Question Paper - Algebra 2014 - 2015-S.S.C-Board Exam Maharashtra State Board (MSBSHSE)

Account
Register

Share

Books Shortlist
SubjectAlgebra
Year2014 - 2015 (March)

Marks: 40
Q: 1 | Attempt any five question from the following:[5]
Q: 1.1[1]

State whether the following sequence is an A.P. or not?

1, 4, 7, 10, ………………..

view solution
Q: 1.2[1]

A card is drawn from the pack of 25 cards labeled with numbers 1 to 25. Write the sample space for this random experiment.

view solution
Q: 1.3[1]

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

view solution
Q: 1.4[1]

For a sequence if n S_n=n/(n+1) then find the value of S10.

view solution
Q: 1.5[1]

Verify whether 1 is the root of the quadratic equation :

x^2+3x-4=0

view solution
Q: 1.6[1]

If x + y = 5 and x = 3, then find the value of y.

view solution
Q: 2 | Attempt any four sub-questions from the following:[8]
Q: 2.1[2]

Solve the following quadratic equation by factorization method :

x^2-5x+6=0

view solution
Q: 2.2[2]

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

view solution
Q: 2.3[2]

If the point A(3, 2) lies on the graph of the equation 5x + ay = 19, then find a.

view solution
Q: 2.4[2]

A die is thrown. If A is the event that the number on upper face is less than 5, then write sample space and event A in set notation.

view solution
Q: 2.5[2]

For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.

view solution
Q: 2.6[2]

If one root of the quadratic equation kx2 – 7x + 12 = 0 is 3, then find the value of k.

view solution
Q: 3 | Attempt any three of the following sub questions:[9]
Q: 3.1[3]

Area under different crops in a certain village is given below. Represent it by a pie diagram :

 Corps Area (in Hectares) Jowar 80 Wheat 20 Sugarcane 60 Vegetables 20
view solution
Q: 3.2[3]

If two coins are tossed, then find the probability of the event that at least one head turns up.

view solution
Q: 3.3[3]

Solve the following simultaneous equations by using graphical method :
x + y = 6;
x – y = 4.

view solution
Q: 3.4[3]

There is an auditorium with 35 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the twenty-fifth row.

view solution
Q: 3.5[3]

Solve the following quadratic equation by completing square method :

x2 + 10x + 21 = 0.

view solution
Q: 4 | Attempt any two sub-questions from the following:[8]
Q: 4.1[4]

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.

view solution
Q: 4.2[4]

The following table shows ages of 3000 patients getting medical treatment in a hospital on a particular day :

 Age (in years) No. of Patients 10-20 60 20-30 42 30-40 55 40-50 70 50-60 53 60-70 20

Find the median age of the patients.

view solution
Q: 4.3[4]

If α + β = 5 and α33 = 35, find the quadratic equation whose roots are α and β.

view solution
Q: 5 | Attempt any two of the following sub questions:[10]
Q: 5.1[5]

Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 instlments, each instalment being less than the preceding instalment by Rs. 10.
What should be the first and the last instalments?

view solution
Q: 5.2[5]

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.

view solution
Q: 5.3[5]

Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:

 Speed (in km/hr) No. of Students 20-30 6 30-40 80 40-50 156 50-60 98 60-70 60

Draw Histogram and hence the frequency polygon for the above data.

view solution
S