Correct Answer: 260

Solution : Let the quantity of wheat Arbind sells at 9% profit be $\text{x}$ kg.
The remaining quantity he sells at 19% profit is = $650 - \text{x}$  kg
The profit obtained from selling the first part at 9% profit is = $0.09\text{x}$ kg
The profit obtained from selling the second part at 19% profit is = $0.19(650 - \text{x})$ kg
According to the question,
$0.09\text{x} + 0.19(650 - \text{x}) = 0.15 \times 650$
$⇒0.09\text{x} + 0.19 \times 650 - 0.19\text{x} = 97.5$
$⇒-0.1\text{x} + 123.5 = 97.5$
$⇒-0.1\text{x} = -26$
$\therefore \text{x} = 260$
Hence the correct answer is 260 kg.

Correct Answer: Astronomer

Solution : Given:
Field : Farmer :: Observatory : ?

Like in, Field : Farmer → Farmer works in a Field.
Similarly, follow the same pattern for  Observatory : ?→Astronomer works in an observatory;

Therefore, the observatory is related to astronomers. Hence, the second option is correct.

Correct Answer: 38 : 55

Solution : From the given table,
Total number of pages printed by printer D on Friday and Sunday together = 206 + 326 = 532
And, Total number of pages printed by printer A on Friday and Saturday together = 350 + 420 = 770
Required Ratio = 532 : 770 = 38 : 55
Hence, the correct answer is 38 : 55.

Correct Answer: 2

Solution : The error lies in the second part of the sentence marked by the second option.

As per subject-verb agreement, their is a plural pronoun, and the helping verb was should be replaced with were to make the sentence grammatically correct. When a collective noun acts as an individual unit, it is treated as a singular noun, but when we are referring to the individual members in a group, it will be followed by a plural verb.

Therefore, the correct sentence should be: "The Management Committee were divided in their opinion."

Correct Answer: stoic

Solution : The second option is the correct answer.

A stoic refers to a person who can endure pain or hardship without showing their feelings or complaining. Stoicism is a philosophy that encourages self-control, resilience, and the acceptance of adversity with a calm and uncomplaining demeanour.

The meanings of the other options are as follows:

• Agnostic refers to a person who is unsure or sceptical about the existence of God or the supernatural.
• Ascetic refers to a person who practices severe self-discipline and abstains from indulgence, often for religious reasons.
• A pedant refers to a person who is excessively concerned with minor details and rules, often in a narrow or tedious way.

Therefore, the correct answer is stoic.

Correct Answer: 70

Solution : Given: 
× stands for +, + stands for ÷, – stands for × and ÷ stands for –
76 ÷ 5 – 6 + 3 × 4 = ?

After interchanging the given mathematical signs, the equation becomes –
76 – 5 × 6 ÷ 3 + 4
76 – 5 × 2 + 4
76 – 10 + 4
= 70

So, 70 is the answer to the given equation. Hence, the second option is correct.

Correct Answer: Helicase

Solution : The correct option is Helicase.

Catalysing the unwinding of the DNA helix during replication is an enzyme called DNA helicase. As a result of its ability to break hydrogen bonds between complementary base pairs, DNA helicase is crucial to DNA replication because it permits DNA strands to split, and provides templates for new strand composition.

Correct Answer: Madhya Pradesh

Solution : The correct answer is Madhya Pradesh.

Andhra Pradesh, Bihar, Karnataka, Maharashtra, Telangana, and Uttar Pradesh are the six states with bicameral legislatures. A bicameral legislature is not present in Madhya Pradesh. The two houses in a bicameral system are usually known as the Legislative Assembly (Vidhan Sabha) and the Legislative Council (Vidhan Parishad).

Correct Answer: 16 and 12; + and –

Solution : Given:
16 × 4 + 12 ÷ 4 – 15 = 59

Let's check each option –
First option: 4 and 12; × and ÷
Since there are two 4s in the given equation, it is not clear which 4 should be interchanged with 12. Therefore, this option is incorrect.
Second option: 12 and 15; ÷ and –
On interchanging the mathematical signs and numbers, we get –
16 × 4 + 15 – 4 ÷ 12 = 59
On solving the L.H.S. of the equation –
= 16 × 4 + 15 – 4 ÷ 12
= 16 × 4 + 15 – 0.33
= 64 + 15 – 0.33
= 78.67 ≠ 59
Third option: 16 and 12; + and –
On interchanging the mathematical signs and numbers, we get –
12 × 4 – 16 ÷ 4 + 15 = 59
On solving the L.H.S. of the equation –
= 12 × 4 – 16 ÷ 4 + 15
= 12 × 4 – 4 + 15
= 48 – 4 + 15
= 59
Fourth option: 15 and 16; × and +
On interchanging the mathematical signs and numbers, we get –
15 + 4 × 12 ÷ 4 – 16 = 59
On solving the L.H.S. of the equation –
= 15 + 4 × 12 ÷ 4 – 16
= 15 + 4 × 3 – 16 
= 15 + 12 – 16
= 11 ≠ 59

So, only the third option satisfies the equation. Hence, the third option is correct.

Correct Answer: Cattle : Barn

Solution : Given: 
Bird : Nest (The shelter place of a bird is called a nest.)

Let's check the options –
First option: Goat : Grass→Goat eats grass.
Second option: Tiger : Kennel→The shelter place of the tiger is called a lair.
Third option: Ant : Sugar→Ant eats sugar.
Fourth option: Cattle : Barn→The shelter place of cattle is called a barn.

So, only the fourth option follows the same pattern as the given pair. Hence, the fourth option is correct.