Algebra Model Set 4 on shaalaa.com 2019-2020 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Find the value of `|(5,3),(-7,-4)|`.

–1

–41

41

1

Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?

`x^2 + 4x = 11 + x^2`

`x^2 = 4x`

`5x^2 = 90`

`2x - x^2 = x^2 + 5`

Write the correct alternative for the following.

The tax levied by the central government for trading within state is ...

 IGST

 CGST

 SGST

UTGST

Which number cannot represent a probability?

`2/3` 

1.5 

15%

0.7

`15/10`

For the following experiment write sample space ‘S’ and number of sample points n(S).

One coin and one die are thrown simultaneously.

Draw a histogram of the following data.

Is the following sequences are A.P.? If is A.P. find the common difference.

0, –4, –8, –12,...

‘Tiptop Electronics’ supplied an AC of 1.5 ton to a company. Cost of the AC supplied is Rs 51,200 (with GST). Rate of CGST on AC is 14%. Then find the following amounts as shown in the tax invoice of Tiptop Electronics. 

(3) Taxable value of AC

Solve the following word problem.

To find number of notes that Anushka had, complete the following activity.

Determine whether the values given against the quadratic equation are the roots of the equation.

x² + 4x – 5 = 0 , x = 1, –1

Solve the following simultaneous equation.

x + 7y = 10; 3x – 2y = 7

Determine whether the values given against the quadratic equation are the roots of the equation.

2m² – 5m = 0, m = 2, `5/2`

The production of electric bulbs in different factories is shown in the following table. Find the median of the productions.

Consider the following distribution of daily wages of 50 workers of a factory:

Find the mean daily wages of the workers of the factory by using an appropriate method.

Solve the following simultaneous equations.

`1/(2(3x + 4y)) + 1/(5(2x - 3y)) = 1/4; 5/(3x + 4y) - 2/(2x - 3y) = (-3)/2`.

The Sum of squares of 2 consecutive natural even numbers is 244; find the numbers.

There are 37 terms in an A.P., the sum of three terms placed exactly at the middle is 225 and the sum of last three terms is 429. Write the A.P.

Smt. Anagha Doshi purchased 22 shares of FV ₹ 100 for Market Value of ₹ 660. Find the sum invested. After taking 20% dividend, she sold all the shares when market value was ₹ 650. She paid 0.1% brokerage for each trading done. Find the percent of profit or loss in the share trading.
(Write your answer to the nearest integer).

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

The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.

(1) If the investment in shares is ₹ 2000, find the total investment.
(2) How much amount is deposited in the bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?

The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another bat and 3 more balls of the same kind for Rs 1300. Represent this situation algebraically and geometrically.

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Smt. Mita Agrawal invested ₹ 10,200 when MV of the share is ₹ 100. She sold 60 shares when the MV was ₹ 125 and sold remaining shares when the MV was ₹ 90. She paid 0.1% brokerage for each trading. Find whether she made profit or loss? and how much?

In a hockey team, there are 6 defenders, 4 offenders, and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – The goalee will be selected.