Board Paper of Class 10 2014 Maths (SET 1)  Solutions
General Instructions:
(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.
(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 first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:
(A) –3
(B) 4
(C) 5
(D) 2 VIEW SOLUTION
 Question 2
In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is :
(A) 3.8
(B) 7.6
(C) 5.7
(D) 1.9 VIEW SOLUTION
 Question 3
In Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals:
(A) 67°
(B) 134°
(C) 44°
(D) 46° VIEW SOLUTION
 Question 4
A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is:
(A) $\frac{4}{\sqrt{3}}$
(B) $4\sqrt{3}$
(C) $2\sqrt{2}$
(D) 4 VIEW SOLUTION
 Question 5
If two different dice are rolled together, the probability of getting an even number on both dice, is:
(A) $\frac{1}{36}$
(B) $\frac{1}{2}$
(C) $\frac{1}{6}$
(D) $\frac{1}{4}$ VIEW SOLUTION
 Question 6
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is:
(A) $\frac{2}{3}$
(B) $\frac{1}{6}$
(C) $\frac{1}{3}$
(D) $\frac{11}{30}$ VIEW SOLUTION
 Question 7
If the points A(x, 2), B(−3, −4) and C(7, − 5) are collinear, then the value of x is:
(A) −63
(B) 63
(C) 60
(D) −60 VIEW SOLUTION
 Question 8
The number of solid spheres, each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is:
(A) 3
(B) 5
(C) 4
(D) 6 VIEW SOLUTION
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