# Board Paper of Class 10 2017 Maths - Solutions

(1) Check the question paper for fairness of printing. If there is any lack of fairness, inform the Hall Supervisor immediately.(2) Use Blue or Black ink to write and underline and pencil to draw diagrams.Note : This question paper contains four sections.

- Question 1

- Question 2
If
*k*+ 2, 4*k*− 6, 3*k*− 2 are the three consecutive terms of an A.P., then the value of k is :

(a) 2

(b) 3

(c) 4

(d) 5 VIEW SOLUTION

- Question 3
If the product of the first four consecutive terms of a G.P. is 256 and if the common ratio is 4 and the first term is positive, then its 3
^{rd}term is:

(a) 8

(b) $\frac{1}{16}$

(c) $\frac{1}{32}$

(d) 16 VIEW SOLUTION

- Question 4
The remainder when
*x*^{2 }− 2*x*+ 7 is divided by*x*+ 4 is :

(a) 28

(b) 29

(c) 30

(d) 31 VIEW SOLUTION

- Question 5
The common root of the equations
*x*^{2 }−*bx + c*= 0 and*x*^{2}+*bx*−*a*= 0 is :

(a) $\frac{c+a}{2b}$

(b) $\frac{c-a}{2b}$

(c) $\frac{c+b}{2a}$

(d) $\frac{a+b}{2c}$ VIEW SOLUTION

- Question 6
If $\mathrm{A}=\left(\begin{array}{cc}7& 2\\ 1& 3\end{array}\right)\mathrm{and}\mathrm{A}+\mathrm{B}=\left(\begin{array}{cc}-1& 0\\ 2& -4\end{array}\right)$, then the matrix B =

(a) $\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$

(b) $\left(\begin{array}{cc}6& 2\\ 3& -1\end{array}\right)$

(c) $\left(\begin{array}{cc}-8& -2\\ 1& -7\end{array}\right)$

(c) $\left(\begin{array}{cc}8& 2\\ -1& 7\end{array}\right)$ VIEW SOLUTION

- Question 7
Slope of the straight line which is perpendicular to the straight line joining the points (−2, 6) and (4, 8) is equal to :

(a) $\frac{1}{3}$

(b) 3

(c) –3

(d) $-\frac{1}{3}$ VIEW SOLUTION

- Question 8
If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of ‘
*a*’ is equal to :

(a) −8

(b) 4

(c) −4

(d) 8 VIEW SOLUTION

- Question 9
The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one side of the first triangle is 8 cm, then the corresponding side of the other triangle is :

(a) 4 cm

(b) 3 cm

(c) 9 cm

(d) 6 cm VIEW SOLUTION

- Question 10
ΔABC is a right angled triangle where ∠B = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, then CD is :

(a) 24 cm

(b) 16 cm

(c) 32 cm

(d) 8 cm VIEW SOLUTION

- Question 11

- Question 12

- Question 13
If the surface area of a sphere is 100 π cm
^{2}, then its radius is equal to :

(a) 25 cm

(b) 100 cm

(c) 5 cm

(d) 10 cm VIEW SOLUTION

- Question 14
Standard deviation of a collection of a data is $2\sqrt{2}$. If each value is multiplied by 3, then the standard deviation of the new data is :

(a) $\sqrt{12}$

(b) $4\sqrt{2}$

(c) $6\sqrt{2}$

(d) $9\sqrt{2}$ VIEW SOLUTION

- Question 15
A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is :

(a) $\frac{2}{13}$

(b) $\frac{11}{13}$

(c) $\frac{4}{13}$

(d) $\frac{8}{13}$ VIEW SOLUTION