SSC Board Exam 2024 Math Alg 1 Que Ans
2024 III 13 1100 -N 619- MATHEMATICS (71) ALGEBRA PART I (E)
(REVISED COURSE)
Time: 2 Hours
(Pages 11)
Max. Marks: 40
Note :- (i) All questions are compulsory.
(ii) Use of a calculator is not allowed.
(iii) The numbers to the right of the questions indicate
full marks.
(iv) In case of MCQs [Q. No. 1(A)] only the first attempt
will be evaluated and will be given credit.
1. (A) Choose the correct alternative from given : 4
(i) If 3 is one of the root of the quadratic equation kx2 -
7x + 12 = 0, then k = ...
(A) 1
(B) -1
(C) 3
(D) -3
(ü) To draw the graph of x + 2y = 4, find x when y = = 1:
(A) 1
(B) 2
(C) -2
(D) 6
(iii) For an A.P., t7 = 4, d = -4, then a =
(A) 6
(B) 7.
(C) 20
(D) 28
(iv) In the format of GSTIN, there are alpha-numerals.
(A) 9
(B) 10
(C) 15
(D) 16
(B) Solve the following subquestions :
(i) If 17x + 15y 11 and 15x + 17y 21, then find the value of
xy.
(ii) Find first term of the sequence tn = 3n - 2:
(ii) If the face value of a share is 100 and market value is
150. If rate of brokerage is 2%, find brokerage paid on one share.
(iv) Two digit numbers are formed using digits 2, 3 and 5
without repeating a digit. Write the sample space.
2. (A) Complete the following activities and rewrite it (any
two):
(i) If (0, 2) is the solution of 2x + 3y = k, then to find
the valu of k, complete the following activity:
Activity:
(0, 2) is the solution of the equation 2x + 3y = k. Put x =
2 x and y = + 3 x 2 = k in the given equation;
0+6=k
k =
(ii) If 2 and 5 are the roots of the quadratic equation,
then complete the following activity to form quadratic equation:
Activity :
Let a = 2 and ẞ 5 are the roots of the quadratic equation.
Then quadratic equation is:
x2 (α + β)x + αβ = 0
x² - (2 + x + x 5 = 0
x2-x+=0
(iii) Two coins are tossed simultaneously. Complete the following
activity to write the sample space and the given events A and B in the set
form:
Event A: To get at least one head.
Event B: To get no head.
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