Question Discussion & Solution

The correct answer is Dungarpur.

• Dungarpur district of Rajasthan does not touch two States of India.

Key Points

• Dungarpur district is the third smallest district of Rajasthan.
  • It shares borders with Udaipur and Banswara districts.
  • The district consists of 5 tehsils Aspur, Dungarpur, Sagwara, Simalwara and Bchiwara.
  • Places of historic importance in Dungarpur are Juna Mahal, Udai Bilas Palace, Gaib Sagar Lake and Badal Mahal.

Additional Information

• Dholpur shares border with Bharatpur and Karauli district of Rajasthan
  • It also shares a border with Agra of Uttar Pradesh and Gwalior and Moreana of Madhya Pradesh.
• Bharatpur district touches the district of Alwar, Dholpur and Dausa of Rajasthan.
  • It also shares a border with the Mathura and Agra districts of Uttar Pradesh and Gurgaon district of Haryana.
• Hanumangarh shares its borders with Churu, Sri Ganganagar, Punjab and Haryana.

The correct answer is Concave.

Key Points

• Concave Mirror:-
  • If a hollow sphere is cut into parts and the outer surface of the cut part is painted, then it becomes a mirror with its inner surface as the reflecting surface.
  • This type of mirror is known as a concave mirror.
  • A concave mirror has a reflective surface that is curved inward and away from the light source.
  • Concave mirrors reflect light inward to one focal point.
  • Unlike convex mirrors, the image formed by a concave mirror shows different image types depending on the distance between the object and the mirror.
  • Torch lights, automobile headlights are examples of concave mirrors.
  • The mirror used by the dentists to see the teeth of the patients is also a Concave Mirror.
  • Uses of Concave Mirror:
  • Used in shaving mirrors, ophthalmoscope, astronomical telescopes, headlights, solar furnaces.

Additional Information

• Convex Mirror:-
  • If the cut part of the hollow sphere is painted from inside, then its outer surface becomes the reflecting surface.
  • This kind of mirror is known as a convex mirror.
  • A convex mirror is also known as a diverging mirror as this mirror diverges light when they strike its reflecting surface.
  • Virtual, erect, and diminished images are always formed with convex mirrors, irrespective of the distance between the object and the mirror.
  • A convex mirror is a diverging mirror in which the reflective surface bulges towards the light source.
  • They are not used to focus light as they reflect light outwards.
  • The image formed by convex mirrors is smaller than the object but gets larger as they approach the mirror.
  • Magnifying glasses, telescopes are examples of convex mirrors.
  • Uses of Convex Mirror: Inside buildings, Vehicle mirrors, Magnifying glass, Security purposes.
• Plane Mirror:-
  • A plane mirror is a flat, smooth reflective surface.
  • A plane mirror always forms a virtual image that is upright, and of the same shape and size as the object, it is reflecting.
  • A spherical mirror is a mirror that has a consistent curve and a constant radius of curvature.
  • The images formed by a spherical mirror can either be real or virtual.
  • Spherical mirrors are of two types:
    • Concave Mirror
    • Convex Mirror
  • Uses of Plane Mirror: Solar cookers, looking glass, scientific instruments, constructing periscope which is used in submarines, kaleidoscope, a toy which produces beautiful patterns, SLR camera to click photos.

If '+' means 'divide by', '-' means 'add to', '×' means 'subtract from' and '/' means 'multiply by',

[{(20 × 6) × (7 / 2)} + (3 - 2)] / 5

We put the right symbol given is the question-

= [{(20 - 6) - (7 × 2)} / (3 + 2)] × 5

Now apply BODMAS rule

= [{14 - 14} / 5] × 5

= [0 / 5] × 5

= 0

Hence, "0" is the correct answer.

The correct answer is Baran.

Key Points

• Shergarh Sanctuary:
  • It is located in Baran district, near Shergarh town. 
  • It was declared as a protected area in 1983.
  • This sanctuary is home to tiger, leopard, wild boar, sloth bear, chital, python, and other animals.

Additional Information

• Other Wildlife sanctuaries in Rajasthan:

Total number of boxes of matchsticks = 3600

Total number of cartons = 10

Let the number of packets in one carton be x.

⇒ Number of packets in 10 cartons = 10x.

Number of boxes of matchstick in a packet = 30

⇒ Number of boxes of matchstick in 10x packets = 30(10x) = 300x

So, we have:

Total number of boxes = Number of boxes of matchstick in 10x packets

⇒ 300x = 3600

⇒ x = 12