Correct Answer: 105°

Solution :
KI = IT and EK = ET
$\angle$ KET = 150°
In $\triangle$ KEI and $\triangle$ TEI,
KI = IT [Given]
EK = ET [Given]
EI = EI [Common]
So, $\triangle$ KEI $\cong$ $\triangle$ TEI,
⇒ $\angle$ KEI = $\angle$ TEI
Now,
$\angle$ KET +

Correct Answer: FKQDWE

Solution : Given:
SLAIN is written as PKCNU and DENT is written as VPGF.

Follow the pattern to obtain the required code –

Thus, SLAIN is coded as PKCNU.
And, DENT is written as VPGF.

Thus, DENT is coded as VPGF.
Similarly, follow the same pattern for

Correct Answer: Abridgement

Solution : The correct choice is the fourth option.

Abridgement is a term used to describe a version of a larger work that has been condensed. This involves shortening the original work by omitting details while still preserving the essential content and narrative.

The meanings of

Correct Answer: 48

Solution : Given: The ratio of the triangle's sides
$=\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$.
$=\frac{1}{2} × 12 : \frac{1}{3} × 12 : \frac{1}{4} × 12$
$=6: 4: 3$
The perimeter of the triangle is $104$ cm.
$\therefore$ The longest length of the triangle = $\frac{104}{6+4+3}×6= 48$ cm

Correct Answer: exchange

Solution : The correct choice is the third option.

The word exchange is appropriate in this context as it implies a mutual or reciprocal action of giving and receiving greetings.

People at the marketplace take time from their busy schedules not just to offer greetings but also

Correct Answer: $\frac{1}{2}\left(5+\frac{1}{5}\right)$

Solution : Given: $\sec \theta+\tan \theta=5$ ..... equation1
$\sec^{2}\theta - \tan^{2}\theta =1$
⇒ $(\sec \theta+\tan \theta)(\sec \theta-\tan \theta)=1$
⇒ $\sec \theta-\tan \theta=\frac{1}{5}$......equation2
Adding equation1 and equation2
$2\sec\theta = 5 + \frac{1}{5}$
⇒ $\sec\theta=\frac{1}{2}\left(5+\frac{1}{5}\right)$
Hence, the correct answer is $\frac{1}{2}\left(5+\frac{1}{5}\right)$.

Correct Answer: the postman would be

Solution : The fourth option contains the error.

Would is used to express a past event and is the past tense of will, which is used to predict a future event. Since we are talking about a future event, we should use will

Correct Answer: Rs. 2,850

Solution : Ankita sold her watch at a 5% loss.
Here, SP = Selling price and CP = Cost price
Let the SP of the watch be $x$.
Then, CP $= \frac{100}{(100 - \text{Loss}\%)} \times SP =\frac{100}{(100- 5)} \times x = \frac{100}{95}x$
If she sold for

Correct Answer: Gandhi advocated complete sepration of Politics from religion.

Solution : Correct Answer is Gandhi advocated complete sepration of Politics from religion.

He argued for a religion-based form of secularism, based on the principle of tolerance and plurality as a means of promoting the peaceful co-habitation of various religious

Correct Answer: 2

Solution : Amount = INR 7500
1. Two successive discounts of 5% and 5%
Net discount % = $5 +5- \frac{5×5}{100}$ = $9.75$
2. Single discount of 10%
3. Two successive discounts of 8% and 2%
Net discount % = $8 +2- \frac{8×2}{100}$ = $9.84$
So, the