previous year questions
Maths Online Questions with Answers - 6
Mathematics Entrance Test
Free Maths Online Questions with Answers for the preparation of Engineering Entrance Test like AIEEE, IIT-JEE, CET etc.
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
© not symmetric
(d) transitive
Answer © 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
© 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
© 0, -1
(d) -1, 1
Answer © 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
© 360
(d) 240
Answer © 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
© 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
© 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)
© 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)
© (-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)
© (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)
© (2, 3)
(d) (1, 3)
Answer (a) (0, 1)
Related Guides
- Sample Chemistry Questions For Board Examinations CBSE 2009
- Mathematics Online Questions with Answers - 7
- Mathematics Objective Type Questions with Answers - 5
- Mathematics Aptitude Questions with Answers - 4
- Mathematics Objective Type Questions with Answers - 3
- Mathematics Objective Type Questions with Answers - 2
- Mathematics Objective Type Questions with Answers - 1
- SAMPLE CHEMISTRY QUESTIONS FOR BOARD EXAMINATION 2007-2008
- Solutions: CBSE - 2008, IIT-JEE-2008, AIEEE-2008, CBSE Mains-2008, DPMT 2008, DCE 2006