Question : If $\alpha$ and $\beta$ are the roots of equation $x^{2}-2x+4=0$, then what is the equation whose roots are $\frac{\alpha ^{3}}{\beta ^{2}}$ and $\frac{\beta ^{3}}{\alpha ^{2}}?$

Option 1: $x^{2}-4x+8=0$

Option 2: $x^{2}-32x+4=0$

Option 3: $x^{2}-2x+4=0$

Option 4: $x^{2}-16x+4=0$

Question : If the HCF of two numbers is 8, then which of the following can never be their LCM?

Option 1: 56

Option 2: 48

Option 3: 42

Option 4: 40

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.

The Chief Minister asked her officers to _______ the process of procuring food for the poor from the market.

Option 1: speed up

Option 2: expedite

Option 3: hasten

Option 4: do fast

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. 1.

Option 1: enough

Option 2: many

Option 3: far

Option 4: since

Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error.

He was / paid handsomely for / his ability to handle / the crowd skillful.

Option 1: paid handsomely for

Option 2: his ability to handle

Option 3: the crowd skillful.

Option 4: He was

Question : In C language, the formatting character should be preceded by the symbol:

Option 1: +

Option 2: /

Option 3: %

Option 4: -

Question : Rs. 2,420 were divided among A, B, and C so that A : B = 5 : 4 and B : C = 9 : 10. Then C gets:

Option 1: Rs. 680

Option 2: Rs. 800

Option 3: Rs. 900

Option 4: Rs. 950

Question : What does the term 'Ebola' stand for?

Option 1: A viral disease outbreak in West Africa.

Option 2: A viral disease outbreak in Bangladesh.

Option 3: A city in Syria was destroyed by ISIS.

Option 4: None of these

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Do you have (some sugar)?

(1) any sugar

(2) little sugar

(3) small sugar

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Two items A and B are sold at a profit of 10% and 15%, respectively. If the amount of profit received is the same, then the cost price of A and B may be:

Option 1: Rs. 1,000 and Rs. 1,500

Option 2: Rs. 5,000 and Rs. 2,000

Option 3: Rs. 3,000 and Rs. 2,000

Option 4: Rs. 3,000 and Rs. 5,000