Exams

If 3x-5(x-1) > 2x - 1 < 2 + 4x; then x can take which of the following values?

tan(A/2) is equal to

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to
be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. All pencils are erasers.
Conclusions:
I. Some pencils are not pens.
II. Some erasers are not pens.

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

Find the odd word/letters/number pair from the given alternatives.

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement:I All astronomers are scientists.
Statement:II Some scientists are shopkeepers.

Conclusion:I All astronomers are shopkeepers.
Conclusion:II Some shopkeepers are astronomers.
Conclusion:III Some shopkeepers are scientists.
Conclusion:IV All scientists are astronomers.

Δ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?

__________ acts as a shield absorbing ultraviolet radiation from the sun.