Questions

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is

If  x = 2+3,then what is the value of 2x + 12x ?

A statement is given followed by three inferences numbered I, II, and III. Consider the statement to be true even if it is at variance with commonly known facts. You have to decide which of the inferences, if any, follow from the given statement.

Statement: 

Donald Trump began the week facing accusations of treason over his embrace of Vladimir Putin and ended it with a middle finger to his many critics by inviting the Russian autocrat to the White House.

Inferences:

I. America and Russia are not allies.
II. No prior American President has ever
embraced a Russian counterpart.
III. Russian President, Vladimir Putin,
has been a long-time US enemy.

Krishna Sobti is the recipient of the 53rd Jnanpith Award. Which of the following books has not been written by her?

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

Rehana had everything(A)/beauties, a good figure,(B)/and a sweet personality.(C)/No issue(D)

In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one, which best expresses the same sentence in Passive/Active voice.

My sister will bake a dozen cakes for the fair.

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one, which best express the same sentence in Indirect/Direct speech.

‘Have you come from Japan?' said the shopkeeper to the tourist.