Question : Direction: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'A' can be represented by 03, 55, etc., and 'P' can be represented by 10, 99, etc. Similarly, you have to identify the set for the word.

 'VENU'

Option 1: 69, 87, 32, 41

Option 2: 85, 02, 20, 57

Option 3: 11, 95, 89, 57

Option 4: 69, 95, 22, 04

Question : Two chords of lengths $a$ metre and $b$ metre subtend angles $60^{\circ}$ and $90^{\circ}$ at the centre of the circle, respectively. Which of the following is true?

Option 1: $b=\sqrt{2}a$

Option 2: $a=\sqrt{2}b$

Option 3: $a=2b$

Option 4: $b=2a$

Question : In the early nineteenth century, who demonstrated that there are fourteen space lattices, or regularly repeating arrangements of points in space, that differ in symmetry and geometry?

Option 1: Auguste Bravais

Option 2: William Bragg

Option 3: Jerome Karle

Option 4: Charles Frank

Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.

Option 1: ONL

Option 2: RQO

Option 3: HGE

Option 4: DCB

Question : If $x^{2} -3x +1=0$, then the value of $\frac{\left(x^4+\frac{1}{x^2}\right)}{\left(x^2+5 x+1\right)}$ is:

Option 1: $\frac{9}{4}$

Option 2: $\frac{27}{8}$

Option 3: $\frac{5}{2}$

Option 4: $2$

Question : Directions: A # B means A is the brother of B;
A @ B means A is the daughter of B;
A & B means A is the husband of B;
A % B means A is the wife of B.
If D @ N @ H & Y @ F % V, then how is N related to F?

Option 1: Son’s wife

Option 2: Daughter

Option 3: Daughter’s daughter

Option 4: Sister’s daughter

Question : Match the columns.

Option 1: A-I, B-II, C-III, D-IV

Option 2: A-I, B-II, C-IV, D-III

Option 3: A-IV, B-III, C-I, D-II

Option 4: A-IV, B-III, C-II, D-I

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

He has the full facts ______ but is deliberately hiding them.

Option 1: up his sleeve

Option 2: under his sleeves

Option 3: upon his sleeves

Option 4: in his sleeves

Question : Direction: In the following questions, two statements are given followed by two conclusions  I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. 

Statements

I. The Constitution assures fundamental rights.

II. Parliament has the right to amend the Constitution.

Conclusions

I. Parliament included fundamental rights in the Constitution.

II. Parliament did not assure the fundamental rights.

Option 1: Only conclusion I follows 

Option 2: Only conclusion II follows 

Option 3: Both conclusions I and II follow 

Option 4: None of them

Question : In $\triangle A B C,\ D$ is the mid-point of $BC$ and $G$ is the centroid. If $G D = 10\ \text{cm} $, the length of $AD$ is_____.

Option 1: 20 cm

Option 2: 30 cm

Option 3: 15 cm

Option 4: 10 cm