Question : If $a-b=2$ and $ab=15$, then what is the value of $a^3-b^3$?

Option 1: 152

Option 2: 112

Option 3: 108

Option 4: 98

Question : Directions: If L + M means that L is the father of M, L × B means that L is the mother of M, and L – M means that L is the brother of M, then which of the following expressions shows that A is the paternal uncle of B?

Option 1: A – C + B

Option 2: A – B + C

Option 3: A + B – C

Option 4: A – B × C

Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word.
(The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Vacant : Empty :: Enormous : ?

Option 1: Sufficient

Option 2: Ample

Option 3: Huge

Option 4: Small

Question : In part one, while solving a question, Suhas accidentally took a number as a dividend which was 10% less than the original dividend. He also mistakenly took as divisor a number that was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?

Option 1: 27

Option 2: 21.6

Option 3: 26.4

Option 4: 30

Question : Select the sentences that contains no spelling errors.

Option 1: Anxiety is one of the most insidyous conditions affecting the mental health of an individual.

Option 2: Anxiety is one of the most insidious conditions affecting the mental health of an individual.

Option 3: Anxiety is one of the most insicdious conditions affecting the mental health of an individual.

Option 4: Anxiety is one of the most insidiouos conditions affecting the mental health of an individual.

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.

When he was in college, a famous poet made a useful distinction for him. He had drunk (1)________ in the poet's company to be compelled to describe to him a poem he was (2)_____of. It would be a monologue of sorts, the self-contemplation of a student on a summer afternoon who is reading Euphues. The poem itself would be a subtle (3)_____ of euphuisms, translating the heat, the day, and the student's concerns, into symmetrical posies; translating even his (4) ______and boredom with that famously foolish book into a euphuism.
The poet nodded his big head in a sympathetic, rhythmic way as this was (5)_____ to him, then told him that there are two kinds of poems. There is the kind you write; there is the kind you talk about in bars. Both kinds have value and both are poems, but it's fatal to confuse them.

Select the most appropriate option to fill in blank no. 3.

Option 1: plains

Option 2: credits

Option 3: series

Option 4: races

Question : "yosemite" is a

Option 1: River

Option 2: Peak

Option 3: Waterfall

Option 4: Dam

Question : Directions: In the following question, from the given alternative words, select the word that can be formed using the letters of the given word.
CAPITULATE

Option 1: CAPABLE

Option 2: LUPIN

Option 3: PITTY

Option 4: TALE

Question : Directions: In a row of people all facing north, Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. If Aditya is sixth from the left end of the line, how many people are there in the row?

Option 1: 29

Option 2: 31

Option 3: 30

Option 4: 32

Question : A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18°. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree. ( $\tan 18°$ = 0.3249).

Option 1: 120 metres

Option 2: 210 metres

Option 3: 140 metres

Option 4: 70 metres