2018-2019 March

Solve any four of the following.

Write the set Q of rational numbers in the property form.

Chapter: [1] Arithmetic Progression

Solve any four of the following.

`|8|+|-3|=?`

Chapter: [1] Arithmetic Progression

Solve any four of the following.

Find the value of `x^4-x^3+5` When `x=-1`

Chapter: [1] Arithmetic Progression

Solve any four of the following.

If x is the geometric mean of 16 and 9, find x.

Chapter: [1] Arithmetic Progression

Solve any four of the following.

Find the value of y in the equation x + y = 12, when x = 5

Chapter: [2] Quadratic Equations

Solve any four of the following.

Write the dates of start and end of a financial year in our country.

Chapter: [6] Financial Planning

Solve any two of the following.

In some families in a colony the daily purchase of milk in litre is 1, 3, 2, 2, 4, 1, 2, 2, 1. Find the mean, median and mode of daily purchase of milk.

Chapter: [1] Arithmetic Progression

Solve any two of the following.

If a : b = 7 : 2, find the ratios (i)` b : a` (ii) `(a+b)/b`

Chapter: [1] Arithmetic Progression

Solve any two of the following.

Solve : `3x+y=14 ; x-y=2`

Chapter: [2] Quadratic Equations

Select the correct alternative and write it.

What is the solution of the quadratic equation` 2x^2-7x+6=0`

(A) `-3/2,2`

(B)` 3/2,2`

(C) `-2,3/2`

(d)` 2,2/3`

Chapter: [2] Quadratic Equations

Select the correct alternative and write it.

What is the sum of first n natural numbers ?

(A)` (n(n-1))/2`

(B)`n/2(n-2)`

(c)` n(n+1)/2`

(D) `(n(n+2))/2`

Chapter: [1] Arithmetic Progression

Select the correct alternative and write it.

If a share is at premium, then -

(A) Market value > Face value

(B) Market value = Face value

(C) Market value < Face value

(D) Market value ≤ Face value

Chapter: [1] Arithmetic Progression

Select the correct alternative and write it.

What is the degree of the determinant `|[a ,b],[c,d]|`

(A) 1

(B) 3

(C) 4

(D) 2

Chapter: [3] Linear equations in two variables

Solve any two of the following.

If two coins are tossed simultaneously, find the probability of getting a head on both the coins.

Chapter: [4] Probability

Solve any two of the following.

Find the mean of the data given in the following table.

Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |

Frequency | 6 | 4 | 5 | 7 | 3 |

Chapter: [1] Arithmetic Progression

Solve any two of the following.

Form a quadratic equation whose roots are 4 and -12.

Chapter: [2] Quadratic Equations

The following table shows the blood-groups of employees in a bank.

Event C is : ‘the blood-group of an employee is AB.’

Blood - group | A | B | AB | 0 |

No. of employees | 20 | 40 | 15 | 25 |

If an employee is chosen at random, what is the probability that his blood-group is AB ?

Fill in the following boxes and find the answer

n(S)= ______

n(C)= ______

p(C)=________=_________

Chapter: [4] Probability

The first term and the common difference of an A.P. is 10 and 5 respectively. Complete the following activity to find the sum of first 30 terms of the A. P.

`S_n=n/2[ ____+(n-1)d ]`

`∴ s_30=30/2[20+(30-1)xx _____ ]`

=`15[20+________]`

=`15xx165`

=_________

Chapter: [1] Arithmetic Progression

Complete the following table to draw the graph of 3x - y = 2

x | ________ | -1 |

y | 1 | _______ |

(x,y) | ________ | _______ |

Chapter: [3] Linear equations in two variables

Prasad purchased a share of face value Rs. 100 when its market price was Rs. 150. Company declared a dividend of 12% on the share. What was the rate of return on the investment Prasad made ?

Chapter: [6] Financial Planning

The` "n"^(th)` term of the A. P. 3, 8, 13, 18, ............ is 148. Find n

Chapter: [1] Arithmetic Progression

Solve the following simultaneous equations by Cramer's method.

`x+y=7,2x-3y=9`

Chapter: [3] Linear equations in two variables

If α and β are the roots of the quadratic equation `x^2 - 4x - 6 = 0`, find the values of (i) `α^2+β^2` (ii) `α^3+β^3`

Chapter: [2] Quadratic Equations

The sum of third and seventh term of an A. P. is 6 and their product is 8. Find the first term and the common difference of the A. P.

Chapter: [1] Arithmetic Progression

A survey was conducted in Aadarsh Vidyalaya to know the inclication of students towards different subjects. The data obtained is presented by the adjacent pie diagram. If the total number of students was 500, answer the following questions.

(i) How many students show inclination towards mathematics ?

(ii) How many students are inclined towards social sciences ?

(iii) How many more students are inclined towards languages than

science ?

Chapter: [1] Arithmetic Progression

The sum of a two digit number and the number obtained by reversing its digits is 121. Find the number if its units place digit is greater than the tens place digit by 7.

Chapter: [3] Linear equations in two variables

The distance between Akola and Bhusawal is 168 km. An express train takes 1 hour less than a passenger train to cover the distance. Find the average speed of each train if the average speed of the express train is more by 14 km/hr than the speed of the passenger train.

Chapter: [2] Quadratic Equations

The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram.

Class-mark of marks | 325 | 375 | 425 | 475 | 525 | 575 |

No. of students | 25 | 35 | 45 | 40 | 32 | 20 |

Chapter: [5] Statistics

A bag contains in all 50 balls. Some of them are white, some are blue and some are red. The number of white balls is 11 times the number of blue balls. The number of red balls is less than the number of white balls. Also, the number of red balls is more than the number of blue balls. If one of the balls is selected at random from the bag, what is the probability that it is red ?

Chapter: [4] Probability

There are three dealers A, B and C in Maharashtra. Suppose, the trade of each of them in september 2018 was as shown in the following table.

The rate of GST on each transaction was 5%.

Read the table and answer the questions below it.

Dealer |
GSTcollectedon the sale |
GST paid at the time ofpurchase |
ITC |
Tax paidto theGovt. |
Taxbalancewith theGovt. |

A | Rs.5000 | Rs. 6000 | Rs. 5000 | Rs. 0 | Rs. 1000 |

B | Rs 5000 | Rs. 4000 | Rs. 4000 | Rs. 1000 | Rs. 0 |

C | Rs.5000 | Rs. 5000 | Rs. 5000 | Rs. 0 | Rs. 0 |

(i) How much amount did the dealer A get by sale ?

(ii) For how much amount did the dealer B buy the articles ?

(iii) How much is the balance of CGST and SGST left with the government that was paid by A ?

Chapter: [5] Statistics

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