Free Printable NUMERO UNO- level 2

1.

In the x-y plane, the points (c,d) , (c,-d) and (-c,-d) are three vetices of a certain square. If c<0 and d>0, which of the following points is in the same quadrant as the fourth vertex of the square?

a)

(-5,-3)

b)

(3,-5)

c)

(3,5)

d)

(5.-3)

2.

The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is?

a)

12

b)

16

c)

24

d)

48

3.

If $f\left(x\right)=\log\lceil\ \frac{1+x}{1-x}\rceil,\ \$ then $f\lceil\ \frac{2x}{1+x^2}\rceil$

a)

$\lceil f\left(x\right)\rceil^3$

b)

$3f\left(x\right)$

c)

$\lceil f\left(x\right)\rceil^2$

d)

$2f\left(x\right)$

4.

Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

a)

$10^4$

b)

$10^2$

c)

$10^6$

d)

$10^3$

5.

the sum of all two digit odd numbers is

a)

2565

b)

2545

c)

2475

d)

2425

6.

If one root of the quadratic equation is $\frac{1}{1+\sqrt{3}}$ ,the the quadratic equation is

a)

2x^2+2x-1

b)

2 x^{2} + x - 1

c)

d)

$2x^2+x+1$

7.

If $f\left(x\right)=\left(x^m\right)^{\frac{1}{n}},\ n\in N$ is an even function then m is

a)

Any integer

b)

Odd integer

c)

Even integer

d)

f(x) even is not possible

8.

The minimum value of $e^{\left(2x^2-2x+1\right)\sin^2x}$ is

a)

$e$

b)

$\frac{1}{e}$

c)

1

d)

0

9.

If the straight line 5x+y=k forms a triangle with the coordinate axes of area 10sq. units, then the values of k are

a)

$\pm15$

b)

$\pm5$

c)

$\pm10$

d)

$\pm20$

10.

The time rate of change of a sphere is $\frac{1}{2\pi}$ .When it's radius is 5cm, what will be the rate of change of surface area of sphere with time?

a)

10 sq cm

b)

20 sq cm

c)

30 sq cm

d)

40 sq cm

11.

A clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on. How many times will it strike in 24 hours?

a)

78

b)

136

c)

156

d)

226

12.

$\lceil\ \frac{-1-i}{\sqrt{2}}\rceil^{100}$ equals

a)

1

b)

$i$

c)

$-i$

d)

-1

13.

The value of x such that $3^{2x}-2\left(3^{x+2}\right)+81=0$ is

a)

1

b)

2

c)

3

d)

4

14.

The radius of a cylinder is increasing at the rate of 5cm/min so that it's volume is constant. When it's radius is 5 cm and height is 3 cm the rate at which it's height is decreasing

a)

3 cm/min

b)

4 cm/min

c)

5 cm/min

d)

6 cm/min

15.

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting the others. The probability that all the three apply for the same house is

a)

$\frac{1}{9}$

b)

$\frac{2}{9}$

c)

$\frac{7}{9}$

d)

$\frac{8}{9}$

NUMERO UNO- level 2

Total questions: 15

Worksheet time: 10mins

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