Explore topic-wise InterviewSolutions in Current Affairs.

Given details are,

Let side of cube B be ‘x’ cm

Then, side of cube A = 3x cm

So now,

Ratio = volume of cube A / volume of cube B

= (3x)³ / (x)³

= 27x³/ x³ 

= 27/1 

= 27:1

Correct option is (C) 1000 mm³

\(\because\) 1 cm = 10 mm

\(\therefore\) \(1\,cm^3\) = \(10^3mm^3=1000\,mm^3\)

Correct option is  C) 1000 mm³

(C) 90°

The measure of quadrantal angles is an integral multiple of 90°

(i) False 

(ii) True 

(iii) False 

(iv) True

Types of triangles on the basis of sides 

(i) 3.5 ≠ 3 ≠ 1.8 – Scalene triangle 

(ii) 2.8 ≠ 2 = 2 – Isosceles triangle 

(iii) 5.2 = 5.2 = 5.2 – Equilateral triangle.

Name of given quadrilateral 

(i) ABCD, ABJI, EFGH, JIDC, and 16 small quadrilaterals in JIDC 

(ii) ABCG, CDEF.

Identification of triangles on the basis of sides

(i) Equilateral triangle 

(ii) Scalene triangle 

(ii) Isosceles triangle.

Yes, this is a equilateral triangle, and its all angles are acute angle.

A round complete by a hand of a watch is called 1 rotation. It makes an angle of 360°, which is called complete angle.

(i) Obtuse-angled triangle 

(ii) Right angled triangle 

(iii) Obtuse angled triangle 

(iv) Acute angled triangle 

(v) Acute angled triangle 

(vi) Acute angled triangle 

(vii) Right angled triangle 

(viii) Obtuse angled triangle

No, because if two right angles are made, then we cannot made third vertex of triangle.

Closed curves from A to Z are ‘O’.

Angle whose measure is 180°, called straight angle.

(ii) scalene triangle

(a) Yes, quadrilateral triangle. 

(b) No, because sum of two sides of triangle is need to be more than third side. 

(c) Yes, isosceles triangle. 

(d) Yes, equilateral triangle.

One right angle can a triangle

The rat will be able to way out from the following curves – 

(i), 

(iv), 

(v), 

(vi), 

(vii), 

(viii).

Angle whose measure is less than 90°, called acute angle.

(iii) no. effect on angle

(a) No, because it is an open curve. 

(b) Yes, because it is a closed curve made up of line segment. 

(c) No, because this closed curve is not made up of line segments. 

(d) No, because this closed curve is not made up of line segments.

Triangles in given figures : 

(iv), 

(vi), 

(vii)

(ii) obtuse angle

Interior points – A, D 

Exterior points – C, F, G 

Boundary points – B, E

(i) mutually perpendicular 

(ii) right angled triangle 

(iii) quadrilateral 

(iv) closed 

(v) interior, boundary, exterior 

(vi) polygon 

(vii) rectangle 

(viii) square

Whether a part of p is close, but its not a closed curve, because we cannot reach at initial point through it.

(i) Interior points – P, Q, R 

(ii) Exterior points – S, U, T 

(iii) Yes, N and L lie on the boundary.

(iii) If two intersecting lines are mutually perpendicular, then angle between them will be 90°

(a) Quadrilateral 

(b) Triangle 

(c) Pentagon 

(d) Hexagon

Name of triangles in the given figures are 

(i) ∆ABC, ∆DEF, ∆DBF, ∆EFC, ∆ADE 

(ii) ∆PTU, ∆STW, ∆VRW, ∆UVQ

Types of triangles on the basis of angles 

(i) 1050 ≠ 46° ≠ 29°, 105° > 90° Obtuse – angled triangle 

(ii) 60° = 60° = 60°, 60° < 90° Acute – angled triangle 

(iii) 57° ≠ 33° ≠ 90° Right – angled triangle.

Identification of triangles on the basis of angles

(i) Right – angled triangle 

(ii) Acute – angled triangle 

(iii) Obtuse – angle triangle

(A) Open curves – 

(i), 

(vi) 

(B) Closed curves – 

(ii), 

(iii), 

(iv), 

(v)

(a) Isosceles triangle 

(b) Scalene triangle 

(c) Equilateral triangle 

(d) Equilateral triangle 

(e) Isosceles triangle 

(f) Scalene triangle.

(i) True 

(ii) False 

(iii) False 

(iv) True 

(v) True

(i) ∠R 

(ii) ∠Q or ∠S 

(iii) Side PS 

(iv) Side RS or Side PQ

(v) ∠P, ∠Q, ∠R and ∠S.

1. Sides – 4 (AB, BC, CD, DA) 

2. Vertices – 4 (A, B, C, D) 

3. Angles – 4 (∠A, ∠B, ∠C, ∠D)

If water required for 1 person per day = 75 l

Then water required for 5000 people per day = 75 × 5000 = 375000 l

= 375000 × 0.001 m³

= 375 m³

(as 1 liter = 0.001 m³)

Given, dimensions of overhead tank = 40 m × 25 m × 15 m

⇒ Volume of tank = 40 × 25 × 15 = 15000 m³

Days till the water if this tank will last = (volume of tank)/(water consumed by 5000 people per day)

= 15000/375

= 40

Thus, the water of this tank will last till 40 days.

Volume of laddoo having radius 5 cm (V₁) = \(\frac{4}{3}\)x \(\frac{22}{7}\) x (5)³ 

= \(\frac{11000}{21}\) cm³ 

Also, Volume of laddoo having radius 2.5 cm (V₂) = \(\frac{4}{3}\)πr³ 

= \(\frac{4}{3}\) x \(\frac{22}{7}\) x (2.5)³ cm³ 

= \(\frac{1375}{21}\) cm³ 

Therefore, Number of laddoos of radius 2.5 cm that can be made = V₁/V₂ 

= \(\frac{11000}{1375}\)

= 8

Volume of a sphere = (4/3)πr³ 

Given, 

shopkeeper has one laddoo of radius 5 cm 

Volume of the laddoo = (4/3) × (22/7) × 5³ 

Now, 

From this one laddoo, 

laddoos of radius 2.5 cm are to be made. 

Volume of laddoo of radius 2.5cm = (4/3) × (22/7) × 2.5³ 

∴ No. of laddoos of radius 2.5 cm that can be made =

=\(\frac{(\frac{4}{3}\times\frac{22}{7}\times5^3)}{\frac{4}{3}\times\frac{22}{7}\times2.5^3}\) = 8

Khyats are the historical scriptures of the Rajasthani literature. The contemporary rulers got portrayed their dignity, glory, status and dynasties through these scriptures.

Fud means picturing of a folk deity on a piece of cloth to present a historical or Pauranic story e.g. Dev Narayan Maharaj Fud, Bapuji Ri Fud etc.

(a) Nakki lake

The Dilwara Jain temples are known for their supreme or super artistic beauty.

Udaipur is known as the city of lakes.

(d) Shekhawati region

Three havelis of Jaisalmer – Havelis of Jaisalmer are known for their perforated cutting of stones, namely – 

1. Salamsingh Haveli 

2. Nathmal Haveli 

3. Pataon Ki Haveli

Tripura Sundari Mandir is in Talwara, the Banswara district.

Correct option is (b) can be learned.

Correct option is (a) Message, noise, feedback

Correct option is (a) Eye contact