The correct answer is option 2 i.e. 18.

⇒ Prime factors of (96 - 6) = 90 = 2 × 3 × 3 × 5

⇒ Prime factors of (148 - 4) = 144 = 2 × 2 × 2 × 2 × 3 × 3

⇒ Prime factors of (73 - 1) = 72 = 2 × 2 × 2 × 3 × 3 

⇒ HCF of 90, 144, and 72 = 2 × 3 × 3 = 18

Hence, 18 is the number that divides 96, 148, and 73, leaving the remainder 6, 4, and 1.

The correct answer is option 2 i.e 68 kg.

⇒ weight of 10 students increased by 3 kg.

⇒ So the total weight increased= 10 × 3 = 30 kg

⇒ So we can find the weight of new student

= 38 + 30 = 68kg.

The correct answer is option 4 i.e. Neither conclusion I nor II follows.

From the given statements, the Venn diagram will be:

I. Some bats are iron - False (This is possible but not definite as there is no direct relation between bats and iron is given).

II. Some woods are balls - False (This is possible but not definite as there is no direct relation between woods and balls is given).

Hence, the correct answer is Neither conclusion I nor II follows.

The correct answer is option 3 i.e. NO.

Given series: BD, DF, HJ, NO

B + 2 = D, D + 4 = H, H + 6 = N

D + 2 = F, F + 4 = J, J + 5 = P ≠ O

Here, the term NO is wrong. 

Hence, the correct answer is NO.

The correct answer is option 2 i.e. Karnataka.

India's second largest butterfly species Southern Birdwing Butterfly was recently located in the satellite campus of The American College in the Madurai District of Tamil Nadu. The Southern Birdwing Butterfly also known as the Sahyadri Birdwing is distributed across Western Ghats. Its IUCN status is Least Concern and it is the State butterfly of Karnataka.

The correct answer is Option 2 i.e. Wheat.

Wheat requires a cooler climate and is typically grown in the winter season in temperate regions. It is a Rabi crop, meaning it is sown in the winter and harvested in the spring. Wheat thrives in cool weather during its early growth stages, and its development benefits from the moderate temperatures and adequate moisture available during the winter months. This makes it well-suited for cultivation in temperate climates where winter conditions support its growth cycle.

The correct answer is Option 3 i.e. Calcium oxalate.

• Calcium oxalate stones are the most common type of kidney stones.
• Kidney stones are the solid masses that are formed when there are high levels of calcium, oxalate, cystine, or phosphate.
• The different types of kidney stones are Calcium stones, Uric acid stones, Struvite stones, and Cystine stones.

The correct answer is option 4 i.e. Ductility.

The ability of metals to be stretched into thin wires is known as ductility. Ductility is a fundamental property of metals, allowing them to be drawn out into long, thin wires without breaking or fracturing. This property is essential in various applications, such as in the manufacturing of electrical wires, cables, and jewelry. Metals exhibiting high ductility can undergo extensive deformation under tensile stress, enabling them to be shaped and formed into desired configurations with ease.

The correct answer is option 3 i.e. Stimulates the pancreas to release bicarbonate-rich fluid.

• Secretin is a hormone released by the S-cells of the duodenum in response to the acidic chyme entering from the stomach.
• Its primary function is to stimulate the pancreas to secrete a bicarbonate-rich fluid into the small intestine.
• This bicarbonate neutralizes the acidity of the chyme, providing an optimal pH for the action of digestive enzymes in the small intestine and protecting the intestinal lining from acid damage.

The correct answer is Option 3 i.e. 36.

As per the given data

⇒ x × 5/4 × (8/9) = 240

⇒ 40x/36 = 240

⇒ x = 216

1/6th of the number = x / 6 = 216/6 = 36