Explanation

Our customs and traditions are our essence.

The subject "custom and tradition" is plural, as it refers to two things.

Explanation

Let cost price = x
Loss of 20% means:
540,000 = x × 0.80 → x = 540,000 ÷ 0.80 = 675,000
To gain 7.5%:
New selling price = 675,000 × 1.075 = Rs. 725,625

(But this seems inconsistent with the options — let’s double-check)

Correction:
540,000 is after a 20% loss, so:
Cost Price = 540,000 ÷ 0.80 = 675,000

Now for 7.5% profit, Selling Price = 675,000 × 1.075 = Rs. 725,625

Explanation

 The State Bank of Pakistan (SBP) is responsible for supervising the banking sector in Pakistan. 

Explanation

 The phrase "as if" is followed by the past tense (subjunctive mood) to express something imaginary or unreal.

Explanation

 The word "means" (as in income or resources) is a plural noun despite its singular appearance.

So the correct verb is "are"

Explanation

 A hundred rupees is the price of this pen.

"Hundred rupees" refers to a singular amount of money, which is treated as a singular noun.

So the correct verb is "is

Explanation

Original: 1 teacher per 15 students → 1200 ÷ 15 = 80 teachers

New ratio: 3 teachers per 40 students → (1200 ÷ 40) × 3 = 30 × 3 = 90 teachers

Teachers joined = 90 - 80 = 10

Explanation

Let apple = x, orange = y

5x + 4y = 340

Try options:

B) 5×40 + 4×20 = 200 + 80 = 340 

Explanation

limₓ→0 (sin(ax) / sin(bx))

Divide the numerator and the denominator by x:

= limₓ→0 [(sin(ax)/x) ÷ (sin(bx)/x)]  

= (a/b) × limₓ→0 [sin(ax)/(ax)] ÷ [sin(bx)/(bx)]

As x → 0, sin(kx)/(kx) → 1, so:

Answer: a / b

Explanation

cosecθ − cotθ = (1 - cosθ) / sinθ