Question : In a circle, two chords $AB$ and $CD$ intersect each other internally at point $P$. If $AB=16\; cm, PB =6\;cm $, and $PD =12\; cm$, then the value of $PC$ (in $cm $) is equal to:

Option 1: 3

Option 2: 8

Option 3: 6

Option 4: 5

Question : Directions: If A means +, B means –, C means ÷ and D means ×, then 63 C 9 A 16 B 32 D 3 C 8 = ?

Option 1: 11

Option 2: 13

Option 3: 10

Option 4: 9

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4).

I sat down to do my assignment. Instead of that, I watched a movie.

(1) I watched a movie instead

(2) and I watched a movie

(3) I began watching a movie

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : The length of the diagonals of a rhombus is 40 cm and 60 cm. What is the length of the side of the rhombus?

Option 1: $50 \sqrt{3} \ \text{cm}$

Option 2: $20 \sqrt{3}\ \text{cm}$

Option 3: $10 \sqrt{13}\ \text{cm}$

Option 4: $40 \sqrt{13}\ \text{cm}$

Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
129 : 32 :: 109 : 27 :: 289 : ?

Option 1: 54

Option 2: 96

Option 3: 72

Option 4: 28

Question : Who was conferred with the Ashok Chakra for his gallantry in the 26/11 Mumbai terrorist attacks?

Option 1: Mohan Chand Sharma

Option 2: Hemant Karkare

Option 3: R. P. Diengdoh

Option 4: Mohit Sharma

Question : The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

Option 1: 90

Option 2: 120

Option 3: 220

Option 4: 240

Question : Directions: Select the correct option that indicates the arrangement of the given words in a logical and meaningful order.
1. Hectometre
2. Millimetre
3. Decimetre
4. Decametre
5. Kilometre

Option 1: 2, 3, 4, 1, 5

Option 2: 2, 3, 5, 1, 4

Option 3: 3, 2, 4, 1, 5

Option 4: 3, 2, 5, 1, 4

Question : Directions: Find the missing numbers from the given responses.

Option 1: 11, 17

Option 2: 17, 11

Option 3: 17, 19 

Option 4: 19, 17

Question : Directions: In a certain code language,
U @ H means U is the son of H;
U % H means U is the daughter of H;
U & H means U is the mother of H;
U # H means U is the father of H.
If N % M # R @ L & K, then how is N related to K?

Option 1: Brother

Option 2: Daughter

Option 3: Son

Option 4: Sister