Correct Answer: 270 cm²

Solution : Let the two sides of the right-angled triangle as $a$ and $b$, where $a > b$.
Given that the hypotenuse is 39 cm and the difference of the other two sides is 21 cm.
$⇒a^2 + b^2 = 39^2$
$⇒a^2 + b^2 =

Correct Answer: Accomodate

Solution : The correct choice is the fourth option.

The incorrectly spelled word is "accomodate". The correct spelling is accommodate, which means to provide lodging or fit in with someone's needs.

The meanings of the other options are as follows:

• Ambassador: A diplomat or representative.

Correct Answer: 38

Solution : Let the unit digit of the number be y and the tens digit be $x$.
Number = $10x + y$
Product of digits = $x × y = 24$ ------(i)
According to the question,
$10x + y + 45 = 10y + x$
$9y -

Correct Answer: Both I and II

Solution : The correct answer is Both I and II

Manpreet Singh is an amateur boxer from India. He is a product of the Army Sports Institute. He won a silver medal at the 2010 Asian Games in Guangzhou, China.

Neeraj Chopra is the

Correct Answer: 18 days

Solution : 
Given: Pramod has done $\frac{1}{4}$ of a job in $9$ days.
So, he alone will finish the work in $36$ days.
Given, Saroj completes $\frac{3}{4}$th of the work in $27$ days
So, she will complete the whole work in $36$ days
In 1

Correct Answer: cabcb

Solution : Given:
aac_bba_cc_baa_cb_

To fill the series we have to divide the series – aac_bb / a_cc_b / aa_cb_
Let's check the options –
First option: abaac; aacabb / abccab / aaacbc (No repeated pattern has been

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
According to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the

Correct Answer: access to its Wi-Fi at 100 railway stations

Solution : The correct option is access to its Wi-Fi at 100 railway stations.

The Prime Minister Wi-Fi Access Network Interface (PM-WANI) programme, launched by RailTel, offers free public Wi-Fi at 100 railroad stations. By the end of June 2022,

Correct Answer: $\frac{s^2-1}{s^2+1}$

Solution : Given, $\operatorname{cosec} \theta+\cot \theta=\mathbf{s}$
We know, $\cot\theta = \frac{\cos\theta}{\sin\theta}$ and $\operatorname{cosec} \theta=\frac{1}{\sin\theta}$
⇒ $\frac{1}{\sin\theta}+\frac{\cos\theta}{\sin\theta}=s$
⇒ $\frac{1+\cos\theta}{\sin\theta}=s$
Squaring both sides, we get
⇒ $\frac{(1+\cos\theta)^2}{\sin^2\theta}=s^2$
We know, $\cos^2\theta+\sin^2\theta=1$
⇒ $\frac{1+\cos^2\theta+2\cos\theta}{1-\cos^2\theta}=s^2$
Applying componendo and dividendo,
⇒ $\frac{1+\cos^2\theta+2\cos\theta+1-\cos^2\theta}{1+\cos^2\theta+2\cos\theta-(1-\cos^2\theta)}=\frac{s^2+1}{s^2-1}$
⇒ $\frac{1+\cos^2\theta+2\cos\theta+1-\cos^2\theta}{1+\cos^2\theta+2\cos\theta-1+\cos^2\theta}=\frac{s^2+1}{s^2-1}$
⇒ $\frac{2+2\cos\theta}{2\cos^2\theta+2\cos\theta}=\frac{s^2+1}{s^2-1}$
⇒ $\frac{2(1+\cos\theta)}{2\cos\theta(\cos\theta+1)}=\frac{s^2+1}{s^2-1}$
⇒ $\frac{1}{\cos\theta}=\frac{s^2+1}{s^2-1}$
⇒ $\cos\theta=\frac{s^2-1}{s^2+1}$
Hence,

Correct Answer: C3

Solution : Total shirts sold by company C1 = (190 + 225 + 240 + 215 + 205) = 1075
Total shirts sold by company C2 = (226 + 244 + 175 + 235 + 210) = 1090
Total shirts sold by company C3 = (184 +