Question : Assume that a drop of water is spherical and that its diameter is one-tenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32,000 drops of water fill the glass completely, then the height of the glass (in cm) is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : If $\tan^4\theta + \tan^2\theta=1$, what is the value of $11(\cos^4\theta+\cos^2\theta)$?

Option 1: – 11

Option 2: 8

Option 3: 0

Option 4: 11

Question : The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:

Option 1: 9 : 10

Option 2: 8 : 9

Option 3: 9 : 11

Option 4: 7 : 10

Question : Directions: In a certain code language, PLIERS is coded as MMAFJO, and SHOVEL is coded as FZRLFR. How will WRENCH be coded in the same language?

Option 1: CXJBQU

Option 2: BXJBPV

Option 3: BXJBQU

Option 4: CXIBPV

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Swaminathan had a table on which all his things, his coat, cap, slate, ink bottle, and books, were thrown in a confused (1)______ He sat on his stool and shut his eyes to (2) ________ what work he had for the day: first of course there was arithmetic – those five (3)_______ in profit and loss; then there was English – he had to copy down a page from his English lesson and write dictionary meanings of (4) _______ words; and then there was geography. And only two hours before him to do all this heap of work and get (5) ______ for school.

Question:

Select the most appropriate option to fill in the blank number 3.

Option 1: disputes

Option 2: puzzles

Option 3: debates

Option 4: conditions

Question : 'O' is the circumcentre of triangle ABC lying inside the triangle, then $\angle$OBC + $\angle$BAC is equal to:

Option 1: 90°

Option 2: 60°

Option 3: 110°

Option 4: 120°

Question : Select the correct active form of the given sentence.

Has the villa been occupied by them?

Option 1: Did they occupied the villa?

Option 2: Had they occupied the villa?

Option 3: Have they occupied the villa?

Option 4: Do they occupied the villa?

Question : Directions: Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.
Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?
(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.
(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.

Option 1: Data in statement II alone is sufficient to answer the question while data in statement I is not

Option 2: Data in statement I alone is sufficient to answer the question while data in statement II is not

Option 3: Data in statements I and II together are not sufficient to answer the question

Option 4: Data in statements I and II together are sufficient to answer the question

Question : Mercury is a:

Option 1: solid metal

Option 2: liquid metal

Option 3: Solid non-metal

Option 4: liquid non-metal

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Music can improve mood, decrease pain and anxiety, and facilitate opportunities for emotional expression. Research (1)______ that music can benefit our physical and mental health in numerous ways. Music can (2)______ the brain’s production of the hormone dopamine. This increased dopamine production helps (3)________ feelings of anxiety and depression. Music is processed directly by the amygdala, which is the part of the brain (4)________ in mood and emotions. By reducing stress levels and providing a strong competing stimulus to the pain (5) ________ that enter the brain, music therapy can assist in pain management.

Question:

Select the most appropriate option to fill in the blank 5.

Option 1: deter

Option 2: signals

Option 3: deform

Option 4: substance