RRB NTPC Undergraduate CBT 1 8 Aug 2025 Shift 3 – Question Paper

Concept: Part VIII (Articles 239–242) of the Constitution deals with Union Territories.

1. Article 239: every Union Territory is administered by the President, acting through an Administrator appointed by him.
2. The Administrator may be called Lieutenant Governor or Administrator (e.g. LG of Delhi).
3. A Governor of an adjacent State can be appointed Administrator, but he still acts on behalf of the President – so option A is not the constitutional head.

Yaad rakhein: UT = 'Union' ka territory → Union ka head = President.

Answer: (D) the President of India

Concept: If the angles of elevation from two points at distances $d_1$ and $d_2$ from the base are complementary, then $h^2=d_1{d}_2$.

1. Let the angle at X be $\theta$; then at Y it is ${90}^{\circ }-\theta$.
2. $\tan \theta =\frac{h}{b^2}$ and $\tan ({90}^{\circ }-\theta )=\cot \theta =\frac{h}{a^2}$.
3. Multiply: $\tan \theta ·\cot \theta =1=\frac{h^2}{a^2{b}^2}$.
4. $h^2=a^2{b}^2\Rightarrow h=ab$ m.

Trick: Complementary angles → $h=\sqrt{d_1{d}_2}=\sqrt{a^2{b}^2}=ab$. (Sides of the tower don't matter.)

Answer: (D) $ab$

Concept: Rearrange the digits and compare position by position.

1. Original: 7 1 6 4 2 9 3 8
2. Ascending: 1 2 3 4 6 7 8 9
3. Only the 4th position (digit 4) is the same.

Trick: Write both rows one under the other and tick matches.

Answer: (C) One