If all boys are honest and Sachin is not Honest. Then which of the following  statements is true?

(A) All honest persons are boys.

(B) Sachin is not a boy.

(C) All boys is not honest.

(D) Sachin is a boy.

If All books are Pen and No pen is a pencil, Then which of the following statements is true?

(A) Some books are pencils

(B) No book is a pencil.

(C) Some pens are pencils.

(D) Some pencils are books.

A cloth merchant claims to sell cloth at cost price. However, his meter scale is $96$ cm long. His gain in percent is:

(A)  $4.5\%$

(B)  $4\%$ 

(C) $4 \frac{1}{6}\%$

(D)  $4.05\%$

A cylindrical vessel of diameter$12$ cm is partially filled with water. A spherical ball is dropped in it and the water level rises by$1$ cm. The diameter of the ball is: 

(A) $6 cm$

(B) $6\sqrt{3} cm$

(C) $3 cm$

(D) $9 cm$

From a container having pure milk  $20\%$ is replaced by water and the process is repeated thrice. At the end of the third operation, the purity of the mill is:

(A) $45\%$

(B) $56\%$

(C)$51.2\%$

(D) $48.8\%$

The length of the largest possible square tiles that can be used in the flooring a room of length$5.44m$ and of breadth $3.74m$ is:

(A) $36cm$

(B) $34cm$

(C)$32cm$

(D) $30cm$

The difference between the simple interest and compound interest on sum of money for $2$ years at the rate of $5\%$ is $25.$ The sum is

$$\begin{gathered} \left(A\right) 8000 \\ \left(B\right) 9000 \\ \left(C\right) 10000 \\ \left(D\right) 15000 \end{gathered}$$

Which of the following is the smallest quantity?

(A)$\frac{1}{-2}$

(B) $\frac{1}{2}$

(C) $\frac{1}{\sqrt{2}}$

(D) $\frac{1}{{\left(-2\right)}^2}$

A wire $25$ cm long is bent into the form of rectangle of area $25$ sq cm. The length of the longer side is:

$$\begin{gathered} \left(A\right) 25 cm \\ \left(B\right) 20 cm \\ \left(C\right) 10 cm \\ \left(D\right) 5 cm \end{gathered}$$