## Ques 1.

The average age of 30 students in a class is 16 years. If the age of their teacher is 47 years, what is the average age of the students and the teacher combined ?

(a) 17 2/3 years

(b) 31 1/2 years

(c) 16 years

(d) 17 years

**Ans 1.**Total age of 30 students = 30 x 16

= 480 years

. . Average age of 30 Students along with the teacher

= 480 + 47 / 30 + 1 = 527/31 = 17 years

## Ques 2.

Simplify :

**Ans 2**

## Ques 3.

The Perimeter of a square , the perimeter of an equilateral triangle and the circumference of a circle are all equal. The maximum area is of

(a) Square

(b) Equilateral

(c) Circle

(d) Nothing can be concluded

**Ans 3.**Given that 4a = 3x = 2rr,

where a is the side of square , x is the side of equilateral triangle and r is the radius of circle .

## Ques 4

An electronic device make a beep after every 60 s while another device make a beep after 66 s. If They beeped together at 10 a.m. then the time when they will beep together next time is

(a) 10:11 a.m.

(b) 10 : 13 a.m.

(c) 10: 15 a.m.

(d) 10 : 18 a.m.

**Ans 4.**The L.C.M. of 60 and 66 = 660 seconds

= 11 minutes

they beeped together at 10 a.m. hence they would beep together again after 11 minutes i.e. at 10.11 a.m.

## Ques 5.

A student was asked to multiply a given number by 8/17 .His answer was 225 more than the correct answer because he divided the number by 8/17 . The given number was

(a) 8

(b) 17

(c) 64

(d) 136

**Ans 5**.

## Ques 6.

If one -eighth of a sick is in mud, one-half of the remaining in water and the remaining 3.5 cm out of water , total length of the stick is

(a) 6 cm

(b) 7 cm

(c) 8 cm

(d) 11 cm

**Ans 6.**

## Ques 7.

The value of /15612+/154+/225 is

(a) 13

(b) 15

(c) 25

(d) 125

**Ans 7.**

## Ques 8.

/12 + / 12 + /12 + ..... is equal to

(a) 3

(b) 4

(c) 6

(d) greater than 6

**Ans 8.**

## Ques 9

If 2x=3y= 6-z , then ( 1/x + 1/y + 1/z) is equal to

(a) 0

(b) 1

(c) 3/2

(d) -1/2

**Ans 9.**

## Ques 10.

If ax = by = cz and b2 = ac , then y is equal to

(a) xz/x +z

(b) xz / 2(x-z)

(c) xz/2(z-x)

(d) 2xz/(x +2)

**Ans 10.**

## Ques 11.

If the price of sugar decreases by 20% , find by how much per cent must a householder increase her consumption so as not to decrease the expenditure .

(a) 10%

(b) 25%

(c) 18%

(d) 20%

**Ans 11.**