluka (tehasil):

Find median size of farms.

The following pie diagram represents the sectorwise loan amount in crores of rupees distributed by a bank. From the information answer the following questions :

a. If the dairy sector receives `20 crores, then find the total loan disbursed.
b. Find the loan amount for agriculture sector and also for industrial sector.
c. How much additional amount did industrial sector receive than agriculture sector?

If the cost of bananas is increased by Rs. 10 per dozen, one can get 3 dozen less for Rs.600. Find the original cost of one dozen of bananas.

If the sum of first p terms of an A.P. is equal to the sum of first q terms then show that the sum of its first (p + q) terms is zero. (p ≠ q)

Solve the following simultaneous equations

`1/(3x)-1/(4y)+1=0`;

`1/(5x)+1/(2y)=4/15`