Correct Answer: Sponge

Solution : The correct option is Sponge.

One kind of colloid that is an example of foam is a sponge. Foam refers to the dispersion of gas bubbles in a liquid or solid medium, while colloids are materials that have uniformly distributed particles within them. Their colloidal nature allows them to hold and release large amounts of liquid. A sponge is an example of a foam in a colloidal system because it forms a structure resembling foam inside its pores as it absorbs water.

Correct Answer: Only conclusion (I) is true

Solution : The possible Venn diagram for the according to the given statements –

Let's analyse the conclusions –
Conclusion (I): Some guns are ships – According to the Venn diagram, some part of the circle representing guns intersects the circle representing ships. So, this conclusion follows.
Conclusion (II): Some tankers are rockets – According to the Venn diagram, we can see that there is no definite relation between tankers and rockets. So, this conclusion does not follow.

So, only the conclusion I is true. Hence, the fourth option is correct.

Correct Answer: 14, 12, and 12

Solution : Patients in hospital A in all categories = 5 + 3 + 2 + 4 = 14
Patients in hospital B in all categories = 3 + 2 + 5 + 2 = 12
Patients in hospital C in all categories = 5 + 3 + 2 + 2 = 12
Hence, the correct answer is 14, 12, and 12.

Correct Answer: (10, 100, 1000)

Solution : Given:
(12, 144, 1728); (6, 36, 216)

Here, (12, 144, 1728)→(12)² = 144; (12)³ = 1728
(6, 36, 216)→(6)² = 36; (6)³ = 216

Let's check each option –
First option: (11, 121, 1000)→(11)² = 121; (11)³ = 1331 ≠ 1000
Second option: (14, 196, 2197)→(14)² = 196; (14)³ = 2744 ≠ 2197
Third option: (10, 100, 1000)→(10)² = 100; (10)³ = 1000 
Fourth option: (8, 64, 729)→(8)² = 64; (8)³ = 512 ≠ 729

So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.

Correct Answer: AVGAS 100 LL

Solution : The correct option is AVGAS 100 LL.

The Indian Oil Corporation has domestically engineered AVGAS 100 LL for application in piston engine aircraft and unmanned aerial vehicles. Specifically designed to fuel aircraft equipped with spark-ignition piston engines, where combustion is initiated by a spark plug, this locally developed aviation gasoline is tinted blue and boasts a high octane number.

Correct Answer: (4, 2)

Solution : Given: The coordinates of the point $R(a,b)$ reflected over the origin are $R(–a,–b)$.
The coordinates of $R(–a,–b)$ are reflected over the X-axis to $(–a, b)$.
But $(–a, b)$ $=(–4, 2)$
So, $a=4,b=2$
Thus point R (4, 2)
Hence, the correct answer is (4, 2).

Correct Answer: ALWPH

Solution : Given:
J_SX_WUTNS_P_OYLRKA_

Add 2 in the first and third letter and subtract 4 from the second and fourth letter of the given term –

So, the missing term is ALWPH. Hence, the second option is correct.

Correct Answer: KPAU

Solution : Given:
JPVZ is related to PVBF and HQRS is related to NWXY.

Add 6 to the place value of each letter of JPVZ and HQRS to obtain the required codes –
JPVZ→J + 6 = P; P + 6 = V; V + 6 = B; Z + 6 = F
Thus, JPVZ is related to PVBF.
HQRS→H + 6 = N; Q + 6 = W; R + 6 = X; S + 6 = Y
Thus, HQRS is related to NWXY.
Similarly, follow the same pattern for EJUO –
E + 6 = K; J + 6 = P; U + 6 = A; O + 6 = U

Thus, EJUO is related to KPAU. Hence, the fourth option is correct.

Correct Answer: typically

Solution : The third option is the correct answer.

The sentence provides information about the dimensions of rats, stating that they are generally 5 inches (12 centimetres) or longer. Typically accurately conveys the expected or common size without any extreme variations.

The meanings of the other options are as follows:

• Modestly means with restraint or simplicity.
• Manually means the actions done by hand.
• Surgically means related to surgical procedures

Correct Answer: Formation of Rent Authority Department

Solution : The correct option is the Formation of Rent Authority Department.

The formation of a Rent Authority Department is not considered among the reforms related to agriculture undertaken under the five-year plans. Reforms related to agriculture in the context of five-year plans often include measures to enhance agricultural productivity, improve rural infrastructure, promote irrigation, provide credit facilities to farmers, introduce new technologies, and address issues related to land reforms.