In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?
Step 1: Effect of water-cement ratio on workability.
- Workability of concrete refers to how easily it can be mixed, placed, and compacted without segregation.
- When the water-cement ratio increases, more water is available in the mix, which improves flow and lubrication of particles.
\(\Rightarrow\) Hence, workability increases.
Step 2: Effect of water-cement ratio on compressive strength.
- According to Abrams' law, compressive strength of concrete is inversely proportional to the water-cement ratio.
- Higher water content dilutes the cement paste, increases porosity after hardening, and reduces the bond strength.
\(\Rightarrow\) Hence, compressive strength decreases.
Step 3: Match with options.
- (A) Correct: Strength decreases, workability increases.
- (B) Incorrect: Opposite of the true behavior.
- (C) Incorrect: Workability does not decrease.
- (D) Incorrect: Both do not increase together.
Thus, the true statement is option (A).
\[
\boxed{\text{Compressive strength decreases but workability increases.}}
\]
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of 800 mm\(^2\) area at an effective cover of 40 mm. Consider M20 concrete and Fe415 steel. Let the stress block considered for concrete in IS 456:2000 be replaced by an equivalent rectangular stress block, with no change in (a) the area of the stress block, (b) the design strength of concrete (at the strain of 0.0035), and (c) the location of neutral axis at flexural collapse.
The ultimate moment of resistance of the beam (in kN.m) is ___________ (round off to the nearest integer).
Consider the beam section shown in the figure, with \( y \) indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that \( y = 18.75 \, {mm} \), when the section has not yielded at the top and bottom fibres. Further, \( y \) decreases to 5 mm, when the entire section has yielded. The shape factor of the section is ........ (rounded off to 2 decimal places).

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:
1. \( P<Q \)
2. \( S>P>T \)
3. \( R<T \)
If integers 1 through 5 are used to construct such a number, the value of P is:



