**SECTION “A” (COMPULSORY)(M.C.Q.S)**

**1. Choose the correct answer for each from the given options:**

(1) √9x√9=—

* *9*

* 81

* 18

* None of these

(2) 35 x 34x 3-³ = —-

* 312

* 360

* 38

* *36*

(3) The sum of measures of three angles of a triangle is —-

* 90°

* 360°

* 190°

* *180°*

(4) Formula of Arithmetic mean is ——-

(a) ∑X

(b) ∑fx

(c) f

(d) *∑fx/n*

(5) A proportion has —- terms.

* *4*

* 3

* 2

* 1

(6) Set {2,3,S,—-} is a set of ———

* natural no.

* even no.

* odd no.

* *prime no.*

(7) If log³ x = 4, x = ——

* 12

* 34

* *81*

* 100

(8) The characteristics of log 68.79 is ——-

* *1*

* 2

* 2

* none of these

(9) —— is the number repeated frequently in a given data.

* mean

* median

* *mode*

* none of these

(10) Two angles whose arms are two pairs of opposite rays are called ——– angles.

* *vertical*

* complementary

* supplementary

* adjacent

(11) The arithmetic mean of 4,4,0, -4, -4, is ——–

* *0*

* 4

* -4

* 12

(12) Circumference of a circle is ——-

* πr²

** 2πr*

* πr²/2

* πr

(14) Rate of Zakat = ——

* *5/2%*

* 3/2%

* 5%

* 7%

(16) (a + b) – (a – b)2 = ———

* a² – b²

* a² + b²

* 2(a² + b²)

* *4ab*

(17) The set {0, 1} has closer property w.r.t.

* addition

* subtraction

* *Multiplication*

* Division

(18) (x + 5)(x – 5) = ———–

* *x² – 25*

* x² – 5

* x² + 5

* (x – 5)

(19) In a right angled triangle, opposite side of the right angle is called ———

* base

* perpendicular

* *Hypotenuse*

* none of these

(20) In decimal system 135 = ——

* *8*

* 12

* 5

* 7

**SECTION “B” (SHORT-ANSWER QUESTIONS)**

NOTE: Answer 10 questions from this section.

(14) Find median of 1,3,6,3,5,4,3,1,4,3.

*ANSWER:*

Arranging in ascending order

1,1,3,3,3,4,4,5,6

Median is 3

**SECTION C (DETAILED-ANSWER QUESTIONS)**

NOTE: Answer 3 questions from this Section

**(18) A person dies leaving behind him a ‘Tarka’ worth Rs.30,000. Distribute the Tarka among 4 sons and 3 daughters. So that each Daughter gets half of what a son gets. Find the share of each when a debt of Rs.8,000 is also paid from Tarka**

ANSWER:

Amount of Tarka = 30,000

Amount of Debt = 8,000

Number of sons = 4

Number of daughter = 3

Each son gets twice that of a daughter.

SOLUTION:

Amount left after paying back debt = 30,000 – 8,000 = 22,000

Suppose each daughter gets Re.1

Suppose each son gets Rs.2

3 daughters get 3 x 1 = 3 Rs.

4 sons get 4 x 2 = 8 Rs.

Total amount = 3 + 8 = 11

Share of 3 daughters = 22,000 x 3/11

= 6,000

So each daughter gets = 6,000/3 = Rs.2,000

Share of 4 sons = 22,000 x 8/11

= 16,000

Share of each son = 16,000/4 = Rs.4,000

Hence,

Share of each daughter = Rs.2,000

Share of each son = Rs.4,000

**21(b) Find median of 1,3,6,3,5,4,3,1,4,3.**

ANSWER:

Arranging in ascending order

1.1.3.3.3,4.4.5.6

Median is 3.