Algebra Model Set 3 on shaalaa.com 2019-2020 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Choose correct alternative for the following question.
For simultaneous equations in variables x and y, D_x = 49, D_y = –63, D = 7 then what is x?

7

– 7

`1/7`

`(-1)/7`

Choose the correct alternative answer for  the following question .

 In an A.P. 1^st term is 1 and the last term is 20. The sum of all terms is = 399 then n = ....

42

38

21

19

Write the correct alternative for the following.

When a registered dealer sells goods to another registered dealer under GST, then this trading is termed as ...

BB

B2B

BC

 B2C

Choose the correct alternative answer for the following question.

There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5 ?

`1/5  `

`3/5 `

`4/5`

`1/3`

Find the value of discriminant of the following equation.

2y² − y + 2 = 0

A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is a spade.

Find the value of following determinant.

`|(-1,7),(2,4)|`

Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 -----(I)
2x − 3y = 12 ----- (II)

Anna Patil (Thane, Maharashtra) supplied vacuum cleaner to a shopkeeper in Vasai (Mumbai) for the taxable value of Rs 14,000, and GST rate of 28%. Shopkeeper sold it to the customer at the same GST rate for Rs16,800 (taxable value) Find the following – 

Amount of CGST and SGST charged by the shopkeeper in Vasai. 

Solve using formula.

5m² – 4m – 2 = 0

A ready-made garment shopkeeper gives 5% discount on the dress of Rs 1000 and charges 5% GST on the remaining amount, then what is the purchase price of the dress for the customer

Form the quadratic equation from the roots given below.

 0 and 4

The following table shows the classification of number of vehicles and their speeds on Mumbai-Pune express way. Find the median of the data.

Solve the following simultaneous equation.

`1/(3x + y) + 1/(3x - y) = 3/4; 1/(2(3x + y))  - 1/(2(3x - y))  = -1/8`

Solve the following quadratic equation by completing the square method.

 2y² + 9y + 10 = 0

Decide whether the following sequence is an A.P., if so find the 20^th term of the progression:

–12, –5, 2, 9, 16, 23, 30, ..............

Shri. Aditya Sanghavi invested Rs 50,118 in shares of FV Rs 100, when the market value is Rs 50. Rate of brokerage is 0.2% and Rate of GST on brokerage is 18%, then How many shares were purchased for Rs 50,118 ?

The table below shows the yield of jowar per acre. Show the data by histogram.

Solve the following equations by Cramer’s method.

`3x  –  2y = 5/2; 1/3x + 3y = -4/3`

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Two water taps together can fill a tank in `9 3/8`hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag

A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.

Solve the following simultaneous equation graphically.
5x – 6y + 30 = 0 ; 5x + 4y – 20 = 0