RRB NTPC Graduate CBT 1 25 Mar 2026 Shift 3 – Question Paper

Concept: Jalaluddin Khalji (1290–96), founder of the Khalji dynasty, is remembered for his mild and benevolent policies.

1. He held that the state should be based on the willing support of the governed, since most of India's population was non-Muslim – so statement (B), which says the opposite, is incorrect.
2. He avoided harsh punishments, pardoned rebels (e.g. Malik Chhajju) and even rewarded some of them, and sought the goodwill of the nobles through tolerance – statements (A), (C), (D) are true.

Yaad rakhein: Jalaluddin = "mild Sultan"; his nephew Alauddin Khalji = harsh Sultan who killed him in 1296.

Answer: (B) He put forward the view that the state should never be based on the willing support of the governed.

Concept: A tangent is perpendicular to the radius at the point of contact, so $△OBA$ is right-angled at B. Also $OB=OC$, so $△OBC$ is isosceles.

1. In $△OBA$: $\sin \angle OAB=\frac{OB}{OA}=\frac{3}{6}=\frac{1}{2}\Rightarrow \angle OAB={30}^{\circ }$, so $\angle AOB={60}^{\circ }$.
2. By symmetry $\angle AOC={60}^{\circ }$, hence $\angle BOC={120}^{\circ }$.
3. In isosceles $△OBC$: $\angle OBC=\angle OCB=\frac{{180}^{\circ }-{120}^{\circ }}{2}={30}^{\circ }$.

Trick: When the external point is at distance $2r$ from the centre, the two tangents make ${60}^{\circ }$ with each other, the central angle is ${120}^{\circ }$ and each base angle of $△OBC$ is ${30}^{\circ }$.

Answer: (A) ${30}^{\circ }$

Concept: Decode each symbol step by step and build the family tree, starting from the end (E) to reach D.

1. D × N → D is the wife of N. N % P → N is the father of P, so D is P's mother.
2. P + K → P is the mother of K. K # E → K is the daughter of E, so E is K's father and P's husband.
3. D is the mother of P, and P is E's wife → D is E's wife's mother.

Trick: Whenever one person is "mother of X" and another is "father of X", they are husband and wife – that single link solves most coded-relation questions.

Answer: (C) Wife's mother