Correct Answer: 2

Solution : The sentence can be improved using the second option.

"Does" is the third-person singular form of the auxiliary verb "do". Observe that the first part of the sentence is in the present tense. We must maintain the same tense throughout the sentence. "Does not exist"

Correct Answer: Rs. 179

Solution : Given: Bill amount = Rs. 400
After giving successive discounts of 15% and 35%,
The bill amount becomes = $400×\frac{85}{100}×\frac{65}{100}=221$
So, discount amount = 400 – 221 = Rs. 179
Hence, the correct answer is Rs. 179.

Correct Answer: Rudra Veena

Solution : The correct answer is Rudra Veena.

Asad Ali Khan was an accomplished Indian musician renowned for his mastery of the Rudra Veena, a plucked string instrument. Specialising in the dhrupad style, Khan earned acclaim as the preeminent Rudra Veena player in India, a

Correct Answer: No improvement required

Solution : The first option is the correct answer.

The sentence is grammatically correct and effectively conveys the idea that grammar is a natural function of children's brains, and they apply it to whatever they find. The structure and they apply it to is clear

Correct Answer: 20

Solution : The difference between marks obtained by boys and girls in all subjects, L1 = (60 + 80 + 140 + 120 + 100) – (120 + 100 + 40 + 60 + 40)
⇒ L1 = 500 – 360 = 140
$\text{Average}=\frac{\text{Sum of all the

Correct Answer: 5400

Solution : Given: The population of a village decreases at the rate of 40% per annum. The population 2 years ago was 15,000.
The previous population ($x$) = 15000
The decrease rate ($r$) = 40%
Time ($t$) = 2 years
So, the present population = $x(1-\frac{r}{100})^2$
=

Correct Answer: Gulf stream

Solution : The correct answer is the Gulf Stream.

The Gulf Stream is a warm ocean current. It is a powerful and swift Atlantic Ocean current that originates in the Gulf of Mexico, flows up the eastern coast of the United States and then heads

Correct Answer: 96 cm²

Solution : Given,
$\triangle \mathrm{ABC}\sim \triangle \mathrm{DEF}$
$\mathrm{BC}=3 \mathrm{~cm}, \mathrm{EF}=4 \mathrm{~cm}$ and the area of $\triangle \mathrm{ABC}=54 \mathrm{~cm}^2$
⇒ $\frac{area(\triangle{ABC})}{area(\triangle{DEF})}=\frac{BC^2}{EF^2}$
⇒ $\frac{54}{area(\triangle{DEF})}=\frac{3^2}{4^2}$
⇒ $\frac{54}{area(\triangle{DEF})}=\frac{9}{16}$
⇒ $area(\triangle{DEF})=\frac{54\times16}{9}$
⇒ $area(\triangle{DEF})=96$ cm$^2$
Hence, the correct answer is 96 cm$^2$

Correct Answer: 90 and 54

Solution : Let the numbers be $5x$ and $3x$
According to the question,
$\frac{5x–9}{3x–9} = \frac{9}{5}$
⇒ $25x–45 = 27x–81$
⇒ $36 = 2x$
⇒ $x = \frac{36}{2}$
⇒ $x = 18$
Thus, the numbers are $(5 × 18) = 90$ and $(3 × 18)

Correct Answer: 40%

Solution : Profit% = $\frac{\text{Selling Price-Cost Price}}{\text{Cost Price}}\times 100$
Let's denote the cost price of the helmet as CP
 helmet is sold for INR 1,650 at a profit of 10%
⇒ Selling Price  = Cost Price + Profit = 1,650 = CP + 0.10 × CP
⇒