Question : Comprehension:

Read the passage and answer the questions that follow.

The first time that Agha Shahid Ali spoke to me about his approaching death was on 25 April 2001. The conversation began routinely. I had telephoned to remind him that we had been invited to a friend’s house for lunch. Although he had been under treatment for cancer for some fourteen months, Shahid was still on his feet and perfectly lucid, except for occasional lapses of memory. I heard him thumbing through his engagement book and then suddenly he said: ‘Oh dear. I can’t see a thing.’ There was a brief pause and then he added: ‘I hope this doesn’t mean that I’m dying...’ I did not know how to respond: his voice was completely at odds with the content of what he had just said, light to the point of jocularity. I mumbled something innocuous: ‘No Shahid — of course not. You’ll be fine.’ He cut me short. In a tone of voice that was at once quizzical and direct, he said: ‘When it happens I hope you’ll write something about me.’

I was shocked into silence and a long moment passed before I could bring myself to say the things that people say on such occasions. ‘Shahid you’ll be fine; you have to be strong...’From the window of my study, I could see a corner of the building in which he lived, some eight blocks away. It was just a few months since he moved there: he had been living a few miles away, in Manhattan, when he had a sudden blackout in February 2000. After tests revealed that he had a malignant brain tumour, he decided to move to Brooklyn, to be close to his youngest sister, Samantha, who teaches at the Pratt Institute—a few blocks away from the street where I live. Shahid ignored my reassurances. He began to laugh and it was then that I realised that he was dead serious. I understood that he was entrusting me with a quite specific charge: he wanted me to remember him not through the spoken recitatives of memory and friendship, but through the written word.

He knew that my instincts would have led me to search for reasons to avoid writing about his death: I would have told myself that I was not a poet; that our friendship was of recent date; that there were many others who knew him much better and would be writing from greater understanding and knowledge. All this Shahid had guessed and he had decided to shut off those routes while there was still time. ‘You must write about me.’ Finally, I said: ‘Shahid, I will: I’ll do the best I can.’

Question:

Shahid was perfectly ‘lucid’. This suggests he was:

Option 1: confused

Option 2: in a delirium

Option 3: speaking coherently

Option 4: not intelligible

Question : If $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$, then the value of $\sin\theta$ is:

Option 1: $\frac{5}{13}$

Option 2: $–\frac{12}{13}$

Option 3: $\frac{6}{13}$

Option 4: $\frac{12}{13}$

Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?

Option 1: 1 : 4

Option 2: 1 : 6

Option 3: 1 : 3

Option 4: 2 : 5

Question : Directions: Select the option in which the following figure is embedded. (Rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

Option 1: 3

Option 2: 2

Option 3: 5

Option 4: 7

Question : If $x+\frac{1}{x}=9$, find $x^4+\frac{1}{x^4}$.

Option 1: 5431

Option 2: 6561

Option 3: 6156

Option 4: 6239

Question : Simplify $\frac{\cos 45^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$

Option 1: $\frac{3 \sqrt{2}+\sqrt{6}}{8}$

Option 2: $\frac{\sqrt{3}}{2 \sqrt{2}-2 \sqrt{6}}$

Option 3: $\frac{3 \sqrt{2}-\sqrt{6}}{8}$

Option 4: $\frac{\sqrt{3}}{2 \sqrt{6}-2 \sqrt{2}}$

Question : 25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?

Option 1: 10

Option 2: 5

Option 3: 8

Option 4: 6

Question : Directions: In a certain code language, ARTIST is written as ASTITT, and ADVICE is written as AEVIDE. How will ASPECT be written in that language?

Option 1: ATEPDT

Option 2: ATQFDT

Option 3: ATPEDT

Option 4: ATPECT

Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 6, 8)
(6, 8, 10)

Option 1: (2, 12, 8)

Option 2: (8, 12, 16)

Option 3: (5, 30, 10)

Option 4: (18, 18, 16)