Explanation

\(U = 25\)

\(\therefore (2x + 1) + x + (x - 2)^{2} = 25\)

\(x^{2} - 4x + 4 + x + 2x + 1 = 25\)

\(x^{2} - x + 5 - 25 = 0\)

\(x^{2} - x - 20 = 0\)

\(\implies x^{2} - 5x + 4x - 20 = 0\)

\(x(x - 5) + 4(x - 5) = 0\)

\(\implies \text{x = -4 or 5}\)

But x cannot be negative in this case, hence, x = 5.

(b) Number of guests that selected just one meal = \(2x + 1 + x^{2} - 4x + 4\)

\(x^{2} - 2x + 5 = 5^{2} - 2(5) + 5 = 25 - 10 + 5 = 20\)

Probability of selecting a person who picked one meal = \(\frac{20}{25} = \frac{4}{5}\).

Correct Answer: B. Rolling a hewn rock to the entrance

Correct Answer: C. backwardation

Explanation

Backwardation is a percentage paid by a person selling stock for the right of delaying its delivery.

Correct Answer: (d) 21

Correct Answer: C. a decrease in the equilibrium price and an increase in the equilibrium quantity bought and sold

Explanation

If supply increase while the demand remains constant, there will be an excess supply over demand which will lead to a decrease in the equilibrium price and an increase in equilibrium quantity.

Correct Answer: D. boring life in the countryside

Correct Answer: B. 12cm

Explanation

Lens formula:

\(\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}\)

where f, d\(_o\) and d\(_i\) are the focal length, object distance and image distance respectively.

The distance from the lens to the focal point is called the focal length. For converging lenses, the focal length is always positive, while diverging lenses always have negative focal lengths.

⇒ \(\frac{-1}{30} = \frac{1}{d_o} + \frac{1}{20}\)

\(\frac{1}{d_o} = \frac{-1}{30} - \frac{1}{20}\)

\(\frac{1}{d_o} = \frac{-2 + -3}{60}\)

→ \frac{-5}{60}\) = \frac{-1}{12}\)

\(d_o = - 12 cm\)

The object distance -12cm = 12cm on the other side of the lens.

Correct Answer: A. he needed salvation

Correct Answer: C. shares

Explanation

Shares can be issued to the public for subscription. A lot of money can be raised to finance the operation of the business through the issue of new shares to members of the public.

Correct Answer: C. money market

Explanation

money market is a component of the financial market for assets involved in short-term borrowing, lending, buying and selling with original maturities of one year or less.