Correct Answer: 8

Solution :
Given, AB is a tangent, OB = 10 cm and OA = 6 cm
Since tangent is perpendicular to the radius at its point of contact, $\angle$OAB = 90$^\circ$
Using Pythagoras theorem,
OB² = AB² + OA²
⇒ 10² = AB

Correct Answer: DO

Solution : Given:
VW, XU, ZS, BQ, ?

Add 2 to the positional value of the first letter and subtract 2 from the positional value of the second letter of the previous terms to get the first and second letters respectively of the next term.
First letter

Correct Answer: 4

Solution :
Given: $\tan\theta=\frac{3}{4} =\frac{Perpendicular}{Base}$
Using Pythagoras' theorem,
$AC=\sqrt{AB^2+BC^2}$
⇒ $AC=\sqrt{3^2+4^2} =5$
$\sin\theta =\frac {\text {Perpendicular}}{\text {Hypotenuse} } = \frac{3}{5}$
Now,
$\frac{1+\sin\theta}{1-\sin\theta} = \frac{1+\frac{3}{5}}{1-\frac{3}{5}} =\frac{8}{2}=4$
Hence, the correct answer is 4.

Correct Answer: JGZSKZ

Solution : Given:
BOUCLE is coded as AJYSKZ.

Subtract 2 and 4 alternatively in the place value of each letter of BOUCLE and write the letters in reverse order, to get the required code. –

Thus, BOUCLE is coded as AJYSKZ.
Similarly, follow the same pattern for

Correct Answer: 64 cm³

Solution : Given: Total surface area of cube = 96 cm²
Let the sides of the cube be $a$ cm.
⇒ $6a^2 = 96$
⇒ $a^2 = 16$
⇒ $a = 4$
Volume of the cube $=a^3 =4^3= 64$ cm³
Hence, the correct

Correct Answer: Drab

Solution : The correct choice is the second option.

Explanation:

Jejune is an adjective used to describe something that is dull, lacking interest, or insipid. It often refers to ideas, writing, or things that are simplistic and unstimulating.

Drab is a fitting synonym in this context.

Correct Answer: have seen

Solution : The correct choice is the second option.

The sentence structure in the passage is in the present perfect tense, indicating actions or events that have occurred at an unspecified time before now or have a connection to the present.

The phrase "as UK pension

Correct Answer: ii, i, iii, iv

Solution : Given:
i. Worrisome ii. Wonderful iii. Worthless iv. Wrong

Step 1: Consider the first letter of each word. Since all the words start with the same letter W, move on to the next letter.
Step 2: The second letter of each

Correct Answer: 2

Solution : Given:
1. MINER ⇒ 56342
2. ANIME ⇒ 63457

After comparing both words and their codes, we get –
In both words, the common letters are M, I, N, and E, and the common codes are 5, 6, 3, 4.
The remaining letter and code

Correct Answer: 10 cm

Solution :
Let O be the centre of the circle. OA = 13 cm and OM = 12 cm.
Let AB be the chord of the smaller circle which is tangent to a smaller circle.
Since the tangent is perpendicular to the radius at its point