# (Paper) Maths Objective Type Questions with Answers for the preparatin of Engineering Entrance Test : AIEEE, IIT-JEE, CET : 5

**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 5

(1) If A2 – A + I = 0, then the inverse of
A is

(a) A + I

(b) A

(c) A – I

(d) I – A

Answer (d) I – A

(2) Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)}
be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6,
9, 12}. The relation is

(a) reflexive and transitive only

(b) reflexive only

(c) an equivalence relation

(d) reflexive and symmetric only

Answer (a) reflexive and transitive only

(3) If in a frequently distribution, the mean
and median are 21 and 22 respectively, then its mode is approximately

(a) 22.0

(b) 20.5

(c) 25.5

(d) 24.0

Answer (d) 24.0

(4) Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of
mid point of PQ is

(a) y2 – 4x + 2 = 0

(b) y2 + 4x + 2 = 0

(c) x2 + 4y + 2 = 0

(d) x2 – 4y + 2 = 0

Here 2 is read as square

Answer (a) y2 – 4x + 2 = 0

(5) The system of equations

αx + y + z = α - 1,

x + αy + z = α - 1,

x + y + αz = α - 1

has no solution, if α is

(a) -2

(b) either – 2 or 1

(c) not -2

(d) 1

Answer (a) -2

(6) The value of α for which the sum of the squares of the roots of the
equation

x2 – (a – 2)x – a – 1 = 0 assume the least value is

(a) 1

(b) 0

(c) 3

(d) 2

Answer (a) 1

(7) If roots of the equation x2 – bx + c = 0
be two consectutive integers, then b2 – 4c equals

(a) – 2

(b) 3

(c) 2

(d) 1

Answer (d) 1

(8) If the letters of word SACHIN are arranged in all possible ways and these
words are written out as in dictionary, then the word SACHIN appears at serial
number

(a) 601

(b) 600

(c) 603

(d) 602

Answer (a) 601

(9) Let f be differentiable for all x. If f(1)
= - 2 and f′(x) ≥ 2 for x ∈ [1, 6] , then

(a) f(6) ≥ 8

(b) f(6) < size="2">

Answer (a) f(6) ≥ 8

(10) If in a triangle ABC, the altitudes from the vertices A, B, C on opposite
sides are in H.P., then sin A, sin B, sin C are in

(a) G.P.

(b) A.P.

(c) Arithmetic − Geometric
Progression

(d) H.P.

Answer (b) A.P.

**Page 5**