Explanation

• Price of 2½ dozens eggs = Rs. 75

• 1 dozen = 12 eggs

So:

2x1​/2 dozens=2.5×12=30 eggs

Now find the price of one egg:

$$text{Price of 1 egg} = frac{75}{30} = text{Rs. 2.50}$$

Explanation

•  Pakistan helps Srilanka with $ 50 million
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• PM Imran Khan offered a $50 million line of credit to Sri Lanka for defense purchases. During his visit to Sri Lanka in February 2021
• ***
• Pakistan has extended a $50m line of credit for defense purchases to Sri Lanka
• Pakistan would provide Rs52 million for the promotion of sports in Sri Lanka, according to the communique
• Pakistan has decided to give Colombo a $200 million loan for the purchase of rice and cement,
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• Sri Lanka: located in South Asia
• 
  
• Capital: Colombo
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• Currency: Sri Lankan rupee

Explanation

Deng Xiaoping is widely recognized as the architect of China's significant economic reforms, known as "Reform and Opening-up."

These reforms, initiated after Mao Zedong's death

Explanation

"Complete and constant openness is a notion that can be reduced to absurdity. Am I required to stop everyone on the street and tell them my reaction to their appearance?"

The sentence uses irony to question extreme openness, and "reduced" and "required" fit the tone and logic well.

Reduced means کم

Required means ضروری ہے

Explanation

 "I would die rather than ask a loan."

After "rather than", we use the base form of the verb (bare infinitive)

When it follows another verb in the same clause, especially after modal verbs like would.

So:

• "I would die rather than ask a loan" (Correct)

• "To ask"  (Infinitive form is incorrect here)

• "Have asked"  (Perfect form is not suitable)

Explanation

 The cabinet was impelled to extreme measures."

"Impelled to" is a common phrase meaning to be driven or urged toward a particular action or decision.

Explanation

313−225=88

Explanation

Insulin is the hormone secreted by the pancreas, which plays a crucial role in regulating blood sugar levels.

It helps in the metabolism of proteins, starches, and fats by facilitating the absorption of glucose into cells.

Explanation

A White Dwarf is the remnant of a low or medium-mass star (like our Sun) after it has exhausted its nuclear fuel (hydrogen and helium).

It no longer undergoes fusion and slowly cools over billions of years.

Explanation

If $a + 3b = 6$ and $ab=3$, then the value of $a^2 + 9b^2$ is:

We are given:

a+3b=6(1),ab=3(2)

$$$$a+3b=6(1),ab=3(2)

Now square equation (1):

$$(a + 3b)^2 = 6^2 = 36 Rightarrow a^2 + 9b^2 + 6ab = 36$$

Use $ab = 3$

$$a^2 + 9b^2 + 6(3) = 36 Rightarrow a^2 + 9b^2 + 18 = 36 Rightarrow a^2 + 9b^2 = 18$$