List of practice Questions

Six employees A, B, C, D, E, F are to be assigned to three projects (P1, P2, P3), each with exactly two employees, under the following constraints:
A and D cannot be together;
B must be with C or F;
E must be in a project different from C;
F cannot be in P1.
How many valid assignments are possible?

Which Article defines "State" for the purpose of Fundamental Rights?

An organic compound (X) having molecular formula C$_5$H$_10$O can show various properties depending on its structures. Draw each of the structures if it:
(I) shows Cannizzaro reaction.
(II) reduces Tollens' reagent and has a chiral carbon.
(III) gives positive iodoform test.

From an external point P, two tangents PA and PB are drawn to a circle with centre O. Radii OA and OB are perpendicular to the tangents and the angle \(\angle AOB = 50^\circ\). A third tangent is drawn which intersects both PA and PB. Find the angle \(\angle APB\).

There are 4 people M, S, P, R.
P gets 20% of the total.
M gets 40% of the remaining amount.
S gets 20% less than M.
R gets the remaining amount.
Find the ratio P : R.

N is a 3-digit number with non-zero digits. No digit is a perfect square and only 1 of the digits is a prime number. What is the number of factors of the smallest such number possible?

“The consequences of environmental degradation do not respect national and state boundaries.” Examine the statement in context of sustainability of development.

Using digits 1 to 6 (each at most once), how many 4-digit numbers can be formed that are divisible by 4?

If \(N = 2^3 \times 3^7 \times 5^7 \times 7^9 \times 10!\), then how many factors of N are there which are perfect squares as well as multiples of 420?

Adam's savings are equal to Ben's expenditure, which in turn is equal to Mary's savings. If Mary's savings are Rupees 50,000 and the incomes of Adam, Ben, and Mary are in the ratio 3:1:4, Mary's expenditure is less than thrice of Adam's expenditure and twice of Adam's expenditure is less than two times Ben's income, then which of the following could be true about Ben's income (\(I_B\))?

N is a 3-digit number with non-zero digits. No digit is a perfect square and only 1 of the digits is a prime number. What is the number of factors of the smallest such number possible?

The Ninth Schedule was added by which amendment?

Who appoints the Chief Justice of India?

The Indian Parliament consists of:

'Procedure Established by Law' is associated with which Article?

What is the minimum age for a person to be a member of the Rajya Sabha?

Which part of the Constitution of India deals with Fundamental Rights?

The President of India is elected by which system?

Which Article guarantees the Right to Equality?

Which Schedule contains provisions for tribal area administration?

Under Article 356, the President can impose President's Rule in a state for an initial period of:

Which Constitutional Amendment is known as the Mini-Constitution?

The phrase "procedure established by law" appears in which Article?

Which of the following is a Directive Principle of State Policy (DPSP)?