Time 2 hr 15 mins
MATHEMATICS TEST -03
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this Paper is the time allowed for writing the
answers.
Attempt all questions from Section A and any four questions from Section B.
All working, including rough work, must be clearly shown and must be done on
the same
sheet as the rest of the answer.
Omission of essential working will result in loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
SECTION A (40 Marks)
(Attempt all questions from this Section.)
Q1.) MCQ
a.) If the rate of GST reduces by 4%, the selling price of an article comes
down by Rs 100. Find the marked price of the article.
I.) 2200 ii.) 2400 iii.) 2600 iv.) 2500
b.) The value of k for which the quadratic equation kx2-2x+7=0 has real
and unequal roots is :
I.) k=1/7 ii.) k<1/7 iii.) k>1/7 iv.) k>-1/7
c.) Mr Bittu deposits a certain sum of money each month in a recurring
deposit account. If the rate of interest is 8% per annum and Mr Bittu gets
Rs:8,088 from the bank after 3 years. Find the value of his monthly
instalment.
I.) 400 ii.) 300 iii.) 200 iv.) 100
d.) n the given figure AOBis the diameter and . If , find
in terms of , the values of: (i) (ii) (iii) (iv)
, I.) I.2x ii. 180-4x iii.) 90-2x iv 90+x ii.) I.2x ii. 180-4x iii.) 90-9x iv 90+x
iii.) I.2x ii. 180-6x iii.) 90-2x iv 90+x iv.) I.2x ii. 180-4x iii.) 90-2x iv 90+2x
0 - 9x
e.) Find the solution set of 2/3 + 1/3(x + 1) > 0, where x is a negative
integer. Represent the solution on given number line.
I.) {-1,-2} ii.) {-1,-3} iii.) {-2,-3} iv.) {-1,-5}
f.) The point P(a,b)is invariant , when reflected in origin. The value of a
and b is :
I.) (0,0) ii.) (0,2) iii.) (3,0) iv.) (-1,-1)
g.) Find the ratio in which the line segment joining the points P(3, −3)
and Q(−2, 7) is divided by the x-axis. Also, find the coordinates of the
point of division
I.) 4:1 (½,3) ii.) None of these iii.) 1:2 (½,3) iv.) 3:7( 3/2,0)
h.) Which of the following is not an Arithmetic Progression?
I.) 1.6, 1.54, 1.48,....… ii.) none of these iii.) 11, 2,11….. iv.) 30,19,8….
MATHEMATICS TEST -03
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this Paper is the time allowed for writing the
answers.
Attempt all questions from Section A and any four questions from Section B.
All working, including rough work, must be clearly shown and must be done on
the same
sheet as the rest of the answer.
Omission of essential working will result in loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
SECTION A (40 Marks)
(Attempt all questions from this Section.)
Q1.) MCQ
a.) If the rate of GST reduces by 4%, the selling price of an article comes
down by Rs 100. Find the marked price of the article.
I.) 2200 ii.) 2400 iii.) 2600 iv.) 2500
b.) The value of k for which the quadratic equation kx2-2x+7=0 has real
and unequal roots is :
I.) k=1/7 ii.) k<1/7 iii.) k>1/7 iv.) k>-1/7
c.) Mr Bittu deposits a certain sum of money each month in a recurring
deposit account. If the rate of interest is 8% per annum and Mr Bittu gets
Rs:8,088 from the bank after 3 years. Find the value of his monthly
instalment.
I.) 400 ii.) 300 iii.) 200 iv.) 100
d.) n the given figure AOBis the diameter and . If , find
in terms of , the values of: (i) (ii) (iii) (iv)
, I.) I.2x ii. 180-4x iii.) 90-2x iv 90+x ii.) I.2x ii. 180-4x iii.) 90-9x iv 90+x
iii.) I.2x ii. 180-6x iii.) 90-2x iv 90+x iv.) I.2x ii. 180-4x iii.) 90-2x iv 90+2x
0 - 9x
e.) Find the solution set of 2/3 + 1/3(x + 1) > 0, where x is a negative
integer. Represent the solution on given number line.
I.) {-1,-2} ii.) {-1,-3} iii.) {-2,-3} iv.) {-1,-5}
f.) The point P(a,b)is invariant , when reflected in origin. The value of a
and b is :
I.) (0,0) ii.) (0,2) iii.) (3,0) iv.) (-1,-1)
g.) Find the ratio in which the line segment joining the points P(3, −3)
and Q(−2, 7) is divided by the x-axis. Also, find the coordinates of the
point of division
I.) 4:1 (½,3) ii.) None of these iii.) 1:2 (½,3) iv.) 3:7( 3/2,0)
h.) Which of the following is not an Arithmetic Progression?
I.) 1.6, 1.54, 1.48,....… ii.) none of these iii.) 11, 2,11….. iv.) 30,19,8….
