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Correct Answer: 220 sec

Solution : P beats Q by 120 metres or 30 sec, which means Q covers 120 m in 30 sec.
Speed of Q = $\frac{120}{30}=4$ m/s
Time taken to cover 1000 m = $\frac{1000}{4} = 250$ sec
P beats Q by 30 seconds, which means P

Correct Answer: 20 percent

Solution : According to the question,
Marked Price = 150% of cost price
$\therefore$ $\text{MP} = 1.5\text{C}$
After a 20% discount, the selling price (SP) is given by:
SP $=$ Marked Price $−$ Discount
⇒ SP $=1.5\text{C}−0.2\times1.5\text{C}=1.2\text{C}$
⇒ Profit $=$ SP $−$ CP $=1.2\text{C}−\text{C}=0.2\text{C}$
Profit Percentage

Correct Answer: 4

Solution : Given: $2x+3y=k$
If (2, 0) is a solution of the linear equation $2x+3y=k$
Putting $x = 2$ and $y = 0$ to get:
⇒ $2(2)+3(0) = k$
$\therefore k = 4$
Hence, the correct answer is 4.

Correct Answer: Fatehpur Sikri

Solution : The correct option is Fatehpur Sikri.

Fatehpur Sikri was the first planned city of the Mughals. Fateh, in Arabic, means victorious. It was built between 1571 and 1585, under the reign of the ruler Akbar. Akbar planned to use the city as his

Correct Answer: (1)

Solution : The error lies in the first part of the sentence.

When describing someone's age in a comparative manner, the correct adjective is older followed by than. In this case, the comparative form of the adjective big is incorrectly used to describe someone's age as 

Correct Answer: Smiling broadly

Solution : The correct choice is the second option.

The idiom beaming from ear to ear is used to describe someone who is pleased, and the context indicates a positive emotion. The word "beaming" itself conveys a sense of radiant happiness. In this case, the person

Correct Answer: Carbon dating

Solution : The correct option is Carbon dating.

The process of using radiation to establish the age of prehistoric items is known as "radiocarbon dating" or "carbon dating." This approach estimates the age of organic materials by using the decay of radioactive carbon isotopes. It specifically

Correct Answer: $\mathrm{\frac{AD+BC}{AD }}$

Solution :

The area of a trapezium,
$\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$
$\text{Area}_{ABCD} = \mathrm{\frac{1}{2} \times (AD + BC) \times EF}$
The area of triangle AED,
$\text{Area}_{AED} = \mathrm{\frac{1}{2} \times AD \times EF}$
The ratio of the area of ABCD to

Correct Answer: Recumbent folds

Solution : The correct answer is Recumbent folds.

Recumbent folds can be characterised as extreme forms of inverted folds where the axial plane becomes nearly horizontal. In these folds, one limb precisely rests beneath the other, allowing a drill hole made in the top limb to

Correct Answer: Energy

Solution : The correct answer is Energy.

Planck's constant (ℎ) has dimensions of energy multiplied by time. In terms of units, it is commonly expressed in joule-seconds (J·s) in the International System of Units (SI). It can be expressed as [ℎ] = [E] × [t] where:

[ℎ}