Correct answer: Seventh Schedule

Explanation:

The Seventh Schedule of the Indian Constitution contains:

• Union List (List I) – subjects on which only Parliament can make laws

• State List (List II) – subjects on which State Legislatures can make laws

• Concurrent List (List III) – subjects on which both can make laws

The other options:

• Fifth Schedule – administration of Scheduled Areas

• Eighth Schedule – languages of India

• Tenth Schedule – anti-defection law

✅ Answer: Seventh Schedule

Correct answer: 27L

Explanation:

Check the parity (odd/even) of the number and the alphabet position of the letter:

Pattern:

In all options except one, the number and letter position match (both odd or both even).

• 27L breaks the pattern → number is odd, letter position is even

✅ Odd one out: 27L

Correct answer: If a soft iron bar is inserted inside the solenoid, the magnetic field remains the same.

Explanation:

This statement is not correct.

• The magnetic field inside a solenoid is nearly uniform.

• A current-carrying solenoid behaves like a bar magnet.

• The magnetic field increases with increase in current.

• When a soft iron bar is inserted inside the solenoid, the magnetic field increases, because soft iron gets magnetised easily and strengthens the field.

So, the incorrect statement is the fourth one.

Correct answer: C4

Explanation:

Let’s look at letters and numbers separately.

🔤 Letters

T → W → Z → ? → F

Alphabet positions:

• T = 20

• W = 23

• Z = 26

Pattern: + 3 each time

• 26 + 3 = 29 → wraps around → C (3)

• 3 + 3 = 6 → F

So, the missing letter is C.

🔢 Numbers

16 → 12 → 8 → ? → 0

Pattern: −4 each time

• 16 − 4 = 12

• 12 − 4 = 8

• 8 − 4 = 4

• 4 − 4 = 0

So, the missing number is 4.

Correct answer: 2 : 1

Explanation:

Let the volume of the sphere = V and g = acceleration due to gravity.

Step 1: True weight of the sphere

Density of sphere = 3ρ

Step 2: Apparent weight in a liquid

Buoyant force = (density of liquid × volume × g)

Correct answer: iOncology.ai

Explanation:

The advanced AI platform iOncology.ai was developed jointly by AIIMS, New Delhi, and C-DAC, Pune. It leverages deep learning models to analyze medical imaging and clinical data for early and accurate detection of cancers, with a special focus on:

• Cervical cancer

• Breast cancer

The other options are distractors and are not officially linked to this AIIMS–C-DAC initiative.

Correct answer: Second Five-Year Plan

Explanation:

The Second Five-Year Plan (1956–1961) was based on the Mahalanobis Model, formulated by P. C. Mahalanobis.

• It emphasized heavy industries and industrialization.

• Focus was on building a strong industrial base for long-term economic growth.

Other plans:

• First Five-Year Plan → Harrod–Domar Model

• Third & Fourth Five-Year Plans → different objectives

✅ Answer: Second Five-Year Plan

Correct answer: Solid Sphere

Explanation:

For bodies rolling without slipping, the acceleration depends on the moment of inertia (I).

Smaller moment of inertia ⇒ greater acceleration ⇒ reaches first.

Moments of inertia (about central axis):

Since the solid sphere has the least moment of inertia, it accelerates the most and reaches the bottom first.

✅ Answer: Solid Sphere

Correct answer: 1150/171

Explanation (outline):

The given expression is a combination of fractions connected by ÷ and ×.

To solve it correctly:

1. Convert division into multiplication by taking the reciprocal.

2. Simplify fractions step by step (cancel common factors wherever possible).

3. Perform multiplication in numerator and denominator carefully.

4. Reduce the final fraction to its lowest terms.

After simplifying the entire expression, the final value comes out to be: 1150/171

✅ Hence, the correct option is 1150/171.

Correct answer: 0.5

Explanation:

A fair coin is tossed 5 times.

Total possible outcomes:

“At least 3 heads” means:

• 3 heads

• 4 heads

• 5 heads

Calculate favorable outcomes:

✅ Answer: 0.5