# (Paper) Maths Objective Type Questions with Answers for the preparatin of Engineering Entrance Test : AIEEE, IIT-JEE, CET : 3

**Mathematics Objective Type Questions****
with Answers for the preparation of Engineering Entrance Test** :
**AIEEE, IIT-JEE, CET**

**(Important For 10+1 & 10+2 Science
Students)**

Test 3

(1) Let R = {(1, 3), (4, 2), (2, 4), (2, 3),
(3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

(a) a function

(b) reflexive

(c) not symmetric

(d) transitive

Answer (c) not symmetric

(2) Let two numbers have arithmetic mean 9 and geometric mean 4. Then these
numbers are the roots of the quadratic equation

(a) x2 + 18x + 16 = 0

(b) x2 - 18x - 16 = 0

(c) x2 + 18x - 16 = 0

(d) x2 - 18x + 16 = 0

Here x2 read as x Square

Answer (d) x2 - 18x + 16 = 0

(3) If (1 – p) is a root of quadratic
equation x2 + px + (1-p) = 0 , then its roots are

(a) 0, 1

(b) -1, 2

(c) 0, -1

(d) -1, 1

Answer (c) 0, -1

(4) How many ways are there to arrange the letters in the word GARDEN with the
vowels in alphabetical order?

(a) 120

(b) 480

(c) 360

(d) 240

Answer (c) 360

(5) If one root of the equation x2 + px + 12 =
0 is 4, while the equation x2 + px + q = 0 has equal roots, then the value of
‘q’ is

(a) 49/4

(b) 4

(c) 3

(d) 12

Answer (a) 49/4

(6) A person standing on the bank of a river observes that the angle of
elevation of the top of a tree on the opposite bank of the river is and when he
retires 40 meter away from the tree the angle of elevation becomes . The breadth
of the river is

(a) 20 m

(b) 30 m

(c) 40 m

(d) 60 m

Answer (a) 20 m

(7) The graph of the function y = f(x) is
symmetrical about the line x = 2, then

(a) f(x + 2)= f(x – 2)

(b) f(2 + x) = f(2 – x)

(c) f(x) = f(-x)

(d) f(x) = - f(-x)

Answer (b) f(2 + x) = f(2 – x)

(8) A point on the parabola y2 = 18x at which
the ordinate increases at twice the rate of the abscissa is

(a) (2, 4)

(b) (2, -4)

(c) (-9/8, 9/2)

(d) (9/8, 9/2)

Answer (d) (9/8, 9/2)

(9) The normal to the curve x = a(1 + cosq), y
= asinq at ‘q’ always passes through the fixed point

(a) (a, 0)

(b) (0, a)

(c) (0, 0)

(d) (a, a)

Answer (a) (a, 0)

(10) If 2a + 3b + 6c =0, then at least one root
of the equation ax2 + bx + c lies in the interval

(a) (0, 1)

(b) (1, 2)

(c) (2, 3)

(d) (1, 3)

Answer (a) (0, 1)

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