If 9x² + y² = 37 and xy = 2, x, y>0, then the value of (27x³+ y³) is:

ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If <BEC = 128° and <ECD = 25°, then what is the measure of <BAC?

Amit sold an article for ₹369.60 after allowing 12% discount on the marked price. Had he not allowed any discount he would have earned a profit of 20%. What is the cost price of the article?

if $${secθ={a\over b},b≠0,then \ {{1-tan^2θ}\over 2-sin^2θ}  }=?$$

If (10 a³+4b³):(11a³-15b³)=7:5, then (3a+5b):(9a-2b)=?

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

Select the most appropriate antonym of the given word.

PERSEVERANCE

Given below are four jumbled sentences. Select the option that gives their correct order.

A. Beyond the iron gate were the playing fields and the school building.

B. Everything had changed about the school.

C. After about a ten-minute drive we reached the local school.

D. We got down from the car and stood in front of the gate.