Board Paper of Class 10 2013 Maths (SET 3)  Solutions
(i) All questions are compulsory.
(ii) The question paper consists of 34 questions divided into four sections A, B, C and D.
(iii) Sections A contains 8 questions of one mark each, which are multiple choice type questions, section B contains 6 questions of two marks each, section C contains 10 questions of three marks each, and section D contains 10 questions of four marks each.
(iv) Use of calculators is not permitted.
 Question 1
The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30°. The distance of the car from the base of the tower (in m.) is:
(A)
(B)
(C)
(D) 150
VIEW SOLUTION
 Question 2
The probability of getting an even number, when a die is thrown once, is :
(A)
(B)
(C)
(D)
VIEW SOLUTION
 Question 3
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a primenumber less than 23, is :
(A)
(B)
(C)
(D)
VIEW SOLUTION
 Question 4
In Fig.2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, ∠B = 90° and DS = 5 cm, then the radius of the circle (in cm.) is:
(A) 11
(B) 18
(C) 6
(D) 15
VIEW SOLUTION
 Question 5
In Fig. 1, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
(A) 3 cm
(B) 4 cm
(C) 5 cm
(D) 6 cm
VIEW SOLUTION
 Question 6
 Question 7
If the difference between the circumference and the radius of a circle is 37 cm, then using, the circumference (in cm) of the circle is:
(A) 154
(B) 44
(C) 14
(D) 7
VIEW SOLUTION
 Question 8

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