Correct Answer: 14 cm

Solution :
The length of the common chord = 24 cm
Diameter of the 1st circles = 30 cm
Radius of 1st circle = 15 cm
Diameter of 2nd circle = 26 cm
Radius of 2nd circle = 13 cm
The line joining the centres bisects

Correct Answer: Excess salt + water

Solution : The correct option is Excess salt + water.

A brine solution is a mixture of water and excess salt, most commonly sodium chloride (NaCl). It is commonly used for a variety of purposes, including food preservation (such as pickling), flavouring and

Correct Answer: 31

Solution : Given:
+ means –, – means ×, × means ÷, and ÷ means +
30 + 5 – 2 × 10 ÷ 2 = ?

After interchanging the given mathematical signs, we get –
⇒ 30 – 5 × 2 ÷ 10 + 2
⇒

Correct Answer: 55

Solution : Given:

The pattern can be observed running vertically down the columns.
Column 1: (9)² – (6)² = 81 – 36 = 45
Column 3: (12)² – (8)² = 144 – 64 =

Correct Answer: dependent on

Solution : The correct answer is the first option.

This sentence suggests that all forms of life rely on or are interconnected with other forms of life, indicating a state of dependency.

The meanings of the other options are as follows:

Segregated from: It refers

Correct Answer: 10

Solution : $2(\sin 1^{\circ}× \sec 89^{\circ} ) + 3 (\cos 11^{\circ} × \operatorname{cosec} 79^{\circ}) + 5 (\tan 21^{\circ} × \tan 69^{\circ})$
= $2(\frac{\sin 1^{\circ}}{ \cos 89^{\circ}} ) + 3 (\frac{\cos 11^{\circ}}{ \sin 79^{\circ}}) + 5 (\frac{\tan 21^{\circ} }{\cot 69^{\circ}})$
= $2(\frac{\sin 1^{\circ}}{ \sin(90^{\circ}- 89^{\circ})} ) + 3

Correct Answer: Zila Parishad→Block Panchayat→Gram Panchayat→Gram Sabha

Solution : The correct option is Zila Parishad→Block Panchayat→Gram Panchayat→Gram Sabha.

Panchayati Raj is an Indian system of local self-government that seeks to decentralise administrative and financial authority to rural regions. The provisions for the Panchayat Raj system are outlined in Article 243

Correct Answer: 2,000

Solution : Given: The total number of males and females in a town is 70,000.
The number of males is increased by 6% and that of females is increased by 4%, the total number of males and females in the town would become 73,520.
Let $x$ be

Correct Answer: 13114

Solution : Given:
GOA is written as 7151 and DOG is written as 4157.

Write the place value of each letter of GOA, to obtain the required code –
G→7; O→15; A→1
Thus, GOA is coded as 7151.
And, DOG is written as 4157.
D→4; O→15; G→7

Correct Answer: 3

Solution : The correct option is 3

Boron, being an element with atomic number 5, has three valence electrons. It often forms three covalent bonds in compounds. The valency of boron in many of its compounds is thus considered to be 3.